{"text":"Question: Let c = -7 + 3. Let z = 6 + c. Let k be z + (-3 - -2) + -1. Solve 5*t + k = 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -43\/3 and 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(0 + 4*(4 + 5*((sqrt(243)*1*-5 - sqrt(243)) + sqrt(243)) + -4)))**2.\nAnswer: 60750000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 2 - 8 = -2*y, 3*b = 2*y + 26. Let c be (120\/(-5) + 4)\/4. What is the units digit of (-6)\/c*40\/b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1468?\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*i*z**4 - 170*i*z - 2622*i - 8*z wrt z.\nAnswer: -8*i*z**3 - 170*i - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by 10\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/27, -0.07, -3891, -1\/5.\nAnswer: -3891, -1\/5, -2\/27, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8293 + -7020. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 9, d: 7}. What is prob of picking 3 d?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*a + 4*a = -4*z + 5, 4*a = -2*z - 36. Let m = 9 + a. Solve 0 = -3*y - m*y - 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = 0, 0 = -3*q - 2*o + o + 36. Calculate the greatest common factor of 96 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*t - 3*a + 24, -t + 61 = -3*t + 11*a for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 1054593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 21.9 - 22. Let i = -118.3 - -118. What is the biggest value in i, -2, z, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s - 15 = -2*z, 2*s + z + 293 = 303 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -75*h - 451 - 224 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 95*l - 987 = -322 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.777126 decades to centuries.\nAnswer: 0.0777126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -17.2 + 17.289. Round b to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 82266345 is divided by 6041.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*s**3 - 1725 + 3508 + 9*s**3 - 1745 - 5*s in the form g*s**3 + p + x*s**2 + t*s and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 199 + -196. Suppose -2*q = -r + 197, -11*q - 595 = -f*r - 7*q. What is the remainder when r is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -15, -127, -459, -1131, -2263?\nAnswer: -3975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 26797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 8*d - 55. Let g be f(8). Let j be 1*((-9)\/(g\/(-2)) - 4). Let a be -9*j\/4*68\/102. Solve -a*o - 2*o - 20 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3153?\nAnswer: 3, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-15)\/350 - 3595898\/124180?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 301 - 192. Differentiate -228*n**3 + 244*n**3 - 24 + x wrt n.\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.86 - 0.14. What is the nearest to 0.1 in u, -6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.071531 and -521723346.\nAnswer: -521723345.928469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a**3 - 6*a**2 + 6*a - 3. Let p be j(5). Suppose p = w - 0. Find the third derivative of b**2 + w*b**6 + 7*b**6 + b**2 - 4*b**6 wrt b.\nAnswer: 600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -12347*i**2*r**4 + 86106*i**2*r**2 - 2*i**2*r + r**5 + 5*r**3 wrt r.\nAnswer: -296328*i**2*r + 60*r**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 131*w + 1183. Let r be d(-9). What is the closest to 1 in 0.1, r, 0.2, -1\/8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*l - 2*l + 216. Let d(a) = 2801*a - 2801*a - l*a**2. Let b(f) = -f**2. Calculate b(d(c)).\nAnswer: -576*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 1 = -2*y, -2*y = 3*y + t - 11. Let f = 552\/5 + -110. Factor 2\/5*n**y + 0*n - f.\nAnswer: 2*(n - 1)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 613819402 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1017349 + -4?\nAnswer: -1017352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 131850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1ad - -332?\nAnswer: 4e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -100781*w**5 - 130151*w wrt w?\nAnswer: -2015620*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 16\/9 of a day?\nAnswer: 2560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -7*h + 3 - 1 + 6*h - 2*h - h**2. Let n be t(1). Sort 0.5, -0.2, n.\nAnswer: n, -0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**3 - 7*a**2 + 5*a + 13. Give w(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15 - (-27 - 12852\/(-308)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 7*t**3 + 2*t**2 - t - 2. Let j be k(2). What is j rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 103\/2478 and 34\/1711.\nAnswer: 71862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3982 is divided by 210.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {e: 4, c: 6, b: 4, z: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 7798792*m. Let t(y) = -y. Calculate t(x(a)).\nAnswer: -7798792*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((g\/((g**(-25)*g)\/g))\/g)\/g)**(1\/34))**(-2\/79) assuming g is positive.\nAnswer: g**(-24\/1343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the third derivative of -11*o**5\/60 - 5*o**4\/24 + 5*o**3\/6 + 3*o**2 + 3. Let w(y) = -10*y**2 - 4*y + 4. Give -4*p(i) + 5*w(i).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a + 0*d + 19*d = -59, 135 - 145 = 5*d for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 144, 279, 414, 549, 684, 819?\nAnswer: 954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in fourty-three halves of a centimeter?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 8 = 3*k, 5*n - 3*n + 5*k = 22. Solve -4*z + 3 = -n for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 + -10011110000101011?\nAnswer: -10011110000110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 399844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14)\/(-18)*(-11 - 750\/(-70))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (355*n**2 + 143*n**2 - 272*n**2)*(-2 + 1 - 1)*(2*n - 1 + 1) in the form f*n**2 + w*n + v + g*n**3 and give g.\nAnswer: -904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -146 - -132. Let c(j) = j**3 + 13*j**2 - 13*j + 9. What is c(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/4 of a gram in milligrams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7?  (a) 1\/8  (b) 2\/17  (c) 0  (d) -0.034  (e) -74\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 46*x + 4. Let j(b) = -3*b + 2. Let s(p) = 6*j(p) + v(p). Suppose -g = 3*g + 4*i - 28, i + 3 = g. Let u(z) = -9*z - 5. Calculate g*s(f) + 16*u(f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 38301479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.552 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 693?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 55 = -9. Suppose l + 2 = 2*g. Calculate the greatest common factor of 85 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.3297 rounded to 1 decimal place?\nAnswer: 7.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1408 and 473.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 2  (b) -0.08  (c) -4  (d) 0.4  (e) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1447?\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 3 + 2)*(3*x - 6*x + 4*x)*(2*x**3 - x**3 - 3*x**3)*(0*x - 2*x + 0*x).\nAnswer: -24*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -3376*t + 3376. Let x(k) = 3*k - 2. Determine b(q) + 1688*x(q).\nAnswer: 1688*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 > 90666\/3443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o*o**(-2\/7)\/o*o)**(-15)*o**(-3\/7)*o*o**3*o)**16)**(2\/7) assuming o is positive.\nAnswer: o**(-1376\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 5299372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.041 + 0.024. Round n to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = d + 5*f + 57, 5382*d - 5377*d + f - 1 = 2*f for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**3 + 2*b**2 - b. Let g be f(1). Let x be -7*(-6)\/(-3) + 0. Let v be (8\/x)\/2 - 0. Which is greater: v or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 405169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -719.865 or -62?\nAnswer: -719.865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -89219*b + 535417. Give a(6).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**30*j*j*j)**(-3\/10) assuming j is positive.\nAnswer: j**(-99\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((x**(-1\/10)*x*x)\/x)\/x)**(-28)*(x\/x**(2\/15))\/(x**15*x))**(1\/30) assuming x is positive.\nAnswer: x**(-37\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 190*o + 10*o**2 + 2*o**3 + 149*o - 9 - 343*o. Give k(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 + (11 - (-5 + -3) - -21).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -28 in -0.3, -3, 4, -1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b**3 + 5*b**2 + 200*b + 74. Give m(17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 3*z**2 + 2 + 1 - 5*z**2 - 1 + 0 + 2*z. Calculate d(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1125344 + 50?\nAnswer: -1125254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-2\/5)*x*x)**(-2\/25)*(x*x**(-1\/8))\/(x**(2\/11)\/x)*x**(-3\/2)*x**(3\/7)*x*(x\/(x**(-1\/3)*x))**5 assuming x is positive.\nAnswer: x**(730057\/231000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -55?  (a) 2\/3  (b) -7  (c) -4  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the third derivative of -s**5\/30 - 11*s**4\/24 + s**3 - 2*s**2 + 65. Let b(k) = 3*k**2 + 21*k - 11. What is 4*b(q) + 7*w(q)?\nAnswer: -2*q**2 + 7*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 2*l - 68, 0 = -3*y - 2 - 13. Let s = -10 + l. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 4*t - 61. Suppose -2*k - 56 = -4*z, z - 17*k + 19*k - 24 = 0. Give g(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = 2*g - 198, -146 = -2*g - 5*z + 34. Suppose -5*m = -m - 460. Let c = -96 + m. Calculate the greatest common factor of c and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 2*t = -644. Let k = 83 + t. Let m(g) = g**3 + 11*g**2 - 10*g - 21. What is the units digit of m(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1470\/84)\/((-28)\/(-48)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from dkdddkdkdkkk?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.1 and -19.761.\nAnswer: 1.9761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 22695 + -22699. What is the closest to 616 in 4, 1, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 155371 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*c = -0*c - 135. Calculate the remainder when c is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*u + 0*u + 0*u)*(-6*u - 22*u + 15*u) + u - u**2 - u)*(-u**3 + 2*u**3 + 0*u**3).\nAnswer: 25*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1416, 2828, 4240, 5652, 7064?\n\"Answer: 1412*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the first derivative of -h**2\/2 - 2. Let p(m) = -m - 7. Let n be p(-12). Let w(x) = n*x - 3*x - x. Determine w(j(f)).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 4448 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -818*y**3 - 5*y**2 - y - 11. Is f(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25 = -4*i - 5*n, 0*n + 20 = 5*i - 4*n for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2764.\nAnswer: 2, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-5415*(-93)\/5301)\/(1\/(-1))\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*sqrt(882)*-3.\nAnswer: -378*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 7, 1, -3, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 128 - 124. Let h = 0.03 + 16.97. Which is the smallest value?  (a) 2\/7  (b) v  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 97\/8069840 and -19\/1210476.\nAnswer: 24209520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 19 = 4*q, -2*q = -7*q - 20. Let h = s - -12. Which is the nearest to -1?  (a) h  (b) -0.2  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*j**2 + 10 - 4*j - 20 + 10 in the form x*j**2 + i*j + m and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5923547, -5923550, -5923557, -5923568, -5923583?\nAnswer: -5923602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v**2 - 4*v + 1. Let o be 7\/5 + 396\/(-90). Give y(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = q + 364, 2*q = -4*d - 0*q + 352. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 5*f = -16, -b - 8 = -5*f + 2*f. Suppose -4*j + 8 = -2*j + 4*o, 6 = -b*j + 3*o. Suppose 3*l - 36 = -j*l. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*g + 5 - 13 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9 - 105*h**3 - 4 - 5 + 426*h**3.\nAnswer: 321*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2\/(-28))\/(3\/12). Let r = 0.182 - -2.118. Are r and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*i + i - i + 2*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1385473\/85 - 16300. Calculate the common denominator of k and 32\/119.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-432)\/45 + 12)\/((-9)\/(-18435)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 1 - 2)*(3*k + 0*k - 2*k) + 3*k + 4*k - 6*k - 2130 - 5606*k - 5515*k + 11142*k in the form b*k + w and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -7*a**3 + a**2 - 2*a + 1. Let r(x) = x**2 + 21*x - 46. Let p be r(-23). Suppose p = 3*g + 3*f, -4*g + 8 = -3*f + 1. What is s(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, n: 1, l: 1, m: 2, o: 2}. What is prob of picking 1 o and 1 s?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -180550, -722214, -1624992, -2888890, -4513914, -6500070?\n\"Answer: -k**3 - 180551*k**2 - 4*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) -5  (b) -0.4  (c) 1\/51  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from apsksbtbaaka. Give prob of sequence btba.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*u + 2*u + 2*u**2 + 6*u - 14 - 9*u = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*2*(-3 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = 4*l - 2*l + 30, x - 4*l = 24. Suppose 34 - 226 = -x*w. What is the highest common divisor of w and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 295b (base 16) to base 10\nAnswer: 10587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-4))\/(((-42)\/(-48))\/(-7))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the second derivative of -m**3\/6 + 11*m**2\/2 - 7*m. Let d be j(8). Suppose -4*r + 19 = -d*y + 6*y, -3*r = 2*y - 11. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 920 - 919.5. What is the nearest to 1\/4 in r, 32, -1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 3*p = 2*p - 14, -14 = -5*m + 4*p. Suppose -2*l + m = l. Suppose 0 = -l*c + 19 + 51. What is the remainder when 68 is divided by c?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -13*c - 6*c**2 + 15*c**2 + 8 - 11*c**2 + 2. Let z be j(-7). Solve -15 + z = -3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 2 = -2. Solve -4*h = 5*o - 25, o - 9 + d = 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 5*z - 3*z. Solve 2*n + 5 - z = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -86 - (81 - 92 - (-26 - -18)).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 59\/(-236) - 38\/(-56)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -104*x - 355. Let g be l(66). Is g bigger than -7220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -60 - 4. Let m = o + 65. Which is the second smallest value?  (a) -1\/2  (b) m  (c) -0.4  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 466*r - 424. Give g(1).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**3 + 13*w**2 + 7*w - 16. Let l be c(-7). Let i(v) = -v**3 + 2 + 229*v - l*v - 2*v**2. Give i(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 405228 and 212.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 32*v - 544. Is 20 a factor of q(52)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2255*k**2*o**3 - 14*k**2*o**2 - k**2 + 2*k*o**3 + 3*o**3 + 1369*o**2 wrt o.\nAnswer: 13530*k**2 + 12*k + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**5\/7 + 32*h**4\/7 - 144*h**3\/7 + 256*h**2\/7 - 160*h\/7.\nAnswer: -2*h*(h - 10)*(h - 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 607*w. Let y(h) = 2*h**2. Determine y(r(g)).\nAnswer: 736898*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v\/(v*v**(1\/24)))*v**(-27))\/(v**(-2\/37))**(-17\/4) assuming v is positive.\nAnswer: v**(-23255\/888)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from mrr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.9172 rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve m - 10 = 4*g - 3, -5*g = 5*m + 15 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-2\/5))**(-24)*(w*w\/(w\/w**0))**(-19) assuming w is positive.\nAnswer: w**(-47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 728 and 1274?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -12, 8*y = 3*w + 4*y - 134. Let c(h) = 92*h + 21*h + 92*h - 9*h + w*h. Let u(z) = -2*z. Calculate u(c(k)).\nAnswer: -492*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*g*z**3 + 36750*g*z**2 + 2*g - 76106*z**3 wrt z.\nAnswer: 18*g - 456636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z + 5. Let b be i(-6). Let f(n) = -11*n. What are the prime factors of f(b)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -10*g**3 + g - 2. Let x be z(2). Suppose -4*j = 4*y - 1544, 4*j + 2*y - 420 = 1126. Let b = j + x. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 152 - 168. Let m be ((-2)\/f)\/((-1)\/(-40)). Solve -5*g - 21 = 3*n - 0*g, 0 = 4*n + m*g + 23 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*q - 649 + 305 + 308 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*i + 2*i - 5*n + 10, 56 = 4*i + 4*n. Solve i = -3*j + 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3*55\/(-30) - 1\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -60 divided by 45763?\nAnswer: -60\/45763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16 - 4*h - 3 - 15.\nAnswer: -4*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 362 + -353 - (1 - 2 - -20)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -8*(387\/72 - 6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -99, 4, 1, 2 in decreasing order.\nAnswer: 4, 2, 1, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 490 minutes after 12:40 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 301476 and 1008.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 16951 + 3238 = -3*d, 0 = 5*d. Let l be (-5)\/(25\/515)*o. Suppose 3*p + 8813 - l = 0. What is p rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from efqfe. What is prob of picking 2 e and 1 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 859490 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 prob of picking 2 j when two letters picked without replacement from {w: 1, u: 1, r: 1, x: 4, j: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*5*(sqrt(363)*3*4 + -1)*3.\nAnswer: -1980*sqrt(3) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.1 and 14.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-14 + 410)\/12 - 13. Let q(t) be the third derivative of v*t**2 + 0 - 5\/6*t**4 - 1\/6*t**5 + 1\/24*t**6 + 20\/3*t**3 + 0*t. Factor q(a).\nAnswer: 5*(a - 2)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 23260 + -23249 + -1 + 6?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ltklbllflbllflkbl. Give prob of sequence lfkt.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 17894*v - 17939*v + 1125 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -4031 != -4029?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -2*w**2 + w + 3. Let t(f) = -f**2 + 2*f + 2. Let u(s) = -2*h(s) + 3*t(s). Let m be (1 - -1 - -2) + 1. Suppose k - m*k - 16 = 0. What is u(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 5  (b) 109.8  (c) 1\/19  (d) 1\/2  (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 + 6)*(7*r**3 - 4*r**3 - 2*r**3).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -33 + 42. Let q = d + -11. What is the closest to -0.2 in 0, -5, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 681 + -1803. Let a be (-1 + 4 - 4)*g. What is the highest common divisor of 11 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that 5*p**3 - 151565*p**2 + 9684800*p - 154874880 = 0.\nAnswer: 32, 30249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:57 PM and 8:33 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -966000 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -4*n + 3. Sort 0.4, 2\/21, 5, n in decreasing order.\nAnswer: 5, 0.4, 2\/21, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 820*h + 114*h**3 - 44*h**3 - 815*h + 27*h**2 - 27*h**2.\nAnswer: 70*h**3 + 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**3 + 5*u**2 + 8*u - 8. Let j be a(6). Suppose j*d = 3*t - 13, 2*t + 38 = 6*t + 5*d. Let m = -1 + t. What is the remainder when 17 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x**3 - x**3 + x**3)*(-2*x - 3*x + 6*x + (1 - 2 + 0)*(4*x + 0*x - 2*x) - 4*x + x - 9*x).\nAnswer: 13*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + 0 + (7 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*m + 9*m - 116 = 0. Let f(t) be the third derivative of t**5\/30 - t**4\/12 + t**3\/6 - t**2. Let l(s) = 2*s**2 - 2*s + 1. Give m*l(z) + 5*f(z).\nAnswer: 2*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the first derivative of 25*h**3\/3 + 7*h**2\/2 + 5*h + 2. Let i(a) = -a**2 + 19*a - 90. Let b be i(7). Is u(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -3, 9, -252, 0, -203, 3 in descending order.\nAnswer: 9, 4, 3, 0, -3, -203, -252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1228711 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -77 + 82. Solve -4*b - 14 = 2*m, -3 = -w*m + 4*b + 18 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 17708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert b2133 (base 16) to base 15.\nAnswer: e61b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -71*k**3 + 6*k**2 + k - 3. Is f(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1200001 > -6000009\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (27\/(-3))\/(2\/1)*1574\/787?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(190)\/(-2*sqrt(10)) + -2*sqrt(95)\/sqrt(5))*-2.\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = u - 4*u + 36. Suppose 3*g - 4*g - 2*n + 26 = 0, -3*n = 5*g - 130. Let i = 37 - g. What is the lowest common multiple of i and u?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 10 - 1. Let r(b) = -20*b**2 + 10*b - 11. Let u be r(1). Let y = u + 21. Solve 0 = -5*q + 2*g - i, 4*q = -y*q - 3*g - 21 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*u**3 + 5*u**3 + 0*u**3)*(34 - 1419*u + 78 - 112 - 4253*u).\nAnswer: -11344*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-5)\/((-20)\/(-8)) - -4. Let c(k) = 3*k**2 + 0*k**2 + 0*k**2 - k**x. Let v(b) = -49*b. Give v(c(t)).\nAnswer: -98*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 16) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (205\/10 - 16)*4\/(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -5*a. Let q be (188\/6)\/(3*(-10)\/(-495)). Suppose -6*c + q = 5*c. Let t(u) = 47 - u - c. Calculate x(t(g)).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 201777620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 0*i + 17 = d, 0 = -2*d + 4*i + 14. Let s(x) = x - 3. Give s(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 30 + -179\/6. Let k = 0.38 - -0.12. Suppose -2*j + 5*r = r + 12, -2*j - 8 = -2*r. Which is the second biggest value?  (a) f  (b) j  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/296 and 41\/1332?\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2847*s**6 + 2*s**3*t - 175*s**3 - s**2*t + 77*t + 7915 wrt s.\nAnswer: -341640*s**3 + 12*t - 1050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -7248*w - 7508. What is h(-1)?\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 43876952 and 294?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*g**2 + 22*g + 12*g + 313*g.\nAnswer: -17*g**2 + 347*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -151690\/9 + 1089491\/72. Suppose -5*j + 5160 = 3*c, -3*c + 4*c = -4*j + 1713. Let v = c + f. What is the common denominator of -29\/10 and v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**0)**(1\/8)\/(p*p\/(p\/(p**(-1\/2)\/p*p)))**(-2)*(((p\/(p\/p**(-2\/3)))\/p*p)**(-7))**4 assuming p is positive.\nAnswer: p**(59\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = 4*b + 3*f - 16, 2*b - 5*f = -16. Suppose b*z + 54 = 5*z. Calculate the remainder when 35 is divided by z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 176284 in 0.1, 2, -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-60)\/(-45))\/((1\/(-36))\/(69\/184))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 164 or 138?\nAnswer: 138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q - 1. Determine f(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 407223 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the second derivative of 1573*t**5\/20 - 28*t**4\/3 - t**3\/2 + t**2 + 233*t - 2. Find the third derivative of f(s) wrt s.\nAnswer: 9438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -73 * -148.7.\nAnswer: 10855.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 0*b = 27. Let x = 4 - b. Let t(u) be the first derivative of u**3\/3 + 5*u**2\/2 + 2*u - 2. Calculate t(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56*g - 2972 = 556 for g.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2 + 10. Let q = l + 70. What are the prime factors of q?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-459)\/(-51))\/(((-3)\/5)\/((-27)\/105))?\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.439942 grams to nanograms.\nAnswer: 439942000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is c8 - 11d?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-676)\/96 - (21\/(588\/(-700)) - -18).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 172 - 171.453. Let h = -0.073 - t. What is h rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 3, -4999.4 in ascending order.\nAnswer: -4999.4, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 478881134 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.67268317 - -0.2726829. Let p = -13.3 - -13.7. Let k = p + g. Round k to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -129 + 142. Is o < 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from yyoyyyyyoy?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1829.2 - 1827.2. Let m = -0.1 - -0.1. Which is the closest to 0?  (a) j  (b) -1.1  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1 - (2 + -2))\/(10 - 7). What is the closest to i in -5, -2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t + 1. Let l(h) = -3*h + 12. Let u(q) = 3*q - 11. Let m(r) = 6*l(r) + 7*u(r). Let k(x) = -2*x - 9. Let i be k(-5). Give i*m(a) + 4*c(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 80 a factor of 476174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 4883775097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 27475 and 525?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/4*20*(-891)\/(-270).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10110001100 (base 2) to base 10.\nAnswer: -1420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**3 + 6*p**2 + 8*p - 2. Let v = 29 - 22. Let i be h(v). Calculate the greatest common factor of 15 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ssszsssssszssssds. What is prob of picking 2 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1665631.\nAnswer: 11, 53, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4 - (0\/4 - 0). Let n = w - -3. Suppose 0 = 3*q + d - 19, 5*d + n = 3*q - q. Calculate the smallest common multiple of q and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 184532.\nAnswer: 2, 46133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l**(-1\/2)*l)*l)**(-19)\/(l**(-2\/15)*l)**(-1\/7) assuming l is positive.\nAnswer: l**(-5959\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**3 - x**2 - x - 2. Suppose 2*o + 32 + 33 = 3*u, 5*u + 5*o = 75. Suppose -g = 18*g - u. Let q(r) = r**3 + r**2 + 1. Give g*f(z) + q(z).\nAnswer: 2*z**3 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 121, 120, 117, 112, 105?\n\"Answer: -j**2 + 2*j + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 4055 + 8472 = 3*h, 5*x = 3*h + 31328. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v - v + 3*v)*(-5 + 4 + 2 - 3*v)*(-v - 2*v - 2*v).\nAnswer: 45*v**3 - 15*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -4*f - 7. Let n be l(-13). Let k be (n\/6)\/((-4)\/(-8)). What is the greatest common factor of k and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z = -3*z - 10, -2*p + 2*z - z = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -212 - 228*d**3 - 73 - 34*d**3 - 27. Let y(r) = 260*r**3 + 314. Let l(s) = -5*a(s) - 6*y(s). Find the first derivative of l(u) wrt u.\nAnswer: -750*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 16*k**2 + 6*k - 7. Suppose 5 + 4 = -3*c - 4*s, 5*s + 20 = 5*c. Let u be j(c). Differentiate -393*a - u*a**2 - 4 + 0 + 393*a wrt a.\nAnswer: -30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3987 or 3990?\nAnswer: 3987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the first derivative of -y**4\/4 + 8*y**3\/3 + 8*y**2 + 11*y - 8. Let a be r(11). Let h = 254 + a. Calculate the lowest common multiple of 4 and h.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -183c6 (base 14) in base 3?\nAnswer: -10002212002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -338 * -0.5.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 2*k. Let l(t) = -5*t - 2. Let x(a) = 11*a + 5. Let u(p) = -5*l(p) - 2*x(p). Give u(q(g)).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 27 = -5*x. Calculate the remainder when 35 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 16*v + 902. Determine b(-39).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/((-7)\/(-2)))\/(81\/(-189)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -76 - (-48 - (-611)\/(-94))\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -8*o**2 - 11*o - 10. Let s be u(-1). Let x be s\/((-35)\/(-10)) - 3*3. Which is the second biggest value?  (a) x  (b) 0.1  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9750 and 468.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.7517 + -0.833. Round a to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**2 - 6*c - 1. Let f(k) = -k. Let q(d) = -4*f(d) - g(d). Let z be q(7). Let w = -16 + 49. Calculate the greatest common factor of z and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 43 - 18. Suppose 5*p - 4*m - 60 = 0, 4*p - d = -m + 2. Calculate the remainder when 3\/(6\/p) - -78 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 596.8966 nanometers in millimeters?\nAnswer: 0.0005968966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 125 + (-35 - (31 + -42 + -3))\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4537 - -4433 - (1 - -21 - (13 + -13)).\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**3 - 8*f**2 + f - 5. Suppose -5*x + 28 = -w - 16, -x + 24 = -4*w. Let a be u(x). Let 5*y**2 - y**2 + 5*y + 1 - a*y**2 + 3*y**2 = 0. Calculate y.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -179958, -179957, -179956?\n\"Answer: w - 179959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -223775*x**3 + 2*x**2 - 36782*x wrt x.\nAnswer: -1342650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-99)\/(-22) - (-129)\/(-30)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**(-7)*v)**(7\/5)*(v\/(v\/(v\/(v**(17\/6)\/v*v))))\/(((v\/(v*v*v\/(v*v**(-6\/11)))*v*v)\/v)\/v*v) assuming v is positive.\nAnswer: v**(-547\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -p + 4. Let v(r) be the third derivative of r**4\/8 - 3*r**3\/2 + 17*r**2. Calculate 9*f(c) + 4*v(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1743764 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 434 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1395, -1393, -1391, -1389, -1387, -1385?\nAnswer: -1383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -12  (b) 1  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:25 AM and 11:34 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 24*o**2 - 14*o + 11. Is t(15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1536)*2 + sqrt(1536))\/(sqrt(588) + (sqrt(588) - (sqrt(588) - sqrt(588)*2 - sqrt(588) - sqrt(588)) - sqrt(588))))**2.\nAnswer: 72\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -2*g + 0 + 3*g + 4 - 3. Let t(p) = 8*p + 9. Let o(w) = 2*t(w) - 6*z(w). Let l(d) = -4*d - 5. Give 12*l(i) + 5*o(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((g**(1\/4)*g)\/(((g*g**(-5))\/g)\/g))\/(g**0\/(g**(-5\/2)*g)))**(-10))**(-12) assuming g is positive.\nAnswer: g**690","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2 + -6 + 3*3. Solve c*s + 9 + 1 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -3\/51892 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3*2*(-4)\/(-8). Suppose m*g = g + 10. Suppose 2*v + 0*v = g*f + 48, 0 = -2*f - 4. Calculate the greatest common factor of v and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -32.06 and -493922.\nAnswer: -493954.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12241735.\nAnswer: 5, 11, 73, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t - 5. Suppose -9 + 30 = 3*l. Suppose -3*j - 41 = -4*c, -5*c = -3*c + 3*j - l. Let u be f(c). Solve r = u*r + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1677 and 1935?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 a when two letters picked without replacement from {n: 7, y: 2, a: 1}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -2*d + 403. Let t(c) = -3*c. What is a(t(v))?\nAnswer: 6*v + 403","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -71\/557571 and -111\/280.\nAnswer: 22302840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 61035674407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -129a - -1?\nAnswer: -1299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that 3*j**3 + 9*j**2 - 54*j = 0.\nAnswer: -6, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3 - (-12)\/4) + -1. Let k be d + 1 + 4 - 1. Find the second derivative of u**3 - 4*u**3 - 7*u + 5*u**k - 3*u**3 wrt u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 83752 and 30798?\nAnswer: 44472312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-24)\/(-156) - 1712\/(-26). Suppose 2*g + 0*p = -4*p + i, 2*g - 3*p - 38 = 0. Let s be ((-29)\/87)\/((-2)\/144). Which is smaller: g or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 62 and 961?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uoou when four letters picked without replacement from uouou.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*j**4 + 215*j**3 - 680*j**2 + 460*j = 0. What is j?\nAnswer: -46, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*d - 926 - 115*d**2 - 27*d**2 + 928 in the form i*d**2 + h + v*d and give i.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 37 = 2*w - 37, -2 = 2*w. Solve 0 = 9*s - g*s + 30 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000003251 to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 5 (base 14) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 2 + 1)*(-2120*j**2 + 24825*j + 9117*j**2 - 24828*j) to m + n*j + g*j**2 and give g.\nAnswer: -13994","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -149047 - -18168. Let j be ((-2)\/4 - -1)*-171758. Let z = v - j. What is z rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 0 + c**2 - 3 + 4 - 7*c. Let n = 2 - 7. Let f(l) = l**2 + 4*l + 1. Let o be f(n). Determine a(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 22254 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*m + 3*m**2 - 2*m**2 + 2*m + 22*m**4 + 2*m**3 - 24*m**4 as g*m**2 + t + z*m**4 + l*m**3 + w*m and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**26*f*(f**(15\/4)*f)\/f)**34 assuming f is positive.\nAnswer: f**(2091\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is c - -23?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 2*n**2 - 55*n + 377. Let s be t(14). Put s, 3, 23, -5, -19 in decreasing order.\nAnswer: 23, 3, s, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 114 and 589?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*s**2 + 2*s - 2*s)*(11*s + 24*s + 4*s)*(-1 + 2 - 2).\nAnswer: -156*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = 37*z - 48*z. Let c be 2 + -1 + 1 + -6. Put z, 5, 7, c in descending order.\nAnswer: 7, 5, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -61 - -80. What is the third derivative of 143*x**3 - 3*x**5 + s*x**5 - 143*x**3 + 11*x**2 wrt x?\nAnswer: 960*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -128*b**3 - 808*b - 51. Let n(s) = 33*s**3 + 202*s + 13. Give 8*d(l) + 31*n(l).\nAnswer: -l**3 - 202*l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 689*d + 342*d + 477*d + 101036 = 0 for d.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 757904.8 millimeters?\nAnswer: 0.7579048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -2*v**2 + 50*v - 200. Let o(x) be the second derivative of -x**4\/6 + 8*x**3 - 100*x**2 - 39*x. Let w(l) = -4*h(l) + 5*o(l). Factor w(f).\nAnswer: -2*(f - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1 + (16\/4)\/(-8))*0. Suppose -5*b = -2*p - d*b + 31, 3*p - 38 = -b. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + 1 + 5 - 4 - 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 376126 is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*a = 55 + 29. Solve -w - 2*w = a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 * 291441.\nAnswer: -29144.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*j**5 - 16*j**4 + 16*j**4 + (-12*j + 12*j - 7*j**5)*(-18 - 17 + 47).\nAnswer: -90*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the first derivative of 1395*l**4\/2 + 3125*l - 3231. Find the first derivative of m(h) wrt h.\nAnswer: 8370*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*i**4 - i**3 + i**3 + (-5*i**2 + 0*i**2 + 3*i**2)*(4*i**2 - 3*i**2 + 2*i**2) + 48*i**3 - 321*i**4 - 48*i**3.\nAnswer: -329*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3132 - -1322?\nAnswer: 11120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 113192041.2 rounded to the nearest one million?\nAnswer: 113000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1701 or -1350?\nAnswer: -1350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 171*g - 9697. What is t(52)?\nAnswer: -805","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 616246 is divided by 616192.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x - 3*u = -5*x + 8, -4*x - 20 = 4*u for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 4*b + 8 = -0*y, y + 10 = 5*b. Let x = 754\/15 - 148508\/2955. Which is bigger: x or y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, -1.52, 2\/7 in decreasing order.\nAnswer: 2\/7, 0.2, -1.52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*x - 28*x = 4. Solve 3*j = 2*j - x for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*x + 13 + 35. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 - 1. Let k(g) = g**3 - 6*g**2 + 6*g - 1. Let m be k(5). Suppose v + m = -y*v. Which is the closest to v?  (a) 2  (b) 2\/9  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 87*j - 52*j + 162*j - 11229 for j.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aviiaaiaii. Give prob of sequence iv.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x**3 + 12*x**2 + 31*x - 36. Let t be (-7)\/((-13)\/(-234)*-9). Determine o(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2.1 + 1.9. Is -2\/5 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - 22) + (12 - -2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(36)\/sqrt(2))\/(sqrt(81) - (sqrt(81) + sqrt(81)*1 + sqrt(81))).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -12248.010055 - -12264.01. Let s = z + -16. Round s to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 17839064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3526 and 731.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -70, -2\/5, 1\/5 in increasing order.\nAnswer: -70, -2\/5, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9243 = 4*b + 2*a - 11857, -b - 3*a = -5260. What are the prime factors of b?\nAnswer: 2, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -10369, 2.\nAnswer: -10369, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*a**5 + 2*a**5 + 0*a**5 + (-23*a + 3*a - 2*a)*(a**4 + a**3 - a**3).\nAnswer: -24*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3354*b = 2*u - 3351*b - 468, 0 = -3*u + 3*b + 732. What is the greatest common factor of 2340 and u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 4, 0, 2, 16, 48?\n\"Answer: x**3 - 3*x**2 - 2*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = -5*r + 52, -2*u - 5*r + 0*r + 26 = 0. Suppose 4*p - 24 = p. What is the remainder when u is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 208 + -123. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen eighths of a meter in millimeters?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*s + 11*s - 39 = 20*s - 6*k, -5*s + 5*k - 45 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**2 - k - 7. Let u(s) = -8*s**2 + 8*s + 10. Let g be u(-1). Give l(g).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u - 10. Give s(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11601.\nAnswer: 3, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53*r - 4*r - 8*r - 5*r - 25*r.\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 4*d = -6*d - 12, 0 = -2*d + 8. Let k = 1 - 1. Suppose -u*b = -k*b - 268. What is the remainder when b is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 32*k**2 + 19 + 31*k**2 - 21*k - 78*k**2 + 16*k**2. Calculate c(19).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 86 divide 35547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 4936*u + 32918. Calculate q(-7).\nAnswer: -1634","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the second derivative of p**4\/4 - p**3\/3 + p**2\/2 + 7*p. Let j be g(1). Find the second derivative of 26*q - 20*q + j + 9*q**5 - 2 wrt q.\nAnswer: 180*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 38987219 from 0.2.\nAnswer: -38987218.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 169\/442*222\/(-481)\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -n**2 + 14*n + 24. What are the prime factors of r(9)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j - 1. Let b(f) = -f - 2. Let s(k) = b(k) + t(k). Let m be (-2)\/7 + 19\/(-7). Let q be s(m). Solve 0 = 5*i + 2*v + 17, -5*v + 7 = 2*i - q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 57191485 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -2378*v + 397*v**4 + 2378*v + (-2*v - v**2 + 2*v)*(7*v**2 - v**2 - 4*v**2) as n*v**4 + c*v**3 + h*v**2 + r + g*v and give n.\nAnswer: 395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 0*n = -2. Let j = 115 - 112. Suppose 2*w = -j*p - 12, 4*w + p + 1 = -3. Solve -n*r - r + 12 = w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -a + 3*s + 36, 4*a - 560*s + 564*s - 96 = 0. Solve 6 = 11*h - a for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:36 AM and 11:49 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -p + 2*k + 8, -3*p + 10 = -2*k. Let t = p + 2. Solve 4*z + t = 6*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnaaeaekreankanaae. Give prob of picking 1 r and 2 k.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 773 a factor of 3690302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 1999 + 153 = 4*d, 0 = 3*d + 5*k - 1640. Let g(z) = -2*z**3 - 31*z**2 + 57*z + 114. What is the lowest common multiple of d and g(-17)?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*u + 26*u + 201 = 4*t, -t + u + 54 = 0. Let x(h) = h**3 - 42*h**2 + 46*h + 74. Is x(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 2*y**2. Let u = 46 - 46. Suppose -2*f - 6 = -3*q, -4*q + 2*f + 2*f + 8 = 0. Let c(w) = 0*w**2 - w**2 + u*w**q. Determine k(c(b)).\nAnswer: 2*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.022*-8.7989.\nAnswer: 0.1935758","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-1)\/2)\/(1\/2). Let j be (g\/2)\/(2 - 4). Which is the second smallest value?  (a) -1  (b) j  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1866 (base 9) to base 3.\nAnswer: -1222020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 149 - -2147. List the prime factors of a.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 89 in 1.04, -0.4, -1?\nAnswer: 1.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -14*b**2\/5 + 148*b\/5 + 66\/5.\nAnswer: -2*(b - 11)*(7*b + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 113\/162974 and 53\/16.\nAnswer: 1303792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -9\/8, 5, -0.132, 26\/3 in descending order.\nAnswer: 26\/3, 5, 3, -0.132, -9\/8","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Does 93 divide 50614751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 - -5. Let k(t) = 3*t**3 - 18*t**2 + 10*t - 2. Is k(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -4*s - 1. Let r(l) = -3*l - 1. Let j(q) = -2*n(q) + 3*r(q). Let b(g) = -g**2 + 7*g - 15. Let k(v) = b(v) - 6*j(v). Does 9 divide k(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 65\/3 and -6*(-7)\/154*(-34)\/20.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the first derivative of 27*f**5\/5 + 2*f**3\/3 + 11*f**2 + 5*f - 130. Find the second derivative of z(k) wrt k.\nAnswer: 324*k**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 3*k**2 + 152*k - 2695. List the prime factors of y(86).\nAnswer: 3, 5, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -2*a + 6. Let r be o(-7). Solve -l + r = -6*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12731740 a multiple of 431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-6)\/(-4))\/(51\/(-68)))\/(-6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 715848699.\nAnswer: 3, 17, 14036249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -6*b**2 + 2193*b - 3134. Let h(n) = -n**2 + 9*n - 1. Let j(x) = -4*h(x) + m(x). What is the first derivative of j(c) wrt c?\nAnswer: -4*c + 2157","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/11  (b) 0.030801  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 49\/5 of a meter?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5886.44nm in millimeters?\nAnswer: 0.00588644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9.02 - 0.02. Let h = 6.1 - -2.7. Let r = h - d. Which is the third biggest value?  (a) 0.3  (b) 5  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -16323?\nAnswer: -1\/5441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -o**3 - 2*o**2*y - 55*o*y - 10*o + 4 wrt o?\nAnswer: -6*o - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -81\/128 and -31\/10.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -243*l**3 - 1782*l**2 - 4356*l - 10648\/3 = 0. What is l?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 307073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -306413*a**4*y**2 + 3*a**2*y**2 - 13892*a**2*y wrt a?\nAnswer: -7353912*a*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -2*y + 1. Suppose 5 = -3*i - 4. Let u be v(i). Solve -4*b = 4*p, u*b - 4*b - 16 = p for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 97 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, -1, 55041, 3 in descending order.\nAnswer: 55041, 13, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -463 - -3492. Suppose -43*p + 30*p + g = 0. List the prime factors of p.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 12258, 12261, 12264, 12267, 12270, 12273?\n\"Answer: 3*y + 12255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -81804 + 147455. List the prime factors of i.\nAnswer: 65651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(2\/21)\/((z**(-1\/3)\/z)\/z))\/((z\/(z**(-1\/7)\/z))\/(z\/z**(-19))) assuming z is positive.\nAnswer: z**(142\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 1017 = 3*a, -2*p - 44*a = -43*a - 1999. Calculate the least common multiple of p and 132.\nAnswer: 10956","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b**3 + 4*b**2 + 6*b - 6. Let o be z(5). Calculate the least common multiple of 5 and ((-2)\/(-1))\/(o\/(-3)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1 - ((1 - 3)\/(-1) + -11). Let s be 0 + 17 - (0 + 1). Let o = s - l. Is 2 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -897*r**2 + 104990*r - 4792. What is l(117)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (12 - (0 + 6) - 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16749 divided by -1.\nAnswer: -16749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11 - 66 + 17)*(-3 + 3 + p**4).\nAnswer: -60*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-2*sqrt(208) + sqrt(52))\/(sqrt(16)\/sqrt(4)*-4) + ((sqrt(1872) - (sqrt(1872) + 0)**2) + 2 - sqrt(1872) - (1*sqrt(130))\/sqrt(10)*5).\nAnswer: -1870 - 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 55839120 to the nearest integer?\nAnswer: 7473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 30846 and 101850.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3120 by 12.\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -3*q + 10. Suppose -2*l - 1 = -q. Let w be (-69)\/15 + l\/(-5). Is w at most -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -201279689\/14190750 + 25163\/1802. Let a = 19131877\/875 + -21865. Let c = w - a. What is the third biggest value in c, 3\/2, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*g - 10*a + 5*a - 8, -2*g - 4 = 4*a for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -568247, -1136500, -1704755, -2273012, -2841271, -3409532?\nAnswer: -3977795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the first derivative of -o**4\/2 + o**3 - 7. What is the third derivative of c(p) wrt p?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 66891560 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -220333 + 3?\nAnswer: -220330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -z - 2*x + 12, 2*z + 1 = 3*x. Suppose z*v + v + 6 = -i, -2*i = -4*v - 58. Suppose -17*u + i*u = -10. Let r(h) = h**3 + 5*h**2 - 6. Calculate r(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00009391956 rounded to six decimal places?\nAnswer: -0.000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9760 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.457 rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -26*p + 26*p - 31*p**2 to q + a*p**2 + f*p and give a.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7 - 3. Let k be (26 + o)\/((-3)\/(-4)). Let m be k\/(-21) + 0 - -2. Is m at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6 in -1\/3, 191, 0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 3 from -1118734579.\nAnswer: -1118734582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = 37 + 63. Calculate the greatest common factor of 20 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 2\/9, -1.02, 0.47?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 98266441 - 98266433.0000066. Let n = 8 - j. Round n to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -5 and -13303.593?\nAnswer: 13298.593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -2 - (-42 + 40).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.3, -5\/4, 0.29, 2.48303, -1\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 71.83 * -0.2.\nAnswer: -14.366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -9\/29624929 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5.27 + -1.27. What is the fourth biggest value in -2\/7, 3\/2, x, 9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -110*p**2 + 22*p. Let i(j) = -28*j**2 + 6*j. Let y(a) = 3*c(a) - 11*i(a). Let l(z) = -z. Give l(y(v)).\nAnswer: 22*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2275976283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 + (-2 - 9))\/((-6)\/(-4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 7*x - 28. Determine t(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 162 + -66. Let l be (31 - 2)\/(4\/8). Suppose 2 = 5*y - l. What is the greatest common factor of y and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3524773\/187 or 0?\nAnswer: 3524773\/187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 7 - 7*a + 3*a + 3*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-459 - -462) + (0 - 0) + -3 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -23*n**2 - n. Let y(j) = 131*j. Determine c(y(z)).\nAnswer: -394703*z**2 - 131*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4056 and 17160.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -29 + 34. Suppose 4*q = 3*g - 15, 2*q + 19*g = 18*g + h. Solve q = -7*f + 5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 23*o - 38. Let l be q(4). Suppose x - 185 = -3*w, w - 3*x + 9 = l. Calculate the smallest common multiple of w and 8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1331 + 7541. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (n**2 - 3*n**2 + n**2)*(2*n - n - 3*n - 2)*(506 - 556 - 1124) to the form q*n + g + p*n**3 + i*n**2 and give p.\nAnswer: -2348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 0 + 7*w**2 - 15*w - 6 - 6*w**2 - 8. Let b be r(16). What is the third biggest value in b, -1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1\/3)\/(8\/48). Suppose -16 = -i + 4*y, i - 24 = -z*i + 4*y. Is 4 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 508 minutes before 12:46 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*i = 40*i - 19*i + 4*z - 42, -4*i - 847 = -79*z - 53 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b**3 + 9*b**2 - 5*b + 11. List the prime factors of d(8).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.863 plus 5?\nAnswer: 3.137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0 and -18479654834563.\nAnswer: -18479654834563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -3, 2 in descending order.\nAnswer: 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1292\/(-38))\/(-17)*-2*1\/(-10).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d**3 - 9*d**2 + 6*d + 7. Suppose -2*b - 4 + 6 = 0. Let y = 17 - b. Calculate the remainder when a(-10) is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5 - 3. Let w = -7 - -2. Let x = m + w. Let n(f) = -f. What is n(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/2, -7, 4, -0.04?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 13 + 6 = -3*a, 2*m + 2*a = -8. Suppose -5*r + 5 + 5 = 0. Is 5 a factor of (-5)\/r*(-2)\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -65\/2 and (76908\/5504 - -2) + -16.\nAnswer: 1376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -149.8 or 145?\nAnswer: -149.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 340 - 375 = -5*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11312?\nAnswer: 2, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 3*a = -y + 24, -a = -3*y + 98. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**2 - 2304*y + 422786.\nAnswer: -2*(y - 161)*(y + 1313)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5 - 2. Suppose 0 = 2*j - 6, -x*j + 0*j = 2*i - 13. What is the derivative of -2 - 3*d**i + 0*d**2 + 4*d**2 wrt d?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -174049 divided by -378.\nAnswer: 174049\/378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 223?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 9193 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -6 - a99?\nAnswer: -aa0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-3)\/(g*g**0))**26*(g\/((g\/g**5)\/g))\/g**(1\/6)*(g**(-4\/5)\/g)\/(g**(-5)*g) assuming g is positive.\nAnswer: g**(-2879\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -9*w**3 + w + 1. Let h be y(-1). Solve j = -2*j - h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 95155 (base 10) to base 5\nAnswer: 11021110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 39750484351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the first derivative of s**4\/22 - s**2\/11 - 1. Factor z(h).\nAnswer: 2*h*(h - 1)*(h + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 8 + -1 + 3 + 403 + -92 + -247.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-14)\/7 - (1\/(-4) + (-207)\/132). Put 1\/8, -2\/21, a, 0, -11 in increasing order.\nAnswer: -11, a, -2\/21, 0, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5  (b) -0.5  (c) -2  (d) 2  (e) 95\/4  (f) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 2 j when four letters picked without replacement from {u: 9, j: 7}?\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -56, -75, -104, -137, -168?\n\"Answer: f**3 - 11*f**2 + 7*f - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -27*l + 193. Let b be m(7). Solve -5*q = 4*p + 7, -b*q - 3*p - 2 = 2*p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 2*t**3 - 4. Let j(d) = -3*d**3 + 5. Suppose -3*z = -8*z - 20. What is z*j(q) - 5*c(q)?\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 443499 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.2  (b) -575  (c) 15  (d) 118\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 29, 2762, -2 in descending order.\nAnswer: 2762, 29, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q = 10*q. Suppose 0*d - d + 4 = q. Suppose d*l - 189 = 159. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -22 by -43580.\nAnswer: 11\/21790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 4130524 divided by -556?\nAnswer: -7429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the third derivative of -u**5\/300 - u**4\/30 - u**3\/10 - 9*u**2 + u. Let m(q) = 0. Calculate q.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -30*p**2 + 1296*p + 68. Give s(43).\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = s - 433 + 52, -2*s = b - 753. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2706 - -2730. Solve -5*d = 3*b + 32, -5*d - l = b - 0*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 2*a + 3510 = 0. Suppose -25*v - a = -30*v. Suppose 11*g - 8*g - v = 0. List the prime factors of g.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 86 and 67596?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(91) - 1*sqrt(91)*-1) + sqrt(91) + (sqrt(91) - -1*sqrt(91)*2))\/((sqrt(112) + (sqrt(112) - -2*sqrt(112)))*4).\nAnswer: 3*sqrt(13)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 46*i**2 - 1105*i + 573*i + 530*i.\nAnswer: 46*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 976 plus -27?\nAnswer: 949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 180*d - 435*d - 386*d - 46793 = 0 for d.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 - -6. Suppose -4*t + g - 7 = 0, 2*g + g + 21 = -2*t. Let y = o - t. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -4*z**2 - 7*z - 6. Let n(p) = p**2 + p + 1. Let v(d) = 10*n(d) + 2*y(d). Let x(h) = h**3 + h**2 - 5*h - 3. Let m(w) = 3*v(w) - 2*x(w). Factor m(s).\nAnswer: -2*s*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 6 - 1 + 19*h.\nAnswer: 19*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes before 2:09 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 693677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20063804.\nAnswer: 2, 89, 56359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*b**2 - 2*b**3 + 7 + 5*b**2 + 0*b**3 to j*b + z*b**2 + m*b**3 + g and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1043989931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-473)\/(-43))\/((-6)\/((-1)\/(-1))).\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 14 and 1376.\nAnswer: 9632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**3 - 13*d**2 - 32*d + 25. Determine q(15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -4*p + 23. Let o(c) = 2*c - c - 2*c. Let g(l) = -4*l + 1. Calculate p*o(j) - 2*g(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 3660038413?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 94 and 6?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 127.6 - -28.4. Let u = w + -110. Let y = u - 46.0000092. What is y rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 318.2 to 0 decimal places.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 22 or 8?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + -2*sqrt(1053) + sqrt(1053) - sqrt(1053)) + sqrt(1053) + sqrt(1053))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v**2 - 14*v - 13. Let z be b(15). Suppose 285 = 5*c + 5*o, z*c + 5*o = 5*c - 131. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4.3 - 3.7. Which is the closest to -0.1?  (a) -1\/9  (b) -3\/2  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1001*a = -2040*a + 967*a - 3384 for a.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:39 PM and 1:21 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1856.9 rounded to the nearest one hundred?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 62*g**2 - 307*g**2 + 59*g**2 + 59*g**2 + 66*g**2 + 59*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (88\/6 + 0)*195\/10.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -141*b = -47540 + 112531 - 52019 for b.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/27, -3\/5, 3, -4, -0.9, 2 in descending order.\nAnswer: 3, 2, -1\/27, -3\/5, -0.9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*o**4 - 584*o**3 + 53843*o**2.\nAnswer: 48*o - 3504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 53704 and 30296?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhee when four letters picked without replacement from hheeeeeeeeehehehhe.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -106 - -572. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -7\/432 and 1\/4032.\nAnswer: 12096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33*i**3 - 35*i**3 + 99*i**3 + i - 35*i**3 - i.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 15743\/1086 + 2\/543. What is the common denominator of b and -55\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -5, 2557, -2, -3 in decreasing order.\nAnswer: 2557, -2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 550 divided by -256459\nAnswer: -550\/256459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 30 + 85 - (1 - 2). Let f = b - 114. Suppose 3*y - 629 = -5*u, -3*u + 109 = -f*u - 5*y. Does 7 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v**3 - 2*v**2 - v - 1. Let l(g) = 3*g + 1. Let u be l(-1). What is the units digit of i(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aaax when four letters picked without replacement from axaa?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 17 + -10. Let x(v) = 11*v**3 - 79*v**2 + 35*v - 132. Let z be x(7). Solve 0 = 5*y + 5*w, 5*w - f*w - z = -y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1000 (base 3) to base 13.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**2 + 22215*h\/2 - 2777.\nAnswer: (h + 5554)*(4*h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 145023 is divided by 1541?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*v - 16 = 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1959 + 2032. Calculate the remainder when 655 is divided by a.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**2 - 8*z + 15. Let d be y(8). Calculate the highest common divisor of d and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 447 divide 805429938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-317)\/(-10) - (-3084)\/10280?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1588 + 1550 + (15 - (-3 + 4)) + -3?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (796\/(-1194))\/(1 + 1 - (-164)\/(-81)). Solve -41*o + b + 14 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -33*b**3 + b**2 - 1. Determine i(-1).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 75163?\nAnswer: 11, 6833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-10)*595\/34?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 2765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -949 - -187. Let r = j - -51. Let m = 2689 - r. What is m rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -20 + 11*b**2 + 20. Let v(g) = -2*g**2 - 3*g**2 + g**2 - g**2. Let c(j) = 4*a(j) + 9*v(j). Let u(m) = -2*m. Determine u(c(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 80*a**2 + 2*a. Let t(n) = -11994*n + 0*n**2 + 6012*n + 2*n**2 + 5982*n. What is t(k(q))?\nAnswer: 12800*q**4 + 640*q**3 + 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1868.\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 224574523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -4*d**3 + 2*d**2 + 3*d**3 + 2*d**3 + 6*d - 3*d**3 + 5. Let y(g) = -g**2 - 2*g - 1. Let l be y(-3). Is f(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k + 2*v - 10 - 10, -22 = -3*k + v. Let r be ((-46)\/k)\/(4\/(-16)). Suppose 0*h + h - r = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 0*j = 8, -w + 4*j + 459 = 0. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gpqqhqhyq. What is prob of picking 1 q and 1 y?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 82 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -5*u. Suppose -3*v + 6*v = 342. Let t(l) = 3*l - v + 114. Calculate t(i(h)).\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7089?\nAnswer: 3, 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2366599 is divided by 788861?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-6)*(145\/(-116))\/((-45)\/108).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -24676.58795 to the nearest integer.\nAnswer: -24677","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 3 f when four letters picked without replacement from {f: 6, m: 6}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*3\/6*93\/(465\/2)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*h = -2*h + 81, 3*k - 12*h = -7*h + 48 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*b + 6391948 = -191*b + 6414848 for b.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes after 7:55 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -56538, -53247, -49958, -46671, -43386, -40103, -36822?\n\"Answer: -p**2 + 3294*p - 59831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - o - 4*o - 3 = 0, s = -2*o + 1. Let u = 2.9 + -3. Is u <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -172 and 15?\nAnswer: -2580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8624)\/2562 - (-20)\/6.\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13281 - 37599 = -70*q - 313*q - 465*q for q.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75 = 3*d + 21. Let q = -107 + 119. Calculate the greatest common factor of q and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9787209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((2*sqrt(180) + sqrt(180) + sqrt(180) - sqrt(180))\/sqrt(4))\/((sqrt(9) + sqrt(27)\/sqrt(3))*6)*-6.\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8.06 - -109.14. Round u to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 135*n - 96*n - 79*n.\nAnswer: -40*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 98700563?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d and 1 k when three letters picked without replacement from jkddd?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + ((0 + sqrt(833) - sqrt(833)) + 1 - (sqrt(833) - (-2*sqrt(833) + 3))) + 3 + (-4 + sqrt(833) + -2*sqrt(833))*3)**2.\nAnswer: 504*sqrt(17) + 30024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f**3 - 11*f**2 + 14*f + 29. Give j(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 13*x**2 - 58*x + 27. What are the prime factors of p(12)?\nAnswer: 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/7, 3, 4, -2493, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 16589 at least as big as 16588?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2, 6\/31, -8, -0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/48*20)\/((-2)\/2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1323 - 22?\nAnswer: -1345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = 5*c + 4*j, -36*c + 2*c + 4*j - 14 = -32*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2098014 divided by 3.\nAnswer: 699338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 8357125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2917101 divided by -972367.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 30 in 3, -1, -381\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10 + 110101001?\nAnswer: 110101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 272 and 51748.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -73735 + 126872. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*v - v - 7*v)*(2 - 3 - 1) + 48*v - 52*v + 76*v in the form q*v + i and give q.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 65468.84ml to litres.\nAnswer: 65.46884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1326727.\nAnswer: 1326727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2 + -11. Suppose -10*d = 658*o - 656*o + 52, -d + 130 = -5*o. Is b less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 110585253 by 36861751.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -22675 divided by 2\nAnswer: -22675\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) be the second derivative of -j**3\/6 - j**2 - 45*j. Let k(p) = -p - 1. Determine -4*k(o) + q(o).\nAnswer: 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -91356, -91431, -91506, -91581?\n\"Answer: -75*d - 91281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -17 + 30. Let h be 2 - (1 - v)\/3. Suppose -h = -3*k, 3*r - 4*k - 40 = -r. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 279490, 4 in decreasing order.\nAnswer: 279490, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -2*p**3 - 137*p**2 + 212*p + 141. Let g be j(-70). Which is greater: g or -25\/438?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 19248?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 29328585 divided by -1331\nAnswer: -22035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 40196 + -16303. What is the thousands digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 78273953?\nAnswer: 78273953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-105)\/175 - ((-204)\/90 + 2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.029 * 37.\nAnswer: 1.073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*(b*((b**15*b*b)\/b)\/b)\/b)\/((b**(-2\/69)*b)\/b) assuming b is positive.\nAnswer: b**(1106\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -8*w + 2. Let z(i) = -3*i - 2 + 4*i + 6*i. Determine 5*a(c) + 6*z(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 9, -7, 3\/7, -168, 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-8)\/6)\/(15\/27 - 1). Let d(u) = u**2 - u + 68. Let l be d(0). Suppose -5*k = -q*k - l. Calculate the remainder when 66 is divided by k.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 6*b**2 + 3*b + 3. Let k be a(-3). Suppose -d + k = 3*d. What is the highest common factor of d and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 296, 0.4, 190?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -137*d - 87. Calculate the remainder when x(-2) is divided by 48.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -173418, -346692, -519974, -693264, -866562, -1039868?\nAnswer: -1213182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the first derivative of -s**5\/40 - 4*s**3\/3 + 3. Let r(c) be the third derivative of n(c). Let b(p) = 2*p - 2*p - 2*p**2. Calculate r(b(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65 = 4*x + 2*y - 7, -5*y = 2*x - 52. Which is greater: 15 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*t + 10*t + 45*t = t. Which is the third biggest value?  (a) -1  (b) t  (c) -9  (d) 3  (e) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -282, -544, -782, -966, -1066, -1052, -894, -562?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*y + 60 = -5*y. Let b(p) = 13*p - 6. Calculate the remainder when b(y) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 230 a factor of 68651090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1137736 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k**3 + 7*k**2 - 6. Let c = -299 + 293. What is t(c)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*(v\/(v*(v**(1\/6)\/v*v)\/v))\/v*v\/((v*v**(-2))\/v*v)*(v**(-1))**(-17))**(-12\/17) assuming v is positive.\nAnswer: v**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 - -31011021?\nAnswer: 31011031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2021 + 4*r**3 + 2021.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3\/2, 2, 2.9, -1\/6, -1\/3, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 10273, 0.2, 0.486?\nAnswer: 0.486","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*n + 13*n + 646. Let t = 46 + n. What is the remainder when 22 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -19.98 - -20. Which is bigger: -3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**1*((y**1*y)\/y)\/y*(y**2*y*y)\/y*y*y**(-1)*(y**(2\/7)\/y)**16\/((y*y**(1\/2)\/y)\/(y\/(y**5*y))) assuming y is positive.\nAnswer: y**(-181\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 19439 + -19429.931. Let l = 1.301 + d. What is l rounded to 0 decimal places?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 90282.65 decades?\nAnswer: 902.8265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5315.\nAnswer: 5, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = 11*n - 468. Suppose g + n - 40 = 0. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5930714305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -431, -762, -995, -1130, -1167?\nAnswer: -1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2323578085?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 plus 912.042948?\nAnswer: 914.042948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 93, 309, 657, 1143, 1773?\nAnswer: 2553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 356.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 12*c**3 - 2*c**2 + 2*c - 1302 + 4*c**3 + 1302 wrt c.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:53 AM and 1:31 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 441379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 2*k**3 - 12*k**2 - 14*k - 6. Let f be b(7). Let y(o) = -57*o - 312. What is the remainder when 132 is divided by y(f)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1168190 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/4 in 0.4, -49, 90\/7, 12.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 22650125402 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = -7*z - 2*w, -394*w - 403*w = z - 792*w + 72 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 68, 1, -5, -2, -4.\nAnswer: -5, -4, -2, 1, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 6  (b) -1\/7  (c) 0.05  (d) -1  (e) 1\/116\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 0, 62, 176, 348, 584, 890, 1272, 1736?\n\"Answer: q**3 + 20*q**2 - 5*q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -2\/3  (b) -4  (c) 0  (d) 2\/13  (e) 299217  (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d + 4. Let n be u(-4). Is (2\/(-4))\/(n\/(-3056)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 159*s**3 - 7*s**2 + 10*s - 167. Is o(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 10*p - 88. Let o be q(9). Suppose -5*h + o*h + 1684 = 4*k, 1724 = 3*h - 4*k. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18 + -28 + 12 + -48.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -92071408*-3.\nAnswer: 276214224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 135 = -w - 26, -4*m - 84 = -4*w. Let l(j) = -j**2 - 24*j - 8. What is the remainder when 66 is divided by l(m)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 853 a factor of 66272982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the third derivative of 7*a**5\/60 - 4*a**2. Let s(t) = 2*t**2. Determine s(h(b)).\nAnswer: 98*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (57\/171)\/(((-2)\/3)\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + -12 + -9 + 9 + -7?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 21, 108, 341, 792, 1533, 2636?\nAnswer: 4173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 7*b. Let s be v(-1). Is -7 > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-8))\/(-12 - 1*-2*128054\/21328)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 40*x**3 + x**2 - 3*x + 4. Let c be j(2). Suppose -42 = -k - 4*u, -5*k - 112 + c = -2*u. What is the greatest common factor of k and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 89 - -aa55?\nAnswer: ab11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the second derivative of 0 + 0*j**2 - 2*j + 0*j**3 - 1\/2*j**4. Let n(a) = -a**2. Calculate y(n(t)).\nAnswer: -6*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mssmmmmmmsmmmmmsmmm. What is prob of sequence mmsm?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(180))\/(sqrt(640)*2 - sqrt(640)) - (sqrt(200)*2*-3 - ((sqrt(200) - (-2*sqrt(200) + sqrt(200))) + sqrt(200) + -4))**2.\nAnswer: -16216 + 5775*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*x - 3854 = 4782. Solve x*c + 3 = 255*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1462*w**5 + 1025*w**4 - 2*w**3 + 4*w**2 - 14424*w.\nAnswer: 87720*w**2 + 24600*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13302.333ms to minutes.\nAnswer: 0.22170555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/858475 and 9\/230?\nAnswer: 1716950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2 + 6)*(2*v - 5*v + v + (0 + 0 + 2*v)*(0 + 1 + 0) + 1 - 1 - 3*v).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - z = -16, 4 - 20 = 5*t + z. Calculate the remainder when (-36)\/(-8)*(-4)\/(-6) is divided by (t\/(-3))\/(8\/12).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-7)\/35 + 5212*(-1)\/(-10).\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -1 - 0. Let c = 13 + h. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 6 = g, 4*s - 6*g + 3*g - 2 = 0. Let w(j) = -1 + 0*j**2 + j + j**2 + s. Suppose 164*c - 28 = 396*c - 204*c. Calculate w(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*i + 1921 = -2041. Suppose 7*p - i = 1236. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ddlddddlddl. What is prob of picking 1 d and 1 l?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 257028 and 175773?\nAnswer: 15059527548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 4*h = i - 3980, -3*i - 2987 = -2*h. Let o = 1451 + i. Suppose -3*q + o = -299. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t + 25 - 10. Suppose y + 7 = -2*w - t, 0 = y. Let a(h) = -h**3 - 6*h**2 - 7*h - 7. What is the units digit of a(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 + -352230?\nAnswer: -352222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 17 = -4*y + 3, 0 = 5*a + 3*y + 5. Suppose 5 = m - a. Suppose 0 = 3*t, m*p - 5*p + 3*t - 90 = 0. Calculate the highest common divisor of 15 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -585399\/50 - -11708. Sort a, 0.1, -0.07, 0.4 in decreasing order.\nAnswer: 0.4, 0.1, a, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 687\/13 + 30\/195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -149154*q = -148567*q + 51656 for q.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/7, 2\/23, -1989?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 82970527 + -51057527. Round k to the nearest one hundred thousand.\nAnswer: 31900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 62123, 248557, 559305, 994361, 1553719, 2237373?\nAnswer: 3045317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z + 2. Let t(c) = 280*c + 2. What is 2*d(x) - t(x)?\nAnswer: -278*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(34)\/sqrt(2) + sqrt(17))*3.\nAnswer: 12 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*r**4 + 2*r**4 + 3*r**4 + (5*r**3 - 5*r**3 + 2*r**4)*(2 + 0 + 0) - r**4 + 0*r**4 + 2*r**4.\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 30 - 77.1. Let o = x + 42. Let v = -5 - o. Which is the fourth biggest value?  (a) v  (b) 1  (c) -5  (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 4*p + 21 = 4, 5*p - 5 = 0. Let j be (-35)\/c + 15\/5. Let d(x) = x**3 - 7*x**2 - 9*x + 5. Calculate d(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -715835.383 to the nearest one thousand.\nAnswer: -716000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 196661?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -133\/198 and 107\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/11, -22.4, 3, -1\/9, 0.02?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2587914307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -2, 1551\/7 in decreasing order.\nAnswer: 1551\/7, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that 0*v**3 + 4*v**3 - 18*v**2 - 2*v**3 + 36*v + v**3 - 24 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1600, 5909, 10222, 14539, 18860?\n\"Answer: 2*i**2 + 4303*i - 2705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1688478?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 243821665083 plus -4?\nAnswer: 243821665079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -36.62, -2\/5, -22?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (481 - 226 - 106)*(0 + 0 - b**3) + (18 - 27 - 12)*(-4*b**3 + 3*b**3 + 4*b**3) to x + t*b**2 + d*b**3 + f*b and give d.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -10.63 - -0.33. Let p = k + 10. Let x = 0.8 + 0.2. Which is the closest to x?  (a) 0.3  (b) p  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in z - 8*z + 3*z - 5*z - 6*z.\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 373138 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 185 minutes before 10:46 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -288299 + 131.32873.\nAnswer: -288167.67127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 122 + 4030880*l - 2015441*l - 2015442*l.\nAnswer: -3*l + 122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 2 = 5*q, 5*p - 4 - 6 = 0. Let r be -9*(5\/3 + q). Solve -12 = r*h - 0*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -438, -252, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -2*o - 28. Give c(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -169\/8568 and 83\/12128?\nAnswer: 12989088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -i**2\/4 + 13*i\/4 - 11\/2 = 0. Calculate i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -14*y - 35. Let p(o) = -16*o - 36. Determine -7*a(k) + 6*p(k).\nAnswer: 2*k + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 22 + ((-2 - 4) + 2 - -4) + -7.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (0 + (-2)\/(-4))*2. Let g = -35 + 33. Let m be (g\/(-2))\/(1\/5). Which is the closest to 1?  (a) m  (b) -0.3  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than 3\/34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00028599 rounded to 6 dps?\nAnswer: -0.000286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + (3 + -3 - (3 + 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t**3 + 8*t**2 + 7*t - 2. Let c be m(-7). Let n = c - -5. Let r(o) = o - 5. Let i be r(7). Solve 0 = 6*j - j - 10, n*j - i = 4*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1293 - 4269 = -16*j. Let k be 3\/j*(16 + -18). Let g(r) = r**2 - 5*r + 4. Let b be g(4). Which is greater: b or k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -13 and -17788.6.\nAnswer: 231251.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14, -5, -4, 58 in descending order.\nAnswer: 58, 14, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 0*b - 72 = -4*m, 2*m - 54 = 4*b. Let u be 9 + b - 1\/3 - -4. Is 248 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -33, -51, -69, -87, -105?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 119*b. Let t(d) = -2*d. What is t(h(c))?\nAnswer: -238*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 3*o - 760 = 0, 143*b - o = 145*b - 304. Let d(a) = a - 4. Let s be d(5). Suppose s - 20 = -t. What is the greatest common factor of t and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -6969 + 0.113.\nAnswer: -6968.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.560279279 rounded to 4 decimal places?\nAnswer: -0.5603","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -183354 (base 12) to base 4.\nAnswer: -1212220300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuqqdndqqnvqdq. What is prob of sequence vnq?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 6, z: 1, r: 4, k: 3}. Give prob of picking 1 z and 2 r.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-9)\/4)\/((-2)\/8). What is the highest common factor of 27 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ivv when three letters picked without replacement from ivvi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11227, -22477, -33733, -44995?\nAnswer: -56263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 532 or 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 3711, 21 in descending order.\nAnswer: 3711, 21, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 39072890 to the nearest integer?\nAnswer: 6251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*w + 436 - 456 = 0. Which is bigger: 4\/1417 or w?\nAnswer: 4\/1417","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand h + h**3 - h + (-2*h + 2*h + h)*(5 + 4 - 4)*(3*h**2 + 3*h - 3*h + (-1031 - 42*h + 1031)*(112 - 112 + 5*h)).\nAnswer: -1034*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pvpppv. Give prob of picking 2 p.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i = -3*s + 34, -2*s + 55*i + 1 = 54*i for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -11, -4\/7, -48.24, 7\/3, 3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-60 + 36 + 2*v + 30)*(47*v**2 + 7*v**2 - 8*v**2) to the form n*v + x*v**2 + k*v**3 + p and give x.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 4*t - 17. Let s be r(7). Suppose -s*z + 13*z + 226000 = 0. Round z to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -l**2. Let n(a) = 459*a. Calculate o(n(b)).\nAnswer: -210681*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y**3\/4 + 90570*y**2 + 10936870911*y\/4 - 10937595483\/2 = 0. Calculate y.\nAnswer: -60381, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -4*(-12)\/16 + 13. Let n be (-12)\/(-16)*s\/6. Suppose 4*o - 3*g - 293 = 0, -n*g + 352 = 5*o - g. What are the prime factors of o?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 9 - z - 9. Let o be 15\/(-3)*(-6)\/10. Let b(c) = o*c - 4*c + c + c. Determine b(r(u)).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*w = -8*w - 5*b - 6, 0 = -w - 6*b + 2. Let d(v) = v**2 + 2*v - 2. Let x be d(-4). What is the smallest common multiple of w and 2*(2 + x\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hzzhiihhzzhhz. What is prob of picking 1 i and 3 z?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j**3 - 2*j**2 - 2*j + 57. Let f(c) = c**2 - 3*c - 10. Let o be f(5). Suppose -4*b - 4*b + 3*b = o. List the prime factors of r(b).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7.793 - -4.793. Let a = 47 + -142\/3. What is the biggest value in -1, u, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11868 divided by 46\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/4)\/(84\/(-441)*-7)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 6 = -2*s, 8 = 3*s - g + 2*g. Let u be (-1)\/(0 + s\/(-14)). Suppose -l + u = -4*j - 22, j = -5. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + ((sqrt(63) - sqrt(315)\/(-2*sqrt(5)) - sqrt(63)) + 1*sqrt(1008))\/(-6*(sqrt(9) - sqrt(36)\/sqrt(4)*-2)))**2.\nAnswer: -3*sqrt(7)\/2 + 151\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*u - 64 + 4. Suppose 3*r + 3 = d + 2*r, 4*r = u. Calculate the remainder when -1*(2\/2 - 24) is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 2*c - 146. Let x(w) = w - 147. What is -2*h(r) + 3*x(r)?\nAnswer: -r - 149","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*x = 2*z + 20*x + 22, x = -5*z - 22 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0 - -5. Let l(m) = b + 6 + 3 + m. What is the smallest common multiple of l(-11) and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -2*q + 5*m, q + m + 2 = 8. Let z = 2 + 3. Suppose -z*j + c + 3*c = -15, -3*c = -4*j + 11. What is the smallest value in q, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, e: 6, q: 1, h: 1}. Give prob of sequence eq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x - 1. Suppose -9*n + 32 = -n. Let h(p) = -10*p - 6. Let o(i) = n*l(i) + 2*h(i). Let q(m) = 3*m + 3. Calculate -2*o(b) - 11*q(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12292986.\nAnswer: 2, 3, 659, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -2*a + 3, 4*m + 0 - 4 = 0. Suppose a*w - 24 = -w. Suppose -7*v = -w*v - 5. Sort 2, -5\/4, v in ascending order.\nAnswer: -5\/4, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/10 + 21\/((-210)\/(-76)). Is (4*32822\/t - -2)*1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**5 - 92*u**4 + 1822*u**3 + 13528*u**2 + 21217*u + 9604.\nAnswer: (u - 49)**2*(u + 1)**2*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 3*c - 2. Let z be o(-2). Let l be -6 - z - (-2)\/2. Suppose -4*a = -l*a. Solve h - 3*h - 2 = a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 652362.7617 + -652300.76169922. Let n = 139 + -77. Let r = n - s. What is r rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 579115 divided by 802.\nAnswer: 579115\/802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2 - -1121110?\nAnswer: 1121112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 119 + -49. What is the units digit of q + ((-2)\/4)\/(5\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -105 - -109.25. Let u = 1.75 - 2. Let v = d + u. Sort -1, v, 0.1 in descending order.\nAnswer: v, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*g + g - g)*(-28*g**2 + 122*g**2 - 71*g**2 - g) as k*g**2 + r + a*g + f*g**3 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-270)\/(-8) - (-1)\/4. What is the greatest common factor of 68 and x?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2322279137 to the power of 1\/4, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 6  (b) -2  (c) 40  (d) 1.16  (e) 0.2  (f) -2\/89\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -40, -0.1, -4, -15\/37 in descending order.\nAnswer: 0.1, -0.1, -15\/37, -4, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -3282 smaller than -3281?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 39.9 + 86.1. Let a = m + -127. Put -0.3, -0.5, a, 10\/13 in descending order.\nAnswer: 10\/13, -0.3, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 248 + -253. Let x(n) = -2*n**2 + 6. Suppose h + 5*q - 2 = 4*h, 22 = 5*h - 2*q. Let i(p) = -2*p**2 + 7. Give h*x(m) + o*i(m).\nAnswer: -2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 5*f. Let u(s) be the first derivative of s**2 + 2. Determine x(u(i)).\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + s = -1, -4*m + 3 = -m - 3*s. Let c(f) be the first derivative of -2\/25*f**5 + 0*f**4 + m*f**2 + 2\/15*f**3 - 4 + 0*f. Suppose c(y) = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 5*k**2 + 23*k + 2. Give l(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -36 + 38. Solve -2*q - 4*o + 18 = -4*q, -u*o = 2*q - 12 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -274, -547, -818, -1087, -1354, -1619, -1882?\nAnswer: -2143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 97 - 391 = -2*z + 2*a, -2*z = 2*a - 286. Suppose -z = -4*k - 53. Let d(y) = -2*y**2 - 23*y + 21. What is the remainder when d(-9) is divided by k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2\/3 + 1\/6*o**2 - 2\/3*o = 0. Calculate o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -25\/432 and 17\/239664.\nAnswer: 2156976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 117584*u**5 - 2*u**2 + 3*u - 5725?\nAnswer: 7055040*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -6 - abc0?\nAnswer: -abc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*l + 10*l - 21 + 5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 237 minutes after 12:14 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -24*g. Let h(q) = 7*q**2 + 9*q. What is v(h(l))?\nAnswer: -168*l**2 - 216*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7 - -1. Let b = -9 - -16. Let o(z) = -9*z**2 + 2*z. Let y(g) be the third derivative of -2*g**5\/15 + g**4\/12 + 2*g**2. Give b*y(a) + f*o(a).\nAnswer: -2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -40.04 - -40.24. What is the second smallest value in -3\/13, -3, -0.2, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What comes next: -746692, -2986782, -6720266, -11947144, -18667416, -26881082, -36588142?\nAnswer: -47788596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zmc when three letters picked without replacement from malaccazaclzeazma?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0\/7)\/((-4)\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 165*n**2 - 24*n**2 - 24*n**2 - 94*n**2 - 18*n**2 - 26*n**2.\nAnswer: -21*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cwkc when four letters picked without replacement from wkkwkckkckkkkck.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j**2 + 6*j - 3. Let o be h(5). Solve -o*b = -b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -87420287, -87420293, -87420299, -87420305, -87420311?\n\"Answer: -6*v - 87420281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wpawwpaaajaap. What is prob of sequence jw?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/18*3*-2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the second derivative of -3*r**5\/20 - 59*r**4\/6 - 413*r**3\/6 - 525*r. Find the second derivative of c(j) wrt j.\nAnswer: -18*j - 236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*r**4 + r**4 + 2*r**4 + (-3 + 1 + 1)*(0*r**2 - 2*r**4 + 0*r**2) + 2*r**4 - 4*r**2 + 4*r**2 + 20 - 25 + r**4 + 0*r**4.\nAnswer: 6*r**4 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -4  (b) -2  (c) -44  (d) 1\/2  (e) -1  (f) 380  (g) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 8, a: 5, k: 2}. What is prob of picking 1 a and 1 l?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (4 - 2) - -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -2*g - 24, 0*g = g - 4. Let v = 13 - n. Calculate the remainder when 7 is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*g - 73*g = -156*g + 672 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1551*x = -3049*x + 73402 for x.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -19*c**3 + 3*c**2 - 5. Let u(n) = 28*n**3 - 4*n**2 + 7. Give -5*u(t) - 7*x(t).\nAnswer: -7*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 309\/12 - 2\/(-8). Let h = 36 - c. Suppose 2*t + 9 = -5*j - 8, -t = 4*j + 16. What is the remainder when h is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 38*k + 1. Let v(a) = a. Let o = -7556 + 7557. Determine o*y(w) - v(w).\nAnswer: 37*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 - -352382?\nAnswer: 352378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5ba980 (base 13) to base 14.\nAnswer: -41190b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -126 = 46*i - 64*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -94.4924423 + 15.4924093. Let r = 79 + n. Round r to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -97 - -102. Let o be 7 - 0*(-1)\/p. Solve -5*n - o = 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.27849*0.04578\nAnswer: 0.0127492722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -33.135558 rounded to 1 decimal place?\nAnswer: -33.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39435?\nAnswer: 3, 5, 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -12398977*b*g*h + b*g + 34773637*b*h - 2*g*h + 2*h + 1 with respect to g.\nAnswer: -12398977*b*h + b - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 5) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 491 is divided by 50.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 163 divide 638315172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -2*j**2 - 2*j - 5. Suppose 0 = 5*p - 3*y - 17, -5*y - 10 - 1 = -4*p. Let n be u(p). What is the least common multiple of (-24)\/10*n\/6 and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -169\/13917750 and 109\/15750.\nAnswer: 41753250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of f*w**2 - 55134784*f*w + f + 66822576*w**2 wrt w?\nAnswer: 2*f + 133645152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (275*f**3 + 16*f**3 - 53*f**3)*(-f + 3*f - 4*f)*(2 - 6 + 3).\nAnswer: 476*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m**2\/4 + 442761*m\/2 - 65345767707\/4 = 0. What is m?\nAnswer: 147587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 102737881.\nAnswer: 102737881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t**3 - 43*t**2 - 45*t + 45. Let i be c(44). Sort i, -5, -25 in increasing order.\nAnswer: -25, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*z + 64 = 29*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -1*1*4\/(-12)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 184219985 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -222734*v + 19*v**2 - 222726*v + 7*v**2 + 445460*v.\nAnswer: 26*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7665 - -7664.9999995651. What is s rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 26 + 24 + 3*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-60)\/(-35))\/(1 - 3). Let y = 0.2 + -0.5. Let k = -0.4 - y. Put d, -1\/8, k in decreasing order.\nAnswer: k, -1\/8, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -o**2 - 430*o + 1293. Calculate q(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f + 5. Let k be b(-11). Is 5030\/(-4)*k\/(-20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*i - 490 = -6*i. Let x = -66 - i. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2901?\nAnswer: 3, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 = -p - 4*g, -4*g - 16 = 3*p + 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 - -1. Suppose 16 = 5*x + 1. Suppose -x*w + 4 = -w. Solve -3*y + w*y = v for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*x - 24 = 20*x. Let g = 10330\/63 - 1182\/7. Calculate the common denominator of (10023\/(-36))\/13 + x\/12 and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - 10 - (3 + (-20 - -17))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the first derivative of -11*v**6\/360 - v**4\/6 + 212*v**3\/3 + 31. Let w(r) be the third derivative of y(r). Let s(u) = -u**2. Determine w(s(a)).\nAnswer: -11*a**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the first derivative of 50*f**2 + 7 - 26*f**2 - 27*f**2. Let i(p) = 4*p. Give i(k(m)).\nAnswer: -24*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l - l**3 - 2 + 0*l + 8*l**2 + 3*l. Let n be p(8). Let r be 27\/(-15)*5\/(-3). Solve -5*z = -r*a - 6 + n, -a = z + 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 90 and 5202?\nAnswer: 26010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 119841962 to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 266 in -18\/5, -2, -1\/2, -2\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**2 + 757*k - 15572. Give b(21).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7357402 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 4289804049 to the power of 1\/5, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**0)**(-2\/85)\/((c**(-3\/2)\/c)\/(c\/(c\/(c**(-4)*c)))) assuming c is positive.\nAnswer: c**(-89\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - f = 26, -206*c - 66 = -209*c + f. Let q(a) = a**3 - 4*a**2 - 5*a + 3. Let t = 0 + 5. Let d be q(t). Solve -c = o + d*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 4529 = 2*s + 3713, -d + 4*s = -2071. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3979*-4\nAnswer: -15916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.939 in 4, -0.5, -4\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 154012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {b: 1, w: 2, y: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the first derivative of -x**6\/120 + x**5\/40 - x**4\/48 + 3*x - 4. Let j(s) be the first derivative of p(s). Suppose j(n) = 0. Calculate n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 minutes before 11:38 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(((t\/(t\/((t*t\/t**5)\/t)))\/t)\/t))\/t)\/t*t\/t**(1\/9)*t**(-20)*t*t\/(t*t**7) assuming t is positive.\nAnswer: t**(-181\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*l**2 - 32058*l + 2*l**2 - 444 + 31922*l - l**2 - l**2.\nAnswer: 4*(l - 37)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 4*o**2 + 3*o. Let f(x) = 5*x**2 + 2*x + 1. Let u(k) = -2*f(k) + 3*s(k). Is u(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by -170687.\nAnswer: 3\/170687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/2, 2\/623, 3, -4 in decreasing order.\nAnswer: 3, 1\/2, 2\/623, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -1382.80869 rounded to one decimal place?\nAnswer: -1382.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m*m*m**8)\/(((m**(19\/3)\/m*m)\/m)\/m*m))\/(m*m*m\/m**(-19)*(m**(-21)\/m)\/m))**(-9\/4) assuming m is positive.\nAnswer: m**(-51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 56 and 54922?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -63 - -62.962. Let g = -323.762 - -326.8. Let l = z + g. Which is the nearest to -0.1?  (a) -6\/11  (b) l  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -18 - 28c93?\nAnswer: -28cab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 + 5. Let p = u + -5. What are the prime factors of (-6)\/(-9) + 4\/p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:14 PM and 8:37 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8471907.4 - -8471305.40647. Let j = 602.1393 - 0.1393. Let k = j + q. What is k rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(5 + -2*sqrt(34)\/sqrt(2))*-5.\nAnswer: -150 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 144, 289, 444, 615, 808, 1029?\nAnswer: 1284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -43200, -42254, -41308, -40362, -39416?\n\"Answer: 946*h - 44146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8 is divided by (15\/3*1)\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*h + 9*h**2 - 14*h**2 - 2*h**2 - 19*h**2.\nAnswer: -26*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76*f - 540 = f - 155. Which is the nearest to 17?  (a) 0  (b) f  (c) -2\/67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) -10  (c) 309\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(9\/7))**(-1\/33))**28 assuming r is positive.\nAnswer: r**(-12\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -11558, -23134, -34710, -46286, -57862?\n\"Answer: -11576*i + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1030 - -1036. Solve 5*r = -3*s - 20, 0 = -r + 5*r - 2*s - g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*m - 35*m + 3 = 2*h, 0 = -5*m + 5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(17) + 2*sqrt(17) + (sqrt(153))**2 + 2.\nAnswer: 3*sqrt(17) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 20 = 5*l, 21 + 13 = -5*d + 2*l. Find the common denominator of (-24)\/(-11) + 3\/d and 426\/21*1\/(-4).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) be the third derivative of -1121*s**4\/12 - 379*s**3\/6 - 1216*s**2. Differentiate x(z) with respect to z.\nAnswer: -2242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5912 + -5867. Calculate the remainder when r is divided by 33.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -11*o + 20. Let a(m) = 14*m**2 + 1. Give a(o).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -344 - -343.999990147. Round x to 7 decimal places.\nAnswer: -0.0000099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**1\/(g**(-1)\/g)*((g*g**(-1)*g*g)\/g)**49*(((g**(-5\/2)*g*g)\/g)\/(g*g*g*g**(-5\/3)*g*g))\/(g**(2\/5))**47 assuming g is positive.\nAnswer: g**(851\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 23040048 a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 209 + -209. Suppose -3*n + 0*n = w - 4, -4*n + 2 = -2*w. Solve g*l = l + w for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b**3 + 24*b**2 + 43*b - 3. Let s be m(-22). Solve s*r = 29*r + 20 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000018 to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 2028000 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the first derivative of 5*r**3\/3 + r**2\/2 - 187. Let c(q) = -q**3 - q**2. What is c(b) + m(b)?\nAnswer: -b**3 + 4*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -15 + (-92)\/28 + 14. Which is the closest to 2\/7?  (a) n  (b) 2  (c) -0.4  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58*n + 131 = 62*n - p, -35 = -n + p. Let h(d) = -4*d - 4. Let c be h(-5). What is the greatest common factor of n and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 173457763.\nAnswer: 307, 401, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1854793 and -11.\nAnswer: -20402723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 82867.16 + -85914. Let v = 3136 + g. Let o = -91 + v. Round o to 1 decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -865?  (a) 3  (b) 2.92  (c) 5  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1251 - 1250. What is the second biggest value in j, 5\/4, -0.8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2.69 in -4\/3, 2\/21, -3\/2, -1\/6, 92?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0907910845 - -0.3.\nAnswer: 0.2092089155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/6*(-80031)\/(-9065)*70.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 410706 is divided by 1226?\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 368066766?\nAnswer: 2, 3, 61344461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -2*n + 3. Let u(i) = 6*i - 8. Give -6*u(l) - 17*v(l).\nAnswer: -2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1 - -1)\/(-2) - 3*-48. Calculate the highest common divisor of 44 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -35541 divided by -3457.\nAnswer: 35541\/3457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 + 154260090859373.\nAnswer: 154260090859372.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 197943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1 - 111101?\nAnswer: -111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -2*t**3 + 136*t**2 + 129*t + 592. What is a(69)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i**2 - 2*i + 7. Let y(d) be the third derivative of -d**6\/120 + d**5\/30 - 5*d**4\/24 + 7*d**3\/3 - 191*d**2. What is 5*k(a) - 2*y(a)?\nAnswer: 2*a**3 + a**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 2169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -15, -11, 3, 33, 85, 165, 279, 433?\n\"Answer: y**3 - y**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -118194\/7, 1\/8, -1\/10.\nAnswer: -118194\/7, -1\/10, 0, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 4.2, 0.1, -1, -19, -4 in descending order.\nAnswer: 4.2, 0.1, 0, -1, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 9, t: 7, z: 2}. Give prob of picking 2 o and 1 z.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 35*v - 52*v - 925 + 585 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 157640531.\nAnswer: 41, 61, 63031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 339, 680, 1021, 1362, 1703, 2044?\nAnswer: 2385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -110*p - 5*g = -107*p + 12, p = -3*g - 4. Let q = 0.4 - 0.39. Let k = 0.05 + q. What is the fourth biggest value in k, -0.1, p, -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -497 + 497.251. Let p = w - 0.250678. Round p to 5 decimal places.\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 + 17*w - 29*w + 93*w + 167*w - 1 to m + o*w and give o.\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -17 - (-21 - (-17 + 14))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l - 28*f - 46 = 50, 0 = 3*l + 3*f - 6*f for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -4119290 divided by -294235\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 191 minutes before 12:12 AM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 4, 39, 5, -77 in increasing order.\nAnswer: -77, 2, 4, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*m - 0 - 3, -3*m = 2*j - 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -18906*h**4 + 1702.\nAnswer: -75624*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 612164 is divided by 735.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36*i + 14*i - 23 + 9 + 3 + 11 + 21*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4\/7 - ((-3654)\/(-49) - -8). Calculate the remainder when 120 is divided by m\/3*(-3)\/2.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (18*r**3 - 98*r - 19*r**3 + 417*r**2 + 97*r)*(5 - 3 - 4).\nAnswer: 2*r**3 - 834*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1342 (base 5) to base 14.\nAnswer: -11c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*m - 10*m - 1325 = 0. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z**2\/5 + 753*z\/5 + 150 = 0. Calculate z.\nAnswer: -250, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10 - -111000000001000?\nAnswer: 111000000001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r**3 - 6*r**2 - 11*r - 25. Is c(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q**3 - 16*q**2 + 28*q - 5. Let r be n(14). Put -4, -1, 5, r in increasing order.\nAnswer: r, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 173\/17760 and 119\/1012320.\nAnswer: 1012320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/314 and (-101)\/(-3)*-18*(-6)\/576.\nAnswer: 2512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2069 divided by -65.\nAnswer: 2069\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-207)\/138*(3 + -2)\/12.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**(-4))\/(k\/(k**(-2\/5)\/k)))**(26\/9) assuming k is positive.\nAnswer: k**(338\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3397.\nAnswer: 43, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 6402963599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -250641593 or -250641594?\nAnswer: -250641593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, -3, 0.1, -39\/2, -2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14263 is divided by 368?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccmqcmcq. Give prob of picking 1 q and 1 m.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 112143582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -2*x**2 + 6*x + 13. Suppose 36 = -18*j - 18. Calculate v(j).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 = -3*q + 27. Let s = 59 - q. What are the prime factors of s?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(76)*1 - sqrt(304)*-2) + (sqrt(171) + -3*sqrt(171) + sqrt(171))\/sqrt(9) + -5 + 1.\nAnswer: -5 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 273 divide 332444112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3177 = -1233*v + 143550 for v.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/(-10)*(-280)\/(-448).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -r - 20. Let q be n(-20). Let u be 2 + -1 + 31 + -2. Suppose 0*f - 3*f = u. Is q < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9 - ((-29 - -11) + 6) - 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -69986 (base 12) in base 6?\nAnswer: -3010250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (10\/4)\/(20\/12)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 516 is divided by 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhfoaojffafoaofa. Give prob of sequence hff.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 = 3*b + 5*z, 3*b = 4*z - 2*z - 4. Solve 2*o - 4 + 2 = 2*a, b*a - o = -5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 41075 - 194?\nAnswer: 40881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/7 or 1.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 186 is divided by 55?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*l + 2*g - 24, -4*l + 6*l + 3*g = -12. Let f be (-9)\/6*2\/l. Which is the closest to f?  (a) 0.1  (b) 2  (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -9, 31, -1, -2\/3, -2?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.24 - -195.\nAnswer: 195.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (13 + 54 + 99)*(-20*a + 7*a - 49*a) in the form x + n*a and give n.\nAnswer: -10292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**2 - 6*m + 5. What is the tens digit of c(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 129*o**3*p + 744*o**3 - o**2*p - 1524*o*p + 2*o - 297 wrt o?\nAnswer: 774*o*p + 4464*o - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 5 - 3 + 1 + 2*p + 0*p + 3*p**2. What is the tens digit of q(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 0*b**2 - 3 - 1087*b - b**2 + 1081*b. Suppose -3*x = -4*u - 47, 0 = 2*u + u + 2*x + 48. Let d be u\/(-8)*(-9 + 5). What is n(d)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -23006, -23000, -22990, -22976, -22958, -22936, -22910?\n\"Answer: 2*a**2 - 23008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t\/t**(-5\/4))\/t)\/(t\/(t*t**(-18)*t)))**40 assuming t is positive.\nAnswer: t**(-630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -1105*t**2 + 4*t + 15. Let x(s) = 553*s**2 - 2*s - 7. Let d(p) = -6*k(p) - 13*x(p). Let f be d(-1). What is f rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -96 - -159. Suppose 0 = -3*j + a + 37, a = 2*j + 3*j - w. What is the remainder when 38 is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/13 - 16\/(-104). Let v be 647 + 1 + (q - 0). Let j = 1221 - v. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4 - -22. What is the remainder when 114 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17652.\nAnswer: 2, 3, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 137628529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -8638693 and 2.\nAnswer: -17277386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 937?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the second derivative of 0*a**3 + 1\/12*a**4 - a + 5\/2*a**2 + 0. Let o(z) be the first derivative of s(z). Let w(c) = -2*c. Calculate o(w(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -177, -820, -2515, -5772, -11101, -19012, -30015?\nAnswer: -44620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(1\/4)*f\/f**(-7))\/(f*f**(-1\/4)*f)**(-5\/6))\/(((f*f*f\/(f\/(((f*f**(3\/2))\/f)\/f)*f))\/(f**(-1\/3)*f))\/(f**0*f**(-2\/7))) assuming f is positive.\nAnswer: f**(481\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 7*g + 1. Let u be ((-2)\/(-8))\/(1\/28) + -1. Let x(v) = -u + 8 - 2 - 6*v. Give -3*o(i) - 4*x(i).\nAnswer: 3*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2 + 1. Let m be (3 - 3301\/1577) + -1. Let w = 1\/83 - m. Which is the biggest value?  (a) t  (b) -3  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.669 - 2.341. Let f = u + 0.01. Let a be 3\/15*4\/6. What is the third biggest value in a, f, -0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4169601157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -12 - -18. Is 6 a factor of (14\/g - 1)*18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 32578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 360822 divided by -77.\nAnswer: -4686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 106205300, 212410598, 318615896, 424821194, 531026492?\n\"Answer: 106205298*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 5*w = 15 - 36, 2*w = 5*t - 36. Let y be (-14)\/t + (-2)\/3. What is the smallest value in y, 3, 5\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17491?\nAnswer: 17491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-d + d + d)*(-1 + 0 - 2) + (-2 + 0 + 4 + (-4 + 7 + 1)*(0 + 1 + 0))*(-1 + 5 - 2*d - 5) to b*d + t and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, -3\/7, 691?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*a**3\/5 + 408*a**2\/5 + 1521*a\/5 - 8316\/5.\nAnswer: 3*(a - 3)*(a + 7)*(a + 132)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-36)\/(-162) - ((-38)\/(-9) - 1). Suppose 0 = 5*v - 3*g - 14, -3*v - 5*g = 2*v - 30. Let i(h) = -v*h + 4*h - 3*h. Give i(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 26\/53 - -3853\/1113. Calculate the common denominator of -59\/14 and l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 54460?\nAnswer: 2, 5, 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 30 = -5. Calculate the remainder when u is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence us when two letters picked without replacement from ususs.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -110.909 and -497.723?\nAnswer: 386.814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d + 4. Suppose -13*n = -6*n - 5*n. Give c(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 308, 2, -8960 in increasing order.\nAnswer: -8960, 2, 308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/(-1 + (-48)\/(-50)). Let f be (0 - i)\/(2\/2). Suppose z = -2*h - 10, -3*z + 5*h + f = -2*z. Which is greater: z or -2\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -12324, -21776, -31228, -40680?\nAnswer: -50132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 - ((-370)\/(-35) + -2)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4327 + 4327.3. Let l be (-19 - -4)\/(2\/2). Let i be -1*(-3)\/l*-3. What is the third smallest value in -7, h, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**3 - 6*o**2 - 16*o + 1. Give c(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -11886, -11847, -11760, -11601, -11346?\n\"Answer: 4*n**3 + 11*n - 11901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -18 + 17.9. What is the nearest to 0 in -5, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 602, 631, 676, 731, 790, 847, 896?\nAnswer: 931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the third derivative of -15\/4*z**4 + z**2 - 6*z**3 - 1\/105*z**7 + 0*z + 0 - 11\/10*z**5 - 29\/180*z**6. Let h(r) = 0. Calculate r.\nAnswer: -3, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -19 + 32. Suppose -l + 50 = 5*w, 4*w - l + c - 44 = 0. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (13 + -3)\/(1 - -1). Let d = 3 + v. Let l = 119 - 117. What is the lowest common multiple of l and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by 6509.\nAnswer: -2\/6509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/8*-22*-4. Let k = -15 + l. Let a = 2 + k. Calculate the remainder when a is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9427750 by -10.\nAnswer: 942775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = t - 4*z, -4 = 5*t - z + 4*z. Let s(g) = g**3 + 8*g**2 + 9*g - 7. What is the least common multiple of t and s(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.07, 5.7, 0.4 in descending order.\nAnswer: 5.7, 0.4, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -4.3715832 to 3 decimal places.\nAnswer: -4.372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1557119, -6228573, -14014359, -24914471, -38928903, -56057649?\nAnswer: -76300703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -26.9 + 27. Which is bigger: -0.075 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2443318?\nAnswer: 2, 1221659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 126 + -126. What is the second derivative of -2 + q**3 + q**5 + 0 + 4 + k*q - 4 - 63*q wrt q?\nAnswer: 20*q**3 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 3*s**3 + 17*s**2 - 3*s + 21. Let v be t(-6). Suppose -4*w - 4 + 68 = 0. Suppose x = -x + w. Solve -4*z + 0*z = v*h + 11, -h = -z - x for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 51637 and 51637 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**2 + 10*k + 4. Give j(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (446\/1115)\/(192\/30)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26376188 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1115892.\nAnswer: 2, 3, 139, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1975434 is divided by 309.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 a factor of 916032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 580*n**2 - 849112*n - 11712.\nAnswer: 4*(n - 1464)*(145*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 67 + -64. Solve y*k = 10 + 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1)\/4 - (-8678)\/(-32). Let i = v - -551\/2. Calculate the common denominator of i and (378\/98 - 3)\/(8\/161).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -2*d**2 - 72*d - 316. What is k(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 43766 and 1106?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -26014, -52054, -78176, -104422, -130834?\n\"Answer: -7*v**3 + v**2 - 25994*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-1188)\/(-264))\/((-1)\/(-48)). Calculate the highest common factor of u and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 11*i - 1. Let r be y(1). Let p = r + -7. What is the third derivative of d**2 - 4*d**3 + 5*d**p + 0*d**3 wrt d?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 5\/(-1)*(-2)\/85. Let d = -0.1 - -0.1. Let y be ((-21)\/(-35))\/(18\/(-4)). What is the nearest to d in k, -0.3, y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 848625487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -29 - 3*o + 91 - 32 - 24 + 2*o. Determine v(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 354 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b\/b**11)\/b)\/(b**(-2\/5)\/b) assuming b is positive.\nAnswer: b**(-43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence euue when four letters picked without replacement from {b: 11, u: 4, e: 3}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-24)\/(-4))\/(-6))\/(((-245)\/(-30))\/7)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 99*q + 1943 - 187*q**3 - 102*q - 104*q**3 - 167*q**3 wrt q?\nAnswer: -1374*q**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the first derivative of -g**3\/3 - 3*g**2\/2 + 4*g - 645. What is l(-6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000413289552 to seven decimal places.\nAnswer: -0.0004133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1942525000 rounded to the nearest 1000000?\nAnswer: -1943000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 5, q: 3}. Give prob of picking 1 q and 1 g.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 4*o - 238. What is the least common multiple of r(73) and 36?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x + 2*t - t - 62 = -4*t - 102, -4*t = -x + 11 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3\/(-2)*(15 - 41). Let t = -98 + 215. Calculate the highest common divisor of t and b.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o = -13*o + 49. Suppose 11*l - 3*s - 15 = o*l, 5*l = 2*s + 17. Factor 2\/5*w**l - 6\/5*w**2 + 2\/5*w**4 + 4\/5 - 2\/5*w.\nAnswer: 2*(w - 1)**2*(w + 1)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 3\/5 of a minute?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3486637 is divided by 213.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the second derivative of -a**7\/70 + a**6\/30 - a**5\/50 - a. Let n(x) = 0. Calculate x.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -10465*q - 10456*q - 2 + 20930*q. Let w(u) = -9*u + 2. What is 5*w(o) + 4*y(o)?\nAnswer: -9*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-15)\/(-10)*5\/30*-8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*k + 148812 + 14971 = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6230 is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 5 + (-5 - (-9 + 15\/3)). Suppose -3*o = -z - 4*z - 879, 1172 = n*o - 4*z. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11 by -9.\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 43348, 43362, 43376, 43390?\nAnswer: 43404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6780 + -6780.0000001717. Round y to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -26170905 and -0.025.\nAnswer: -26170905.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m - 49*m + 306 = -19*m for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 2*a + 249 - 9790 = 0, -3*a - 12727 = 4*m. Let b = m - -4523. What are the prime factors of b?\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 193 a factor of 5488727?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -2*l**2 + l. Let n(f) be the third derivative of 13*f**5\/30 - 3*f**2 + 188. Calculate n(d(t)).\nAnswer: 104*t**4 - 104*t**3 + 26*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:30 AM and 2:50 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-665)\/(-42) + 2\/12. Let m be (-4)\/(-6) - 200\/30. Let u(v) = v**3 + 7*v**2 - 2*v. Let z be u(m). Calculate the greatest common divisor of j and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -30 + -14498?\nAnswer: -14528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 0*p = 3*y + 192, -4*y = -2*p - 74. Find the common denominator of 21\/(-15) + 1 + p\/(-100) and -71\/52.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 130\/(-4)*4\/45. Which is greater: -2 or w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2931317 and 0.7.\nAnswer: 2051921.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the first derivative of a**4\/4 - 4*a**3\/3 + 2*a**2 + 7. Factor z(o).\nAnswer: o*(o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*n + 37*n - 30860 = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -15*v**2 - 8*v - 495?\nAnswer: -30*v - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qmmvqoouoooyouuuo. Give prob of picking 1 m and 1 q.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 1 - 1)*((3 - 2 - 3)*(3 + 2*h - 3) + (1 - 1 - 3*h)*(6 + 4 - 8))*(0 + 5*h + 0)*(10 + 0 + 1).\nAnswer: -1650*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 20*s**3 + 6*s - 11*s**3 - 4*s**3. Let g(z) = -4*z**3 - 5*z. Let b be 4\/(-6) + 60\/9. Determine b*g(y) + 5*o(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 19135 + -1569073\/82. Which is greater: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0 - -1) + 25 + 1623 + -1634\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 26\/(-4)*-2*6\/54*-9.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - o + 8 = -3*d, o - 3 = 0. Suppose -q = d*p - 42, -3*q = p - q - 3. Calculate the remainder when 34 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14ca (base 16) in base 9?\nAnswer: -7263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -111*-0.3.\nAnswer: 33.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -128 + 137. What is the remainder when 142 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 - 0. Let i = w - -8. Factor 0 + 0*p + 0*p**4 + 2\/7*p**5 - 2\/7*p**3 + 0*p**i.\nAnswer: 2*p**3*(p - 1)*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6147 - 5697. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 19043, 19049, 19059, 19073, 19091, 19113, 19139?\n\"Answer: 2*b**2 + 19041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -4*k - 10. Let r be ((-2)\/5)\/(((-333)\/90)\/37). Suppose -r*o - s + 5 = 0, 3 = 5*o - 2*s - 13. What is the smallest value in 1, 3, k, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 636 and 12.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 46 by 23.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 225590 and 280?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-40 - -5) + 13 + (8 - 0).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.019, -2\/74999, -3, 24.\nAnswer: -3, -0.019, -2\/74999, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2522250 by 6.\nAnswer: -420375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*k**5 + 6*k**4 + 356*k**3 + 960*k**2 = 0. What is k?\nAnswer: -10, -3, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -2*u - 16. Let f be k(-15). Let l = 3 + f. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.323371 - 312.374971. Let f = -311 - l. Let t = 0.06 - f. Round t to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 506 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 3 s when four letters picked without replacement from kktsttssskssso?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -16*t**2. Let l(i) = 246618*i. What is l(a(x))?\nAnswer: -3945888*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) 1\/4  (b) -20  (c) 0.02  (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 494551789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 24 = -6. Suppose -q - n = 3. Put 0, q, 2 in descending order.\nAnswer: 2, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 623 minutes before 8:03 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = -0*a + 4*a + 8, g + 5*a - 8 = 0. Let q be 23\/g*3 + 1. What is the greatest common factor of q and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -20709 + 20571.97. Let y = i - -14.73. What is y rounded to the nearest integer?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**3 - 8*r**2 + 27*r + 10. Let t be n(9). Suppose -5*y + 536 = -4*y. Suppose t + y = 3*i. Round i to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3282, 12070, 26730, 47268, 73690, 106002, 144210?\nAnswer: 188320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let c = 35 - 46. Let g = 11.0000216 + c. What is g rounded to 6 dps?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/28)\/(45\/945)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the second derivative of 75*p**4\/4 + p**3\/3 - 3*p**2\/2 + 28*p. List the prime factors of u(1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 2*r - 2. Let g be h(3). Suppose 54 + 94 = g*a. Suppose 0 = 2*q + n - 70, 4*q + n - 83 - 61 = 0. Is a at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -8\/7, 3\/16, -2\/3, -1\/10, 1, -2\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = 2*o. What is the units digit of (-3)\/((-6)\/8 + o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2304 minus 0.3?\nAnswer: -2304.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = -8*b + 285. Suppose 5*o - 2*o - b = 0. Calculate the remainder when o is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g**2. Let b be z(4). Let h be (0 - 0) + (-9759760)\/b. Suppose 5*s - 4*s - h = 3*f, 4*s - 2440025 = -5*f. What is s rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:42 PM and 2:58 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, 1, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 421300  (b) 3  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 7824661?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r + 7. Let t be c(7). Suppose -8 = 4*p, p = 5*v - t - 7. Is 79 + 0 + 1 - v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -10957\/1496 + -19\/374. What is the common denominator of a and 99\/632?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o = 2*m, m = 8*o - 4*o + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -19 + 12. Let m(s) = -s**3 - 7*s**2 + 5. Let n be m(x). Suppose -235 = -n*b - 1435. What is b rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 126257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -7*l. Let h(d) = d - 4628. Give h(n(i)).\nAnswer: -7*i - 4628","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 5299080 to the power of 1\/2, to the nearest integer?\nAnswer: 2302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -3*v + 8. Let z be c(6). What is the common denominator of 2\/((-240)\/(-802)) - 4\/z and -87\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**(-1)*t)\/t*t**(8\/3))**(-1\/9) assuming t is positive.\nAnswer: t**(-8\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 - (1 - -3) - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 7 - -14343?\nAnswer: 14352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3\/6*15624\/28. Differentiate 419 - 270 - 84*m - d wrt m.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 870297?\nAnswer: 3, 23, 12613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 3*z = 23, -z - 21 + 2 = 5*q. Let t = 3\/103 - -179\/927. Let h = -1 + 6. What is the nearest to -3 in h, q, t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -5*x**3 - 5*x**2 + 117*x - 11. Let w be m(11). Let y be (w\/240)\/(-22) + (-1)\/3. Factor 0 - 12\/5*n**3 + 4\/5*n**4 - y*n + 12\/5*n**2.\nAnswer: 4*n*(n - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -112314414412 + -10?\nAnswer: -112314414422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/5 in -4, -3\/2, -26?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -4193*o**2 + 264*o - 484. Let l(q) = 44*q. Let w(s) = -k(s) + 6*l(s). What is the first derivative of w(r) wrt r?\nAnswer: 8386*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1026 in -1, -3, 2\/3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 4*u - 28. Let j(l) = 18 - 3 - l - 6. What is 10*j(y) + 3*p(y)?\nAnswer: 2*y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 + 202322?\nAnswer: 202311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3618 + 3618 - 22*l.\nAnswer: -22*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (1*8\/(-308))\/(18\/(-66))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 544 divided by 11025\nAnswer: 544\/11025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.06 and -1366646.\nAnswer: -81998.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/(-4) + (-9)\/(-2). Let v = t + -1. What is the remainder when 4\/1 + 0\/(-1) is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t**3 + 2*t**2 - 2*t + 2. Let s be b(1). Suppose 8*h - 500 = s*h. Calculate the greatest common factor of 125 and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 192, 369, 520, 633, 696, 697, 624?\n\"Answer: -2*h**3 - h**2 + 194*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/i**14)\/(i\/i**(-2\/3))*i**(-10\/7)\/(i*i**(-14)) assuming i is positive.\nAnswer: i**(-65\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 289529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 4*i + 5*a = -80, -4*i = a - 84. Let k = 7 + i. What is the remainder when 46 is divided by k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - (0 + (4 - 2) + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1a165b + -17?\nAnswer: 1a1644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13 = -5*t + f - 23, -4*t = 5*f + 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -4*h**2 + 39*h. Let a(m) = -m - 73. What is a(b(j))?\nAnswer: 4*j**2 - 39*j - 73","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lllt when four letters picked without replacement from lftlllft.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mvvm when four letters picked without replacement from {v: 2, t: 2, j: 1, m: 14}?\nAnswer: 91\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*w + 9*w = -4866. What are the prime factors of w?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5004092*j**2 - 2*j**3 - 5004087*j**2 + 3*j**3.\nAnswer: j**3 + 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 13*518\/(-481) + -8?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1787694?\nAnswer: 2, 3, 67, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 543 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -0.118  (b) 3  (c) 1  (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -2*d**3 - 72*d**2 - d + 27. What is the remainder when 121 is divided by j(-36)?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7590805.\nAnswer: 5, 23, 149, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 - -1. Let i(k) = k - 1. Let z be i(f). Solve -3 = 4*g - 5*h - 8, 3*h = 2*g - z for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9*(-1)\/(-2)*65\/((-30225)\/62).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -160123, -320265, -480407, -640549, -800691, -960833?\nAnswer: -1120975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22642 is divided by 7527.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 5 times 67\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -28*b**3*w**3 - 51*b**3*w - 58*b**3 - 3*b**2*w**3 + 57*b*w**3 - w**2 wrt w?\nAnswer: -168*b**3 - 18*b**2 + 342*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-138)\/(-2)*-7*(-15)\/(-105). Are u and -69 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**2\/3 + 38*z + 345320\/3.\nAnswer: -2*(z - 445)*(z + 388)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 1.5 - 9886232\nAnswer: -9886230.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/13 at least as big as 2181113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -774*p**3 - 2*p**2 + 2. Let u be a(1). Let n = u + 782. Calculate the smallest common multiple of (4 - -3)*(-2)\/(-2) and n.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*i = -1218 - 1278. Let d be (i\/30)\/((-2)\/(-5)). Let n be (-10)\/(-40)*98\/2. Which is smaller: d or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 789, 1609, 2429, 3249, 4069?\n\"Answer: 820*g - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.158, -2, 5, 0.1, 2\/21907?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -5  (b) 77  (c) -3  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 2046*w - 57. What are the prime factors of s(1)?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -4*z - 2. Let c be o(-6). Suppose -c = -3*r - k, -6*k = -3*r - 2*k + 17. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5954727 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 11077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.31 + -1432.\nAnswer: -1432.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the third derivative of z**5\/12 + 565*z**4\/24 + 280*z**3\/3 - 3597*z**2. Factor k(y).\nAnswer: 5*(y + 1)*(y + 112)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2 - -11. Let k = -7 + p. Let l = 94.6 + -95. What is the nearest to k in l, -2, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 15\/15776 and -35\/2059.\nAnswer: 1120096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five quarters of a hour in minutes?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(52)\/(sqrt(484)*2)*4)**2.\nAnswer: 52\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 26731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 + 3. Let t = 5.4 - r. What is the closest to -1 in -5, 0.5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 3*k = 16. Suppose -4*u + k*s + 108 = -512, -3*u + 457 = s. Let y(z) = -z + 3. Let l be y(-14). Calculate the greatest common factor of u and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0\/6 + -4 + 15. Put 6, -11, x in decreasing order.\nAnswer: x, 6, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 27 in -5, -2\/5, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -16*5\/15*-3. Is 10 a factor of (-3)\/(-4) - (-692)\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (z - 27*z + 14*z)*(0 - 1 - 1)*(-8 + 10 + 9).\nAnswer: 264*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1683686964 to the nearest integer?\nAnswer: 41033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11719623.\nAnswer: 3, 3906541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36011*t**3 - 34554*t**3 + 70567*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4.525 and 0.5?\nAnswer: -2.2625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4722766.\nAnswer: 2, 29, 107, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 722*j**5 + 51*j**2 + 3*j.\nAnswer: 43320*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 24\/135 - (-2)\/(-5). Let f be (-15*(-12)\/1350)\/(3 - 11\/3). What is the second smallest value in 1\/8, f, 3, z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -80, -163, -246?\nAnswer: -329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/59777 and 37\/253.\nAnswer: 657547","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, m: 2, d: 1, q: 2, b: 1, a: 1}. Give prob of picking 1 b, 1 d, and 1 m.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 3*i**2 - 3*i + 17. Let h(w) = w**2 - 2*w + 8. Let s(b) = -5*h(b) + 2*y(b). Suppose 0*r - 2*r - 4 = 0. Let a be 6\/(-3)*(-5)\/r. Determine s(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 20782726?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4 - 2. Let q = 552.1198 + -0.1198. Let w = q + -549. Which is the closest to d?  (a) w  (b) 0  (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*p - 4*b + 2*b - 18 + 70 = 0, 0 = -15*p - 5*b for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.2, -1\/26, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1011111110 - -1000?\nAnswer: -1011110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*i + 19*i - 4158. Let p = i + -173. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**2 - 12*i - 11. Let o be h(-10). Let u = o - 5. Suppose 2*q = u*q + 5*y - 37, 5*y = 2*q + 13. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -41*i + 156. Let q(n) be the third derivative of 13*n**4\/4 - 311*n**3\/6 - 29*n**2. Let p(z) = 5*d(z) + 3*q(z). Differentiate p(l) with respect to l.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 22860110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y*y*(y\/(y**4*y*y))\/y*y*((y**5*y)\/y)\/y*y*y)\/(y**(-1)*y*y)**(-30)*((((y*y*y**(-1\/7))\/y)\/y)\/(y\/y**4))\/(y\/(y**(-2\/3)*y))**(3\/16) assuming y is positive.\nAnswer: y**(2057\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -293.91 + 5.91. Let g = 281 + m. Which is the second smallest value?  (a) -12  (b) g  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -45 - -47. Let y = -1241\/165 + 5\/11. Let c = -32\/5 - y. What is the closest to 1 in r, c, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2819*m - 14711 - 1454*m + 341*m - 792*m wrt m?\nAnswer: -4724","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -6126, -12155, -18216, -24303, -30410, -36531?\n\"Answer: y**3 - 22*y**2 - 5970*y - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-3)\/(-4))\/((-18)\/(-48)*-4). Which is the nearest to -1?  (a) -14  (b) -2\/7  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*b + 0 = -114 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2001, -1874, -1521, -828, 319, 2034, 4431?\nAnswer: 7624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*s**5 + 11422*s**3 + 212*s**2 + 2345*s + 17201 wrt s?\nAnswer: 40*s**3 + 68532*s + 424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3194 = 89*g - 375*n + 370*n, -g - 38 = n for g.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0440809 to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.17869776 to four dps.\nAnswer: -0.1787","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.115, -0.1, 1\/2, 3?\nAnswer: -0.115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26521.\nAnswer: 11, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(891) + -5 - sqrt(11)).\nAnswer: -4 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 21 in 4\/127, 2\/23, -47, -3?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*u**2 - 33*u + 33*u)*(3*u**2 - 4*u**2 - 2*u**2) - 13*u**4 - 15*u**4 - 7*u**4 + (-u**3 + 2*u - 2*u)*(3*u - 2*u - 2*u) + 3*u**4 - 2*u**4 + u**4.\nAnswer: -26*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 3, e: 1, j: 2, v: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 316, 634, 952, 1270?\n\"Answer: 318*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -261025766*n**4 + 2797952*n wrt n?\nAnswer: -3132309192*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 7993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 93*n**2 + 4*n + 8. Let q(l) = 2*l + 4. Let z be q(3). Let g be r(z). Suppose -g = -5*i + 10652. What is i rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1088 = -5*k - 182. Is 13 a factor of (-3)\/(-5) - k\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -8*y. Let u(m) = -7*m. Let q(h) = 6*b(h) - 7*u(h). Suppose 0*n - 2*n + 4 = 0. Let p(k) = -5*k + 4*k + n*k. Give p(q(s)).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = -0*v + 140. What is the highest common factor of 21 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u**3 + 2*u**2 - 11*u - 21. Calculate t(-8).\nAnswer: 707","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*m + 0*m + 0*m + (0 - 4 + 5)*(2*m - 2 + 2) - 76 + 76 - 11*m.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28266 is divided by 514.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5 - -5. Suppose b = 3 - l. Suppose -3*q + 866172 = b*w + 61766181, 4*w - 3*q = -81199991. What is w rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*s + 0 + 0)*(0 + 3 - 2)*(-5 + s**2 + 5)*(-2 + 1 - 3)*(120*s + 102*s - 227*s + 31) to y*s + c*s**2 + w*s**3 + d*s**4 + f and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 6122223 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put together 367 and -346.7.\nAnswer: 20.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -415, -404, -393?\nAnswer: -382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 432 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4241126.\nAnswer: 2, 17, 124739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the second derivative of -457*u**4\/12 + 5*u**3\/2 - 39*u**2\/2 - 1075*u. What is the second derivative of g(y) wrt y?\nAnswer: -914","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the first derivative of 4*n**5\/75 + n**4\/2 + 16*n**3\/15 - 16*n**2\/15 + 46. Determine d so that c(d) = 0.\nAnswer: -4, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (5*-1)\/(27\/6 - 7). Solve -15 = 5*s - z*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 264 - 264. Factor u**2 - u - 1\/4*u**3 + n.\nAnswer: -u*(u - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:40 PM and 6:22 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 8 = 4. Let m be u + 0 - (-4 + 1). Solve -h = -m*h - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 487524?\nAnswer: 2, 3, 40627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -187*t + 189*t + 64*t**2 + 116*t**2.\nAnswer: 180*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 26*m + 106*m + 7051 + 2981 for m.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u**3 + 8*u**2 + 3*u + 2. Is 28 a factor of g(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2.5 + -3. What is the smallest value in -2\/7, o, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e and 2 t when four letters picked without replacement from tsetetsttttsttst?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58*z - 60*z + 0*z - 5*i = -162, -i = -4*z - 50 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7006976 is divided by 1167801.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**2. Let g(s) = -8*s**2 + 48*s + 48. Let u(p) = p + 0*p - 1 + 0*p + 2. Let y(r) = g(r) - 48*u(r). Calculate y(m(x)).\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 43\/4 of a milligram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in twenty-one fifths of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:11 PM and 10:26 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -3*g + 1. Let v be j(3). Let z be (-6)\/4 + (-28)\/v. Solve -z*k + 6*k = 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n = 3*u - 21, -3*n + 5447*u - 5443*u = 31 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the first derivative of 2*j**3\/3 - 668. Let g(l) = -43*l - 8. Give g(o(w)).\nAnswer: -86*w**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -38*z + 17. Let v(t) = 13*t - 5. Calculate 3*h(x) + 8*v(x).\nAnswer: -10*x + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00012797 to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -13880*r + 3. Let b(c) = -8*c. Calculate b(o(l)).\nAnswer: 111040*l - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 6*w + 62. Let q be u(-11). Let k be 322\/88 + 5\/(13 - -42). Which is the biggest value?  (a) q  (b) k  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4769 - -920427\/193. Are 1\/2 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = -2*w - 134, q - 4*w = -3*q + 132. Suppose -4*g + q = -58. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 413673101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the second derivative of 25*t**4\/12 - t + 164. Let z(o) be the second derivative of -o**4\/6 + 4*o. What is g(z(n))?\nAnswer: 100*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 114 = m, -606*t + 2*m + 63 = -605*t. What is the greatest common factor of t and 13321?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/948705 and 149\/18?\nAnswer: 5692230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 6348 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -1.3, 2\/3, -1, -14?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 10 = 0, -5*i - 5*v + 9245 = -0*v. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3\/34, -1, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 237 + 797 = -5*l, -419 = -3*u + 4*l. Suppose u = 3*i + 2*i. Let c = i - 15. Does 14 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*j + 11*j = 8. Suppose -4*h - 184 = -j*k - 2*h, 0 = 3*k + 3*h - 300. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -532*v**2 - 2*v + 682 wrt v.\nAnswer: -1064*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -11.5 and 145458.7?\nAnswer: -1672775.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -83 or -10153\/124?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-18)\/(-136))\/(54\/144).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1196 is divided by 275?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1784)\/28 + (-8)\/28. What is the tens digit of (0 + -1)*(-3 + a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes after 3:33 AM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 381 is divided by 104.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -10*q**2 + q - 1. Suppose 0*i + 4*i = 4. What is c(i)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -222, -446, -672, -900?\nAnswer: -1130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by -40310.\nAnswer: 1\/8062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 174 and 526074500?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 7, a: 4}. Give prob of picking 2 d.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 216 and 1889379?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -2*i**2 + 4*i - 7. Let j be 4\/(4 + 0 + -2). Let u be k(j). Let b(c) = 5*c**2 + 2*c - 8. Is b(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -196023*f + 196020*f - 6*d - 21 = 0, 5*f - 3*d - 43 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -799505, -799506, -799507, -799508, -799509?\nAnswer: -799510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 4*j**3 - 11*j**2 - 32*j - 11. Let a(d) = 2*d**3 - 6*d**2 - 16*d - 6. Let q(r) = 11*a(r) - 6*c(r). Find the second derivative of q(b) wrt b.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 28935b - -2?\nAnswer: 289360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 21460.60209 rounded to the nearest 100?\nAnswer: 21500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -678*a - 71186. Calculate u(-105).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*o**2 + 5*o**2 + 2*o**3 + (-o**2 + 2*o**2 - 2*o**2)*(0 + 0 - 2*o) - 14*o**3 - 20*o**3 + 15*o**3.\nAnswer: -15*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -14*g - 177. Calculate t(-10).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m. Let u(g) = 5489809*g. What is v(u(w))?\nAnswer: 5489809*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*b - 5*b + 53*b**2 + 2*b as s*b**2 + i + g*b and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 9*n**2 - 6*n - 4. Let j(o) = 2*o. Determine 3*j(l) + m(l).\nAnswer: 9*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -r**3 + 7*r**2 - 10. Let s be h(8). Let w = -70 - s. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 4, o: 1, a: 6, k: 5}. What is prob of sequence ak?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -2*a**2 + 6*a - 6. Calculate r(5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-80)\/25*(124\/(-4) - -1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 205 = 2*x, -17*q + 4*x + 23 = -16*q. Calculate the remainder when 59 is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.3 and 2260.6.\nAnswer: 2260.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 137884551 to the power of 1\/2, to the nearest integer?\nAnswer: 11742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let -30*m**5\/13 - 20642*m**4\/13 + 232946*m**3\/13 + 194458*m**2 - 28080228*m\/13 = 0. Calculate m.\nAnswer: -699, -166\/15, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 666 + 2?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4851 and 7623.\nAnswer: 53361","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p**2 + 7*p - 5. Let v be a(-7). What is the remainder when 46\/4 + v\/10 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -17 - -20. Put r, 4, 0 in decreasing order.\nAnswer: 4, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3\/7  (b) 68  (c) 5  (d) -1  (e) -60987\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 824058685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 13160 and 336.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -35 - g + g - 7*g - 101 + 189 to q*g + a and give a.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**3\/(i*i**(-1)\/i)*((i\/i**(-5))\/i*i)**(-39))**21 assuming i is positive.\nAnswer: i**(-4830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 38862091 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1015 - 1028. Which is the nearest to t?  (a) -0.4  (b) -1\/3  (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (151*k**2 + 9665*k - 9670*k + 1020 - 1021)*(0*k**2 - 2*k**2 + 4*k**2).\nAnswer: 302*k**4 - 10*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 203, 1984, 68 in descending order.\nAnswer: 1984, 203, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the second derivative of 587*w**3\/6 - 2*w + 1125. Let t(x) = 2*x**2. Determine t(i(k)).\nAnswer: 689138*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1280059, -2560093, -3840129, -5120167, -6400207?\n\"Answer: -x**2 - 1280031*x - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:49 AM and 12:22 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = d, -4*o + 4 = 4*d - 0. Suppose -622 = -o*p + 2*z - 4*z, 2*z + 4 = 0. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -92 = 4*v - 3*b - 2*b, -2*v + 5*b - 46 = 0. Let m = v - -23. Suppose -8*k + 5*k + 3 = m. Solve 3*u + 8 + k = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-27)*456\/(-304)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -16*j*o**3*z + 1913*j*o**3 - 3*j*z - 3*o**3*z - 2*o**3 + 863449*o**2 wrt o.\nAnswer: -96*j*z + 11478*j - 18*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 176*x**3 + 9*x**2 - 9*x - 1. What is n(1)?\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3\/(-12) - 183\/(-12). Does 24 divide ((-119)\/(-2))\/(a\/30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -557040 by 4.\nAnswer: -139260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, q: 1, r: 2, f: 1}. What is prob of sequence fr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (sqrt(833) - (sqrt(833)*-1 - sqrt(833)))*-6)**2.\nAnswer: -504*sqrt(17) + 269896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 737 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 127732?\nAnswer: 2, 11, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.412783 rounded to two decimal places?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-1*sqrt(7)*-6)**2.\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u*u**(-1\/2)*u\/((u\/(u**(-10)*u*u))\/u)*(u*u*u**0*u)**(1\/6))**32 assuming u is positive.\nAnswer: u**(-160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*x = 18 + 22. Let o be -3 - x\/(-3) - 2\/(-6). Let g be 3\/(-1)*8\/6. Sort -3, o, g, 2 in increasing order.\nAnswer: g, -3, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1ab - 1?\nAnswer: -1ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 5  (b) -13\/6  (c) -5  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.8 * -1.5.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 3518123000 to the nearest 1000000.\nAnswer: 3518000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -11 + 22. Let s = -10.53 + v. Let p = s - 0.423. What is p rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -827 + 824. Which is the closest to 69?  (a) -2\/17  (b) 3  (c) -4  (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -55*q + 17. Let c be h(2). Let i be (1 + 0)*(0 + 412). Let a = c + i. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes after 3:42 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -27 divided by -54\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 339481327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 431351259 to the nearest integer?\nAnswer: 20769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 131 - 127. Factor 4 - 262*w + d*w**4 + 262*w - 8*w**2.\nAnswer: 4*(w - 1)**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -80*g + 55*g + 200 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jqj when three letters picked without replacement from jjjjqqqjjjjjqq?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.2  (b) 3  (c) 1\/57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 33*s. Let c(w) = -4*w**2 - 5*w + 5. Let o = -118 - -116. Let d(t) = t**2 + t - 1. Let l(i) = o*c(i) - 10*d(i). What is q(l(f))?\nAnswer: -66*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2*1050822.\nAnswer: 210164.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 103 = 5*x - 3*v - 120, 4*x + v - 175 = 0. Let 8*j**2 + x*j**5 + 32*j**4 - 44*j**3 - 23*j**5 + 63*j**5 = 0. Calculate j.\nAnswer: -1, 0, 2\/7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4)\/3*-21*1. Suppose 2*z = -l + 4, 2*z - 4*z = 4*l - f. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minutes after 7:05 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 20799897 to the nearest integer?\nAnswer: 4561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (3 - -5) + 5 - 6\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -4*s. Is 231 - s - (-8)\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 231 - 231. Suppose -3*h + p*h + 9 = 0. Solve h*y - j = 6 - 1, 4*j = 4*y - 12 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 2\/15 of a hour?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/20)\/(143\/4290)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 plus -0.315?\nAnswer: -4.315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 39244927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1416071185 to the power of 1\/2, to the nearest integer?\nAnswer: 37631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -2, 38, 116, 244, 434, 698?\n\"Answer: 2*h**3 + 7*h**2 + 5*h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*x**5\/8 - 2729*x**4\/8 + 22065*x**3\/8 + 92005*x**2\/8 + 10113*x + 3421\/2 = 0. What is x?\nAnswer: -311, -2, -1, -2\/9, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 12*o + 17. Give v(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q - 45*y - 614 = 0, -14245*q + 14246*q + 4*y + 21 = 10 - 49 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 25 + -9. Let p be -4*4\/(-8) + -10. Let h(f) = f**3 + 8*f**2 + f + 10. Calculate the lowest common multiple of h(p) and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:35 PM and 9:41 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6.0743 - 5.99. Let z = s - 0.083931. What is z rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) 0.4  (c) 0.055  (d) 10  (e) 117.3  (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 862453 is divided by 431223.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 87 - 74. Suppose -3*v + 5 = 4*d, -5*d = -4*v + v - r. Find the second derivative of -58*g**2 + 9*g + 47*g**d + 16*g wrt g.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = 4*s - 0 - 39, 5*s + 5*a = 45. Let f be 2\/(-4)*(-13 + 25 + -16). Suppose -5*n = y - 383, -304 = f*n - s*n - 2*y. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**2 + 2*k - 1. Let s be d(1). Suppose 0 = -s*o + 5*o. Let r(n) = -n + 16. Let q be r(16). Solve 30 + q = 4*v - 2*g, 4*v - 4*g - 40 = o for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -145.801 to 0 decimal places.\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5558870948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 59*r**2 - 17*r + 142. Let u(t) = 118*t**2 - 31*t + 284. Let q(i) = -11*h(i) + 6*u(i). What is the first derivative of q(j) wrt j?\nAnswer: 118*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 12635 - 12639. Put 2, m, 16, 12, -5 in ascending order.\nAnswer: -5, m, 2, 12, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -449\/4 + 112. Which is the third smallest value?  (a) l  (b) 5\/7  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 44*z - 118*z - 122*z - 163*z to o + a*z and give a.\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h**3 + h**2 + h + 12. Let l be k(0). Find the second derivative of 26*d**3 + l*d - 7*d + 18*d wrt d.\nAnswer: 156*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*k - 2*u + 71 = -3*u, 35*u + 21*u - 53*u = 4*k + 142 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 219 - 155. Let y = f + -62. Let r be (-18)\/3 + (y - 0\/1). Let k(b) = -3*b - 2. Determine k(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1943a7 (base 15) to base 6.\nAnswer: 42203204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the third derivative of -1\/60*h**4 + 0 + 0*h + 11*h**2 - 1\/15*h**3 - 1\/100*h**6 + 1\/30*h**5. Factor g(k).\nAnswer: -2*(k - 1)**2*(3*k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -915, -3, 39, -4, 0, -6.\nAnswer: -915, -6, -4, -3, 0, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1*3)\/(4\/(-2)*4).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**(1\/2))**(-2\/173)*(u*u\/(u*u\/(u*u**(6\/31))))\/(u*u*u\/(u\/(u*u**16\/u))))**(-31) assuming u is positive.\nAnswer: u**(90226\/173)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -27\/2 + 15. Let n be ((-15)\/(-40))\/(2\/(16\/18)). Sort -2\/5, n, c in descending order.\nAnswer: c, n, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*g + 288 + 240 + 280 - 877 as x*g + p and give p.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1379.26149 and -12.5913?\nAnswer: 1391.85279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 2*x**3 - 6*x**2 + 7*x - 1. Let r be i(2). Solve 6*u = r*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3472bd - 1?\nAnswer: 3472bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2876*n**2 + 583*n**2 - 2009*n**2)*(3*n + 2*n - 4*n)*(2*n**2 + n**2 - n**2 + (2*n - 4 + 4)*(-5*n + 0*n + 3*n)).\nAnswer: 8604*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43*s**3 - 27*s**3 + 55*s**3.\nAnswer: -15*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*j**4 - 8*j**3 + 156*j**2 - 288*j.\nAnswer: -4*j*(j - 3)**2*(j + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = u - 3*u + 70. Let a(d) = -d**2 + d - 16. Let r be a(0). Let l = r + u. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 - 3\/(-2 - -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 22*(-26)\/(-143)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1135\/75 - 8\/60. Suppose -5*b - 22 = 2*o - o, 5*b - 5*o + 40 = 0. Let m = g + b. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (35\/30 - -6 - (10 - 3)) + (-339)\/(-18)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*q = -25*q + 4086 + 400934. Calculate the highest common factor of q and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(1 + 4*(5*sqrt(76)*-2 + sqrt(76) + sqrt(76) + -1 + 5 + sqrt(76))*3*2).\nAnswer: -97 + 336*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1496 + 1495. Is z at least 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 328 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0*(-4)\/(-12) - -1. Let k(v) = 4*v - 1. What is k(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y**3 - 20*y**2 + 35*y + 25. Determine f(18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 50 divide 397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 6993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -55*i + 2*i**3 + 3*i**3 - i**2 + 54*i + 2. Is 22 a factor of p(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.1  (b) -1.5  (c) 1  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 888000 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 91297765?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6878 and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 - 8. Let s = 7 + -2. Let k = u + s. Solve -4 = 3*h + 4*j + 10, k = 2*h + 3*j + 11 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is d475 (base 14) in base 7?\nAnswer: 211405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t**3 - 8*t**2 - 19*t - 7. Let z be l(-4). Suppose 3*u - 6*u + 4*g = -12, z*g = 0. Solve -2*k - 3*k - 5 = -5*m, -4*k - u = 5*m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve c = 3*t - 12, -t - 4*t - 2*c = -31 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 801 - 799. Which is smaller: w or -0.496?\nAnswer: -0.496","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 24323503.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Are 2\/5 and -3\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 10*q**2. Suppose 0 = -11*a - 5 + 27. Let k(p) = a*p - 12*p - p - p. Calculate i(k(n)).\nAnswer: 1440*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a - 3*l + l = 11, -14 = -2*a + 4*l for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2586\/7 + 370. Let p = -0.1 - -0.1. Sort o, p, 2.\nAnswer: p, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 25\/((-150)\/76) - -13. Let c = -2.8 - -1.8. Sort c, v, 2.\nAnswer: c, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3 + -2. Let m(z) = z**2 + 30*z + 163. Let u be m(-18). Sort -5, u, h.\nAnswer: u, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30375 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 21*k**2 + 11*k. Let y(o) = -11*o**2 - 6*o. Let m(l) = -l**2 + 23*l - 109. Let b be m(15). What is b*y(w) + 6*v(w)?\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: ((-195)\/(-20) + (-149 - -9)\/14)\/(16\/5440)\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xl when two letters picked without replacement from eunuolx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 172383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 12395?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1012356 a multiple of 732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - h = -1342 + 221, 233 = p - 2*h. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44495154 a multiple of 211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 3, r: 2, e: 3, h: 4, n: 2, q: 1}. Give prob of sequence rr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-4 - -1) + 178\/178)*1\/2. Sort 2, h, 116 in decreasing order.\nAnswer: 116, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1536 is divided by 120\/160 - 642\/(-8).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 3, w: 4, a: 1, i: 6, y: 2}. What is prob of sequence wg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -2*l + 19. Let p(x) = -5277*x**2. What is s(p(v))?\nAnswer: 10554*v**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.2021 - -0.2021. What is the closest to -2\/9 in 0.4, -4, o, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-9)\/5 + (-2)\/10. Let j be (u - 12\/2) + 1. What is the common denominator of -119\/20 and 102*((-7)\/(-44))\/j?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 43*l + 113*l - 32*l + (5 - 1 - 2)*(-3*l - 2*l + 6*l) + (2 + 2 - 1)*(2*l + l - 2*l) + 4*l - 4*l + l.\nAnswer: 130*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/(3 - 16\/5). Let v(k) be the third derivative of k**5\/30 - k**4\/4 + k**2. Let x(h) = 3*h**2 - 9*h. Let w(r) = y*x(r) - 8*v(r). Give w(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 2*k**2 - k + 10. Let s be x(0). Suppose 4*j - 124 = 4*f, -5*j - 14*f + s*f = -164. What is the remainder when j is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37829 divided by -7180?\nAnswer: -37829\/7180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -7*i**2 - 4. Let g(r) = 15*r**2 + 9. Let u be -3 + 2 - 6\/2. Suppose -43 = 4*o + 3*a - 13, 3*o = -4*a - 19. Calculate o*l(q) + u*g(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h + 2*h = 3*h. Suppose 3 = 3*r + 3*z - 4*z, h = 2*z. Which is bigger: -37 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -123, -118, -111, -102, -91?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l**2 + 5*l + 9. Let b be m(-7). Let s = b - 18. Suppose s*w - 168 = 92. What are the prime factors of w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 51*c + 23. Is l(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 2*h. Let i(j) = -246*j - 10. Let b(o) = -9259*o - 376. Let y(v) = 5*b(v) - 188*i(v). Determine y(n(m)).\nAnswer: -94*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-1086 + -4)\/(5 + (-2934)\/585)?\nAnswer: 2, 5, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 96 and 374112.\nAnswer: 374112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-5)\/(-1))\/5 - -381. Suppose 0 = 4*q - d - 94. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37875 divided by -505?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:56 AM and 5:46 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -301  (b) 4  (c) -20  (d) 0.4  (e) -8  (f) -0.1  (g) 1\/141\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -155 - -152.33. Let m = 6.36 + h. Let r = m + -3.6899833. Round r to six dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1994432 divided by -498608\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than -237002873?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in fifty-nine quarters of a millennium?\nAnswer: 1475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*k - 5*q + 43 - 18, 0 = -2*q + 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (44\/33)\/(1\/(-3)*1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence phpp when four letters picked without replacement from pnnpnhhpshprsnpn?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Add together -245 and -1793.\nAnswer: -2038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7*i**4 - 3*i**4 - 9*i**4 - 3*i**2 wrt i.\nAnswer: -456*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2796 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 59292 a multiple of 244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the third derivative of r**10\/50400 - r**6\/120 + r**5\/5 + 2*r**2. Let f(a) be the third derivative of y(a). Differentiate f(m) wrt m.\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1696 and 106.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 8 + -73?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 246*s - 114 + 31 - 292*s - 631*s.\nAnswer: -677*s - 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x - 2*x**3 + 5 + x**3 + 0*x**3. Let d(o) = -o**2 - 7*o - 6. Let l be d(-6). Give w(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*p + 3 = s + 23 - 3, 0 = -4*s + p - 68 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v = 2*s - 21 + 43, -5*v + 25 = -2*s for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1259\/4235 + -7\/605. Let v = 58 + -66. What is the nearest to -2\/7 in v, 2\/3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 5\/6  (b) -8  (c) 0.3  (d) -0.1  (e) 459  (f) 0  (g) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 29\/5 of a micrometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 663186937 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*p = 37*p + 4, -5*p + 1 = v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -268\/1125 + 2\/125. What is the closest to 2\/3 in -7, -2\/13, g?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -290, -648, -1006?\nAnswer: -1364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 988, 1074, 1160, 1246, 1332, 1418?\nAnswer: 1504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbbbbbaa. What is prob of picking 1 a and 1 b?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -p + p + p + (3 - 6 + 1)*(p - p + p) - 4*p + 3*p + 0*p + (446*p + 636*p + 67*p)*(-1 - 1 + 3 + (3 + 2 - 6)*(0 + 0 - 2) - 3 - 1 + 5).\nAnswer: 4594*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(612) + sqrt(612) + -1 + sqrt(612) - sqrt(612))*1 + -2)**2.\nAnswer: 24*sqrt(17) + 2449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -5 - 428*m - 1 + 6 + 2 in the form x + y*m and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 818872810?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 143604.\nAnswer: 2, 3, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 + -2 + -9 - 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the second derivative of v**4\/12 - 4469*v. Let d(z) = -30*z - 40. Determine d(y(i)).\nAnswer: -30*i**2 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p**3 + 2*p - 3. Suppose -3*z = 12 - 15. Let q(v) = 10*v - 7. Let c be q(z). Let m(a) = -3*a**3 + 6*a - 8. Calculate c*m(t) - 8*u(t).\nAnswer: -t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -170 + 169. Sort 2, i, 3 in decreasing order.\nAnswer: 3, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4364910 divided by 484990?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 62 is divided by 3\/((-4 - 31\/(-3)) + -6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1312.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -14 - -15. Sort -5, k, 5 in increasing order.\nAnswer: -5, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00002778 rounded to 6 decimal places?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -44  (b) -11.7  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 18 and 864.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 24, 7\/10 in decreasing order.\nAnswer: 24, 5, 7\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 2*c - 2*c - 13 = 0, 4*c = n + 7. Let g = 2583 - 2584.2. What is the nearest to 0.1 in g, -3, n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3.21 - 0.21. What is the nearest to 1\/4 in -1\/7, 0.2, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -57108 less than -57118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*w + 14*w + 36 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve d**3 - 74*d**2 - 75*d = 0.\nAnswer: -1, 0, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 82 divide 13940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5 + 7. Let i(b) = -2*b**n + 3 + 0 - 3. Let c(a) be the first derivative of a**3 - 2. Give i(c(d)).\nAnswer: -18*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 23*l + 4. Let x be u(-4). Let f be (-4)\/6 - x\/6. Suppose i + 3*y - 4 = -f, 0 = -i + 2*y. Which is greater: i or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -2  (b) 1\/4  (c) 0.15  (d) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u*u**(-4\/11)\/u*u*u)\/(u**(-12\/11)\/u))\/(u**(-8\/7)*u\/(u**0*u*u)))**6 assuming u is positive.\nAnswer: u**(2712\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -14940660 and -0.54?\nAnswer: 14940659.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 20 and 340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 9776 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 43416 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 32, 7, -80, -265, -584, -1073, -1768?\n\"Answer: -6*a**3 + 5*a**2 + 2*a + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 100143221 + 114?\nAnswer: 100143335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8.061996980362 + 3524.061995559362. Let o = 3516 - h. What is o rounded to 7 dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6585 + 21026. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -6400 + -4?\nAnswer: -6404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 76 divide 83877376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*n + 3*n - 2*n - n**2 + n + 3*n**3 in the form u + m*n**2 + g*n**3 + t*n and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + -2 + -10 + 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**3 + 6*l**2 - 4*l - 2. Let y(f) = 2*f + 30. Let p be y(-14). Suppose -3*x - 45 = -p*s + 7*s, 2*s - x = -7. What is the units digit of h(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1 + -313446621?\nAnswer: -313446620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 2*k + 17425 = 5213, 0 = -4*s - 4*k - 16276. Let q = -2376 - s. What are the prime factors of q?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 391, -3, -15 in decreasing order.\nAnswer: 391, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -47.2999998276 - -47.3. Round g to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 19038?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -78524*q**3 + 0 + 0 + 404411*q**3.\nAnswer: 325887*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 272*w**2 + 274*w**2 - 543*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-57012)\/531 + 2 - -2. Let n = -310\/3 - c. Is n >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -478 (base 9) to base 8.\nAnswer: -613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1185 and 2127?\nAnswer: 840165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/17, 6\/5, -5, -13, -2\/5 in descending order.\nAnswer: 6\/5, -2\/17, -2\/5, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*r = 10*r - 6*r. Which is the fifth smallest value?  (a) r  (b) 0.5  (c) 4  (d) -48  (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4*16230.\nAnswer: -6492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:13 AM and 2:30 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 11 in -4, 1\/2, 3, 2\/19?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*i**2 - 3*i + 7*i - 4*i.\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*o**2\/5 + 2548*o\/5 + 5088\/5.\nAnswer: 2*(o + 2)*(o + 1272)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2609*g**2 - 2609*g**2 - 395*g**3 + (0 + g**2 + 0)*(-2*g + 3*g + g) + (4*g**3 + 5*g - 5*g)*(-4 + 3 + 2).\nAnswer: -389*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 79 = 104*w + 25*w + 208 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-four fifths of a millennium in decades?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 838*q - 11. Let i(x) = 840*x - 13. Give 5*i(z) - 6*y(z).\nAnswer: -828*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/23 and 7\/61.\nAnswer: 1403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/30384 and 43\/40.\nAnswer: 151920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000029105378 rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = 115 + 38. Round m to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p*p**(2\/27)*p\/(p*p*p\/p**(-2\/39))*p assuming p is positive.\nAnswer: p**(8\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*w = -27*w + 4*t - 48, 0 = -4*w + t + 51. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-3\/8)\/w*w*w*(w*w**(-34)*w*w)\/w assuming w is positive.\nAnswer: w**(-251\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -16*a + 11. Let y(v) = 3*v - 2. Let h = 111 + -144. Give h*y(k) - 6*g(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:03 PM and 12:28 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12 - -15. Put 0, w, 4\/7 in ascending order.\nAnswer: 0, 4\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1882 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -693, -2304, -4145, -5526, -5757, -4148, -9, 7350?\nAnswer: 18619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/(2\/(-2)*-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/16 of a kilometer in millimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 764 - -590. Suppose -10*x + 676 = -a. Is x a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tddoyvvyhttd. What is prob of picking 1 d, 1 v, and 1 h?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -885*q**3 - q**2 + 113*q wrt q?\nAnswer: -5310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Are -87843264 and -87843263 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 33664, 33656, 33642, 33622?\nAnswer: 33596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 26, 38, 66, 116, 194?\nAnswer: 306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -8*((-15)\/6 + 2). Let l(b) = -b**2 + 7*b - 6. What is l(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 22.136 - 22. Let w = u - 0.094. Let y = -3.042 + w. Sort 3, y, 0.09 in decreasing order.\nAnswer: 3, 0.09, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 20910 and 18.\nAnswer: 20928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tttt when four letters picked without replacement from {t: 8, c: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 6*h + 3. Let x(t) = -t - 7. Let n(k) = -4. Let z(l) = 5*n(l) - 3*x(l). Let r be 3 - -4 - (16 + -6 + 15 + -16). Calculate r*i(p) + 5*z(p).\nAnswer: 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -18 - -32. Suppose 3*v + 3 = 4*c, 0*v - 9 = -v - 2*c. Let a = v + g. Does 17 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 11, f: 5}.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iedeedbbe. What is prob of sequence bdi?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 20*f - 25 = 15*f, 0 = 2*n + 5*f - 16. Let q(r) be the second derivative of r**3\/6 - 7*r**2\/2 - 2*r. What is q(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1588808, 3177617, 4766426, 6355235?\n\"Answer: 1588809*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-21)\/(-10)*88\/132.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -455604 (base 7) to base 9\nAnswer: -133403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 246205 to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(8)\/sqrt(4))**2*-6 + 1*(sqrt(72) + 0).\nAnswer: -8 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 22201, 22201, 22203, 22207, 22213, 22221, 22231?\n\"Answer: b**2 - 3*b + 22203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15276?\nAnswer: 2, 3, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 76044, 152088, 228132, 304176, 380220, 456264?\n\"Answer: 76044*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y - 1. Let q(d) = -6*d + 5. Let c(s) = 5*j(s) + q(s). Let o(a) = 4*a - 1. Calculate -3*c(x) - o(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (30\/(420\/1078))\/11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-6 + 408\/66)\/(3\/(-18))\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:35 PM and 2:21 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 305 is divided by 39?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32811984?\nAnswer: 2, 3, 23, 9907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -0*w - 3*s - 14, 4*w - 45 = s. Let y be (w + -10)*(1 - 8). Is y >= -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 186 minutes before 3:13 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3719089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the first derivative of k**3\/3 - 4*k**2 + 3*k - 13. Let v be j(5). Is -326*2\/v*3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h - 4. Let z(q) = 2*q - 8. Suppose -4*p = p - 5, -25 = 4*w - 5*p. Let r(f) = w*j(f) + 3*z(f). What is r(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -46 - -140\/3. Let o = 14 + -14.7. Let p = o + 3.7. Which is the third biggest value?  (a) 2  (b) y  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 9*o**2 - o + 2. Give w(4).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2c5 (base 16) in base 3?\nAnswer: 222021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*f**3 + 7*f**3 + 0*f**3 + 1 + f**3 - 1 + (-4*f + 2*f + 0*f)*(-2*f**2 + 4*f**2 + 0*f**2).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 4*y - 1. Let s(u) be the third derivative of -u**4\/8 - u**2. Let a(d) = -3*s(d) - 2*w(d). Let z be (5\/1)\/(-1)*1. Calculate a(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -b**3 - 2*b - 3 + 21*b**2 - 21*b**2 + (12*b - 12*b - 4*b**2)*(-2*b + 8*b - 2*b).\nAnswer: -17*b**3 - 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*b + 4*b + 15 = 0. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (117\/6 + -2)*4692\/(-2737).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 103\/48 and 37\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -1854863.61 to the nearest one thousand.\nAnswer: -1855000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**3 + 38419*i**2 + 23756387*i + 3702542417.\nAnswer: (i + 313)**2*(i + 37793)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 941 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 1522*t - 1711. Let h(n) = 7622*n - 8550. Let c(x) = 6*h(x) - 28*o(x). What is the derivative of c(u) wrt u?\nAnswer: 3116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61180033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 54.98 + -56. Let f = 1.42 + v. Let d = -0.08 + -3.92. Which is the closest to 1?  (a) d  (b) f  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -112, -141, -190, -259, -348, -457?\nAnswer: -586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 1024*r**5 + 84864*r**4 + 123332*r**3 - 2636184*r**2 - 2085516*r + 21053520 = 0. Calculate r.\nAnswer: -81, -5, -4, 57\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(0 + -1*((sqrt(242) + 1)*2 + sqrt(242) + sqrt(242)*2*-5 + sqrt(242))*4)*-1.\nAnswer: -32 + 1056*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 51*b - 3471. Give j(68).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 63 = -3*d + 447, -d - 4*w + 176 = 0. Let z be (1\/3)\/(21\/(d\/16)). Let n = -7 - -6.7. Put n, z, 0.2 in decreasing order.\nAnswer: 0.2, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 677*k = 711*k + 204. Let d = -22 + 31. Let b be -6*k\/d + -2. Solve 0 = a - 0*u + u - 3, b*a + 3*u = 7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.2188 and -3086?\nAnswer: 675.2168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3112.8719 + -1.1281. Which is the second smallest value?  (a) o  (b) -5  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -v**3 - v**2 - v + 5. Let p = -5 + 4. Let t be (p - -1)*(-4)\/8. What is h(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -4*i**2 + 117*i + 1158. What is n(-8)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let -4252*j**5\/5 + 8498*j**4\/5 - 848*j**3 - 6*j**2\/5 = 0. What is j?\nAnswer: -3\/2126, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 456 minutes after 2:04 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 141 and 1128.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 312334929*w**2\/2 - 20323950*w + 661250 = 0 for w.\nAnswer: 1150\/17673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 47205 and 6885.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2928342 is divided by 233?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 > -93009576?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 913*g - 914*g - g**4 - 2*g**3 - g**2 + 4*g**3 + 1 to m*g**3 + x*g + y*g**2 + i + s*g**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*i = -52*i + 2*v + 17, 4*v = 4*i - 28 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4\/21 in 66\/19, -3\/7, -4\/7, 5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: 1128.1 times 0.5\nAnswer: 564.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 535 minutes after 11:37 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 707*z**2 + 1499 + 1491 + 182*z - 2990 + 948*z wrt z.\nAnswer: 1414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62*q = 63*q - 10. Suppose 7075 = q*f + 105. List the prime factors of f.\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1221201 (base 3) to base 6\nAnswer: -10331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6106)\/71 - -80)\/(2\/(-23)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -164 = 9*x - 794. Suppose 62*o + 126264 = x*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (3*-1*sqrt(19) + sqrt(171) + 2 - (3 + -4 + sqrt(19) + 0)).\nAnswer: -sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -2*p - 9. Let t(c) = c + 8. Let l(x) = 4*q(x) + 5*t(x). Give l(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 12 - 10. Suppose -3*s + 24 = -3*o, -h*o + 14 = 2*s + s. Calculate the lowest common multiple of s and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 5592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**6\/j*j**(-3)*(j**(-1\/4))**(-31\/4))**(-50) assuming j is positive.\nAnswer: j**(-1575\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -350*a. Let f(w) = 7*w**2. What is o(f(t))?\nAnswer: -2450*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i**2 + i + 5. Let u be a(4). Let d(y) = -y**2 - 8*y + 22. Let n(g) = g**2 + 9*g - 23. Let x(b) = 3*d(b) + 2*n(b). Does 3 divide x(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -6  (b) -0.1  (c) 26\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -3*i**2. Let h(f) = -913*f. Give m(h(a)).\nAnswer: -2500707*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8 - -3) + 6 + -4 + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = -19 + 7. Let z be (-6)\/(-8) - 1413\/1716. Let q = z + 5\/22. Which is the second biggest value?  (a) p  (b) q  (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 8*r + 35. Let x be d(-4). Suppose 11 = x*c + 5*m, 2*m + 31 + 39 = 5*c. Suppose -t - 3*t + 432 = 0. Calculate the greatest common divisor of t and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1 - (4 - -47))\/(-2). Suppose -3*o + r = -19. Solve -5 = -2*c - o for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 13 + -8. Let k(q) = 3*q - 16. Calculate the lowest common multiple of k(6) and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 151 is divided by 61.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, r: 1, v: 1, m: 2}. Give prob of picking 1 v and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -10\/19 or 417\/5?\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v + v + v)*(-1 + 6 - 2)*(-v - 3 + 3)*(-9*v + 17*v + 4*v).\nAnswer: -108*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 43355172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*d - 3*d + d)*(-d - 3*d + 8*d)*(81 - 23 + 133) + 6*d**2 - 3*d**2 + 0*d**2.\nAnswer: -1525*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000047674 rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5987998364 rounded to four decimal places?\nAnswer: 0.5988","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -d**3 - 15583*d**2 - 61715288*d - 7819530956.\nAnswer: -(d + 131)*(d + 7726)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -4, 0.1396, 5 in decreasing order.\nAnswer: 5, 0.1396, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -6404, -1, 0.4, -93?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that -3*j**2 - 300*j - 1425 = 0.\nAnswer: -95, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0307 to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 16) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 194*i - 19625516 - 12553973 = -137*i. Is i 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 2619 and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes before 10:20 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 595379319 to the nearest integer?\nAnswer: 24400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 3*d**3 - 32844 - 3*d + 32843 - 2*d**2 - 3*d**2. Calculate c(-3).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2232525 a multiple of 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -11 + 7. Let i = b - -4. Is (-1)\/(i - (-3)\/(-18)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2 - ((-2 - -5) + -4). Suppose x + 2*o + 10 = 0, -7*x + 15 = -3*x - k*o. Solve x = 5*i + 3*n + 10, 6*n = 2*i + n - 27 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 182455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3919, 22, 2, -3, 0 in decreasing order.\nAnswer: 22, 2, 0, -3, -3919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2.7 - 8.3. Let m = v + 15. Let s = -24.9 + 25. Which is the closest to s?  (a) -2  (b) m  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7.2?  (a) -1\/3  (b) -2  (c) 7  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 36094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (-4 + 17 + (-13 - -4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 7*z**2 + 16*z + 2. Suppose 7*h + 88 = -h. Is c(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*r + 10*r - 3*a = 15, -a = -5*r + 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 596996 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 0 - 18 - (-1143 - -1106)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 21355462, 21355478, 21355494, 21355510?\nAnswer: 21355526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 137, 570, 1285, 2276, 3537, 5062, 6845?\n\"Answer: -i**3 + 147*i**2 - i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 19\/4 of a meter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -8*y + 14. Let p(z) = 3*z - 5. Let j be (-4 - -7)\/(1\/2). Calculate j*i(t) + 17*p(t).\nAnswer: 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 19\/14 and -111\/1666?\nAnswer: 1666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 32882 by 561.\nAnswer: 32882\/561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 134 and 16473223?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -1716 * -303.6\nAnswer: 520977.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*a + 10*a + 3*a.\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.20381 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -1727 divided by -11\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes after 9:50 PM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:12 AM and 6:08 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3 + -d1dc8a2?\nAnswer: -d1dc89e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8670 and 630?\nAnswer: 182070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -56 - -58. Solve -5*r - 5 = 5*l, d*r = 5*l + r + 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 264 - 444?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 449, 453, 457, 461?\n\"Answer: 4*i + 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -6 - 5 - 5*j + 5. Is g(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 - -1.2. Let v = -6 - -9. Suppose 0 = -5*d - 15 - 10. What is the nearest to v in 2, g, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - (5 + -6))\/(5 + -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbe when three letters picked without replacement from bbe?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 163 + 168 - 14*o**2 + 12*o**2 - 3*o - 345 as n*o + p*o**2 + r and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -165 - -75. Let p(m) = 46*m**2 - 3*m - 3. Let o be p(4). Let t = o + d. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -21*l - 3*l + 0*l + 3 + l**2 - 32 + 1. Let i be s(26). Which is bigger: 25 or i?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -37 - -15. Let m = 45 + o. Suppose 5*s - 609 - 303 = 4*l, 178 = s - 3*l. What is the highest common factor of m and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -441 and 12580?\nAnswer: -5547780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 51 a factor of 4766728473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13798 - 13798 - 5*z**3.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 49.104 + -49. Let h = -0.048 + i. What is h rounded to three decimal places?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the first derivative of -3364\/3*v + 72 - 1\/9*v**3 + 58\/3*v**2. Suppose m(j) = 0. Calculate j.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-77)\/(22098\/(-261) - -81)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 2, 830 in descending order.\nAnswer: 830, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 170 minutes before 10:47 AM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1079, 1088, 1111, 1154, 1223, 1324?\nAnswer: 1463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2 - 121300341122?\nAnswer: -121300341120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*c = -11*c - 120. Suppose 0 = -10*f + 5*f + c. Solve 0*z - 4*z - f = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 204375, 410735, 617095?\n\"Answer: 206360*p - 1985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4311655118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 42 and 935928.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -11*o**2 + 98*o + 123. Let k be s(10). Solve 0 = 2*x - k*j - 11, -4*x + 6*j = 4*j - 10 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - (9 - 2)) + (-5 - -19 - 14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11011 (base 2) to base 11.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) -0.1  (b) -0.08  (c) 15.44336  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8551 - 8549. Let m(a) be the first derivative of -1\/15*a**3 - 49\/5*a + 25 - 7\/5*a**v. Factor m(i).\nAnswer: -(i + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 243952, 243951, 243950, 243949, 243948?\n\"Answer: -p + 243953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.212555 times 0.13?\nAnswer: 0.28763215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 20418467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22891561?\nAnswer: 7, 11, 19, 15647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36920584.\nAnswer: 2, 4615073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*i + 3*i - k + 5, 4*i - 5*k + 25 = 0. Let b(f) = f**3 + 2*f + 22. Let g be b(i). What is the highest common factor of g and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 8, 6, -6, -34, -84?\n\"Answer: -o**3 + o**2 + 2*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.4 in -2\/13, 36\/11, 1\/5, -488?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-2\/11))**(-12)*((k*((k\/(k\/(k\/(k\/k**(-2\/5)*k)*k))*k)\/k)\/k)\/k)\/(k\/(k\/k**(9\/2))) assuming k is positive.\nAnswer: k**(-409\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (156\/(-546))\/(4\/14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 3*s + 72 = 5*s, 272 = 4*z + 4*s. Suppose 9*t - 5*t = z. Let f(v) = -v**3 + 17*v**2 - 15*v - 10. What is the least common multiple of 18 and f(t)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 - (5 + -30) - 25?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) 5  (c) 2  (d) 0.73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*a**2 + 56*a**2 + 56*a**2.\nAnswer: 86*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 1880*o + 10. Determine t(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 381292*x**3 + x**2 - 12513*x + 1?\nAnswer: 2287752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1)\/(-2) - (-18)\/(-4). Suppose 0 = 36*w - 23*w. Let f = -17 + 17.3. Which is the smallest value?  (a) z  (b) f  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*b = -12*b - 845. Let x = b + -59. Solve -2*f = 4*f - x for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*p = 61*p + 57*p - 9191 for p.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2327955540?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2933 - 2671. What is the remainder when y is divided by 71?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -25, 5*n + 9*k = 6*k + 65. Calculate the remainder when 98 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x + 8. Let a be n(6). What is the least common multiple of (3 - (-6)\/(-3))\/((-1)\/(-22)) and 3 - -2*13\/a?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5555*q = -5551*q - 20. Solve 40 = -q*s + 2*d, 9*d - 5*d = 3*s + 38 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*d + 0*d + 0*d)*(3441*d**2 + 3458*d**2 - 6896*d**2 - 1394*d) as f + x*d + q*d**3 + t*d**2 and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8317, 66260, 223503, 529684, 1034441?\nAnswer: 1787412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-6))\/(64*(-24)\/(-25344))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 6 - 1b92?\nAnswer: -1b89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -1, 0.4, -0.04, 3, -0.25, -3199\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 3*p - 0*p. Let m = -493\/5 - -99. What is the nearest to 0.1 in p, 0.3, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*i + i + 15. Let m(v) be the third derivative of 1\/15*v**i + 0*v**4 + 0 + 0*v + 2*v**2 + 2\/3*v**3. Differentiate m(k) with respect to k.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/18)\/((-11)\/(-33))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/83?  (a) 0  (b) 0.5  (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 73 a factor of 60955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1468\/15 - 2\/15*x**2 - 98*x.\nAnswer: -2*(x + 1)*(x + 734)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2895 and 11025.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -184ffa (base 16) in base 13?\nAnswer: -43a306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -24 + 21. Sort h, -4, 6.\nAnswer: -4, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 222824 and 2088975?\nAnswer: 16711800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*3*(sqrt(363) + sqrt(363) + 2 + sqrt(363) + 1 + sqrt(363) - (-4 + (sqrt(363) + -1 - sqrt(363))))*4)**2.\nAnswer: 101376*sqrt(3) + 845568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1047309174*n*q + 1123908143*n wrt q.\nAnswer: -1047309174*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 269480643?\nAnswer: 3, 89826881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jvoo when four letters picked without replacement from vjjooovjjjovov?\nAnswer: 50\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 87*y**3 - 94*y + 43*y + 51*y.\nAnswer: 87*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1068722*t**3 - 8479600*t**2 + 560256*t - 9216.\nAnswer: -2*(t + 8)*(731*t - 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-26) + (-88)\/65.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3\/(1\/(-6)*-9). Suppose 2*k = 5*a - 16, 2*k - v + 8 = 0. Solve 1 - 3 = -a*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 409 + -386. What is the remainder when 177 is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -999711 or -999715?\nAnswer: -999715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -17, -40, -67, -98?\n\"Answer: -2*s**2 - 17*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1040*c**6 - 8*c**2 - 644*c.\nAnswer: 124800*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q + 1 = -z - 2, z + 3 = 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-1\/2)\/(d\/(d\/(d*d\/d**(1\/4)*d))))\/(((d*d\/(d*d**(-1))*d*d)\/d*d)\/(d*(d\/(d*d*d\/(d**3*d))*d*d)\/d*d)) assuming d is positive.\nAnswer: d**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -78, -241, -504, -861, -1306, -1833, -2436?\nAnswer: -3109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6 (base 15) to base 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**2. Let s(k) = k**2 + 10*k. Let i(f) = -2*f**2 + 2*f. Let g = -767 - -762. Let u(m) = g*i(m) + s(m). Determine c(u(x)).\nAnswer: 121*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -146 at most -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1198, -1201, -1206, -1213, -1222?\n\"Answer: -d**2 - 1197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -14667 - -21597. Is 7 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2211222 + -10?\nAnswer: 2211212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 222*n + 17223 = -567*n + 4599 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m**3 - 5*m**2 + 4*m + 2. Let f be x(4). Suppose f*g - 2*q - 6 = -3*g, 3*q = -5*g - 9. Let w be g\/(-1 - (0 + -3)). Does 0.9 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - s = -3, s + 2 = 5. Suppose z - 23 - 12 = c. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7746?\nAnswer: 2, 3, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from igug. What is prob of sequence iggu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -14501 divided by 7577?\nAnswer: -14501\/7577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44*b - 27*b + 72*b + 437 - 429.\nAnswer: b + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4, 1.5, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 66 and 30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in three fifths of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -18 + 30. Solve 0 = -3*a + 3*l - b, 4*a + 4*l + 18 = -6 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -98 - -126. Suppose 0 = -3*r + 17*r - c. Which is greater: r or 5\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 160*k = 158*k + 22. Let -74 + 5*a**3 - 4*a**2 - k*a**2 + 15*a - 65 + 134 = 0. Calculate a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**2*i**(2\/7))**(-1\/23) assuming i is positive.\nAnswer: i**(-16\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**3 - 6*h**2 - 2*h - 3. Let w be y(-6). Let n(d) = -3*d - 3*d + d**3 + 5*d - 9*d**2 + 9. Let u be n(w). Solve 5*i - 2*i - 2*l = u, -i = 2*l for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -18*q**3\/7 + 2444*q**2\/7 - 82688*q\/7 - 18496\/7.\nAnswer: -2*(q - 68)**2*(9*q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1b3 + 2099?\nAnswer: 2290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 7*o - 9. Suppose -13 = 3*x + 8. Let u be p(x). Round u to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4977 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 79006730723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 89825 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2173444 by 13.\nAnswer: 167188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6580140?\nAnswer: 2, 3, 5, 7, 15667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 10\/3 - (-2)\/(-6). Let z(f) be the third derivative of -f**5\/60 + f**4\/24 - 43*f**2. What is z(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 63430\/34377 and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 67*n + 4*n**3 + 67*n - 3*n**2 - 116*n**4 - 13*n**3 + 7*n**3 - 16*n wrt n.\nAnswer: -2784*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 921134, 921058, 920982, 920906?\n\"Answer: -76*r + 921210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2050 = 13*c - 3*c. Let k = 611\/3 - c. What is the smallest value in -0.5, -48, k, -2\/7?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10001010 - -1111010?\nAnswer: -10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zdvv when four letters picked without replacement from {v: 3, m: 1, h: 2, z: 1, y: 2, d: 6}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 1511*h - 216487. What is a(143)?\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*w**(-6)*w)\/w)**26)**(-29\/5) assuming w is positive.\nAnswer: w**754","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8*s**2 - 3*s + 4*s + 8*s wrt s.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -134*f. Let u(b) = -12670 + 12670 + 21*b**2. What is g(u(k))?\nAnswer: -2814*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3716159212.\nAnswer: 2, 1297, 716299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -11*b**2 - 3*b. Let c(u) be the second derivative of u**4\/12 - 2*u - 10. Give z(c(l)).\nAnswer: -11*l**4 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1662498 and 17442?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 times 437\nAnswer: 131.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from dddddddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 58, 131, 214, 313, 434?\nAnswer: 583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 32641 = 5*s, a + 0*a = -3. Let u(l) = 63*l + 129. Let d be u(-2). Suppose -d*g + s = 1718. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**2 - 2*c - 3. Let n be g(4). Suppose -6 = 5*p - 5*r - 1, -n*r = -4*p - 1. Are p and -4 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sse when three letters picked without replacement from eseeeesseseseessssse?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -a + 8. Let z be (a*2\/4 - -2)\/(-1). Factor 2\/3*d**3 + z*d - 1\/6*d**4 + 0 - 2\/3*d**2.\nAnswer: -d**2*(d - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g**3 - g**2 + g + 11. Let m(z) = z**2 - 3*z - 2. Let c be m(3). Let t = c + 2. What are the prime factors of d(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 68276 - 11265488\/165. Let n = k - -1\/55. What is the closest to 3 in 1\/6, n, -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.621781km in meters?\nAnswer: 621.781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0 - (1 + 12\/(-4) - 0). Suppose 48*v - x = 47*v. Let g(f) = -f**3 - f**2 + f - 1. Let q(m) = 3*m**2 - 2*m + 2. Determine v*g(s) + q(s).\nAnswer: -2*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (-l**2 - l**2 + 3*l**2)*(1 - 3 + 0) + (-31*l - 27*l - 37*l)*(3*l - 4*l + 3*l) in the form o*l**2 + p*l + r and give o.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (4\/10)\/(2\/(-80)). Let n be ((-12)\/b)\/((-1)\/(-20)). Suppose 0 = 4*d - n - 21. Solve -2*c + d = -5*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -3*n - 25. Let b(f) = 7*f + 51. Let m(r) = -4*b(r) - 9*q(r). Let j be m(17). Solve c = j*c + 3*t + 3, 3*t = 3*c - 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*b - 5*b - 420. Calculate the remainder when b is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(45) + sqrt(5))*4.\nAnswer: -3 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the third derivative of s**7\/105 - 2*s**6\/15 + 8*s**5\/15 - 13*s**2. Determine d so that o(d) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*o**4 + 5*o**4 - 3*o**2 - 2*o**2 + (4 - 4 + 2*o)*(2*o**3 + 1 - 1).\nAnswer: 3*o**4 - 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - 5*y = 5*o - 45, 0 = y + 5. Let x(a) = a**3 - 13*a**2 - 12*a - 30. Let k be x(o). Let m = -3 - -2. Which is smaller: k or m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r + f - 4, -3*r - 2*f - 3*f - 16 = 0. Suppose -89 = -6*k + 1. Solve 2*i - 13 = r*n, 2*n + k = 5*i - 12 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-8)\/(-5)*(21\/(-63) + 10070\/60). Calculate the highest common factor of d and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 + 1011010001?\nAnswer: 1011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1098617086 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fsu when three letters picked without replacement from uffzzsuzjgfgg?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, 2\/3, -4, -2\/23, -2 in decreasing order.\nAnswer: 2\/3, -2\/23, -0.4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (19*(-248)\/107198*(-195)\/6)\/(1\/21).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/(-9) + (-12664)\/36. What is the smallest common multiple of 8 and ((-1)\/2)\/(8\/m)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3007834.\nAnswer: 2, 113, 13309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.016 at least as big as -3901?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a**2\/2 + 791*a\/2 - 396 = 0. Calculate a.\nAnswer: -792, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3409.3 + -3637. Let m = l + 3.7. Let c = m - -223.99026. Round c to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (876 - 793) + -75 + 8\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-43)\/(-172)*(-408)\/(-255).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -33*i*l*u**2 - 13*i*u + 5*i - 4*l**2*u**2 + 219*l**2 wrt u?\nAnswer: -66*i*l*u - 13*i - 8*l**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2011 + -11201011011?\nAnswer: -11201020022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 17.2 + -17.1999748. Round m to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = 2*s + 16 - 42, 0 = 5*j + 4*s - 40. Suppose j + 0 = i. Suppose -22 = -i*h + 6. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 73 * -0.03\nAnswer: -2.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 44232\/(-1552)*4\/6.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(19) + 2 + sqrt(76)\/sqrt(4))**2 - ((sqrt(133) + sqrt(133) + sqrt(133)*2 + sqrt(133))*-5 + sqrt(133))\/sqrt(7).\nAnswer: 80 + 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 18246 - 200708\/11. What is the biggest value in r, 19\/6, 1\/5?\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1222819*b - 3*b**3 + 1222819*b.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g - 24 = -7*g + k, -27 = -5*g - 2*k for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1331863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*r + r - 3*r)*(-r**2 + r**2 + r**4) + (-r**2 + r**2 + 2*r**3)*(-9*r**2 + 0*r**2 + 3*r**2).\nAnswer: -11*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-105)\/2849 - (-16)\/(-296).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 179236905 divided by -5\nAnswer: -35847381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that 5*k**4 + 1575*k**3 - 21160*k**2 + 52380*k - 32800 = 0.\nAnswer: -328, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 237703 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {x: 4, y: 3, j: 4, h: 5, n: 1, u: 1}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by 1432658?\nAnswer: 2\/716329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2 - (-3 + 4 + 0). Let f = 47 - 44. Let s = 1.1 + -1.3. What is the closest to l in s, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-9)\/(-6)*564\/9. Suppose -3*y = -x + 10, 4*y + a = 5*x - 0. Suppose -d - 5*f = x, -1 = -5*d + 4*f + 5. Is -6\/11 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*u**2 - 2 + 9*u**2 - 9*u**2 + 1 as d + l*u**2 + g*u and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-340)\/85)\/((-21)\/336).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5724914*g**2 - 1127554*g wrt g.\nAnswer: 11449828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the first derivative of 4*y**2 - 22. Let b(v) = v. Determine g(b(w)).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**3 - d**2 + d. Let i(r) = -4*r**3 - 10*r**2 + 2*r - 6. Let l(z) = i(z) - 3*o(z). What is the units digit of l(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5 + 12. Suppose 98 + 3 = 5*u - 2*i, 4*u - 4*i = 76. Calculate the highest common divisor of z and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - 2)*(-2 + 1 - 1)*(-28*n**4 + 28*n**4 + 14*n**5) + (-4*n**4 + 0*n**4 + 3*n**4)*(n - n + n) + 0*n**5 + 6*n**5 - 4*n**5.\nAnswer: 57*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 6*v + 280 = 0. Let i be 8\/(-10) - (-616)\/v. Let g = -8 + i. Sort -3, g, -5 in descending order.\nAnswer: g, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6964487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 88392 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r**2 + 4*r + 18. Let c be p(7). List the prime factors of c + (-243)\/(-15) + 1\/(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2799 (base 13) to base 14.\nAnswer: -2115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7)\/(14*-3) + (-184)\/(-48) + 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-72)\/(-160)*(-11 - (-1515)\/135)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the first derivative of -81*x**5\/20 - 45*x**4\/2 - 118*x**3\/3 - 20*x**2 - 4*x - 189. What is k in j(k) = 0?\nAnswer: -2, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -42.0912 less than 1.5?\nAnswer: 43.5912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 18773 + 732?\nAnswer: 20615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 235*l + l**2 + 22 - 235*l.\nAnswer: l**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 minutes after 9:35 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 + 0 = -2*j. Suppose 23*x - 27*x + j = 0. Let i(n) = n**3 + n**2. Let y(u) = 3*u**3 - 2*u**2 + 4*u - 1. Let l(v) = -2*i(v) + y(v). Determine l(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000241440768 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-6)\/21 - (-37)\/7. Suppose a*f = -97 + 17. Let m = f + 24. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 12630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 559220809*p**5 - 1288104980*p wrt p?\nAnswer: 11184416180*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 0.7527582 centuries?\nAnswer: 903.30984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-5 + sqrt(21)\/sqrt(3)).\nAnswer: -3*sqrt(7) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z**2 + 2*z + 1. Let c(n) = -4*n**2 + 19*n - 65. Let b(j) = c(j) - 5*r(j). Let o be b(5). Solve o = 5*f + 4*h - 16, f + 2*h = -2*h for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*w + 5 = 73 + 22 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/7 <= 231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**2 + 6*b - 3. Let s be -3*(0 + -1)\/(-1 - -2). Let r(i) = -4*i + 6. Let z be r(s). What is c(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16\/(-372)*81\/54?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - (-3 - (0 + (-3 - -4)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20576582 divided by -23.\nAnswer: 894634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/(-1)*(1 + -14). Suppose 4*l - s = -m, -m = -2*l - 0 - 1. Solve -h - l = 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 7*o + 6. Let y(d) = -3*d - 3. Let w(a) = -2*n(a) - 5*y(a). Suppose -5*h + h = 16. What is w(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -14977, -14980, -14983, -14986?\nAnswer: -14989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 29715 + -29693. Let c(i) = 3*i**2 - 71*i + 114. Determine c(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1437500\/6*(-94 + -2). What is h rounded to the nearest 1000000?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 32744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*a**3 - 39249*a**2 - 117708*a + 156960.\nAnswer: -3*(a - 1)*(a + 4)*(a + 13080)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the third derivative of j**6\/120 + j**5\/60 + j**4\/24 - j**3\/3 - 11*j**2. Determine p(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 42*y + 1. Suppose 0 = 4*g - 2*g + 2*r - 30, -5*r + 25 = 0. Suppose -g = 5*t - 65. What is the remainder when l(1) is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 33\/44 + 1*18\/8. Suppose -l + f = 2. Calculate the greatest common divisor of l and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000015369 rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 67414835?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5 + -3. Let u = y - -10. Factor 13*h**2 + 2*h**2 - 10*h - u*h**3 + 3*h**4 + 4*h.\nAnswer: 3*h*(h - 2)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 10) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 20 in -1, 0.2, -1\/6, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 3*h - 10 = 0. Let s be 4\/6 - 1\/3. Let v = 443\/13 + -3961\/117. What is the closest to s in 4, v, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*y + 41 = -23. Is -1.4 greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 18  (b) -5  (c) 156  (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -109195\/4908 - 2\/1227. Let b = -1 + 0. What is the common denominator of m and (b - 27\/2) + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4, -0.5, -93, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -5*f**2. Let t(n) = -1800*n. What is t(q(m))?\nAnswer: 9000*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.04 in 0.1, 0.66, 2\/15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 215*c - 3. Let q be v(-1). Let o = q + 382. List the prime factors of o.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x**2 - 14*x - 1108. Let k be m(41). Which is the closest to 3\/8?  (a) -5  (b) 5  (c) k  (d) 4\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*o + 3*o + 39322467*o**2.\nAnswer: 39322467*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -3228 (base 15) to base 3\nAnswer: -112120002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = -4*b + 4, -b - q = -5 + 7. Suppose 5*x = b*x - 3*k + 66, -3*x + 71 = 4*k. Find the first derivative of 2*i**2 + i**2 - 9*i**2 + x wrt i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 2, f: 7, p: 8, v: 1}. Give prob of sequence eeff.\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 70655281 is divided by 194.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -576 - 3*q - 3*q + 5*q + 577652*q**3 - 577651*q**3 as b*q**3 + n + w*q + f*q**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 7466020.7 rounded to the nearest 100000?\nAnswer: 7500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40*u - 141 = -30 + 329 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -2*u - 5. Let i(b) = 442*b + 722. Let k(a) = -i(a) - m(a). Differentiate k(f) with respect to f.\nAnswer: -440","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) 4  (b) 5  (c) -43\/7  (d) -3\/4  (e) 5.3  (f) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 21 * -0.2\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-1 - -4)\/(9\/264) is divided by (-3)\/7 - (-29583)\/1211?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 64, 66, 68, 70, 72?\n\"Answer: 2*n + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**5 + 2853*u**4 - 2707478*u**3 + 849189710*u**2 + 5179515927*u + 4327615885.\nAnswer: -(u - 953)**3*(u + 1)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 412904837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-702)\/(-126) + (-4)\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -2*d**2 + 9*d - 7. Let c be o(6). Let m be (-2)\/(-6) - c\/15. Let a(t) = -t - 5*t - m*t + t. Let k(u) = -6*u. Determine -5*a(p) + 6*k(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 248821?\nAnswer: 248821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 4*b - 2*b - 1 = 0, 0 = 4*i + 2*b - 16. Let a(h) = -h - h - 4 + h**2 + h. Let n be a(i). Solve -5*m + p - 8 - 16 = 0, 0 = n*m - p + 9 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -70417, -70678, -70939, -71194, -71437?\n\"Answer: y**3 - 6*y**2 - 250*y - 70162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 0.1, 7, -1, 736379 in increasing order.\nAnswer: -4, -1, 0.1, 7, 736379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9609171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5189.\nAnswer: 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 c when two letters picked without replacement from jcwfffwjcf?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 + -1. Let l = 0 - s. Suppose l*r = 3*t + r - 37, -4*r = -t + 21. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10001422414 (base 5) to base 9.\nAnswer: -20378632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-2*sqrt(88) - sqrt(88))*-4 + sqrt(88))*-6)\/(sqrt(72)\/(sqrt(27)\/sqrt(3))*2) + -4.\nAnswer: -39*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 - (9 + 3 + -2 + 5 + -3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 25209 and 161645710.\nAnswer: 1454811390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 6*sqrt(12).\nAnswer: -1 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2*(-1)\/30)\/(9205\/(-16569))?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 783889 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6 - -11. What is the third biggest value in j, 1, -1, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 62312635 a multiple of 805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 24 + 36. Let j = 3336 - 3324. What is the highest common factor of j and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 154 = 22. Let t = 92 - s. Does 17 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 708 minutes after 4:58 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2116084846?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -29*d**2 - 8348*d - 23663. What is h(-285)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -10.0765802 rounded to zero dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 19449*f**3 + 3715*f**2 wrt f.\nAnswer: 116694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qtbbiiyqbiqbiqbbii. Give prob of picking 1 t and 3 b.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes after 4:44 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = 12, -s + 26 = -3*c + 4*s. Let d(v) = 12*v**2 + 2*v + 1. Let u be d(c). Let l = 12 - 3. What is the greatest common divisor of u and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 2\/41?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -18986, -18982, -18980, -18980, -18982, -18986?\n\"Answer: -h**2 + 7*h - 18992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -44125.49 times -0.3\nAnswer: 13237.647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:13 PM and 6:43 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 351071936?\nAnswer: 2, 5485499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1064\/(-190))\/(-28)*95?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -4*l**3 + 14*l**2 - 5*l - 4. Let b be z(6). Let x = -374 - b. What is the greatest common factor of x and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19752283 to the power of 1\/3, to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 211\/1050 and 97\/210.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -40, -278, -674, -1228, -1940?\nAnswer: -2810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 484  (b) -230  (c) 1  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the first derivative of 0*b**2 + 0*b - 1 + 2\/3*b**3. Let d(o) = -10*o - 2. Let t(r) = -270*r - 55. Let y(n) = 55*d(n) - 2*t(n). Calculate s(y(w)).\nAnswer: 200*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkkkkkkkk. What is prob of sequence kk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -17904, -17856, -17808?\n\"Answer: 48*h - 17952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 100*o**2*r**3 + 3667*o**2*r + 6*o*r**2 - 241539353*r**3 + 2 wrt o?\nAnswer: 200*o*r**3 + 7334*o*r + 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 2*u - 7 + 18 - 5 - 3. What is n(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -239405932930110 - 0.5\nAnswer: -239405932930110.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put together 38.6 and -52.\nAnswer: -13.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5168 = -580*j + 732*j for j.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -636423, -5, -1 in descending order.\nAnswer: -1, -5, -636423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1482 is divided by 1299.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*q + 5003 + 1707. Let k = -609 - q. Calculate the remainder when 369 is divided by k.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 * -20\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2551*g + 1623 - 1623.\nAnswer: 2551*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -2*c**2 + 65*c. Let p(o) be the first derivative of 2*o**3\/3 + 270. Calculate p(v(h)).\nAnswer: 8*h**4 - 520*h**3 + 8450*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 14, d: 5}. Give prob of sequence ddtt.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 488288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 81495 is divided by 139.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -8*u**2 + 3*u**2 + 6*u + 4*u**2 + 7. What is y(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes before 7:33 PM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1253303 to the power of 1\/2, to the nearest integer?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 2*t - 10*t + 6 - 4 - 3. Is v(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 + (-7)\/((-7)\/204) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*x - 4*x = 6*f + 942, 3*f - 9 = 0. Calculate the highest common divisor of 64 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -2\/7, 0.2, -255.47 in increasing order.\nAnswer: -255.47, -2\/7, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -17582242 less than -17582243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 640 is divided by 38?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 47, 53, 55, 53, 47, 37, 23?\n\"Answer: -2*a**2 + 12*a + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**3 + 15*t**2 + 26*t + 1. Calculate k(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -8*q**3 + 10*q**2 - 33*q + 6. Let m(s) = 2*s**2 - 4*s + 1. What is 10*m(t) - 2*z(t)?\nAnswer: 16*t**3 + 26*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 453012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/7 of a week in hours?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -r**2 - r + 16. Let j be h(5). Let w = j - -17. List the prime factors of (0 + 1)\/(w\/111).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -5*w**2 - 3*w + 2. Let r(m) be the first derivative of -m**3\/3 - 5. Give 6*r(j) - y(j).\nAnswer: -j**2 + 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 8 = -c. Suppose -142*r = 14*r - 11383 - 5. What is the remainder when r is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:28 PM and 8:34 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1327 divided by -51?\nAnswer: -1327\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = 5*g + 7*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the second derivative of -k**3\/6 - 151*k. Let m = -9 - -2. Give q(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/(-1))\/(2\/4)*(-5676)\/(-1548).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + k - 3*s + 6 = 0, -15 = -5*k - 2*s. Let b(f) = f + 3. Let y be b(k). Suppose -32*q + 31*q + 9 = 0. What is the greatest common divisor of q and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*p + 44*p - 2*w = 11, 2*w - 13 = -3*p. Solve 46*h + 2 = -2*r + 44*h, 4*h = -3*r - p for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 140\/21 + (-14)\/(-6). Solve -p + 3*h - y = -17, -18 = 6*h for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -f**3 + 5*f**2 - 12*f + 18. Determine c(6).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y**(8\/9)*y)\/y)\/y*(y**(-35)\/y)\/y*y)\/((y*y**33\/y)\/y*y**(1\/50)\/y) assuming y is positive.\nAnswer: y**(-30209\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -3*u**2 - 288*u + 1202. Let i be j(-100). Solve -i*m + 1\/4*m**2 + 7\/4 = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the second derivative of 88*c**3\/3 - 7*c**2\/2 + 13*c. Is f(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1  (b) 0.5  (c) -124.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-26)\/10 - (-2 + 0). Let n = -0.0378 - -0.4608. Let i = -0.477 - n. What is the second biggest value in p, -0.5, i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**3 - 15*t**2 - 16*t - 11. Let x be m(-14). Suppose 13*w = x*w + 180. Let y = w + 865. What is y rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 303631262 a multiple of 975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(200) + (sqrt(200) - 2*sqrt(200)) + sqrt(200))\/sqrt(10) - sqrt(320)*5)\/(sqrt(160)\/sqrt(4)*-2*5).\nAnswer: 19*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -128 or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -500716, -1001390, -1502016, -2002588, -2503100, -3003546, -3503920?\nAnswer: -4004216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.07  (b) 1  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1bb + 105?\nAnswer: 2c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -332376, -663911, -995446, -1326981, -1658516?\n\"Answer: -331535*d - 841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xss when three letters picked without replacement from xuxisiussitxsixuix.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-42)\/15 + 3)*-2. Which is the third smallest value?  (a) -9\/2  (b) -1\/3  (c) h  (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00661427563 to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1.5  (b) 1\/6  (c) 1\/2  (d) 3\/5  (e) 40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -1, 7, -11, 2.\nAnswer: -11, -1, 1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 8470 = 34*j. Let k = 326 - j. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 330 and 698665.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 271 - 1079\/4. Which is the nearest to 1?  (a) -3\/2  (b) -2\/23  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 + -120112?\nAnswer: -120113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2264 is divided by 2247.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 527402560 divided by -91120.\nAnswer: -5788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 747869, -89.\nAnswer: -89, 4, 747869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + z - 4434 = 0, 0 = -2*v - 3*z - 776 + 2547. List the prime factors of v.\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h - 11. Suppose 0 = 3*l + 2*l - 2*m + 48, -5*l - 56 = -4*m. Let c = -6 - l. Suppose -3*a - c*i + 15 = i, -2*a + 3*i = 15. Give b(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 - 1. Let h(l) = -2*l - 30. Let n(m) = m - 1. Let c(x) = -h(x) - 3*n(x). Is c(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19441805 a multiple of 1333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**3\/6 + 1016*g**2\/3 - 2033*g\/6.\nAnswer: g*(g - 1)*(g + 2033)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 55\/36 and 79\/288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15*(-6)\/(-135)*6\/(-22).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -231800.110009 - -231800. Let x = h + 0.11. Round x to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 899*k**3 + 364*k**3 + 833*k**3.\nAnswer: 2096*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by 59?\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 82 and 127510?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -3*r**2. Let z(l) be the third derivative of -l**4 - 14*l**2. Calculate z(b(s)).\nAnswer: 72*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-3 + ((3*sqrt(165)*4)\/sqrt(3))\/((sqrt(385)\/(1*sqrt(7)))\/sqrt(11)))**2.\nAnswer: -72*sqrt(11) + 1590","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f - 25 = l, 0 = 294*f - 299*f - 4*l - 70 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 563813974?\nAnswer: 2, 47, 227, 26423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that 5*f**5 + 30*f**4 - 80*f**3 = 0.\nAnswer: -8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 3468 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -2487776 smaller than -2487198?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 2 times -12.47\nAnswer: -24.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the second derivative of 0*h**2 + 3*h + 0*h**3 + 1\/48*h**4 + 0 - 1\/80*h**5. Determine m so that r(m) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h\/(h\/h**(-14))*h**(6\/7)\/h*(h\/((((h\/(h\/(h**(2\/7)\/h)))\/h)\/h)\/h*h)*h)**(-44) assuming h is positive.\nAnswer: h**(-1551\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 107 - -208. What is the highest common factor of 140 and v?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7030 - 5095. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 31253 + -34?\nAnswer: 31215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -6.72 and -0.03.\nAnswer: 0.2016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 898703 and 219.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-222)\/70 - 4\/10. Let q = c - -3. Do -1 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -231. Let l(b) = -b + 229. What is -4*d(n) - 3*l(n)?\nAnswer: 3*n + 237","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -383 + 292.4. What is h rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -3 - -28 - (0 - 4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 144*h + 616 + 161 + 231 = 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2797, 1297, 8123, 17681?\nAnswer: 29971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -345 + -317. What is w rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 + 8. Which is smaller: k or 10?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3772386?\nAnswer: 2, 3, 69859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:37 PM and 11:47 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 227098.\nAnswer: 2, 271, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 47730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*l + 20*l - 12*l.\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -5*f - 4. Let k(i) = -16*i - 13. Determine 2*k(d) - 7*m(d).\nAnswer: 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -82*b**2 - b*s**3 - 5*b*s**2 - 46*s**3 - s + 5 wrt b.\nAnswer: -164*b - s**3 - 5*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6053.794 - 111318.79375. Let j = -105222 - w. Let o = -43 + j. What is o rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o**2 - 6*o + 2. Let h be i(6). Let b = -9 + 13. Suppose -t = 2*w - 4, -5*t + 20 = -346*w + 347*w. Solve -20 = b*y + 3*z, -y + z - 3 - h = w for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 56 + -19. Suppose 25 = -5*l, 2*l = -5*o + 188 + a. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(-1 + sqrt(19)*-2 + 3 + 2*sqrt(19) + (-2*sqrt(76))\/sqrt(4)*-6)*3)**2.\nAnswer: 1728*sqrt(19) + 98640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -0.64, 3, -213.5 in increasing order.\nAnswer: -213.5, -1, -0.64, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.9 take away 3131?\nAnswer: -3131.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (0 + 8\/(-14))\/((-1)\/7). Suppose -3*l + 55 = a, -2*a - t*l = -5*a + 113. What is the highest common factor of 473 and a?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**2 + 5*k + 8. Let f be j(-6). Let s be (-5)\/(-7) + 4\/f. Let y be 7\/((-14)\/(-12)) - s. Sort -2, y, 0 in descending order.\nAnswer: y, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 978\/(-60) + (-78)\/(-260)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 68.53035l in millilitres?\nAnswer: 68530.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 47 - 75. Let q = u - -156. Is q a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-1)\/2)\/(4\/(-88)). Let k = 14 - m. Find the second derivative of 2*u**2 + u + k*u**2 - 3*u wrt u.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 3, t: 17}. Give prob of sequence ttvt.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 24962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 plus -1756707.08399316?\nAnswer: -1756707.28399316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7543?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 199423 is divided by 211.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 - -e94?\nAnswer: e8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-1007)\/(-3420) - (-5)\/(-4) and 1\/35?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1*(-4 - (-14)\/7). Sort 0, 36, j, -1 in increasing order.\nAnswer: j, -1, 0, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = -5*t - 719, -2*t = -3*t + 5*f - 163. Let z = 395 + t. Is 41 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -29, -373785, 3?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 532 is divided by 528.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = k**3 - 58*k**2 + 515*k + 167. Does 116 divide b(48)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 - (1 + 4 + 5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.005, 6, -16, 3, -48, 5 in decreasing order.\nAnswer: 6, 5, 3, -0.005, -16, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -14480 - -47247. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1069242 divided by 13.\nAnswer: 1069242\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) be the third derivative of b**6\/120 + b**5\/15 + b**4\/6 + b**3\/6 + 3*b**2. Suppose 2 = -q - 1. What is r(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2 and 441622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 108*f**2 + 22*f + 7. Let u(v) = -5*v - 103. Let c be u(-19). Is h(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -658*c**2 - 660*c**2 - 40*c - 13*c**2 + 1333*c**2.\nAnswer: 2*c**2 - 40*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 80\/(-8) + 540\/50. Which is the closest to 0?  (a) -210  (b) -1  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l - 38 - 17. Suppose 4*h - 4*m + 4 = 0, m - l = -4*h - 0*h. Solve 7*p - 20 = h*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.024579891 rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -b**3*k**3 - 11*b**3*k*n + b**3*k + 2*b**2*n + 3*b*k**3*n + 3*b*k**2*n - 2*k*n wrt k?\nAnswer: -6*b**3*k + 18*b*k*n + 6*b*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -89254407 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*j - j + j - 149.\nAnswer: -2*j - 149","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -4*g**3 + 2*g**2 + g + 2. Give i(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in one fifth of a minute?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**2 + 6*j - 6. Suppose n + 7 = 1. Let y(h) = h - 1. Let b(m) = n*y(m) + x(m). Let w(r) be the second derivative of -r**4\/12 + 2*r. What is b(w(o))?\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -310557 less than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8 (base 16) to base 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the third derivative of -75*y**8\/112 - 41*y**7\/14 - 99*y**6\/20 - 41*y**5\/10 - 15*y**4\/8 - y**3\/2 + 139*y**2 - 19. Solve s(h) = 0 for h.\nAnswer: -1, -1\/3, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27 - 13 - 274*z - 11.\nAnswer: -274*z - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.018 times 905?\nAnswer: 16.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express r**3 + 502*r**2 - 56*r**2 - 184 + 185 in the form l*r**3 + x*r + a*r**2 + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 71.695 rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 22 + -7 - 32 - -31\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/641  (b) 2  (c) 38\/17  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-119)\/28 + (-2)\/(-8). Let y = -4 - a. Solve y = 4*j - 0 - 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1\/7, 2, -0.3, 0.02656 in descending order.\nAnswer: 2, 0.02656, -1\/7, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5182 and 86?\nAnswer: 222826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = -3*x + 7, -k - 13 = -5*k + 5*x. Suppose -3*m - 5*h + 21 = 8, 0 = m + 4*h - 9. What is the lowest common multiple of (0 - -2) + 5 - m and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7 - 6. Suppose -t = -2*w + 3. Let d be ((-2)\/3*9)\/w. Put 0.3, 4\/3, d in decreasing order.\nAnswer: 4\/3, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -450 divided by -30\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 5\/4 of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-r - r + r)*(-3*r + 0*r + r)*(961*r - 3 - 5 - 965*r) to the form f*r**2 + y + o*r**3 + z*r and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 + 13 = 5*g. Suppose 2*k + g = 4*k. What is the remainder when 50 is divided by 1 + -3 + k - -17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**3\/7 + 6970*u**2\/7 - 12110300*u\/7 - 121801000\/7.\nAnswer: -(u - 3490)**2*(u + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59*i + 62*i - 129 = 0. Suppose -i + 115 = -12*b. Do 3 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.0794 from -0.5.\nAnswer: -0.5794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16)\/(-30)*(-36)\/(-2592)*108?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 7, -2\/3, 4.508, -0.5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.78 - 0.02. Let b = -11247 - -11246. What is the smallest value in b, v, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -62504525 + -5508263.\nAnswer: -68012788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8*168\/(-128)*1*(-14)\/63.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 491426350 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 12 = 4. Let v(k) = 6*k**3 + 2*k**2 - 10. Let a(r) = 7*r**3 + r**2 - 10. Let i(z) = 5*a(z) - 6*v(z). Is i(c) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1458671987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3165 - 3092. Solve 4*w = -p + 65 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 - -3. Suppose 0 = -3*y - 5*g - 22, -26 = 5*g - u. What is the units digit of 90\/40 + y\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the third derivative of q**8\/2800 + 3*q**7\/700 + 3*q**6\/200 - 2*q**3\/3 - 13*q**2. Let i(m) be the first derivative of s(m). Factor i(b).\nAnswer: 3*b**2*(b + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the first derivative of -d**2 + d + 5. Suppose 4*c = -2*g - 40, 4*c - g - 2 = -30. Is 16 a factor of v(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 466 + -22. Suppose d = 163*j - 169*j. What is j rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vwvvfvf. What is prob of picking 1 v and 2 f?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 85*f. Let q(t) = -587*t + 5 + 1149*t - 563*t. Determine o(q(g)).\nAnswer: -85*g + 425","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2912529582.\nAnswer: 2, 3, 293, 184081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -22 + (29 - (17 + 2)) - -14.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -102*d = -2875 + 835 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the third derivative of 19*j**4\/2 + 23*j**3\/3 - 136*j**2. List the prime factors of h(5).\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 2*p**3 + 29*p**2 - 126*p - 7. Let u be r(5). What is the second smallest value in 3, u, -0.3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4*(-3)\/2*2\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 597 and 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -198 = 10*s - 13*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k + 4*j + 6, 2*k - 4*k + 5*j = -6. Suppose 2*a - x = 21, -x - 5 = -0*x. Suppose -a*m + k*m = -175. Is 16 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 20 = -4*b, -s + 28 = 5*b + 3*s. Suppose b*y + y = 0. Suppose 2*x + 102 = 3*r + 3*x, y = 4*r + 5*x - 125. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 18140792698.2 - 89.\nAnswer: 18140792609.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5536*m**2 + 1880*m**2 + 1892*m**2 + 1772*m**2 + m.\nAnswer: 8*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 12*a**3 + 1. Let m(d) = -d**3 - 1. Give -6*m(f) - u(f).\nAnswer: -6*f**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((((1 + sqrt(1700))*-4)**2 + sqrt(1700) - sqrt(1700) - sqrt(1700)) + -5 - (1*(-3 + sqrt(17) + sqrt(17)) - (sqrt(612) - sqrt(17))*-5)**2).\nAnswer: 944*sqrt(17) + 29618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 4, q: 2, p: 7}. Give prob of picking 1 v and 1 q.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*a - 6 = -6*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -s**2 + 164213*s - 812175 with respect to s.\nAnswer: -2*s + 164213","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6 + 2. What is the least common multiple of (-12)\/8*(-8)\/6 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3302 - 6.\nAnswer: -5.6698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.04 * 189945996.\nAnswer: 7597839.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8.15 + -8. Let x = 1.85 + k. Which is the smallest value?  (a) x  (b) -1  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (3\/9 + -1)*(-314)\/4. Let k = g + -52. Suppose -2*x + 3*b - 4 + 11 = 0, 3*b - 23 = -4*x. Put x, -15, k in descending order.\nAnswer: x, k, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -110 + 111. Calculate the common denominator of ((-693)\/(-24))\/((-9)\/6) and i + 55\/(-4) + (-4)\/(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20.1047 kilometers in millimeters?\nAnswer: 20104700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -29*o**6 + 40*o**4 - 6489*o**3 - 26342*o**2 + 1024.\nAnswer: -3480*o**3 + 960*o - 38934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (6\/(-9))\/(622\/207 - 3). Let g = z - 44. Round g to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1302.40213016 - 1313.40213. Let o = b + 11. Round o to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3274605 divided by 654921.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*q**2\/3 + 520*q\/3 + 16900\/3.\nAnswer: 4*(q + 65)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -4*h - 0*h + g, -2*h - 3*g = 4. Suppose -2*n + 11 = -3*n - 2*o, 0 = 4*n + 3*o + 24. Put 1, h, n in descending order.\nAnswer: 1, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 265968 to the power of 1\/2, to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 613 - 612. Solve 4 + p = -c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 5*r - 135 = 0, -4*l + 166 = 3*r - r. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 + 3 - 17*i**3 + 2 + 33*i**3 - 12*i**3 - 1.\nAnswer: 4*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -57*b*f**2*p**3 - 17*b*f*p**4 + 3*b*f - 68*b*p**2 - 6*f**2*p wrt p?\nAnswer: -342*b*f**2 - 408*b*f*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12057*k - 5823*k - 5657*k to n + u*k and give u.\nAnswer: 577","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f. Suppose 3*x + 1 = 4*n - 2, x = -4*n + 15. Suppose n*v - 40 = -v. Let d(r) = -5*r**2 + 4*r**2 - r**2 - v*r**2. Determine o(d(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3595.02 microseconds to nanoseconds.\nAnswer: 3595020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1690 less than -2.8?\nAnswer: -1692.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -210*z + 116495405 = -145*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 84171773 = -3*n - 212528227. What is n rounded to the nearest one million?\nAnswer: -99000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -28*d + 2. Let b(a) = -1619 + 55*a + 705 + 909. Give 2*b(c) + 5*u(c).\nAnswer: -30*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -8*f**2 + 8*f + 5. Suppose -l = -3*h + 25, -4*h - l + 32 = -2*l. Let w(o) = -5 - 7*o + 1 + h*o**2 + 0*o. Calculate 6*q(k) + 7*w(k).\nAnswer: k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve t - 19 = 6*d - 3*d, -2*d = 4*t - 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 11  (b) -1\/6  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11 + 23.5. Let c = -12 + u. Let k = 1.7 - -0.3. What is the smallest value in k, -3, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 425967427.\nAnswer: 425967427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(121)*2 + sqrt(121))*-2)\/(sqrt(176)\/sqrt(4)).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 24617802 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: Let k = -29 + 25. Let o be 35 - (k\/(0 + -4) + -1). Suppose 0 = 4*v - 12, -146 + o = -a + 5*v. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -71 + 137. Let z = h + -20. 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: Let q(b) = b**2 - 26*b + 36*b - 18 + 5. Give q(-10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/(385\/(-2)))\/((-67)\/(-469))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1686.6 * -89\nAnswer: -150107.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (17499 + 321*j - 17499)*(-2*j - 2*j + 3*j)*(2 - 4 + 3) as q + d*j + b*j**2 and give b.\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 934942 is divided by 21742?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 947 is divided by 85.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 4607510779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19 - (-7 + 3 + 18 + -1 + -6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1212\/(-81) - 1\/27?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -334, -669, -1012, -1369, -1746, -2149, -2584, -3057?\nAnswer: -3574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -2*b**3 - b**2 + 2. Let i(c) = -c**3 + 2. Determine -2*i(r) - 2*y(r).\nAnswer: 6*r**3 + 2*r**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (70*(-20)\/(-420))\/((-10)\/12*(-57 + 56))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 2*c - 16. Let z be h(10). Suppose 9*i = 5*i + z. Sort 13, 4, i in descending order.\nAnswer: 13, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 81a80a (base 12) to base 7.\nAnswer: 23152612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 2*u = -4 + 3, 0 = 5*i - 5*u + 35. Let k be ((-222)\/(-30))\/((-1)\/i). Let d = 67 - k. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5.06 - -5. Let l = -7.94 + w. Let u = l - -8. Which is the second smallest value?  (a) 1\/6  (b) u  (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1473542480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 102029582 to the power of 1\/3, to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w**4 + w**4 + w**4)*(-1481 - 1103 - 1401 - 185 - 53).\nAnswer: -12669*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 times 48?\nAnswer: -19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.85 - -2. Let t = 367904 - 367904.2. Which is the second smallest value?  (a) 0.3  (b) -4  (c) u  (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s and 1 w when three letters picked without replacement from {s: 3, w: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t + 14 + 16. Suppose 0*y + 20856 = t*y. Suppose -4*c + y = -v, -c + v = -3*v - 869. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1884679153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -198 - -218. Calculate the greatest common divisor of z and 1400.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15 - (-12)\/(-6)) + -1*7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 826 divide 10869334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -12370 - -12370.05167. Let q = d - 0.00773. Let i = 0.044 - q. What is i rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 84884871 to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11 + -15. Let v = 8 + o. Put -3, -4, v in descending order.\nAnswer: v, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(11) + 0 - sqrt(11)) + sqrt(11)*-2*-5 + 4.\nAnswer: 5 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(378) - sqrt(378)*-3))\/((sqrt(240)\/sqrt(4))\/sqrt(10)*3).\nAnswer: 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**3 + 2*n**2 + 67*n - 238. Calculate k(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 139855831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26429580?\nAnswer: 2, 3, 5, 359, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(2) + -2 + 1 + sqrt(2) + 5 + (sqrt(150)*6)\/sqrt(3)))**2.\nAnswer: 2304*sqrt(2) + 18576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 6 = 3. Let v be q\/(62\/(-114))*(-16)\/96. Let a = v - -2219\/93. Calculate the common denominator of a and -63\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 5 = 0, -340*w + 344*w = 3*u - 179. Solve -u*x + 24 = -53*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/480 and -85\/48?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**3 - 7*y**2 - 10*y + 15. Calculate w(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a year in months?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/9*4665\/(-622)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -8*o**2 - 1. Let l(b) = 7*b**2 + 1. Give -5*l(p) - 4*n(p).\nAnswer: -3*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2261847 and 192.\nAnswer: 144758208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 3\/8 of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1387 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-152361)\/(-107730) - (10\/(-4) + 4)?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -181839, -181888, -182011, -182244, -182623, -183184, -183963?\n\"Answer: -6*j**3 - j**2 - 4*j - 181828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -2*j**2\/3 + 11752*j\/3 - 17263688\/3 = 0?\nAnswer: 2938","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (22 - 16)*1\/(-2). Let t(f) be the second derivative of -f**3\/3 - 2*f**2 + 64*f. What is t(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -18 + 10. Is -8 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**3 - 5*f**2 - 4*f + 6. What is the remainder when 2\/((2\/23)\/1) is divided by q(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -672600 divided by -5\nAnswer: 134520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1573 and 29766?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -741, -1478, -2213, -2946, -3677, -4406, -5133?\n\"Answer: s**2 - 740*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2320 and 106285.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61*s + 8*p - 22 = -56*s, 0 = -4*s + 3*p - 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add -5.6308175 and -2533091.\nAnswer: -2533096.6308175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -343 + 354. What is the third derivative of 141*a**6 - 50*a**2 - r*a**6 - 257*a**6 wrt a?\nAnswer: -15240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*c - 3*c + 2*c + (c - c + 2*c)*(-39 - 19 - 64).\nAnswer: -241*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*p = p + 170. What is the remainder when p is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**2 - 34340*b.\nAnswer: 2*b*(b - 17170)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the second derivative of 1\/12*t**4 - t - 11\/2*t**2 + 0 - 1\/2*t**3. Is s(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 1689*z**2 + 558*z**2 + 544*z**2 + 557*z**2.\nAnswer: -30*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gv when two letters picked without replacement from agfgggvgggtggtgftg.\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 108, 95, 82, 69?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2844 + 7 + 6\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 n when two letters picked without replacement from {z: 1, w: 1, t: 3, j: 1, n: 6, c: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6521 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 3, -8047, -5, -0.5 in descending order.\nAnswer: 5, 3, -0.5, -5, -8047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 times -0.036\nAnswer: -0.0072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -9*x + 25. Suppose y = x*y. Which is the nearest to y?  (a) -0.5  (b) 2  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-27900)\/(-105) - 2\/(-7). Let n be l\/4 + 24\/(-16). Suppose 35 = 3*m - z, 2*m = -0*z + 5*z + 6. What is the highest common factor of m and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**(-3\/4)\/c)\/(c\/c**(21\/5)) assuming c is positive.\nAnswer: c**(49\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 85 a factor of 11554338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -24 in 3\/14, -0.3, 10, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 l when two letters picked without replacement from {t: 2, x: 2, l: 1, n: 8, e: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 6 = 3*w, -4*w - 8 = -4*g - 32. Suppose 3*u - 47 = -4*v, w*v + 25 = 5*u - v. Solve u = -2*z + 5*z, -3*i = -5*z + 18 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the second derivative of -v**7\/315 - v**6\/540 + v**5\/45 + v**4\/36 - v**3\/3 + 6*v. Let o(y) be the second derivative of q(y). Factor o(u).\nAnswer: -2*(u - 1)*(u + 1)*(4*u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.16 + 0.14. Let w be 7*1\/9 - 1. Let l = -0.2 - -0.3. Which is the closest to l?  (a) -1  (b) g  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 72 and 24696.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1\/50 + -23\/100. What is the third smallest value in u, -0.5, -0.018?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes before 9:55 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Are 314818 and 314819 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3251*x - 817*x - 816*x - 811*x - 809*x + 213*x**2 to q + a*x + f*x**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Is -19905\/4 at least -4977?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5694 - -5697. Let s(m) be the first derivative of 0*m + 2\/21*m**w - 1\/7*m**2 - 4. Factor s(g).\nAnswer: 2*g*(g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 158*a**3 + 17*a. Let f(o) = -53*o**3 - 6*o. Calculate 17*f(i) + 6*v(i).\nAnswer: 47*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n = -3*b + 1 - 24, 4*b = 5*n + 16 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 10}. What is prob of picking 4 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6.447 - 1.447. Which is the second smallest value?  (a) 1  (b) v  (c) -1  (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes after 7:07 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h + 9 - 4. Suppose -2*o = -h*o - 3, -4*y + 1481 = 3*o. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes before 2:51 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2 - 0) + -1 - 3. Let k be 16\/l*(-12)\/8. Solve -s = -x + 4, 0 = -5*x - k*s - 6 - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -424505405 (base 6) to base 16.\nAnswer: -7284ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -10259*z**3 - 5*z**2 - 5*z - 19 wrt z?\nAnswer: -61554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -5 - -4*3\/(-6). Let q be (-10*1)\/(a\/14). Suppose 5*b + 5*i - q = 0, 2*i - 20 = -5*b + 5*i. What is the remainder when 6 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in eleven halves of a year?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**3 - 17*c**2 - 28*c + 169. Give g(18).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 5\/((-15)\/(-9)) - 3. Suppose -2*n + 7*n + 25 = f. Let c(x) = -x**2 - 3*x + 7. What is c(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(45) + -1*(sqrt(135)\/sqrt(3))**2).\nAnswer: -15*sqrt(5) + 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*z + z**3 + 2*z**2 + 2*z**4 + 2*z**3 + 6*z - 2 to u*z**3 + y + a*z + j*z**4 + d*z**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 461 or 26\/9?\nAnswer: 461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 t when two letters picked without replacement from hthiithidhhh?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8222 - 10762. Let o be ((-4)\/(-6))\/((-16)\/r). Let q = o - -6. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -73, -142, -211?\n\"Answer: -69*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 minutes after 12:24 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -8*t - 94. Let s be p(-17). What is the highest common divisor of 21 and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -8*q + 3. Let g(z) = z**3 - 3*z**2 - 3*z + 10. Let s be g(3). Let w be f(s). Let d(y) = -y**3 - y**2 + y + 2. Does 30 divide d(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 v and 1 x when four letters picked without replacement from {o: 1, x: 2, v: 4, j: 6}.\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*f = 3*f + 4*f - 133110. Is f a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the third derivative of 751*f**7\/35 + 19*f**4\/24 + 25*f**3\/6 + 3218*f**2. What is the second derivative of u(t) wrt t?\nAnswer: 54072*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 74 = 6*k - 4*k - 5*u, 97 = 3*k - 4*u. What is the remainder when 208 is divided by k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 1226*f**2 + 15*f - 27. Determine g(-1).\nAnswer: 1184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 18095?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1800 + 1800. Let u = -41 + 20. Let h = u - -43. What is the biggest value in n, 0.1, h, -3\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -969613219 + 969613219 + 7*x**3 - 3*x**2.\nAnswer: 7*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 20*c**2 - 2. Let g(v) = -82*v**2 + v + 10. Determine 2*g(b) + 9*i(b).\nAnswer: 16*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1131338346 a multiple of 7151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 33464060 to the nearest ten thousand.\nAnswer: 33460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 369 is divided by (-88)\/40*5 - -20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -3324*x + 210. What is the tens digit of f(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000140729 rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -5, -0.3, 2\/13, 9 in descending order.\nAnswer: 9, 1, 2\/13, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6 + 3. Let y(z) = -3*z - 2. Let t be y(2). Let q = s - t. Is q a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ifiiiftuuef. Give prob of sequence ef.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3291072 and 4758?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 31342.92t?\nAnswer: 31342920000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1108367*q**2 - 1585682?\nAnswer: -2216734*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -193967*j. Let x(o) = -2*o. Give l(x(v)).\nAnswer: 387934*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r**2 + 4*r**2 - 5*r**2. Let x(k) = -35*k**2 + 8*k - 80. Let c(w) = 22*w**2 - 5*w + 50. Let o(u) = -8*c(u) - 5*x(u). Calculate m(o(d)).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-4368)\/(-14976) - 6\/(-16)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2185)\/(-20) + (12\/16 - 1). Calculate the greatest common factor of c and 1199.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4764 + 0*(20\/(-8) - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*r**3 - 114762 + 229768 - 4*r - 114715.\nAnswer: -2*r**3 - 4*r + 291","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 95?  (a) 0.2  (b) 2  (c) -1  (d) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = w**2 - 6*w - 6822. Let p be i(-81). Solve -12*o - p = -261 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -265 + 252.9. Let d = -12.3 - v. Let q = 1159\/9 - 129. Which is the closest to 0?  (a) -2  (b) d  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*(-4)\/(-32)*(-42120)\/(-1053)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 5725225*-0.5\nAnswer: -2862612.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12792 - -89543\/7. Which is the third smallest value?  (a) 1  (b) u  (c) -0.005  (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4\/10 + (-10871)\/(-35).\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -36, 4, -1916 in descending order.\nAnswer: 4, -36, -1916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -4*i**2 - 6. Let y(o) = 9*o**2 + 13. Let t(x) = 13*d(x) + 6*y(x). Let p(f) be the third derivative of -5*f**4\/12 + 4*f**2 - 13. Calculate t(p(z)).\nAnswer: 200*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1888?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 4238789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u. Let o(s) = 7*s + 2. Let q(p) = 6*l(p) + o(p). Let b(f) = -26*f**2 + 25*f**2 - 2*f - 4 - f. Give 2*b(k) + 5*q(k).\nAnswer: -2*k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is ba73 (base 12) in base 11?\nAnswer: 14479","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1081139*f - 1081139*f + 51 - 2*f**4 + 144*f**2 to the form b*f + h + c*f**2 + r*f**4 + v*f**3 and give h.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*t + 18*t = -156 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 160, 683, 1556, 2779, 4352?\nAnswer: 6275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 less than or equal to -2\/426569?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 855, 1637, 2301, 2799, 3083?\nAnswer: 3105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 2*t + 5. Let g = 10 - 5. Suppose -5*d + g = 3*f - 12, -2*f = -3*d - 5. What are the prime factors of q(f)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 7*w = -3*w - 13453, -5*a = w - 22399. What is the thousands digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7 - (-8 - -13)) + -4 - (7 + 0).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 22 = -12. List the prime factors of ((108\/3)\/2)\/(4\/h).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 187*u - 351*u - 3*u**2 + 177*u - 1. Let j be y(4). Factor -9\/2 + 4*k**j + 12*k - 1\/2*k**4 - 11*k**2.\nAnswer: -(k - 3)**2*(k - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 * -5.3.\nAnswer: 15.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {q: 1, u: 2, x: 6, i: 3, f: 4}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3\/(-6)*(1 - 1). Let c = f + 2. Solve 4*l = -5*r + 30, c*l = -2*r + l + 9 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 3*x**2. Let q(n) = 11*n + 13. Suppose 0 = -8*y + 3*y - 30. Let p(s) = 5*s + 6. Let i = 40 - 27. Let f(w) = i*p(w) + y*q(w). Calculate v(f(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -3*n - 2*n - 9445, 3*s = -4*n - 14178. Are s and -4730 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.1  (b) 4  (c) -49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 = 5*z + 61. Let j(l) = l**2 - 2*l - 33. Let t be j(z). Do t and 2 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {n: 1, i: 1, y: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/4*(-12)\/20?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (22\/176)\/(((-3666)\/(-376))\/(6\/2))?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five halves of a meter in centimeters?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3512, -7134, -10832, -14606, -18456, -22382?\nAnswer: -26384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -21*k**3 - 11*k - 16. Let m(z) = 4*z**3 + 2*z + 3. Let i(o) = 9*o. Let j be i(1). Suppose -3*w = -j + 3. Let p = -19 + 30. What is p*m(c) + w*r(c)?\nAnswer: 2*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 249 = -2*x - 5, 5*x = h - 77. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -294a36 (base 11) in base 12?\nAnswer: -1a2564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -107 = -10*p + 83. Suppose -2*c = -j - 58, -13 - p = -c - j. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10654881650 plus -384?\nAnswer: 10654881266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 9 - 2 - 5*q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**2 - 3*v - 13. What are the prime factors of o(-7)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 240 + 6356?\nAnswer: 6616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 0.7, 767, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 51.17475711 to one decimal place.\nAnswer: 51.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1925 and 13860.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 220\/605 - (6468\/(-198))\/(99\/(-2)).\nAnswer: -8\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11148874 is divided by 3716291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 32970 divided by -3297\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4 + (0\/1)\/2. Find c such that 0 - 2*c**3 + 0*c - 8\/3*c**n + 2\/3*c**2 = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -97 = 26*j + 227 + 40. Which is greater: -425\/31 or j?\nAnswer: -425\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9 - 17. Let r = h - -4. Let i = -91\/6 + 15. Which is the smallest value?  (a) i  (b) r  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1433560 to the nearest 10000.\nAnswer: -1430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 52864 is divided by 265.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*y - 11*y. Solve y = 3*v + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18\/(-4)*2760\/(-69)*6\/108.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1300) + -1)**2*-1 + 1.\nAnswer: -1300 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*m**2\/5 - 1226*m - 3064\/5.\nAnswer: -2*(m + 1532)*(2*m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -598 divided by 3?\nAnswer: -598\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4712550?\nAnswer: 2, 3, 5, 89, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 434.35 - 434.28. Put 0, 1\/4, 70, k, -1 in decreasing order.\nAnswer: 70, 1\/4, k, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 119\/11952 and 19\/10624?\nAnswer: 95616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2034 divided by -57145?\nAnswer: -2034\/57145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 36\/5*c**3 - 8\/5 + 52\/5*c - 96\/5*c**2.\nAnswer: 4*(c - 2)*(3*c - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 16*t**3 - 7*t**2 + 86*t - 199. Is 14 a factor of l(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/5, -1.8, -17, -3, 2.\nAnswer: -17, -3, -1.8, 4\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3575984 and 56.\nAnswer: 25031888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4\/(-10)*10\/14. Let g be (51\/(-170))\/((-12)\/5). What is the third smallest value in g, p, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 168, 170, 172, 174?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Are -0.76 and -3\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 62\/27 and -62\/99.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 1, r: 7}. What is prob of sequence roor?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 228829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1638 and 615447?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4122 - 1451017\/352. Find the common denominator of -123\/1232 and y.\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -5*b. Suppose 4*s + 3 - 11 = 0. Suppose 0*n - 6 = -s*n, 0 = 2*t - 5*n + 19. Calculate o(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7268\/13 - 559. Let z = 4.03 - 0.03. Which is the second biggest value?  (a) x  (b) z  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 i when two letters picked without replacement from bbibbinbniinbb?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1\/122971 or -1?\nAnswer: 1\/122971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -623.5 + 468. Let w = o + 155. Which is the biggest value?  (a) -5  (b) -2\/13  (c) w  (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + b - 15464 = 0. Let y be (-1)\/3 - b\/12. Is y\/12 - (-2)\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 61.27 - 62.27. Which is the second smallest value?  (a) 4\/5  (b) -6\/259  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.1 or 2816?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -26.4 - 4.6. Let u = k + 33. Which is the third smallest value?  (a) u  (b) -3\/5  (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 134, 5, 11256, 1 in decreasing order.\nAnswer: 11256, 134, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*x + 5*x - x + (0*x - x + 2*x)*(0 - 1 - 1) + 3 - 3 + x - 16707*x - 292*x + 99550 - 4219*x - 99550 to the form g*x + i and give g.\nAnswer: -21217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (sqrt(700) + (1 + sqrt(700) - sqrt(700)) + sqrt(700))**2 + 5)*-5 + ((-5 + 0 + sqrt(700))*2)**2 + -5 + -4.\nAnswer: -11124 - 600*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -911 + 8*s + 911 - 2*s**2 + 2*s**2 + 2*s**2 - 11*s.\nAnswer: 2*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 590\/295*13\/(-494).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 2*v - 2. Let r be p(4). Let a be (r + -11)*(-10016)\/5. Suppose -4*h + a = -5*y, 5*h - 3938 - 82 = 2*y. What is y rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 41, 36, 13, -34, -111?\n\"Answer: -w**3 - 3*w**2 + 11*w + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 28922 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.16122 rounded to 2 decimal places?\nAnswer: 1.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*b + 53 = -15 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = h**3 + 34*h**2 + 74*h + 356. Determine r(-32).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 6667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from ykddd.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12036?\nAnswer: 2, 3, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*t - 3*n + 5 + 48, -n + 25 = 2*t. Let l = t + -5. Let c(r) be the first derivative of r**3\/3 - 2*r**2 - 7*r + 2. Determine c(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**3 - 8*w**2 + 7*w + 10. Let t be k(7). Solve 5 = -5*v + 4*r, 2*v = -3*v + 5*r - t for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 29*v - 21 - 66. Suppose -9 - 186 = -v*p + 4*d, -5*p - 5*d + 325 = 0. Calculate the remainder when p is divided by 56.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-16)*p*p)**(-1\/28)\/((p\/(p*p\/p**(-31))*p*p)\/(p\/(p**(-9)*p))) assuming p is positive.\nAnswer: p**(79\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 3, t: 1, c: 4, e: 4, f: 1, u: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*v - 146*v = -87011 + 79901 for v.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-12)\/10)\/(8\/(-20)). Solve -5 = r*v + 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -11\/60 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*q**3 - 31*q + 31*q)*(0*q - 3*q + 2*q) + (-4*q + 4*q + 2*q**3)*(0*q + 0*q + 4*q).\nAnswer: 12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -265673, -265676, -265681, -265688, -265697, -265708, -265721?\nAnswer: -265736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 23836442 to the power of 1\/2, to the nearest integer?\nAnswer: 4882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 168 = -299*g + 306*g. Suppose 0 = -u + 3*s + 10, 5*u = 30*s - 28*s + g. Which is the second smallest value?  (a) 1\/7  (b) u  (c) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 178186000 to the nearest one million.\nAnswer: 178000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -14225 + 14319. Let v be (-2)\/6 - 426\/(-9). Calculate the highest common factor of i and v.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**2 - 160*t + 4016. What is n(22)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v. Let q(a) = a**3 - 6*a**2 + 8*a + 4. Let y(p) = 2*d(p) + q(p). Calculate y(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -27 - -41. Let v = i - 22. Let j = v + 3. Which is the second biggest value?  (a) j  (b) -3  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + -2 + -5 + 3 + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2535878.\nAnswer: 2, 1267939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 92 - 87. Let g(c) = 8 + c**2 - 4 - 4*c - 6. Let r be g(l). Sort 4, 2, r, 1 in decreasing order.\nAnswer: 4, r, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -18?  (a) -1\/8  (b) -4  (c) 5\/4  (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4.5866 + 0.4134. Let g = 0.08 - 0.18. Put -2\/53, -0.2, g, l in decreasing order.\nAnswer: l, -2\/53, g, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 186 and 5?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p - 4*d + 62, 5*p - p - 5*d - 176 = 0. What is the remainder when p is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that 2*d**5\/3 - 8*d**3\/3 - 4*d**2\/3 + 2*d + 4\/3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wsw when three letters picked without replacement from {w: 6, s: 1, q: 7}.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4260 is divided by 406?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 86 + -62.8. Put m, -6, -5, -6\/5 in increasing order.\nAnswer: -6, -5, -6\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(1*sqrt(1216) + sqrt(1216) + 3) + -2 + 4)**2.\nAnswer: 1056*sqrt(19) + 43897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 - 16 = 3*q. Sort q, -6, 2 in increasing order.\nAnswer: -6, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -284*w + 285*w - 3*o + 16 = 0, 39 = w + 2*o. Let d be (-2*1)\/((-6)\/15). Solve -4*z = -3*n - w, d*n - 9 = -3*z + 11 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(12\/(-10)*45\/(-6))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 20\/9*g**2 - 2\/3*g - 2\/9*g**5 + 0 - 8\/3*g**3 + 4\/3*g**4.\nAnswer: -2*g*(g - 3)*(g - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4.82 - -0.18. Let i = d + -5.42. Let v = 0.19 + i. Round v to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the first derivative of -o**6\/3 - 11*o**4\/4 - 86*o**3\/3 - 714*o**2 - 4519. What is the second derivative of v(w) wrt w?\nAnswer: -40*w**3 - 66*w - 172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**2 + 94*r - 3789. What is s(30)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 504 (base 9) to base 5\nAnswer: 3114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t - 1. Let q(n) = 2 + 0 + 0*n - n. Suppose -7*z + 6*z = -5*x + 15, -4*x = -z - 13. Determine z*u(i) - 3*q(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 27*n - 2. Let w(b) = -53*b + 3. Give -5*f(l) - 3*w(l).\nAnswer: 24*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 10*r - 7. Let l(p) = 0 + 2 + p - 4*p. Suppose 0 = -2*d + d - 5, -4*m + 5*d = -41. Determine m*b(o) + 14*l(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 55586 - 38937. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -1 + 2 + b**2 + 5*b + 3. Let x be s(-4). Let r = 4 + x. Calculate the lowest common multiple of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - (-1 - (-1 - -1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 92 + 140 = 4*a. Suppose -x = -2, -d + x = 3*d - a. What is the remainder when 129 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27 - 330595*z + 165297*z + 165299*z.\nAnswer: z - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3605.00368 - -3642.9?\nAnswer: 7247.90368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 14 + -6. Suppose -5*r = 3*f + m, 1 = -2*f - 1. What is the nearest to 0.1 in r, 1, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the third derivative of -p**8\/20160 + p**5\/20 + 7*p**2. Let q(d) be the third derivative of u(d). Let b(x) = -14*x**2. What is q(b(s))?\nAnswer: -196*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2222.4 + 2220.4. Does c = -29\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 30072345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -39 divided by -28.\nAnswer: 39\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z + 9. Let x be f(7). Solve -x*r - r = -9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**9\/b**(-9)*(b\/((b\/(b*b\/(b**1\/b*b)))\/b))**(2\/13)*b*b**(-2)*b**(3\/8)*(b\/b**0)\/(b*b\/(b\/(b*b**(-4\/5)))) assuming b is positive.\nAnswer: b**(9091\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 734172 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = -15 - 33. Let r(a) = 9*a + 24. Let i(x) = -2*x - 5. What is d*i(n) + 5*r(n)?\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:28 PM and 12:40 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5451 - 5?\nAnswer: -5456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 20617 - -9752. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 170, 416, 754, 1190, 1730, 2380, 3146, 4034?\n\"Answer: d**3 + 40*d**2 + 119*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 7160.865 litres in millilitres?\nAnswer: 7160865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/4*(-50)\/(-5)*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 - 6. Let d be (f\/(-14))\/((-12)\/(-14)). Sort d, 2, -2\/3, 0.1.\nAnswer: -2\/3, 0.1, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(3\/7)*r**(-1\/4))**(2\/41) assuming r is positive.\nAnswer: r**(5\/574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((z*z**(-5\/8))\/z*z**(-14)*z)**6)**(1\/20))**26 assuming z is positive.\nAnswer: z**(-4251\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 473893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 0)*(3*i - 4 + 4)*(i**2 - 5*i**2 + 2*i**2)*(3 - 3 - 2)*(6*i - 9*i + 8*i).\nAnswer: 60*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 318896550 a multiple of 1050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(2\/7)*h**(-1\/6))**(1\/30) assuming h is positive.\nAnswer: h**(1\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 158*b + 266. Determine a(-2).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 - 22*p**2 + 6.\nAnswer: -22*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 26 = 4*j, 23 = 5*j - 3*w - 3. Suppose 0 = q + 5*h - j, 2*h - 3*h + 20 = q. Suppose 22*r + 3598 = q*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 39.25 + 1.6.\nAnswer: 40.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 91 = -5*j + 31. Let a = -5 - j. Solve -5*z + a*o = 3*o + 25, -20 = -5*z - 5*o for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.4 + 0.4006. Round n to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 935 - -0.03?\nAnswer: 935.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = -5*s + 23, -3*s + 2*s + 2*i = 5. Suppose s*w - 24 = -0*w - t, -3*w = 3*t - 30. Let c = 13 + w. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -24, -114, -266, -480?\n\"Answer: -31*n**2 + 3*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -294*s + 295*s - 4 + 4.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 32570  (b) -2746  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hueeueeuhhhhuheee. What is prob of sequence uuee?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 693.8425 weeks?\nAnswer: 419635944000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -6379 or -6347?\nAnswer: -6347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 49\/66 and 115\/283206.\nAnswer: 283206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3981.\nAnswer: 3, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1*220\/(-2))\/(78\/(1716\/(-44)))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 105 - 105.51. Let n = p + 0.21. Which is the closest to -1\/2?  (a) 0.3  (b) n  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000293095 to 6 dps.\nAnswer: -0.000293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*-5*((4*2*sqrt(55) + sqrt(55))\/sqrt(11) - (sqrt(15)\/sqrt(3)*-4 + 1 + sqrt(5) + 1)).\nAnswer: -360*sqrt(5) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 16*i - 54. Let x be r(4). Solve 7*g = x*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*w + 3*v + 136 - 141, v = w - 2 + 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 12338 to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-6)\/(-10))\/(-4 + (-9914094)\/(-2478510)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**2\/2 + 61450383*m + 3776149570846689\/2.\nAnswer: (m + 61450383)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 13, e: 3}. Give prob of picking 2 e.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lleeeeelleeleeeeele. What is prob of picking 4 l?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the first derivative of 16*a**3\/21 + 146*a**2\/7 - 150*a\/7 - 333. Let p(y) = 0. Calculate y.\nAnswer: -75\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 478080 and 9216.\nAnswer: 3824640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1069, 777, 4 in decreasing order.\nAnswer: 777, 4, -1069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = -k - 4, 4*s - 5*k = 3*s - 18. Suppose -z = -s*z - 13. Let o be 2 - (11 + -2) - 7. Which is smaller: z or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 265 + -263. Let s be v\/4*5 - 225\/(-90). Solve -s*w - 17 = -2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.7 in -1\/25, -2\/5, 0.06179?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**(-27)*s*s\/s**43*s)**(-43))**1)**(-46) assuming s is positive.\nAnswer: s**(-132526)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -16 (base 13) to base 12.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -2244, -4, -9 in ascending order.\nAnswer: -2244, -9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -11981, -48016, -108075, -192158?\n\"Answer: -12012*g**2 + g + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 3*m**3 - 1 + (2*m - 3*m + 3*m)*(3*m**2 - m**2 + 0*m**2) + 6*m**3 - 8*m**3 - 4*m**3.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 7*d**4 - 586*d**3 - 168*d**2.\nAnswer: d**2*(d - 84)*(7*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 7*l. Let g(v) = -v**2 + 160*v - 909. Let m be g(6). Let c(k) = 15*k. Calculate m*z(a) - 6*c(a).\nAnswer: 15*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*h - 5*h + 11*h - 3*m = -294, -22 = 4*h + 5*m for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 11*b**3*r**6 + 9*b**3*r**4 - 2*b**3*r - 30*r**2 wrt r?\nAnswer: 1320*b**3*r**3 + 216*b**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v - 3. Let b be o(4). Let h(n) be the third derivative of -5*n**4\/12 + n**3\/6 + 20*n**2 - 3. Give h(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 87 + -51. Let g = 150 - m. What are the prime factors of g?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 21.636 + -21.136. Which is the third smallest value?  (a) 3\/26  (b) 3  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 22*g**2\/5 + 31874*g\/5 - 5796\/5.\nAnswer: 2*(g + 1449)*(11*g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 707 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 58*j**2 - 119*j**2 + 64*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is w in 39*w**2 + 20778*w - 4797 = 0?\nAnswer: -533, 3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 3*c + 6 + 11 = 0, 4*c + 41 = 5*r. Calculate the common denominator of -3\/260 and r\/(-20) + (478\/24)\/(-1).\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*y + 2*p - 42, -1038*p - 6 = -519*p - 521*p for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 14*v - 939052 = -44*v. Round v to the nearest one thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k**5 + 7*k**4 + 15*k**3 + 17*k**2 + 4*k. Let v(n) = 8*n**4 + 16*n**3 + 16*n**2 + 4*n. Let s(t) = 2*r(t) - 3*v(t). Factor s(f).\nAnswer: -2*f*(f + 1)**3*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1557479 is divided by 182?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the first derivative of 16 + 0*w**2 - 3\/5*w**5 + 0*w**3 + 0*w**4 - 4*w. What is the derivative of z(n) wrt n?\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -13, -35, -73, -133, -221, -343, -505?\n\"Answer: -x**3 - 2*x**2 - 9*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes after 11:08 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -311488 by -2.\nAnswer: 155744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -348 - -244. Let f = -73 - o. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11092826 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -c**3 - 5*c**2 + 6*c + 7. Suppose -261*l + 192*l + 9936 = 0. Calculate the remainder when l is divided by z(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1292*g*h**3 + g*h + 122204*h**3 wrt g?\nAnswer: -1292*h**3 + h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 1, l: 1, g: 1, s: 1, x: 2, e: 2}. What is prob of sequence lxs?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*o**4 + 0*o**4 - 6*o**4 + (4*o**2 - o**2 - 2*o**2)*(12*o**2 - 52 + 52).\nAnswer: 9*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -165271*p**6 - 157732*p**2 wrt p?\nAnswer: -19832520*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 73 - (152 - 52) - 20.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 394\/430 - (-7 - -8). Let q = 179370672 - 308517573399\/1720. Let w = q - m. Find the common denominator of w and -19\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 9 - -8?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/255 and -65\/561.\nAnswer: 2805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 92484 divided by -252?\nAnswer: -367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y**2 - 4*y + 16. Let f be h(-6). What is the third smallest value in f, 3, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 393 and 3.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbey when four letters picked without replacement from {y: 1, e: 8, b: 8}?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, -874\/3, 0, 0.1, 21, 0.06, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3528 and 1071.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 116, 201, 28039 in descending order.\nAnswer: 28039, 201, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -7*b**4 - 5*b**4 + 13*b**4 + 14 wrt b?\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 22221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -447327*-1.242.\nAnswer: 555580.134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -5 - 3. Solve 4*g - 6*g = o for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1779150787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the first derivative of 2*j**3 + 5*j**2\/2 + 5*j - 53. Let k(r) = 1 + 17 + 4*r + 21*r**2 + 14*r. Let q(x) = 18*h(x) - 5*k(x). What is y in q(y) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/((y*y**(-2))\/y*y)*y*y**(-2\/53))**(-21\/5) assuming y is positive.\nAnswer: y**(-3297\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5 + -2970?\nAnswer: -2975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -3*l - 21. Let k be u(-5). Let s = 130 - k. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9721 * -0.3\nAnswer: 2916.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*z - 10454 = 5098. Calculate the remainder when z is divided by 51.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.3  (b) -0.7  (c) -16  (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 49 + -129 + -80 + 68?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1.16  (b) 2\/9  (c) 0.4  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 20*l**2 - 11. Let b be q(3). Let r = b - -98. Does 47 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6118507133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*q**3 - 5*q**3 + 3*q**3 + 3*q**3 - 2*q**3 + 0*q**3 + (-2*q + 1 - 1)*(-q**2 + 0 + 0))*(-697 + 950 - 521) as h + w*q + d*q**2 + i*q**3 and give i.\nAnswer: -1072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4385326 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 2\/11, -40, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b + 4*v + 7 = 2 + 17, -8*b + 3*b - 6 = v + 9 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -232424, 38\/49, 1 in ascending order.\nAnswer: -232424, 38\/49, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -90 + 187 = -15*g + 172 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the first derivative of -h**5\/300 - h**4\/60 - h**3\/30 - h**2\/2 - 1. Let l(m) be the second derivative of n(m). Let l(f) = 0. What is f?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.1, -5, 4, 111\/20, 0, 2\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**3 + 260*q**2 - 1767*q + 125441. Calculate s(255).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -27580, -110227, -247938, -440713, -688552, -991455, -1349422?\nAnswer: -1762453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.6 and 896.08.\nAnswer: -537.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 15636231 to the power of 1\/2, to the nearest integer?\nAnswer: 3954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 48 - 38. What is the lowest common multiple of i and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((sqrt(396))**2*4 - (sqrt(55)\/(sqrt(30)\/sqrt(6)) + sqrt(11))) + (2*sqrt(825))\/(sqrt(6)\/sqrt(2)*5).\nAnswer: 1587","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**3 - 9*q**2 - 3*q + 24. Let j be y(9). Let u be (485\/(-20))\/((-39)\/(-12) + j). Let p = u - -206. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (2 + 6 + -1) - -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -2*b. Let z = -8 - -7. Let w be d(z). Suppose -3*l = -3*g - 106 - w, -l = 5*g - 42. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 120*n - 10357. Let k = -2 + 6. Calculate the remainder when b(87) is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = -3 - 17. Suppose q*h = v - 19, -h = -v - 3*v - 19. Is (-2496)\/v + -2*6\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o - 2*p + 108 = 2*p, -216 = 2*o + 134309*p - 134317*p for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.3, 2063, -35.71?\nAnswer: 2063","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p**3 + 3*p**3 - 3*p**3)*(2*p - 4*p - p)*(-6 + 6 + p) - 2*p**2 + 2*p**2 + p**5 + 3*p**5 + 3*p**5 - 5*p**5.\nAnswer: 8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o*o\/(o*o*o\/(o**(-1)\/o)*o))**(-2\/3)\/((o\/((o\/(o**(1\/9)\/o))\/o))\/(o\/(o**(-2)*o))))**(-1\/16))**(-2\/189) assuming o is positive.\nAnswer: o**(41\/13608)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 9*m**2 + 4*m - 8. Let o(g) = -25028*g**2 - 23*g + 12*g + 23 + 25002*g**2. Give -11*c(f) - 4*o(f).\nAnswer: 5*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -2*v. Let x(m) = m**2 + m + 2. Let d(g) = 16*g**2 + 12*g + 24. Let p(i) = -d(i) + 12*x(i). Give n(p(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111010000 (base 2) to base 12.\nAnswer: -328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -284 = -4*r + 2*j - 4*j, 4*j - 85 = -r. Suppose -5*l - 46 - r = 0. Let q = 72 + l. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in twenty-six fifths of a micrometer?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 57549 + 2?\nAnswer: 57551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 9  (b) 1  (c) -1  (d) 13  (e) -12  (f) 2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = z + 4*z - 2*y, 2*y + 4 = 2*z. Suppose -20 = -2*h + 8. Calculate the highest common factor of h and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**2\/5 - 48256*i + 2910801920.\nAnswer: (i - 120640)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 4*a - 24 = -0*d, -4*a - 8 = -5*d. Suppose 4*f - 4*l - 16 = 0, d*l - 6 + 1 = -3*f. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1226 + 1217.51. Round z to one decimal place.\nAnswer: -8.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*q**2*w**2 + 2*q**2*w - 3*q**2 - 14*q + 2*w**3 wrt w.\nAnswer: 6*q**2*w + 2*q**2 + 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) 1\/4  (b) 3  (c) 88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:59 PM and 7:41 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -89.1 - -109. Round w to 0 decimal places.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -4*f**3 - 25*f**2 - 9041*f - 54199. Determine l(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60*y = -20*y + 10*y + 50 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, -5, -184, 4\/81, 5, 4, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/5, 2\/3, 2898, 3, 0.4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m = 4*n, -n = -5*m + 3*m - 9 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llle. Give prob of sequence el.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*z - 150 = -4*z. Let m = -38 - z. Suppose 3*g = 3*c, 5*g = 3*g + 5*c - m. Solve -2*k + 3*h - 13 = 2*k, 5*k = -g*h - 24 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17374488.\nAnswer: 2, 3, 41, 17657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 6070000 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1599101 centuries in years?\nAnswer: 15.99101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -6657.3138 - -0.03\nAnswer: -6657.2838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 453.3745 kilograms?\nAnswer: 453374500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.06060308 times -0.062?\nAnswer: 0.00375739096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -1012211420 (base 5) to base 14\nAnswer: -3bc334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in fourty-nine fifths of a millennium?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -11 - -4. Let q = -12 - f. What are the prime factors of 2\/q - 864\/(-60)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4 and 108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -13444 (base 6) to base 12\nAnswer: -1284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2.7 times 91359\nAnswer: -246669.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence idfa when four letters picked without replacement from dijhfjhiidjhjiajdijh.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) 2  (b) 442  (c) 3  (d) 4  (e) -1\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the second derivative of -3*x**5\/20 + 33*x**4 + 823*x**3\/2 + 1035*x**2 + 99*x. Solve b(s) = 0 for s.\nAnswer: -5, -1, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (6\/(-4))\/(9\/(-30)). Suppose -9*u + 4*u = 0. Put v, -3, u in ascending order.\nAnswer: -3, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 143\/65 + 8\/10. Let p(h) be the third derivative of 0*h**4 + 0*h**5 + 0*h**g - 5\/336*h**8 - 1\/60*h**6 + 1\/30*h**7 + 0 + 2*h**2 + 0*h. Factor p(c).\nAnswer: -c**3*(c - 1)*(5*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 39*x + 42. Calculate p(-2).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is (36\/(-30))\/2 - (-147)\/70*4526 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 95701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -2*i**2 - 184*i - 3652. Let l be d(-29). Suppose 3*b - 6\/5 + 6\/5*b**5 + 3\/5*b**4 - 21\/5*b**3 + 3\/5*b**l = 0. What is b?\nAnswer: -2, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -2, 1, -5 in decreasing order.\nAnswer: 1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -14 + 11. Let d = w + 15. Let z = d - 12.000003. Round z to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -18 (base 12) to base 11\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 576034096 and 242.\nAnswer: 6336375056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -9*(1\/(-2))\/(15\/(-30)). Let u(f) = f**2 + 12*f + 25. Let r be u(x). Let n = 8 - 6. Put n, 0, r in increasing order.\nAnswer: r, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2825, 2842, 2879, 2942, 3037, 3170, 3347?\nAnswer: 3574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**2. Let w(h) = 4*h**2 + 8*h - 2. Let q(b) = -5*r(b) - w(b). Let s be q(8). Solve -j - s*g = 5, -j = 3*g - 0*g + 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -7*q**2 + 12. Let a(r) = 21*r**2 - 37. Let s(l) = -2*a(l) - 7*k(l). Calculate the remainder when s(3) is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/(-9) + 1*(-10)\/(-45). Solve 3*k - 3 = q, s*q = k - 2*q - 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by 7952.\nAnswer: -1\/1988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 2*x**3 - 9*x**2. Suppose -c + 6*c - 30 = 0. Is y(c) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 + -6 - -14) + -8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 898 and 43.\nAnswer: 38614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = v - 3*c - 28, 4*c = 0. Suppose v*x = 41*x + 23259. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1634 a factor of 19514029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*u**2 - 1 + 7*u + 59*u**2 + 1 - 7*u**2.\nAnswer: 40*u**2 + 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 2*j**2 + 7*j + 10. Let r be k(-5). Suppose -3*d = 2*z - 11, -3*z + 2*d + r = -2*d. What is the first derivative of 1 - 13 + 0 - z*s**3 wrt s?\nAnswer: -21*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2182036 (base 9) in base 6?\nAnswer: 41112010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 4  (b) -87  (c) 0.3  (d) 0.11  (e) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 24 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -196828421 - -196828403.99999977. Let d = -17 - a. What is d rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = 2*w + 4*y - 48, 2*w - 10 = 3*y. Let u(b) be the first derivative of 1 - w*b - 10\/3*b**3 - 1\/2*b**4 - 8*b**2. Factor u(m).\nAnswer: -2*(m + 1)*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = q + 2*q + 11, -c + 1 = 2*q. Let w(v) = 1669*v - 7. Let u be w(q). Round u to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the second derivative of -33*m**3\/2 - 2*m - 13. Let a(v) = 2*v. What is a(g(x))?\nAnswer: -198*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 17*l**3 + l**2 + 495*l - l**2 - 496*l + 2 in the form y + u*l + f*l**3 + k*l**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13, -1, -19, -41, -67, -97?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -109 + 923 = -22*d - 259 - 489 for d.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*o - 94 + 214*o**2 + 199*o**2 - 34*o - 414*o**2.\nAnswer: -o**2 - 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -13043 - -25878. What are the prime factors of t?\nAnswer: 5, 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (-1 + 0) - 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ded when three letters picked without replacement from {d: 5, e: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -242 (base 12) to base 9\nAnswer: -415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10050675 divided by 2010135.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -6*j**2 + 6*j + 6. Let i(n) = n - 1. Let h(a) = 3*a - 1. Let g(t) = h(t) - 2*i(t). Determine 6*g(r) - m(r).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 45047 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ttattatattaa. Give prob of picking 4 a.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 623.99999024 + -624. What is r rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*n**5 - 1810*n**4 - 635877*n**3\/7 + 24640724*n**2\/7 - 34209220*n\/7 + 12098400\/7 = 0. Calculate n.\nAnswer: -142, 5\/7, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -258*o + 438*o - 213*o.\nAnswer: -33*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 21*a*o*s*t + 14445*a*o + 115*a*s*t**2 - 24*a*s - a + 76*o*t wrt t?\nAnswer: 21*a*o*s + 230*a*s*t + 76*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1015 + 15704 - 2633 + 9709 + 8075 + 2*i.\nAnswer: 2*i + 29840","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = r + 253, 3*j - 4*r = -0*r + 162. Let g = 24 + -13. Suppose 6 = o - g. Calculate the remainder when j is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58*l - 20 = 60*l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 13, 104, 359, 862, 1697?\n\"Answer: 14*m**3 - 2*m**2 - m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/d**(-2\/69)*d)\/(d\/(d**(1\/7)*d)))\/(d\/(d\/(d\/(d*d**(-3\/5)))))**(2\/7) assuming d is positive.\nAnswer: d**(4831\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -285*c. Let g(n) = 160*n**2. Calculate g(w(q)).\nAnswer: 12996000*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2  (b) -1  (c) -2\/3  (d) 5  (e) -5  (f) 2515  (g) 88\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that 21*i**5 - 102*i**4 - 2211*i**3 + 4392*i**2 + 6480*i = 0.\nAnswer: -9, -1, 0, 20\/7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 73\/4 of a century in months?\nAnswer: 21900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*j - 47337 + 47337.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -75 - -75.4. Let q = -6.8 + 6.9. Let f = 9\/4 + -77\/36. Which is the nearest to q?  (a) f  (b) v  (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.200552*0.5.\nAnswer: 0.600276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2120 + -542. Calculate the least common multiple of d and 14.\nAnswer: 11046","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 228 times -85?\nAnswer: -19380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -9.25 and 7?\nAnswer: -64.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4794*b**3 - 9561*b**3 + 11*b**5 + 4789*b**3)*(-3 + 6 - 1).\nAnswer: 22*b**5 + 44*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r\/(r*r**(-6\/25)*r)*r)*r\/(r\/(r\/((r*r**(-11\/5)\/r*r)\/r))))\/(r**41*r**46) assuming r is positive.\nAnswer: r**(-2076\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -18\/607 + 29887\/4856. Let h(o) = 2*o**3 - 5*o**2 - o - 4. Let m be h(4). What is the common denominator of c and 1*5\/(m\/(-116))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 365 a factor of 4077780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the first derivative of -b**8\/3360 + b**6\/720 - 2*b**3\/3 - 1. Let w(t) be the third derivative of h(t). Find z, given that w(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 80\/6*(-4)\/(-14)*(-2464)\/1760?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -246*i + 1241. What is l(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-42)\/(-14) + 7398 + -8?\nAnswer: 7393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h - l - 15, -2*h - 5*l - 13 = -57. Solve h*u - 13*u = -8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the second derivative of b**4\/12 - b**3\/6 + 182*b**2 + 22*b. Let i be p(0). Suppose -2*r - 3*q + i = -q, 905 = 5*r + 4*q. Does 17 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1589*v - 1 - 3182*v - 3274*v**2 + 1592*v - 1193*v**2 to the form h*v**2 + u + l*v and give h.\nAnswer: -4467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -185 + 187. Let b(t) = 3 - 3 - 2*t**y + 10*t**2 + 5. Let g(n) = -39*n**2 - 24. Determine -24*b(s) - 5*g(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 93 - 89. Let k be 2\/112*n*6\/(-1). Let p = 3 - 1. Which is the smallest value?  (a) p  (b) 1  (c) k  (d) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 349, 2.3, -0.4, 6\/5, 1\/6 in decreasing order.\nAnswer: 349, 2.3, 6\/5, 1\/6, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 24*t**3 - 5*t**2 - 8*t + 7. Let z be l(1). Calculate the greatest common divisor of 1269 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 947 and 947 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/425 and -97\/200.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3\/(-4) - 294\/(-456). Let x = 2 + -1. Which is smaller: x or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 473681, 473670, 473637, 473570, 473457, 473286, 473045, 472722?\nAnswer: 472305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4577634 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*k = -45*k - 11 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the second derivative of -1\/6*o**4 + 0*o**3 + 0 + 3\/2*o**2 - 3*o. What is the derivative of d(c) wrt c?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 11413.2 and -7.28?\nAnswer: -83088.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.198496 * -0.03.\nAnswer: 0.03595488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ufuuufuuun. Give prob of sequence uf.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 356\/623*35\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -579275 at least -579227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6, 51, 188, 441, 846, 1439, 2256, 3333?\nAnswer: 4706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*g + 8948 - g + 0*g.\nAnswer: g + 8948","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1876765 less than 16370.42?\nAnswer: -1860394.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -1790*l - 1836*l + 3628*l. Let v(a) = 8106*a**2. Determine v(o(m)).\nAnswer: 32424*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 56 and 50729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 173414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 46148.97 decades to months.\nAnswer: 5537876.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 4, -126, -2, -7 in decreasing order.\nAnswer: 4, 2, -2, -7, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -a - 960000. Suppose -y - a = y. What is y rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - -6) + -3 + (-11 - -17).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 8204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -13*d**2. Let p(o) = 3*o - 164. Let v(f) = 2*f - 150. Let n(i) = 9*p(i) - 10*v(i). Give s(n(q)).\nAnswer: -637*q**2 - 4368*q - 7488","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -4*n + 45, -4*i = 3*n - 2*i - 35. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2 + 6\/(-6))\/((-420)\/85 + 5). Calculate the highest common divisor of 7463 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o + 15 = 30 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 650993396?\nAnswer: 2, 8447, 19267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1775968*j**2 - 1775968*j**2 + 2*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*n + 19*n = 0. Let s(z) be the second derivative of -1\/3*z**3 + n*z**2 - z + 0. Let m(j) = j. Give s(m(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 300 and 8000.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 73\/49564 and 24\/433685.\nAnswer: 1734740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3*(4\/2)\/2. Let o = -23 - -47. Suppose -r + o = 3*r. Calculate the highest common factor of a and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 675569 and 25.\nAnswer: 16889225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**2\/3 + 11790*q - 141512\/3.\nAnswer: 2*(q - 4)*(q + 17689)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the first derivative of 3 - 10*m - 1\/2*m**2 - 1\/4*m**4 + 0*m**3. Let b(r) be the first derivative of v(r). Find the first derivative of b(j) wrt j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 10279548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -167\/15372 and -167\/1974.\nAnswer: 722484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -42*f**4\/11 - 894*f**3\/11 - 6426*f**2\/11 - 1470*f - 4116\/11 = 0. Calculate f.\nAnswer: -7, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*h + 19*h + 12 = 0. Let i = 119 - h. Solve -106*z = -i*z - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 21564192, 21564206, 21564220, 21564234, 21564248, 21564262?\nAnswer: 21564276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-36)\/8 + 1 + (473\/86 - 2\/(-4))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 + 4. Let b = -0.3 + 0.3. Let r = b + 0. Put r, -0.3, d in decreasing order.\nAnswer: d, r, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 9, -5, 2, 0, -2 in descending order.\nAnswer: 9, 4, 2, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1046\/3831 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -26 + 28. What is the third derivative of -13*q**k + 408*q**6 + 9*q**3 + 401*q**6 - 817*q**6 + 36*q**2 wrt q?\nAnswer: -960*q**3 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 1 = -2. Let w = j + 10. Calculate the highest common factor of w and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4031946*l*z**2 - 19552275*l*z wrt z?\nAnswer: 8063892*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11054.\nAnswer: 2, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1340364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 27 - (-9 + 4 - (-16 - -2))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*t + 169 = -6*t + 254. Let n be (-2)\/7 - 2\/(-7). Solve n*u = t*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 24, 108, 250, 450?\nAnswer: 708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 70*p + 272. Let f(t) = -21*t. Give y(f(l)).\nAnswer: -1470*l + 272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.5  (b) -18\/7  (c) 2\/5  (d) 1\/6  (e) 5.43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1338770117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 29065900 divided by 14532950\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 g when two letters picked without replacement from {f: 5, b: 1, g: 8, s: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 3) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 64993*v**6 + 2898*v**2 wrt v?\nAnswer: 7799160*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1039.\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 28.34073 minutes?\nAnswer: 1700443800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40122 + 22626 = -1398*n + 14379 - 120789 for n.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 20.6, -2\/5, 5 in descending order.\nAnswer: 20.6, 5, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39 + 1 = -4*q. Let b be q\/(-30) + (-598)\/(-6). What is the greatest common divisor of b and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3226080 divided by 480?\nAnswer: -6721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 2563, 3725, 4887, 6049, 7211, 8373?\n\"Answer: 1162*k + 1401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = p**2 + 6*p - 15. Calculate l(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 112210211 - 10?\nAnswer: 112210201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6668748.\nAnswer: 2, 3, 185243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in 6.81, 4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 9239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -21\/472 + 352045\/7933848. Does s = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j**4\/5 - 1047*j**3\/5 - 4031*j**2 - 105453*j\/5 - 86346\/5 = 0. What is j?\nAnswer: -9, -1, 1066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 60 divide 92340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:48 PM and 9:06 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 12784 and 759849.\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 661730505 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5 - -20?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 175 is divided by (-2)\/(-9) - (24915\/(-270) - (-10)\/4)?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = a**3 - 9*a**2 + 10*a - 11. Let f be b(8). Let d = 2 - -1. Let l = -2 - 3. Put d, l, f in ascending order.\nAnswer: l, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30 is divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -81583, -163166, -244749, -326332, -407915?\nAnswer: -489498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (9\/(-4))\/((-9)\/(-4) - 3). Put i, -5, -41, 5 in ascending order.\nAnswer: -41, -5, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 3\/40 of a gram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -53*b**2*m + 9*b**2 + 2*b*m + b - 266319*m wrt b?\nAnswer: -106*b*m + 18*b + 2*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(135)\/(-5*sqrt(15)\/sqrt(3))*1.\nAnswer: -3*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -3*i. Let x(v) = 4*v. Let t(y) = 3*l(y) + 2*x(y). Let m(r) = 2 + 2*r**2 - 2. Determine m(t(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 18 + -54624?\nAnswer: -54607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 37*v. Let o(x) = x**2 + 2. Let a(g) = -2*g**2 - 3. Let m(j) = -2*a(j) - 3*o(j). Give m(w(t)).\nAnswer: 1369*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Are -315.9 and -100 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -17335 (base 13) to base 4.\nAnswer: -22313023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -25202*s**2 + 7*s + 15. Let x(w) = -w**2 + 32*w + 5. Let a be x(32). Let l be d(a). Round l to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1601.2311 to the nearest 10.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = -2*v + 12, 6*v = x + v - 24. What is the tens digit of -4 + 744\/x + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 960954766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - 16) + -43 - -28?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 138\/(-396) - 2\/(-11). Let r = 4 + -4.1. Which is the nearest to 0.1?  (a) 1  (b) r  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1483247.85 hours in weeks?\nAnswer: 8828.85625","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.1 + -0.6. Let z = -1.9 + 2. What is the nearest to 0 in z, -1, o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 127 (base 10) to base 16.\nAnswer: 7f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(-27))\/(-2*(-3)\/(-6))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 104 and 159224.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-1)\/(-3)*-1)\/(55\/(-660)). Solve -z = u - 4*z - 4, -3*u + z = t for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 545*o - 238*o + 309*o to q*o + k and give q.\nAnswer: 616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 478*z**3 + 1025*z**3 - 4 + 2 + 123*z**3 - 244*z**3 to the form d + w*z**3 + l*z**2 + q*z and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4.8 - -5. Suppose -4 = 3*b - 4*a, 0 = -b - 3*a - 2 + 5. What is the nearest to b in -1\/4, -1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -1, -4, 0.8, 3.7, -3\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m = 5*v - 10, -946*v + 5*m + 2 = -949*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 + -2. Let c be 15\/(-3) + (-192)\/(-24). Solve w = 2*y + 5 + c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.35 * -2.119\nAnswer: 0.74165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 not equal to 1\/48272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6 + 9. Suppose 5*p + 5*x + 20 = 10, 2*p + 3*x + 6 = 0. Suppose p = -r*f - 2*f + 685. List the prime factors of f.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 2 + 2)*(3*a**4 - 5*a + 5*a + (-3*a**2 + 3*a**2 + 2*a**2)*(5*a**2 - 8 + 8)) in the form p*a**2 + w + s*a + t*a**4 + h*a**3 and give t.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(72)*2*-3)**2.\nAnswer: 2589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the third derivative of k**5\/20 - 31*k**4\/4 - 63*k**3\/2 - 4910*k**2. Solve u(z) = 0 for z.\nAnswer: -1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) - (sqrt(11) + (sqrt(110) + 1*sqrt(110))\/sqrt(10))) + sqrt(11) - (3 + sqrt(99))**2.\nAnswer: -108 - 19*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in 294, 5, -1\/8, -2\/9?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8 + 1. Suppose 3*z + 5*x = -4, -3 = -4*z - 2*x + 1. Suppose z*n + 2*r - 57 = -r, -4*r + 88 = 3*n. What is the highest common factor of n and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-9)\/(-12) - (1 - 495\/(-20)). Let b = s - -534. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x\/(x*x**(-2\/43))*x**(-18))\/(x**(-2\/75)*x*x**(-26)*x) assuming x is positive.\nAnswer: x**(22811\/3225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 7}. Give prob of sequence bb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -17, -34, -49, -62, -73, -82, -89?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3303223200332 + 11?\nAnswer: -3303223200321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 30 + 6. Let t = 114 - r. Let z = t - 74. Solve -21 + 5 = -z*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -7  (b) -5  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 41203*y. Let m(c) = -c**2. What is h(m(q))?\nAnswer: -41203*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 20.585 * -0.04\nAnswer: -0.8234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1c (base 13) to base 5.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2677c + -1?\nAnswer: -26780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sum -8 and 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -y + 8. Let o be i(0). Let b = -6 + o. Solve 20 = 7*z - b*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k + 3*k - 2*k)*(3*k + 0*k + 18*k).\nAnswer: -21*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*c = -45*c + 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 4*m**3 + 3*m**2 + 2*m. Let u(c) = -20*c**3 - 16*c**2 - 11*c. Suppose 25 = f + 3*z, 15 = 108*f - 113*f + 5*z. Give f*u(x) + 22*l(x).\nAnswer: 8*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34 = -2*w - 44 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20774526?\nAnswer: 2, 3, 31, 61, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/9, -1\/2, 3\/70 in decreasing order.\nAnswer: 3\/70, -2\/9, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 54*f - 5. Let m(c) = 55*c - 6. Let z(d) = 3*j(d) - 2*m(d). Let g(o) = -2*o**2. Determine g(z(v)).\nAnswer: -5408*v**2 + 624*v - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 1360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 77\/3 of a hour in seconds?\nAnswer: 92400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 237129 to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -55\/6066279 and -77\/18?\nAnswer: 12132558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x**2 + 21*x + 28. Let s(i) = -3*i - 38. Let h be s(-20). Let q be d(h). Suppose -3*m - 4*f + q*f = -3823, -5*f + 2536 = 2*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 6 + 12*n - 5)*(5 + 6 - 7 + (-3 + 4 + 2)*(-2 + 1 + 2)) to the form u*n + x and give u.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -135 - -243. Let u = g - 112. Find the common denominator of 69\/20 and 3\/u*(-584)\/60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*m = 2*m + 4*b + 198, 135 = 3*m + 3*b. Suppose -3*d + 0 + 6 = 3*r, 5*d = -4*r + 14. What is the highest common divisor of d and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a - 1. Let t(s) = 6*s + 6. Suppose 5*z - 2*z - 16 = 2*o, -4*z - 5*o + 6 = 0. Suppose -7 = -3*w - z. What is w*t(c) + 5*j(c)?\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -4*l**3 + 4*l - 3. Let j be u(1). Let c be (-1)\/((0 + j)\/(-9)) + 33. Calculate the greatest common divisor of 3 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14366)\/24310 - (42\/70 - (-6)\/(-5)).\nAnswer: 2\/221","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 98524 and 985240.\nAnswer: 985240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1329 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/5 in -0.4, 0.5, 2, -95, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 1079300 to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 337644, 675219, 1012808, 1350417, 1688052, 2025719, 2363424?\n\"Answer: s**3 + s**2 + 337565*s + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(2736) - 1*sqrt(2736))*6*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 2*j**2. Let v(i) = -170*i + 3. Give v(x(d)).\nAnswer: -340*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6\/((-2)\/((-2)\/1)). Let z be ((-396)\/72)\/((-1)\/d + 0). Let g = z - -22. What is the greatest common factor of g and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(16)\/sqrt(2))\/sqrt(2))\/sqrt(2).\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 135 - 261 = -s. Suppose 61 = 11*q - s. Calculate the remainder when 94 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:47 AM and 6:06 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -11014484 - 9?\nAnswer: -11014493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-11)\/(-22) - 2)\/((-102)\/(-8))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6 * -133.\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -13*p**3 - 2*p**2 + 1. Let i(w) = -w**2 - w - 1. Let f be i(0). Let l(y) = y**2 - 27*y + 154. Calculate the lowest common multiple of j(f) and l(19).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8\/1217 + 103381\/9736. Let t = -16753\/80 - -2041\/10. Find the common denominator of t and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 38 = 5*t, 4*t + 5*y + 103 = 57. Put t, 2, -14, 5 in decreasing order.\nAnswer: 5, 2, t, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**2 - 9*h - 8. Let s be v(-7). Suppose 0 = 2*c + 3*a - 93, s*c - 2*a + 174 = 10*c. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90 = 2*o - 22. Suppose -3*q - 2*b - 96 = -0*b, 5*q = -3*b - 161. Let x = o + q. Calculate the highest common divisor of x and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11943 + 3394 + 287 = 3906*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 223 - 219. Suppose 9*f - 4*f**2 - 33*f - 12 + 12*f + w = 0. Calculate f.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -2*g**3 + 8*g**2 + 2*g + 12. Suppose q + 171*m = 175*m - 16, 4*q - 5*m = -9. Give y(q).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve g + 5*j + 10 = -0*g, g + 4 = j for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j**2 - 5*j + 1. Let z be 1\/2 - 15\/(-6). Let a(v) = 2 - 9*v + z*v - v**2 - 1. Suppose -4*b - 4*t = 20, 0*t = -3*t. Calculate b*a(o) + 6*f(o).\nAnswer: -o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l + 4*n = -5*l - 6, -5*n = 5*l + 10 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 681 minutes after 2:52 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -c**2\/5 + 48*c\/5 + 20.\nAnswer: -(c - 50)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -f - f. Factor 4 - 4 + q**2 - f - q.\nAnswer: (q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1340215, -2680471, -4020727, -5360983, -6701239, -8041495?\n\"Answer: -1340256*i + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1 - 9)\/((-6)\/(-24)). Let q = 85 + x. Let i = -31 + q. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (82 + -88)\/((-3)\/278350). What is m rounded to the nearest ten thousand?\nAnswer: 560000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -22*u**2 + 11*u - 4. Let k(b) = -11*b**2 + 6*b - 2. What is -6*i(w) + 11*k(w)?\nAnswer: 11*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 42\/9*(-1722)\/(-7). What is the highest common factor of 28 and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 92*s**2 + 0 + 90*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3382 is divided by 495.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dqddddqdqddqdddq. What is prob of picking 2 d and 2 q?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 699342 is divided by 930.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l + 7 = 5*v, 5*v + 94*l - 93*l = 11 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -5, -0.31, -25, 118?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 51 - 35. What is the remainder when (2 + -4)*(-23 + 0) is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*b + 4*b + 7*b)*(-4*b + 7*b + 4*b) + 126*b - 11*b + b**2 + 2*b.\nAnswer: 50*b**2 + 117*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-97 - -42) + (-9 + 11 - (-1 + -1 + 1))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 598*x**5 - x**4 + x**3 + 27*x**2 + 5. Let u(a) = -a**5 - a**4 + a**3 - a**2. Let f(g) = -t(g) + u(g). Find the third derivative of f(k) wrt k.\nAnswer: -35940*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.5614*-0.282.\nAnswer: -0.7223148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/2 + (-14)\/(-4). Factor 0*d**2 - 4\/7*d**l + 0*d - 4\/7*d**5 - 8\/7*d**4 + 0.\nAnswer: -4*d**3*(d + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -4\/19  (b) -4  (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -15, -2*s = d - 0*s - 46. Suppose 4*x + a + 104 - d = 0, 0 = -2*x + a - 28. Let n = x + 30. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -17*k + 60. Solve 0 = -3*o + 2*o + k*z - 25, -25 = -5*z for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the third derivative of 0*c + 0*c**4 + 1\/900*c**6 - 1\/2*c**3 - 7*c**2 + 1\/150*c**5 + 0. Let h(f) be the first derivative of w(f). Factor h(d).\nAnswer: 2*d*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2108 - 2108 + 2*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -486*m**3 + 1198*m - 727*m + 2047*m - 9192*m - 5438*m wrt m?\nAnswer: -2916*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - (3 + -5 - (0 - 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 76 and 4611547?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7290 - -12473. Is 83 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -29 + (-27 - -3) + -496 + 550.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 104 minutes after 4:58 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j**3 + 9*j**2 + 9*j + 5. Let x be (-1 + -1)*105\/30. What is the units digit of i(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2 - -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 653 (base 11) to base 6.\nAnswer: 3344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 585493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {b: 11, t: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -86 - -531821?\nAnswer: 531757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 760000 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -73.4027318 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b - 6*b - 24 = -c, b = -2*c + 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 121.22 and 45284940?\nAnswer: 45284818.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the first derivative of -11 + 0*f + 7\/2*f**2. Let y(u) = 4*u. Give y(r(x)).\nAnswer: 28*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 3, -3, -4, -2 in decreasing order.\nAnswer: 7, 3, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -434 - -2168\/5. Which is the closest to l?  (a) 43  (b) -5  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -9*m**2 + 30955*m + 54457 with respect to m.\nAnswer: -18*m + 30955","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the second derivative of -5023*j**4\/12 + 5*j**3\/6 - 697*j**2\/2 - 2213*j. Find the second derivative of z(m) wrt m.\nAnswer: -10046","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*-1*sqrt(119) - (-1*2*sqrt(119) + sqrt(119) - sqrt(119)))\/(-2*sqrt(14)\/sqrt(2) + sqrt(28)\/sqrt(4)*4) + -2.\nAnswer: -2 + 5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -g**3 - 15*g**2 - g - 12. Let b be h(-15). Solve 3*a = v - 4, b*a - 2 = -v - 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3950.004 to the nearest integer.\nAnswer: -3950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1 + 2 - (0 + -7). Let l = y - 6. Find p, given that -2*p**4 + 2*p**3 + 4*p**4 - l*p + 0*p**3 - 2*p**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((120\/50)\/3)\/((-2)\/(-5)). Let x(o) = 33*o**2 - 23*o**2 + 189*o**d. Let z(y) = y. Give z(x(a)).\nAnswer: 199*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**2 - 2*q - 26. Give t(9).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**3 + 4*v**2 + 4*v - 1. Let s = 4 - -1. What is r(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -47 - (1 - -1)*-1. Let r = -7 - h. Is 19 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-60592 - 12904 - 38351 - 35055 - 114038 + 17652)*(6*t - 3*t - t) in the form o + h*t and give h.\nAnswer: -486576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1074 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29 + 55 - 23 + 89*i**3 - 11*i.\nAnswer: 89*i**3 - 11*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1524451829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 557, 1019, 1471, 1913, 2345, 2767?\n\"Answer: -5*b**2 + 477*b + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -131\/2220 and -23\/4366?\nAnswer: 130980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(152) - (sqrt(152) - (-4*sqrt(152)*2 + sqrt(152))))*4)\/((sqrt(16) - sqrt(48)\/sqrt(3)*-5)\/(sqrt(96)\/sqrt(12) - sqrt(2))).\nAnswer: -14*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 16310000263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2\/9  (b) 3\/40025  (c) 2.5  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 12872294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2441 and -33014?\nAnswer: 80587174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, s: 1, w: 1, z: 1, p: 2, v: 2}. Give prob of picking 1 v and 1 s.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 45 and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 333362?\nAnswer: 2, 23, 7247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f + 4*c + 25 + 39, 2*c - 10 = 0. Let a(x) = x**3 - 3*x**2 - 6. Let k be a(3). Let m be (-258)\/12 + 0 - 3\/k. Is f equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g, 0 = 2*h - 0*g - 5*g + 8. Let b be 1 + h + 3 - 1. Let m be b*(5 - 2) + 14. Calculate the greatest common factor of m and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lbhuuhuoulhulbhobbb. What is prob of sequence uboh?\nAnswer: 25\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/(z*z**(-4\/9)\/z))\/z**10)**(7\/9)\/((z*z**1)**36\/((z**(-5\/7)*z)\/z*z**(-7))) assuming z is positive.\nAnswer: z**(-48971\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 59a (base 16) to base 15\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -132059214 divided by -189.\nAnswer: 698726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 612.2 + -6.47\nAnswer: 605.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-24 + 15 - (-5 - -2)) + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 25\/812 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5051.\nAnswer: 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5772128nm in micrometers?\nAnswer: 0.0005772128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3753 is divided by 1041.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2\/3)\/(4\/6). Let w be (14\/35)\/(j\/110). Let l = 74 - w. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b**2 - 7*b - 11. Let l be x(-5). Let a(f) = 1. Let r(o) = o + 4. Let c(d) = l*r(d) + 4*a(d). Let m(s) = -2*s**2. Calculate m(c(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*g + 0*g - 2244 = 0. Let u be (3 + -2)\/(11\/((-18040)\/(-8))). Which is smaller: u or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 19?  (a) -5  (b) 1  (c) -4  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 2*u = -5*u, u = 3*f. Suppose 2*q = -3*q + 10. Suppose 2*d + q*d - 44 = f. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0  (b) 2  (c) 1  (d) 30  (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*c**2 + 0*c**2 - 4*c**2 - 1 + 4*c**2 + 1 + (-3*c**2 + c**2 + c**2)*(-3 + 1 + 0) + (-10*c - 7 + 7)*(18*c + 42*c + 13*c).\nAnswer: -725*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-5084)\/(-36) + (-6)\/27. Let a = s + -100. Let u = -7 + a. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d - 5 = d. Suppose 2*q = -3*o + 7, 0 = -5*q - o + 3*o + 8. Let v be q + 18\/(3\/(-1)). Is v > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -8 + (7 - (-6 - -8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:41 AM and 10:15 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (0 - -1)*(-8)\/(-20). Suppose 3*k - 8 = 2*z - 27, -3*z - 5*k = 19. Suppose 2*h - 8 = z. What is the smallest value in h, x, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u**3 + 12*u**2 - 11*u - 6. Let k be z(11). What is the nearest to -1 in 5, k, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the first derivative of -2 + 0*f**3 - 1\/120*f**5 + 0*f**4 + 0*f - 1\/120*f**6 - 5\/2*f**2. Let v(u) be the second derivative of i(u). Factor v(a).\nAnswer: -a**2*(2*a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -6*x + 2 - 2 - 4 + x**2. List the prime factors of f(8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 299*a - 7111. What is w(22)?\nAnswer: -533","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that 4*q**4\/3 - 3626*q**3 + 92150*q**2\/3 + 21706*q - 48798 = 0.\nAnswer: -3\/2, 1, 9, 2711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 5\/6, -2, -3\/4, -7?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u**2 + 6*u - 8. Let b be p(8). Let a = -36 - b. Let r(s) = -s**3 - 12*s**2 - 2*s - 20. Let l be r(a). Solve 5*k = l*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(1584) - (sqrt(1584) + -3 + -2 - sqrt(1584))).\nAnswer: -12*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2588*q**4 + 26*q**2 - 2590*q**4 - 28*q + 72 + 130*q - 6*q**3.\nAnswer: -2*(q - 4)*(q + 1)*(q + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 91478153 to the nearest integer?\nAnswer: 9564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 28311 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 127 + 2993*l**2 + 125 + 88 + 123 - 2*l - 465 as s + a*l + h*l**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/((-12)\/288*6).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the second derivative of 0*p**2 + 0 + 90*p + 23\/6*p**3 + 1\/12*p**4. Solve j(d) = 0 for d.\nAnswer: -23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -5, -4 in decreasing order.\nAnswer: 6, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 136 and 346614?\nAnswer: 23569752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*t = -37*t - 2*j - 6, 0 = -5*t + 3*j + 9. Let o = -3 + 2. Let g = 4 - o. Solve 5*u + g = -t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -243 + 250. Suppose -a = l - 1 + 5, -4 = -2*a + l. Solve 3*g - c + 10 = a for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1321612 + 12?\nAnswer: -1321600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 37, 2735 in increasing order.\nAnswer: -2, 37, 2735","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -172, -346, -520?\nAnswer: -694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.052 - 1917.515488.\nAnswer: -1917.463488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 17*c**2 + 445*c - 7378. Let z be x(16). Calculate the greatest common divisor of 1424 and z.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -108 = -39*f + 87 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 814 + -811. Calculate the highest common divisor of 29 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 124 (base 7) to base 9\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 498367?\nAnswer: 498367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 171 minutes before 8:45 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14090 is divided by 1707?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 1 = -v - 5, 30 = v - 4*g. Suppose 0*b + 30 = b + 5*a, 5*b = 2*a + 69. Let x = 29 - b. What is the greatest common divisor of v and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-2)\/(z\/(z\/(z\/(z\/z**(-2\/25)))*z)))\/(z**(5\/7)*z\/z**(-2\/3)*z*z))\/((z*z\/z**(-2\/7))\/z**3)**(-2) assuming z is positive.\nAnswer: z**(-3533\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6?  (a) -0.107  (b) 18\/11  (c) 4  (d) -1\/106\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -4*s**2 - 9*s. Let k = 24 + -11. Let m(l) = k - 8 + 2*l**2 - 5 + 5*l. Give -7*m(t) - 4*u(t).\nAnswer: 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 6.5  (b) -2\/79  (c) 0.013  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1539)*-1 + sqrt(1539))**2 - sqrt(1539))*-4 - -2*sqrt(57)\/(1*sqrt(3) + sqrt(3)).\nAnswer: 37*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*2*-5*(-3*-1*sqrt(272) + 2)**2.\nAnswer: 2880*sqrt(17) + 147120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 2*y - 7. Let n be z(9). What is the highest common divisor of n and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 111307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -81, -77, -73, -69?\n\"Answer: 4*z - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - (5 + -1)) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u - 8, -5*i - 5*u + 26 = -2*i. Let 234*n**2 + 336*n**3 + 67*n + 5 - 19*n - i + 131*n**4 + 16*n**4 = 0. What is n?\nAnswer: -1, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -430.93 + 431. What is the closest to 0.2 in 4, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 - -7. Let m = 256 - 5378\/21. Put u, m, 17\/4 in decreasing order.\nAnswer: u, 17\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.2 - 0.16. Let h = p + 2.96. What is the third biggest value in h, -0.3, -1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in 2\/5, -3, -1\/2, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 232889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 101*m + 120*m**2 + 202*m**2 + 112*m - 313*m - 327*m**2 + 100*m.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 2*u - 268 + 268. Let h be (-3)\/18*-2*561. Let y(l) = 154*l**2 - 187. Let p(j) = -5*j**2 + 6. Let t(z) = h*p(z) + 6*y(z). Calculate a(t(f)).\nAnswer: -22*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 - -1. Let i = 0 + f. Suppose i*a = -a + 12. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -607353*v**5 - 2*v**4 - 666882*v wrt v.\nAnswer: -12147060*v**3 - 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -696609, -696818, -697149, -697596, -698153, -698814, -699573, -700424?\n\"Answer: h**3 - 67*h**2 - 15*h - 696528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1937*z + 1919*z + 115252*z**3 - 115249*z**3.\nAnswer: 3*z**3 - 18*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - 25 - -14) + (-5 - (5 + -7))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -13 + 13 - 3*b. Let d(l) = -l**2 - 10*l. Let z be ((-6 - -2) + 1)*504\/54. Let k be (16\/z)\/((-3)\/(-42)*-4). Determine k*d(s) - 7*q(s).\nAnswer: -2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 24 - 6 = 0. Let c be 44\/h - 7\/21. Suppose -2*t - 15 = -c*t. Let l(s) = -s. Determine l(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -721680*a**3 + 2*a**2 - 721874*a**3 + 1443590*a**3.\nAnswer: 36*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1943538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.7*43.9409.\nAnswer: -74.69953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -86 + 95. Let t be (-20)\/15*s\/(-6). Solve 3*a - 5*a = t*q + 14, -2*a - 3*q = 16 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21627*l**2 - 3*l + 10965*l**2 + 10658*l**2 + 3*l.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20)*4 + 4 - (3 + -4 + sqrt(5) + sqrt(40)\/sqrt(8)))*-1.\nAnswer: -6*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y - 4. Let r be n(6). What is the third derivative of 8*c**4 - 5*c**2 + c**r - 4*c**4 wrt c?\nAnswer: 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 118966263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8999, -17963, -26927, -35891?\nAnswer: -44855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -4 from 8.7374.\nAnswer: 12.7374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*n - 144 = -50*n. Solve 0 = -2*u + 5*q - 4*q + 10, -2*q = n*u - 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -622 (base 13) to base 9.\nAnswer: -1377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12209998 is divided by 4070?\nAnswer: 4068","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 298 divided by 5?\nAnswer: 298\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (51 - (58 + -2)) + 43.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5062 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-244)\/(-170) + 1504\/470*(-4 + (-203)\/(-56))?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 491 divide 28743140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -7 - 11728557?\nAnswer: -11728563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*a**2 - 3*a**2 + 10 - 9*a + a**2 to b*a + w*a**2 + x and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -63 + 264. List the prime factors of n.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -288 times -52.7\nAnswer: 15177.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**3 - 9*z**2 - 4*z - 3. Let t be x(5). Let g = t + 83. Let v be (-24)\/g + 18\/(-5). Put -2, -5, v in increasing order.\nAnswer: -5, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 10 + 3)*(-n**5 + 10*n**5 - 10*n**5).\nAnswer: 2*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11 - 14. Let z = 11 + -4. What is the least common multiple of z and 4 + i - 2*-3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 10373, 10372, 10371, 10370, 10369?\n\"Answer: -q + 10374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -14051.999976235 - -14052. What is m rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) be the second derivative of 3*d**8\/56 - 5*d**7\/42 + d**4\/3 - d**3\/3 + 8*d. Find the third derivative of q(v) wrt v.\nAnswer: 360*v**3 - 300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 + 6d0cb05?\nAnswer: 6d0cb06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 4366539911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 93523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 4655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve h = 7*n + 783, -5*n - 3041 = 3*h - 2478 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 274*x**3 + 182*x**2 - 22*x - 154. Let j(l) = -39*l**3 - 26*l**2 + 3*l + 21. Give -22*j(k) - 3*n(k).\nAnswer: 36*k**3 + 26*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the first derivative of 5\/8*k**2 - 1\/4*k**3 - 7 - 1\/2*k. Solve i(v) = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -229, -904, -2023, -3586, -5593, -8044?\n\"Answer: -222*s**2 - 9*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**3 + 4*p**2 - 3*p + 2. Suppose -26 + 11 = -5*o. Let h be r(o). Suppose h*n = -2*n - l + 17, 2*n = l + 13. Solve -33 + 8 = -n*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -311\/459 - -10\/51. Find the common denominator of f and 29\/33.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*b**3 + 2345*b**2 - 2330*b - 4680.\nAnswer: -5*(b - 468)*(b - 2)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/15280470 and 149\/504.\nAnswer: 427853160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -195 - 65. Suppose -72 = -5*i + i. What are the prime factors of (-12)\/i + k\/(-3)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -9*c**6 + 166 - 2*c**2 - 166 wrt c?\nAnswer: -1080*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -28, 3\/7, 25?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 19 + -21. Let r(p) = -7*p - 7. Let v be r(u). Suppose q - 3*y = -4, -2*y + 15 = 9. Solve 0 = 4*h - q - v for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 11 + 200?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 20. Let f(v) = -7. Let o(y) = 17*f(y) + 6*z(y). Let x(a) = a - 7. Suppose -2*c + 4*u = 8, -164*u - 1 = 4*c - 169*u. Calculate c*o(b) + x(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 65389749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 2)*(-4*l + 4*l + 2*l) - 22*l + 12*l - 3*l + (0*l - 3*l + 5*l)*(-7 + 4 + 1) - 1 + l + 1.\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 8 - (237\/12 - 13). Let y = 71 + -70. Which is bigger: a or y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1327 + -1327.0827. What is n rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -p**3 + p - 1. Let y be k(0). Let m = y - -3. Suppose -9 - 9 = -m*c. Calculate the highest common factor of c and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9678319?\nAnswer: 7, 241, 5737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 84, 163, 242, 321, 400, 479?\n\"Answer: 79*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5750227501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*r - 325*v + 326*v + 12, -v = 5*r - 33. Let s be ((-1)\/((-1)\/2))\/(-1). Let z = -64 + 23. Sort s, z, r in increasing order.\nAnswer: z, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9\/92 - 2135\/276. What is the common denominator of y and 19\/822?\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 2, a: 1, q: 1, u: 2, j: 3, d: 3}. What is prob of picking 1 a, 1 u, 1 j, and 1 e?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 453, 492, 533, 576?\nAnswer: 621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 425.8278 microseconds in seconds?\nAnswer: 0.0004258278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 152 divide 5919336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-28)\/(-42))\/(0 - (-3)\/162). Suppose -q - 18 = -k. Calculate the smallest common multiple of 4 and k.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - 1 - (16 + -17) - (-8 + 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h - 8 - 20. Suppose 426*c - 362*c = 9408. What is the highest common factor of c and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {l: 4, n: 4, y: 6, x: 5}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6275815?\nAnswer: 5, 7, 13, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((sqrt(2) - sqrt(98)*3) + sqrt(12)\/sqrt(6) + 4 + -1)*2.\nAnswer: -38*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 63\/162*-10*12\/630.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -9 + (-28)\/(-3) - 3\/9. Let h(y) be the second derivative of 0 + z*y**4 - 1\/5*y**2 - y + 1\/25*y**5 - 2\/15*y**3 + 1\/75*y**6. Let h(t) = 0. What is t?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.1, 5, 0.2, -93, -17\/8, 2\/17, 39?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -75.24 - -75. Let v = l + -82.76. Let d = -83.00123 - v. Round d to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -4. Let b = 105 - 109. Let o(s) = s + 5. Calculate b*v(y) - 3*o(y).\nAnswer: -3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 4*z - 53 = 211, 0 = 2*u - 3*z - 137. Is u greater than 61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 183679*b**6*h - b**3*h - 3*b**2*h - 2*b**2 - 3*b - 2*h - 3264 wrt b.\nAnswer: 22041480*b**3*h - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -42121*m**3 - 10*m**2 + m - 28186132 wrt m.\nAnswer: -126363*m**2 - 20*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*v = 5*v + 30. Solve 0 = v*k - 9 + 18 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66 = 2*i + w, 369*i - 738*i + 366*i - 3*w + 96 = 0 for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, 47, 1\/1560, 6\/11?\nAnswer: 1\/1560","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 106904219?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (11*g + 37*g - 7*g)*(152 - 299 + 147 + 234*g) to x*g**2 + c + p*g and give x.\nAnswer: 9594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 5*h + 34. Let v be d(-7). List the prime factors of 8\/32*-2*(v + -235).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.639 + -0.7. Let x = z - -5.061. Let t = -3.9 + 0.9. What is the closest to x in t, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 287 - 100*h**4 + 150*h**4 + 6*h**2 + 5*h + 198*h**4 - 27*h**4 wrt h?\nAnswer: 2652*h**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 26\/161 and 11\/133?\nAnswer: 3059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 2*t - 2. Let n(w) = w**2 + 12*w + 2. Let y be n(-12). Let o(h) = -9*h + 0 - y*h - 1 + 13*h. What is 2*k(j) - 3*o(j)?\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4975341 is divided by 433?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (6\/(-7))\/((-2)\/14). Solve -l*i = -4*i + 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 7 - 15 = 0. Suppose -5*p - x = -14. Does 2 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t - 9 = -4*p - 53, -607*p + 606*p + 39*t - 162 = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*s - s - 224. Let z = 83 + s. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -293203597090 + 293203597090 - 29*n.\nAnswer: -29*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 74 - 52. Calculate the smallest common multiple of n and -24 - -23 - (1 + -4)*1.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34191 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z**2 - 7*z + 10. Let c = -28 - -21. Let p(x) = -x**3 - 6*x**2 - 6*x - 7. What is the remainder when p(-6) is divided by o(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 248.8 - 251.8. Which is the closest to -1?  (a) -0.07  (b) w  (c) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - ((0 - 10) + 5 + 0 + -13).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -130751*q**2 - 3*q - 2. Let h be j(-2). Round h to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 99 + -87. Suppose -42 = b*i - 15*i. Let v = -36 + 51. Which is greater: v or i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fttffft. Give prob of picking 1 t and 1 f.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 5\/3, 0, -10, -7, -8 in increasing order.\nAnswer: -10, -8, -7, 0, 1, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/16 of a minute in milliseconds?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5263 and 665.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the third derivative of o**9\/3780 + o**8\/5040 - o**7\/2520 + o**5\/6 + 2*o**2. Let v(h) be the third derivative of g(h). Find a, given that v(a) = 0.\nAnswer: -1\/2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1*((-22)\/8)\/((-49)\/(-28)))\/1.\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -5*u - 42. Suppose 4*i - n = -37, -22 = 6*i - 2*i + 2*n. What is y(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*q - 22*q - 51*w = -2*w + 1315, 23 = -q - w for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -17568*-1\nAnswer: 17568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 82 a factor of (-1148)\/8*4\/28*-72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 3*y**2 - 3*y**2 - 2 + 6*y - y**2. Let d be g(5). Let o be (2\/(-4))\/(2\/(-8)). Which is greater: o or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p*p\/(p*p\/(p\/p**(-5))*p))**(2\/9))**11)**(-3\/8) assuming p is positive.\nAnswer: p**(-55\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-50)\/(-6) - (-1)\/(-3). Suppose 0 = 4*n - p. Find the second derivative of a - a + a**4 - n*a wrt a.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1 + ((-36)\/20)\/3*-10. Solve -4*s + 2 = -2, 2*f - y = -5*s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4543543.338 - -23?\nAnswer: 4543566.338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 + 8. Let h(s) = 3*s + 9 + s**3 - 3*s. Let l be h(0). Is l <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 128616542 is divided by 1495541?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 273 - 143. Is 26 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:18 PM and 5:35 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 117775?\nAnswer: 5, 7, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -3*j**2 + 376991100*j - 11843524123267500 = 0?\nAnswer: 62831850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*(sqrt(76)*-1 + sqrt(76)) - sqrt(76))*1*5)\/(sqrt(12)\/((sqrt(60)\/sqrt(2))\/sqrt(10))*1).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that h**5 + 16*h**4\/3 - 13*h**3\/3 - 2*h**2 = 0.\nAnswer: -6, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 112 and 61672.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4998 and 3218908?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -62*d + 32*d = 184*d - 3638 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the second derivative of m**3\/6 - m. Let f be v(4). Suppose c - 3*x + 8 = -0, 0 = c - 2*x + f. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37 - 5 = 4*x - 2*o, 3*x = 4*o + 19. Suppose 5*q - 5*u = x + 21, 2*u = 5*q - 18. Let n = q - -78. What is the greatest common divisor of 32 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 18, 47, 104, 195, 326, 503?\n\"Answer: v**3 + 8*v**2 - 2*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100 - 10010?\nAnswer: -10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add 9.3 and -53058.\nAnswer: -53048.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -2*u**2 + 6*u + 10. Let r be p(4). Is r > 14\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60 + 2 = 29*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7737585 or -4?\nAnswer: -7737585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 86 - 22. Calculate the least common multiple of 8 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 4*z**2 + 6*z. Let a(v) = 11*v**2 + 21*v. Let r(i) = 2*a(i) - 7*k(i). Let u(h) = -3*h. Determine u(r(x)).\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((r*r**2)\/r)\/r)\/r)\/(r\/(r*r\/r**(1\/4)*r)) assuming r is positive.\nAnswer: r**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 325*z**2 + 633*z + 4. Calculate o(-2).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2143032.\nAnswer: 2, 3, 89293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -10*r**2. Let x(n) = 56589 - 56589 - 7*n. Give g(x(i)).\nAnswer: -490*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -12099 + 13356. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yrrrrrrrrrryrrrrryy. What is prob of picking 4 r?\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 129660624 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1151, -2293, -3435, -4577?\nAnswer: -5719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -41\/11?  (a) 3524  (b) 0.3  (c) 2  (d) -4  (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**3 + 253*m**2 + 3567*m - 731. Determine n(-238).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 237934407 and 4764.\nAnswer: 1191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(5*(sqrt(17) - (sqrt(17) + sqrt(136)\/(sqrt(16)\/sqrt(2)))) + (sqrt(204)\/(sqrt(12) - sqrt(12)*2) + 1*sqrt(17) + -1)**2 + 5).\nAnswer: -5*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 33\/151799?\nAnswer: 33\/151799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 5*d + 0 - 1 + 7*d**3 - 8*d**3 - 4*d. Let c(n) = 6*n**3 + n**2 - 6*n + 4. Give c(h) + 4*f(h).\nAnswer: 2*h**3 + h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -18*p**5 - 13*p**4 + 131*p**3 + 1472*p**2 + 151.\nAnswer: -1080*p**2 - 312*p + 786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 11169 bigger than 10955?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -35841 by 1.\nAnswer: -35841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x. Let p(z) = 3*z - 1. Let f be p(1). Suppose f*w = -2*w, 5*h + 3*w = 15. Let o(g) = h*g - g + 0*g. Calculate r(o(t)).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*u = u. Solve -l - 3*o + 7 = u, -l - o - 7 = -3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the third derivative of 173*y**6\/10 + 2033*y**4\/24 + y**2 - 625*y. Find the second derivative of d(x) wrt x.\nAnswer: 12456*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 232476 to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 52204044 - -14?\nAnswer: 52204102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -3576 (base 11) in base 6?\nAnswer: -33401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -131862 divided by -1293.\nAnswer: 43954\/431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o = -52*l + 48*l + 18, 0 = 2*l - 4*o - 34 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**2\/9 - 380*f\/9 - 18050\/9.\nAnswer: -2*(f + 95)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61 is divided by ((-494)\/208)\/((-2)\/16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mnouwwulwmuww. What is prob of picking 1 l and 1 m?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((0 - 1) + 0)*-1 - (50 - 45). Let j(y) = -15*y + 2. Let l(c) = -30*c + 3. Give i*l(q) + 7*j(q).\nAnswer: 15*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 9082868?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4352 and 748.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by 17569836?\nAnswer: -1\/5856612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 249640300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 77 divide 898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -666810 divided by -2790.\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**3 + 75*g**2 - 125*g - 287. What is the hundreds digit of h(-71)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4\/5 in 1\/4, 12\/5, 2\/35, 2\/19?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4317*h**3 + 14*h**2 + 18*h + 4 wrt h?\nAnswer: -25902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 686748035 to the nearest integer?\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -45*j**4 - 35*j**3 + 77*j**3 - 38*j**3 + 3 + (-2 + j**2 + 2)*(3*j**2 + 0*j**2 - j**2) to the form u*j + m + h*j**4 + t*j**3 + p*j**2 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c**2 + 336*c - 1914. Determine w(6).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -3*s + 21. Let f(l) = 2*l - 21. Let g(w) = -4*f(w) - 3*t(w). Let h be g(-7). Let o = 33 - h. What are the prime factors of o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1397 + -241. Let j be (-2 - 0) + 59129\/m. Let n = j - -587\/13. Calculate the common denominator of n and -71\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-3)*o)**30\/(o**(-18)\/o**(-18)) assuming o is positive.\nAnswer: o**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2425592 by 46646.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 63 = 13. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3551 (base 9) in base 10?\nAnswer: 2638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:31 PM and 10:59 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 776*g = -1274*g - 1374*g - 140384 for g.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 8) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -939171*l - 2301. Let u be o(-31). What is u rounded to the nearest 1000000?\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 385 - 388. Let i(h) = -h**2 - 7*h - 1. Let y be i(-6). Sort y, p, -26 in ascending order.\nAnswer: -26, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 4*c - 85 = -2*g, 2*c + 75 = 5*g. Suppose -4*m = -3*m + 10. What is the units digit of (30\/c)\/(2\/m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-1\/4)*(u**4\/u*u)\/u*u**(-4)\/((u\/(u**(4\/9)\/u))\/u))\/((u\/(u\/((u**0*u)\/u)*u)*u)\/(u\/(u*u**(-5))*u))**(-6\/7) assuming u is positive.\nAnswer: u**(-1751\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -32668, -32672, -32664, -32632, -32564, -32448, -32272?\nAnswer: -32024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 6, d: 4, i: 1}. What is prob of sequence dij?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 0.33*12\nAnswer: 3.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -147138 or -147215?\nAnswer: -147215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36*u**2 + 2*u**2 + 6*u - 4*u + 9*u**2 + 12*u**2 + 2*u**2.\nAnswer: -11*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0.02 times -33\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(-4)*(-2 + (3 - 91\/105))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -15*x + 19*x + 3 + 0 - 1 as n + w*x and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j - 3. Let i be s(3). Let g = 0 - i. Solve g = 5*u - 2*w + 31, -3*u - w - 7 = -u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 115 + -94. Suppose -4*h = -2*k + 44, k = -2*k - 3*h + w. What is the highest common factor of 84 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10928.\nAnswer: 2, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6)\/21 + (-1074)\/14. Let d = -35 - p. Suppose u = 3*u - d. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the first derivative of 0*a**2 - 4 + 2*a - 8\/3*a**3. What is the derivative of h(u) wrt u?\nAnswer: -16*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 130203 and 16983?\nAnswer: 390609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6.29 - 6. Let h = -27 - -26.89. Let w = i - h. Put w, -3, -4 in increasing order.\nAnswer: -4, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*j - b - 81, -b = -j + b + 18. Let z = 28 - -52. What is the greatest common divisor of j and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 45 and 7145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-36)\/(-126))\/((-2)\/(-2933))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1*(5 + (-5748)\/(-6)).\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1789760 or 1789761?\nAnswer: 1789760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 3, 2\/9, 2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -45.69 + 46. Let h = -0.21 + z. Put -1\/7, h, 0.4 in ascending order.\nAnswer: -1\/7, h, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2672  (b) 9  (c) 0  (d) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1367203988 to the power of 1\/2, to the nearest integer?\nAnswer: 36976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -127 + 248. Let z = f - 67. Suppose -5*u + x + 26 + z = 0, -2*u + 3*x = -19. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-8 - 500\/(-62))*(-2 - -1). Which is the nearest to 2\/13?  (a) -2\/13  (b) -0.2  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 15*w - 73 + 73 - 17*w. Let v(o) = -o**2 - 41 + 41. Calculate v(c(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.84 - 3054309.04?\nAnswer: -3054313.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 5*q + 3758 = 3*q, j + 926 = 4*q. Let y = -25391\/27 - j. What is the common denominator of y and -29\/6?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 9, 2.9, -1, -0.04, 3.\nAnswer: -7, -1, -0.04, 2.9, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 344319413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the second derivative of -5*a**3\/3 + 2*a**2 + 8*a. Let z(k) = -5*k + 2. Let b(d) = -4*s(d) + 9*z(d). What is b(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b**2 - 5*b + 7. Let t be d(5). Let m = 12 - t. Find the second derivative of -l**m - l + l - 2*l wrt l.\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3585 and 54?\nAnswer: 64530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Do -593 and -5837\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dsysysyyd. Give prob of picking 2 y and 1 d.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/171 and 77\/12456.\nAnswer: 236664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34 - 4 = 3*h. Solve 0 = -5*s + h - 35 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6 - (-4 - 9)) + -8 + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 + 13*n**2 + 8 + (-1692*n + 3320*n - 1934*n)*(5 - 5 + n))*(-2*n - n + n).\nAnswer: 586*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 0*5\/25 - 2\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*w - 25, 5*t - w + 40 = 2*w. Let i = -1.7 + -0.3. Let u = i - 2. Which is the second biggest value?  (a) 3  (b) u  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttttttttt. What is prob of sequence ttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 151853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of -32.802 and -0.076.\nAnswer: 2.492952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 541 is divided by 174.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2 + 7. Suppose -b*p - 5 = 0, 0*p + 73 = 3*h - 4*p. Let m = h - 15. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 505878908?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the second derivative of q**4\/12 + 2*q. Let x be f(-2). Suppose 2*g - x = g. What is the greatest common factor of 4 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*o - 12*o + 7*o + 893*o**2.\nAnswer: 893*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/(-8)*4\/(-26).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 984\/18 + (-4)\/6. Let l be 4\/5 + 4066\/(-95). Let c = k + l. Solve -4*s = 3*n - c, -5*s = 4*n - n - 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/115 in 5, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 2320123 (base 4) to base 11\nAnswer: 8960","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 2095*k**2 + 39*k - 40. What is the units digit of x(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -d + 154, i + 2*d - 5*d - 68 = 0. What is the remainder when i is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/(4\/20 + 22\/(-60)). What is the highest common divisor of i and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 238 divide 4016884270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 22*o**2 + 143733*o + 718125. Determine l(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 22, 25, 28, 31?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.4 - -1.5. Which is the smallest value?  (a) 0  (b) q  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 580286 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2027461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 2195*c - 2395. Let t(n) = 1085*n - 1198. Let q(w) = 3*f(w) - 7*t(w). What is the first derivative of q(k) wrt k?\nAnswer: -1010","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -4*s. Let h(k) = 30*k + 21. Let n(z) = z**2 - 18*z - 173. Let i be n(25). Let m(a) = a + 3. Let c(l) = i*h(l) - 14*m(l). Calculate w(c(o)).\nAnswer: -184*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 104 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*d - 80 = -3*d. List the prime factors of (-43*(-1 + d) - -1) + -3.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -117\/28 and 137\/16946496.\nAnswer: 16946496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 12 - 12 - 13*j**5 + (0*j**3 - 2*j**4 + 0*j**3)*(j - j - j).\nAnswer: -11*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 8, d: 7, y: 5}. What is prob of picking 3 d?\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4412, 8838, 13264, 17690?\nAnswer: 22116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 + (26 - 4) + (3 - 8 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -4*z - 44. What is v(-7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -532356817\/5 or -106471362?\nAnswer: -106471362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (0 - (-12)\/(-10))\/((-10)\/25). Suppose 4*d - n*h + 7*h - 284 = 0, -2*h = -d + 65. Let b = d + -13. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three sixteenths of a day in seconds?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -51*z**3 + 2*z**2 + 3*z + 221. Let n(i) = -48*i**3 + 3*i**2 + 2*i + 220. Let r(o) = -2*n(o) + 3*x(o). Find the first derivative of r(p) wrt p.\nAnswer: -171*p**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2561.\nAnswer: 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 t when two letters picked without replacement from {w: 1, n: 3, k: 5, t: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(5) - sqrt(125)*-1) + (-5 + sqrt(245))**2 + sqrt(245))*5.\nAnswer: -285*sqrt(5) + 1350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 15 - -19. Let p = b + -10. Suppose -p = -10*d + 2*d. Solve 23 = d*y - 4*x, 0*y - 3*x = -3*y + 21 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -3*o - 4. Suppose 4*t + 3*m = 5*m - 18, -5*m = 5*t + 30. Let y(b) = 2*b. Let f(v) = 2*v + 1. Let k(n) = 3*f(n) - 2*y(n). Determine t*k(g) - 4*d(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the first derivative of 3*s**2\/2 - 3*s - 7. Let p be a(2). Put -0.3, p, -2 in increasing order.\nAnswer: -2, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34844.\nAnswer: 2, 31, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13548*h**2 + 20 - 6931*h**2 - 6791*h**2 to p*h + z + n*h**2 and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -31 + 76. Let g = 190 + -172. Calculate the highest common divisor of b and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 13 - -10102200321?\nAnswer: 10102201000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the first derivative of -2\/3*c**3 + 102 + 0*c**2 - 20*c. Let z(d) = -5*d**2. What is i(z(k))?\nAnswer: -50*k**4 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 6*i - 9 = 0. Suppose -3*z = 5*b - 141, -b - i*b - 5*z = -118. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*j**3 - 2*j**2 - 6*j**2 - 4*j**3 - 13*j**2 as c*j + k*j**3 + f + a*j**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4907216298?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**0*g*(g*g**(2\/21)*g)\/g*g**(-3)\/g**7 assuming g is positive.\nAnswer: g**(-166\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*s = 139 - 83. Put -0.2, 4, s, 135 in increasing order.\nAnswer: s, -0.2, 4, 135","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -449364 divided by -4?\nAnswer: 112341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 2, t: 7}. What is prob of sequence tt?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6\/17?  (a) -3  (b) -1  (c) -2\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-56)\/64*632\/6 - 10\/(-60). Sort 8, 3, n, 2 in ascending order.\nAnswer: n, 2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 546590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 9*l**2 - 2*l - 1. Calculate the remainder when (-2)\/(((-4)\/58)\/1) is divided by i(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that -9*i**4\/8 - 23*i**3\/2 - 137*i**2\/4 - 33*i\/2 + 315\/8 = 0.\nAnswer: -5, -3, 7\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6960.3 * 740.\nAnswer: -5150622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and -323\/2967222 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2222978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3963 and 9.9.\nAnswer: 39233.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -554*l**2 - 8*l + 3. Let c(i) = -1108*i**2 - 19*i + 8. Calculate -2*c(y) + 5*v(y).\nAnswer: -554*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -9743\/7 at least as big as -1393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2174 is divided by 129?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -77 = -15*v - 2 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 996 + -984. Calculate the remainder when 53 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 34 + -32. Suppose 0 = -4*j + 20, 3*n + 2*j = z*n - 12. Let q be 1 + 0 - (-44)\/n. Let d(b) = 3*b**2. Give d(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 454 + -319. Is 12 a factor of l + 4*10\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -21 + (20 + 5 - (-63 - -79))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -4*c + 353. Let p(t) = 3*t - 233. Let q(v) = 5*m(v) + 7*p(v). Let o be q(18). Calculate the highest common factor of o and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*f + 53 = 6*j - 2*j, 16386*j - 2*f = 16388*j - 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -87 - -171. Does 38 divide ((-1026)\/(-4))\/(63\/u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (6\/3 - 2154)*4\/(-8)?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*a + 0 + 0)*(0*a**2 - 4*a**2 - 3*a**2) + (-2*a**2 - 2*a**2 + 3*a**2)*(2*a - 6*a - 2*a) in the form l*a**2 + d*a + k*a**3 + j and give k.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = -3*a - 16, -2*a = a + o - 4. Suppose 2*n = -a*n + 130. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2 + -1)\/(2\/(-4)). Let p(m) = -m + 2. Let y be p(o). Find the third derivative of -2*g**2 + 4*g**5 + g**6 - y*g**5 wrt g.\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1421 (base 6) in base 12?\nAnswer: -271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -24*q - 24591. Let t(b) = -17*b - 16395. Give 7*t(u) - 5*z(u).\nAnswer: u + 8190","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 67 + -36. Let c = -28 + y. Sort c, -2, -4 in increasing order.\nAnswer: -4, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 321*b - 226. What is the units digit of n(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/7, 225, 3, 0.3, -84, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1, -10, -17, -16, -1, 34, 95, 188?\nAnswer: 319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1762, -1756, -1748, -1738?\n\"Answer: n**2 + 3*n - 1766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**14*r)**(-5\/9))**(-4) assuming r is positive.\nAnswer: r**(100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 + 22 = 3*c. Sort -2, c, -5\/3, -4.\nAnswer: -4, -2, -5\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 78*18\/(-108) - -14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2150, 2227, 2304, 2381?\nAnswer: 2458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 7434 divided by 14?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0 and -1241890.\nAnswer: -1241890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*-2*((sqrt(17) + sqrt(425))*-4 + sqrt(17) + (-1*sqrt(187))\/sqrt(11) - (-3 + sqrt(68)\/(sqrt(32)\/sqrt(8)))).\nAnswer: -300*sqrt(17) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1805, -2316, -2827, -3338, -3849?\n\"Answer: -511*b - 1294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 2*k - 3. Suppose 0 = 81*l - 125 - 361. Calculate the lowest common multiple of n(5) and l.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5 + 7. Let o be ((-2)\/(-3)*-3)\/((-18)\/27). Which is smaller: j or o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -88*h = -o - 86*h + 1922, -3*o = 4*h - 5716. Does 60 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = -s + d - 48, -3*d = 3*s + 36. List the prime factors of ((-6)\/s)\/((-1)\/(-74)).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 16\/(-12)*(-135)\/6. Suppose -3*i - 2*i = k - c, -2*i = -4*k + 10. Solve -i = -4*f - 21 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4783774 and 32566.\nAnswer: 1714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 2*h, -4*h + 23 = 4*t + 11 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j - 57*y + 264 = 0, 4*j + 250 = 4*y + 186 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(48\/(-56))*12\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iqiqoiqamii. Give prob of sequence iiia.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 + -8 + -3 - (5 + 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 47912 is divided by 11976?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the first derivative of -7\/2*d**2 + 1\/24*d**4 + 0*d**3 - 3 + 0*d. Let w(p) be the second derivative of a(p). Let x(v) = -10*v**2. Give x(w(s)).\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -137, -281, -431, -587, -749, -917?\nAnswer: -1091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 plus -0.23?\nAnswer: 52.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12264 divided by 8.\nAnswer: 1533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7?  (a) -0.09  (b) 0.04  (c) 2\/51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 = -16*n - 9 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1355 - -15105?\nAnswer: 13640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 70 and 32410?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 86588297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of 373 and -0.019.\nAnswer: -7.087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45 + 42 = 3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 559 minutes after 2:31 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 50373113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i**5 - 36*i**4 + 44*i**3 + 276*i**2 - 720*i + 432 = 0 for i.\nAnswer: -3, 1, 2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 3*v**2 - 15*v - 93. List the prime factors of l(-22).\nAnswer: 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3871, 4033, 4195, 4357, 4519?\nAnswer: 4681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:17 PM and 5:14 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 - (11 + -11 + 15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 30 in 19, 3\/2, -1?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rsaaarr. What is prob of sequence ra?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*n = -1955 + 12482. Calculate the remainder when 63 is divided by n\/(-58)*4\/6.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjjjijjjjijjjjiijjj. What is prob of sequence iiij?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in fourteeen ninths of a week?\nAnswer: 15680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = c**2. Let d(p) be the third derivative of 0*p**3 + 10*p**2 + 0*p - 3\/2*p**4 + 0. Give s(d(v)).\nAnswer: 1296*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4 + 100694381?\nAnswer: 100694385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2, 0.2, 3, -32, 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10111000012 - -121221?\nAnswer: 10111122010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 20\/5*((-5)\/6)\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 170*y = 106 + 456 + 1988 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2029.73 and 2.\nAnswer: 4059.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -4867296, -4867330, -4867422, -4867602, -4867900?\n\"Answer: -5*d**3 + d**2 - 2*d - 4867290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (5974\/(-56032) - 2\/(-32))*(-8)\/(-6)\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -3*a + 2*n - 10, 0 = a - 2*n + 8. Let g(l) = 5*l - 35 + l**2 - 37 + 5*l - 25 + 104. Determine g(a).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**3 - s**2 + 4*s. Suppose -3 = l - 0*l. What is the least common multiple of i(l) and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (10 - 0) + 2\/1. Let p be (-4)\/16 + 3\/i. Let m = -1.7 - 0.3. Is p not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-116)\/9 - -13) + (12\/(-81))\/1?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8*c**3 - 105 - 56*c**3 + 6*c**3 + 468*c**2 - 26*c**3 + 25 - 624*c.\nAnswer: -4*(c - 5)*(c - 2)*(17*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 2 = -5*y + 18, 4*j - 4 = 0. Sort 5, y, -8, 0 in ascending order.\nAnswer: -8, 0, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -38397184*-1\nAnswer: 38397184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4 + 7. Suppose 5*z + o = 25, -j*z = z - 3*o - 20. Which is the closest to 2?  (a) 7  (b) z  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -o**2 + o - 1. Let i(v) = -8*v**2 + 8*v - 7. What is -5*h(s) + i(s)?\nAnswer: -3*s**2 + 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence px when two letters picked without replacement from {p: 1, r: 2, x: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 116\/3 - 40*x + 4\/3*x**2.\nAnswer: 4*(x - 29)*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 - (17 - 38) - (4 - (3 + -4 + -7))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1972731 and 72709?\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 589 minutes before 2:03 PM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -17 + 19. Let x = 9 + -7. What is the second derivative of 3*o + d*o**x - 10*o**2 + 9*o - 7*o wrt o?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-700)\/(-5082)*33 - (1 - (-3 - 0)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 16 = -3*v - v, -v = q - 5. Let m = v - 4. Solve 3*t - p - 15 = -4*p, -m*t + 9 = p for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that 10*f**5\/3 + 278*f**4\/3 - 6950*f**3\/3 - 16558*f**2\/3 + 52804*f\/3 - 29584\/3 = 0.\nAnswer: -43, -4, 1, 86\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/39*69 + -12?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (648\/1080)\/(3\/20).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-6)\/(-3) - (2 + -1). Suppose -2*i + 17 + a = 0. Suppose -5*t + 30 = -0*t. What is the highest common factor of i and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 113\/6616582 and 73\/1566.\nAnswer: 178647714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -118 times -194686\nAnswer: 22972948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2859702 is divided by 64.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u**2 - 11. Suppose 0 = 2*k + 3*o - 40, 0*o + 5*o = -4*k + 80. Let a = 16 - k. Calculate the lowest common multiple of 1 and f(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 43 or 28\/1401?\nAnswer: 28\/1401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1858*n**2 + 103*n**2 + 773*n**2 - 79*n**2 + 1511*n**2 + (-3 - 2 + 3)*(0 + 0 - 3*n**2).\nAnswer: 4172*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/((-45)\/390*4).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0004147135108 rounded to six dps?\nAnswer: -0.000415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence menn when four letters picked without replacement from nenehhhenmeeezzenmzn?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 - -44 - (-38480)\/(-728)?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-104)\/36 - -4) + 510\/27.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Are -7922035\/2 and -3961018 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 12*n = 120. Let b(w) = -9 + 18 + n*w + 17 + 5. Let c(a) = -22*a - 46. Let v(i) = -8*b(i) - 5*c(i). Differentiate v(z) wrt z.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*i**2 + 10*i + 9*i - 30*i + 11*i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -29*l + 160. Calculate the least common multiple of 30 and k(5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.3 + 0.3. Let h = -23.7 + 19.7. What is the nearest to k in 1\/2, h, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3687653261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 14*g**2 + 117*g - 3. Let r be m(-9). What is the greatest common factor of 104 and r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*b + 40 = -6*b. Let c = 726 - 426. Suppose 4*q + c = -j + 6*j, -b*q + 260 = 5*j. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - q - 4*q + 19 = 0, 5*q + 9 = 2*a. Let p be 15\/(-60) - (-22)\/(-8). Let h = a - p. What is the highest common divisor of h and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1286*d + 21398 = 1299*d. Is 19 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = 3*s - 504. Suppose -4*m + 53 = -3. What is the greatest common factor of s and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is n in -8611*n**3\/2 - 525272*n**2 + 1067642*n + 248 = 0?\nAnswer: -124, -2\/8611, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 105493 and 118531.\nAnswer: 304980263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*((sqrt(11) - (sqrt(11) + 1))*3 + (sqrt(22) + sqrt(88)\/sqrt(4) + sqrt(22))\/sqrt(2)))**2*-1.\nAnswer: -3888 + 648*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5178425, 10356955, 15535485, 20714015, 25892545?\nAnswer: 31071075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -279314619 by -870139.\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -2*z**2 - 14*z + 2. Let a be u(-7). Solve 0 = -f - a*f - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eurerryeyeyeu. Give prob of sequence ryu.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1189648?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/4 + (-890)\/20. What is the common denominator of 533\/65*(0 - 10\/f) and -5\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 124 = 3*s + n, 27*n - 25*n = -2*s + 80. Suppose 0*h = 4*h - 740. What is the remainder when h is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 3 - 3)*(v + v + 0*v) + (-v - 6*v - v)*(2 - 1 - 3) - 471091 + 1000*v + 471091 to d + w*v and give w.\nAnswer: 1014","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = 5*h - t, 10*t + 7 = h + 8*t. Solve 0*m - m + h = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, 3.77, -6, 4.\nAnswer: -6, 3.77, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*o**4\/4 - 3*o**3 - 9*o**2\/4.\nAnswer: o**2*(o - 3)*(5*o + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76 = -81*y + 58 + 1152. Let k(f) = -f**3 + 14*f**2 + 4*f - 51. Determine k(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence du when two letters picked without replacement from rcdlruuucluuudl.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 - 4. Let g be 19\/(-108) - 7\/(-28). Which is smaller: k or g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 165 - 110. What is the remainder when ((-8)\/2)\/(-4) + 162 is divided by b?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3521695 by 3521695.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -5*(0\/5 - 1). Let s(g) = 1101*g + 2*g**2 - m*g**2 - 1101*g. Let r(z) = -2*z**2 + 0*z**2 - 5*z**2. Determine s(r(k)).\nAnswer: -147*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the third derivative of b**4\/24 - b**3 + 8*b**2. Let t(c) = c + 0 - 1 - 4. Calculate 7*t(d) - 6*y(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3)\/(-2)*4\/6. Let a = s - -3. Determine h, given that -3*h**2 + a*h**2 - 2*h**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.4 and -167?\nAnswer: 66.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -26*l**3*u**2 + l**3*u*z + 6*l**3*u + 3*l**3*z - l**2*u**2*z - l*z wrt u?\nAnswer: -52*l**3 - 2*l**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2900 and 6855880?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b**2 - 7*b - 11. Give k(-5).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1540?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -9804041 less than 0.5?\nAnswer: 9804041.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 smaller than -5918\/3687?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c + 5*s + 6 = 0, -3*c + 3 = 1219*s - 1217*s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 413571 > 413571?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 37 + -18. Let m = j + -9. Solve 4*p + 4*q = 24, 0 = -5*q + 3*q + m for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2 + -2052025?\nAnswer: -2052023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01423213 to three decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 2*o - 41. Let t = -11 + 29. Let k be w(t). Which is the closest to -2\/7?  (a) -24  (b) k  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + -2*(sqrt(51)\/sqrt(3) + sqrt(17))**2 - sqrt(153)\/(-2*sqrt(18)\/sqrt(2)).\nAnswer: -139 + sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 9) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -347 (base 10) to base 9.\nAnswer: -425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4383627?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the first derivative of -z**2\/2 + 6*z + 8. What is p(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -16, -69, -218, -511, -996, -1721, -2734?\nAnswer: -4083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, z: 3}. Give prob of sequence zyz.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2*1*(14 + 502\/(-36)). What is the nearest to -1\/3 in 5, 0, 2\/121, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 2 y when three letters picked without replacement from yyzyzeyzyyypzyy?\nAnswer: 144\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 606 + -590. What is the highest common factor of a and 1024?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 71075168, 142150330, 213225492, 284300654, 355375816?\nAnswer: 426450978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.4, -1\/65, 3\/8, 3, 5, 1359?\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5440189 to the power of 1\/2, to the nearest integer?\nAnswer: 2332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-123)\/164 + 4\/(32\/6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = 6*r + 16. Let v(y) = 6*y**3 + 10*y**2 - y + 8. Let u(m) = 5*m**3 + 9*m**2 + 7. Let h(z) = r*v(z) + 5*u(z). What is the units digit of h(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -5*y - 127, 0 = 3*n + 8 + 4. Let a be 8\/(-2)*1 - y. Let z(i) = 9*i + a*i**2 - 11*i**2 - 10*i - 1. Calculate z(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 1.1, -18.5, 2 in decreasing order.\nAnswer: 2, 1.1, -2, -18.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 6*g + 1. Suppose -3*v - 4*n = 20, 0 = -v - 2*n + 5*n + 15. Let w = 1 - v. Determine c(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/(75\/(-3)))\/((-64)\/(-80)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (35*d**3 - 9*d**3 - 13*d**3)*(-4 + 0 + 5) + (1 - 1 - d)*(-2*d**2 + 2*d**2 + d**2) + 275 + 6*d**3 - 275.\nAnswer: 18*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (10 - -2) + -9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 12.6 + -12.412. Let s = 0.812 + b. Put -0.5, s, 7\/6, -4 in decreasing order.\nAnswer: 7\/6, s, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 65\/3285918 and -73\/8.\nAnswer: 13143672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-4)\/((-20)\/(-15)) - -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1403\/2822 + 4\/1411. What is the second biggest value in -5, y, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -24443, -24485, -24525, -24563?\nAnswer: -24599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**2 + 6*y - 11. Let j be i(2). Solve -j*x - 22 = -f, 3*f + 29 = 3*x - 7*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from illmsm. What is prob of sequence ml?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*(d*d**(-2\/13))\/d)**(13\/6)\/(d**(-3\/11)\/(d*d**(-1\/7)*d)))**(-2\/181) assuming d is positive.\nAnswer: d**(-1831\/41811)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -1, -126, 3\/2, 2\/145, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g + 5*o + 18, -g + 5*o = -0 - 12. Let x(i) = -32 - 51 + 7*i + 13*i - i**2. Let z be x(14). Put z, g, 5 in decreasing order.\nAnswer: 5, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1123501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -5*z + 25. Suppose 0 = -5*j - 3*p - 93, 4*j + 2*p - 10 + 86 = 0. What are the prime factors of h(j)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m**3 - m**2 - m + 1. Let l(q) = -2*q**3 + 4*q**2 + 4*q - 11. Let y(c) = -4*b(c) - l(c). What is the first derivative of y(f) wrt f?\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 73681088 and 287560.\nAnswer: 8216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:11 AM and 3:02 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2274?\nAnswer: 2, 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -132*z**4 + 226 wrt z?\nAnswer: -528*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1559923?\nAnswer: 211, 7393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g + 4*w = -12, 5*g - 137*w + 9 = -136*w for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 10*z**2 + 5*z**2 - 4*z**2 - 13*z - 167. Is 17 a factor of p(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*c**3 + 190*c + 57*c**2 + 75*c**2 - 194*c - 35 - 97 = 0. Calculate c.\nAnswer: -33, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 173, -0.1, 0.07.\nAnswer: -1, -0.1, 0.07, 173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 2*n - 22 = -3*n, 0 = n - 4. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/q**(-1))**(3\/26))**(-10)*(q*q**5*q*q)\/(q*q\/((q\/(q**2*q))\/q)*q)*q*(q**(1\/4)*q)\/q*q\/q**(-1\/2) assuming q is positive.\nAnswer: q**(127\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2494?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2 - -6. Let u = b + -5. Sort u, -2\/15, -2 in decreasing order.\nAnswer: -2\/15, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 8\/85, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**2 + 11*k - 25. Calculate q(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 - 6) + 2 + 0 + -9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 - 5. Let a = -12.134 + -0.266. Let n = 12.3 + a. Put q, -0.4, n in ascending order.\nAnswer: q, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 229 and 181826.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-39 - (-23 - 3)) + (2 - -19).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/(-8))\/((-8)\/18*(-51)\/(-136))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((87 - -5)\/368)\/(2\/(8\/9)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1256513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**2 + 12*x + 15. Let h be r(-9). Let s be h\/36 - 886\/(-3). Suppose 4*t + 234 = 5*w - 252, -s = -3*w - t. Is w a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 543052413 (base 6) to base 15\nAnswer: cad9dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve p**5 + 7*p**4 - 40*p**3 + 44*p**2 = 0.\nAnswer: -11, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p**2 + 27*p - 290. What is g(9)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 4*d = 5, -4*c + 7*d = 3*d - 8. Is -3 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/5, -1, 206 in increasing order.\nAnswer: -1, -4\/5, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*f + f + 0*f + 0*f - f + 3*f + (-2 + 1 + 3)*(1 - 1 + f) - 2 + 2*f - 2*f + f.\nAnswer: 3*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.6 + -0.3. Let l(n) = 45*n + 111. Let g be l(4). Let q = g - 7273\/25. Which is the nearest to 0?  (a) q  (b) 1\/4  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a. Let z(d) = -51*d**2 + 14 + 128*d**2 - 14. Give z(v(u)).\nAnswer: 77*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/13, 0.21, -21\/5, 5, -0.6, 4\/65?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (32\/8)\/((-260)\/(-5)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12 - 2 - -5) + 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -11, 1, -2\/13 in descending order.\nAnswer: 2, 1, -2\/13, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 2042567301 - 2.2?\nAnswer: 2042567298.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.105 + -149209646197?\nAnswer: -149209646196.895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -162462, -160932, -159402?\nAnswer: -157872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -576, -1719, -3618, -6267, -9660, -13791, -18654?\n\"Answer: f**3 - 384*f**2 + 2*f - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:31 AM and 8:48 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5035?\nAnswer: 5, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 776 a factor of 25021914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mxxm when four letters picked without replacement from {x: 4, m: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -116760, -933972, -3152122, -7471680, -14593116?\n\"Answer: -116745*y**3 + y**2 - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*i + 778 = 276 - 314 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -13*q**3 + 7*q**2 + 143. Let n(b) = -4*b**3 + 2*b**2 + 48. Calculate -2*f(u) + 7*n(u).\nAnswer: -2*u**3 + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 32, 275, 928, 2195, 4280, 7387, 11720, 17483?\nAnswer: 24880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 5*f**2 - 3*f - 95. Let p(j) = j. What is p(n(s))?\nAnswer: 5*s**2 - 3*s - 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -195*o + 169. Let x(j) = -7*j + 6. Let g(y) = -6*v(y) + 169*x(y). Let c(r) be the second derivative of r**3\/2 + 3*r - 16. Determine c(g(f)).\nAnswer: -39*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:24 AM and 6:11 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -24833605 - -6943605. What is a rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 36, 62, -3419, -5, 4 in descending order.\nAnswer: 62, 36, 4, -5, -3419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -16878.7+97697.9011\nAnswer: 80819.2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 57797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 280649 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*a**2\/5 - 8781*a - 920682\/5.\nAnswer: -3*(a + 21)*(a + 14614)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/(-27) + 544\/36 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2539 less than 2540?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (9\/(-24))\/((-1558)\/18696)\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s = -4*l + 20, 12325 - 12355 = -6*l + 5*s for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x*x*x\/(x*x*x**(-6)*x*x))*x**(-3))\/(x**(-2)*x*x**(1\/2)) assuming x is positive.\nAnswer: x**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 13 - 4602*y**2 + 4600*y**2 - 11 - 18*y + 3*y**4 + 14*y**3 as p*y**2 + n*y**4 + b*y**3 + c + v*y and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ooooooeooooeeooeoooe. Give prob of sequence eeoo.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4968565670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 623?  (a) -1  (b) -0.5  (c) 2\/5  (d) -0.04  (e) -2\/15  (f) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*s + 13*s = 60. Does 7 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5883*0.4\nAnswer: 2353.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 2*n - 12. Let k(f) be the first derivative of -f**3\/3 - 15*f**2\/2 + 32*f + 21. Calculate the remainder when k(-14) is divided by m(14).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhhhhkhkhxxhxhhhh. Give prob of sequence xhxh.\nAnswer: 33\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2 - 5\/2) + (-166)\/(-664). Which is the fourth biggest value?  (a) -0.4  (b) -0.13  (c) f  (d) -5\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1151827, 1151834, 1151855, 1151896, 1151963?\nAnswer: 1152062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 5*n**3 - 4*n**2 + 5*n + 124. Let u(p) = 11*p**3 - 9*p**2 + 11*p + 247. Let a(j) = -6*u(j) + 13*y(j). Is a(0) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 442570 is divided by 727?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3555 (base 6) to base 10.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(133)*2 - sqrt(133)) + sqrt(133))*4 - (sqrt(133) + sqrt(133)*2*-6))\/(-2*sqrt(343)*5 - sqrt(343)).\nAnswer: -19*sqrt(19)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 185 divide 9213896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1609 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-17*(-28)\/1190)\/(84\/(-150))\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 147 - 271. Let t = 3489 + s. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 (base 16) in base 5?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is dcbc - 7e8?\nAnswer: d4c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 y when two letters picked without replacement from byyyyyybyyy?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2003338, -8013354, -18030048, -32053420, -50083470, -72120198, -98163604?\nAnswer: -128213688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3\/(-6))\/(((-35)\/10)\/7). Solve -3*j = -8 - h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 1839807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes after 2:02 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 3*g + 8 = 0. Suppose -x = -g*p + 389, 3*p - 2*p - 111 = 3*x. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + sqrt(1053) + 2)*-3*-3 + -4)**2*-5.\nAnswer: -431585 - 25920*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ipiipii. Give prob of sequence ipp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 147 and 35649.\nAnswer: 1746801","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -5 - (-38 + 23) - (33 + 0 + -1)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1331133.\nAnswer: 3, 443711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.1, -1.1, 541, -21\/4.\nAnswer: -21\/4, -1.1, 1.1, 541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 162886*f**2 + 2*f - 162566*f**2 - 2 - 2*f to d*f**2 + u + w*f and give d.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = f**3 + 23*f**2 + 23*f + 44. Let s be a(-22). Suppose 4*g - 3*c - 34 = -14, 0 = -5*g + 3*c + s. Solve 0 = -2*p - 8, 3*q - g - 6 = 2*p for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3 - (-1 + 9\/3). Let l be (1 - -50) + 3\/s. Suppose 3*t - 5*y = 8, -y - 3*y - 16 = -4*t. What is the greatest common factor of t and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the second derivative of -v**5\/20 - v**4\/12 + v**3\/6 + 2*v**2 - 2*v. Let s be a(0). Which is bigger: 3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 4 = 0, 0 = 4*w + 3*f - 27 + 4. Suppose -2*k = 3*j + 2, -3*k - w = 5*j + 2*k. Let g be 4\/6*3\/8. Is j at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.1 - -2.9. Let p be (12 - (-290)\/(-25))\/(1\/(-5)). Let f be (-8)\/(-28) + 0\/(-3). Which is the second biggest value?  (a) i  (b) p  (c) -1  (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 265*x**4 + 220 + 199*x**4 - 227*x**4 wrt x?\nAnswer: 948*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -b*j**5 + 71*b*j**3 + 204*b*j**2 - 2*b wrt j.\nAnswer: -60*b*j**2 + 426*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 6110325 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -2 - (-1 - (-83)\/(-85)). Let m = c - -12\/85. Sort 0.05, 3, m in increasing order.\nAnswer: 0.05, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -2*j + 2. Let b be d(1). What is the third smallest value in 1, b, 44\/5?\nAnswer: 44\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -30\/47, 0.4 in decreasing order.\nAnswer: 0.4, -30\/47, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 584*-0.04.\nAnswer: -23.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-22)\/(-4))\/((-649)\/(-354)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -245443 + -101?\nAnswer: -245544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -5*i - 7, 0*i = i - 4*s - 13. Let a = 2 + 2. Suppose -a*h = 9 - 25. Sort 1, h, i in descending order.\nAnswer: h, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -9*o**3 + o**2 + 3*o. Suppose 9*u = -54, -6*u + 2*u - 26 = s. Let f(k) = -k**3 + k. What is s*p(j) + 6*f(j)?\nAnswer: 12*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*n**4*o**2 - 344234*n**3 + 20*n*o**2 + 5468*n wrt n?\nAnswer: 36*n**2*o**2 - 2065404*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3.2 - 8.2. Let r = 8.64 - 4.64. Which is the nearest to 1?  (a) r  (b) -1.1  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1565 - 2324. Does 9 divide ((q\/(-2))\/11)\/(2\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u**3 - 27*u**2 - 52*u - 52. What is m(-25)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the third derivative of o**6\/120 - 17*o**5\/60 - 3*o**4\/4 + 3*o**3 + 2*o**2. Suppose 0*p = 9*p - 110 - 52. Is 6 a factor of v(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-b + b - b**2)*(6*b + 2*b + 10*b)*(-281*b + 295*b + 0 - 2).\nAnswer: -252*b**4 + 36*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((sqrt(77)*2)\/sqrt(11) + sqrt(77)\/(-1*sqrt(11)) + 2*(sqrt(7)*1)**2*5) + -1.\nAnswer: 5*sqrt(7) + 349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 53313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a**2\/4 + 209777*a\/4 = 0.\nAnswer: 0, 209777","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (408 - (4 - 5)) + (-40)\/10. Calculate the highest common factor of z and 540.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 868056 to the power of 1\/2, to the nearest integer?\nAnswer: 932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 40\/4*(105\/(-25))\/7*(-124)\/(-31).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**3 + 23*n**2 + 39*n + 277. Suppose 116*z = 124*z - 200. Let x be o(z). Find g such that 0 + 2*g**x + 2*g + 1\/2*g**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -42  (b) -49  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(432) + sqrt(3) + sqrt(48)*1 + sqrt(48) + sqrt(15)\/(sqrt(5)*-3*-2).\nAnswer: 127*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 75 = -18*w - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 17961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 14532 divided by 1038\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -807 in -4, -3\/5, -0.3, 9\/2, 3\/5, -0.06?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 96 + -2181346749.696\nAnswer: -2181346653.696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 741563 is divided by 370777?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Add -90603 and 5078.\nAnswer: -85525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 861 or 864?\nAnswer: 864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add 40575 and 140464.\nAnswer: 181039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (3 - 7\/5)*(-2375)\/100\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (45\/6 - 5)*(-8)\/(-5). Suppose -g*x + 3*h = -1521, -5*x - 5*h + 1956 - 46 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 + (-68 - -40) - (-2200)\/170?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**3 + 15*m**2 + 18*m - 32. Determine x(16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**3 + 45*t**2 + 3*t + 150. Let f be k(-45). Solve 5*b + 80 = -f*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 11766, 23431, 35112, 46815, 58546, 70311, 82116?\n\"Answer: v**3 + 2*v**2 + 11652*v + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100111011010100010101 - 101?\nAnswer: -100111011010100011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/276465 and 13\/57926.\nAnswer: 6082230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4521, 4517, 4503, 4473, 4421, 4341, 4227, 4073?\nAnswer: 3873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.1  (b) 2  (c) 16\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g + g - 32. Let u be g + (-6)\/3 + 2. What is the remainder when 26 is divided by ((-63)\/(-28))\/(2\/u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 3 + (1 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + -3 - ((11 - -10) + -37 - -58)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the first derivative of 2*f**3 + 3. Let p(k) be the second derivative of 0*k**3 + 1\/6*k**4 + 0 + 2*k + 0*k**2. Give p(d(n)).\nAnswer: 72*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/(-42)*(5\/(-90))\/((-20)\/(-120))\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q = y - 4*y + 6, 13 = 4*y + q for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (7\/(-21))\/((-2)\/3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3086*b - 2889*b + 6202*b.\nAnswer: 227*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 150 + 320. Let b = -250 + a. Suppose 0 = -6*t + t + b. What are the prime factors of t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u - 45 - 15. Calculate the common denominator of (0 - u)*3\/(-39) and 9\/7.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -109*q**2 + 188 with respect to q.\nAnswer: -218*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.021 times 132.8?\nAnswer: -666.7888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 35, -2268, -2 in increasing order.\nAnswer: -2268, -2, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:16 PM and 9:20 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 19913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 2*q**3 - 9*q**2 - 2*q - 8. Give t(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 823, -10, 4, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a + a + 4*v = -13, -3*v + 3 = 5*a. Factor 39*y**3 - 3 - 49*y**a + 17*y**2 - y - 3*y.\nAnswer: -(y - 1)**2*(10*y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -2*n**3 - 22*n**2 + 53*n + 25. Let t be f(-15). Calculate the greatest common divisor of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 37118*r - 37280*r - 9396 for r.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -35, -1, -5554?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -4929*z + 1069584. What is l(217)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s**2 - 8*s + 13. Let h be y(-9). Suppose -5*u + h*u = -102. Calculate the remainder when 63 is divided by (-4)\/34 + 1644\/u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z**2 + 2*z + 1. Let a be s(2). Let i(y) = 12*y - 1. Let t(l) = -11*l + 1. Let k(j) = -4*i(j) - 5*t(j). What is the units digit of k(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -5, 3, -2, 4, 783, 27 in decreasing order.\nAnswer: 783, 27, 4, 3, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -530 by -4809.\nAnswer: 530\/4809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4320761540 to the nearest integer?\nAnswer: 65732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = -5*t - 0*c + 47, 2*t - 5*c - 35 = 0. Calculate the least common multiple of 14 and t.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 104 divide 32045127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1149521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -43\/6375 and 47\/66300.\nAnswer: 331500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 463741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 29, 60, 87, 104, 105, 84, 35?\n\"Answer: -g**3 + 4*g**2 + 26*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 - -5. Let d(u) = 3*u**2 - 4*u - 9. Let v(b) = -b**2 - b - 1. Let g(m) = d(m) + 2*v(m). What is the units digit of g(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 + 11 = -5*y. Suppose 4*q + 0*d - 2*d = 20, 5*q - y*d = 24. What is the lowest common multiple of 52 and q?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 508994?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a - l + 35*l = -184, -2516 = -4*a + 3*l - 2473 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2 + 0)*(-2*p + 2 - 2) + 4*p - p - 4*p + 2*p - 3*p - p + p - 5*p + 3*p + 1 - 1 - p - 2*p - 2*p - 2*p + 0*p + 0*p - p.\nAnswer: -14*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 20*s**3 + s**2 + 15*s - 10. Let r be w(4). Suppose 0 = -3*g - 131 + r. Does 81 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2 and 0.72.\nAnswer: 1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 * 73529840.\nAnswer: 14705968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*k - 3*k + 0*k)*(-723*k**2 + 115*k**2 - 840*k**2)*(-2 + 1 - 1)*(5*k - k - 3*k) to the form r + p*k**2 + s*k**4 + v*k + u*k**3 and give s.\nAnswer: -2896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - ((-28)\/98 - 15\/21).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 74403695?\nAnswer: 5, 14880739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 times 332\nAnswer: -132.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 4  (b) 0  (c) -5  (d) 20  (e) -18  (f) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 2*t + 12 - 18)*(69 + 9*t - 69).\nAnswer: 18*t**2 - 18*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1*(-6)\/8*-4. Let n(m) = 2*m**2 - 2*m + 1. Calculate n(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1000121 - 2?\nAnswer: 1000112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 3*i**2 + i - 1. Suppose 4*t + 2 = -2. Let b = -1 + t. Calculate the smallest common multiple of s(b) and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (7 + -10)\/(9\/12). What is the nearest to -1\/3 in 1\/4, m, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:20 PM and 4:15 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8013.661km to micrometers.\nAnswer: 8013661000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -v*y**2 - v*y - 23*v - 26*y**2 wrt y?\nAnswer: -2*v*y - v - 52*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 121*u = 122*u - 12. Let j be -14*u\/16*12\/(-7). Solve -5*w + 0*s = -s - 10, -j = -w - 3*s for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*x - 3*x**5 - 3*x + (2*x - x - 2*x)*(-9 - 2*x**4 + 9) - 6*x**5 + 2*x**5 + 2*x**5 + 8 + 360*x**5 + 17*x**2 - 235*x**5 - 17*x**2.\nAnswer: 122*x**5 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k + k + 4*k)*(-3 + 6 - 4) + (2*k - k - 3*k)*(-7 + 2 + 1).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 78789, 151957, 225125, 298293?\nAnswer: 371461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6 - 9. Let h = 0.2 - 0.1. Let k = -0.1 - 0.3. Which is the nearest to h?  (a) k  (b) o  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4b59 - -2?\nAnswer: 4b5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the second derivative of 5\/12*o**4 + 0*o**3 + 0 + 0*o**2 + o. Let v(p) = -3*p. What is g(v(w))?\nAnswer: 45*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1 + 4. What is the remainder when 41 is divided by (11\/a)\/(1\/3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*y**2 - 195*y + 190.\nAnswer: 5*(y - 38)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -10  (b) 2\/11  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60*i = -58*i - 8. Suppose 0 = -4*h - i*h + 504. Is 45 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.2611762 less than -440?\nAnswer: -444.2611762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-4) + (-6)\/(-84)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 20 + -32. Let p = f + 11.98. Let z = p - 0.08. Sort -2, z, 3\/2.\nAnswer: -2, z, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence be when two letters picked without replacement from gotoxbgte.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -50*q**2 + 45\/2*q**3 + 65\/2*q - 5.\nAnswer: 5*(q - 1)**2*(9*q - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 16 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4c43 + -e3c?\nAnswer: 3d06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-6)\/s*s)\/((s\/s**(2\/5))\/s*s*s)*s**(-3)\/(s**(-1\/3)*s) assuming s is positive.\nAnswer: s**(-169\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -5\/34472334?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -240963560*b**4 - 377644065 with respect to b.\nAnswer: -963854240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:56 PM and 11:29 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 54014 and 1434?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 39383 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 d = 13 - 13.06. Let r = -10.6 + 9. Let q = r - 0.4. Which is the smallest value?  (a) d  (b) q  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.1 + -0.1. Let b = -407.53 + 407.63. Let d = 4.1 - 0.1. What is the nearest to b in r, -0.9, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.166 + 0.134. Which is the third smallest value?  (a) 4  (b) 0.5  (c) q  (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/(-28)*-8*6\/(-36).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -24 - -35. Suppose r*v - 7*v + 304 = 0. Let s = v - -109. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 461431, 922858, 1384311, 1845790, 2307295?\n\"Answer: 13*d**2 + 461388*d + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 243 less than 1212\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 3321210, 3321212, 3321216, 3321222, 3321230?\n\"Answer: h**2 - h + 3321210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/(-3) - (-29)\/3. Suppose -5*o - d = -3*d - 31, 2*d = -3*o + x. Which is the second smallest value?  (a) 1  (b) 0  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1 - 3)*50\/10. Let h(x) = 40*x - 1. Let m be h(-1). Let o = y - m. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-702)\/(-5) + (-40)\/100. Let u = k - 139. Solve -5*i + 0 - u = -4*g, 0 = 5*g - 20 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 13653 and 21.\nAnswer: 95571","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**2 - 2*h - 3. Let r = -23 - -29. Suppose 0 = 3*k + r. Give f(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4 - 2. Let h(b) = 0 - b**2 - 6 - c*b + 8 + b**3. Determine h(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1800579 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6186 is divided by 105.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 99, 3628, 21 in ascending order.\nAnswer: -3, 21, 99, 3628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ycdhdrhyzzhrccyc. Give prob of sequence chz.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 10*f**2 - 110*f - 1003. Determine v(-8).\nAnswer: 517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10 - -27) + -18 - 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/3)\/3*-1*1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 150656672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*b**2\/5 - 3234876*b - 32348772\/5 = 0. Calculate b.\nAnswer: -2, 5391462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:05 AM and 10:49 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/804 in -0.2, 39, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.02062 rounded to three decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -1*29.837\nAnswer: -29.837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1675 + 1675.0000003581. Round c to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 63*q - 77*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + (-22 - -13 - (-3 + 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/11, -216.1, 17, -297 in decreasing order.\nAnswer: 17, -2\/11, -216.1, -297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -7 + (611\/102 - (5 + -6)) and 107\/10.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -15838 bigger than -15615?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rvwwczrnv. What is prob of sequence vw?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:54 PM and 2:51 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60*a**3 - 76*a**3 + 12*a**3.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*c**3*j**3 + 6*c**3*j + 8*c**2*j**3 - c**2*j**2 - 14*c*j + 2*j wrt j?\nAnswer: 12*c**3*j + 48*c**2*j - 2*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g - 8 = -2*g + b, 8 = -3*g + b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.12 + 0.12. What is the nearest to 0 in u, -0.4, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -140285 + 70?\nAnswer: -140215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.017631393 rounded to five dps?\nAnswer: 0.01763","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 4*16903300\nAnswer: 67613200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*a - 294 = 21*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-20)\/5*(-5 + 3 + 1). Differentiate -33*q**3 - i*q**3 + 188*q**3 - 177 wrt q.\nAnswer: 453*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 3*i - 6. Calculate o(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 135 and 72495.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -65*i + 63*i = w + 12, -3*i = -3*w for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (2 - 0) + (9 + -6 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 - 11 - ((2 - 4) + 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 56\/(-126)*-6*3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20334*a + 20337*a - 40678*a.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 18 and 286.\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 14 - 12\/(-8)*-2. Let l be 0 + (d - 6\/2). Is (1041\/(-12))\/((-2)\/l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26 divided by 14.\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 0, -8, -33 in decreasing order.\nAnswer: 0, -4, -8, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q\/q**3*(q\/q**(-2\/15))\/q*q\/q**(-1\/5)*q*q\/(q\/(q\/(q\/(q\/q**1))))*q*(q**(-3)*q**(2\/7))\/(q\/q**(-2\/17)*(q*q**(-2))\/q) assuming q is positive.\nAnswer: q**(-178\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m - 1. Let l(g) = -10*g + 3. Determine 3*i(t) + l(t).\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the first derivative of -u**5\/5 + 3*u - 3. What is the derivative of h(d) wrt d?\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -18 - -23 - (-13 - (-1 + -60))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-10 - 627*f + 621*f - 7)*(-3*f**3 + 6*f**3 - 2*f**3) as p*f**2 + r + z*f**3 + v*f + c*f**4 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1655 = -28*x + 5*x - 1425 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 2*u + u. Let m = 13 + u. Solve -2*r**3 + m*r - 2*r**4 + 2*r**3 - 3*r**3 - 3*r**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 + -2 - 822\/576) + 10*18\/(-270)?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6 - -3. Let b = 10 - 9.7. Let t = b + 0.1. What is the second biggest value in k, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e, 1 v, 1 k, and 1 f when four letters picked without replacement from feekv?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/(-3) - 182\/(-42). Suppose -d*b - 49140000 = -13*n + 10*n, -4*n = -3*b - 65520000. What is n rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from eeeeeeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 + -1. Let z be w\/2*(-8)\/3. Suppose 0*n**4 - 5*n**4 + z + n**2 - 12*n**3 + 4*n + 8*n = 0. Calculate n.\nAnswer: -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2137, -1886, -1635, -1384, -1133?\nAnswer: -882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.410059 tonnes in micrograms?\nAnswer: 3410059000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 4*j = -276, j = -3*h + 3*j + 258. What is the remainder when 13 is divided by 21\/4 - (-66)\/h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -17*r**2*s*x + 48*r**2*x + 823*r**2 + 2*r*s wrt x?\nAnswer: -17*r**2*s + 48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -929958808 + 15926591155. Let g = -14996632444.99999907 + t. Let b = g - -98. Round b to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 296 is divided by 75?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -3*s - 2*s + 5*s + 3*s. Suppose -5*d + d = 8. Calculate g(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (10\/15)\/(2\/27). Suppose 0 = -4*m + 8, -74 = -2*h + 4*m - b*m. Is h a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/14956608 and -37\/7478304.\nAnswer: 14956608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.4, -1.39, 0.5, 4, 2\/7, 163.8?\nAnswer: 163.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 2*z - 45 - 16)*(-1 - 3*z - 2 + 1).\nAnswer: 6*z**2 + 169*z + 110","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a**2 - 13*a - 8. Let s be (-21)\/(-63)*1*84\/2. Let g be q(s). Suppose -2 = g*z - 20. Solve 0 = z*n - 7*n - 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = f - 106 - 2527, 2*f - 5268 = 5*u. Suppose 0 = 9*n - f - 3923. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.5  (b) -1\/4  (c) 1\/3  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1903721 is divided by 556?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -77, -51, -91, -221, -465?\nAnswer: -847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*d + 12 = -p - 49*d, -3*p + 5*d - 16 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 15962949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -3135 divided by 5\nAnswer: -627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z, 2 s, and 1 d when four letters picked without replacement from zszzzdszyzdy.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a week in minutes?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the third derivative of -37*a**7\/210 - a**6\/30 + 69*a**4\/8 - a**2 + 4*a. What is the second derivative of u(l) wrt l?\nAnswer: -444*l**2 - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 206, 316, 454, 620, 814?\nAnswer: 1036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-22 - (1 - 1)) + (45 + -92 - -51)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + 1*sqrt(363))*3 + (1*(sqrt(3) + 4) - (sqrt(33)\/(sqrt(11)*-6) - sqrt(3)))**2.\nAnswer: 433\/12 + 151*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p**3 + 93*p**2 - 12*p + 9. Let l(b) = -2*b**3 + 187*b**2 - 26*b + 19. Calculate -6*l(s) + 13*q(s).\nAnswer: -s**3 + 87*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/5  (b) 0  (c) 3\/4  (d) 23  (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((2240\/24)\/(-28))\/((-4)\/(-6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 83\/16467710 and -32\/35.\nAnswer: 16467710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r**3 - 9*r**2 - 7*r + 9. Determine v(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 115 divided by -181259\nAnswer: -115\/181259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14 + (-26 - (15 - (-10 - -4 - -22))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 1 x, and 1 m when three letters picked without replacement from llldlllmvdwdwllxwm?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 190236 is divided by 190065.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 66\/41 or 3?\nAnswer: 66\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000001423167 rounded to seven dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 11) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 57 - 33. Let g be (-1 - -2)*0*-1. Suppose -l - l + z = g. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -1231*m - 156216. Determine l(-127).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 570523 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3560, 25073, 46584, 68093, 89600, 111105?\nAnswer: 132608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -64*a**2 + 2263*a + 931. What is n(36)?\nAnswer: -545","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 119140 and 1260?\nAnswer: 1072260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 80 = 4*s. Let a be 2 - ((-2)\/s)\/(1\/(-6)). What is the third biggest value in 3\/8, -5, a, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2412691.2 hours to days.\nAnswer: 100528.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -81187*g**3*l**3 - 250*g**3*l**2 - 172*g**3*l - 2*g**3 + g**2 + 1137*g*l**4 wrt l.\nAnswer: -487122*g**3 + 27288*g*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 144.57 + -144.6. Which is the fourth smallest value?  (a) 0  (b) n  (c) -0.3  (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/12)\/(31\/992)*3.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4)\/(-46) + (-1360)\/(-230) + (-272)\/20. Which is the third smallest value?  (a) -4  (b) y  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 98*k - 914 - 670 = 197*k for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 5*w**2 + 44*w - 146. Let l(j) = 5 - 18 - 4 + j**2 + 9*j - 12. Let r(a) = -2*k(a) + 11*l(a). Let b be r(-13). Which is smaller: b or 0.04?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 6\/12*0\/2. Solve -p = s, 5*z + p = -2 + 27 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*p + 127 = -5*j + 10*p, -3*j - p = 77. Let i = -4 + 10. Calculate the lowest common multiple of ((-2)\/(-2) - j) + 2 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 241 + -3?\nAnswer: 23e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 131*f + 5. Suppose -16*z + 11*z = -10. Let w be m(z). Let x = w - 158. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r - 2*t - t - 25, 9 = 3*r - 3*t. Suppose 0 = 4*w + 20 + r. Let x = 13 + w. Solve k - 3 = 2*o - x, 0 = -4*k + 2*o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 719*m**2 - 15*m + 880. Let h(d) = -359*d**2 + 7*d - 439. Let o(p) = -13*h(p) - 6*i(p). What is the second derivative of o(z) wrt z?\nAnswer: 706","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 210 - 50. Suppose 5*l = 5 + k. Is 10 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 197499*z**2 + z + 2. Let k be s(2). What is k rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-205*s + 621 - 621)*((1 - 2 + 5)*(-4 + 5 + 1) + 4 - 5 - 2) as z*s + r and give z.\nAnswer: -1025","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**2 - 14*a + 13. Let v be h(13). Suppose 3*z + v*z - 1347 = -3*o, -4*z + 2*o = -1820. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -9 + 2 - ((76 - 147) + -57)\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (184\/(-40) - -5) + 36\/10. Calculate the highest common divisor of b and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14528309 is divided by 6177?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(1331))**2 + 0 - sqrt(1331).\nAnswer: -11*sqrt(11) + 5324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 4*v**2 - 8*v + 13. Let j(t) = -3*t**2 + 7*t - 11. Let u(x) = -5*j(x) - 4*n(x). Let h be (-12)\/2*(-3)\/9. Let l be h\/((-4)\/(-2))*-5. Calculate u(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29886217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 19129, 19212, 19295, 19378, 19461, 19544?\nAnswer: 19627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4*3\/(-150))\/((468\/135)\/13).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j - 2. Let t be z(-8). Let p = 2 + 0. Let l be (-62)\/(-22) + (-30)\/(-165). Solve -4 = -c + p*m, 3*m - t - 6 = -l*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3915193357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-28 - (-25 - (-16 + 11))) + 1 + 2 + -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -5*v + 5. Let h = 3011 + -3012. Let x(s) = 7*s - 5. Let d(r) = -4*r + 3. Let a(j) = 5*d(j) + 3*x(j). Calculate h*c(k) - 4*a(k).\nAnswer: k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2 + -28?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3.0456 - -0.0456. Sort 1, 7.7, u in descending order.\nAnswer: 7.7, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 30 and 932145.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*k + k**3 - 3*k**4 - 2*k**2 + 162 - 162 to the form n + u*k**3 + z*k + h*k**4 + y*k**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -2432785*m. Let w(g) = -g. Calculate w(h(c)).\nAnswer: 2432785*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 35, 19, 2882, 6, -1 in increasing order.\nAnswer: -1, 6, 19, 35, 2882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*v = 10*v + 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.08 + 1.08. Let w = g + -0.7. Let j = 0.5 - 0.1. What is the nearest to -1 in -2\/15, j, w?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1\/(0 - 3\/(0 - -3)). Let g = 7 + -7.06. Let p = g - 2.94. Which is the nearest to p?  (a) -0.1  (b) y  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10543 is divided by 504.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 8*z + 3. Let h(t) = t**2 - 9*t - 2. Let n(v) = 3*h(v) + 2*m(v). Find the second derivative of n(i) wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by 1682.\nAnswer: -2\/841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 - 5712630?\nAnswer: -5712634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -5716, -11318, -16934, -22564?\n\"Answer: -7*v**2 - 5581*v - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w**3 + 5*w**2 - 8*w + 3. Let z be a(-6). Calculate the greatest common divisor of z and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 132, 250, 366, 480, 592?\nAnswer: 702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 11 = -p + 34, 3*u - 141 = -5*p. Suppose 0 = 9*r - 139 - 131. What is the highest common divisor of u and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 196*26\/(-728) + -42?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand k + 2*k - 4*k + (-2 + 0 + 0)*(-9*k - 27 + 27).\nAnswer: 17*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 21373 and 15631?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -381*y - 3753 + 3753 to x*y + w and give x.\nAnswer: -381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the second derivative of -9\/2*q**2 - 5\/6*q**3 - 19\/20*q**5 + 0*q**4 + 44*q + 0. Differentiate k(y) wrt y.\nAnswer: -57*y**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - -1) + -2 + (3 - 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 + -8. Let k = 0.08425 + -1.08425. What is the nearest to 0.5 in k, 0.3, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o + 1 = -2285*m + 2288*m, 6 = -2*o + 2*m for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 483183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(143) + -1*sqrt(143))*1)\/sqrt(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z**2 + 6*z - 17. Let h(p) = 2*p**2 - 12*p + 35. Let y(o) = -3*h(o) - 7*t(o). Let b be (-156)\/(-20) + (-11)\/(-55). What is the units digit of y(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 43873625 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4.53 - 4.54. Let v = 8 - 7.9. Which is the closest to o?  (a) 0.4  (b) -0.5  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (30 - 30 + 5*p)*(-5 - 11*p + 5) - 4*p**2 + 6*p**2 - 4*p**2 + (4*p + 0*p - 2*p)*(11*p - 7*p - 49*p - 2).\nAnswer: -147*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 0 + sqrt(50))*-2.\nAnswer: -10*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 82*q**3 + 4*q**2 - 25*q + 55. What are the prime factors of x(3)?\nAnswer: 2, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 66\/(-231) + (-12144)\/(-45738)?\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*t - 58 = 314. Solve -9*m + 7*m - 3*j = -11, 4*m = -4*j + t for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1521*k**5\/2 + 1443*k**4\/2 - 77*k**3\/2 + k**2\/2.\nAnswer: k**2*(k + 1)*(39*k - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1204 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 16*y + 3. Let p(m) = 48*m + 10. What is 3*p(g) - 8*x(g)?\nAnswer: 16*g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/7)\/(54\/567)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -91*y + 103*y = 82*y + 1120 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 3 z when four letters picked without replacement from {v: 1, z: 10, o: 7}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**3 - 47*s**2 + 4*s - 180. Determine r(47).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 113 is divided by 12\/36 + 537\/9?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 2*r = -108. Let s be (-23)\/414 + (-4)\/((-11)\/((-33)\/(-54))). What is the nearest to r in s, -0.4, 2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o + 8 - 4 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -2015*g - 18. Is c(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 3, v: 3, o: 5, y: 7, p: 1}. What is prob of picking 1 o and 1 y?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2915 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -76814001 + 155231\nAnswer: -76658770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 895.8766 centimeters to nanometers.\nAnswer: 8958766000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -928, 2, -5 in increasing order.\nAnswer: -928, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fs when two letters picked without replacement from {a: 1, d: 6, q: 5, f: 2, s: 3, c: 3}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is (1 + 555\/25)*(-125)\/(-10) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 161 - 145. Let r be (-2 - (-28)\/10)*5. What is the second derivative of 8*w - 24*w + r*w - o*w**5 wrt w?\nAnswer: -320*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 19 - 18.8. Let i = 27 - 31. What is the second biggest value in u, -3, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -55\/4 and ((-187)\/(-22) - 7) + 103\/(-88).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 11  (b) -0.8  (c) -0.2  (d) 6  (e) 1\/3  (f) 0.5  (g) -0.026\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*n**3 + 16*n**3 - 3*n**3 + (-5 + 0 + 3)*(-2*n**3 - 5*n**3 - 3*n**3).\nAnswer: 30*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -59, -78, -97, -116?\n\"Answer: -19*y - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -6*w - 1. Let k(j) = -5*j + 1. Let s be k(-2). Suppose -r = -5, -5*m - r + 4 + s = 0. Suppose -o - 1 = -m. What is v(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -282280 by -457.\nAnswer: 282280\/457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -266*m + 68. Let b be q(-6). Suppose 9*n - n = b. Calculate the highest common divisor of n and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = 3*d, -2*r - 3*r = 5*d + 5. Let a be 1 - (0 + r + -2). Suppose 9 = 3*x, -k - 8 + 2 = -3*x. Solve o + k*o + 20 = a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -7*m**2 - 4*m - 3. Let u(s) = 8*s**2 + 5*s + 4. Let q(t) = -5*j(t) - 4*u(t). Let n be q(1). What is the units digit of n*3 + (1 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/61440 and 127\/144.\nAnswer: 184320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -431 + 453. Calculate the remainder when 856 is divided by c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 468967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1211010202 + -11202?\nAnswer: -1211022111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -23 + 8. Let z = 64 + w. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1376 is divided by 123?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 3, k: 1, i: 3, x: 6, v: 4, e: 2}. Give prob of picking 1 e, 1 k, and 1 x.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -2*b**3 - 5*b**2 + b + 2. Let x(o) = -45 - 51 + 144 + 6*o**2 + 2*o**3 - 50 - o. Suppose -12 = 2*j - 4*j. What is j*z(w) + 5*x(w)?\nAnswer: -2*w**3 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + 0 - 16698\/(-3366)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10777575?\nAnswer: 3, 5, 17, 79, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 62*b - 229298 - 486492. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-12)\/22)\/((-53)\/(-583))*1\/2. Sort -427, m, 2 in descending order.\nAnswer: 2, m, -427","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r = -0*r + 15, 0 = f + 2*r + 11 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -k - 3. Let l = -8 - k. Suppose -8*f - 94 = -126. Solve 0*n = l*n + f for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s**2 - 4*s**2 + 0*s**2)*(-s**2 - s**2 + s**2) + (-4 + 4 - 2*s)*(7*s**3 + 16*s**2 - 16*s**2).\nAnswer: -9*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -7670202, -7670186, -7670152, -7670094, -7670006, -7669882?\n\"Answer: d**3 + 3*d**2 - 7670206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*a**2 + 171*a**4 - 481 + 57*a**4 + 516 wrt a.\nAnswer: 5472*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1936\/(-33)*(-6)\/(-70). Let d = 3719\/315 + x. Find the common denominator of d and 47\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 427644 and 2016?\nAnswer: 3421152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3580 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.1  (b) -1\/2  (c) 0.1  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from pepcooceeoceeaeo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/5 in 6\/11, -2, 1\/4, -5\/128, 2?\nAnswer: -5\/128","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -5*(-22)\/(-165)*9*(-8)\/(-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:30 AM and 6:42 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the third derivative of -19\/60*s**6 + 0*s**3 + 0 + 1\/4*s**4 + 40*s**2 - 11\/30*s**5 + 0*s - 1\/21*s**7. Solve y(g) = 0 for g.\nAnswer: -3, -1, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 45 - 35. What is the units digit of -3 - -3*i\/(-15)*-47?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3084 - -3078. Let s be (1 - -1)*(-10)\/4. Do s and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 23 + 37 = 0. Calculate the remainder when 57 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 0*h**2 - h**2 - h**2. Let s(v) be the second derivative of -v + 0 + 0*v**2 + 1\/3*v**3. Give s(c(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 - 2aa0?\nAnswer: -2a9f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (3 + -7)\/(1\/4)*-14. Let k = c - 20. What is the remainder when k is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 928092761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(5) - 4*sqrt(45)) + sqrt(5) - sqrt(5) - sqrt(10)\/(sqrt(2)*2))**2 - (-5*(4 + sqrt(5) + -1))**2) + -4.\nAnswer: -150*sqrt(5) + 1229\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(35)\/sqrt(5) + -1)**2*-1 + 0.\nAnswer: -11 - 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 13820*p + 23. Is r(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5982611?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 5 + j - j**3 + 5*j**2 - 4*j + 0 + 2*j. Let f be b(5). Suppose 0*i + 4*i - 868 = f. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3339565 a multiple of 505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 s when two letters picked without replacement from ccuccccduwdds?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i + 2*i - g = -5, -50 = -16*i - 7*i + 4*g - 14*g for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -55\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n**2 + 41*n + 411. Let y be z(-24). Sort y, -0.4, -10\/27, -1 in descending order.\nAnswer: y, -10\/27, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the third derivative of a**6\/120 + 5*a**4\/3 - 419*a**3\/3 - 681*a**2 - a. Find the first derivative of t(s) wrt s.\nAnswer: 3*s**2 + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 287 (base 11) to base 3.\nAnswer: 110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d - 8. Let w(u) = -12*u - 88. Let s(l) = 32*t(l) - 3*w(l). Suppose -4*i - 22 = -0*z - 2*z, 30 = 4*z - i. What is the units digit of s(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3145278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -90 = -2*b - 86. Solve 0 = -3*p - b*k + 9, 0*p = 4*p + 5*k - 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -11, 4, 2792, 0.2?\nAnswer: 2792","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*b**2 - b - 12*b**4 + 10*b**4 - 2*b**2 + 3 to z + c*b**4 + g*b**2 + t*b**3 + d*b and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 284852 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:48 AM and 3:34 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 382 = -5*r, -125 = -2*r + 5*b + 14. Calculate the remainder when r is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58664779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**3 - 2*x**2 + x + 4. Suppose 9 = -2*c - 1. Let o be (6 + 4)*2\/c. What are the prime factors of z(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*a - 12*a + 2809 = 20*a + 11*a for a.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 4006405, 4006404, 4006403?\n\"Answer: -v + 4006406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 157.253 rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1663699?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the second derivative of -s**7\/105 - 4*s**6\/25 - 13*s**5\/25 + 2*s**4\/5 + 9*s**3\/5 + 70*s - 3. What is w in q(w) = 0?\nAnswer: -9, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is b in 2*b**4\/23 - 1874894*b**3\/23 + 585870001938*b**2\/23 - 61024024106861706*b\/23 - 122050391708730348\/23 = 0?\nAnswer: -2, 312483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1.5 + 1.5. Let x = -1 - j. Let v = x + 1.08. Which is the closest to -1\/2?  (a) v  (b) 3  (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38676109 a multiple of 1774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3*(26\/(-6) - -3) - -17. Let w(d) = -2*d - d + 1 + 0. Let q be w(-4). Is q > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6582 - 6578. Suppose 6\/19 + 12\/19*c**2 - 2\/19*c**x - 16\/19*c + 0*c**3 = 0. What is c?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1862082 is divided by 752?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.5 and -219216434.\nAnswer: -219216434.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:33 PM and 4:23 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.27 - 0.07. Let l = -1.3 + r. What is l rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 167568 and 23850512?\nAnswer: 71551536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -5*l - 5*x, 3*x + 6 = 2*l - 11. Let u be 10*3\/24*l. Suppose u*j - 512 = 233. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*187\/(26741\/(-2860)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-182)\/2457 + (-9128)\/(-756)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -16080 by -8.\nAnswer: 2010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 73162\/8652 + (-4)\/6. Let v = -8\/2163 + t. Find the common denominator of v and -35\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-32)\/(-48))\/(4\/(-6)) + 3 + 8. Suppose -2*m + 3 + 7 = 0. Let b = 0 + m. Solve b*q + 0*q = -x for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -2*j**2 - 6 + j**2 - 5*j + 7*j + 0. Let a(y) = -3*y**2 + 7*y - 18. Let w(h) = 6*a(h) - 17*z(h). Determine w(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 0, -4, 10, -34622 in increasing order.\nAnswer: -34622, -8, -4, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.004065 rounded to 4 dps?\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3)\/(990\/69)*-4. Let h = y + 4\/11. Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 138748.\nAnswer: 2, 34687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 9*u + 6. Let g be k(-1). Let b be (g\/(4 + -7))\/(2\/(-14)). Suppose -5*l - 27 = -2*l. Is b less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -215 (base 6) to base 14\nAnswer: -5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 3  (b) -2\/665  (c) 165\/2  (d) 0.2  (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*v - 11903 = -10915 for v.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/7, -6\/27565, -110, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 3*o - 11. Suppose 51*d = -15*d + 156 + 108. Solve -o*w - 26 = 4*z + 3*w, d*z - 2*w = -12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (12\/(-10))\/((-2)\/25*6\/4)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 512 - 17922\/35. Suppose -2*h + 5*b - 3 = 8, 0 = -2*b + 10. Let o be ((-28)\/6)\/h*12\/8. Which is smaller: o or t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 6360, 6764, 7168?\n\"Answer: 404*f + 5956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 8\/14 + 156\/(-28). Let t = b - -35. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the second derivative of s**5\/4 - 25*s**4\/3 - 13*s. Factor v(l).\nAnswer: 5*l**2*(l - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 3, j: 3, z: 2, l: 3, u: 1, m: 7}. Give prob of picking 1 u, 1 j, and 1 y.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -11\/42 and -77\/48?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -507605897, -1015211792, -1522817687, -2030423582, -2538029477, -3045635372?\nAnswer: -3553241267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20 + 12*a**3 - 36 + 16.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -17 + 28. Suppose 5 = 3*h - 4. Suppose -1 = h*p - 13. Solve g = -p*z + f, -2*z + 3*z + 5*g = 17 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ddg when three letters picked without replacement from dggccgddacdagcd?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1457573, -1457585, -1457605, -1457633?\n\"Answer: -4*u**2 - 1457569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 * 96.8.\nAnswer: -38.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 11831 + 2766. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + ((-2*sqrt(3)*-5)**2 - -4*(sqrt(3) + 0)**2) - ((sqrt(1452)*-2)**2 + sqrt(108) + -5))*1.\nAnswer: -5486 - 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -2\/429 and -7\/33?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/f**(-1))**(-48))**(-4\/3) assuming f is positive.\nAnswer: f**128","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3117*t - 6093*t + 3041*t.\nAnswer: 65*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*a - 2*a**3 + 93 + 36*a + 35*a - 73*a.\nAnswer: -2*a**3 + 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24\/(-200)*2*(-7)\/21?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 + 1. Let g be ((-1)\/(-1) - 1)\/n. Let q be (1 - 1)\/(-3 + 5). Is g less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 266 - 105. Let f be (-46)\/t - (-23)\/7. Which is the smallest value?  (a) -2\/5  (b) 0.03  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*j + 14*j - 6*j - 6*j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 74*x**2 - 3*x + 1. List the prime factors of w(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2227060238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/1 - (-7 - -8). Let n be (1\/(-2)*-2)\/1. Let z be 2\/1 + n + 1. Solve h = 3*o - z - 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10683904\/21 + 15\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 - 2 - 2)*(1 - 4 + 1) - 1 - 7 + 16 + 2 - 6 + 2)*(-h + 3*h - 3*h)*(0 - 3*h + 0).\nAnswer: 30*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0\/(-1) - 2\/(-8). Let m be (-57)\/(-76) + 0 + -1 + 0. Which is the nearest to r?  (a) m  (b) -0.2  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 31109250 and 6000.\nAnswer: 248874000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -47*d**3 + 4*d**2 - 3*d + 34. Let w(x) = -45*x**3 + 3*x**2 - 2*x + 35. Let o(s) = 3*c(s) - 4*w(s). What is the second derivative of o(z) wrt z?\nAnswer: 234*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 9 + (-18)\/(-45)*-5. Let n(o) = -5*o**2 - 2*o - 4. Let k(u) = 11*u**2 + 4*u + 8. Determine a*n(r) + 3*k(r).\nAnswer: -2*r**2 - 2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - (5\/75 - (-5)\/((-30)\/4))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a + 261*b - 263*b = -24, 4*b = -5*a - 17 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -8*n - 10. Let m(q) = q + 1. Let p(y) = a(y) + 10*m(y). What is p(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/(-12)*(-22344)\/(-931)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 117038064.\nAnswer: 2, 3, 11, 13, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 98591298 divided by 39.\nAnswer: 2527982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 464.22 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that 2*k**2\/15 + 183698*k\/15 - 1103268 = 0.\nAnswer: -91939, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-584)\/(-511))\/((-31)\/(-2170))?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.05 and 3298.5?\nAnswer: 3298.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 68, 133, 212, 311, 436, 593?\n\"Answer: d**3 + d**2 + 55*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/(x*x*x*x*x\/x**(-2)*x))\/x*x**(-2\/21))**(-2\/5)*((x*x\/(x\/((x**1*x*x*x)\/x)))\/(x**(-1\/8)*x))**(-26) assuming x is positive.\nAnswer: x**(-6553\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**3 + 124*v**2 + 841*v + 160. Give o(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -9*r + 83. Suppose 50 = 175*a - 170*a. Let x be n(a). Which is smaller: -4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -534 divided by 89\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -149.64 rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 133 and 7?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 2 = b, -4*g - 3 = 5*b. Let m(t) be the third derivative of -t**6\/60 - t**5\/30 + t**4\/24 - t**3\/3 - 2*t**2. Determine m(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = -i - 30. Let m(h) = -4 + 14*h**2 + 14*h - 10*h - 5*h**2 + 881*h**3. Let q be m(i). Round q to the nearest 10000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -772*q + 9500 = -962*q for q.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = c, -4*d + 3*d + 4*c = -25. Solve -d*x = -q + 19, -2*q = x + q - 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -75.108765 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -1416268528.8 to the nearest 1000000.\nAnswer: -1416000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -140 - -157. Solve -o = l - 21 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9984)\/384)\/((-1)\/((-1)\/2)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -5  (b) 2\/11  (c) -2\/7  (d) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0727*-0.2.\nAnswer: 0.01454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = -2*q + 2*f + 86, 5*q - 228 = -3*f. Suppose 0 = -10*r + 13*r + 5*w - 25, 4*w = -3*r + 23. Calculate the highest common factor of q and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.086*0.4\nAnswer: -0.0344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 128, 295, 576, 971?\nAnswer: 1480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -2*s - 1. Let r be p(1). Is 8 - 2*(r - -2) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*x + 5362 - 8815 = 16752. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(208) + 3) - (sqrt(208) + (1*sqrt(208) - sqrt(208)) + sqrt(208) + 0).\nAnswer: 18 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sum 551 and -5413.\nAnswer: -4862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6617.364ns to microseconds.\nAnswer: 6.617364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -812*f - 2758*f + 32838 + 106368 = 24966 for f.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 112?  (a) 2\/61  (b) -3  (c) -1\/4  (d) -55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-8)\/(-24) + 44\/3. Suppose -2*p + 17*p = f. Solve -2*y = 3*l - p + 20, -5*y - 28 = l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 127 > -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -288*y + 6. Let z be w(4). Is (z\/12)\/(5\/(-10)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) 0  (b) 9.112  (c) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0 + -1 + (-4 - 6). Let v be s\/(-3) + (-6)\/(-18). Solve 5*y - v*i - 3 = 3, -3*y = 5*i - 11 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = 3*w - 433 - 29, -224 = -2*v - 5*w. Find the third derivative of -163*o**3 - 110*o**2 + v*o**3 + 20*o**2 wrt o.\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15, -43, -117, -261, -499?\nAnswer: -855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(72) + 1 + -4 - -4*(sqrt(72) + 1))**2.\nAnswer: 60*sqrt(2) + 1801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -69\/2 and -137\/9520910?\nAnswer: 9520910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 28 and 700.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z**2 + 3*z - 2. Let l be c(2). Suppose -6*t + 12 = -l*t. Solve t*v - 2*x - 20 = -5*x, 2*v + 4*x - 24 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -2*i. Suppose 4*p = 2*k - 34, -2*p + 68 = 5*k - k. Let u = k + -15. Solve i = o + u*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 11*b + 29*b**2 - 2*b**3 - 4*b**3 + 1 + 7*b**3 - 30. Let n(v) = -3*v**3 - 117*v**2 - 42*v + 117. Let d(p) = 15*k(p) + 4*n(p). Factor d(h).\nAnswer: 3*(h - 11)*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-72)*-6)\/(9\/6)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = -c - 5*b, -3*c = -3*b. Suppose 6*d - 4*d = c. Solve d = -2*q - q - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve d + 16 = 4*v, -2*v - 33*d - 10 = -29*d for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 7, q: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0002901476 rounded to 5 dps?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 282\/(-6204)*(-242)\/(-649).\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 336086 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -501*z**3 - 505*z**3 + 1415*z**3 - 547*z**3.\nAnswer: -138*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5592*i*p + 20223*i + 2*p with respect to p.\nAnswer: 5592*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d**3 - 6802030*d**2 - 2313489434685*d - 74024696795040 = 0. What is d?\nAnswer: -680187, -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -12\/11 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -124.35, -0.03 in increasing order.\nAnswer: -124.35, -0.2, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -257*s - o - 37 = -255*s, -2*s - 5*o = 177 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1276682\/7 - 182383. Let v = -112\/3 + 37. Let o = -1 + v. What is the biggest value in h, o, -0.02?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oddzzddjdddzdzhhdd. Give prob of sequence zz.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 2  (b) -5  (c) 3  (d) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5474 and 1201543.\nAnswer: 2737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the second derivative of v**8\/2240 - v**7\/2520 + v**4\/12 - v. Let b(l) be the third derivative of c(l). Find the third derivative of b(z) wrt z.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 5  (b) 3\/115  (c) -122\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 126009*f + 42014*f + 3 + 42007*f + 42000*f.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 2, -6, 52, 18, 15, -5 in decreasing order.\nAnswer: 52, 18, 15, 2, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o**2 - 15*o + 14. Calculate t(-16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8969, -12375, -15781, -19187, -22593?\nAnswer: -25999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 10  (b) -1  (c) -2\/31  (d) -2  (e) -12  (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*a = -20*a + 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -60 - -45. What is the second smallest value in j, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 592*d + 17. Let o be h(5). Suppose 22*v - 1423 = o. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(-1 + (sqrt(162) + 1 - sqrt(162))))**2*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 27073 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2656\/(-33696)*-13 - 3\/3.\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-1\/2))**(-1\/37)\/(f**(-7)*f*f\/(f*f**4\/f*f)) assuming f is positive.\nAnswer: f**(741\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -44\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 536 + 92?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 4*i**2 - 2*i - 4. Calculate s(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16496 = -108*m + 14120 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the second derivative of -11*f**8\/56 - f**7\/7 - f**4\/6 - 15*f**3\/2 + 854*f + 2. Find the third derivative of p(b) wrt b.\nAnswer: -1320*b**3 - 360*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21119735 divided by -324919?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 686.4 - 678.4. What is the closest to -0.13 in 0, -0.4, 0.5, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -5 + 3 - 2 + n. Let o be f(4). Let g(s) = s + 3*s**2 + 2*s**3 + o*s**3 - s**3. Determine g(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rbsbubhrrurhusuuscru. What is prob of sequence cs?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 124\/2*16\/8. Suppose -7*a = -2*a - 3*p + 418, -5*a - 2*p - 438 = 0. Let h = v + a. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-13)\/26)\/(2\/(-820)).\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 64407395 rounded to the nearest 1000000?\nAnswer: 64000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -1, 5, -5 in decreasing order.\nAnswer: 5, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 15*i - 7*i - 7*i. Let t(n) = -2*n - 5. Let a be t(-5). Suppose 0*o - 7 = a*u + o, -4*u + o - 11 = 0. Calculate v(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 2, 193, 1, 4, 9.\nAnswer: -5, 1, 2, 4, 9, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2915, -2911, -2907, -2903, -2899, -2895?\nAnswer: -2891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 39510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ucucuu. Give prob of picking 2 c.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -11\/359 + 1955\/87237. Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 21 - (-3 + 0 + 3). Let w = j + -12. Is w a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -59\/30 + 13\/6. Let t = -378 + 375. Which is the closest to -2?  (a) t  (b) f  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.1014 rounded to two decimal places?\nAnswer: 14.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by -3684043?\nAnswer: 5\/3684043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 988, 1976, 2976, 3994, 5036, 6108, 7216, 8366?\nAnswer: 9564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/n**(-4\/9))\/n*n*n*n)\/n**(-6) assuming n is positive.\nAnswer: n**(85\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -169, -856, -2011, -3640, -5749?\nAnswer: -8344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -33 * 0.4\nAnswer: -13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4485684 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -31 + 7 - 27 + 14*c with respect to c.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 9, 4020.\nAnswer: -4, 9, 4020","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 4  (b) -175  (c) -0.2  (d) 0.4  (e) -6826  (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 283709789*c**2*n**2 + 40577*c*n**2 + 711*c wrt c?\nAnswer: 567419578*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = -4 + 16. Sort u, 1, -14 in ascending order.\nAnswer: -14, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide (-38490)\/(-55) - 4*(-1)\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2202837 and 3003?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5599b1 (base 12) to base 10.\nAnswer: 1364821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 20*f**5 + 1165*f**4 + 2450*f**3 - 4100*f**2 - 10120*f - 2240 = 0. What is f?\nAnswer: -56, -2, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 5) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -14*r*x**2 + 1919*r + 8*x**2 + 3860*x - 1108 with respect to x.\nAnswer: -28*r*x + 16*x + 3860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k**(-9))**(-17))**41)**(-20) assuming k is positive.\nAnswer: k**(-125460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/(-10) + 296\/40 + 517\/(-77).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 339 is divided by 110?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v**3 + v**2 - 96. Let o be a(0). Let h = -45 - o. Suppose -9*f + 170 = -4*f. What is the highest common factor of f and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the first derivative of -k**5\/20 + k**4\/8 + k**3\/3 - k**2\/4 - 3*k\/4 - 31. Factor c(p).\nAnswer: -(p - 3)*(p - 1)*(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 941 - 940.9178. What is u rounded to 3 dps?\nAnswer: 0.082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(sqrt(119) + (sqrt(119) - (sqrt(119) - sqrt(119)*2))) - sqrt(119)) + sqrt(119)*2*-4)\/(4*sqrt(112)*2).\nAnswer: 9*sqrt(17)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3575259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 3826\/(-13391) - 3\/(21\/40) - 1*68\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12189 is divided by 61.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q = -71*a + q - 432, 5*a + 32*q = 36*q - 6 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 2 + 18 = 0, 3*k - y - 34 = 0. Which is smaller: 32\/3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (42*m**3 + 18 - 18)*(-1 + 0 + 2)*(-2 - 2*m + 2).\nAnswer: -84*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 104241891.\nAnswer: 3, 13, 263, 10163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -149052 + 655*d + 149052 + (-2 + 2 - 2*d)*(0 - 1 + 0).\nAnswer: 657*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(5) - sqrt(10)\/sqrt(2)*2)**2 - (-3*sqrt(80) - 2*2*sqrt(5))**2)*6.\nAnswer: -7530","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 270*a - 104*a - 106*a - 96*a.\nAnswer: -36*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 75.00104 litres in millilitres?\nAnswer: 75001.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -98130 by 5.\nAnswer: -19626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/1620 and 62\/4725.\nAnswer: 56700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the third derivative of n**7\/840 - n**6\/180 - n**4\/24 - n**3 - 6*n**2. Let s(q) be the first derivative of p(q). What is s(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -925, -1625, -2399, -3241, -4145?\n\"Answer: q**3 - 43*q**2 - 578*q - 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (1070\/(-642))\/(1\/12)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 65573745?\nAnswer: 3, 5, 101, 43283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 29  (b) 0.4  (c) -1.3  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6\/(-15)*(-20)\/(-6)*6\/14. Sort -2\/3, 0.09, -1, -4, d in increasing order.\nAnswer: -4, -1, -2\/3, d, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 16358523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-18)\/(-16))\/(19\/152).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1046248 and 34?\nAnswer: 1046248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2116523.\nAnswer: 2116523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*c**2 - 111 - 19 - 32*c**2 + 118.\nAnswer: -47*c**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 12\/17 - 65\/68. Let p = 9.3 - 4.3. Which is the closest to y?  (a) p  (b) -3  (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 7058 = 70058. Round g to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9 - -12. Let t(p) = -6*p + 0 + 3 - 1 + 2*p**2. Let r(f) = f**2 - 3*f + 1. Let n(i) = -7*r(i) + 3*t(i). Determine n(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -a + 19. Calculate d(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -965 divided by -249\nAnswer: 965\/249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 0 = 2. Let i(p) = -p**2 + 2. Let z be i(0). Suppose 0 = z*q - 8. Solve -o*w - 11 = -r, -q*w + 5 = 25 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -21 * 3.9.\nAnswer: -81.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 (base 7) in base 8?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -11.34 + 14.6. Let t = s + -0.26. Let m be -3 + (-80)\/(-28) + 1. Which is the closest to -3?  (a) t  (b) -0.4  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -3*m**2 + 66*m + 12312. Let x be v(-54). Suppose -t + 3*t - 4 = 0. Solve x = t*o + o + 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the third derivative of -v**9\/36 - v**7\/42 + 109*v**5\/30 - 264*v**2. Find the third derivative of b(j) wrt j.\nAnswer: -1680*j**3 - 120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 54 - 58. Let f be a - (1 + 0)*-52. Let r = f - -49. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1 and (-616)\/(-385)*(-1)\/(-1)*5.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6975 by 93.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i = -466*a + 470*a - 83, 2*a + 86 = 6*i for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 69551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 5*r - 6. Suppose -2*d = -4*x - 22, d - 173 = -174. Let b(y) = -14*y + 17. Let z be -19 - ((-6)\/2 + 1). Give x*b(a) + z*k(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3921\/(-42) - -93 - 802\/28.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/21, -2, -7, 30 in ascending order.\nAnswer: -7, -2, 1\/21, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3.9 or -220685?\nAnswer: -220685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (231\/(-5))\/((-45514)\/(-97530))?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -15 + 19. Solve j + s = -0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 315872603?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (5\/(-2))\/(2\/(-4)). Suppose -3 + 0 = -j, 3*y - 4*j - 45 = 0. Solve 0 = q*z + 4*h + y + 9, -8 = 4*h for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k**3 + k**2 + 2. Determine i(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g**3 - 8*g**2 - 10*g + 9. Let k be n(-8). Let u = k - 93. Sort u, 6, 9 in increasing order.\nAnswer: u, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*y**4\/7 - 66062*y**3 - 4454221952*y**2\/7 + 17081621720*y\/7 + 2970663200\/7 = 0.\nAnswer: -19270, -1\/6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 129129 = -856*r - 2455*r for r.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -876 + 891 = 3*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 6*v = 7*v - 15, -5*a = -4*v - 40. Let d be (-37)\/148 + (-10)\/(-8). Sort a, 8, d in increasing order.\nAnswer: d, a, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**(-1\/3))**(24\/11)\/((y*y\/(y**2\/y))\/(y\/y**(-3))) assuming y is positive.\nAnswer: y**(49\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -49*n**2 + 94*n**2 + 30 + 153*n**2 to the form y*n + w*n**2 + s and give s.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b**2 + 3*b. Let z(p) = -p**3 + 2*p**2 + 8*p. What is -8*g(u) + 3*z(u)?\nAnswer: -3*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 531622 - 1063192 - 10*a**3 + 531570 + 2*a**3.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 783 and -15.6714095?\nAnswer: 798.6714095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 0.21, 0.13, -5?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16 - 16 - 2*w**2)*(5*w - 2*w - 2*w) + 0*w**3 + w**3 + w**2 - 7*w**2.\nAnswer: -w**3 - 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 22*d + 2359. Is g(-70) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -6 - (-119)\/(-17)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1 - -2. Suppose 1419 = -3*a - 3*b, 5*b = 5*a - 814 + 3179. Let n = a + 475. What is the closest to j in -1, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/5*70\/4. Let s(h) = c - 4*h**2 - 6*h**2 + h + 4*h**3 - 2 - 5*h**3. Let n be s(-10). Solve -n*w + 0 = -2*u + 4, -3*w + u - 4 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10*(-57)\/(-1330)*(-11)\/((-792)\/(-42))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-1)\/3)\/(102\/(-36) + 4). Sort -1\/6, -0.2, b, 3\/2 in decreasing order.\nAnswer: 3\/2, -1\/6, -0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2395 + 2419*a - 2395 - 1601*a + 18823*a.\nAnswer: 19641*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 3, l: 9, a: 2, v: 3}. What is prob of picking 1 a, 1 n, and 2 v?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 40.87893 millilitres to litres.\nAnswer: 0.04087893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 656, 901, 1146, 1391, 1636?\nAnswer: 1881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.052 * 5715524.\nAnswer: 297207.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 12*o - 40. Let u(g) = -13*g + 39. Let z(b) = 6*u(b) + 5*v(b). Let c be z(-20). Find the third derivative of -16*y**2 + y**5 + 394*y - c*y wrt y.\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j*j*j**(-3)\/j*j))\/j**(2\/5)*(j**(1\/9)\/j*j*j*j)\/(j*(j**(2\/9)*j)\/j)*((j**(-2)\/j)\/(j*((j*j\/(j**(-5)*j*j))\/j)\/j))**(-7\/8) assuming j is positive.\nAnswer: j**(3101\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -728788920 divided by 6073241?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 729*o + 337*o - 343*o. Let l(p) = -10*p**2. What is m(l(b))?\nAnswer: -7230*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (sqrt(171)\/(sqrt(9) - sqrt(225)) - sqrt(19)))**2 + (6*sqrt(228)\/sqrt(6))\/sqrt(2).\nAnswer: -4*sqrt(19) + 731\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3\/(-2)*2\/3. Let f be -13 + 21 + (0 - s). What is the highest common divisor of f and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 451 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4096.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = 3*d + 7, 0 = 9*d - 7*d + 4*z - 12. Let n be (-2)\/(30\/18 + d\/6). What is the nearest to n in 0.4, 2, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 3*c - 29 = -2*c, -3*c = -15. List the prime factors of ((-1)\/(-4) + 8)\/(r\/(-12)).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 2912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 51\/(-15) - ((-376)\/40 + 9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 48 - 48. What are the prime factors of a + (-4)\/(-18) + (-7332)\/(-54)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -108, -491, -1452, -3285, -6284, -10743, -16956, -25217?\nAnswer: -35820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4365 and 315.\nAnswer: 30555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 320*p + 327*p + 342*p - 986*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**3 + 7*w**2 + 4*w - 8. Let h be t(-6). Suppose s + 12 = h*s. Solve -3*v = j + s, -2*j - 2 = 3*v - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5 and 8279.\nAnswer: -41395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -36.9 - -37. Which is the smallest value?  (a) -1\/9  (b) -2\/19  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 - 6. Let g(d) = -d**3 - 5*d**2 + 7*d - 8. Let k be g(l). What are the prime factors of -3 - (k + -2 + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -25*k**4 + 96*k**2*q**3 + 10*k*q**3 + k*q**2 + 91*q wrt k.\nAnswer: -300*k**2 + 192*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*p - 8*p = 345. Let w be (6\/(-10))\/((120\/250)\/(-12)). What is the greatest common factor of p and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 8*t - 22. Let x(j) = 23*j - 64. Let a(n) = -17*v(n) + 6*x(n). Calculate a(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -3  (b) -34  (c) 4.8  (d) 1\/4  (e) 4214\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -26*a*k**3 + 52*a*k**2 + 9323*a + 86*k**4 + 3*k + 7 wrt k.\nAnswer: -156*a*k + 104*a + 1032*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -10, -20, -30?\n\"Answer: -10*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*1*sqrt(135) - ((-2*sqrt(135) + sqrt(135) - sqrt(135))*3 - sqrt(135)))\/(-3*(sqrt(72)\/sqrt(3))\/sqrt(8)) + -1.\nAnswer: -10*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**1)**(-1\/30)*(f**0)**(-34) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 minutes after 5:59 AM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-39)\/(-9) - 5)*(-108)\/(-90).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -727*g + 727*g + g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jmjj when four letters picked without replacement from {m: 12, j: 7}?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4, -1\/4, 1.526?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**(-2\/21))\/r**(14\/3) assuming r is positive.\nAnswer: r**(-79\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4.00000044 - -4. What is w rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 + -4005?\nAnswer: -4003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2953297823 to the power of 1\/3, to the nearest integer?\nAnswer: 1435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v - 94 + 113 = 4*s, 0 = -5*s - 3*v + 17 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, l: 1, d: 5, y: 5, j: 5, r: 2}. Give prob of sequence jy.\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7?  (a) -3\/4  (b) -0.3  (c) 5  (d) -2\/3  (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 27.299994496 - 27.3. What is d rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence to when two letters picked without replacement from aommatmtttmmttta?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**3 - 11*r**2 - 38*r - 19. Let z be o(-5). Suppose -22*m + 5*a = -z*m - 143, -5*m - a = -793. Is m a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 bigger than -1337\/614743?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**2 - 13*v + 30. Determine t(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f - 4*r + 9*r + 10, 18 = 2*f + 4*r. Which is the nearest to 2\/3?  (a) f  (b) 2\/3  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 78 and 5724.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1792, 3098, 4404, 5710, 7016, 8322?\nAnswer: 9628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k = -5*b - 14, 0 = b - 7*k + 5*k + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -56752, -56778, -56824, -56890, -56976?\n\"Answer: -10*y**2 + 4*y - 56746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 4b (base 15) to base 2\nAnswer: 1000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1123, -2254, -3395, -4552, -5731?\n\"Answer: -l**3 + l**2 - 1127*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/260761 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -342 + 124. Let y = 213 + r. Sort y, 3, -4\/7 in descending order.\nAnswer: 3, -4\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 104 - 25514?\nAnswer: -25410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**2 - 7*s - 8. Let c(j) = j - 1. Let k be c(1). Let x(b) = -b**3 + b**2 + b + 8. Let g be x(k). Let h be -12*-1*(-4)\/g. Give i(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 50 = -3*u, -40 + 5 = -u - 2*q. Suppose 5*a + 0*a = u. Suppose a*n - 50 = -4*o, -3*o + 19 + 7 = -2*n. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is c - -19?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Do -1 and 46\/809 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 5*g + 30 = 0, -h - 11 = -4*h + 2*g. What is the lowest common multiple of 22 and h?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 14 = -18. What is the third derivative of -207*l**r - 33*l**3 - 225*l**2 + 457*l**2 wrt l?\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 30?  (a) -1  (b) -35  (c) 0.2  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 19438581 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.3 - 0.1. Let h = -216 - -1940\/9. Let o = -0.3 - -0.8. Which is the third smallest value?  (a) o  (b) p  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -101  (b) -9\/22  (c) -0.144  (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2262574 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4, 2\/73, 2\/3, -2\/7, 32, -4\/3?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((1\/(-1))\/(-2))\/(4\/16).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 28954 to the power of 1\/2, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -328\/63, 184, 0.1, -4?\nAnswer: 184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -11a991 + -2?\nAnswer: -11a993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 41167701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 42285949 divided by 6?\nAnswer: 42285949\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 1196279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 2*j**2 + 5*j + 5. Let v(n) = n**2 + 3*n + 3. Suppose -2*l = -4*y + 46, 3*y = -y + 3*l + 49. Calculate y*v(w) - 6*q(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -46 + 61. Let n(o) be the second derivative of o**5\/20 - 7*o**4\/6 - 11*o**3\/6 + 2*o**2 - 13*o. Is 32 a factor of n(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*o**2 + 6*o**2 + 16*o**3 - 17*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1549520, 3098675, 4647830, 6196985, 7746140?\nAnswer: 9295295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 11*z**3 + 15*z - 16. Let u be (-40 + 3)*(-3 - -2). Suppose -q + u = -0*q. What is the remainder when q is divided by s(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = 3*b + 6 - 0, 2*g = -4*b - 20. Let k(d) = -11*d - 2*d + 2 - 12. Does 14 divide k(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c - 3*k = c + 1, 6 = -2*k for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 480 minutes before 1:56 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2089676.\nAnswer: 2, 293, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 - 2)*(-208506*f + 208506*f - 8592*f**3).\nAnswer: 8592*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -17, 2\/11, -0.24, 1, -20, -0.4?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-210)\/297 + (-336)\/1848\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8421028 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*o = 11*o - 1. Put 4, -20, -2, o in descending order.\nAnswer: 4, o, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x + 0*x - x**2 + 0*x - x**2 + 0*x + 2*x**2 - 2*x**2 + 3*x**2 + (-4*x + x + 5*x)*(-3*x - 2*x + 2*x))*(22*x**3 - 11*x**3 - 9*x**3).\nAnswer: -10*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 29 + (-17)\/((-187)\/(-165))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -3*u - 9. Let g(t) = 8*t + 26. Let w(y) = -4*g(y) - 11*m(y). Let p be w(7). Differentiate 2 + p*x**4 + 0 + 0*x**4 wrt x.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 66 a factor of 23637977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3865581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 3 = 5*u, 0*r = 3*r - 2*u - 8. Let h = 120 + -124. Let t = -63 + 62. Sort r, t, h in ascending order.\nAnswer: h, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.03, 11, 5, 0.1 in descending order.\nAnswer: 11, 5, 0.1, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2 - 6 - (0 + -146). Suppose 0 = 5*a + 42 - y. Suppose -8*m + 3 = 3. Solve m = -3*h - 2*h + a for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d = 4*r + r + 3, 39*r - 5835 = -5952 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1048416040.\nAnswer: 2, 5, 7, 479, 7817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 5 + (-1 - 0) + (2 - (-12 - -7))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -3\/5, -1\/2895, 5, -1229?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-20)\/(-6))\/((-2)\/15). Let a = -52 + 88. Let z = a + n. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1004 - -136722\nAnswer: 137726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 l and 1 p when four letters picked without replacement from popkpploplpllolploo.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -190, 3, -26, -5, 5 in descending order.\nAnswer: 5, 3, -2, -5, -26, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 485 minutes before 12:53 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/34*-2 + 2800\/5100.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 209*-20*11\/(-4180)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 928732 is divided by 25798.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**3 + a**2 - 19*a - 4. Let c be z(4). Let u(f) = 21*f + 5. Let t be u(c). Solve -2*b = -v - 3*v - 24, -28 = 2*v - t*b for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -2\/94486797?\nAnswer: -2\/94486797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 4112 - 4112 + f. Let l(v) = -676 + 6*v + v + 676. Calculate l(h(z)).\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -952*l + 119. Let a be w(-21). Suppose 31*m - 14*m = a. List the prime factors of m.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in three fifths of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1 + 2. Let i(n) = 3*n**3 - n. Let b be i(r). Which is bigger: 5 or b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 581014 and 67108?\nAnswer: 22078532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6.08 + -0.08. Sort 1, -4, d in decreasing order.\nAnswer: d, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 136*y + 3*y**3 - 35*y - 51*y - 50*y.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 222, 376, 530, 684?\nAnswer: 838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -445*k + 2*k**4 + 1272*k - 444*k - 1060 - 422*k wrt k.\nAnswer: 8*k**3 - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 4*z**2 - 3*z + 2. Let t be h(4). Suppose 63*v = 62*v - 4. Let d be ((-12)\/(-14))\/(-4*v\/112). Calculate the highest common factor of t and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 440 = -20*k. Find the second derivative of -36*x + k + 22 - 17*x**5 - 41 wrt x.\nAnswer: -340*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 31845 + -31854. Let y(o) be the third derivative of 0*o + o**2 + 1\/6*o**3 - 1\/24*o**4 + 0. Let a(h) = 6*h - 9. Calculate z*y(b) - a(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {a: 4, d: 14}.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 54458a (base 12) to base 7.\nAnswer: 14226445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3407*k**3 + 3397*k**3 - 159*k + 0*k**4 + 11*k**4 wrt k.\nAnswer: 132*k**2 - 60*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 189 is divided by 39?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 a when two letters picked without replacement from {s: 9, a: 10}?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in 23, 127, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve w**5\/4 + 8581*w**4\/4 + 9375755*w**3\/2 + 366849227*w**2 + 2301710750*w - 2673250000 = 0.\nAnswer: -4250, -74, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -948.6 + 948.64297. Round s to 3 decimal places.\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence illi when four letters picked without replacement from {x: 1, w: 1, l: 5, c: 4, i: 2}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*l + 3*l - 4*l + (-6*l + 4*l + 0*l)*(0 + 0 - 1) + (-4 + 7*l + 4)*(-76 + 112 + 144) to v*l + z and give v.\nAnswer: 1261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 51*c**3 + 0*c - 49*c**3 + c as t*c + j*c**2 + x*c**3 + u and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 170579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 6*r. Let f(w) be the second derivative of 52*w**4\/3 + 3*w - 382. Determine f(q(a)).\nAnswer: 7488*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3388?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47256 is divided by 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 15 + -12. Suppose u + 3 = -s + 9, -o*s + 8 = 2*u. Solve -3*q + u = -5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3759.537us in nanoseconds?\nAnswer: 3759537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**1)**(3\/11))**(-1\/20)*((c**(-1)\/c)**(-1\/4))**(-1) assuming c is positive.\nAnswer: c**(-113\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n**3 - 426503*n**2 - 4691644*n - 4265140 = 0. What is n?\nAnswer: -10, -1, 426514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/6 + 28\/(-6). Calculate the common denominator of ((r - -3)\/4)\/4 and 59\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/z**(-2\/5))**17)**(-2\/159)\/((z*z\/(z\/(((z*z\/((z\/((z**(1\/2)\/z)\/z))\/z))\/z)\/z)*z))**39*z**0\/(z\/(z**(-3\/4)*z))) assuming z is positive.\nAnswer: z**(187463\/3180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h**2 + 5*h - 21. Calculate the remainder when k(8) is divided by 23.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -25\/5658 and 22\/9775.\nAnswer: 2404650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*w + 3*g - 5, -23 = 978*w - 979*w - 5*g for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 minutes after 2:25 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j = j + 80. Calculate the least common multiple of 9\/12*(-64)\/(-12) and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (36\/(-20))\/(((-49)\/35)\/7).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = 3*y - 5*a - 67, -y - 3*a + 21 = 0. Solve -y = -4*s + 2*h, -s = -3*s - h + 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 3*c**2 + 14*c - 3. Let p(o) = o**2 + 5*o - 1. Let f(t) = t**2 - 11*t + 6. Let y be f(11). Let q = -42 - -25. Calculate q*p(z) + y*g(z).\nAnswer: z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 66\/3 + 2 + -4. Let x(d) = -d**2 - 7*d - 5. Let h be x(-5). Suppose -w = -h*l + l. What is the highest common factor of l and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1709, 1, -1\/3?\nAnswer: 1709","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 - 9 - (-19 - (4 + -2 - 6)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of (2\/4)\/((-2)\/(-8)) and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v - 6, -5*s - v - 108369 + 789311 = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 55017475938+-65.9\nAnswer: 55017475872.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 3449*f - 251769. Calculate c(73).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.142 + 0.17. Let f = 5.188 - 3.16. Let k = m - f. Sort -5, 0.4, k, -4\/5 in descending order.\nAnswer: 0.4, -4\/5, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s**4 + 0*s**4 + 0*s**4 + (-s**4 + 3*s**4 + s**4)*(-1 + 3 - 3))*(8 - 18 + 9 - 49*s).\nAnswer: 98*s**5 + 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-2))\/(351\/468)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-2446)\/(-3))\/((30\/54)\/(5275\/30)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -54 + 2. Let k = f - -111. List the prime factors of k.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gfggfg. What is prob of picking 1 f and 1 g?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ud when two letters picked without replacement from duushduxhhh?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*v - 3826 = -389*v + 3178 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -124, -251, -380, -511?\n\"Answer: -p**2 - 124*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 244.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 6490467 to the power of 1\/2, to the nearest integer?\nAnswer: 2548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, h: 1, b: 1, s: 2}. Give prob of sequence ho.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -8.62 - -34?\nAnswer: 25.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1848)\/(-99)*180\/14. Suppose 0*f + l = 4*f - p, -2*f + 106 = -4*p. What is the remainder when 126 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(6\/11))**(-38))**24 assuming y is positive.\nAnswer: y**(-5472\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 2 = 7. Suppose 0*z + 3*z = -b + 124, z = u*b + 52. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -3 + (11 - -1) - 0. Suppose -22*t = -6*t - 48. Suppose -t*a + 2*a = 3*c - 27, 5*c - 57 = -2*a. Calculate the highest common divisor of a and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 33814 and 24592?\nAnswer: 270512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 0.676032 months?\nAnswer: 0.056336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in fifty-nine quarters of a week?\nAnswer: 2478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -31903 - -31906. What is the third smallest value in o, 612.8, -0.2?\nAnswer: 612.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 7  (b) 85.1  (c) -3  (d) -2  (e) 6\/11  (f) 1\/5  (g) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**(2\/5)*f)**(8\/9)*(f*f*f**(-3\/4))\/f*f*(f\/f**(-6\/11))\/f assuming f is positive.\nAnswer: f**(2593\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let 8*m**5\/9 - 3002*m**4\/9 - 586*m**3 - 1510*m**2\/9 + 754*m\/9 = 0. Calculate m.\nAnswer: -1, 0, 1\/4, 377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 26 and 50830?\nAnswer: 50830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-5)\/p**1)\/((p**5*p*p)\/p**(1\/7)) assuming p is positive.\nAnswer: p**(-90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 >= 1330?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 2*d**2 + 33*d + 101. Let l(v) = -3*v**2 - 49*v - 151. Let s(k) = -8*h(k) - 5*l(k). List the prime factors of s(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-366)\/3)\/(138\/23))\/((24\/(-8))\/(-9)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -256134 or -256117?\nAnswer: -256117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h = 2*v + 3 + 9, v = 4*h - 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 1\/7, -5, 0, -9, 2, -464, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m**2 - 7*m - 1. Suppose -4*t + t = 18. Determine h(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(19))**2*1 + sqrt(304) + 5.\nAnswer: 4*sqrt(19) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -2*o**3 - 5*o**2 - 5*o. Let z be p(-4). Suppose 217*t = -97*t + 10779 + 9631. Let s = z - t. Solve -s = -2*f - 11 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 33.322 + -33.2. Let n = 0.0948 - m. Round n to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14818755719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r - r - 4 = 0. Let h be (-4090546)\/r - 6\/(-12). Let z = h + -102637. Round z to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3374157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/1)\/((30\/6)\/5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3, 2.1, 0, -0.1, 6, 0.099?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -509 times -1.1375\nAnswer: 578.9875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 67*g + 21 + 46. Let v = 1 + -1.4. What is the nearest to g in v, 8\/3, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6318 + 6484. Solve -2*l = -176 + z for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 5\/(1\/(-3) + (-34)\/(-12)). Suppose -2*d + 522 = 5*z, -4*d + c*z - z = -1000. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = 4*t + 2*a + 4, 0 = 4*t + a + 1. Let q(f) = 7 + 5*f + t*f - 5*f - 3*f. Let j(z) = -z + 3. Let k(v) = -14*j(v) + 6*q(v). What is k(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8?  (a) 3.9  (b) -1  (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -143\/26718 and 58\/464499?\nAnswer: 56668878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Total of -29 and -11.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*a = -9*a - a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 78156 and 703404?\nAnswer: 703404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -32737 + 38483.2. What is k rounded to the nearest one hundred?\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 9\/(-6)*(28\/(-12) + 1). Factor 64*k**3 + 96*k**y + 0*k**4 + 8*k**4 - 64 + 4*k**4.\nAnswer: 4*(k + 2)**3*(3*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the first derivative of x**4\/14 + 8*x**3\/21 - 5*x**2\/7 - 648. Factor a(d).\nAnswer: 2*d*(d - 1)*(d + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the third derivative of 317*y**9\/504 - 267*y**5\/20 + 859*y**2. What is the third derivative of n(j) wrt j?\nAnswer: 38040*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 20 = -5*d + 5, 2 = -4*d + 2*i. Solve 5*p = o - 22, o + 2 = d*p - 3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*s - 475912 = -21178. What is the ten thousands digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 17498854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 329\/(-21) - 4\/12. Let l be 2\/(-17) + 447*k\/(-680). Is 11 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 12 - 13012023?\nAnswer: -13012011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1, 170, -5, 58?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 38\/(-6) - 2\/(-6). Let u(z) = 35*z**3 - 14*z**2 + 4*z. Let i(c) = 61*c**3 - 26*c**2 + 7*c - 1. Let p(f) = 4*i(f) - 7*u(f). Give p(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3936 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -6  (b) 0  (c) -3  (d) 1  (e) -4\/1079  (f) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h + 8. Give k(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1461846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (5\/2 + -2)\/(20\/(-2120)). Let o = -46 - n. Suppose o = 8*c + 39. Let h(b) = -15*b**2 + 2*b. Let q(a) = 8*a**2 - a. Calculate c*h(m) - 7*q(m).\nAnswer: 4*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 12*(-4 - (-52)\/12). Find the common denominator of 137\/12 and k - (237\/18 + -4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1172079 is divided by 364.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 16\/7?  (a) 1\/5  (b) -1\/3  (c) 1\/3  (d) 2\/239  (e) 5  (f) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.3  (b) 3  (c) 2\/3  (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -18, -39, -94, -201, -378, -643, -1014?\nAnswer: -1509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-54)\/10 + 10\/25. Let q = 9 + d. Suppose -q*i = -7*i + 483. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -2*g**2 - 803 + 4*g**2 + 803. Let s = 12 - 9. Let d(p) = -3*p - s*p + 4*p - 4*p. Determine d(t(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 4*r + 12 + 14 = 0, r = 5. Let k = -14 + 17. Suppose 2*d = -n + d + 7, k = 5*n - y*d. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -120001*t - 6. Let j be -2*(0 + 2 - -1). Let r be b(j). Round r to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(70) + sqrt(70) + sqrt(70))*-6 + sqrt(70) + 3*sqrt(70)*-2)\/(sqrt(1440) + sqrt(1440)*-2*4).\nAnswer: 11*sqrt(7)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1162 and 59321594.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 580*i**3*s**2 + 2*i**2 - 21*i*s**2 - 15*s wrt i?\nAnswer: 3480*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*h = 7*h + 14. Suppose -h = -k + 11. Let v(y) = k + 21 + y - 41. Give v(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12 and 509682.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 4\/5  (b) 0.01  (c) -11  (d) 0.059  (e) 0  (f) 0.274\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-6)\/(-9))\/((-3)\/54). Let k = s + 6. Let z(g) = -2*g**2 + 3*g + 112. Let j be z(-7). Is j <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 47552 and -0.89887?\nAnswer: 47552.89887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3500*a - 2125*a - 1720*a - 949*a = 141046 for a.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -8*f + 40. Suppose 4*x + 3*a = -x - 63, -3*a = -5*x - 57. What are the prime factors of n(x)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 times -793001?\nAnswer: 396500.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 2880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 598 and 23582728.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 75*y**3 - 43*y**3 - 3 + 3*y**2 - 47*y**3 + 3*y. Let u(g) = 16*g**3 - 4*g**2 - 4*g + 4. Calculate -4*t(d) - 3*u(d).\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i - 8. Let g be d(-8). Let n be (2\/(-5))\/(152\/(-95)). Let q = -0.08 - 3.92. Which is the closest to g?  (a) -2\/3  (b) n  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b**2 - 7*b - 170. Determine g(-12).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 - 1)*(25*s**2 + 20*s**2 - 37*s**2)*(-s + 0*s + 3*s).\nAnswer: 16*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 15  (b) 0.15  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**2. Let f(n) = -n**3 + 2*n - 3. Let z be f(0). Let s(p) = -29*p. Let q(h) = 29*h. Let j(c) = z*q(c) - 4*s(c). Determine j(r(x)).\nAnswer: -29*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -10*b**3 + 14*b**2 + 40*b. Let q(r) = -r**3 + 2*r**2. Let f(k) = -8*q(k) + u(k). Factor f(s).\nAnswer: -2*s*(s - 4)*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide (-5320)\/(-3) + 15*(-32)\/(-720)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -306569, -306497, -306425, -306353?\nAnswer: -306281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 32297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4 and 1166.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -415471 divided by -40.\nAnswer: 415471\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a**3\/7 + 554*a**2\/7 - 540*a\/7 - 3312\/7 = 0 for a.\nAnswer: -2, 3, 276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 + 5. Let y(l) = 135*l**3 - l**2 - l + 2. Let o be y(2). Calculate the common denominator of a\/(-6) + o\/(-192) and -39\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 36, 58, 80, 102?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 282 - -4?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = l + 145, -l + 89 = 3*d - 2*l. Let h be 14\/3 + 8\/(-12). What are the prime factors of d\/h + (1 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that 27*u**4\/4 - 14595*u**3\/2 + 25641097*u**2\/12 - 266611730*u\/3 + 3003259204\/3 = 0.\nAnswer: 212\/9, 517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 2*g + 4)*((0 - 5*g + 0)*(-2*g - 3*g + 4*g) + 3*g**2 + 0*g**2 - g**2).\nAnswer: -14*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*u - 5, 0*u = 2*n - u + 3. Let o(d) = -5*d**3 - 3*d**2 - 2*d - 1. What are the prime factors of o(n)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 18\/65 and 119\/1040.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -162*a + 63*a + 268979 + 570640 = 0. Is a a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -144*z**3 - 60*z**2 + 60*z**2.\nAnswer: -144*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**3 - m**2 - 4. Let w be n(3). Solve 5*k - w = u + 6, -k = -4*u - 23 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -64 + 2220?\nAnswer: 2178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 17 = 3*k, -3*k = x - 11 - 2. Let f(j) = j + 19. Let z be f(-5). Let l be z*(k + (-33)\/7). Solve 5*m = 4*a + 4 - 2, -l*m + a - 5 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 4*d**4 - 2*d - 2. Let j(c) = -17*c**4 + 9*c + 7. Let l(f) = -2*j(f) - 9*y(f). Differentiate l(v) with respect to v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.4 or -58661?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3\/((1 + -4)\/(2 + 2)). What is the units digit of (o\/(-2))\/(9\/(-810)*-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21543 is divided by 1267?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2 + -1065?\nAnswer: -1067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hqhqhqh. What is prob of sequence hqh?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 7 + 10*i**3 - 9*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 257103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1451785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 516 + -525. Let t = 15 + -25. Which is smaller: f or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 100 - (-87 + 39 + 157)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14 - 275*u + 273*u - 5.\nAnswer: -2*u - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -73\/16, 17\/5, 0.19?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1122221 + -3?\nAnswer: -1122230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 5*w - 29 = 0, 5*k - 4*w = -3*w + 61. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -23 (base 5) to base 15\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b**2 - 959850*b + 46065601125 = 0. What is b?\nAnswer: 95985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 7, u: 1}. Give prob of sequence uk.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**16\/((u**7*u*u)\/u)*u*u\/u**(-25)*u\/(u**(1\/14)\/u) assuming u is positive.\nAnswer: u**(517\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 15*d**2 - 2910*d + 34. Give w(0).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 350 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: Is 29489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (8 - (-11 + 10) - -8) + 1\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 12622851?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -2*c + 1. Let q be m(-1). Let p be 50\/(-150) + 535\/3. Find the second derivative of -145*y - 18*y**4 + p*y - q*y**4 wrt y.\nAnswer: -252*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(1\/3))**5*s*s**(-2)*s*s**8\/s*s*s**5*s*s**(-1\/5)*((s\/(s\/(s\/s**1)))\/s)\/s**7 assuming s is positive.\nAnswer: s**(112\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 3561.694 nanometers?\nAnswer: 0.000000003561694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 4*m + 5*m + 0*m - 6*m - 4*m. Let r be 2\/3 + (-12)\/(-9). Suppose 12 = q + r*q. Let g(k) = 5*k + 3. Calculate q*o(p) + g(p).\nAnswer: p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {b: 4, r: 4, n: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nti when three letters picked without replacement from {m: 8, n: 5, t: 4, i: 1}.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19604?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 140 = 3*q. Let z be q\/4*-4 - -2. Calculate the highest common factor of 9 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 2*d**3 + 43*d**2 - 496*d + 116. Is f(29) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (60\/20)\/((30\/(-70))\/(232\/14)).\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -713\/3 - -715\/3. Let m = -62 + 44. Let t = -11 - m. Which is the smallest value?  (a) 2  (b) t  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.047892179 rounded to one dp?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide (-35)\/350 - 2094405\/(-50)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence si when two letters picked without replacement from scssbiksseeisbsiisc.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kkkkkkkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -65*b**2 - 145*b - 178 - 4*b**3 + 103 + 9*b**3.\nAnswer: 5*(b - 15)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 3*q**3 + 1 - 3)*(0*q - q - q) + (-q**2 + 0*q**2 - q**2)*(2*q**2 - 6*q**2 + 2*q**2).\nAnswer: 10*q**4 - 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (-1 - 0) - -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x + 37. Let y be l(18). Let r = y + -15. Suppose 0 = 4*q + 3*t - 4 - 2, r*q = 5*t + 22. Solve 4*k - 3*k - 3 = 2*j, -15 = q*k for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7836, 15672, 23508, 31344?\nAnswer: 39180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z - 10. Let b be w(7). Let s be b\/(-4) - 53\/(-4). Let d = s + -2. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 4 + 1)*(-3*u + u - 2*u)*(5 - 2 - 15)*(3*u - 2*u - 2*u) as l + d*u**2 + p*u and give d.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16 and (-792)\/(-27) + (0 - (-4)\/6).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 - -6. Let r = 805.2 - 805.3. Let c = -2 + -2. What is the second biggest value in r, o, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 43, -0.3 in descending order.\nAnswer: 43, 1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 < 14261.57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 12*s**4*v**2 + 17*s**4*v - s**3 + 4*s**2 + 54*v**2 wrt s.\nAnswer: 288*s*v**2 + 408*s*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15 + 4756*j**2 - 15 - 4757*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x**3 + 5*x**2 - 7*x - 6. Let z be y(-6). Suppose 8 = -z*r + 4*r. What is the units digit of 10 - (r + 0 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 11342 + -2?\nAnswer: 11340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -k**3 + 2*k**2 - 2*k**2 + (-4 + 1 + 5)*(-955*k**3 + 1282*k**3 + 1056*k**3) as q*k**2 + i*k + j + t*k**3 and give t.\nAnswer: 2765","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 27705*g*v**3 + 25*g*v + 6*v**3 + 243900*v**2 with respect to g.\nAnswer: 27705*v**3 + 25*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -360 = 5*d + 7*d. Let p = -21 - d. Solve -h = -f + 3*f + p, 5*h = 5*f + 15 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((g**(2\/7)\/g)\/g)\/g)\/g)\/g)\/(g\/(g**(3\/2)\/g))*g\/g**(1\/4)*(g**4\/g)\/g assuming g is positive.\nAnswer: g**(-69\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2500\/(-20) - (-59 - -19)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kviikiiiyr. Give prob of sequence iyvi.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = 9 - 3. Solve -8 = p*b, 3*f + 5*b = -2*f - 20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 43 - 128\/3. Let c = 0 - -0.05. Let r = c + 2.95. What is the closest to m in 0, 3\/8, r?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -11*p**3 + 4*p**2 + 2. Let k(w) = w**2 + 1. Give -j(s) + 2*k(s).\nAnswer: 11*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-161)\/(-105) + 1\/(-5). What is the closest to -0.1 in 3, 0.1, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 4*w = 9, 3*f + 28 - 69 = -5*w. Suppose -2*o - 7 = -k - f, -5*o + 25 = 5*k. Solve -x + 21 = 5*m, o*m - 10 = -4*x - 1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 29717 divided by 6\nAnswer: 29717\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16\/(8\/2)*(-3)\/3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 42 + 44 - 1235*u + 48 - 134 as x*u + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 639*h**3 - 1326*h**2 + 96*h.\nAnswer: 3*h*(h - 2)*(213*h - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5400 - -7880. What is o rounded to the nearest one hundred?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u = 25*f + 510, -u + 26 + 0 = -2*f - 21 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/5 - (2810\/200 - 14)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 560274 divided by 6?\nAnswer: 93379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0  (b) 31  (c) 2\/11  (d) 0.1  (e) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the third derivative of v**6\/120 + v**5\/12 + 5*v**4\/24 - v**3\/3 + 10*v**2. Let d be 6\/(-24) - (5 - (-15)\/(-12)). What is j(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -1. Let t(v) = 11. Let x(b) = h(b) - t(b). Let w(o) = 5. Let m(k) = 5*w(k) + 2*x(k). Let j(d) = -d - 6. Give j(c) + 4*m(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -604 divided by 151.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 204 is divided by 64.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/6?  (a) -0.4  (b) 2\/3  (c) 2\/5  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 14*c - 4*c + 10*c - 19*c + 12*c. Let z(m) be the second derivative of 7*m**4\/12 + m. What is j(z(u))?\nAnswer: 91*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n**3 - 23*n**2 - 18*n - 2. Let s be i(-22). Let a be (-21)\/(-6)*s\/15. Which is greater: a or -41\/2?\nAnswer: -41\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 898106?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l + 1. Let w(o) be the third derivative of o**3\/6 - 4*o**2. Suppose -8 = 6*n - 2. Give n*a(j) - w(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 2*q - 3. Suppose 4*k - 5*w - 105 = 0, -q*w + 15 + 83 = 4*k. 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 a(z) = z**3 + 3*z**2 - 2*z + 1. Let l be a(-4). Let y(s) = -4*s + 10 + 4*s + s. Let d be y(l). Sort d, -4, 2 in decreasing order.\nAnswer: d, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2471*x**3 + 1240*x**3 + 1287*x**3.\nAnswer: 56*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.06995874 rounded to 3 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.13 - 0.03. What is the closest to m in -1\/3, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 108*p**2 + 183*p - 169. What is l(3)?\nAnswer: 1352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 25617900 divided by 2134825?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -1, -0.4, -57, 0.5, 15\/7, 0.3?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-425)\/(-78) - 64*(-1100)\/(-12800)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 112899?\nAnswer: 3, 37633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 3, t: 4, v: 1}. Give prob of picking 3 t and 1 f.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2163 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1045053 - 11.7?\nAnswer: 1045041.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 201 + -66. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23443 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**0)**46\/(n**(-5)*n*n\/(n*n**6)))**44 assuming n is positive.\nAnswer: n**440","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2 - -5)*(1540\/(-15))\/4. Let w = -42 - a. List the prime factors of w.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in d - 3*d - 131*d**2 + d + 3*d.\nAnswer: -131*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 378 and 42.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the second derivative of 3*q**5\/20 + q**4\/6 - 2*q**3\/3 - 3*q**2\/2 - 119*q. Calculate j(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = -2*c, -30*c + 29*c + 19 = 4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) 0.5  (b) 0.1  (c) 0.06  (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 64 + (-6)\/(396\/6402)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(17) + (2 + sqrt(17) + 5 - sqrt(17)) - (-2 + -2*sqrt(17) - sqrt(17)).\nAnswer: 9 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -4*n + 3. Let o(y) = -y**3 + 3*y**2 + 341*y + 22. Let g be o(-17). Solve 4*l - 3 = g*j, 16 - n = -j - 4*l for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 10*n**6 - 1642*n**5 - 2*n**2 - 3*n + 6237 wrt n?\nAnswer: 1200*n**3 - 98520*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 13617610 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the first derivative of 15*y**4\/4 + 4*y**3 + 6*y**2\/5 - 6. Factor w(a).\nAnswer: 3*a*(5*a + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, m: 1, p: 1, q: 2, t: 2}. What is prob of sequence ts?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6 + 2. Let f = -0.05 + 8.05. Let i = -13 + f. Sort q, 0.3, i.\nAnswer: i, q, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 31, 65.\nAnswer: 4, 31, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 2*h**2 + 2*h - 6. Let i be l(-3). Let t = i - -1. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -284*f + 297. Let h be y(1). Solve -n + 2 - 1 = -z, 0 = -4*n + z + h for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 34?  (a) 3  (b) 11\/2  (c) -2  (d) 1\/55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6 + -2 - -9)*3*(-1)\/(-6). Factor 5\/2*o**3 + l*o**4 - 9\/2*o + 3\/2*o**2 + 0.\nAnswer: o*(o - 1)*(o + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1175, 1098, 941, 680, 291, -250, -967, -1884?\nAnswer: -3025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by 244592\nAnswer: -5\/244592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 125550 (base 6) in base 15?\nAnswer: 36c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -12 * -29387152\nAnswer: 352645824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 54, -1\/318, 0, -1\/5, 2\/15, 0.3, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 18362572?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 + 11?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 1294*m - 14. Calculate j(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 37407 divided by -1\nAnswer: -37407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000072231 rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes after 4:25 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 9*s + 1. Let y be q(-1). Is y smaller than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*r**3 - 70*r**3 - 181*r**3.\nAnswer: -233*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2*(1 + (2 - 2)). Let t(z) = -5*z**2 + 3*z - 3. Let j(s) = -14*s**2 + 8*s - 8. Let b(a) = -3*j(a) + 8*t(a). Let v be b(-1). Solve -i + v = -l*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -203632 + -117?\nAnswer: -203750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - 6)*4*6\/(-72)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -u + 138216*u**2 + 2*u + u - 544064*u**2.\nAnswer: -405848*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the third derivative of 68*w**2 + 0 + 0*w**5 + 0*w**6 + 29\/12*w**4 - 1\/56*w**8 + 0*w**7 - w + 0*w**3. Find the second derivative of z(n) wrt n.\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16777410?\nAnswer: 2, 3, 5, 13, 43019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*f + 28*f**2 + 114*f**4 + f - 26*f**2 - 5*f - 26*f**4 to the form h*f + i + u*f**4 + d*f**2 + g*f**3 and give u.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12024744, 12024781, 12024818, 12024855?\nAnswer: 12024892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence knk when three letters picked without replacement from nxkskpsppkk.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2402434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**3 + 6*b**2 - 7*b + 7. Let l be a(-7). Let v be l*(175\/(-49) + 4). Solve 2*n - v*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 40150, 80303, 120456, 160609?\n\"Answer: 40153*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2078 and 10890798?\nAnswer: 2078","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = -q - 5 + 2, -5*u + 10 = 4*q. Solve -q*m + 21 = -4 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*z - 6242 = 1048. Calculate the greatest common divisor of 300 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1002318678 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 18520700 rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1247 and 182853845.\nAnswer: 1247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2.2 - 35.2. Let i = -2.865698 + 35.866278. Let p = i + l. Round p to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 614\/6 - (-85)\/51. Suppose 91*l + 26 = d*l. Solve 4*v + 3*i = -4, 20 = -4*v + l*i - i for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -888803.4 rounded to the nearest 1000?\nAnswer: -889000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (9\/(-12)*1*4)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 9 + 11 - 5 + 17*t. Let i(d) = 1. Let l(k) = 8*k + 12. Let n be 2\/(6\/9) - -2. Let h(p) = n*i(p) - l(p). Calculate 13*h(m) + 6*z(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.083514259 rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 35 and 13559?\nAnswer: 67795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 100 (base 6) in base 10?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/(-102)*(-18)\/(-12)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 v when two letters picked without replacement from {m: 2, x: 3, o: 1, v: 1, b: 5, e: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 75*h**2 - 12*h**2 + 104*h**2 + 7.\nAnswer: 167*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-66)\/(-70) - 304\/(-5320)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2 - 6 - 99*16\/72. What is the biggest value in r, 5\/3, -2\/21?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:46 AM and 9:52 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = -7*b + 86 + 227, 0 = 5*b - 4*v - 224. What is the greatest common factor of b and 5478?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b + 3*b + 4*x = -2, -5*b - 33 = -4*x for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that 5*f**3 - 7251155*f**2 - 29004700*f = 0.\nAnswer: -4, 0, 1450235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 34198.441*-3\nAnswer: -102595.323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -2*b**3 + 191*b**2 + 5586*b + 1074. What is n(119)?\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: ((-20)\/360)\/((-6)\/(-24))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.375 and 1137324.\nAnswer: 1137324.375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(70)\/(sqrt(120)\/(sqrt(48)\/sqrt(4))))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -0.02  (b) 1\/3  (c) 2\/11  (d) -1\/7  (e) 1.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = -5*v + 5*r, -2*v - 7 - 1 = 2*r for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 66 = 2*a, 4*a + 23 + 27 = 3*k. Suppose -513 = -27*i + 8*i. Calculate the common denominator of -25\/21 and 385\/k*(-2)\/i.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 4*o = -15, 0*o + 5*o - 22 = -2*k. Let j be (-23 + 13)\/((-5)\/2). Suppose j = -19*g + 23*g. What is the remainder when g is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -27 - -8 - (-2 + -1 + -5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 138 - -0.15\nAnswer: 138.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 9, 23, -35, -201, -511, -1001, -1707?\n\"Answer: -6*y**3 + 56*y - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 85411*b**2 - 28464*b**2 + 2*b**3 - 28479*b**2 - 28468*b**2.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*y + 4*k + 24, 21*y - 22*y = -5*k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**2 - 384*s + 4023. Let z be m(10). Calculate the greatest common divisor of 41417 and z.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*r + 600 = 15*r. Let z = 143 - r. Suppose 0 = 4*t + 20, -3*u + 3*t + z = -742. List the prime factors of u.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18218200 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 1, z: 1, l: 2, o: 5, k: 7}. What is prob of picking 1 o, 2 k, and 1 f?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.43 times -65801?\nAnswer: -159896.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7323, -57201, -192207, -454905, -887859?\nAnswer: -1533633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -1503 + -1.2732\nAnswer: -1504.2732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*f - 1 + 1 + 0*f + f + f + 4*f + f - 3*f - 2*f - 2*f + 2*f + (3*f + 0*f - 5*f)*(-2 - 1 + 1) - 2*f - 2*f + 5*f - f - 2*f + 2*f as b*f + r and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 5525877 to the power of 1\/2, to the nearest integer?\nAnswer: 2351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 280412657.\nAnswer: 7, 40058951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 6911 + 5709 = 0. Let g = h + 6102. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes after 11:45 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -681 + 484?\nAnswer: -1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 30 = -3*c, 0*c + 12 = -2*t - 2*c. Let u = -1 - t. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*n - 3*n = 0. Suppose -4*a + 1241 - 493 = n. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d - 5. Suppose -21*j = j - 286. Determine i(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -2*f**2 - 7*f + 507. Let x(a) = a**2 + 4*a - 254. Calculate 7*x(o) + 4*y(o).\nAnswer: -o**2 + 250","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 2*l + 2. Let o(q) = 2. Let t(c) = -5. Let d(y) = 8*o(y) + 3*t(y). Determine 2*d(j) - u(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 243689\/16 - 15225. Let u = -69515\/18 + 3863. Calculate the common denominator of a and u.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u - 3*o = -3, 3*u - 4*o - 1 = 30 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes before 12:09 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6691*c - 142106 = 8424*c for c.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -633 - 249 + 2*r - 228 + 34 - 221.\nAnswer: 2*r - 1297","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -81577601 divided by 2.\nAnswer: -81577601\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*(t*t\/(t*t**5)*t*t)\/t)\/(t\/t**(-6\/7)))**(-2\/73)\/((t**(-4\/9)*t*t**0)\/(t**(-2\/13)*t**6)) assuming t is positive.\nAnswer: t**(322627\/59787)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1500208290 to the nearest integer?\nAnswer: 38733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 13639704073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(7) - sqrt(49)\/sqrt(112))*1.\nAnswer: 1 + 3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7791*j - 109672 - 248714 for j.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -12 + 19. Let l be (1 + 0\/(-2))*d. Let f(b) = 7*b - 24. Let h be f(l). Solve 4*g + h = 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qfofofffff. Give prob of picking 1 q and 1 o.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 17 = 5*c, -2*c + 5*g - 11 = -c. Suppose -18*q = -17 - 37. Suppose -5*y + q = -c*y. Solve 0 = 4*r - j, 2*j = r + y*j - 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 2*y**3 - 2*y**2 - 8*y - 10. Let l be r(-5). Let b = l + 517\/2. What is the common denominator of 6\/12*118\/10 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/((z**(-1)\/z)\/z*z))\/z*z\/(z\/z**(2\/11)))\/((z\/(z\/z**(-6\/7)))\/z*z\/(z\/(z**(1\/2)*z))) assuming z is positive.\nAnswer: z**(391\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -59 times -1115\nAnswer: 65785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -218*r + 6255. Let b be i(29). Which is greater: -722\/11 or b?\nAnswer: -722\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 553 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v, 1 p, and 1 r when three letters picked without replacement from sqrpspsqpssgqqqppgsv.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j**3 - j**2 - 3*j - 6. Suppose -2*v - 5*c + 19 = 0, -2 = -2*v - c - 3. Does 3 divide a(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mxm. What is prob of sequence mm?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 776 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence twy when three letters picked without replacement from vvyggyyvvgtttwtyggt.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**3 - 12*y**2 + 11*y + 4. Let w(i) = 8*i + 142. Let m be w(-29). Let x = 101 + m. Calculate j(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 59 divide 126550929?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 31*o - 27. Let j(x) = -13*x + 12. Let i(f) = 3*d(f) + 7*j(f). Let y(p) be the second derivative of -p**4\/6 - p. What is i(y(t))?\nAnswer: -4*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -3 + (-5 + 6)*8. Solve 10 = -5*v - g for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the second derivative of l**3\/6 + l**2\/2 + 2*l. Let x be (-2)\/(-2)*0\/6. Let d be f(x). Sort 4, -2, d.\nAnswer: -2, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/60*-3*(-7)\/(42\/45)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -12.597 + 12.612. Sort 0.3, -0.3, p, 1\/5 in descending order.\nAnswer: 0.3, 1\/5, p, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 302 + -310. What is the second smallest value in -3, -0.4, 1\/6, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.37236 rounded to 2 dps?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -724*w + 25341. Let o be s(35). Suppose 556 = -2*l - 3*c, -4*c + 362 + 710 = -4*l. Let p = -809\/3 - l. Sort o, -1, p in ascending order.\nAnswer: -1, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 10010 (base 2) to base 15\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000416 to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 2*l - 15. Let x = 61 + -43. Suppose 0 = -k + 3*b - b + x, -5*k = 3*b - 38. Determine c(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4302421 (base 7) to base 2\nAnswer: -1111111011010111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -45, 2, -4\/5, 1.04 in increasing order.\nAnswer: -45, -4\/5, 1.04, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1087*i + 22519 - 21124 - 16613 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 127 or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 515 times 25.79?\nAnswer: 13281.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-124)\/217*(-97)\/8 + (-69)\/161\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3953636*x**3 + 1367592*x**2?\nAnswer: 23721816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -26 + 31. Suppose b = o - 4*f, 8*f = 4*o + 3*f - 20. Let a(v) = -v**3 + 4*v**2 + 7*v - 5. Calculate a(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 - -6. Let j = 1 - -14. Let q = -19 + j. Put s, -2, q in descending order.\nAnswer: s, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 15*n**3 - 7*n**2 - 9*n - 9. Let b(a) = 7*a**3 - 3*a**2 - 4*a - 4. Calculate 9*b(z) - 4*p(z).\nAnswer: 3*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 216*w + 8. Let f(m) = -10*m - 1. Give c(b) + 20*f(b).\nAnswer: 16*b - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 6142547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 2*p**2 - 31*p + 137. Let s be y(9). Suppose -s*k = 17*k. Solve k = -4*i + 16 - 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 979.\nAnswer: 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 2*b**2 + 3*b - 9. Let n be h(4). Let u be 1\/2*(n - 29). Solve u*z + 2*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d - 6*x - 6 = 0, 0 = -433*x + 434*x - 1 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 107, 5, 0, -5, -4 in descending order.\nAnswer: 107, 5, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1401857 days in seconds?\nAnswer: 12112.04448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-81 - -4 - (-6 - (-14 + 0) - -6)) + -4?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3258 by -3.\nAnswer: 1086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 593836 or -0.082?\nAnswer: -0.082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*o = 6*o + 5. Let n(s) = 100*s**2 - 3*s + 2. Let b be n(o). What is the first derivative of -9*q - b - 6*q + 113 wrt q?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 885272.1 and 0.07.\nAnswer: 61969.047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -185*y**3 - 32*y**3 + 17*y**3.\nAnswer: -200*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(1\/14)*w*w)\/(w**26\/w)*w\/(w*w*w**(2\/41)\/w)*w**(-32) assuming w is positive.\nAnswer: w**(-31557\/574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1186 + 794941*w - w**3 - 794941*w + 607 - 833.\nAnswer: -w**3 - 1412","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - -7) + -3 - 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 115848, 231725, 347602, 463479?\nAnswer: 579356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((d*(d\/d**9)\/d)\/d)\/d*d*d)\/(d**(2\/13)*d))**(4\/7))**(-32) assuming d is positive.\nAnswer: d**(2176\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that p**3\/5 - 2562*p**2\/5 + 294989*p\/5 + 908052\/5 = 0.\nAnswer: -3, 124, 2441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 16.144 times -24\nAnswer: -387.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 128 - 128.00098. What is b rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 minutes before 4:45 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 9*s**2 - 150*s + 743. Calculate the remainder when r(5) is divided by 45.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d, 1 b, and 1 o when three letters picked without replacement from {r: 1, o: 5, b: 4, d: 3}?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x + 6. Let u(q) = -7*q + 5*q + 4*q + 12. Let m be 3\/(-3) + 24\/(-2). Let d(o) = m*f(o) + 6*u(o). Let s(v) = 2*v + 11. What is -11*d(g) - 6*s(g)?\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 321002879 and 12565949.\nAnswer: 3531031669","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 216 and 96.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*c - 2*d = 538 + 1, -2*d + 308 = 648*c - 644*c for c.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 60*x = -4*m + 67*x + 19, 4*x + 2 = 7*m - 23 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*r + 2*r**3 + 0*r)*(1 - 1 - 3*r**2) + r**5 - 2*r**5 - 7*r**5 + r**5 - r**5 - 3*r**5 + (5*r - 3*r - 3*r)*(-r**4 + 3*r**4 - r**4) + 2*r**5 + 4 - 4.\nAnswer: -16*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 127*p**2 - 614*p + 90. What is f(5)?\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (56\/(-7))\/(((-168)\/(-98))\/6).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 29*k**3 - 2*k**2 + 1. Suppose 0 = 11*g - 180 + 191. Give l(g).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -9, -186, 5, -23\/3, 0.1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 8 = -x + 5*a, -5*a + 17 = -2*x. Let l be (-1 + x + -1)\/(-2). Find the first derivative of 12*g + 1 - 12*g - 3*g**l wrt g.\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3419 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -105605*g**2 + 211227*g**2 - 105606*g**2.\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -2*c**2 - 6*c - 18. Let o(w) = 2*w**2 + 7*w + 19. Let p(u) = -3*l(u) - 2*o(u). Is p(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.15968951 to 3 dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 18 - -51. Calculate the remainder when w is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 140 and 84?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -6\/11, 601.1, -2\/3, -0.3 in ascending order.\nAnswer: -2\/3, -6\/11, -0.3, 601.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -261*s + 278*s + 85 = 0. Which is the fifth smallest value?  (a) 15  (b) 0.4  (c) -4  (d) 2  (e) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -67*x + 10407 - 11010 = 0 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3\/8  (b) 0.1  (c) -9\/31  (d) 5  (e) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*y - 5*l + 105, -72*y = -73*y + 3*l + 5. Suppose -2*j = -5*s + s - 22, j - s = 7. Solve j*c = -c - y for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 42368805?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 + (5 - (14 + -9)) - (-3 + 7).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1*sqrt(224))\/sqrt(4) + (sqrt(56) - sqrt(672)\/(sqrt(12) + sqrt(60)\/sqrt(5))))\/((sqrt(72) + sqrt(72)*1 + sqrt(72) - sqrt(8))*-6*-3))**2.\nAnswer: 7\/82944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 94632336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 - (24 - 44) - ((0 - -1) + 100)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 - -1. Suppose -5*u - 709 = -c*o + 127, 840 = -5*u + 5*o. Let l be (1 - u)*(-44)\/(-6). What is l rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**3 - 218*h**2 + 331*h - 23989. Calculate v(-220).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2919009131 to the nearest integer?\nAnswer: 54028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-45)\/(-9))\/((-1)\/(-2)). Let g(a) = 7*a**3 - 5*a**2 + 5. Let x(b) = 5*b**3 + 3*b**2 - 3 - 7*b**3 - 2*b**3. Give p*x(i) + 6*g(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -l**4 + 134*l**3 - 2*l + 337 wrt l.\nAnswer: -12*l**2 + 804*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-576)\/480 - 58\/10 - -30. Let b(x) = 3*x**2 - 9*x + 9. Let g be b(8). Let h(r) = -129*r - q*r**2 + g*r. Give h(1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -674*z**2 - 45*z - 45. What is p(-1)?\nAnswer: -674","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 13, 3, -1\/2, 129, -9\/8?\nAnswer: 129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 3 m when four letters picked without replacement from {m: 17, d: 2}?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 24 = -y - 2*m, -4*m + 16 = 0. Suppose -5*x - 3*v - 42 = 0, 24 = -2*x - 0*x - 3*v. Let j = x - -9. Solve -t - 4 + 1 = d, -4*d + j*t + y = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (53\/(5830\/88))\/((2\/(-45))\/1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mii when three letters picked without replacement from {m: 5, i: 13, z: 1, d: 1}.\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1918, -1917, -1916, -1915?\n\"Answer: v - 1919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 21444 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.04, -5, 0.384.\nAnswer: -5, -0.04, 0.384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 69\/20007104 and -89\/416?\nAnswer: 20007104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3e (base 16) to base 4.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2a86 (base 11) to base 7\nAnswer: 14364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u**2. Let k(r) = -r**2 - 7*r**2 + 12*r**2. Determine f(k(g)).\nAnswer: 16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 27328211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*f - 3*f + 220. Suppose 0 = -2*d - 4*q - 20, 2*d = 3*q + q + f. Which is bigger: -7\/18 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 146\/4350801?\nAnswer: 146\/4350801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*o - 4 = 20*o. Which is the nearest to o?  (a) 0.5  (b) 2\/13  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i**2 + i**2 - i**2)*(9*i**3 - 17*i**3 + 25*i**3).\nAnswer: -17*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -594*x**3 + 5*x + 584*x**3 - 5*x.\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -4*q + 2. Suppose 0*p + q*p = 5*s - 88, 0 = 5*p + 20. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2349580723.\nAnswer: 7, 67, 715681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 1, -3179, 94 in ascending order.\nAnswer: -3179, 1, 4, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 1, r: 2, c: 2, f: 4, z: 4, t: 1}. Give prob of sequence rzrt.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4)\/(-10) + (-38)\/15. Let a be (0 + 4)*14\/(-20). Let o = u - a. Is 0 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(250)\/(sqrt(110)\/(sqrt(33)\/sqrt(3))))\/(sqrt(80) + ((sqrt(80)*-2 + sqrt(80))*4 - sqrt(80)) + sqrt(80)).\nAnswer: -sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20960 = -9*n - 7*n. Let z(b) = -b**3 - 8*b**2 - 2*b - 8. Let y be z(7). Let v = y + n. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22500 + 14420 = -505*s for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:12 PM and 2:53 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 1, g: 4, n: 11, f: 1}. Give prob of picking 1 v, 1 f, and 2 n.\nAnswer: 11\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 2*t = 2, 0 = 3*a + 2*t - 3 + 1. Let y(h) = h**3 - 10. Give y(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 9979582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the third derivative of j**6\/120 + j**5\/60 + j**4\/6 + j**3\/6 - j**2 - 10*j. What is the second derivative of s(n) wrt n?\nAnswer: 6*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h + 361 = 373 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 25.32 - 25.38. Sort -10, 1, z, -5 in descending order.\nAnswer: 1, z, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -18.57 + -0.43. Sort b, 3, 0 in ascending order.\nAnswer: b, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*i*n**4 + i*n**2 - 3552*i - 31*n**2 wrt n.\nAnswer: 8*i*n**3 + 2*i*n - 62*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gpp when three letters picked without replacement from {a: 4, q: 1, h: 4, p: 3, t: 2, g: 3}.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f - 3*w - 3 = -17, -2*f - 4*w = -18 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4\/57 + 365\/57. Calculate the common denominator of 19\/111 and t.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*b - 37 + 113 = 0. Solve -10 = -4*f - b*l, -25 + 9 = -f - 5*l for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3360)\/90 - -36)*((1 - 0) + -22).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38000 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 19.81 - -40.29. What is w rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -1991*r**3 + 306*r**2 - 2*r - 20. Let l(j) = 5972*j**3 - 917*j**2 + 6*j + 55. Let n(h) = -4*l(h) - 11*o(h). Find the third derivative of n(w) wrt w.\nAnswer: -11922","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the first derivative of 4*i**5\/5 + 5*i**4 + 12*i**3 + 14*i**2 + 8*i + 17. Solve x(a) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -25 divided by -65802\nAnswer: 25\/65802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.077509 weeks in hours?\nAnswer: 685.021512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8832 and 11328?\nAnswer: 521088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 272*h + 274*h - 14 = 0, -2*c + 3*h = 11. Put 1176, c, -2\/11 in decreasing order.\nAnswer: 1176, c, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -40514 (base 8) in base 5?\nAnswer: -1013331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 less than -29300331539976?\nAnswer: -29300331539975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**26*z)\/(z\/(z\/(z\/(z\/z**(14\/3))))) assuming z is positive.\nAnswer: z**(67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00979633 rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w\/(((w*w**(2\/5))\/w)\/w))\/w)**(5\/8) assuming w is positive.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z\/z**(-4))**19 assuming z is positive.\nAnswer: z**114","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that 5*s**4 - 185*s**3 - 590*s**2 - 400*s = 0.\nAnswer: -2, -1, 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-1))**(1\/57)*((a**(-3)\/a)\/a)\/a**(-3) assuming a is positive.\nAnswer: a**(-115\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -53e3fe - 2?\nAnswer: -53e400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53 + 350 - 3*v + v - 148*v**2 - 403.\nAnswer: -148*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the first derivative of l**3\/3 - l**2 - 3*l - 22. Suppose w(r) = 0. What is r?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.07  (b) 0.4  (c) 0.3  (d) -1\/22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -378*(-19 - (19 - (-10051)\/(-266)))\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 185\/65 + (-6)\/(-39). Suppose 8*z - f*z = 200. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 38*k + 7. Let s(a) = 19*a + 4. Determine -6*j(u) + 11*s(u).\nAnswer: -19*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 707032 take away -0.4?\nAnswer: 707032.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -34015 - -110335?\nAnswer: 32320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 109*o**2 + 8*o - 8. Let k(d) = 73*d**2 + 5*d - 5. Let y be (3 + (-18)\/(-24)*-6)*150\/45. Determine y*x(u) + 8*k(u).\nAnswer: 39*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 19613, 78503, 176635, 314003, 490601, 706423, 961463, 1255715?\nAnswer: 1589173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -17709 greater than or equal to -15370?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 1 - 5 = 0. Sort 0, s, -3.\nAnswer: -3, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -38 - -53. Suppose 0 = 3*n + j, -2*n + 6*n = u - 21. Let m = u + 1. Calculate the least common multiple of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d + 8. Let m(q) = 2*q - 16. Suppose 0 = -4*y - 4, -o + 3*y - 8 = -2. Calculate o*x(h) - 4*m(h).\nAnswer: h - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n = -3*u + 57, -444483*u + 147 = -444488*u + 4*n for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -367*w - 624 - 3765 = 260*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -9*h + 3. Let l(i) = -28*i + 10. Let f(w) = 2*l(w) - 7*s(w). Let v(y) = -32*y + 15*y + 7*y + 13*y. Give 2*f(m) - 5*v(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = 2*l - 120. Let y = 70 + l. Suppose 0 = -p + 3*p - y. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13892732831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - 3*x = -2*o + 60, -120 = -4*o - 2*x. Let w = 24 + -17. Suppose 11*m - 8 = w*m. Solve 2*b = 4*u - b - 35, m*b = 4*u - o for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 221 and 33371.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*s**3\/7 + 204*s**2\/7 + 3104*s\/7 + 13824\/7.\nAnswer: 4*(s + 8)*(s + 16)*(s + 27)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 133762234 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = f. Let q(g) = g**3 - 4*g**2 - 3*g + 2. Let r be q(4). Let v be r\/(40\/12)*(-5)\/3. Let m(d) = 3*d + 1. What is v*a(n) - 2*m(n)?\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 3 i when four letters picked without replacement from {i: 5, r: 1, u: 3}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o**3 - 6*o**2 - 9*o - 53. Let y be m(-6). Is y equal to 4\/125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.7 - -21.7. Let k = 9 - u. Let w = k - -13. What is the nearest to w in 0, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3*x**4 + 139*x**2 + 205*x - 8991397?\nAnswer: -12*x**3 + 278*x + 205","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 222200202021 + -200?\nAnswer: 222200201121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1179471 is divided by 11676.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 761652 = -0*f + 3*f, -4*f + w = -1015553. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 145035550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 14139471*i**2 - i + 1. Let h(p) = 2*p. Give u(h(c)).\nAnswer: 56557884*c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**2 + 8*r - 9. Let y be l(6). Differentiate 12*u**3 + y*u**4 - 12*u**3 + 1 wrt u.\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aaah when four letters picked without replacement from {a: 3, h: 1, q: 16}.\nAnswer: 1\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.08988 - 10.\nAnswer: -9.91012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (11*m + 2 - 11*m - 3*m**2)*(4 + 2*m - 4)*(m - 3*m - m) to the form s*m**4 + d*m**3 + z*m**2 + i*m + u and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + a + 28 = -2*h, -2*a + 10 = -3*h. Let s be h\/(-8)*96\/90. What is the second biggest value in 3, 0, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:10 PM and 4:36 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0 + (1\/(-6)*-22 - 3)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 1 i, and 1 r when three letters picked without replacement from iiiiiiiiiiiriib.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (37*k**2 - 280*k**3 - 37*k**2)*(0 - 24 - 40)*(-1 + 1 + 2*k).\nAnswer: 35840*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that 3*r**5 - 363*r**4 + 10425*r**3 + 33483*r**2 + 34224*r + 11532 = 0.\nAnswer: -1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 315391*g**3*v**3 + 3338*g**3*v - 2*g**3 - 11*g**2*v**4 - g**2*v**2 - 48*g*v**2 - 1 wrt v?\nAnswer: 1892346*g**3 - 264*g**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the second derivative of x**7\/14 - 11*x**6\/2 + 477*x**5\/20 - 157*x**4\/4 + 26*x**3 + 7874*x. What is o in s(o) = 0?\nAnswer: 0, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that 6*s - 1\/6*s**2 + 37\/6 = 0.\nAnswer: -1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k. Let w(p) be the third derivative of -19*p**8\/6720 - 5*p**5\/12 + 26*p**2. Let n(g) be the third derivative of w(g). Calculate y(n(o)).\nAnswer: 57*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**3 + 13*t**2 - 13*t + 18. Let j be g(-14). Let d(s) = -12*s**2 + 22*s**2 - j*s**2 - 9*s**2. Let u(n) = 7*n**2. Give d(u(b)).\nAnswer: -147*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 3*z**3 + 15*z**2 + 7*z + 14. Let d be q(-6). Let f = d + 154. Solve -4*a = -f + 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 28 - 23. Which is the nearest to 2\/5?  (a) 2\/5  (b) j  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -42830252*h**5 + 73*h + 142754 wrt h?\nAnswer: -856605040*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxxvjxxfevyv. What is prob of sequence eyj?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, 0.02, -6, -1\/5, 0.4, 0?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -60, -137, -344, -747, -1412, -2405?\n\"Answer: -11*c**3 + c**2 - 3*c - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -375*(8 - (-140)\/(-15)) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/((-7)\/21*1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 2 h when three letters picked without replacement from {h: 8, d: 3}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cecc when four letters picked without replacement from {y: 2, e: 4, c: 2, a: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 38197273, 38197274, 38197275, 38197276, 38197277, 38197278?\nAnswer: 38197279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 - 3 = -3*a. Let j be a\/(20\/(-8))*5. Suppose j*b + 930 = 7*b. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 645*y - 1215*y + 613*y.\nAnswer: 43*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q - 5. Suppose 0 = -2*l - 0*l + 2*p - 16, 3*p = 6. Calculate h(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1601906 a multiple of 752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1777?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12650?\nAnswer: 2, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 954050, 3816213, 8586488, 15264875, 23851374?\n\"Answer: 954056*h**2 - 5*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**2 + 2*l**2 + 0*l**2 + 0*l**2 + 1 - 14*l. Let y be z(14). Which is smaller: 2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (g + 1 - 1 + (-1 + 0 + 2)*(4*g - g - g) + 0 + 2*g + 0 - 6308 + 6308 - 354*g + (2 - 3 - 1)*(-g + 0*g + 3*g))*(-1 + 1 - 2).\nAnswer: 706*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4418*q**4 + 40796*q wrt q?\nAnswer: 53016*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -27.2 - -28. Let u = -1.8 + s. Put u, 1\/8, -0.5, 0 in ascending order.\nAnswer: u, -0.5, 0, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 10 = -t. Suppose t*h - 76 = -n, -h - h - 5*n = -35. What is the greatest common divisor of 6 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the third derivative of -5*i**4\/24 + 5*i**3\/6 + 4*i**2. Suppose 0 = -s, 2 = -3*b - 5*s - 13. Is 10 a factor of q(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -369 - -629. Let i = -305 + r. Which is bigger: -47 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48829 divided by 11?\nAnswer: 4439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o + 24 - 126 = 3*b, -4*b + 157 = 2*o + 41 for o.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -152\/9 - 227\/18. Let n = x - -30. Sort -4, n, 0.3 in decreasing order.\nAnswer: n, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 16*w + 24*w**3 - 11*w**3 - 12*w**3 - 33*w - 42*w to x + p*w**3 + s*w + b*w**2 and give s.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s**2 - s - 2. Let h(d) = -d**2 + d. Let l(w) = -w - 8. Let a be l(-10). Let p be h(a). Calculate the remainder when f(p) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 113\/14513506 and -107\/41454.\nAnswer: 130621554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -15  (b) -4  (c) -0.3  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve a = -4*x - 3, 2*x - 3*a - 4 = -41 + 18 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 minutes after 1:37 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -149*k**2. Let w(g) = -g**2. Determine b(w(y)).\nAnswer: -149*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*n**2 - n**2 + 2*n**2 + (-n + 4*n - 4*n)*(0*n + 3*n - n) + 2*n**2 + 0*n**2 - 4*n**2.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 30.78519l to millilitres.\nAnswer: 30785.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-15)\/(5040\/24)*2\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -107.5 and -0.8?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p**2 + 5*p + 3. Let u be m(-5). Is u at least as big as 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7222 - -7223. Let d = 10 + 6. What is the greatest common divisor of q and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -364 + -40313?\nAnswer: -40677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uk when two letters picked without replacement from {g: 8, b: 3, u: 2, l: 2, k: 4}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -15*k**2 + 5*k + 3. Let w(t) = -8*t**2 + 3*t + 2. Suppose 13 = -10*s - 17. Let p(x) = s*m(x) + 5*w(x). Differentiate p(y) with respect to y.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 218 - 156. List the prime factors of r.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 16294\/3 + -5430. Let z(n) be the first derivative of 0*n + 0*n**5 + p*n**6 + 0*n**3 - 8 + 0*n**4 + 1\/2*n**2. Find the second derivative of z(a) wrt a.\nAnswer: 160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5937 - 5898) + 0 + 0?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 98645?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-41 - 30*k + 41 + k + 2*k - 2*k + (0 - 2 + 1)*(-k - k + k) - k - 2*k + 4*k)*(-k + 0*k - 3*k).\nAnswer: 108*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 8*o**2 + o + 1. Let l be i(-1). Suppose -l*y + 0*y = 0. Solve 4*w = -y*w - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 700 minutes after 11:22 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -34 + -5?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 12510  (b) 0.8  (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 2 p when three letters picked without replacement from pwvtttftwfvptvtp.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -756 = 180*w - 2*j - 222, -w - 2*j - 9 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 3) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -173059, -173060, -173061, -173062, -173063, -173064?\nAnswer: -173065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = 2*h + 5*b, -10*b = 3*h - 5*b + 19 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2707 - 2718 - (-1 + 1 + -24)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*t**2 + 195*t**2 - 23*t**2 + 91*t**2.\nAnswer: 238*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -83500, -166994, -250488, -333982?\nAnswer: -417476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ew when two letters picked without replacement from {h: 8, w: 2, e: 3, r: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49 is divided by 41.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = -5*l + 18, 3*l = l + 5*y - 16. Let p = 16 - 11. Solve l*a + 1 = p for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 27.116 - 0.316. Let l = k + -19. What is l rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4407.31m to kilometers.\nAnswer: 4.40731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 31729 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -14766514*1\nAnswer: -14766514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3110 + 3110.3. Put -3, 2, -1\/6, r, 0.2 in descending order.\nAnswer: 2, r, 0.2, -1\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -257*r**3 + 2*r**2 - 2*r + 1. Determine y(1).\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 42 - 37. Let y = -0.9 - -0.9. What is the second biggest value in -4, f, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -33 - -49. Let w = 6 - 11. Let d(s) = s**3 + 7*s**2 + 4*s - 6. Let k be d(w). Calculate the greatest common divisor of h and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 18 + 44. Suppose -b = -x + 2*u, 4*x = 5*x - u - 57. Does 24 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22762481 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-4)\/k*k*k\/k**(-6)*(k*k**(-1))\/(k\/(k**(-1)\/k)) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-48)*(-9 + 12)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-4))\/(24\/(-30)*(-65)\/26).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -23188, -91404, -205096, -364264, -568908, -819028?\n\"Answer: -22738*j**2 - 2*j - 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00561884187 rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 minutes before 9:38 PM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 980?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 125195 and 95849.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 45 and 324585.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 23922 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -q + 4*q. Suppose 2*l = l + q. Let k(r) = -l - r**2 + 0 - 1 + r. Determine k(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 828919 and 3073.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = t - 25, 8*t - 3*t - 125 = 5*q. Suppose 0 = 5*w - d + 2*d - t, -2*w = 5*d + 13. Let g be ((-40)\/w)\/(1\/(-3)). Solve -c = 3*c - g for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7523 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 + 3 = -t - 3*i, 4*t - 3 = -i. Suppose 4*d + t*d + 111 = 3*q, 15 = 5*d. Let p = 61 - q. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eehbghghitghhthehii. Give prob of picking 1 t and 1 e.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5086 is divided by 96.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 5911, 5764, 5607, 5434, 5239, 5016, 4759, 4462?\n\"Answer: -s**3 + s**2 - 143*s + 6054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, x: 14}. Give prob of sequence xa.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12317.\nAnswer: 109, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 25.8 - -0.2. Let j = t - 26.0224. What is j rounded to three dps?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13*v - 2 + 5 - 3)*((-2 - 2 + 3)*(3 - 6 + 0) + 0 + 1 - 3 - 4 - 8 + 5).\nAnswer: -78*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/2, -4, 1\/2, 14.7 in descending order.\nAnswer: 14.7, 1\/2, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 86*s - 56*s + 150. Suppose 12 = -5*b + 2*b, -3*a - 1 = -5*b. Put 3, a, s in ascending order.\nAnswer: a, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + -3 + sqrt(11) + 4)**2 + -2 + (2*sqrt(66)*4 + sqrt(66))\/((sqrt(270)\/sqrt(5))\/sqrt(9)))*1.\nAnswer: 3*sqrt(11) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.12?  (a) -0.1  (b) 4295  (c) -2  (d) -1976\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 9*d - 10*d + 2*d. Let o be h(2). Solve 0 = -o*t - 0*t - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 652153 (base 9) to base 4\nAnswer: 1132321032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the second derivative of 15*m - 1\/24*m**4 - 1\/20*m**6 - 1\/84*m**7 + 0 + 0*m**2 + 0*m**3 - 3\/40*m**5. Find p such that f(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -13516897*i*q**3 + i*q**2 - 705363*q**2 - 2*q - 3 wrt q?\nAnswer: -81101382*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -l**3 + 11*l**2 - l - 13. Calculate the remainder when k(9) is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-1\/32)\/t)\/t*t*t*t\/(t**(5\/2)*t)*t*t assuming t is positive.\nAnswer: t**(-17\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -176*n - 347111 = -349751 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -134.238007 rounded to the nearest integer?\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/(-10) - (-2485)\/350. What is c rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -14*h*v**4 - 13*h*v**2 + 85*v**4 + 4*v**2 + 27*v wrt v?\nAnswer: -336*h*v + 2040*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 456 + -104. Let y = t - 348. Solve y = -6*v - 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 88\/12 + -7 - 2323\/(-69). Suppose -51 = -5*n + 129. Is s less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5 - c + 5)*(0*c - c - 3*c) - 2 + 2 - c**2 + 6*c**2 - 4*c**2 - 3*c**2 in the form j*c + y + s*c**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 265.51 - -0.49. Let m = a - 266.00000029. What is m rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -91212, -182426, -273640, -364854?\n\"Answer: -91214*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add 71057113 and 0.\nAnswer: 71057113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*w - 2*w - 161. Let m = w - -39. Does 12 divide (-3 - (-36)\/m)*-144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 110202112222 (base 3) to base 6\nAnswer: 5214512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (6*3*sqrt(6)\/sqrt(2)*3)**2.\nAnswer: 8748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v - 4*j - 15 = 0, -2*v + 6 = -996118*j + 996114*j for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2043.2 + -2043. Which is the second biggest value?  (a) -1\/4  (b) -1\/10  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t**3 + t**2 - 6*t + 3. Let m(r) = r**2 + 13*r + 35. Let b be m(-9). Let c be 1\/b*(-126)\/(-42). Give y(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -s - 3. Let k(z) = 30. Let p(o) = k(o) + 10*v(o). Let i(a) = -6*a. Give i(p(b)).\nAnswer: 60*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**2)**(11\/2)*(u*u**(-2)*u)**(-38) assuming u is positive.\nAnswer: u**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 20\/100366783 or 0?\nAnswer: 20\/100366783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5919 = -259*y + 2887 for y.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 52 minutes after 1:07 AM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 84*l - 3*l = 567 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -2676805 (base 10) to base 9\nAnswer: -5028787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -108*v**3 - 3*v**2 + 3*v + 3. Let y be -5 + 0 + (-4 + 12 - 4). Is n(y) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 47329851?\nAnswer: 3, 683, 23099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -2*f**3 - 11*f**2 + 5*f - 5. Let r be z(-6). Solve -3*o - 2 - r = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10 + 402*o + 412*o - 3 - 827*o.\nAnswer: -13*o - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 2*k = -37, 0 = -y - 2*k + 7*k - 29. Let o = -7 - y. Is -3 - (o - 5 - 10) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*u + 48 = 27*u. Solve 0*b + u = -2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 27*j. Let a(d) = 595*d. Let r(i) = 2*a(i) - 45*u(i). Let o(y) = -3*y**2. Determine o(r(s)).\nAnswer: -1875*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = -q - 34, 2*f = -5*q - 86 + 77. Is q smaller than 1\/2766?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 482\/4338 + -2 + (-218)\/18.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cccfgcfdfcucooucdo. Give prob of picking 1 f and 1 u.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 10336 and 6460.\nAnswer: 51680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w**2 + 5*w + 3. What is u(-5)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1512 or -19661\/13?\nAnswer: -1512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -52 - -53 - (0 - -1 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 23\/7  (b) 2\/3  (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (42 - 7*w - 42)*(3*w + 0*w - 5*w + 3) - 4*w**2 + 4*w**2 - w**2 + (-3 + 2*w + 3)*(-w + 0 + 0).\nAnswer: 11*w**2 - 21*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t + i + 20 = 5*t, 3*t = -3*i + 30. Suppose -t*j = 10 - 50. Let y be 162\/j*72\/27. What is the greatest common divisor of 6 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -6*1\/(-6)*2. What is the third derivative of 61*l - 3*l**4 - 61*l - 5*l**d wrt l?\nAnswer: -72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 42, 46, 50?\n\"Answer: 4*w + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -3651*g - 29272. Determine b(-8).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2458607*t = 2458641*t - 1462 for t.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-two fifths of a meter in centimeters?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b = 2*p + 110, 1913 = -15*p + b + 1024 for p.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = -5, 2*n + 2*n + 5*k = 43. Solve -t = 3*t - n for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 28, -84, -2\/5, 0.5, -1.2, -5 in descending order.\nAnswer: 28, 0.5, -2\/5, -1.2, -5, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -192, -2\/9, -1 in decreasing order.\nAnswer: -2\/9, -1, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a - 24 = -28 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 33700 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -501 + 675. Find the common denominator of 59\/93 and ((-3)\/6)\/((-3)\/x).\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(((sqrt(1900)*1 - sqrt(1900))*-5)**2 - -6*-1*sqrt(1900)).\nAnswer: 240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -86 + 45 + 40 - 39\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1\/5, 5, 0.1, 191?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 11015 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -96, -6, 2, -3.\nAnswer: -96, -6, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -9*q. Let i(d) = -4*d - 3*d - 4*d + 6*d - 4. Let k(j) = 21*j + 18. Let l(s) = 9*i(s) + 2*k(s). What is g(l(u))?\nAnswer: 27*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 18329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b**3 + 6*b**2 - 1. Let n = 22 + -16. Calculate t(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-2*sqrt(441))\/sqrt(7).\nAnswer: -6*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0\/(-3 + -1) + -1. Let u be 4 + c\/(4\/(-20)). Let b be 27\/u - (3 + 2640000). What is b rounded to the nearest 100000?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-792)\/22 + (-7 + 2)\/(-1). Is u bigger than -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -2 + 3 + 3 - 2*v. Let i(c) = -2 + 6 - 4*c + 5. Determine 2*i(l) - 5*z(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3\/7, 50, 0.049, 34?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s - 2*s + 27 = 3*x, 0 = 5*s - 2*x - 77. Suppose 4*p + 3 = s. Suppose 199 = p*o - 98. List the prime factors of o.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 4*v**2 - 3*v - 2. Calculate c(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 7*l**2 + 7*l + 6. Let m(q) = 10*q**2 + 11*q + 9. Let p(i) = 7*k(i) - 5*m(i). Let o be p(-4). Suppose 18 = o*t - 42. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -17*d**2 - 590*d + 1171. Determine b(2).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -i + 12*i - 7*i + 12*i as t*i + b and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = -6, 0*l - 8 = -g - l. Suppose -g*f = 2*d - 15, d + f - 3 = -0. Solve d = 6*t - 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/2  (b) -4  (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 9*c + 167. Let g be q(-19). What is the closest to -1 in g, -1, 1\/6, 0.07?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (7 - (-700)\/(-98)) + (-4412)\/(-14). Let o = 320 - x. Let c = 11 + -9. What is the smallest common multiple of o and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4609*m + 4942*m - 2175*m)*(-m + 0*m + 2*m)*(-3*m + 3*m - m) in the form b + j*m + w*m**3 + v*m**2 and give w.\nAnswer: -7376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Are -18233 and -18234 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 1 + 3)*(-1 - 1 + 3)*(-3*b - 10*b + 4*b).\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000003022511356 to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 3050 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 15582 by 6.\nAnswer: 2597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -107 + 118. Calculate the remainder when 64 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3)\/((-77)\/28 + 2). Suppose x - 6 = -w, 0 = g*w - 8*w + 4*x + 32. Calculate the highest common factor of 10 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*t - 24*t - 20*t.\nAnswer: -17*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -66 - -56717\nAnswer: 56651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 24 + -8. What is the remainder when 31 is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.4?  (a) -9  (b) -0.3  (c) 0  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let -p**3\/10 + 2589*p**2\/10 + 259*p = 0. Calculate p.\nAnswer: -1, 0, 2590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the first derivative of -k**4\/4 - 3*k**3 + 7*k**2\/2 - 14*k + 2. Let f(x) = 114*x + 674. Let o be f(-6). Determine y(o).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4 and 38.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*i + 2 - 42767*i**2 - 19*i.\nAnswer: -42767*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 393915.\nAnswer: 3, 5, 26261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10199 + 10196. What is the smallest value in w, -0.2, -2\/5, -0.5, -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-9)\/(-4) - 2\/8. Let j be (1 + (-8)\/8)\/2. Solve -t - 5 + l = j for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 850 or 852?\nAnswer: 852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -96, -189, -282, -375?\nAnswer: -468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 77.5 + -78. Let y be 4\/(-24) - (-25)\/6. Suppose 4*u - 4 = -2*p, 0*u - 4 = -y*u. Which is the biggest value?  (a) p  (b) o  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 26\/9?  (a) -0.008  (b) 2  (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -23 + 13?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 11 - -87202541\nAnswer: 87202552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 4, f: 2}. What is prob of picking 2 c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 61 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let -16*x**3 - 140*x**2 - 92*x + 32 = 0. What is x?\nAnswer: -8, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 28 + -28. Let h(r) = 0 + x + 11 + r. Is h(6) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8 + -4. Suppose -5*t - g = -50, 5*g - 54 = -s*t + 7. Calculate the remainder when t is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1507\/5, 5, 0.34 in ascending order.\nAnswer: 0.34, 5, 1507\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 2*k**2. Let c(y) = 2*y**2 + y - 1. Let a(o) = 7*o**2 - 30*o - 4. Let l(v) = -a(v) + 4*c(v). Determine r(l(d)).\nAnswer: 2*d**4 + 136*d**3 + 2312*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -158*x**2 + 115*x - 228. Calculate q(2).\nAnswer: -630","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 847962811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -494021, -494054, -494087, -494120, -494153, -494186?\nAnswer: -494219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ppppppppp. What is prob of sequence pppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (50*(-20)\/(-50))\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*d + 139 + 59 = 0 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**3 + 14*l**2 + 7*l - 65. Is m(-13) a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 10 - 8. Suppose -h*j - 2*j + 648 = 0. What are the prime factors of ((-22)\/(-6))\/(9\/j)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -3*z**2 - z**2 - 4 + 0*z**2 - 8*z + z**3. Let a be i(6). Is (-2331)\/(-15) - 8\/a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 8*f**2 + 9*f - 148. Calculate y(11).\nAnswer: 919","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-266)\/8)\/(-7) + (-52)\/26.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-70)\/54)\/((-4662)\/(-3996)).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -695866 divided by 2?\nAnswer: -347933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -1774 + q**4 - 6*q**2 - 2*q + 95*q**3 + 1776 + 6*q**2 in the form p*q**3 + a*q**4 + t*q**2 + i*q + z and give p.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/7015032 and 137\/223344?\nAnswer: 154330704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.175, -0.3, -5\/6, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13721017 is divided by 1016.\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q**2 - q. Let y be b(2). Suppose -h - y*d + 51 = 0, -h = -5*d + 29 - 87. Is h a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3)\/(-15)*(-3)\/(27\/(-240)). Let r(x) be the first derivative of -f*x**3 + x**2 + x - 12. Determine r(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 212 a factor of 274349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 36 + -17. Suppose 7*d = 3*d + 176. Let g = d + 10. Calculate the remainder when g is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -63*u + 592 + 408 = -23*u for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5 + 4 + 0)*(-4*a**2 - 4*a**2 - 6*a**2)*(-2*a + 0*a + a) + 2*a**3 + 0*a**3 - a**3 to the form w*a + n + l*a**3 + y*a**2 and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 - 248*p + 743*p + 1331*p - 328*p to q + v*p and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l**3 + 4*l**2 + 6*l + 1. Let x = 281 - 276. Determine p(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/(-30) - 235\/(-75). Suppose w*y - 10 = 26. Let o = y - 7. Let z(t) = 2*t - 6. What is z(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttavqazzvqto. Give prob of picking 1 t and 1 o.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 - 1 = -3*y. Suppose 106 = -y*q - q. Let z = q - -127. What is the remainder when 39 is divided by z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 = -4*s - 0*s. Suppose 4*r + 4 = -2*q, -5*q = -2*r + 5*r - s. Suppose 4 = q*h - 16, 5*h + 119 = 4*x. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in 3, -0.2, -4, 3\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-4)\/(-5))\/(4 + 158\/(-40)). Suppose -x = -5*s + s. Suppose 0 = 3*i - 55 + 28. Solve -s*d + 25 = -i*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.04687  (b) -4  (c) -1.2  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -12  (b) -1  (c) -44838\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15230*0.7.\nAnswer: 10661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 20 = -4*j. Suppose -2*d + 13 + j = 0. Calculate the remainder when 35 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = 1558 + 747. Let a = -4731\/10 - h. Find the common denominator of a and (-3 + 111\/102)*16\/(-20).\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 3*j + 5 = 6*l, 2*l + j - 2 = 0. Let t = l + -1. Suppose t*q + 4*q = -2*n + 740, -4*n = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.493671 millilitres to litres.\nAnswer: 0.000493671","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 339963 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-21 + 5*d + 21)*(3*d + 1 - 6*d + d).\nAnswer: -10*d**2 + 5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1692 != 199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 312 and 3939?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 1266, -74 in ascending order.\nAnswer: -74, 0, 1266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 130*g**4 + 169 wrt g?\nAnswer: 520*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/1816 and (226\/36)\/((212\/(-159))\/(-1 - -5))?\nAnswer: 5448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -587 + 586.67. Put -2\/5, o, -4, 10 in decreasing order.\nAnswer: 10, o, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7313100150?\nAnswer: 2, 3, 5, 59, 826339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-2)\/25)\/(4\/(-20))*15. Let m(c) = -18*c - 21. Let r be m(n). Let p = r + 210. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1281 + -1276. Let s be (-2062)\/(-14) - (-8)\/(-28). Suppose 0 = -l*p + 2*p + s. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = z + 2*k, z - 4*z - 4*k + 17 = 0. Sort 1, -10, z in descending order.\nAnswer: z, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**2 + 120*w - 1727. Let h be k(13). Put -173, h, 3 in decreasing order.\nAnswer: 3, h, -173","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 3*x = 145, 16*x = 2*f + 15*x + 58. Let k(g) = g**2 + 22*g - 206. Determine k(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h + 4*l - 9, 0 = -l - 3 + 6. Suppose 0 = f - 2*b - 26, -5*f + 42 = -2*f + h*b. Solve 0 = -k + f - 22 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42\/10*-15*294\/(-54) is divided by 126.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -12*z**2 - 6*z + 3. Let y(w) = 35*w**2 + 17*w - 9. Let b(k) = k**2 + 155*k - 470. Let v be b(3). What is v*y(a) + 11*t(a)?\nAnswer: 8*a**2 + 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0.07 - 44223\nAnswer: -44222.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1844, -3649, -5474, -7337, -9256, -11249, -13334, -15529?\nAnswer: -17852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11*-6*(-17)\/(-102).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the third derivative of 5\/16*i**4 + 0 + 0*i + 3\/4*i**3 - 4*i**2 + 7\/120*i**5 + 1\/240*i**6. Determine v, given that u(v) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((sqrt(98) + 0 - sqrt(98)) + sqrt(242)*-2 - (5 + (sqrt(2) - sqrt(72)) - (sqrt(216)\/sqrt(12))**2)) + 1.\nAnswer: -34*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - -3)*(14\/3)\/7.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -1473*h - 27971. Give p(-19).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes after 9:33 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = 2*t + 2808 + 22894, -4*t - 10252 = -2*s. Calculate the remainder when s is divided by 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d*d**(-1\/2)*d)\/d**8)**(-46))**(-50) assuming d is positive.\nAnswer: d**(-14950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wxqsxwqhqsqbhhsqqq?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the second derivative of -13*q**3\/6 + 45*q**2 - 1875*q. Determine c(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 76348110?\nAnswer: 2, 3, 5, 131, 19427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 4, i: 2, m: 3, l: 2, y: 1}. What is prob of picking 2 b and 2 m?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:14 PM and 6:06 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 - 393 = -3*j - 5*i, 2*j + 4*i = 244. Let p = 209 - 129. Let h = j - p. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-21)\/(-42)*(-2)\/3*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -98 = -7*c + 5*c - 2*a, 4*a = -5*c + 248. Let p = 189 - 112. Let n = p - c. What is n rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 106 - 0\/((-21)\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 5, g: 9}. Give prob of picking 4 g.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1733335 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r**3\/5 - 15*r**2 + 105*r - 225 = 0 for r.\nAnswer: 5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/16 of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 463137 and 179703?\nAnswer: 1461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 7*s + 265. Let n be o(-37). Let f(u) be the first derivative of u**2\/2 - 8*u - 1. What is f(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange j**4 - 2*j**4 + 3*j**4 + (0 + 4 - 6)*(70*j**4 + 272*j**3 - 272*j**3) to the form i*j + l*j**2 + n*j**4 + k*j**3 + c and give n.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/28560 and 31\/952.\nAnswer: 28560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -12545 - 43288483.8\nAnswer: -43301028.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 10\/(-4) - (21\/6 + -4). Let v(t) = -7*t + 1 - 7*t + 1. Let u be v(y). Calculate the highest common factor of 15 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 51 and 12788522?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 2*f - 4. Let w(p) = 3*p + 16. Let g(c) = -c - 8. Let r(v) = -5*g(v) - 2*w(v). Let s be r(-8). What are the prime factors of o(s)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = -2*z - 2. Suppose 65 = -0*b + 5*b. What is the remainder when b is divided by (z\/(-9))\/(2\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -1.005 and 0.57.\nAnswer: -0.435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 4547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (40\/(-18))\/((-68)\/306)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 13 + 0. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.029 from -4.262.\nAnswer: -4.291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 332 = 4*p. Suppose -5*b + 97 = -3*s, -4*s - s = -4*b + p. Let f = 57 + s. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:44 PM and 11:28 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1011021101000 (base 3) to base 6.\nAnswer: -21105430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41 = 3*h - 5*x, -5*h + 825622 - 825531 = 3*x for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5226817424 to the nearest integer?\nAnswer: 1735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 24*x. Let i(v) be the first derivative of -v**2\/2 + 3. Determine i(b(p)).\nAnswer: -24*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16150 and 4.\nAnswer: 32300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -2000 (base 3) in base 6?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes after 11:54 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1169 - 1175 + 70*m - 147*m + 74*m + 2342.\nAnswer: -3*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2596 a factor of 69063965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -5*a - 38. Let h(v) = -10*v - 77. Let y(z) = 5*f(z) - 2*h(z). Let w be y(-8). Solve i + 4 = 2*o, 5*o + w*i = -i + 25 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -2*p + 255011. Let u(s) = 5*s**2. Give y(u(r)).\nAnswer: -10*r**2 + 255011","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 96852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/2, 2\/89, -1\/460 in ascending order.\nAnswer: -3\/2, -1\/460, 2\/89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 909*p - 65. Let c(m) = -398*m + 32. Calculate -7*c(o) - 3*g(o).\nAnswer: 59*o - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 4*j + 2. Let o be p(4). Let n be 2\/4 + o\/4. Suppose 4*m - 5*m = -n. Solve -2*k - w = 2*w - m, 0 = 2*w - 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h**4 - 42488*h**3 + 8925616*h**2 + 36212192*h + 36382080 = 0. What is h?\nAnswer: -10828, -2, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tyytt. Give prob of sequence yy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 4371\/76 < 58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 64\/77 and 8\/189.\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -711102 - -1236702. What is x rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qzzzhzzzqzhzz. Give prob of picking 2 h and 1 q.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -d**2 + 27*d**3 + 44*d**3 - 96*d**3 + 2 to k + p*d**3 + j*d + y*d**2 and give p.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -43806379685.1 - -43808910584.099948. Let z = 2530888 - o. Let b = z - -11. What is b rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((9 - -4)*-1)\/(2 - 3). Suppose 21 = 17*g - c*g + 5*y, 3*g = -y + 13. Solve -5*l - v = -2*v - 19, -4 = -2*l + g*v for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 3, h: 9}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 140 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s**2 + 10*s - 13. Let d be g(10). Let o = 9 + d. Let p = o + 6. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + 1 + -4*(sqrt(448) + 1) + (2*(sqrt(448) + 1) - (0 + sqrt(448) + sqrt(448)*2)) + -2)*5)**2.\nAnswer: 280000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -31383918 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 63 = d. Suppose -81 = -6*x + d. Suppose 9 = -j + x. Calculate the remainder when 35 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 137 minutes before 12:14 AM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -131, 5, 2, -4, 1, -79 in decreasing order.\nAnswer: 5, 2, 1, -1, -4, -79, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u - 2*q - 201 = u, -2*u + 2*q = -78. Suppose 21 = 4*l - 3*b, 5*l - u + 17 = 3*b. Suppose -5*m - v = -3*m - 29, l*m - 2*v - 40 = 0. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6 + 0 + -8 - (-6 - -1). Suppose 0 = -4*b + 4*t - 164, b + t - 83 = l*b. Let n = b + 44. Solve n*v = v - 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.19 + -17.99. What is u rounded to 0 decimal places?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-7)\/3)\/((-27)\/81).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 309845 to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**3 + 6*j**2 - 4*j - 1. Suppose -4*h + 5 = -3*h. Let c be x(h). Factor 0 + 1\/5*r**2 - 1\/5*r**3 + 1\/5*r**5 - 1\/5*r**c + 0*r.\nAnswer: r**2*(r - 1)**2*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -p**4\/9 - 608*p**3\/9 - 2989*p**2\/3 - 4756*p - 7116 = 0. What is p?\nAnswer: -593, -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 115 divide 2069425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 3*p, 4*p + 8 + 7 = -c. Let x(s) = -s**3 - 4*s**2 + 2*s - 5. Let u be x(-5). Let g = u - c. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -51524\/5 or -10305?\nAnswer: -10305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:49 PM and 9:55 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 1021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (14*1)\/((-12)\/240*-20)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b, 1 h, and 1 z when three letters picked without replacement from zhbhbhhhhbbbzhzz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 80*l**2. Let a(j) = -3202350*j**2. Calculate a(x(o)).\nAnswer: -20495040000*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1 and 54.0534?\nAnswer: 53.0534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44423.\nAnswer: 31, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3646180914.\nAnswer: 2, 3, 653, 853, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10205.\nAnswer: 5, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 60759945 and -0.218?\nAnswer: 60759945.218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1ca + -5?\nAnswer: 1c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 68.02 - 69. Let n = 49.27 - v. Let q = n + -49. What is q rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (114 - (-1 - (-27 + 12))) + -14.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 30331861235 + 2.79.\nAnswer: 30331861237.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 302*d**5 - 6522*d**2 - 25348325*d wrt d.\nAnswer: 6040*d**3 - 13044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 31351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.1413 - 1.3313. Sort k, 0, 0.1, -0.1 in increasing order.\nAnswer: k, -0.1, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 2017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the second derivative of 29*n**4\/12 - n**3\/2 + n**2\/2 + 2*n. Let j be k(2). Let z = -46 + j. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5713547 and -43.\nAnswer: 245682521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -266.42 + 36.42. Which is the third smallest value?  (a) q  (b) -0.1  (c) -2  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x = -175*z + 180*z - 7 - 10, 2*x = -4*z + 14 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - x + 4*x**3 + 0 + 3*x**3 + 0 as u*x**2 + v*x + z*x**3 + p and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -17212 + 17214. Suppose -3*t + 13 = -2. What is the fourth biggest value in t, 4, 0.6, m?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -5*x - 125, -16*q + 19*q = 4*x + 103. Which is greater: -23 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 0*n - 36 = 4*j, n + 5*j = -15. Solve n = -5*w, 3*g - 3*w + 2*w = 7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.339, -0.3, -1, 2\/21, 2, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 614\/(-14) - (13\/(-52))\/((-7)\/4)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 33*v - 3 + 3 - 8*v to c + m*v and give m.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1473*v = 1474*v + 4*r - 11, 17 = v - 2*r for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3\/188  (b) -3\/5  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -6 times -0.09\nAnswer: 0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 6 = -v. Let s(z) = -z**2 - z - 1. Let m(c) = 30*c**2 + 25*c + 25. Calculate v*m(h) - 25*s(h).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 + 18. Suppose -4*m + 96 = 91*d - 87*d, d - 24 = 4*m. Calculate the remainder when d is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j**2 - 12*j - 17. Let c be u(-10). Suppose -12*y - c*y = 0. Suppose 7*o - 2492 + 903 = y. List the prime factors of o.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gqcaq. Give prob of sequence ag.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 14) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 459 is divided by 133?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -315466 + -13?\nAnswer: -315501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q = -s + 2, 5*q + 19 - 13 = s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.109 + 4.439. Let z = -4 + l. Let u = z - -0.17. What is the smallest value in u, -0.4, 8\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2082 - 1018 = -775*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 11452 and 58078.\nAnswer: 813092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -14 - -23. Let n = o - 8.6. Sort -1, n, 2 in descending order.\nAnswer: 2, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 623 minutes before 2:51 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the third derivative of 0 + 0*s**7 + 0*s - 1\/168*s**8 + 0*s**3 - 1\/4*s**4 + 0*s**6 + 0*s**5 + 10*s**2. What is the second derivative of k(w) wrt w?\nAnswer: -40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/5?  (a) -1\/141  (b) 54  (c) 1.5  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*p - 9*p = 126. Suppose p = 4*w - w. Solve -5*t + w = -13 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25895*d - 30592*d = -493185 for d.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -2*o + 607. Let v(w) = w - 404. Determine -5*h(r) - 8*v(r).\nAnswer: 2*r + 197","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 - 4.5. Let s = p + 1.9. Let d = 93.6 - 93.5. What is the third biggest value in d, 4\/3, s, -2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -127 - -151. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -937 - -947. What is the least common multiple of k and 260?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -13*t**2 - 2*t - 3. Let i be b(-2). Let j(a) = -a - 18. Let h be j(0). Let n = h - i. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1724394 at most as big as -1724394?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 27\/166 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 1443*c + 11918. What is the remainder when o(-8) is divided by 32?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 32247.64602306 + -32005.64603. Let d = -242 + o. Round d to 7 dps.\nAnswer: -0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -61bc4 (base 13) to base 6\nAnswer: -3432514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 4*j + 60 = 0. Let t(a) = 11*a**2 + 2*a + 2. What is the remainder when t(-2) is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the first derivative of 0*d**3 + 0*d + 161\/2*d**2 + 0*d**4 + 232 - 42\/5*d**5. What is the second derivative of y(f) wrt f?\nAnswer: -504*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 185, 1465, 4927, 11663, 22765?\nAnswer: 39325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1358.56 + -1388. Round p to the nearest integer.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is y in -y**3\/4 + 77437*y**2\/4 = 0?\nAnswer: 0, 77437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 26640 and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 172*j**3 - 58 - 57 + 173 - 58.\nAnswer: 172*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 3*t = -2*t - 9, -3 = -2*c + 5*t. What is the third derivative of -3*s**c + 4*s**2 + s**4 + s**2 wrt s?\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7 and 4450?\nAnswer: 31150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 29190.45 rounded to the nearest 1000?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2.9 in -2\/5, 3, -2\/21, 111?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -8*k + 56. Let o be a(7). Suppose 7*u - 162 - 650 = o. List the prime factors of u.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m**3 - 8*m**2 - 2*m - 2. Let d(s) = -s**3 + s + 1. Give 2*d(q) + u(q).\nAnswer: -q**3 - 8*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 2169 * -178\nAnswer: -386082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.4  (b) 4.9  (c) 5  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1943 + 1910 = -11*x. Let a(l) = -l**3 - l**2 + l + 3. What is a(x)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6503 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -251689, -251069, -250037, -248593, -246737, -244469, -241789?\nAnswer: -238697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 9944 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -24 - -11. Let c = -15 - m. Is ((-2)\/c)\/(9\/1719) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4922, 4682, 4442, 4202?\nAnswer: 3962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q = 2*l - 41, 7*q - 4*l + 279 = 146 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -31, -32, -33, -34, -35, -36?\n\"Answer: -p - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 2*f**3 + 798*f**2 + 27434*f + 21. What is t(-38)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -27\/49300 and 133\/10200.\nAnswer: 295800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3 and 170?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 174*k - 703. Is n(13) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 27, 5 in decreasing order.\nAnswer: 27, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 + 13. What is the smallest common multiple of p and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 2*v = 0, 0*b + v = 4*b + 6. Let n(f) be the third derivative of -f**5\/60 - f**4\/24 + 10*f**2. Give n(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2065800 and 16200.\nAnswer: 55776600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5.1 + 7.1. Which is the closest to n?  (a) -5  (b) 2  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m + 2*m - m**2)*(173 - 43 - 88).\nAnswer: -42*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1*sqrt(170)*-3 - sqrt(170)) + sqrt(170))*-4)\/(2*sqrt(160) + 2*sqrt(160))*-1.\nAnswer: -3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/5*-10*2\/44?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qczgzccqccfzkzz. Give prob of sequence cgz.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(10\/3))**(-18) assuming p is positive.\nAnswer: p**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0048498 rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 - -17. Let q = -6 + 10. Suppose 49*m = 49*m - k - 11, 2*k = -m - 19. Solve q*b - z = -m for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.0429 + 2.6611. Let k = -2.7 + a. Let g = k - -0.296. What is the closest to 2\/15 in -5, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.0179 + 0.0179429. Round k to six dps.\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 18 - 17.3. Let a = -1 + j. What is the third biggest value in -0.2, 1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3  (b) 126  (c) -0.1  (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -11*b - 1. Let v be x(1). Let m = -2141 + 2157. Calculate the remainder when 217 is divided by -2 - 681\/v - (-4)\/m.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -162*w**3\/5 - 1962*w**2 + 4384*w\/5 - 488\/5 = 0?\nAnswer: -61, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*o + l - 64, -153240 = -3*o - l - 153186 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 651178 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 9 = 29. Suppose 60 = 4*i + 4*v, i + 2*v = 15 + 3. Calculate the smallest common multiple of p and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -470aa (base 14) to base 3\nAnswer: -22210100020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-45)\/(-15) + (-6)\/3. Sort -104, 0, i.\nAnswer: -104, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18 + (3 - 1) + 49 + -45.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 58149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jq when two letters picked without replacement from {j: 5, q: 3}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 4*q**2 + 12. List the prime factors of n(7).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -15751558605 + 15751559709.9999467. Let f = -1105 + j. What is f rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 8*w - 8*w - 712*w**2 + 727*w**2 as a*w**2 + r*w + x and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*v + 597 = -9*v + 806 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -14 - 4. What are the prime factors of (6\/x)\/((-1)\/21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 1, r: 2, k: 4, o: 7, h: 2, t: 1}. Give prob of picking 1 r, 1 h, and 2 k.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 18575641531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**3 - 4*h**2 - 11*h - 199. Determine j(0).\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x*((x\/(x\/x**(1\/10)*x))\/x)\/x)\/(x\/x**(5\/3)))\/((x*x**(-9\/4))\/(x*x**(-2))))**(3\/29) assuming x is positive.\nAnswer: x**(-59\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4*((-6 - -1)\/(-5))\/1. Let v(b) = -b**2 - 7*b. Let r be v(-6). Let m(z) = -r*z - 1 + k - 2 - 2*z. Determine m(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -125 + 126. Let p(b) = -b + 8. What is the remainder when 14 is divided by p(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 101640215.2 to the nearest 1000000.\nAnswer: 102000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -3*t**2 + 12 - 2 + 2*t**2 + 9*t. Let n = 4292 - 4282. Let p be g(n). Solve 3*k - 12 = -j - j, p = 2*j - 3*k + 12 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of (-21)\/84*-61292 - ((2 - 4) + -1) and 18.\nAnswer: 137934","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/517, 1\/4, -0.2, 2, 5 in ascending order.\nAnswer: -0.2, -2\/517, 1\/4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**1)**(-6\/31)*u**(-4)\/(u**(-1)\/u*u*u))\/(((u\/(u**(4\/5)*u)*u)\/u*u**(-4)*u*u*u)\/(u**6*(u\/(u**6*u*u))\/u)) assuming u is positive.\nAnswer: u**(-711\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2644740?\nAnswer: 2, 3, 5, 7, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (10 - 5*h**2 - 10)*(41*h + 0*h + 76*h + (0 + h + 0)*(0 + 1 - 3)) as t*h**2 + i*h + l + u*h**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1329*g**2 + 957 wrt g?\nAnswer: -2658*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 14889877 at least as big as 14889877?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -360, -313, -268, -225, -184?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1649 + 5916. Is c a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - b = -14. Let g(q) = 4 + q**2 - b*q + 5*q - 5*q. Suppose a + 2*a - 15 = 0. Determine g(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 95.06149 minutes?\nAnswer: 5703.6894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add -1.542 and 0.07.\nAnswer: -1.472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*24\/42*6\/(-12)*14.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.9, 4, 0.4, -13, -2?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 10 + -36363b9?\nAnswer: -36363a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 527*b - 525*b = -3*v - 1795609, -b - 897794 = -2*v. What is b rounded to the nearest ten thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2249, 3, -5 in decreasing order.\nAnswer: 2249, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 27052.97 millilitres?\nAnswer: 27.05297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34 + 166 = 5*g. Suppose g = -7*h + 2*h. Let p = h + 21. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 487245?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -c**4 - 4*c**2 + 2 + 10*c**3 - 18*c**3 - 3*c + 5*c + 2*c**3 to the form w + r*c**2 + z*c + l*c**4 + q*c**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -19 + 21 + -33 + 15\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x**3 + x**2 - 2*x. Let y be f(-3). Let b(s) = -s**2 + 91*s + 510. Let j be b(96). What is the highest common divisor of y and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 61 and 212951?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 32*r**2 + 24*r + 21. Let v(i) = 15*i**2 + 14*i + 11. Calculate 3*j(x) - 5*v(x).\nAnswer: 21*x**2 + 2*x + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:38 AM and 1:53 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 174 + 555*d - 174 - 559*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*s**2\/5 + 3718*s\/5 + 278064\/5.\nAnswer: -2*(s - 1931)*(s + 72)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3.64 - -14.\nAnswer: 17.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -39*h - 25 + 15*h**2 + 129*h - 42*h - 46*h as s + j*h**2 + x*h and give j.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*d = 8 + 132. Calculate the remainder when 49 is divided by (0 - (-9)\/(-6))*d\/(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -3*g - 4. What is x(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1979*h + 1979*h - 3*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 23896487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xu when two letters picked without replacement from {u: 2, s: 3, x: 4}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 267\/(-5) - (18\/21 - 63\/((-59535)\/(-1188))).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 + 1. Suppose u = 5*v - 68 + 12, -i*v + 44 = 5*u. What is the greatest common divisor of v and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1495765840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*q - 4*o + 825551, -30*q = -28*q - 3*o - 330248. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 27 + -33. Let r(c) = -c**2 - 9*c - 8. Calculate r(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 86, 83, 80, 77, 74?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 99 = 28*i - 39*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Total of -23.342 and -0.15.\nAnswer: -23.492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/2, 2\/1153, 6, -7, 0.4 in descending order.\nAnswer: 6, 1\/2, 0.4, 2\/1153, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 87382069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**22\/g**2*((g*g\/g**10*g)\/g*g)\/(g\/(g**(5\/7)\/g)) assuming g is positive.\nAnswer: g**(82\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 1149 = d, 3*d = 7*d - 3*r - 4624. Suppose 4*a + o = -0*o + 2309, d = 2*a - o. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 2*r - 210 = 0, 158 = 3*x - r - r. Let b be (-1)\/(-2) + 42\/4. Let s = b + 2. What is the greatest common divisor of s and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 7*p + 5. Let x(u) = -u - 1. Suppose m + 19 = 4*t - 4, m - 31 = -5*t. What is t*x(d) + l(d)?\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/7 + (-966)\/1176*-20?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and -2351319.\nAnswer: -4702638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**3 - 8*w**2 - 7*w. What is l(-5)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-12*t**2 - t**2 - 26*t**2)*(-2*t**2 + 4*t**2 - 21*t + 18*t) to i*t**2 + c*t**4 + x + k*t**3 + r*t and give c.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 112*v - 92*v. What is the greatest common divisor of v and 674?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 433*y - 552*y + 357. Let u(j) be the first derivative of -1\/6*j**4 - 25\/3*j**2 + 0*j + 11 + 20\/9*j**y. Determine r, given that u(r) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14)\/(252\/(-81))*5\/((-135)\/(-24)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -0.3, 97.\nAnswer: -3, -0.3, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 48\/(-2)*(-3)\/(-9). Let n(t) = -t**3 + 0 - 3*t**2 - 4*t**2 - 5 + 2*t. Calculate the remainder when n(g) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * -1031411.\nAnswer: 206282.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.44 + -0.33. Let a = 0.21 - u. Let l = 2\/17 + 43\/68. What is the third smallest value in a, 3\/2, l?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve -18 = t - 2183*n + 2181*n, -3*t - 46 = -2*n for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4 - 36236803.\nAnswer: -36236802.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*s - 27 = -s. Suppose 5*z - 44 = -s*o, 34 - 10 = 2*o + 2*z. What is the least common multiple of o and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -12?  (a) -5.4  (b) 0.3  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 20 = -4*w, -4*x - 16 = -5*w - 0. Suppose -4*k - 57 + 89 = w. Solve -2*n = 3*c + c + k, -2*c = 2*n + 8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 24*z - 52*z - 112 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 3*t**3 + 4*t**2 - 5*t - 13. Let r = 22 + -14. Let m be l(r). Let g = -7053\/4 + m. Find the common denominator of g and 76\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = -5 - 3. Solve -5*l - 5 = 5*n, 1 = -o*n - 5*l + 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-5)\/(-10) + ((-18)\/(-4))\/(-1). What is the second smallest value in x, -0.5, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9121057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of g*v*x**3 - 2*g*v*x**2 + 868127*g*x**3 + 17*g*x**2 - 3437*g + 2*v*x**3 + 2*x wrt x?\nAnswer: 6*g*v + 5208762*g + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -115 + 115. Let n(p) be the first derivative of h*p**4 + 2 + 0*p**3 - 4\/5*p**5 + 0*p - 2*p**2. Find the second derivative of n(l) wrt l.\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 35*i - 83. Let l(f) = -f + 12. Let c be l(8). Is r(c) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 160*k + 251. List the prime factors of a(14).\nAnswer: 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 + -4 + 8 + 6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -18689, -18697, -18705, -18713, -18721, -18729?\nAnswer: -18737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the second derivative of 0 - 3\/2*b**2 + 0*b**4 + 1\/10*b**6 + 0*b**3 + 2*b + 0*b**5. Find the first derivative of f(i) wrt i.\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -1. Let w(c) = 2*c**2 - 11*c - 11. Let t(x) = 2*h(x) - w(x). Let k be t(6). Solve -3*f + 11 = -3*m + 2*f, -k*m - 4*f = -25 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/((10\/(-4))\/(-5)). Suppose -12*o + 21*o - 45 = 0. Solve -3*q = o + c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 109 + -62. Let m = t - 54.8. What is m rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 11675476*x**4 + 15*x**2 - 2469*x - 6?\nAnswer: 280211424*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sppv when four letters picked without replacement from {u: 3, p: 2, o: 5, s: 2, q: 7, v: 1}.\nAnswer: 1\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*m = -m + 527. Calculate the remainder when 277 is divided by m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 122.0245 weeks in milliseconds?\nAnswer: 73800417600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -63 + 73. Let n = 1863 + -1753. Calculate the lowest common multiple of n and k.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*d**5\/2 - 1011*d**4\/4 - 3222*d**3 - 9975*d**2\/2 + 41289*d\/2 - 48735\/4 = 0. Calculate d.\nAnswer: -9, -5, 1, 361\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of 65159 and -5.\nAnswer: -325795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 94 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (11 + -4 - 2 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/(-3))\/((2\/12)\/((-27)\/(-54))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -17 + -1f2d79?\nAnswer: -1f2d90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 294*q + 1142*q + 294*q - 47*q + 85*q - 2 - 2*q + 2 + (-3 + 1 + 0)*(q + 2*q - 2*q).\nAnswer: 1764*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 147 divide 26712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -3, 0.32, -11, 3420 in ascending order.\nAnswer: -11, -3, 0.32, 1, 3420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16799 is divided by 23?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 31440550 and 200?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 37137 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand l**3 - l**3 + 2*l**3 + 4 + 2*l**3 - 4 + (-l + l + l)*(-l**2 + 4*l**2 - l**2) - 3 + 3 - l**3 + 543937*l + 3*l**3 - 304*l**2 + 304*l**2 + 2 - 544812*l.\nAnswer: 8*l**3 - 875*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-12 + 6 - 6)*(-3*b**2 + 2*b + 4*b**2 + b)*(-b - 3*b + 3*b) to the form d*b + p + m*b**2 + z*b**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 607 minutes after 1:48 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**2 + 8*x - 109. Let d = -384 + 398. What is the remainder when l(d) is divided by (0\/2)\/3 + 51?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (20\/(-16)*-2*(-18)\/(-150))\/((-102)\/(-850))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 6*b**3 + 10*b + 4. Let c(d) = 6*d**3 + 9*d + 5. What is -4*a(q) + 3*c(q)?\nAnswer: -6*q**3 - 13*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0018079 centuries in decades?\nAnswer: 0.018079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rxpxxeexxxxxrfm. What is prob of sequence eee?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(-64)*-4*-32.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*c**4 - 2*c**4 + 2*c**4)*(20 - 1179 + 64) as t*c**4 + k*c**2 + n*c + j + s*c**3 and give t.\nAnswer: 2190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1217.\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -11*l + 160. Let f be t(14). Let a(p) = p - 3. Give a(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1265)\/693)\/5 - (-2)\/14\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the first derivative of 0*a**2 - 2\/3*a**3 - a**4 + 0*a - 2\/5*a**5 - 3. Solve i(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1080, 4319, 9718, 17277?\nAnswer: 26996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**3\/6 - 38*g**2\/3 - 25*g\/2.\nAnswer: -g*(g + 1)*(g + 75)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -14 - -9. Let y = 223\/4017 + -11\/103. Suppose 3 - 15 = -3*q. Put 0.1, y, q, a in decreasing order.\nAnswer: q, 0.1, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c**2 + 26*c - 15. What is p(-26)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the third derivative of 0*a - 35\/64*a**4 - 70*a**2 + 0 - 17\/8*a**3 - 1\/160*a**5. Factor w(f).\nAnswer: -3*(f + 1)*(f + 34)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -538\/7 - -564\/7. Which is the closest to h?  (a) -3  (b) 0  (c) 5  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*k - 2*z - 28 = 11*k, -4*k + 5*z = 14 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/((-12)\/(-9)))\/((-4)\/(-94) + 1139\/(-7990))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -7*q**3 + 5*q**2 - 5*q + 4. Let j(t) = 3*t**3 - 3*t**2 + 3*t - 2. Suppose 2*n + 5 = -z, -8*n + 5*n - 15 = 0. Calculate z*j(d) + 3*a(d).\nAnswer: -6*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 537 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -10*y - 55. Let u be 6 + -4 + (-24)\/3. Let d be a(u). Solve -c + k - 1 = d, 0 = 2*k - 10 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00166827 rounded to 4 dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) -0.1  (b) 3\/28  (c) 0.066  (d) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**2 + 7*i + 5. Let d be p(-6). Let l be 27\/(-279) + 18 + -18. What is the third biggest value in 3, d, 0.4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -47 and -0.433215.\nAnswer: -47.433215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q - 2. Let t = -26 + 15. Let r = 16 + t. Let z(b) be the third derivative of b**3\/6 + 6*b**2. What is r*z(x) + 2*j(x)?\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 18 - 80 = -2*b, b - 4*s = 31. Let q be (-147)\/9*1*-3. Let p = q + b. Is p a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, 7, 696\/751?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the first derivative of g**4\/6 + 8*g**3\/3 - 22*g + 5. Let b(u) be the first derivative of j(u). Let r be b(-8). Which is bigger: r or 8\/11?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2 + -1.7. Let x = l - 0.33. Let j = 0.0303 + x. What is j rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.2 + 0.202. Let a = d - -0.041. Let g = a - 0.06. Round g to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d + 90 = 5*r + 14, r - 90 = 5*d for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f + 477 = 5*c, 0 = 3*f - 2*f + 7*c - 148 for f.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-120)\/16*20\/(-25)*(-1808)\/678\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -o - 3*o - 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (12 - 38 - 59)*(2*t - 22*t - 11*t)*(2 + 0 - 6) in the form v + y*t and give y.\nAnswer: -10540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-293)\/(-2344) - 34\/16. Sort w, 1, 4, -6, -1 in descending order.\nAnswer: 4, 1, -1, w, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 121 and -4 + (9 - 12) + 2*53?\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y**3 - 7*y**2 - 9*y - 2. Let k(c) = -2*c + 6. Let m be 5 - -2*3\/6. Let x be k(m). What is the units digit of d(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (3 - (-1)\/1)*5. Suppose 0 = -3*l - 2*p - 2*p + 16, -4*l - 4*p + b = 0. Suppose 35 = l*c - 25. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 2, t: 1, i: 2, c: 4}. Give prob of picking 1 i, 1 c, and 1 d.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 12, w: 1}. What is prob of picking 4 t?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7430410?\nAnswer: 2, 5, 13, 61, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (32\/3)\/(-4)*(-243)\/3. Is 14445\/t + (-1)\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 7*l - 335. Calculate m(35).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -57*114\/(-361) - (-12 - (-6 + 2))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -475*p - 883. List the prime factors of h(-16).\nAnswer: 3, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the third derivative of -a**5\/15 + 7*a**4\/6 - 20*a**3\/3 - 31*a**2. Factor c(d).\nAnswer: -4*(d - 5)*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3*(-20)\/(-135))\/(4\/(-54)). Solve -2*b - 5 = -3*v, d*b - 5*v = b - 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 43528 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that -2*m**2\/3 - 353*m\/3 + 59 = 0.\nAnswer: -177, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-3)\/(-12) + (-271)\/(-12) + -2 and 93\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 15 = -5*l - 50, 5*x - 2*l = -15. Let u = 8 + x. Suppose 0*z + u*z - 21 = 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: Let u = -556 - -919. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 611935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 21985566429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1428\/147 - 2\/(-7) and 122?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4721825 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 116 divided by -998?\nAnswer: -58\/499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v + 1. Let c(p) = p - 5. Let i be c(4). Let r be (-1)\/(-1)*(i + -10). Let k = r + 12. Give l(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -31 - -30. Let x be (7 + -3)\/(-3 - h). Let n be (0 - 0)*(3 + x). Which is bigger: 2\/35 or n?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**1)**(-2\/5)\/(k**5\/(k*k**0)) assuming k is positive.\nAnswer: k**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 172697009.\nAnswer: 2473, 69833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 7, -2, -43, -134, -293, -538?\n\"Answer: -3*o**3 + 2*o**2 + 6*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (9\/(-3))\/((-126)\/273*2\/4)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 73442499 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -51650600 to the nearest 100000.\nAnswer: -51700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 2*x - 7. Let h be m(6). Suppose 5*r - 91 + 21 = 3*d, -h*d - 138 = -3*r. Let w = 11 - d. List the prime factors of w.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -38*p + 42*p - 172. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8539079551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 9*j + 5. Let s be (-7)\/3*60\/10. Let o(t) = -4*t - 2. Give s*o(d) - 6*p(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1363\/84 + 113\/7. Let w = 0.1 - -0.9. Which is the closest to w?  (a) -2\/7  (b) v  (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c**2 - 9*c - 29. Let r be f(-10). Let g = -62 + r. Is 19 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 151\/810 and 163\/9198.\nAnswer: 413910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s**2 - 343*s + 2404. Calculate the remainder when j(7) is divided by 51.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00256077787 to five dps.\nAnswer: -0.00256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4390 or 4676?\nAnswer: 4676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 86 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-r + 3 - 3)*(-4 + 3 - 1) - 2*r - 3*r + 4*r + 8967 + 8967 + 8969 - 26902 + 163*r - r + 1 - 1 to the form a*r + l and give a.\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*r**4 - 12*r**3 + 7*r**3 - 2 + 6*r**3 - 11*r**5)*(-3 + 3 + 1).\nAnswer: -11*r**5 + 3*r**4 + r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68) - (sqrt(68) - 1*sqrt(68)*2))\/sqrt(4) + 0.\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 55\/30 + 0 + -2. Let k = -0.1 + -4.9. Let w = k - -6. Which is the closest to w?  (a) -0.5  (b) j  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 468 minutes before 9:35 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 26*g - 32*g - 36 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6*f - 2*f - f)*(1 + 0 + 1 + (-318 + 138 + 107)*(-2 - 1 + 1) + 2 + 2 + 1) to the form o + z*f and give z.\nAnswer: -1377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 57*y + 2. Let g be f(0). Put -1, g, -113 in increasing order.\nAnswer: -113, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 973493 is divided by 1163.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: ((-10)\/(-12) + -1)\/(2 - (-93)\/(-48))\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 13933.9 and 2.78.\nAnswer: 13936.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (0 + -1)\/((-2)\/4). Suppose -y - 2 = -0*b + b, -k*b - 3 = y. Let o(d) = 2*d**3 + d. What is o(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 17*(20 + (-6111)\/306)*(-1 + 7). Let p(c) = 2*c**2 - 4*c + c + 3 + 7*c**2. Let d(y) = -27*y**2 + 8*y - 8. What is a*d(l) + 8*p(l)?\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 5 + -23 + -13 + 1 + 11\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 1 - 55 = 0. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lllmmllmllmpmml. What is prob of picking 4 m?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l - 19 = -2*l + 3*q, 4*l - 29 = 3*q. Let u be (-10)\/(-4)*8\/l. What are the prime factors of (23\/u)\/(2\/16)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:07 PM and 3:56 PM?\nAnswer: 169","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -13*y**3 - 3*y**2 - 3*y. List the prime factors of c(-2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 91.14846 hours to seconds.\nAnswer: 328134.456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 852002?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -9 + 1 + (-10 - -12). Let t(n) be the first derivative of -9*n - 3\/2*n**2 + 7. Determine t(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 0*k = k + 1945, 1155 = 3*v - 3*k. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*j**3 - 7*j**3 + 3*j**3)*(32*j + 34*j - 17*j) in the form x*j + k*j**2 + v*j**4 + p + t*j**3 and give v.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*k**2 - 27*k**2 + 0*k**2)*(-k + k + 2*k)*(-9 + 4 + 8).\nAnswer: -204*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, -5\/6, 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 324 and 729.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1877 or -1878?\nAnswer: -1878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1 and 386456.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/15 of a decade?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -570 less than -572?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 15 by 1276.\nAnswer: 15\/1276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -52\/5*u**2 + 118\/5*u + 168\/5 - 2\/5*u**3.\nAnswer: -2*(u - 3)*(u + 1)*(u + 28)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/i**(-9))\/(i\/i**(9\/8))*(i\/(i*i*((i\/(i*i**(7\/4)))\/i)\/i*i))**(2\/13) assuming i is positive.\nAnswer: i**(1081\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7475 + 7476. Let w(s) = 4*s**2 + 2*s - 11. Let k(v) = v**2 - 1. Determine o*w(b) - 5*k(b).\nAnswer: -b**2 + 2*b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*n - 2*n - 3*n)*(-4*n + 4*n + 23*n**3 + n) to the form u*n**3 + y*n + p + v*n**2 + g*n**4 and give g.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -71*c = 30*c + 151*c + 2520 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*(-21)\/7*1\/10.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the third derivative of 4*x**2 + 2\/3*x**3 - 1\/60*x**5 + 0 + 0*x + 1\/3*x**4. What is the units digit of a(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 + 21200?\nAnswer: 21111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the first derivative of -1\/6*q**6 + 0*q + 1\/4*q**4 + 2\/3*q**3 + 0*q**2 - 2\/5*q**5 + 4. Let w(g) = 0. Calculate g.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -38725 by 7745.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 14 - 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 11\/121 + 5056\/44. What is the greatest common factor of t and 368?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3 + -8. Let w = -31 - -15. Let s = -14 - w. Is b less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*m**2 + 2*m**2 - 2*m**2)*(m**2 + m**2 + m**2) - 8*m**4 - 110*m**2 + 5*m**2 + 50*m**2 in the form z + b*m + l*m**2 + g*m**4 + x*m**3 and give g.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i**2 + 12*i + 2. Let m be a(12). Suppose -113 = -m*w + 5. List the prime factors of w.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 minutes before 4:59 PM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4756 - -3177?\nAnswer: -15ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 289 and 18 + -6 + 48\/(-12).\nAnswer: 2312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 309 minutes before 1:34 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4474?\nAnswer: 2, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 129, 781, 2519, 5877, 11389, 19589?\nAnswer: 31011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -4*c - 8, 0*q + 5*q = c + 29. Suppose -q*g = g - 7. Let i = -31 - -34.2. Is i at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -3*z + 35. Let f be (-36)\/z - 9\/(-1). Solve -w = 4*w + f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d + 7. Let g be f(8). What is the units digit of 0 + (0 - g) - -6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 80*h**3 + 1035*h**2 + 1695*h - 110.\nAnswer: 5*(h + 2)*(h + 11)*(16*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1*2*10\/(-4). Let c = -28 - -8. Let u = c + 16. Put u, r, -0.4 in descending order.\nAnswer: r, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -82\/45 and -53\/3510.\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 68 and 1598.\nAnswer: 3196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4 + 42fef?\nAnswer: 42ff3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q**2. Let j(w) = -6*w**2 + 171*w - 32. What is j(k(s))?\nAnswer: -6*s**4 - 171*s**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 y when two letters picked without replacement from javwjvyyyttavya?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/5  (b) -2  (c) 0.0332  (d) 2\/9  (e) -4\/3  (f) 165\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-32)\/(-28))\/(32\/336)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 - p + 6)*(0 - 1 + 2) + (4 - 1 - 2)*(p - 6*p + 3*p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 0*r + r - r - r - 2*r**2 to i + s*r + h*r**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 18 and 1836.\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xjxxxxjxxx. What is prob of picking 1 x and 2 j?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 5) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -23454 (base 8) to base 12.\nAnswer: -5978","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 497*c - 498*c = -4*m + 81, -2*c + 102 = 4*m. Calculate the smallest common multiple of (108 + 2)\/(-2*(-4)\/8) and m.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10923, 21756, 32589, 43422, 54255?\nAnswer: 65088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 140152?\nAnswer: 2, 17519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - 3 - (1 + 2 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 8 = 3*w, -w + 2*o = 3*o - 3. Suppose -6*u + 34 = -w*u. Let v(k) = k**3 + 4*k**2 - k + 3. What is the remainder when u is divided by v(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve s - 4*g = -8, -35*s + 38*s = -g + 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 7*r**3 + 9*r**2 + 5*r - 12. Let o(i) = 3*i + 2*i - 3*i - 4 + 4*i**3 + 4*i**2 - 2. Let n(m) = -5*o(m) + 3*x(m). List the prime factors of n(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 40, 1384, 2\/17 in increasing order.\nAnswer: 2\/17, 40, 1384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*p - 18*p + 92*p - 6*p - 20*p - 1 - 11*p.\nAnswer: 23*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 6\/5 of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 28683816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (159 - 154) + -15 + 3 + 0\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -38 and 787580.\nAnswer: -29928040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6.2 - 6.3. Sort 2\/5, 3, o, 1 in ascending order.\nAnswer: o, 2\/5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) 7  (b) 2  (c) 4\/9  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the first derivative of -49*y**6\/3 - 154*y**5\/5 + 17*y**4\/2 + 146*y**3\/3 + 32*y**2 + 8*y - 10. Let g(i) = 0. Calculate i.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -94111 divided by 5.\nAnswer: -94111\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 169715?\nAnswer: 5, 7, 13, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*l**4 - 3*l**4 - 2*l**4 + (10*l - 9*l - 2*l)*(-114*l**2 - 104*l**2 - 20*l**2)*(4 - 4 - 2*l) as z*l**3 + q + s*l + p*l**2 + j*l**4 and give j.\nAnswer: -477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that -66*q**3 - 200*q**2 - 152*q - 32 = 0.\nAnswer: -2, -2\/3, -4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yklk when four letters picked without replacement from {y: 3, b: 4, g: 4, l: 1, c: 6, k: 2}?\nAnswer: 1\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:46 PM and 1:25 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -192 = 13*q - 16*q. What is the lowest common multiple of q and 4?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 525*q = -609*q + 468*q + 83544 - 27600 for q.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 6, d: 13}. Give prob of sequence jdd.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -195 minus 2.227299?\nAnswer: -197.227299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00001543 rounded to seven dps?\nAnswer: -0.0000154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*a = 350703 - 350747 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5227 - -151585\/29. Put 9, y, 1\/2 in ascending order.\nAnswer: y, 1\/2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 1, z: 2, y: 1, q: 1, s: 1, o: 1}. What is prob of picking 1 s, 1 q, and 2 z?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8368, 16699, 25032, 33367, 41704, 50043?\nAnswer: 58384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add -2221 and 489.\nAnswer: -1732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -350*k**2 + 1450*k - 193. Determine y(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 41 - 21. Suppose 4*q + 166 = x, -5*x - 3*q + 25 = -828. What is the highest common factor of x and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 323 - -4?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = -f + 6*f + 2*q, -2*f - 14 = 4*q. Put f, 0.18, 1, 2\/17 in increasing order.\nAnswer: f, 2\/17, 0.18, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -62516 divided by -4.\nAnswer: 15629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01154 rounded to 4 dps?\nAnswer: -0.0115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/4*9121\/3909.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -39729*o**4 + 181*o**3 - 7352*o**2 + 87*o - 15.\nAnswer: -953496*o + 1086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1 + (-1)\/(-3)*3. Let v(x) = 5*x**3 + x. Calculate the remainder when v(y) is divided by 1\/(-3) + 8418\/549.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6\/(-14) + (-12869072)\/(-112). Suppose -2845 = 4*k + 4*j - 94773, b = 5*k + j. What is k rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3250786ml in litres?\nAnswer: 0.0003250786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-5)\/(-3) + (-2)\/(-6). Let f be 1 + 5\/((-5)\/s). Let w = -1997\/40 - -397\/8. Is w smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -19, 6, 5, -4, -2, 61 in descending order.\nAnswer: 61, 6, 5, -2, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -714501, -714526, -714551, -714576?\nAnswer: -714601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (4\/26 + 1075\/(-650))\/(1 - -5). Let j = -0.8 + 0.1. Let v = j - 0.3. Which is the nearest to v?  (a) u  (b) -0.1  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 587163449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 - -1022210?\nAnswer: 1022122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 47280571 to the power of 1\/4, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 40 and 2.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1344*w**4 + 6737 wrt w?\nAnswer: 5376*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -15?  (a) -0.1  (b) -14  (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 24232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 326382?\nAnswer: 2, 3, 7, 19, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6 and 101499600.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 141\/6 - (-3)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (0\/2 + -3)*50\/3. Let k = -26 - l. Calculate the lowest common multiple of 54 and k.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -207, 2\/3, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -13  (b) -5  (c) -1731  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2128 and 931.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(1152)*1*-2)\/(3*sqrt(216) + (-4*sqrt(60) + sqrt(60))\/sqrt(10)).\nAnswer: -16*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3)\/1 + 3 - (5 + -7). Suppose -6*t = -z*t - 144. Calculate the remainder when 69 is divided by t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 320 (base 4) to base 6.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -4*l**3 + 1724*l**2 - 16839*l - 415. What is w(421)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4*(-54)\/96)\/((-9)\/(-24)). Let q(w) = 2*w**2 - w - 1. Let j be q(-1). Suppose -k*c = -j*c - 36. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 325*r + 16*r - 831017 = 0. Is 2436 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, q: 1, z: 1, k: 6}. Give prob of picking 1 z and 2 k.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.6 and 1695290.\nAnswer: -1017174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 87.4601s?\nAnswer: 87460100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) -0.1  (c) -1891  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 478352837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 8  (b) 473  (c) -1  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -0.5  (b) -0.7  (c) -6\/7  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 998924.7 litres in millilitres?\nAnswer: 998924700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*x - 13*a + 18*a - 44, 0 = 2*x - 3*a + 32. Let s = 11 + -1. Let r = s + -9.9. What is the third smallest value in 0.3, x, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 264 and 176.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -314.9 times -23.1\nAnswer: 7274.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 750 divided by -250\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 2*h = -118, -5*h + 4*h = m - 31. What is the least common multiple of m and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 29177?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 29852372, 59704734, 89557096, 119409458?\nAnswer: 149261820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 54 divide 668783133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(27) - sqrt(189)\/sqrt(7))*-6 + sqrt(108) + sqrt(108) + sqrt(108)*-2)\/((sqrt(63) - (sqrt(63) + sqrt(567))*-2)\/(-2*sqrt(1008))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 0.0463229 kilometers?\nAnswer: 46322900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 22*o**3 + 3*o**2 - 2*o + 1. Let q = -2 + 4. Let x be z(q). Let d = -1297\/7 + x. Which is the nearest to d?  (a) 2\/7  (b) 4  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*d**4 + 1 - 37*d + 5*d**2 - 2*d**3 + 12*d + 22*d in the form h*d**3 + v*d + f*d**2 + i + a*d**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 96 is divided by 31.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -6415 divided by 6\nAnswer: -6415\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2 or -11\/8?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.1 - 1.2. Let d = -0.4 - t. Which is the third biggest value?  (a) 1  (b) 5  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-76)\/(-140) + (-4)\/10. Let v = -4 + -2. Let b = 9 + v. What is the third smallest value in b, -1\/3, m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.4 and 2792441.509.\nAnswer: 2792441.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-8)\/j*j**(1\/3)*j**0*j\/j**(-1\/11))**(3\/25))**(-35) assuming j is positive.\nAnswer: j**(350\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + (11 - -2) + 3 - (-7 - (0 - -4)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -32112631.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 3  (b) -3\/2  (c) -2  (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -1486*v - 845. Let n(o) = -2230*o - 1267. Let l(w) = -5*n(w) + 8*p(w). Differentiate l(f) with respect to f.\nAnswer: -738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + (-33)\/(-15) + (-4)\/1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -3*v, -2*d + 70 + 135 = 3*v. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q**3 + 8*q**2 + 7*q + 16. Let t be y(9). Let p be (-16 - -2266)\/(t\/(-84)). What is p rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 824.6838 rounded to 0 decimal places?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o**(-20)*o*o**(4\/7))**5)**9)**(1\/10) assuming o is positive.\nAnswer: o**(-1161\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 2*x**3 - 16*x**2 + 29*x - 105. What is c(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 24739 + -15860. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1 + -5 - -1)*(-17)\/3. Differentiate z*s + 6 - 17*s - 18*s**2 wrt s.\nAnswer: -36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (w**2 - 7*w**2 + 3*w**2)*(-1 + 2*w + 1) + (0 + 0 - w)*(2*w**2 - 12*w**2 + 33*w**2) as t + z*w**2 + i*w**3 + p*w and give i.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.2, 3\/8, -2, -5\/22?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.3 + 375?\nAnswer: 373.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5891710.\nAnswer: 2, 5, 11, 19, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-141620)\/(-776)*(-2)\/20)\/(((-22)\/8)\/11).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/(-6)*(-5 + 2). Suppose 12*r - 6 + 30 = 0. Let q(y) = -9*y - 13. Let i be q(r). Put -17, i, c in increasing order.\nAnswer: -17, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 3*a**2 - a - 2. Let y be f(2). Solve -5*o - y = 4*w, -o - 5 + 3 = w for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -163 = -18*t - 19. What is the hundreds digit of (-3247)\/(-8) - (-1)\/t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**3 + 10*t**2 + 7. Let l be d(-10). Let o be 25\/(-10) + 2\/(-4). Let y = o + l. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3128426646 to the nearest integer?\nAnswer: 55932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3\/5 - -1\/35. Let m be (-688)\/(-88) + 2*-4. What is the second smallest value in m, g, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 3*h**2 - 5*h + 9. Let g(k) = 13*k**2 - 19*k + 37. Let x(l) = -2*g(l) + 9*n(l). Let z be x(6). Let u be (-62)\/15 + -25 + 29. Is z <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 744 + -315. Suppose 3*g - v = -57. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -5.4 from 1189.\nAnswer: 1194.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -379830.3 - -379830.1019871. Let f = -0.198 - q. Round f to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -u - 2. Let c be k(-2). Let p(w) be the first derivative of -2\/5*w**5 + 0*w**2 - 2*w + 0*w**4 + 2 + c*w**3. Find the first derivative of p(d) wrt d.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z**2 - 4*z + 2. Suppose 8 = 2*h + 18. Give f(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-1\/4)\/((t\/(t**(1\/7)*t))\/t))\/(t*t**(2\/23)\/t*t*t**7\/t*t)*(t**(-2\/3))**(-14\/3)\/(t**(-7\/5)\/t**(2\/5)) assuming t is positive.\nAnswer: t**(-66161\/28980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 364, 13 in descending order.\nAnswer: 364, 13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -21*g - 58*g - 31*g in the form k*g + i and give k.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -40 + 3?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*w - 6*w + 7 - 8 + 9*w + 2.\nAnswer: 11*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 9304, 9187, 9070, 8953?\n\"Answer: -117*p + 9421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 4) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 217*n - 3023. What is a(14)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5, 0, -13, -34, -63, -100, -145?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 9533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 71618 = 71617?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3064, -1.06, -0.3?\nAnswer: -3064","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**4\/7 - 6103*s**3\/7 + 48751*s**2\/7 + 54855*s\/7.\nAnswer: s*(s - 6095)*(s - 9)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5675 is divided by 196?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 44 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 + 3.2. Let g = 0.1 + f. Sort g, 4, 1\/2.\nAnswer: g, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6645105972?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1352 - 1317. Let i be (0 - -2 - 2)*(c - 34). Factor 0*o**3 + 1\/5*o - 2\/5*o**4 + i - 1\/5*o**5 + 2\/5*o**2.\nAnswer: -o*(o - 1)*(o + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9765 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 3*l - 4, 3*l = 4*o - 10. Let w = 0 - -5. Suppose -45 = -5*h - u - 67, 0 = 5*h + 5*u + 30. Sort w, -2, h, o in decreasing order.\nAnswer: w, o, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-seven fifths of a centimeter in micrometers?\nAnswer: 74000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1758*p = 1849*p + 2275 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 14 + -26. Let n(v) = -2*v - 14. Calculate the lowest common multiple of n(o) and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 111093424 to the nearest integer?\nAnswer: 10540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 15746, 11423, 7100, 2777?\n\"Answer: -4323*f + 20069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-322)\/138*(-360)\/3570\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*g**3 + 8*g**3 - 3*g**3)*(-6*g**2 + 12*g**2 + 4*g**2).\nAnswer: 80*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 436 (base 9) to base 12\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5 + 9. Let g be 2\/7 + 1122\/42. Suppose 2*a = -3*m + g, 4*a + 3*m - 45 = -0*a. Solve -3*i - 5 = -a*y + j*y, 2*i = -y + 1 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(1\/4)\/x**(2\/3))**(-1\/20)*((x**(-2)\/x*x)**(-24))**(-10\/9) assuming x is positive.\nAnswer: x**(-853\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -11\/313572 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n - 78. What is t(21)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2\/4)\/((-20)\/(-24)). Let g = 5.8 - 0.8. Let m = 0.9 - 1. What is the closest to m in g, n, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 - 6. Let f = 2\/159 - -473\/318. What is the smallest value in 0.2, f, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 28, 4, -2\/11 in increasing order.\nAnswer: -2\/11, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 10279 + -6960. What are the prime factors of d?\nAnswer: 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 16444872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 6*l = 12. Let a = l + 4. Let v = a + 1. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w**3 + 10*w**2 - 96*w - 869. What is d(-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**44\/c)**(-12) assuming c is positive.\nAnswer: c**(-516)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (4\/4*-3)\/2\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 2*k**4 - 4*k**3\/3 - 160*k**2\/9 + 12*k - 2 = 0.\nAnswer: -3, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -42*k. Let x(z) = -168*z**2 + 512*z**2 - 174*z**2 - 172*z**2. Give x(q(p)).\nAnswer: -3528*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16571*y = -15648*y + 7384 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.4794 + -1.4794. Which is the nearest to -1?  (a) s  (b) -4  (c) -5  (d) 1\/149\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*f = -5*f + 6195. Let c = 1335 + f. Suppose -10*t + c = -0*t. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 120*t**2 - 52*t + 52. Let m(s) = 7*s**2 - 3*s + 3. Give -104*m(h) + 6*x(h).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -26*z - 5*z**2 - 2*z**3 + 23*z + z**2 to q*z**2 + s + r*z**3 + u*z and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p + 4, -2*d - 5*p + 2 = 14. Let q = 235 + -233. Suppose b + 7 = q, -3*b + 10 = 5*k. Solve 2*v - k = -5*c, 2 - d = -2*c for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l + 5. Suppose -2*q + 5 = -5. Suppose 5*z - 15 = z - s, 0 = 5*s + q. Give h(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9798?\nAnswer: 2, 3, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/26*(-6)\/(-18)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 755.03 + -755. Sort -0.4, -0.1, w in increasing order.\nAnswer: -0.4, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uiuiiiuuiueue. Give prob of picking 2 u.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -7, 3\/5, -7492, -0.1, -1\/4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 41523 by 3.\nAnswer: 13841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -6 divided by 21059684\nAnswer: -3\/10529842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 785778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.5 and -91.\nAnswer: -45.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -142*w = -145*w - 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -209*b - 29*b**3 - 2 + 60*b**3 - 55*b**3.\nAnswer: -24*b**3 - 209*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*(p*p*p**(17\/3))\/p)**(-33))**(-7\/8) assuming p is positive.\nAnswer: p**(1771\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 12609744 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1656 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q + 2*t - 20 = 0, q + 25 = -4*q - 3*t for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(16)\/(sqrt(8)\/sqrt(2)))\/(sqrt(108)\/sqrt(6)).\nAnswer: -4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 1, -18895735 in decreasing order.\nAnswer: 1, -4, -18895735","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 68473204.\nAnswer: 2, 17118301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -33, -37, -41, -45?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 71*l + 627. Does 15 divide t(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k**2\/7 + 536*k\/7 - 1590\/7 = 0. What is k?\nAnswer: 3, 265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -392.4 greater than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*i - 37781 = -38262 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the third derivative of -a**6\/180 + a**5\/10 - 5*a**4\/12 + 4*a**3\/3 - 10*a**2. Let k(w) be the first derivative of g(w). Factor k(p).\nAnswer: -2*(p - 5)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l + 5*w - 315, -3*l - 122 = -l - 3*w. Let s = l + 73. Suppose 3*n + 39 - 138 = 0. What is the highest common divisor of s and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -667 - -1011. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -57 - 8*b**3 + b**2 + 115 + 7*b**3 - 58.\nAnswer: -b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*v**2 + v**2 - 123*v**3 + 2 - 3*v + 126*v**3 + (-v**2 + 2*v**2 + v**2)*(0*v + 2*v - v) as j*v + k*v**2 + y*v**3 + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52 + 1 = -3*v. Does 5 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 313 is divided by (145\/29)\/(1\/7).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*r - 3*r + 0*r + 2 - 2*r - 2 + r + 2 - 2 + 3*r - 2*r - 2*r + (-2 - 3 + 4)*(-r + 0*r + 2*r) to m*r + g and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(156) + (sqrt(156) - 1*sqrt(156)))*-3)\/(sqrt(1728) - sqrt(1728)*-1).\nAnswer: -sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 50 + -50. Suppose -90*c + 85*c + 275 = s. Calculate the remainder when c is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -1785*m + 91080. Give a(51).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*y**3 + 12393*y**2 - 1582860*y.\nAnswer: 3*y*(y - 124)*(y + 4255)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i**3 - 7*i**2 - 10*i - 7. Suppose -18*c - 30*c = c - 196. Calculate the remainder when u(-7) is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 236206986.\nAnswer: 2, 3, 41, 960191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*w**3 + 150228*w**2 - 1880854551*w + 3761108214.\nAnswer: -3*(w - 25037)**2*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(26)*-1*-5)\/(sqrt(6)\/sqrt(3)*6).\nAnswer: 5*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 7, 3, -255, 12878?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110111110011100011 - 10010?\nAnswer: -110111110011110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-35118)\/39020)\/((-2)\/40).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 8*z + 4*z + 78 = 0, 15 = 5*z. Let l = a + 0. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 151 + -150.9. Which is the nearest to l?  (a) 3\/4  (b) -2\/9  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 76597 and 0.19.\nAnswer: 76597.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -7135 and 0.0393.\nAnswer: -280.4055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-78*q**2 + 78*q**2 + 9*q**5)*((5 - 5 + 1)*(-1 + 1 - 1) - 1 + 2 - 3 + (-4 + 0 + 2)*(5 - 2 - 1)).\nAnswer: -63*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-66)*12\/(-20))\/((-2)\/(-30)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 974547 and 3493?\nAnswer: 974547","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -9*s - 1. Let i = 3605 - 3604. Give u(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-20)\/4*(24\/195)\/(-4).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/9?  (a) 0.3  (b) -1\/6  (c) -252  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 13820000 rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -128436 rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 649103695 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c\/c**0*c)\/(c**(3\/4)*c))\/(c**2\/((c**(-3\/2)*c)\/c)) assuming c is positive.\nAnswer: c**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 27 + -27.33. Let u = d + 0.3299958. What is u rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 24 and (-196)\/(-11) + ((-352)\/121)\/(-16)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from hhhhhhhhvvhhhv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 442393*c**2*n + 13033*c - 7*n + 2 wrt c?\nAnswer: 884786*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 926071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -33116, -32169, -31234, -30317, -29424?\nAnswer: -28561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - ((-1 - (2 - 10) - -16) + 6).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -42*i**3 + 13*i**2 - 76*i - 289. Calculate l(-4).\nAnswer: 2911","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and -0.1132739.\nAnswer: -0.2265478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12474 = -0*g - 462*g for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -34, -341, -1178, -2809, -5498, -9509, -15106, -22553?\nAnswer: -32114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that 12*j**3 - 4*j**2 - 24848*j - 16560 = 0.\nAnswer: -45, -2\/3, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 8.6 - 25648596.8\nAnswer: -25648588.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -p**3 - 30*p**2 - 3*p + 1534. Give y(-28).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 18cc - -806?\nAnswer: 2405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1348008636 take away 0.017122?\nAnswer: -1348008636.017122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 66808.32 years in months?\nAnswer: 801699.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 25*k**2 + 5*k. Let j(v) = v. Let b(p) = -p. Let i(o) = 13*b(o) + 6*j(o). What is h(i(z))?\nAnswer: 1225*z**2 - 35*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 348417 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -56 + 210500?\nAnswer: 210411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 63*n - 2*n**3 - 62*n + 10 - 7 in the form t + y*n + j*n**3 + r*n**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 24166368739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -6371*v**2 - 243 - 1427 - 1409 + 900 + 6372*v**2 in the form l*v**2 + q*v + j and give j.\nAnswer: -2179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-196)\/273*(-2297)\/32158.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1921387 + 1921387 + 1357*l to r*l + a and give r.\nAnswer: 1357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 61 - 5?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**3 - 692080*x**2 - 692079*x.\nAnswer: -x*(x + 1)*(x + 692079)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**2\/9 - 2925980*x\/9 - 1070169870050\/9.\nAnswer: -2*(x + 731495)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 20220 and 29.\nAnswer: 586380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 36 + -44. Let v be 2\/(-4) - (300\/a)\/5. Solve v + 9 = -4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*k - 2*k - 5*k + (0 + 0 + 1)*(-147*k + 2286 - 2286))*(2*k - 3 - 2 + 3) to the form g + n*k**2 + y*k and give n.\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -49*l**3 - l**2 + 1. Let u be j(-1). Let x = -23 + u. Let q be (-222)\/(-8) - 0 - 236\/(-944). Does q = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (-3*(-2*sqrt(96) - sqrt(96)))\/((sqrt(12) + sqrt(768) + sqrt(768)*5 + sqrt(768) - sqrt(12))\/sqrt(6)))**2.\nAnswer: -18*sqrt(3)\/7 + 1027\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -36506248, -12 in decreasing order.\nAnswer: -3, -12, -36506248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 6875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 127 - 126.996. Round a to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + y = -45, v + 0*v - 2*y = 10. Suppose -3*k = 9, l - 13 = -3*l - k. What is the greatest common divisor of l and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 335 is divided by 82?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5 and 20.3577.\nAnswer: -101.7885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1299 by -202.\nAnswer: 1299\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 152832275?\nAnswer: 5, 307, 19913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -11*p - 3*p**2 + 12 + 5*p + 4*p**2. Calculate the remainder when x(8) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at least as big as -3\/35174870?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -5815*j - 5785. Calculate c(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4, 0, 0.4, -3, -10, -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 168194867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 35\/59 and 89\/4.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7 - 16 - 10)*(670*c + 2158*c + 36*c) to the form u*c + s and give u.\nAnswer: -54416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the second derivative of 14*a**2 + 42*a + 0 + 1\/12*a**4 + 11\/6*a**3. Let p be o(-8). What is the greatest common factor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7 and 606851?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (8\/(-1))\/4 - (5 - 1). Let f be ((-36)\/24)\/(i\/472000). What is f rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 245 and 196.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -8 - 130\/(-16) - 3\/(-360). Which is the nearest to 2\/9?  (a) x  (b) 1\/7  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:13 PM and 9:34 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, e: 1, h: 12, t: 1}. What is prob of sequence be?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-2\/9)\/(a**(2\/17)*a) assuming a is positive.\nAnswer: a**(-205\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/10 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 31339 and 56980.\nAnswer: 626780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -33  (b) -0.2  (c) 9  (d) -2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00090513397 to 6 dps.\nAnswer: 0.000905","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r**2 + 30*r - 144. Let b be a(24). Let x(l) be the third derivative of 0 + 0*l**4 + 5*l**2 + b*l + l**3 - 1\/60*l**5. Differentiate x(y) wrt y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2322)\/(-90) + (-12)\/15 + 1. Solve 0 = 49*y - a*y + 23 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**3 - 9*y**2 + 8*y - 1. Let j be p(10). Suppose 3*b + 3*u - 41 = 2*b, -3*b + 5*u = -j. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 20 + -1. Suppose 0 = 5*h - f - 6. Suppose 721 = h*p - 4*r, -5*p - r + 431 = -295. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 minutes before 6:57 AM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3099038?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1191 - -1196.33. Let x = 0.33 - z. Let m = 0 + 0.1. Which is the nearest to m?  (a) -2  (b) -0.1  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 19594 - 19511. Let n = 138 - 57. Which is greater: c or n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -127, -229, -305, -343, -331, -257, -109, 125?\nAnswer: 457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (6\/5)\/(1\/(-5)). Let v(h) = 7*h + 3. Let k(y) = -20*y - 9. Let o(c) = u*k(c) - 17*v(c). Let j be o(-3). Sort 5, j, -5 in ascending order.\nAnswer: -5, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3222778 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(34)*-6)\/sqrt(2))**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2c38 (base 15) in base 16?\nAnswer: -251f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**6\/b**1)\/(b*b*b\/((b\/(b**(-1\/2)\/b))\/b*b)*b*b**(1\/5)) assuming b is positive.\nAnswer: b**(33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 60674.\nAnswer: 2, 23, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*g + 4*g + 2*g)*(-2*g + 1 - 1)*(3 + 0 + 0) to t + s*g**2 + i*g and give s.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 229 or 2765\/12?\nAnswer: 229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*f - 4*f - 4*f + 10*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from llqllqqqqlqq?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10370 by 305.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (27391\/1677)\/(1*-1)*6\/(-91)?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11 - -40) + -9 + -9.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (0 + -5)*38\/(-57)*12. Suppose 44*y - l*y = 676. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -2*x**2 + 78*x + 135. Calculate k(41).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 11*m**2 - 47*m + 93. Give l(2).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Calculate (11 - 1 - -3) + (-21 - -4 - 10).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*t**2 - 4 - 1\/2*t**3 - 17\/2*t.\nAnswer: -(t + 1)**2*(t + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 10*d**2*f**2*l - d**2*f**2 - 16*f**2*l + 2*f**2 - 3*f wrt l.\nAnswer: 10*d**2*f**2 - 16*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2434.9 and -1.1.\nAnswer: 2678.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -3086*k + 1530*k + 1535*k - k**2 - 18. Calculate f(-21).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = 0, 0 = k - 3*k + 2*j - 6. What is the second smallest value in -157, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the second derivative of h**4\/12 - h**3\/2 - 2*h**2 - h. Give d(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 0 = 20. Suppose v*f - 2*f = 10. Find the third derivative of k**2 - 3*k**5 + 2*k**f + 3*k**2 wrt k.\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -84 by 131100.\nAnswer: -7\/10925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 4*l**2 + 8*l + 1. Let y = 1823 - 1282. Suppose 14*n = y + 173. What is the remainder when u(-6) is divided by n?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/25  (b) 11  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 24712182 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3971.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 + -6 - (-7 - -7)) + 49 + (0 - 58).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 521 + 143. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 + -100321322013?\nAnswer: -100321322013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10514?\nAnswer: 2, 7, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eiiiriieereiir. Give prob of picking 2 i and 1 e.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q**2 + 72*q + 384 = 0 for q.\nAnswer: -16, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s, 1 q, and 1 f when three letters picked without replacement from qqffqqqqqqsqfqffq.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*(-1)\/(-70)*(-40)\/4.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8 + -29. Let y = 29 + a. Solve y = -t - t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 9.04655833727 and 0.123?\nAnswer: 8.92355833727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1088113?\nAnswer: 13, 83701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*(12 - 226\/19).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yyt when three letters picked without replacement from {k: 3, s: 5, t: 3, y: 8, d: 1}?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9992\/8517 + 6\/167. Let k = m + -1\/34. Let s = 28416 + -2273313\/80. Calculate the common denominator of k and s.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s*s\/(s\/(s\/(s*s**(-1))))*s*s\/s**(-1\/5)*(s\/(s*s**(-1\/2)))\/((s**(2\/7)*s)\/s)*((s*s**(-1\/2)*s)**(-2\/73))**5 assuming s is positive.\nAnswer: s**(21507\/5110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes after 2:06 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q**2\/3 - 474706588*q\/3 - 28168293086325218\/3 = 0 for q.\nAnswer: -118676647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -35*f*q - 86*f + 2*q - 114771 with respect to f.\nAnswer: -35*q - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 3*x**2 + 336*x + 7175. What is h(-83)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*q, -5*q = 2*w + 67 + 157. Let s = 1682\/15 + w. Which is the closest to -1\/8?  (a) 2\/9  (b) 0.2  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 3*t = 0, -2*q + 2*t = 520. Let z = -257 - q. Solve 2*r = -z*r - 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 15\/4 of a hour?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c**(-3))**(-18))**(-7\/3))**(-2\/111) assuming c is positive.\nAnswer: c**(84\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*d**3 + 6*d - 5*d**3 + 5*d**3 wrt d.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q**(-6\/5)\/q*q))**(-2)*q**(-12)*q*q**(-2\/37)\/q*q*q*q*q assuming q is positive.\nAnswer: q**(-2304\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -16148\/3 - -5383. What is the second biggest value in 1.2, j, -4, 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 14*r**3 - 6*r**2 - 39*r. Let l(d) = -13*d**3 + 5*d**2 + 38*d. Let a(z) = -5*g(z) - 6*l(z). What is the second derivative of a(t) wrt t?\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 52*v + 115. Is 11 a factor of x(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 67 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 804368729.\nAnswer: 9041, 88969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 119101\/14 - 8499. Find the common denominator of s and 43\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3\/1 - (2 + -2). What is the third derivative of r**2 + 9*r**2 + 4*r**3 - i*r**2 + 6*r**3 wrt r?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1150703909\/920 - -1250765. What is the common denominator of -157\/690 and b?\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.059  (b) 5  (c) -0.15  (d) 3\/4  (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-147 + 15\/3)*(90\/36)\/(45\/(-3))\nAnswer: 71\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.17 - -0.03. Suppose -5*b = 5*w, 0*w = -b - 3*w - 4. Which is smaller: b or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**15*f**(-10) assuming f is positive.\nAnswer: f**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -3*z. Suppose 4*n + 3*o - 12 = 0, n + 7 = 2*o - 1. Let v(k) = n*k + 2*k**2 - 3*k**2 + 0*k. Give v(d(s)).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 310\/4 + (-6)\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-72)\/(-30) + -2)\/((-13)\/325).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2.6  (b) 0.5  (c) -2  (d) 1  (e) -0.2  (f) -4  (g) 20\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -8.9 + -0.1. Let j = 234.1 - 234. Is c < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5121880 by -4.\nAnswer: 1280470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7 and 2\/(-4) - ((-210)\/12 + 3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 112*d - 850. Suppose -2*g = g - 36. Calculate the remainder when h(8) is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -15*a - 26. Let g be (2*(-8)\/4)\/(2\/(-45)). Let v = -105 + g. Is w(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -34.563519 and -0.1.\nAnswer: 3.4563519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -327*s + 411*s + 1176 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1588967 a multiple of 771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0 - (3 - 148\/16). Let f = v - 6. Is 1\/13 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 176 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36363 = -31*i + 17515. Does 47 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -2*o - 0. Suppose o = -3*h - 2. Let a be 7\/(-3*1\/h). Solve -2*w - 4*x = 12, a*w - 15 = 2*w + 5*x for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 334454784 by -96.\nAnswer: -3483904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 707 minutes after 1:45 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5595 and 6714?\nAnswer: 33570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 75.0082 - 1.\nAnswer: 74.0082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 15907.94 - 16054. Let s = 149 + w. Let v = s - -0.06. Which is the biggest value?  (a) 5  (b) -5  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*a - 15, -2*r = 2*r - a + 257. Let x = 73 + r. Suppose 0*l - 4*l - f + 53 = 0, l + 2*f - x = 0. Is l not equal to 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 358 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = n + 4*i + 8, 36 = 2*n - 3*i. Calculate the remainder when n is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*u + 5889 + 24669 = 0. What are the prime factors of u?\nAnswer: 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.1 + 0.4. Let v = -12 + 11. What is the second smallest value in d, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 114798 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 494*t**2 + 386*t**2 - 228*t**2 - 2*t + 280*t**2 - 186*t**2 + 22 wrt t?\nAnswer: 1492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5808935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*v + 512 = 9*v - 3*h, 0 = 4*v - 2*h - 2078. Let j = -203 + v. Calculate the remainder when j is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h**2. Let g(a) = -142*a. Determine g(i(o)).\nAnswer: 142*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 (base 15) in base 11?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-32)\/10 + 2)\/((-27)\/(-90))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m**3 - 9*m**2 + m - 5. Let a be k(9). Find the second derivative of 4*c**3 - 4*c**3 + 2*c**a - 5*c + 3*c wrt c.\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*p = 1 - 34 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r**2 - r - 1. Let p(v) be the first derivative of -4*v**3\/3 + 5*v**2\/2 + 4*v - 66. Calculate -4*a(z) - p(z).\nAnswer: 8*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -9\/7696 and -8\/11089.\nAnswer: 6564688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n, 1 p, and 1 i when three letters picked without replacement from pipnnl.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 602, 605, 610, 617, 626, 637, 650?\nAnswer: 665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/12 - 30\/(-126).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*l = 7*l - 14*l - 11*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:20 PM and 2:22 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 22 + 737756?\nAnswer: 740000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1155600552 and 3.04?\nAnswer: 1155600548.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 55*d*m**6 + 134*d*m**4 + 11*d*m**3 - 57*d*m**2 - 14*d + 12*m**2 - 6 wrt m.\nAnswer: 6600*d*m**3 + 3216*d*m + 66*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2981 + -2910. Let f = -34753.84804014 + 34682.84804. Let d = y + f. What is d rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 70491.87 meters to millimeters.\nAnswer: 70491870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*u + 2*s + 9, -2*s - 3*s = -5*u - 40 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2162?\nAnswer: 2, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 88312.955 rounded to the nearest 10?\nAnswer: 88310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11 - 10. Let b = 3 - r. Let y = -12 - -21. Solve -g + y = -5*i - 7, -b*g + 4 = -3*i for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 162*i - 159*i + 5*k - 184, 0 = 5*i + 5*k - 310. What is the greatest common divisor of 413 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1 and -0.546.\nAnswer: -0.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 46 - 49. Let a be (l - -1)\/(30\/(-75)). Solve -2*n + 0*d = a*d - 15, -d = 2*n + 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4 + -483?\nAnswer: -487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 448932 is divided by 40811.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 14252.4*-11\nAnswer: -156776.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1562081, 1562104, 1562125, 1562144, 1562161, 1562176, 1562189?\n\"Answer: -q**2 + 26*q + 1562056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -159*a - 22*a + 1601842 + 124717 = 0. What is the remainder when a is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 64, 35, -402 in increasing order.\nAnswer: -402, 35, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, -2\/7, 0.53, 49 in descending order.\nAnswer: 49, 0.53, -2\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the first derivative of -d**4 - 4*d - 6 + 4\/3*d**3 + 2*d**2. Solve y(p) = 0 for p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 352503\/20 - 17620. Let x = 14 + -40. Calculate the common denominator of (2\/8)\/(0 - x\/(-105)) and h.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 17726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -43 - -6134?\nAnswer: 6061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 407518 divided by -5507\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1030 in 2\/5, 5, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dpdgpdkmddkddgd. What is prob of sequence mgg?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -49523*g + 60166*g + 203161*g + 97351*g.\nAnswer: 311155*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 3, v: 7}. Give prob of sequence vvnn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1 + 1 + (-36)\/(-3). Let d be 522\/33 - t\/(-77). Let m = -7 + 11. Calculate the highest common factor of m and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -34f + -4a9?\nAnswer: -7f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -12 + 15. Suppose 0*w + 5 = 3*w + 2*n, 9 = w - r*n. Let g = 5.9 - 6. Which is the nearest to g?  (a) 0.2  (b) 1\/6  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1238 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -623*a**3 - 30*a**2 - 72*a + 57. What are the prime factors of c(-4)?\nAnswer: 79, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 303\/5 - 61. Which is the nearest to 0?  (a) 0.3  (b) -3\/4  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/t**0)**35*(t**(-1))**42 assuming t is positive.\nAnswer: t**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 22847 = -4*v + 559537, 145606 = f - v. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15572 a multiple of 229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-174)\/(-15) - 2\/(-5). Suppose 5*c - y = c. What is the third smallest value in c, 0.1, 4\/13?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a - 691 + 291. What is the lowest common multiple of 772 and a?\nAnswer: 19300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 229428 and 229428.\nAnswer: 229428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:45 AM and 11:18 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 n when two letters picked without replacement from {n: 1, s: 1, r: 10, l: 3, t: 4}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 324 or -81?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(76) + 1 - sqrt(76)) + 0 + 1)**2.\nAnswer: 8*sqrt(19) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (4\/12 + 1)*6 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 612 minutes before 4:27 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l - 504 = 486. Calculate the highest common factor of 110 and l.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the second derivative of 2*n - 1\/24*n**7 + 7\/40*n**5 + 1\/12*n**4 - 7\/24*n**3 - 1\/60*n**6 + 0 - 1\/4*n**2. What is o in p(o) = 0?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, z: 1, f: 3, q: 3, c: 3}. What is prob of picking 1 c and 1 e?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 49 or -232?\nAnswer: -232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 766126 - 766124. Factor 4\/7 + 2\/7*j**4 + 18\/7*j**2 - 10\/7*j**3 - o*j.\nAnswer: 2*(j - 2)*(j - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -12.66 + 12.46. Let x = 3 + -6. Which is the fourth smallest value?  (a) -1\/10  (b) x  (c) q  (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -503 < 417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 22313042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes before 10:19 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -70*h**2 + 3*h - 1. Let r(v) = -141*v**2 + 5*v - 1. Give -5*k(b) + 3*r(b).\nAnswer: -73*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**3 - 5*g**2 + 17*g - 44. Let r be f(4). Let s = r + 21. What is the remainder when 48 is divided by s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 33154 and 12056?\nAnswer: 132616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3864305 and 1177?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 1 - 1)*(4 - 4 + 1)*(-2*i + 2*i - i**4).\nAnswer: 5*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 + 4*o**4 - 2*o**2 - 107*o**3 + 6 + 109*o**3 + (2*o + 3*o - 7*o)*(2*o**3 - 5*o**3 + o**3) to the form t + y*o + j*o**3 + c*o**2 + p*o**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17639 is divided by 205.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -190*i**3 - 3655*i**2 - 16815*i - 3780 = 0. What is i?\nAnswer: -12, -7, -9\/38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-174)\/(-152) + (-202)\/(-1919).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 1 + 2)*(-t - t + 0*t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 60\/14 - ((-4)\/(-7))\/2. Suppose 60 = r*o - 0*o. Calculate the remainder when 57 + (-6)\/(-9)*3 is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1328 and 32400876?\nAnswer: 129603504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 44  (b) 31\/68  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert b (base 16) to base 13.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1477053 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -33, -57, -83, -111, -141, -173, -207?\n\"Answer: -r**2 - 21*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -102101 (base 3) to base 15\nAnswer: -157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -200873575 * 1.\nAnswer: -200873575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = -3*m - 7, m + 3 = 4*m. Suppose 3*b = -9 + 3, -2*b + 14 = g*z. What is the remainder when 23 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y**2 - 2*y - 1. Let b be o(-1). Suppose -2*j + s = -4*s - 50, 2*s + 8 = b. Solve 5*m + 3 = 2*c - 7, 3*m - j = -3*c for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:45 PM and 10:51 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0.153461 times -18\nAnswer: -2.762298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 26541 (base 8) to base 6.\nAnswer: 125441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -5*u**3 - 58*u**2 - 2*u. Let v(p) = 22*p**3 + 232*p**2 + 7*p. Give -9*g(b) - 2*v(b).\nAnswer: b**3 + 58*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3 - 2)\/((-2)\/(-4)). Suppose 0 = -i + d. Suppose i*l = 4*t + 16, 4*l - 16 = l - 2*t. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five sixths of a century in months?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y - 29*u + 34*u = 10, 2*y + 4*u + 16 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 8285 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 131837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 7*g**3 - g**2 - 4*g + 5. Suppose 10*l = 4*l - 18. Let d be p(l). Let r = -88 - d. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2 + 3 + 0 - -1. Let x be 2\/4*y\/(-1). Suppose -9 = -3*r - 0. Which is the biggest value?  (a) x  (b) r  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 118*q**3 - 64*q + 14*q**2 + 24*q**2 + 7 - 119*q**3 + 70. List the prime factors of y(36).\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 46 + 12. Suppose -9*g = -157 + d. Does 13 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 150 (base 8) in base 4?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -144, 554, 1708, 3312, 5360, 7846, 10764, 14108?\n\"Answer: -l**3 + 234*l**2 + 3*l - 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -522*m + 17745. Give h(34).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 i when two letters picked without replacement from ssgssigsgisgis?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9691 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 195443160 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 283.5541 + -283.8. Let f = 0.25 + t. What is f rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5.3 - -5.2. What is the smallest value in -3, -3\/2, y, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-60)\/(-1300) - 2\/10)*-13. Suppose 0 = -2*a + 8. Solve 5*p - 1 = 5*l - z*l, a*l + 6 = 2*p for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l**2 + 9*l - 2. What is q(-11)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1845 + 1662 = -115*c + 1133 - 386 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 282 + -137. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 103*-1053.76\nAnswer: -108537.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 768 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 + 1. Suppose -4*p + 82 = n*h, -h - 2*h + 94 = -2*p. Is h a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4637411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -10 - -1. Let f = q + 14. Let u(y) = 3*y**3 + 3*y + 3 - 2*y**2 - 7*y**2 + 2*y. Let o(m) = -5*m**3 + 14*m**2 - 8*m - 5. What is f*o(b) + 8*u(b)?\nAnswer: -b**3 - 2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.4074676 and -6.\nAnswer: -6.4074676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is t in t**5\/4 - 5*t**4\/4 - 17*t**3\/4 + 21*t**2\/4 = 0?\nAnswer: -3, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -3*k + 5. Let i(j) = -3*j + k*j - 1 - 2*j + 4*j. Determine i(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:42 AM and 7:00 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(119)\/sqrt(7) + -5 - (2*sqrt(2057) - sqrt(2057) - sqrt(2057)).\nAnswer: -5 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tbbbbbtsbsbbbbb. What is prob of picking 1 t and 3 b?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -29044 divided by 7157?\nAnswer: -29044\/7157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -49 + (3 - (-73 + 41)) + -31?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4\/5, -4\/7, -0.038, 2\/56615, -0.2?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -4787*k + 61288. Determine p(12).\nAnswer: 3844","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 68279726 is divided by 190?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -947.00802 + 947. Round s to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2.1 - -2. Which is the nearest to 6?  (a) 1\/7  (b) -0.2  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34814 is divided by 112.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 11 in 0.00356, 4, 0.5, 2\/17, 2\/5, -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16*12\/(-672)*(-2190)\/(-292).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(891) + 4)*-4 + -4.\nAnswer: -36*sqrt(11) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6291?\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 194749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3 - 1 - (-195)\/15. Let i = s + -9. Solve i = h - 3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a + 1 - 1)*(-2*a + 2*a - a**3) - 3*a + 144*a**2 - 144*a**2 + a**3 + a**4.\nAnswer: 3*a**4 + a**3 - 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -210200 - -11?\nAnswer: -210112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -6*c. Let r(z) = 4069075*z. Calculate p(r(i)).\nAnswer: -24414450*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 35339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*x**4 + 450*x**3 - 6385*x**2 - 6840*x.\nAnswer: -5*x*(x - 72)*(x - 19)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6*w - 4*w - 3*w)*(100 - 48 - 34)*(-145 + 14 + 13) to the form a + c*w and give c.\nAnswer: 2124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.001 + 0.301. Which is smaller: g or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 56.3 - 56. Which is the nearest to 1?  (a) -7\/4  (b) x  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 74727383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 30*g*r**2*y**3 + 2*g*r**2*y**2 - 2*g*r*y**3 + 6*g*r*y + 10*g*r + 2*r*y**3 wrt r.\nAnswer: 60*g*y**3 + 4*g*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 129642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3\/211 - 7352\/2321. Let r(o) = 2*o**2 + 19*o + 6. Suppose 4*z = -6*j + 3*j - 35, -5*j = 4*z + 53. Calculate the common denominator of r(j) and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1035 + 1080. What is the remainder when 1121 is divided by j?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -3*h + 87, 123 = 4*y + 5*h - 204. Suppose -y + 301 = m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 6 - -55?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -4*r + 7. Suppose 0 = -11*k + 112 - 299. Suppose 5*j = -d + 6*d + 25, -3*j + 5*d = -13. Let c(n) = -11*n + 20. What is j*c(t) + k*s(t)?\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1 - 3 - (-12 + -2). Calculate the common denominator of o\/(-8)*47\/(-6) and ((-4)\/(-30))\/((-48)\/(-2660)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the third derivative of 1\/75*h**5 - 1\/150*h**6 + 0 + 0*h + 0*h**3 - 39*h**2 + 1\/15*h**4. Let y(g) = 0. What is g?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35*x - 11*x + 326 - 10*x - 13*x - 293.\nAnswer: x + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 + 0)*(-1 + 0 - 1)*(-2 + 2*d + 2)*(-4*d + 4*d - 3*d).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**2\/2 + 174325*d + 13595829\/2.\nAnswer: (d + 39)*(d + 348611)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 2*v**3 + 58*v**2 - 26*v - 730. Calculate the remainder when 19653 is divided by c(-29).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 56 - 2. Let b = p + -57. Let v be b - (5\/((-20)\/8))\/1. Do v and 10 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -2*w - 104. Let h be m(-9). Let y = 103 + h. Let o = 35 - 16. Solve 3*v = 2*k - 3*k - y, 3*v + o = -2*k for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 2145677, 4291356, 6437035, 8582714, 10728393?\n\"Answer: 2145679*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.9 + -5.9. Which is the closest to 1\/2?  (a) -0.2  (b) p  (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13849 = -36*a + 25*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (43 - 1)\/(-1 + 2). Let g = 62 - s. Let x be (2 + 1)*(1 - 0). Solve 0 = -3*y - 3*h - 30, 0*y = y + x*h + g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 8 + 0 + -7 - 3 - 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(1\/9))**(9\/10)\/(p**(-1\/3))**(-3\/5) assuming p is positive.\nAnswer: p**(-1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 123 + 0?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 7, g: 4, n: 5}. What is prob of sequence pgp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 215 = -4*f - 5*b, -48 = 2*f + b + 67. Is (-40612)\/f + 4\/30 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -41418 or -41784?\nAnswer: -41784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 32 = -2*y, -g = 3*y + 3*g + 52. Let k = y + 8. Let s(u) = u**3 + 2*u**2 - 6*u - 2. Determine s(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 minutes before 3:33 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 61 = -5*q, -4*q = q - 15. Let i = 41 - f. Is i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(255)\/sqrt(5))\/sqrt(3).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*((f\/(f\/(f**(-1\/4)\/f)))\/f)\/f*f*f*f*f)**(-33) assuming f is positive.\nAnswer: f**(-231\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 9150072077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 15 and 354840.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*y - 2880 = -63*y. Solve -y*h - 66 = -8*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i - 67 = -61 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (312\/(-32) - -9) + ((-66092)\/(-16) - 1) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 28, -2958, 1, 2 in ascending order.\nAnswer: -2958, 1, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.033 + -0.02. Let l = n - 16.747. Let u = l - -16.79858. What is u rounded to 4 dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(-4*4\/(-16)*-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -173949 by -3.\nAnswer: 57983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 316765 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 690 divided by 3\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 247*p**2 - p + 76. Let k(r) = -124*r**2 + r - 38. Let f(a) = -5*k(a) - 2*v(a). What is the second derivative of f(b) wrt b?\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -12  (b) 2  (c) 604\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.95 + 1. Let i = -4.66 + 4.56. What is the nearest to -0.2 in x, 5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*v = 12*v + 18. Let f be ((-25)\/v)\/(3\/4). Let p(t) = t**3 - 4*t**2 - 23*t + 8. Let o be p(7). Which is bigger: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1 + 2. Let l be 18\/(-4) - 21\/(-14). Let m be (a - -1)\/(l\/(-24)). Solve 2*g - 6*g = -m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((t*t**(-4))**23)**(-16\/3))**(-2\/21))**(-2) assuming t is positive.\nAnswer: t**(1472\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 299*j**4 - 22*j**3 - 14908*j?\nAnswer: 3588*j**2 - 132*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 381 = 3*c, -5*c - 315 - 318 = 4*g. Let m = c - -175. Suppose m = -5*j + 130. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 37904 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 4434588 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4 - -2) + (-2 - -2). What is the remainder when 28 is divided by b\/1 - (-17 - 0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1482874*b*x + 2793367*b wrt x?\nAnswer: -1482874*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4602*o = -2*g + 4605*o - 9, 0 = 2*g + o - 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -5*c + 34. Let m be p(5). Sort -5, -4, m, 2 in descending order.\nAnswer: m, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/9780 and 97\/12.\nAnswer: 9780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -19 in -4\/13, 2\/13, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -daa41 (base 14) in base 5?\nAnswer: -113410430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2.4 and -0.0951134?\nAnswer: -0.22827216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/(-8) - 184\/(-32). Sort 0.02, 3, r, 1\/6.\nAnswer: 0.02, 1\/6, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1725656?\nAnswer: 2, 19, 11353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 247673?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -6, -38, 6.4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 + 0. Let f = 0.876 - -466.124. Let z = 462 - f. What is the closest to r in 1, -0.1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3954\/13 + -304. Is -0.8 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 30 - (-22 + (22 + -5 - 1))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2010, -3157, -4306, -5457, -6610, -7765?\nAnswer: -8922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*k = -6 + 108. Let l be 1\/k*(-49 + 28). Which is bigger: -2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3767500 and 2365?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 111101010011000001 (base 2) to base 6\nAnswer: 5214213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -7 + 36e?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7)\/2 - (655\/170 - 11 - -4)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 3*y + 25 = 0. Put 4, -2, y, -3 in decreasing order.\nAnswer: 4, -2, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 221 + 21212231232?\nAnswer: 21212232113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38*h**3 - 63*h + 36*h + 72*h**3 + 27*h.\nAnswer: 34*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4771 is divided by 434.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1278415 a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Do -111376.38 and -10 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 11*m**2 - 33*m + 124. Let w(p) = 4*p**2 - 11*p + 41. Let a(g) = 3*f(g) - 8*w(g). What is the remainder when 16 is divided by a(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h - 1 + 1)*(4*h - 3*h + 2*h + (49*h + 9*h + 5*h)*(-2 + 2 + 1) + 0*h + 7*h - 3*h).\nAnswer: 70*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that 2*t**2 - 12*t + 16 = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13278359 is divided by 3322?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 9*w + 2. Let u be (-8)\/12 + (-42)\/(-9). Let m be l(u). Suppose 7 = 5*v + 3*r - m, 0 = 3*r - 15. Sort v, 4, -4 in descending order.\nAnswer: v, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in q**3 - 681*q + 681*q.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 142d (base 14) to base 13\nAnswer: 1817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 104 = 4*n - 2*d, -3*n - d = -85. Let j be (9\/n)\/(1\/9). What is the biggest value in -4, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2506950317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4830393, 4830389, 4830383, 4830375, 4830365, 4830353, 4830339?\nAnswer: 4830323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 12\/7 - 2\/7*k**2 + 2\/7*k.\nAnswer: -2*(k - 3)*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.836388mg in tonnes?\nAnswer: 0.000000007836388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (19\/4)\/(5\/40)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 30 - 54*b + 16 - 6*b - 4*b**2 - 153 - 117.\nAnswer: -4*(b + 7)*(b + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 91?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -4*(-1 - (-60)\/56). Let q = 289.66 + -287. Let m = q - -0.34. What is the closest to 17 in m, 4\/9, y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9519761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 116767?\nAnswer: 7, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 540135804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 3*l - 26. Let g be s(8). Let y be (1 - 0)\/(g\/(-384)*12). Calculate the greatest common divisor of 2 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:51 AM and 3:46 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -569.1 plus -3539505?\nAnswer: -3540074.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1231, -2467, -3709, -4963, -6235?\n\"Answer: -h**3 + 3*h**2 - 1238*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-68)\/20 + 3)*(-2)\/(-50). Let c = j - -264\/875. Let u = 15 + -10. Is u less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -u**3 - 3*u**2 + 18*u = 0. What is u?\nAnswer: -6, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 * 365.3.\nAnswer: -365.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence we when two letters picked without replacement from uwyyhuhxhuyxyxwuhe.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**3 - 6*j**2 + 2*j + 5. Let k be b(-6). Let c = k + 57. Suppose 0*z = 5*z - c. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 5 - 10*f)*((93*f + 7*f + 7*f)*(-3 + 3 - 2) + (-2 + 2 - 3)*(-4 - 2*f + 4) + 0*f - 3*f + f).\nAnswer: 2100*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that 3*m**5 + 45*m**4 + 141*m**3 - 237*m**2 - 144*m + 192 = 0.\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the third derivative of -t**7\/420 + t**6\/60 - t**5\/24 + t**4\/24 + 4*t**2. Factor l(s).\nAnswer: -s*(s - 2)*(s - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.1930512 rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -102.7 + 639.7. Let v = -537.247 + p. Round v to 2 decimal places.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -13 + 18 + -6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13\/11 - -433\/385. Which is the nearest to 2?  (a) w  (b) 0.2  (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7534 + -7444. Calculate the highest common factor of s and 2385.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -40, -198, -466, -844, -1332?\n\"Answer: -55*o**2 + 7*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-1096)\/2466)\/(8\/(-60)*-10))\/((-2)\/(-96))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -9202.702 and -6.\nAnswer: 55216.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -51 + (7 + 6 - (15 + 6 - 9)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6, 42, 148, 360, 714?\nAnswer: 1246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 68*k + 112*k - 314*k.\nAnswer: -134*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Do 0.18 and -2622 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the third derivative of o**4\/24 + 27*o**3 + 32*o**2. Is 17 a factor of i(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j**2 - 3 + 3 + 217 - 217 - 10*j**2 + (3 - 3*j**2 - 3)*(-4 - 2 + 3))*(2*j + 0 + 0) + 0 + 0 - j**3.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u**3 + 8*u**2 + 5*u - 3. Let r be n(6). What is the highest common divisor of 11 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 619*x - 166010 = -660*x + 395*x - 393*x for x.\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1923, -2, 1, -9, 3 in descending order.\nAnswer: 1923, 3, 1, -2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**3 - 2*k**2 - 8*k + 1. Let m be a(4). What is the closest to 1 in -0.5, m, 7, -3\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9 - 12. Let q(h) = 2*h**2 + 7*h - 5. Let c be q(-4). Let x be 2*(c - -2) + m. Let o(r) = r - 1. Let k(w) = 1. Determine x*o(j) + k(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 94137430.\nAnswer: 2, 5, 457, 20599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dpdd when four letters picked without replacement from {d: 9, p: 2}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -233 + 232.8. Let s = 0.2 + 0. Let y = s - w. Sort 0.2, -5, y in descending order.\nAnswer: y, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -4*n. Let i be 4*(-3)\/6 - -2. Solve i = 3*g - n*g + 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16382 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*y = -14*y + 5*r + 24, 6 = -2*r for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7231 by 325.\nAnswer: -7231\/325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 107004, 107006, 107008, 107010?\n\"Answer: 2*t + 107002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*i = 9 + 36. Let k(a) be the third derivative of 0*a + 0*a**4 - 1\/60*a**i + 0 + 0*a**3 + 8*a**2. Let s(u) = -2*u**2 + u. What is -k(f) + s(f)?\nAnswer: -f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -12*w. Let g(n) be the first derivative of -4*n - 7 - 197*n**2 + 196*n**2 + 4*n. Calculate d(g(b)).\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d + 3*d - 6. Let v(q) be the third derivative of 11*q**4\/24 - 7*q**3\/6 - 11*q**2. What is the units digit of v(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 976889150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*z - 4 - 12. Let h be (0 - -148) + -1 - 0\/(-44). Let t = h + -147. Solve -z*d + 22 = -2*d - 5*r, t = 3*d + 5*r + 17 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2193*n - 2198*n = 5*k - 45, -5*k + 25 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 133 and 114?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**3 + 2*f**2 + 186*f - 4451. Calculate l(0).\nAnswer: -4451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*w**5 + w - w + (-3*w**3 - 3*w**3 + 3*w**3)*(w**2 - 2 + 2) - 3*w**2 - 69*w**5 + 71*w**5 + 6*w**2.\nAnswer: w**5 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1645.1 - 1644.9. What is the fourth smallest value in -0.07, z, 5, 0, -0.6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 442652689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4414556109?\nAnswer: 3, 83, 1321, 13421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -4*a + 144, -150 = -5*a - 2*s + 7*s. Let v(q) be the first derivative of q**3\/3 - 4*q + 1. Calculate the remainder when a is divided by v(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that 3*b**4 + 9*b**3 - 12*b = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.403634822 rounded to three dps?\nAnswer: -1.404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 113061?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fifty-two fifths of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*v**3 - 19*v**3 + 5*v**2 - 5*v**2.\nAnswer: -28*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -898467*w**4 - 7*w**3 - w**2 - 3153941*w?\nAnswer: -21563208*w - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -39*g + 129*g - 51*g + 16 - 55*g in the form y*g + q and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3\/2, 1\/5, 115\/3, 1, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -17026 and 0.79.\nAnswer: -13450.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*v**2 + 21 - 40 - 217*v**2 + 19.\nAnswer: -202*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -11, 86 in decreasing order.\nAnswer: 86, 3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**3 - 7*l**2 + 8*l - 5. Let a be b(6). Let r(z) = -2 + 0*z + a*z - 8*z. Determine r(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-8))\/(7 - 4)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-19)\/16)\/(217\/2604))\/3?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 181, -1\/6, -0.5, -45?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 7660.\nAnswer: 1\/3830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4284)\/51*12\/(-42).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 205 = -3*a, -3*a - 339 = -8*a - f. Is a a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 315503 is divided by 63089?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 30 + -21. Let j be 2\/(-3) + 74\/(-6). Let q = t + j. Sort -2, -5, q in descending order.\nAnswer: -2, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 265, 3 in increasing order.\nAnswer: -2, 3, 265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate d**2*i*w - 124*d**2*i + 138*i*w wrt w.\nAnswer: d**2*i + 138*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(21)\/sqrt(3) - (-3*sqrt(7)*-5 - sqrt(7)))**2 - ((sqrt(448) + 0)*-4 + 3).\nAnswer: 6*sqrt(7) + 1181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gsg when three letters picked without replacement from {g: 2, s: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 22 - 38. Let f(z) = z**3 + 15*z**2 - 20*z + 7. Is f(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 771321963, 1542643925, 2313965887, 3085287849, 3856609811?\n\"Answer: 771321962*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2616 divided by -523?\nAnswer: 2616\/523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-11524)\/946)\/(30\/165)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, 0.036, -2\/3615?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1041*u + 1045*u = 2*c + 52, -5*c + u - 85 = 0 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 - -9. Which is smaller: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-679)\/4753)\/((-1)\/14*4\/4742). Solve -2365*u = -z*u + 36 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11 + 0 - 3 + 3*i - i to h*i + a and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.1, -1\/2, 0.4, -0.296, -1?\nAnswer: -0.296","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 * 72048163.\nAnswer: 144096326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 137, -7, -13, -1, 2, 13 in increasing order.\nAnswer: -13, -7, -1, 2, 13, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, -3, 11 in increasing order.\nAnswer: -3, 11, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 4*q + 22 = -2*j, -2*q - 6 = 4*j. Calculate the common denominator of ((-101)\/12 + j)\/(1 - 2) and 77\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -56*u - 3307. Let m be r(-63). Solve -m*l + 222*l - 2*t + 6 = 0, 3*l = -5*t + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1036\/592)\/(2\/(-24)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10 and 9280?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 22 + -18. What is the biggest value in 0.3, x, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1010, -1, -1.7, 4 in increasing order.\nAnswer: -1010, -1.7, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w - 22 = 2844*p - 2848*p, w - 245 = -28*p for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from euzzseszsxuo. Give prob of sequence eou.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence km when two letters picked without replacement from {k: 3, m: 8}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 79 is divided by 51?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -76 = 17*w - 59 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.1 - 0. Let z = -6.48 + 2.48. Which is the nearest to v?  (a) 1\/2  (b) -1  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 482299116.\nAnswer: 2, 3, 13, 19, 29, 31, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:57 PM and 11:54 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 - a9331?\nAnswer: -a9335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -757117*g**2 - g - 547350?\nAnswer: -1514234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 55*s**3 + 14*s**2 + 11*s - 29. Let a(u) = 23*u**3 + 5*u**2 + 4*u - 10. Calculate 8*a(j) - 3*g(j).\nAnswer: 19*j**3 - 2*j**2 - j + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f**2 + 3*f + 4. Let o be d(4). Sort o, -1, 4 in descending order.\nAnswer: 4, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 19 + 459. Suppose -182 = -12*t + m. Let n = t + -52. Solve s + 9 = 3*s - d, -n*d = 5*s - 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/42 - (-38)\/57)*14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/(((-21)\/(-12))\/(-7)). Suppose -19 = 4*j + 1, -4*f - w*j = -36. Suppose 4 = -5*v + f. Solve 5*y + 4*m - 21 = 0, 4*m - 8 = v*m for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -43639 or 0.37?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = -3*i + 10. Suppose 4*m + 167 = 2*l - i, 5*m = 2*l - 175. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that -2*t**2 + 2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1514 + 3?\nAnswer: 1517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that 4*d**5 + 260*d**4 + 756*d**3 + 748*d**2 + 248*d = 0.\nAnswer: -62, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16268 is divided by 66?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 - 53 - (-1 - (-3 - (1 + 3)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 minutes after 9:01 AM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -6*f**2 + 2*f. Let o(g) be the second derivative of -5*g**4\/12 + g**3\/6 + 2*g. Calculate -3*k(p) + 4*o(p).\nAnswer: -2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -10*t**2 - 4. Let o(a) = -8*a**2. Let r(d) = 3*d**2. Let m(l) = -6*o(l) - 15*r(l). Give m(u(c)).\nAnswer: 300*c**4 + 240*c**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**2 - 2197*w.\nAnswer: -w*(w + 2197)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: cbbb (base 13) to base 5\nAnswer: 1402002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 30\/187 - -75\/17017. Calculate the common denominator of r and 9\/28.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the second derivative of -k**6\/720 + k**4\/4 + 2*k. Let s(v) be the third derivative of t(v). Let h(f) = 3 - 3 - 2*f. Determine h(s(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 64 divide 75499778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 3, -39, -109, -207?\n\"Answer: -14*d**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15373, -15377, -15383, -15391, -15401, -15413?\nAnswer: -15427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -274245 * -0.0683.\nAnswer: 18730.9335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 164*a = 208*a - 88. Solve -3*y = -a + 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6, 41, 92, 165, 266, 401, 576, 797?\nAnswer: 1070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o, 1 r, 1 k, and 1 y when four letters picked without replacement from bbkbbyrkoibbbb?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -865 by 173.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the second derivative of -x**4\/12 - 2*x**3\/3 - 9*x**2\/2 - 43*x. Let r be w(-3). Let p(o) = o**2 + 6*o + 7. Give p(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v**3 + 24*v**2 + 48*v + 81. What is s(26)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 257168\/385761 - -2\/128587. What is z in 0 - 40\/3*z - r*z**2 = 0?\nAnswer: -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-12)\/54 + (-357)\/(-27). Solve -5*b + 8 = o for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**3 + 6*s**2 + 3*s + 4. Let n be d(-5). Is 15 less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((15\/(-40))\/(6\/(-4)))\/(13\/988)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are -1967925 and -1967925 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/10 + 209\/(-495)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1 + 0*(2 - 1). Let n = 112 - 109. Let k(g) = g - 1. Let c(w) = w**2 - 9*w + 9. Let t(r) = a*c(r) + n*k(r). What is t(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(114)*-2 + sqrt(114) - sqrt(114)))\/(sqrt(6) + 3*2*sqrt(6)).\nAnswer: 8*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/5, 0.3, -2\/39?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 28, 39, 50?\n\"Answer: 11*r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and 55572 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -24  (b) 2  (c) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*6*(sqrt(325) + (sqrt(325) - (1 + (sqrt(325)*1 + sqrt(325) - sqrt(325)))) + -6*(sqrt(325) + 1) + -1 + -3))**2.\nAnswer: 79200*sqrt(13) + 1187424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6991 - -18046. What is the hundreds digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 5*s + 4 = 0, -5*b - 97*s = -100*s - 18. Solve 0 = 2*i - 2, -b*g + 2*i + 13 = 3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -7 and 53607998079668?\nAnswer: 53607998079675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that 4*r**4 - 2252616*r**3 + 317126659012*r**2 + 4440104366208*r + 15540751614976 = 0.\nAnswer: -7, 281584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: What is (-12 + 8)*1\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6004 - 11741. Which is bigger: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(6\/17)\/h)\/h**(-1\/10))\/(h**(-18)\/(h**(-5\/3)*h)) assuming h is positive.\nAnswer: h**(8561\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 4*u + 141. Let w be l(-34). Which is the smallest value?  (a) -2  (b) 6\/11  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 18512\/157, 0.4, 0.3?\nAnswer: 18512\/157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 44 + -22 + -15 - (0 - (-1 + -7))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 0 - -82586?\nAnswer: 82586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.7864636 months in years?\nAnswer: 0.2322053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/10*1\/(1\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 235\/(-35) - (-2)\/(-7). Let b(n) = -2*n - 17. Let d be b(c). What is the tens digit of -1 - (2 + -40 + d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -32, 3, 20, -1022 in increasing order.\nAnswer: -1022, -32, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1809592 to the nearest integer?\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 25240416 to the power of 1\/2, to the nearest integer?\nAnswer: 5024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -1019, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 472006 = 3*s - 7*s, 590003 = -5*s - j. What is s rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-6))\/(12530\/176400 - 22\/385)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12458788, 12458785, 12458782, 12458779, 12458776?\nAnswer: 12458773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1354*x = v - 1358*x + 3, -5*x = -v - 6 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4924896 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 38*w + 51. Let s(v) = 2*v**2 - 2*v - 2. Let g be s(2). Calculate the remainder when 365 is divided by a(g).\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 83*z - 58*z - 22*z. Let f(r) = -12*r - 1. Determine 4*f(h) + 18*j(h).\nAnswer: 6*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 80000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*2*(1*sqrt(55)\/(sqrt(1331) - (sqrt(1331) + 1*sqrt(1331))) + 4*((0 + sqrt(245))**2 - 4*sqrt(15)\/sqrt(3))).\nAnswer: -354*sqrt(5)\/11 + 1960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f = -4*b + 6*f + 3, -f = -2*b - 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -3*r + 58. Let s be d(11). Suppose -21*w = -s*w + 20. What is the remainder when 38 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 25 = -4*l. Suppose a + 2*j + 2*j + 6 = 0, -l*a - 2*j = -6. Suppose -3*g - 2*m + 10 = 0, a*g + 0*m - 25 = -5*m. Put 3, 1, g in descending order.\nAnswer: 3, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11\/6726018 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26399 is divided by 1879?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1 and -17296765?\nAnswer: 17296766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*y - 62 - 62 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 72105290 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 376 + -372. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 137 a factor of 1586468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 67906906 to the power of 1\/3, to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 681919981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/(-8 + 4) + -8 + 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 19\/8197 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a and 1 q when three letters picked without replacement from ooaoaoq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 5743 > 5743?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -366 - -18?\nAnswer: -34d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) -4  (b) 0.2  (c) 3\/4  (d) 40.49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 2111 = 347. What is the common denominator of ((-2)\/6)\/((-16)\/t) and -49\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v**2 - 24*v + 63. Let i be z(-27). Let d be i\/(-21)*(-920)\/(-60). Let 2\/7*f**5 + 22\/7*f**4 + 54\/7 + d*f**3 + 162\/7*f + 180\/7*f**2 = 0. Calculate f.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.06 in -4, 2\/3, 7, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z**2 + 7*z - 5. Let q be j(-16). Let b = -692\/5 + q. Factor b*h**4 + 3\/5*h**3 - 3\/5*h**2 - 3\/5*h + 0.\nAnswer: 3*h*(h - 1)*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -8*r + 4*r**2 + 8*r. Let k(b) = 5*b. Calculate a(k(j)).\nAnswer: 100*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 176 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from ktitktikkiifitffffft.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 7459 in 2\/7, 2\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 2*m + 17. Let s(v) = 190*v**2. Give s(y(p)).\nAnswer: 760*p**2 + 12920*p + 54910","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 75750 and 5105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p + 39*k + 351 = 0, 792*p + 45 = 788*p - 5*k for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-20 - -22) + 2 + 1. What is the second derivative of -11*l + 17*l**4 - 9*l**4 + 5 - w wrt l?\nAnswer: 96*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -59.24 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*w + 10*w + 59*w = 2695 for w.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 - -4. Suppose -152*o + 157*o - 10 = 0. Let n = z - o. Solve 9 = -4*v + v, n*s = 3*v - 3 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 46.3157283 rounded to 0 decimal places?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x**2 - x. Let l(u) be the first derivative of 3 + 4\/3*u**3 + 3*u**2 + 0*u. Let d = -16 - -22. What is d*j(f) + l(f)?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b*b**(-1)*b)**(-2\/31)*b*b**(-1)*b*b**0 assuming b is positive.\nAnswer: b**(27\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x. Let n(i) = 11*i - 1. Determine -4*a(b) + n(b).\nAnswer: 15*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from {w: 3, q: 7}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3667904?\nAnswer: 2, 223, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 112931.13 to the nearest 1000.\nAnswer: 113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a - 2*a = -5*j - 20, -20 = -j + 4*a. Let t = 12 + -10. Suppose t*p - 64 = -j*p. Which is smaller: p or 33?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/((-2)\/42*3))\/1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 6, 76, 218, 426, 694?\n\"Answer: -o**3 + 42*o**2 - 49*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (600\/(-24) - (-310)\/5) + -26.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*v**4 + 2*v**4 - 7*v**4 + (-20292 - 8*v**4 + 20292)*(-3 + 1 + 9) + v**4 - 3*v**4 + 3*v**4.\nAnswer: -57*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -157.9, -45 in ascending order.\nAnswer: -157.9, -45, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -13*a - 50*a + 0*a**2 + 0 - 1 + 2*a**2 + 0 + 134*a**3 wrt a?\nAnswer: 804*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = 5*m - q, 0 = -4*m - 4*q + 7 - 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**2 + 7*s + 4. Let r be w(-7). Suppose -r*y + 14 = -2*n, 0 = 2*n - 0*y + y - 1. Let q be ((-3)\/n - 15)*170. Round q to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -435*o + 505 - 1109 + 609.\nAnswer: -435*o + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 343 + -343. Let r(p) be the first derivative of 0*p**3 - 9*p + i*p**4 + 0*p**2 - 1\/5*p**5 + 3. What is the derivative of r(c) wrt c?\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -104543, -4\/3, -38?\nAnswer: -104543","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4848, -3909, -18496, -38907, -65136, -97177, -135024, -178671?\nAnswer: -228112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g**3 + 9*g**2 - 24*g + 58. Let b be d(7). Let k = 18 - 8. Let r be k\/b + (-15)\/(-30). What is the closest to r in 0, 0.6, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 60 divide 14880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-8)\/16)\/(2\/6) + 1005 + -1006. Let f = 0.08 - -3.92. What is the closest to -1 in -3, f, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:56 PM and 8:14 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 14*(14\/4)\/7. Suppose -k = -q - 3. Let t be (k\/(-12))\/(9\/(-54)). Put -4, -7, t in increasing order.\nAnswer: -7, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 4*g**2 + g - 3. Let v be 6\/(-2) - 2*1. Let b be r(v). Suppose -5*a + 3*z = -b, 4*a - 61 - 19 = -4*z. Solve -a = 4*f - 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(220)\/(sqrt(20)\/sqrt(4)*6))\/((sqrt(100) + sqrt(100)*2)*-1).\nAnswer: -sqrt(11)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 1358 = 3*f, 2*m + f - 782 + 102 = 0. What is the greatest common factor of 55 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 149145*h**2 + 1464*h. Let s(z) = 915*z**2 + 9*z. Calculate 3*k(a) - 488*s(a).\nAnswer: 915*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 912717 to the power of 1\/2, to the nearest integer?\nAnswer: 955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 10 - 14 = 0. Suppose -d + 4 = -b. Does 12 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 4*l = 0. Suppose l*o + 3*g = o, -4*o + g = -11. What is the second derivative of q + q + 2*q**3 - 14*q + 9*q**o wrt q?\nAnswer: 66*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40 = -8*z + 18*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0\/(3\/(-9)*3). Suppose 0 = -4*i - 5*d + 112, i + d - 29 = -g*d. Suppose -m - i = -119. Is 13 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*y + y + 54. Let q = y - 11. Suppose 14 = -5*g + q*g + 4*r, 3*r - 18 = -3*g. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*h - h + 0*h)*(24 - 57 + 21)*(-2*h + 3*h - 2*h) to the form w*h + u + z*h**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(108)\/(sqrt(3) + sqrt(6)\/sqrt(2)))\/(3*sqrt(108)) - (6*sqrt(75) - sqrt(3))*-6*6)**2.\nAnswer: 353176849\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 113 or 24894?\nAnswer: 24894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -919*u + 914*u = -200. Let o be (10636\/10)\/(16\/u). Round o to the nearest one hundred.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 19 = 4*f + 3, -f = -3*x + 1. Suppose f*m - 2*z - 3*z = 70, 3*z = -m + 18. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k - 21 + 27 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 6 = -3, 2*o - 4*d = 20. Solve o*m - 15 + 3 = 0, -b + m = 8 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -9565 + -13?\nAnswer: -9578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -41 - -39. Which is the second biggest value?  (a) 0.1  (b) y  (c) -8  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 + 3.5. Let g = -11 + 8. Let n = -54 + 53. Sort g, n, i.\nAnswer: g, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(8) - -3*sqrt(4)\/sqrt(2).\nAnswer: 1 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**3 + 13*q**2 - 23*q + 7. Let z be o(-12). Suppose 0 = -6*t + 119 + z. List the prime factors of t.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -4 + sqrt(68)\/sqrt(4) - (sqrt(1088) + (1 + sqrt(1088) - sqrt(1088)) + sqrt(1088) - sqrt(1088) - sqrt(1088) - (-3 + sqrt(17)*2)).\nAnswer: -6 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4 + 316?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 108 or 191?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 7*h + 32. Let z be g(-4). Solve -q = -3*j - 3, 0*j = -4*q + 4*j - z for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -24750 divided by 375\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -108 - 48. Let q = -95 - w. What are the prime factors of q?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x*x**(-1\/6)*x*x)**(-2\/5)\/(x*x**4*x*x)**(-1\/21) assuming x is positive.\nAnswer: x**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 387604.\nAnswer: 2, 7, 109, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = 3*a - 21, -2*b + 21 = 4*a - 5*b. Let p = -24 + 37. Suppose -t = 3*r + a, 3*t + r = 3*r + p. Sort t, 2, -6 in decreasing order.\nAnswer: t, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 711, 1182, 1653, 2124?\nAnswer: 2595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pupv when four letters picked without replacement from {n: 2, q: 4, p: 2, v: 2, l: 1, u: 1}?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(21) + sqrt(84))\/sqrt(7)*-2 + (sqrt(540)*-1)\/((sqrt(80)\/sqrt(2))\/sqrt(8)))**2.\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4614 by -2307.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -325 (base 16) to base 4.\nAnswer: -30211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.156 or -644\/5?\nAnswer: -0.156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/6 + 377\/(-78). What is the closest to 1\/2 in -0.4, m, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.071, -0.9, 1, -1\/5, -0.1, -2\/5, -13?\nAnswer: 0.071","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -38869382 to the nearest 10000.\nAnswer: -38870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0, -4, 1, 0.0720534?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 4*t + 66*z - 67*z, 4*t + 3*z = 21. Solve 1\/4*u**t + 3\/4*u**2 + 1\/4*u - 3\/4*u**4 + 0 - 1\/2*u**5 = 0 for u.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*((sqrt(99) - 3*(sqrt(99) + sqrt(99) + 0)) + sqrt(99))*-4)**2.\nAnswer: 633600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4)\/24*-22 + 3\/9. Let m(u) = -x + 1 - 18*u - 5. What are the prime factors of m(-8)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5 + -5. Find the second derivative of -3*j**3 + 0*j**2 + i*j + 0*j**2 + 2*j wrt j.\nAnswer: -18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4417 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -8927 divided by -79?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 90.58509144 + 1.41491466. Let v = z - 92. What is v rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 155*j**2 + 2 - 46*j**3 - 3*j - 149*j**2 + 3*j + 41*j**3 to z + p*j + l*j**3 + f*j**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 19564480940 rounded to the nearest 1000000?\nAnswer: 19564000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:15 PM and 5:53 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 300 + -291. What is the lowest common multiple of k and 140?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -0.3, -79, -3\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v**2 - 5*v - 1. Let o be m(7). Suppose n + 8 = -2*s, -5*s - 14 - o = -n. What is the second derivative of -n*p + 6*p + p**3 - 2*p wrt p?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8534653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the third derivative of u**4\/24 - 2*u**3\/3 - 134*u**2. Let n = 2 + -3. Let z be (4\/(-4) - 1)*n. Give w(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 106, -127, -780, -2057, -4162, -7299, -11672?\nAnswer: -17485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4.9 - 5. Let b(c) = 6*c**2 - c - 2. Let f be b(-1). What is the closest to k in f, -1\/6, -5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12344 = -119*j - 7227 for j.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*n - 527 + 167. Let g = 19 + n. Let l(b) = b**3 + 4*b**2 + 4. Let j be l(-3). What is the greatest common divisor of g and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -616904*n**2*z**4 + 13*n**2*z**2 + 6*n**2*z + 14380076*z wrt z?\nAnswer: -7402848*n**2*z**2 + 26*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 2*l = -3*l - 18, -3*v + 5*l = -12. Which is bigger: -4\/31 or v?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1332*n**4*w + 24*n**4 + 154*n**2 - 44*w wrt n?\nAnswer: -31968*n*w + 576*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 2*k**2 + 5*k + 6. Let n be r(-6). Suppose 0 = -i - 12 + n. Is 9 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7, 19, 57, 133, 259, 447?\nAnswer: 709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/4, 0.04, -15, 262.43 in ascending order.\nAnswer: -15, 0.04, 1\/4, 262.43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 19\/7 + (-1 - 2). Suppose -g + 4*d + 8 = 0, 2*g - 6 + 0 = 3*d. Suppose g = 3*j + j. Which is greater: j or w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -565, 8, 2, -5.\nAnswer: -565, -5, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 40\/(-78) + (-13)\/(169\/2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -42133525 + -5343?\nAnswer: -42143312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4 + 6. Let z = -0.15 + 19.15. Let l = 14 - z. Which is the closest to s?  (a) 1  (b) l  (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 26a9a32 (base 13) to base 9.\nAnswer: 24836416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*h + 9*h = -23. Suppose 18*l - h*l + 25 = 0. Solve 0 = -4*d + v - 21, -7*v - 5 = l*d - 4*v for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*l**2 + 270370*l - 540760.\nAnswer: 5*(l - 2)*(l + 54076)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -3.1514  (b) 0.3  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -81\/10181180 and -89\/7126826.\nAnswer: 71268260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -k - 5, -2*k - k = 2*d - 13. Suppose -4*o + 40 = 5*g - o, 5*g + d*o = 40. Let v(z) = -z**3 + 10*z**2 - z + 7. Is v(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -4*o + 26, -2*o - 2*h + 15 = -5*h. Suppose o*j - 3414 = -378. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -8\/71, 7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -12200000 to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-30\/13)\/(d*d\/(d**38\/d))*d**(5\/6)\/(d\/d**(-39)) assuming d is positive.\nAnswer: d**(-505\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by 39?\nAnswer: -5\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1 + -4 - -4)*5. Let t be (2\/c - 1)\/(2\/(-20)). Solve 4*g - 2 = -t for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7354\/11 + 668. Is -1 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43*l + 3*l - 276 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (14\/(-1))\/(2\/2). Let g = y + 555. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 less than 196\/213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 bigger than -8\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 598, 1518, 2426, 3316, 4182?\n\"Answer: -t**3 + 927*t - 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*t = -17*t + 18. Suppose -5*g - j = -111, t*j - 25 + 102 = 3*g. Suppose 5*p + 18 = g. Solve 2*x - 3*x + p = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3 - 1. Suppose y*g - 4 = 3*h, -h + 5*g = -0*h - 16. Let s = h + 7. What is the highest common factor of 3 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that -2*p**5\/13 - 2*p**4\/13 + 16*p**3\/13 + 16*p**2\/13 - 32*p\/13 - 32\/13 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1570 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -4*f - 51. What is the units digit of z(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 1244*q - 3728. Determine u(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 42592?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 162378 greater than or equal to 7306978\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 52*w**2 + 1624*w - 1624*w.\nAnswer: 52*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 27.1 - 31.1. Which is the nearest to 0?  (a) g  (b) -5  (c) -3  (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*w**3 + 38*w**2 + 7*w**3 - 12*w**3 - w - 2*w**3 to i*w**3 + t + o*w + r*w**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -9\/41?  (a) 4  (b) -0.5  (c) 1  (d) 120\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-45 - 76 - -43) + 31\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -3*i - 13. Let a be x(-12). Calculate the highest common divisor of a and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-13205)\/(-1390)*(-246)\/57.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 15*(3 - (-24)\/(-10)). Solve -2*r - 3*c = -0*c + h, 3*c + 24 = 3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -145.88 and 2.\nAnswer: -143.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 58 + 20. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -15116, -15118, -15122, -15128?\n\"Answer: -k**2 + k - 15116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 73 - 52. Suppose -2*d + s = d. What is the remainder when d is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 40*s + 48. Let d(k) = -7*k - 8. Let g(u) = -34*d(u) - 6*t(u). Give g(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 minutes after 3:10 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 547772796 by -6.\nAnswer: -91295466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 39590 and 4430.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 4*v = 2*r - 56, -3*v = -4*r + 108. Sort -5, r, -218 in increasing order.\nAnswer: -218, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -3*q + 1765, 3*q + 1780 = 6*q + 2*c. Suppose 5*b = -0*b - q. Let d = 123 + b. Solve -2*w - 8 = 0, d*j + 3 - 4 = 4*w for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -79015545 by -8779505.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b - 5*c - 18 = 0, b = 4*c - c + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 5*v - 25 = 0, -k - 3*k + 4*v = -20. Let m(l) = l**3 + l**2 + l + 42. Let r be m(k). What is the highest common factor of 14 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.125 and 1.93.\nAnswer: -0.24125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -16*c**3 + 4*c + 11. Let i(v) = -3*v**3 + v + 2. Let l = -8 + 6. What is l*j(r) + 11*i(r)?\nAnswer: -r**3 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*q - 25*q + q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*1*-1*2\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -316*y - 9. Let p be 5 - (1 - (0 + -5)). Is h(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, -1\/23, -336, -0.1 in decreasing order.\nAnswer: -1\/23, -0.1, -0.2, -336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 82 = -2*i, 2*i - 110 = -0*i - 3*s. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 0*p + 322 = -2*p, 554 = 5*y + p. Calculate the highest common divisor of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1811 divide 610055842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**3 - 26*m**2 - 4*m + 4. Let h(u) = u**3 - 2*u**2 + 2*u - 1. What is 3*h(t) + k(t)?\nAnswer: 2*t**3 - 32*t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 47719567*f**3 + 13947214*f + 1?\nAnswer: 286317402*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-158)\/7)\/((-204)\/(-714)). Let u = -9 - -6. Sort f, u, -2, -4 in ascending order.\nAnswer: f, -4, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**3 + 3*c**2 - 5*c - 4. Let w be x(-4). What is the common denominator of 4 - (w - 124\/(-56)) and 85\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minutes before 2:05 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -64  (b) 5  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z + 15. Determine q(-10).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 12 + -8. Let t = 4019 + -4017. Solve t*o - m*o - 7 = -3*i, 0 = -4*o - 2*i - 22 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -14521, -58122, -130793, -232534, -363345, -523226, -712177?\nAnswer: -930198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 11934\/390 + -23.\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (23 + -3)*12\/(-30) + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qbte when four letters picked without replacement from qpqerqpeeqqbqeprtq.\nAnswer: 7\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 41 in 0.4, -0.6, 5, -0.0805, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (7\/((-49)\/(-6)))\/(4\/28). Does 13 divide (-2)\/(h\/(-151)) + (-4)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/5, -5, -0.3, 21 in ascending order.\nAnswer: -5, -0.3, 3\/5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 584 minutes after 9:15 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 198829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (90\/(-16))\/(-15)*-4 - (1 + (-4)\/(-56))?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 3919, 15658, 35221, 62602, 97795, 140794?\n\"Answer: -o**3 + 3918*o**2 - 8*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (20\/12)\/(6\/(-9)*(-175)\/630).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 375740.\nAnswer: 2, 5, 18787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -u**2 + u - 9. Let l(o) = -o**2 - 2*o - o - 8 + 4*o. Let p(h) = 4*k(h) - 5*l(h). What is the remainder when 29 is divided by p(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 297992 is divided by 3506?\nAnswer: 3488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the second derivative of -b**4\/12 + b**3\/2 - b**2 + 8*b. Let v be m(-4). Let u = -24 - v. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4955.0127 rounded to the nearest ten?\nAnswer: -4960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(18)\/(sqrt(54)\/(sqrt(48)\/sqrt(8))).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7933 by 24671.\nAnswer: -7933\/24671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -87228.\nAnswer: -1\/29076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16, -24, -26, -16, 12, 64?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 - -3. Suppose 3*h = 9 + y. Solve -2*t - 2 = -b - 2*b, 3*t - h = b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 17 + -1695.\nAnswer: -1678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11902, -10666, -7308, -766, 10022, 26118?\nAnswer: 48584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**2 + r. Let j be 0\/1 - (-13 - -8). Suppose -2*o - j = 3*o. What is u(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 5*m - 5. Let x(y) = 25*y - 26. Let q(p) = -11*s(p) + 2*x(p). Differentiate q(t) with respect to t.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the second derivative of -x**9\/5040 - 3*x**8\/2240 - x**7\/280 - x**6\/240 - 3*x**4\/4 - x. Let d(a) be the third derivative of v(a). Factor d(r).\nAnswer: -3*r*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2, 25, -3\/7, 1\/6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -17348, -34689, -52032, -69377, -86724?\n\"Answer: -v**2 - 17338*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 364*o + 369. Let c be z(-1). Find r, given that -30\/7*r**4 + 18\/7 - 12\/7*r + 4\/7*r**c - 52\/7*r**2 + 72\/7*r**3 = 0.\nAnswer: -1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2000, 0.06, -8\/5, 4, -5 in increasing order.\nAnswer: -5, -8\/5, 0.06, 4, 2000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the third derivative of -j**5\/60 - j**4\/6 + j**3 + 2*j**2 + 93*j. Determine i(4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 20370 and 35.\nAnswer: 20370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let 16*m**5\/13 + 208060*m**4\/13 + 901974750*m**3\/13 + 1304104803980*m**2\/13 + 2279760191720*m\/13 + 488447590224\/13 = 0. What is m?\nAnswer: -4334, -3\/2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add together 5 and -97604.\nAnswer: -97599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1236 is divided by 417.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/(-6) + 30\/(-45). Let p be (-4)\/(-2 - (b + -2)). Let r be -1 - 2\/2*p. Solve -r*q + 3 = -2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eighteen fifths of a hour in seconds?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -93 + 2*y**3 - 5*y**3 + 0*y**3.\nAnswer: -3*y**3 - 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence luu when three letters picked without replacement from {z: 7, l: 4, u: 4}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 26.798 - 670858?\nAnswer: -670831.202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*g + 39*g + 46*g + 6*g + 2*g.\nAnswer: 98*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 411 and -464.\nAnswer: -190704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**6)**(-23)*(m*m*m**(-2\/19)*m*m)**(1\/33))**(-17) assuming m is positive.\nAnswer: m**(1469684\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 125, 195, 267, 341, 417, 495?\nAnswer: 575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11100111000 + -1111110010110?\nAnswer: -10011011001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 17*q**2 + 34*q. Let m(o) = -o**2. Let g(v) = d(v) + 3*m(v). Find the second derivative of g(y) wrt y.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -109378 - -109377.9. Let g = -11 + 6. Which is the fourth smallest value?  (a) l  (b) -1\/5  (c) 1  (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 1  (b) 0.0295  (c) -29  (d) 0  (e) 3\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.2792 - 6.2792. Which is the biggest value?  (a) -2\/25  (b) -3  (c) 0.2  (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1872421723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -3*h**2 - 511*h + 5034. Give y(10).\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 480 and 22?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2.9897 + 345.0303. Let y = w - 348. Which is the closest to 1\/3?  (a) 1\/10  (b) y  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**6 - 21*g**4 + 19*g**2 + 3*g. Let l(m) = -m**6 + 43*m**4 - 39*m**2 - 7*m. Let b(k) = 4*l(k) + 10*s(k). Find the third derivative of b(v) wrt v.\nAnswer: 720*v**3 - 912*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(1088) + 3*(sqrt(1088) + 0) - (sqrt(1088) - (2*sqrt(1088) + -5)))**2 - ((sqrt(1088) + -1 + -2 - (sqrt(1088) + -1 + 1 + sqrt(1088)))*-5)**2.\nAnswer: -1600*sqrt(17) - 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32 + 255 + 1185*n - 306 + 19.\nAnswer: 1185*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y**3 - 4*y**2 - 7*y. Let m be g(6). Suppose 2*i + i + 3*t = m, -14 = -3*i + t. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80 = 6*n - 10. Calculate the greatest common divisor of n and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 13\/642?\nAnswer: 13\/642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (25*(-3)\/12)\/((-8)\/(-1824)*57)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2771 + 16495\/6. Find the common denominator of 2 + -2 - 207\/6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -48?  (a) 0.9  (b) 1  (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 657 is divided by 25?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = -n + 1163 + 4138, -5*n - 5*l = -26565. Let k = -3472 + n. Suppose 2*s + k = 2*a, 0*s - 2*s - 2761 = -3*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 2853 + 96 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*k**3 + 21 - 47 + 5*k**3 - 25*k**2 + 26 as f + x*k**2 + g*k + b*k**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 27, 3, -2 in decreasing order.\nAnswer: 27, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2047 in -1\/4, 3\/5, 0?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*h = -14*h + 122. Let v = h + 63. Suppose -5*m = v*p - 143, 5*m = -5*p + 197 + 138. What is the greatest common factor of 16 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g**3 - 12*g**2 + 3*g - 7. Suppose -1042 = -49*z + 3025. Calculate the remainder when z is divided by u(12).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -567, -1941, -4223, -7413?\nAnswer: -11511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 180 and 84.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {r: 5, c: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 83413, 83350, 83267, 83170, 83065, 82958?\n\"Answer: d**3 - 16*d**2 - 22*d + 83450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 164490 divided by -10966?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/3  (b) -214  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11\/23041 + -1686855\/10184122. Calculate the common denominator of s and 99\/136.\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fhjghgchggj. Give prob of picking 1 h, 1 f, 1 j, and 1 g.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hdhjhjjdjdhyjhdj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -11268, -3, -8, -4 in increasing order.\nAnswer: -11268, -8, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -4\/259 at least as big as -373?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 105 is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*f = -8*f + 28. Is 28 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 80115 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 * -0.3.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -5*y**2 + 11*y + 3. Suppose 6 + 12 = -2*t - 4*r, 3*r = -t - 10. Let a(w) = -2*w**2 + 5*w + 1. Determine t*a(f) + 3*o(f).\nAnswer: -f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -63, -225, -487, -843, -1287, -1813?\nAnswer: -2415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = d. Suppose n = -d*n + 69. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 36 = j. Suppose 4*k - j = -1. Suppose -2*r - 3*r + k*x = -33, 4*r - 40 = 5*x. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2757734694 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*s + 17*s**2 + 3 + 0*s - 15*s**2 + 9*s**3 to d + t*s + c*s**3 + z*s**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4659 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 3299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*w**2 + w**2 - 2*w**2)*(696*w + 2441*w - 4*w).\nAnswer: -3133*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*k = 23*k + 11. Suppose 0 = 2*h + 5*x + 6, -5*h + x + k = -1. Suppose 3*l + 3*g + 10 = -8, -10 = l + 3*g. Put 1, l, h in increasing order.\nAnswer: l, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1221 + 1220. What is the closest to 1 in 3\/7, 4, i?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, -1, -2, -0.05797, -0.2 in ascending order.\nAnswer: -2, -1, -0.5, -0.2, -0.05797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -3*o**3 + 3*o**2 + 2*o. Let g(r) = 6*r**3 - 7*r**2 - 4*r. Let w(y) = -5*a(y) - 2*g(y). Let u be w(-1). Sort -4, u, 1.\nAnswer: -4, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.1 and 4393913.\nAnswer: -439391.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 39 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n\/(n*n\/(n\/(n**(-6)*n))*n)*n\/n**(-2\/15))\/(n*n**(-9)\/n*n**3\/n))**(-20))**(-45) assuming n is positive.\nAnswer: n**10920","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**3 + 2*d**2 + 9*d. Let g be l(4). What is the hundreds digit of 521\/5 + g\/(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -5, 2\/9, 5\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (2 + 3)\/((-5)\/(-5800000)). What is t rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(n*n\/(n*n*(n*((n**(-1\/13)\/n*n)\/n*n)\/n*n)\/n*n)*n*n)*n*n*n*n\/((n**(2\/11)\/n)\/n))**(2\/21) assuming n is positive.\nAnswer: n**(1642\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2837*t**4 + 63*t**2 + 9*t - 27087576 wrt t.\nAnswer: -11348*t**3 + 126*t + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5 - -8. Let d(q) = -4*q - 6 + 7*q - 8*q**2 - 2*q**a + 3*q**2 + 3*q**3. Suppose -60 = -13*s + s. Calculate d(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11)\/(231\/(-18))*((-380)\/(-40))\/(-19).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10011011100110 (base 2) to base 6.\nAnswer: 114034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 20983879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*s - 3*s + s)*(0 + 0 - 1 + (2 + 3 - 4)*(-2 + 1 + 0) + 5 + 0 - 2) in the form r + o*s and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 527 = 13607*z - 13638*z for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 152239358?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in 152, -0.4, 3\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2.995 - -2.929. Which is the second biggest value?  (a) -1\/6  (b) 3\/4  (c) -2  (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from yyyyyaaayyy?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 127*r - 1 + 112*r.\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 46, 4775, -3, 11 in descending order.\nAnswer: 4775, 46, 11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*g + i + 23, -4*g - 509*i - 4 = -510*i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of c*i**3*k + 6*c*i**3 - 3*c*i**2*k - c*k - 2*c + 7702*i**3*k - 3*i**3 - 3*i**2 - 9*k + 42 wrt i?\nAnswer: 6*c*k + 36*c + 46212*k - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:49 PM and 3:56 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (22 + ((-95931)\/(-88))\/(-51))\/(2\/80)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the first derivative of v**3\/3 - 3*v**2\/2 - 16*v + 1847. Give o(11).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**2 + 7*i + 19. Calculate the remainder when v(-7) is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.2774 - -0.7774. Put 1\/11, i, 1\/30 in ascending order.\nAnswer: 1\/30, 1\/11, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52823014 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 1 - 13)*(-v**3 + 0*v**3 + 2*v**3 + 4 - 4 - v**3 + (0*v**3 + 4*v**3 - v**3)*(-2 + 2 + 2)) in the form r*v**2 + i + w*v + t*v**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1389, 11596, 39309, 93282, 182269, 315024, 500301?\nAnswer: 746854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11963 - 430801\/36. What is the common denominator of 31\/1593 and m?\nAnswer: 6372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/231 at most as big as -0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 7564 and 1140.\nAnswer: 2155740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000501315 to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*v**2 - 4*v**2 - v**2)*(3*v**2 - 2 + 2 + (0*v + 2*v + 5*v)*(3*v - 2*v + 0*v) + v**2 + 3*v**2 - v**2 - 14*v**2 + 9*v - 21*v + 12*v).\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 8 = 12. Let d = -7 + s. Suppose 3*q - 3*g = 8*q - 25, d*q = g + 15. Solve 0 = q*n + 2 + 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 24636, 49345, 74056, 98769?\n\"Answer: z**2 + 24706*z - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v - v + v)*(-5 - 1 + 4)*(2*v**2 + 9*v**2 + 0*v**2 + 2*v**2 + 2*v**2 - 3*v**2 + 0*v**2 - 3*v**2 + 2*v**2 + (0 + v + 0)*(-v + 3*v - 4*v))*(-1 - v + 1).\nAnswer: -18*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 85351.72ug to tonnes.\nAnswer: 0.00000008535172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 75278538 to the power of 1\/4, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3648*i**2*m**3 - 1713*i**2*m**2 wrt m?\nAnswer: 21888*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 - (4 - (4 + (0 - 3))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -5a895 (base 14) to base 7\nAnswer: -1610645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 122069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {f: 6, c: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -113*q**3 + q**2 + q + 1. Let h be b(-1). Suppose 111*s - h*s - 9 = 0. What is the third biggest value in 1, -0.4, 4, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence phhm when four letters picked without replacement from {p: 9, x: 1, m: 4, h: 2, b: 1}?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3500061.\nAnswer: 3, 1166687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 3\/25 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 73660234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 4*j = -14 + 6, -4*a + 44 = -3*j. Suppose 0 = 5*p - b - 130, -4*b = 7*p - a*p + 7. What is the highest common factor of 675 and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(192) + 2 + (sqrt(300) + (sqrt(300) - (sqrt(300) - (sqrt(300) + -1*sqrt(300)) - sqrt(300)))**2 + sqrt(300))*-5.\nAnswer: -1497 - 92*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ookkk. What is prob of sequence kko?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -47 - -47. Let p(b) be the first derivative of v*b**4 + 0*b + 1 + 0*b**2 - 3\/5*b**5 + b**3. Find the third derivative of p(k) wrt k.\nAnswer: -72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8*l**3 + 43*l**2 + l**3 + l**3 - 155*l**2 wrt l.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 = -2*w + 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - -4 - (0 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - 20) + (77 - 4) - 7.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 640\/12 + (-6)\/(-9). Let s be c\/(-36)*4\/(-6). Solve 0*a + a = -s for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -v - 3*c + 2, 2*v = c + 4 + 7 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*i**2 + 2*i**2 - i**2)*(0 + 0 + 2*i**3) + 4*i**3 - 4*i**3 - 6*i**5 + i**4.\nAnswer: -10*i**5 + i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -18*d**2. Let n(j) = -156*j. Determine n(f(r)).\nAnswer: 2808*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 3625128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 3*k. Let a(o) be the third derivative of 0*o - 1\/8*o**4 - 23*o**2 + 0*o**3 + 0. Give a(t(x)).\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 2*b**2 - 34*b + 2364. Let o(w) = -w**2. Give f(o(n)).\nAnswer: 2*n**4 + 34*n**2 + 2364","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 692 minutes before 10:55 AM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the second derivative of j**4\/6 + j**3\/6 + 7*j**2\/2 - 5*j. Let z(n) be the first derivative of s(n). What is the derivative of z(x) wrt x?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 12777, 13039, 13291, 13527, 13741, 13927?\n\"Answer: -c**3 + c**2 + 266*c + 12511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1122 and 4?\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -93*l**2*m**3*o + 4*l**2*m**3 + 2*l**2 - 1858*l*m**2*o + 2*l*m**2 + 2*m**3*o - m**2 wrt m?\nAnswer: -558*l**2*o + 24*l**2 + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l**(-1\/2))\/l)**48\/(l**(-3\/4)\/l**(-5)) assuming l is positive.\nAnswer: l**(-113\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {x: 3, h: 15}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -117\/10 and 13\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 22904 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: Differentiate 5596*a**3*s - 3*a**3 - 2*a*s**2 - 3112 with respect to s.\nAnswer: 5596*a**3 - 4*a*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1626242 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*q - 0*q - 4*r + 770, 1909 = 5*q + 2*r. Let d = q + -176. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 3626*b**2 + 1 + b**3 - 1219*b**2 to k*b**2 + g*b**3 + f*b + x and give k.\nAnswer: 2407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1914802453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -184.73 + 185. Which is the biggest value?  (a) i  (b) 4  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 56\/35 + (-3)\/5. Let m be (-10)\/(-5) + k*2. Suppose 32 = 4*c + m*j, c = -0*c - 3*j + 8. Calculate the smallest common multiple of 18 and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/2 less than 837?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3e3e (base 16) in base 11?\nAnswer: 10a76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k**2 + 141720*k + 1673713200 = 0 for k.\nAnswer: -23620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7099*b = -259054 - 22893 + 5086 for b.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 1 - 5*r + 2 + 371*r**2 - 370*r**2. Suppose 2*o = 4*h - 8, 2 - 1 = 5*o - 3*h. Let j be (o*-1)\/((-2)\/3). Determine g(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 663065730 divided by -17145?\nAnswer: -38674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z\/(z\/z**(-2\/7))*(z**(1\/3)\/z)\/z)**(-1\/5))**39 assuming z is positive.\nAnswer: z**(52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4368 and 5893744?\nAnswer: 1608992112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -4*k**2 + 106*k + 426. Calculate a(30).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9 - -4. Suppose -l*u + 7755 = -8*u. Suppose -3*r = -u - 1710. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 2*n**4 - 2*n**3 + 2*n**2 - 1. Let g(d) = -d**3 + d**2 - 1. Let w(z) = -2*g(z) + v(z). Find the first derivative of w(o) wrt o.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 + 6. Suppose w*d + 2*d = 260. Suppose -4*n - 54 = -d. Calculate the greatest common factor of 133 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5353, -10696, -16039?\nAnswer: -21382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -29 * 11.8.\nAnswer: -342.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 - (0 + 4 + -2 + -50 + 57).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add 157351925583 and -0.025.\nAnswer: 157351925582.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (191 + -1)*((-10)\/(-8) + -1) and -5\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0  (b) 5.5  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5*(1\/6)\/(12\/36).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 - 3 - (2 - (-10 + 7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 4\/9319?\nAnswer: 4\/9319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**3 - 4*g**2 - 8*g - 13. Suppose -57 = 16*d - 9. Calculate s(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m + 3*o - 1 = -12, -4*o = -12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -92055\/4 - -23014. What is h in 5\/4 + 3\/2*h + t*h**2 = 0?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((w**1)**27)**(-3\/16))**(-43))**(-10\/19) assuming w is positive.\nAnswer: w**(-17415\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -45*o - 19*o - 180*o - 132*o - 92*o.\nAnswer: -468*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14358*d + 191427 + 71354 + 401156 = -39605 for d.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the third derivative of 462*m**6\/5 - m**5\/60 + m**4\/12 - m**3\/6 - 2*m**2. Let o be c(1). Let h = -988 + o. What is h rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 191590197?\nAnswer: 3, 103, 620033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zxezem. What is prob of sequence xm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 5*j - 6. Let u be b(2). Find f such that 2\/3*f**3 + 2\/9*f**5 - 2\/3*f**u + 0 - 2\/9*f**2 + 0*f = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 4*m = m + 6, 4*u + 4*m + 20 = 0. Let p = -2.2 + 2. Which is the nearest to -0.1?  (a) p  (b) u  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 271934642?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 270 + -3?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2419*k**3 + 4841*k**3 + 2*k - 2419*k**3.\nAnswer: 3*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (3\/18)\/(1\/4). Let t = 148\/99 + -14\/11. Suppose -2*s - 3*v - 5 = 3*s, -3*s - 5*v = -13. Which is the third smallest value?  (a) s  (b) t  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -7*j + 128. What is the lowest common multiple of j and 224?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*k - 25*k = 2*o - 41, 3*k = 4*o + 35. Let l(d) = 6*d - 17. Calculate l(k).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 882, 1916, 3280, 5136, 7646, 10972, 15276, 20720?\nAnswer: 27466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r**3 + 7*r**2 - 9*r - 5. Let c be q(-8). Let f(i) = i**2 + i**2 - 7*i**2 + i**c - 6*i. Let v be f(6). Put -3, v, -4 in descending order.\nAnswer: v, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most as big as -28\/48235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 63\/52 and -1\/36932.\nAnswer: 480116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the third derivative of -r**5\/10 + r**2. Let c(x) = 10*x**2. Give c(d(p)).\nAnswer: 360*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50*i + 28 = 46*i. Let u be (1\/(-2))\/(2\/(-8)). Let x be u\/(i\/((-42)\/4)). Which is the second smallest value?  (a) -0.5  (b) x  (c) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5c32 + 3bc?\nAnswer: -5854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -37885\/73 - -519. Put 0.1, j, -1\/2, -3 in increasing order.\nAnswer: -3, -1\/2, j, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -6  (b) -2\/5  (c) -7\/6  (d) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 142 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 37691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 284*s + 17*s**3 - 1118*s**3 + 22*s - 306*s - 433*s**3.\nAnswer: -1534*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 less than or equal to 1418\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**2\/2 - 19*n + 504.\nAnswer: -(n - 18)*(n + 56)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21 = 3*w - 9, 0 = -5*v - 2*w + 57 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -413, -1472, -2919, -4496, -5945?\n\"Answer: 43*l**3 - 452*l**2 - 4*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2339595?\nAnswer: 3, 5, 51991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2\/3 - 11\/12. Which is the smallest value?  (a) -2  (b) k  (c) 1  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**3 - 4*a**2 + a + 1. Let u be x(-4). Let q(k) be the first derivative of k**4\/4 + 2*k**3\/3 - k**2 - 6. Calculate q(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b - b + 2*b. Let c be (12\/(-8))\/((-3)\/4). Let v(z) = c*z + 59 - 59. Determine v(o(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -3*j**3 + j**2 - j + 1. Let r be w(1). Let t = 0.24 - 0.4. Let k = t + 0.06. What is the closest to k in -3\/2, r, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -3*w + 27. Suppose -2*s + 24 = 5*y + 2*s, 5*y - 18 = 2*s. Suppose y - 31 = -3*o. Let m be v(o). Solve m = -b - 1 + 5 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 536213 < 536213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 398 is divided by 258.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 574 = 5*s - 786. What are the prime factors of s?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 + -1. Let a = 4452 - 4442. What is the nearest to y in -4\/3, -5, a?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40414107 a multiple of 331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the first derivative of o**3\/3 + 5*o**2 - 22*o + 3. Is s(-13) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**7\/((p\/(p\/(p*p*p*p**(3\/8)*p)))\/p) assuming p is positive.\nAnswer: p**(29\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 692 minutes before 6:13 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -122494*-0.5\nAnswer: 61247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 5  (b) 2\/29  (c) 12\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((75\/10)\/((-63)\/(-196)))\/((-1)\/(-6)). Solve 139*q = m*q - 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 283 - 33?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/3 + 50\/75. Let x(q) = 2*q**2 - 7*q + 5. Let l(z) = z**2 - 3*z + 2. Let u(g) = h*x(g) - 5*l(g). Calculate u(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2356, 2359, 2372, 2401, 2452, 2531, 2644?\nAnswer: 2797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 8, -53, 189, 5, -1 in descending order.\nAnswer: 189, 8, 5, 4, -1, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 164 - 164. Solve 0 = -q - m*q - 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -2\/501789?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 11 or -64?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -17*b + 21. Let v(l) = -8*l + 10. Let i(c) = -4*q(c) + 9*v(c). Let t = 1 - -3. What is i(t)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5114187 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m - 2*m + 3*m)*(-69693*m**3 + 34844*m**3 + 34846*m**3 + 908).\nAnswer: 3*m**4 - 908*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 5 = 1. Suppose -401 - 1014 = -5*m. Suppose n*p - 98 - m = -z, 4*p - 759 = -3*z. What is p rounded to the nearest 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4\/101 - 295\/202. Which is the closest to r?  (a) 4  (b) 0  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -250, -3, 50 in increasing order.\nAnswer: -250, -3, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, t: 2, v: 1, b: 1, g: 2}. Give prob of picking 1 t and 1 h.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b + 122 - 110 = 5*a, -5*a + 4*b = 12 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -177 + 443. Let k = i + -264. Is -8\/5 less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -119 - -246?\nAnswer: 12a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 69 + -66. Let o(k) = 10*k**2 + 0 - 4 - 3*k**2 - 5*k - k**z. Let l = 15 + -9. Calculate o(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 5 = -17. Let u = b - 2. Suppose -85 = -p - u*p. Calculate the remainder when 31 is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**2 - 11. Let y(k) = 1. Let l be (-2)\/(-1)*(136\/16 + -8). Suppose 2*f = -f + 9. Let a(i) = f*y(i) + l*h(i). What is the derivative of a(p) wrt p?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.22 - 1.62. What is the biggest value in l, -2\/9, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3535*s = -1655*s - 1724*s + 15756 for s.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5.7 + -5.6. What is the biggest value in l, -3, -1\/11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14240 != 14240?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1687212.668 minus -0.1?\nAnswer: 1687212.768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the first derivative of 3*q**4\/8 - 9*q**3\/2 - 57*q**2 + 126*q + 568. Determine u so that h(u) = 0.\nAnswer: -6, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 3*v - 8. Let c(y) = 54*y - 6 + 5 + 15 - 59*y. Let w(j) = -4*c(j) - 7*g(j). Let s(a) = -97*a**2 + 2*a. What is s(w(b))?\nAnswer: -97*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45*u = -9 - 126 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*i - 28 = -52 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let 70*d**4\/9 - 22*d**3\/9 - 124*d**2\/9 - 32*d\/9 = 0. Calculate d.\nAnswer: -1, -2\/7, 0, 8\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -4714, -8044, -11374, -14704?\n\"Answer: -3330*m - 1384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 134.965 - 1.865. Let n = a - 131. Round n to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1*(45\/30)\/(-4 - -10). Let v = 12 + -17. What is the third biggest value in v, 17, a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 10\/65 - (-48)\/26. Solve -12 = s*d + 3*j, d + 0*j + 8 = -2*j for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**3 + 4*m**2 - 4*m + 3. Let z be (1 - -8)*(-6)\/(-18). Let f be x(z). Suppose q + f*q = w, q + 10 = -w. Put 3, 4, w in descending order.\nAnswer: 4, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(2\/7)\/(p\/((p\/p**(-1\/5))\/p)))\/((p\/p**(1\/4))\/((p\/p**(-3\/2)*p)\/p)))\/((p*p*p**3)**(6\/13))**50 assuming p is positive.\nAnswer: p**(-207751\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 98255962 - 340?\nAnswer: 98255622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 13963 = 4*r + 6*h, 3*h + 15 = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 6*n**2 - 26*n + 89. Let t be s(4). Solve -9*q = 45 - t for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x + 259 - 257 = -2*c, -c = -2*x for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 * 0.0565.\nAnswer: -0.1695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 20 = -2*c, 0 = -2*r + r + 5*c - 23. Suppose -2*z + r = -t, -4*z + z = -4*t + 2. Solve 3*g + 4*b - 6 - 1 = 0, 2*b - 6 = -z*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 3 = -17. Let c(t) = 3*t**3 + 12*t**2 - 87*t - 92*t + 177*t - 2. Let g(l) = 5*l**3 + 25*l**2 - 5*l - 5. Let v(z) = p*c(z) + 2*g(z). Factor v(y).\nAnswer: -5*y**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 + 18 = 5*l. Solve 2 = l*u - 3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 433 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -38778 by -6.\nAnswer: 6463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -153\/218680 and -97\/88?\nAnswer: 218680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 5 + 1 + (196\/(-21))\/(15\/9)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51.7579 centimeters in kilometers?\nAnswer: 0.000517579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 81.08191km to micrometers.\nAnswer: 81081910000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22586000 is divided by 231?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/6 in 1\/7, -2\/11, 3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -35210000 rounded to the nearest 1000000?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 120.8*-625.\nAnswer: -75500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y**3 - 5*y**2 - 4*y + 4. Let p be d(5). Let v = 35 + p. List the prime factors of v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -5366.\nAnswer: -1\/2683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59049*m + 24 = -2*q + 59047*m, 3*m = -4*q - 53 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -4*2*(-4)\/16. Let c(i) = -2*i + 20*i**t - 19*i**2 - 3*i + 14 - 4. What is the tens digit of c(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2136018247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3189121 micrograms to tonnes.\nAnswer: 0.0000000000003189121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*a**2 - a**2 - 62*a**2.\nAnswer: -61*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**0*i)**(-41))**(2\/29)*((i*i\/(i*i\/i**0)*i)\/(i\/(i*i**(-3\/5))))\/(i**4*i*i**0\/i) assuming i is positive.\nAnswer: i**(-932\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0\/((-2)\/4*4). Suppose g = -l + 9 - 4, 5*m = -4*l + 130. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n - 25 = 5*r, -26057*n = 2*r - 26059*n - 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51546*a**3 - 52362*a**3 + 103913*a**3.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u**3 - 7*u**2 + 5*u - 6. Let l(b) = 2*b. Let n be l(14). Let w = 20 - n. What is the tens digit of x(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -5\/4, -2\/30421, -0.02, 1\/2.\nAnswer: -3, -5\/4, -0.02, -2\/30421, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21790?\nAnswer: 2, 5, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -220201112120010 (base 3) to base 14\nAnswer: -1a60487","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28105 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 0*i**2 - i**2 + 9*i + 2*i**2 - 1 - 2*i. What is k(-3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36020*t**3 - 527*t**3 - 4361*t**3.\nAnswer: 31132*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -117033*s**4 + 9*s**3 - 4687589*s**2?\nAnswer: -2808792*s + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = -w - 88723, -4*w - 443613 = 3766*i - 3771*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rx when two letters picked without replacement from {t: 1, h: 2, x: 1, r: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in sixty-one halves of a centimeter?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1 + 5\/15)*129. Let s = 32 + b. Is -53 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -232, -500, -1250, -2722, -5156, -8792, -13870, -20630?\nAnswer: -29312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(-2)*8232\/(-18522).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*k + 4340 = 15*k + 336. Which is bigger: k or -213?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -88.87896 + 89.2. Let d = g - 0.32. Round d to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 137\/24 and -85\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(91) + sqrt(91) + sqrt(91)*1*4)*-3*-2)\/((sqrt(112) - 6*(sqrt(112) + -2*sqrt(112)))*-1).\nAnswer: -9*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 162 + -185.3. Let f = m + 23. Let r = 0.25 - f. Round r to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 26*n - 202. Let m be l(8). Suppose -3*q + q = 0. Suppose q = 3*j - d - 22, 4*j - 28 = 2*d - d. What is the highest common factor of j and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6 - -8. Let f = -8 + 18. Calculate the least common multiple of a and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 54*v - 12 - 49*v - 20 - 38*v as b + g*v and give g.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-4)*u**(-1\/4))**(-6\/23)*(u**(-1\/4)*u**(-1\/2)*u*u)**15 assuming u is positive.\nAnswer: u**(1827\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the first derivative of 4\/3*y**3 + 0*y + 10 + 0*y**2. Let v(u) = 5*u. Determine v(n(d)).\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 179, 246, 315, 386, 459, 534?\n\"Answer: z**2 + 64*z + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 49 a factor of 68575219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -h**2 - 411094567161 - 3*h**2 + 411094567161 + 2*h**2 + 0*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -37*a**2 - 34*a + 17. Let w(o) = 13*o**2 + 12*o - 6. Let k(b) = -6*t(b) - 17*w(b). Let z(x) = -103*x. What is z(k(m))?\nAnswer: -103*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that m**2\/8 + m + 15\/8 = 0.\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 29 + -12. Suppose -966 - 672 = -14*a. What is the remainder when a is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*r**4 - 336*r**3 - 344*r**2 + 336*r + 340.\nAnswer: 4*(r - 85)*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes before 9:11 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -10*o + 56. Calculate k(11).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 - -6. Suppose -2*h + 3*h = 4. Suppose -q + 2*u = -4, 2*u + 16 = h*q - 0*u. What is the remainder when i is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -248 = -16*l - 122955*s + 122953*s, 76 = 4*l + 4*s for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -198 = -56*h - 1262. Let k = -17 - -19. Let a be (0\/(-2))\/((-4)\/k). Sort a, -3, h in descending order.\nAnswer: a, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - -6 - (823 - 789)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 220213*m - 3 - 213896*m + 5 in the form v*m + r and give v.\nAnswer: 6317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 9*g**3*l**3 - 233*g**3*l + 91889*g**3 wrt l.\nAnswer: 27*g**3*l**2 - 233*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 73\/69976155 and -139\/12.\nAnswer: 279904620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4 + -3)*(-1)\/(-1). Let n be p*(1 + -2) + 4. Suppose l - n*o = 2*o + 34, 0 = 3*o + 3. Solve 0*i = -4*i - 5*t - l, 2*i + 7 = -t for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-2 + 1 + 2)*(0 + 3 - 2) - 3 + 0 - 1)*(15*w + 6*w + 4*w) to p + x*w and give x.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 291996 is divided by 46.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 3, l: 5}. What is prob of picking 1 l and 3 u?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -1, -3, 4 in increasing order.\nAnswer: -4, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the third derivative of -t**6\/120 - 7*t**5\/60 - t**4\/4 + 7*t**3\/6 - 56*t**2. Give q(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 8) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 148 divide 15421304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -71 = 67*t + 359 + 173 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**2\/2 + 1071766*o + 574341179378.\nAnswer: (o + 1071766)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**2 - 12*u + 13. Let m be v(-12). Suppose 0*x + 3*x - 6*x = 0. Solve 4*o - 11 = -o - 3*f, -5*o - 4*f + m = x for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7319.6 - -7320. Which is the second smallest value?  (a) h  (b) -16  (c) 2\/7  (d) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 556902119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4754.\nAnswer: 2, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 153\/6 - 1\/(-2). Let y(f) = 6*f + 4. Let r be y(3). Let w = z - r. Solve -2*i + 6 = -w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0037539 rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -18313\/21990 - 2\/3665. Which is the smallest value?  (a) 7  (b) w  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63 = 5*d - 4*d. Suppose 342 = -8*x + 5*x. Let s = d - x. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 31bb (base 12) to base 5.\nAnswer: 133341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 7490634 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the third derivative of c**6\/120 - 2*c**5\/15 + 7*c**3\/2 - 5*c**2. What is the tens digit of n(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 22216, 28072, 37840, 51526, 69136, 90676, 116152?\nAnswer: 145570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1537129772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*y - 77 - 3 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -51\/1010 and 77\/681238839?\nAnswer: 6812388390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3808 and 2568608?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*l**2 + 114808*l + 1647609608.\nAnswer: 2*(l + 28702)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 325 = 100. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 87334844?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0*(-2)\/(-2 + 0). Suppose 2*s + z*s = 0. Suppose 14*m - 82 = 310. Solve -3*y = 2*n - 18, s = 4*y + 3*n + n - m for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 5090 or 5087?\nAnswer: 5090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9430470.\nAnswer: 2, 3, 5, 7, 14969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lllalalllall. Give prob of sequence alaa.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 334233100 to the nearest integer?\nAnswer: 18282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 divided by -109987?\nAnswer: 9\/109987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 215643606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s**2 + 4*s + 0 + 3 - 2*s. Suppose 3*n = -3 - 3. Calculate g(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1485 or 1486?\nAnswer: 1485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-78)\/546)\/(1*-1*1)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1950.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6.11 - -388.89. Let k = w + -136. Let t = k - 258.646. What is t rounded to 2 dps?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(1\/16)\/(m**(-22)\/m)*(m\/(m*(m**(4\/9)*m)\/m)*m)**(3\/41) assuming m is positive.\nAnswer: m**(45467\/1968)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(3\/4)*o)\/o**(8\/3) assuming o is positive.\nAnswer: o**(-11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*h**4 + 0*h**2 + 0*h**2 + (-54 + 7 + 9)*(0*h**4 + 3*h**4 - 4*h**4) as g*h**3 + y*h**2 + q + x*h**4 + m*h and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 27, 2\/11, 8, -4, 3, -1\/2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -1, 5*w - 3*n = 4193 - 166. Calculate the greatest common divisor of w and 832.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u + 2*y = 0, 6*u + 63 = 3879*y - 3882*y for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4.4 + -4. Let m be (0 + -1)*(-42)\/231. What is the smallest value in m, j, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2051170.02 to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -53*q - 851. Calculate w(-51).\nAnswer: 1852","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2182 + 31372?\nAnswer: 33564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1536, -11684, -39236, -92892, -181352?\nAnswer: -313316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (488\/(-288))\/(3 - 7\/2) and -53\/52.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 60 and 0.477.\nAnswer: 28.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-7738)\/(-1590) - 3\/(90\/(-4)). Solve -w*n + 6*n = -4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 54, 3, -5, 33 in increasing order.\nAnswer: -5, 1, 3, 33, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -2*k + 2. Let z = -39 - -79. Suppose 5*u + z = -5. Suppose -m = m + 4. Let q(s) = 8*s - 9. Determine m*q(n) + u*l(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 222 divided by 25852?\nAnswer: 111\/12926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*c + 6*c + 19*c)*(7*c - 29*c + 4*c)*(0*c - 2*c + 0*c) to the form p*c + r*c**2 + y*c**3 + o and give y.\nAnswer: 756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -432\/7 - 12980\/7*i**2 + 4744\/7*i - 242\/7*i**3 = 0?\nAnswer: -54, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t. Let g(i) = 19*i - 2*i - 10*i - 12*i - 7*i. Give g(x(d)).\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -57*p + 45. Let q be t(6). Let l = -163 - q. What is the remainder when l is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = 2*y - 22, 5*t = 5*y - 4*y + 24. Let k(q) = -6*q**2 - 2*q + 1. Determine k(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1854, -1943, -2162, -2577, -3254?\nAnswer: -4259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 132\/(-330) + (-152)\/(-330) - (-122)\/(-924).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 920*d**3 + 70. Let x(o) = 40*o**3 + 3. What is 3*n(i) - 70*x(i)?\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 2, -5, -1, 3.\nAnswer: -7, -5, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -13*r - 33 + 3*r - 28*r + 8. Is v(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 47, 34, -35, -166, -365, -638?\n\"Answer: -b**3 - 22*b**2 + 60*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -39912 by 3.\nAnswer: -13304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -c + 2*c - 4*c + (-3158 + 37*c + 3158 + (-1 - 2 + 4)*(1 - 1 + 2*c))*(-3 - 1 - 1) + (-2*c + 6*c - 2*c)*(-1 + 2 - 3) - 2 + 2*c + 2.\nAnswer: -200*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -331 or -333?\nAnswer: -333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -4*t - 8. Let y be m(-3). Suppose 2*r + 2 = y*h, 4*r + 9 + 8 = -5*h. Sort 13, 0, r in decreasing order.\nAnswer: 13, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (125\/(-4))\/((-850)\/(-1360))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -448 divided by -1.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4675 divided by -1555.\nAnswer: -935\/311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -15*m**3 - 7*m**2 - 20*m + 7. Let s(d) = 5*d**3 + 2*d**2 + 7*d - 2. Let r(i) = -2*p(i) - 7*s(i). What is the second derivative of r(x) wrt x?\nAnswer: -30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29960 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 36 and 5360.\nAnswer: 48240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-142)\/17111 + (-26070)\/(-5061).\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 192, 381, 570?\n\"Answer: 189*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-5)\/(-10))\/(((-55)\/20)\/(-11)). Let z(p) = p. Let t(k) = 30*k. Give q*t(d) - 50*z(d).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1892, 15163, 51222, 121463, 237280, 410067?\nAnswer: 651218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -33.7 times -35.91?\nAnswer: 1210.167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.3 + 1.3. Let c = 0.3 - 6.3. Let s = c + l. What is the nearest to 0.2 in 1\/5, 0.4, s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 319404176?\nAnswer: 2, 7, 13, 219371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -10262 - -122155. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 0 + (0 + sqrt(208) + sqrt(208) + (sqrt(208)*2 - sqrt(208))**2 + ((0 + sqrt(1573))**2*1 - sqrt(1573)))*6.\nAnswer: -18*sqrt(13) + 10681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + 4 + -2 + -5 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 104 and 78.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 10080596 < 10080591?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 214954 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6*a*g*l**4 + 2*a*l**4 - 2*a*l**2 - 3*g*l**4 + 67*g wrt l?\nAnswer: -144*a*g*l + 48*a*l - 72*g*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.3 + -1.7. Suppose -24*m - 15 = -19*m. Which is smaller: v or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*h*u**4 + 2*h*u**3 - 321*h*u + 2*h + 10*u**4 - 34*u**3 + 2*u**2 wrt u?\nAnswer: -72*h*u + 12*h + 240*u - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 13) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 194*q**2 + 6310*q + 2057075?\nAnswer: 388*q + 6310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -195*q = -2082 - 1038 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -3 + 244*(-4)\/(-8) is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -2251 and 95588910?\nAnswer: 95591161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 74950*a**2 + 67897*a wrt a.\nAnswer: 149900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1148 or 0?\nAnswer: -1148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*q + 72 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 113178, 113237, 113336, 113475, 113654?\n\"Answer: 20*g**2 - g + 113159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -6*i**3 - 9*i**2 + 4*i. Let p(d) = d**3 + d**2 - d + 1. Let g(y) = -5*p(y) - q(y). Let j be g(-3). Does 6 divide 27 - ((j - 1) + -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/40 and 7\/8537135?\nAnswer: 68297080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 455 - 455 - 44*i**2 to p*i**2 + j + y*i and give p.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -72, -104, -150, -216, -308, -432, -594?\n\"Answer: -r**3 - r**2 - 22*r - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 15 and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 13833 to the power of 1\/2, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 1859553025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 78 is divided by 33?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 81 + -80. Let j be (t - 12\/16)\/(6\/(-24)). Which is the nearest to -15?  (a) 4  (b) 0.2  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -11.9 + 12. Let x = -0.16 + -11.84. Let i = -1107 - -1106. Which is the nearest to x?  (a) n  (b) -2  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -2*s**2 + 161*s - 2291. Suppose 0 = -4*b + b - 4*y + 127, 0 = -2*y + 8. Calculate the remainder when j(32) is divided by b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhhhhhdhhhhhd. What is prob of sequence ddhh?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47*t - 156*t + 64*t + 49*t + 2 + 33*t.\nAnswer: 37*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 35744804 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 44 or -1\/48?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2 - -b1?\nAnswer: b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 172500 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 133*q + 2011. Let h(k) = -47*k - 671. What is 6*g(p) + 17*h(p)?\nAnswer: -p + 659","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -182822 in -0.5, 23, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 23104572 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 603124 and 21484.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -w**3 - 6*w**2 - 7*w - 35. Let g be y(-6). Let j be ((-2)\/(-3) - 1)*(g - 3). What is the closest to -2\/7 in -3, -0.5, j, -31?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/5 of a centimeter in millimeters?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.024 - -201.\nAnswer: 200.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -10598, -10401, -10208, -10019, -9834, -9653?\n\"Answer: -2*z**2 + 203*z - 10799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 y when two letters picked without replacement from qqqryqqys?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -3, -132, 218, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 + 111010021?\nAnswer: 111010020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1178281?\nAnswer: 13, 233, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -4, 4*y + 633 = -5*b + 4*b. Let h = 671 + b. Solve -h*q = -39*q - 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 63 divide 6363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 49 + -34. Let i = 19 - j. Suppose 5*o = -2*k + 16, 4*k = -0*o + 4*o + i. Solve 0*v = -2*v + 4*a - 22, -3*v - k*a = -3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50878 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 444 minutes after 12:44 PM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = m - 3*a, 2*a = 5*m - 0*a + 3. What is the units digit of -4*-3*m - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1892000 to the nearest 10000.\nAnswer: 1890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p**2 - 9*p + 4. What is the units digit of l(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 123042 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 59 = -2*g, -3*g + 78*u - 82*u = -96. Suppose a - 145 = -5*r + g, 2*a + 3*r = 318. Calculate the remainder when a is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*q - q - 4*q)*(1 + 3 + 94*q - 91*q).\nAnswer: 3*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 65\/777 and 107\/942020.\nAnswer: 19782420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -g**3 + 13*g**2 - 16*g + 37. Let x be o(12). What is the remainder when 194 is divided by x\/((-88)\/192) + 1?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 7 + -6 - (1 - 4). Suppose -2*x + 8 = -y, y + 4*y = o*x - 22. Solve -4*j - 22 = -n, -x*n - 2*j = 5 - 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-16)\/(j\/(j\/(j\/j**(-4\/17)))*j) assuming j is positive.\nAnswer: j**(-310\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 473 minutes before 12:23 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f + 89 = 4*o, -4*f + 1185*o - 168 = 1192*o for f.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence juu when three letters picked without replacement from xpjpuxx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 less than -35.151?\nAnswer: -29.151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 + 7. Let d(p) = -p**3 + 6*p**2 - 5*p + 4. What is the tens digit of d(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2717400 divided by 525\nAnswer: 5176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gnhhnwgnhhnhwhnhhhw. What is prob of picking 1 g and 1 w?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-3) + 0)\/((-199)\/((-2153976)\/176))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000289 to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -250683\/20 + 12537. Calculate the common denominator of l and -73\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the third derivative of 3599*f**6\/120 + 101*f**5\/4 + 4092*f**2. What is the third derivative of x(z) wrt z?\nAnswer: 21594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1238*t**3 + t**2 + 1243*t**3 - 10*t**4 - 6*t**2 to z*t + l*t**2 + y*t**3 + j + b*t**4 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 6762206317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**3 - 3*a**2 - 9*a - 2. What is the units digit of w(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.059 and 2729?\nAnswer: -161.011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 minutes before 3:41 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1528.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 10 = 0, 9 = 2*t - 2*y - 13. Suppose -k + 5*w + 144 = 0, 0 = -3*k - t*w + w + 332. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11 - 6 + 6)*(44 + 4 - 29 - 10*b).\nAnswer: -110*b + 209","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 279714?\nAnswer: 2, 3, 46619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 56*p**3 + 4*p + 2*p**2 - 135 + 5*p + 0*p.\nAnswer: 56*p**3 + 2*p**2 + 9*p - 135","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = 5*i - 242. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/5 >= -987?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1276391191?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -58600 to the nearest 1000.\nAnswer: -59000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h + 17. Let f(l) = -l**2 - 16*l - 14. Let k be f(-11). Suppose x + 47 = 6*x + 2*n, -4*x - 5*n = -k. What is the units digit of j(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gggytyitnrgniygngnt. What is prob of picking 1 n, 1 y, and 1 g?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-136 - (81 + -212)) + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ufiaufifuifmff. What is prob of sequence fiu?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(847) + sqrt(847) + 4 + sqrt(847) + -2 + sqrt(847).\nAnswer: 2 + 44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 4 + 7 = 0. Let x(h) = 208*h - 963. Let q be x(5). Calculate the greatest common divisor of s and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.4 or 2334?\nAnswer: 2334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -20 in -5\/6, 2, -0.3, -0.1, -4.226?\nAnswer: -4.226","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**3 - 14*n**2 + n + 15. Let x be t(-14). Let u = 12 - x. Put u, -4, -5 in decreasing order.\nAnswer: u, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1270856\/(-27017545) + (-2 - 216\/(-106)).\nAnswer: -2\/215","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of j*p + 27*j*q**2 + 121*j*q + j - p*q**2 + 3*p*q - 14*q**2 wrt q.\nAnswer: 54*j - 2*p - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r\/(r*(r\/r**(1\/16))\/r)*r))\/r**4)\/((r**(4\/7)\/r*r)\/r**(-1\/2)) assuming r is positive.\nAnswer: r**(-575\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (40\/30)\/(6\/(-9)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 38578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Are 3140 and 3146 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -145\/888 and -73\/61272.\nAnswer: 61272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 13.318, -0.151, -225?\nAnswer: -0.151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 7*w**3 + 12*w**2 + 15*w + 1. Let o(j) = -13*j**3 - 23*j**2 - 29*j - 2. Let t(k) = 6*o(k) + 11*z(k). Is t(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -286, -2789, -9578, -22795, -44582, -77081?\n\"Answer: -357*k**3 - k**2 - k + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-96)\/40*80\/3. Let y be k\/(-28) - (-4)\/(-14). Let q(b) = b + 11. Let s be q(-7). Solve t = 2*c, -y*c = -s*t - t + 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-80)\/195)\/((-36)\/4 + 200\/24). Solve 0 - g*j + 10\/13*j**2 + 2\/13*j**5 - 10\/13*j**4 + 6\/13*j**3 = 0 for j.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 3*l**3 - 78*l**2 - 195*l - 104. Let o(n) = n**3 - 38*n**2 - 97*n - 52. Let a(r) = -5*o(r) + 3*s(r). Determine q so that a(q) = 0.\nAnswer: -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 380\/55 + -13 + 6?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 204.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 550 and 166200.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 98 and 22141.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -p**4 + 3*p**4 + 0*p**4 + (-27*p**2 - 6*p**2 - 11*p**2)*(-p**2 + p**2 - 3*p**2).\nAnswer: 134*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 103 a factor of 181392373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the second derivative of -c**4\/12 + c**3 - c**2 - 6*c. Let w be d(5). Sort 2, -1, w in decreasing order.\nAnswer: w, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 27415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 2*l + 8 = 0, 8 = 5*h + 2*l - 0*l. Let g = -3 + 4. Let v be -1 - (14*g)\/(-2). Solve -2*p + v*p - 20 = h for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/(-4)*(-2 + 4)*-6. Let u(t) = 25 - 7*t + s*t - 23. Suppose f = -3*z - z + 19, -5*f + 38 = z. Determine u(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7215530557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -128 - -127.99999794. What is b rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*k**3 - 3*k**4 - 3 - k**4 - 700*k**2 - 3*k + 700*k**2 as x*k**4 + c*k**3 + h*k**2 + q + o*k and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3\/(-1)*(-5)\/(-3). Let q(c) = -c**3 - 6*c**2 + 2*c - 6. Let n be q(w). Let o = -57 - n. Which is smaller: -17 or o?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 9 and 1893.\nAnswer: 5679","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -729067821 or -729067820?\nAnswer: -729067821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 191*x - 254. Give y(5).\nAnswer: 701","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 9, f: 7}. Give prob of picking 3 d and 1 f.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-20)\/14*(-4000878)\/(-158765)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4211878, 4211865, 4211852, 4211839?\nAnswer: 4211826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -12, -58, 5, 19, -11, -1 in decreasing order.\nAnswer: 19, 5, 2, -1, -11, -12, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3015?\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23432248.\nAnswer: 2, 7, 37, 43, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**3\/9 + 400*x**2\/9 - 1214*x\/9 + 812\/9.\nAnswer: 2*(x - 2)*(x - 1)*(x + 203)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 3*d**2 - 12*d - 12. Let z be p(9). Suppose -4*h = -523 + z. Is h a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -167929, -167930, -167931, -167932, -167933?\n\"Answer: -w - 167928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (13\/((-2275)\/40))\/((-4)\/10)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 52 - 82. Let h be (-42)\/(-14) + (0 - s). What is the second derivative of 9*p + 62*p**3 - h*p**3 - 26*p**3 wrt p?\nAnswer: 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**2 - 4*p - 23. Let x be n(17). Let v = x - 52. Is 28 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the third derivative of g**5\/120 + 5*g**4\/16 + 7*g**3\/6 + 2*g**2 - 1. Factor y(j).\nAnswer: (j + 1)*(j + 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in 33, 1\/3, 0.071?\nAnswer: 0.071","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 5, -1, 4 in decreasing order.\nAnswer: 5, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2624 + 22?\nAnswer: -2602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 2*y = -4*j + 5, 5*y = -25. Put 0, -5, 1, j in decreasing order.\nAnswer: j, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4*4\/(-6))\/(28\/42). Suppose k*v - 6002 = 1658. Suppose -17676 = -4*a + 2*d, 0 = -3*a + 4*d + 11332 + v. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/60*(-10)\/(-4). Let f = 6.86 - 1.86. Let k = -1.94 - 0.06. What is the closest to k in w, f, 0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 58 and -8.9.\nAnswer: -516.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**2 - 15*s + 9. Suppose 0 = 3*p + 4*m + 31, -4*p + 4*m = 3*m + 35. Let z = p + -6. Let j be l(z). Solve -g - t + 1 = 0, -4*t + j*t = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -74*a**2. Let z(i) = -3*i. Give j(z(f)).\nAnswer: -666*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 97238766?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 230 and 322.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 2*o + 2. Suppose 2*n - 16 = -0*n. Suppose 0 = m - v - 3*v - 14, -n = 2*v. Calculate w(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -38259565838 - 2.861\nAnswer: -38259565840.861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 2*l**2 - 7*l. Is u(6) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 divided by 1?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 623 divide 143674391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 76 and 54617267?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -p. Let i(l) = -7*l + 0*l - 7*l + 9*l. Let q(x) = -2*i(x) + 11*v(x). Let s(w) = 2*w. Give s(q(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -44*l + 44*l - 8*l**2. Let j(f) = 5*f. What is v(j(d))?\nAnswer: -200*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -309 - -1847\/6. Let v be -21 + 25 + (-146036)\/(-18). Let c = -8109 + v. What is the common denominator of c and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/293679 or -1?\nAnswer: 2\/293679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13526440, 27052885, 40579330, 54105775?\nAnswer: 67632220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -277 - -281. Is r greater than or equal to 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 37724 (base 9) to base 6\nAnswer: 313251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -44*t + 43*t - 39 - 39 + 21 to the form d*t + c and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -256 - -124.3. Let l = b + 124. Round l to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 110 divided by 14900.\nAnswer: 11\/1490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-4)\/n*n**(1\/3))\/(n**4\/n**(2\/11)) assuming n is positive.\nAnswer: n**(-280\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1792 = 5*c - c. Let g = -159 + 236. Let f be (-2)\/(-11) - c\/g. Solve 12 = f*y - 2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 167 - 8078?\nAnswer: -7811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fffwwff. What is prob of sequence ffww?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = w**3 - w**2 - 2. Let t be u(3). Let y(g) be the second derivative of 11*g**3\/6 + 2*g**2 - 10*g + 23. What are the prime factors of y(t)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.28 + -0.18. Let m = -0.1 + z. Let v = -2 + 1. What is the nearest to 0.1 in m, -0.4, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.6389311ml?\nAnswer: 0.0006389311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 - -18. Suppose 2*k - 6*k + x = 1, 2*x = 4*k - 2. Calculate the remainder when (-1)\/4*188\/k is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 16074 and 8246.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -774*u - 4348 - 32030 for u.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 4*d**2 + 4*d**2 - 3*d**2 + d**2. Let f(a) = 2*a**2. What is h(f(l))?\nAnswer: 24*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 48*h**2 - 844*h - 365. Calculate a(18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 360 and 6860.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 0 - 2 + 8 + 300*f**2 - 11*f - 305*f**2 - 3. Let y(c) = -6*c**2 - 12*c + 4. Calculate -5*s(j) + 4*y(j).\nAnswer: j**2 + 7*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 2*q**3 - 3*q**2 + 2*q - 1. Let g be u(2). Suppose 6*b = 4*b. Suppose b = 4*m - 8, 3*k + 4 = g*m - 2*m. Solve -k*f = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 115600*t + 114006.\nAnswer: 115600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the second derivative of -b**7\/42 + 308*b**6\/15 - 35574*b**5\/5 + 3652264*b**4\/3 - 281224328*b**3\/3 + 44*b - 21. Factor y(a).\nAnswer: -a*(a - 154)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the third derivative of -1\/120*v**6 + 0*v + 1\/12*v**4 - 1\/3*v**3 + 1\/40*v**5 - 3*v**2 - 1\/420*v**7 + 0. Factor o(y).\nAnswer: -(y - 1)**2*(y + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-11)\/(22\/984) + -3. Let t = -179 - w. Does 37 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/13391, 0.4, 1.4?\nAnswer: 2\/13391","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 11 + 35 = -4*s, -4*q - 21 = 5*s. Let f = -33.19 + 36.9. Let r = -0.29 - f. Sort q, r, 0.4.\nAnswer: r, 0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 52 + -58. Does 14 divide (-1690)\/(-15) - (8\/r)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-2 - 2*c + 2)*(-14*c**2 - 67 + 67) - 2*c**3 - 2*c**3 + 6*c**3)*(30*c - 8 + 31*c - 60*c) as r*c + x*c**4 + u*c**3 + b + p*c**2 and give x.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 2, y: 1, v: 1, o: 3}. What is prob of picking 1 o and 2 l?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 3, r: 1, h: 1}. What is prob of picking 1 r and 2 f?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1779, -4197, -6615, -9033?\nAnswer: -11451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2*(-1)\/13 - 2500\/(-26) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-432)\/(-2520)*20\/6?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the second derivative of -2*x**7\/105 - x**6\/30 + 2*x**5\/15 + 46*x**2 + 16*x + 6. Let c(g) be the first derivative of i(g). What is q in c(q) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 192 and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-3*sqrt(75) + 0)**2 - (sqrt(36)\/((sqrt(12) - sqrt(72)\/sqrt(6)) + sqrt(12)) - (((-3*sqrt(9))\/sqrt(3))**2 - sqrt(3))).\nAnswer: -2*sqrt(3) + 702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l\/l**0)\/l)\/(l\/((l\/(l**2\/l))\/l)*l)*l**2\/l**(1\/2))**0 assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 72506 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 7480*g**2. Let r be d(1). Suppose -186*c + 175*c = -r. List the prime factors of c.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -992744 + 1657744. Suppose 5*a = -4*j + g, -2*j = 7*a - 3*a - 532000. What is a rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express g**3 - 4*g**2 + 0*g**2 - 2*g**3 + 3*g**3 in the form z*g**3 + f + w*g + y*g**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 10129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -11 in 2, -5, 0.2, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2744301.7 - 0.4.\nAnswer: -2744302.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2563.\nAnswer: 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1212145381?\nAnswer: 1212145381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:22 PM and 9:36 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = -4*c + 79, c - 1 + 5 = 4*t. Let o be 0*4\/c - 0. Solve -r + 6*r + 20 = o for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 59975 is divided by 1764?\nAnswer: 1763","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 18534 + -18468. Let y(w) = -w - 3. Let p be y(-4). Let g(i) = 44*i**2 - i + 1. Let j be g(p). What is the greatest common factor of j and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 5, 0.3, -2, 0.11, -4\/121753?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**3 + 7*b**2 - 7*b - 19. Determine i(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -53 - -49. Let r(c) = 21 - 56 + c**2 - 42 - 4*c. Let g be r(-7). Put k, g, 1 in descending order.\nAnswer: 1, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s - 9. Suppose -10*i = -9 - 21. Suppose -6*g + 7 = -i*g + o, -4*o = -2*g + 14. What is m(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 214128 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10310211 + 1000222?\nAnswer: -3303323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 107*x - 112*x. Which is the closest to -1\/4?  (a) 1\/5  (b) x  (c) 8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4.08 - -0.08. Let y = 67 + -62.7. Let v = y + w. Which is the biggest value?  (a) -2  (b) v  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1936)*-3)\/(sqrt(8) - (sqrt(8) - (sqrt(48)\/sqrt(6) - sqrt(8)))*-4).\nAnswer: -33*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes before 5:43 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 306621963?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-65)\/26 + (-6)\/(-4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 2, h: 1, z: 7}. What is prob of picking 3 i and 1 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the third derivative of k**6\/600 - k**5\/150 - k**4\/30 + 4*k**3\/15 - 4*k**2. Find p such that w(p) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = d + 2. Suppose -3*i + 0*i + 28 = 2*o, -2*o = -d*i - 12. Suppose -5*l = -69 - o. Is l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 557906 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/m**(-7))\/m*((m**(-2)*m)\/m*m)\/m)**(-2\/85)*((m\/m**2)\/m**(-1\/7))\/(m**1\/((m\/(m\/m**(-1\/3)))\/m)) assuming m is positive.\nAnswer: m**(-1181\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y, 1 x, and 1 i when four letters picked without replacement from xyyxyxxixyyyiyx?\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -615 at least as big as -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1 + -3. Let i be ((-204)\/12)\/((-1088)\/256). What is the closest to 22 in 1\/3, i, a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and -12\/35081467 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*v**3 - 3018*v**2 - 1445454*v - 212685254.\nAnswer: -2*(v + 283)*(v + 613)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 913343 and 5858?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c**3 + 893*c**2 + 848*c + 757272. Calculate z(-893).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 39195.92ml?\nAnswer: 39.19592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**3 + 7*m**2 - 34*m - 4. Let g be d(-10). Let s = -32 - -44. What is the common denominator of -23\/8 and (-24)\/g + (-169)\/s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 1487*j + 16353. Calculate o(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7637*w**2 + 2550*w**2 + 2544*w**2 + 2557*w**2.\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -6*b**3 + 4*b**2 - 18*b - 4. Let q(x) = -2*x - x**3 + 51 + x - 50. Let j(s) = p(s) - 8*q(s). Determine a, given that j(a) = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 395378680 is divided by 131792886.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (27 + -32)*4*(-7 + 0). Let c(f) = f**3 - 6*f**2 - 3*f - 8. Let i be c(7). What is the greatest common divisor of o and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**2 - 5*b + 2. Let l(k) = -k**3 - k**2 - k - 3. Let a be l(-2). Calculate g(a).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o + 2*o = 0. Suppose -4*s + 11 + 9 = o. Calculate the greatest common factor of s and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3202.224 weeks to days.\nAnswer: 22415.568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -32186 * -0.9.\nAnswer: 28967.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 7183002587 to the power of 1\/5, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -2  (b) -5  (c) -324  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t**2 + 8*t + 20. Suppose -9*w - w = 40. Let b be x(w). Let f(k) = 6*k - 16. Let l be f(b). Which is greater: 2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {y: 2, m: 6, s: 3, j: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 3*g - 24 = 4*y, -g + 4*y = -22. Let o be (-80)\/(-35) + (-4)\/14. Let t be (429999 - g - -1) + o. What is t rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 15911 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-23)\/((-208380)\/75))\/(65\/104).\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1\/((-3)\/9)*(-17)\/51*6949?\nAnswer: 6949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-16)\/(-40)*(-5)\/(-18). Which is the second smallest value?  (a) 5  (b) 2  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-100)\/(-42)*2607\/17380\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/((j*j**(1\/11))\/j)*(j\/(j\/(j**(2\/5)\/j)))\/j)\/((j\/(j\/j**0))\/(j\/(j*j*j\/(j\/j**(-2\/15))*j))) assuming j is positive.\nAnswer: j**(-422\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 28339 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -859 and 8?\nAnswer: -6872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) 6\/607  (b) -1\/2  (c) 7  (d) 0.03  (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is l in -3*l**3 - 6*l**2 + 63*l - 54 = 0?\nAnswer: -6, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0144788952 to six dps.\nAnswer: -0.014479","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*4*(sqrt(133) - 6*(sqrt(133) - sqrt(133)*3 - sqrt(133)))\/(sqrt(1008)*3)*5.\nAnswer: -95*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 110*d - 3. Let g be a(4). Let m = -260 + g. What are the prime factors of m\/6 + 2\/4?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x**2 - 8*x + 23. Let s be p(-11). Let t = 16 + s. Let a(k) = -3 + t - 2*k + k - 5. Calculate a(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0 - 0. Let i = -396 + 399. Let k(j) = -4*j - 3 - j**2 + i*j + 4 - 7. Give k(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 2*g**2 + 3*g + 14. Let b(l) be the third derivative of -l**5\/60 - l**4\/12 - 7*l**3\/6 - 2*l**2 + 519*l. What is 7*b(s) + 4*z(s)?\nAnswer: s**2 - 2*s + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the first derivative of m**6\/780 + 2*m**5\/65 + 4*m**4\/13 + 64*m**3\/39 + 5*m**2\/2 - 2. Let t(n) be the second derivative of s(n). Factor t(f).\nAnswer: 2*(f + 4)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(((-8)\/16)\/(2\/(-3)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2 - 1)*(3 - (2 + -2)). Suppose 0 = -2*p + 2*t + 106, -31 - 158 = -3*p - n*t. What is the remainder when p is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1804242209?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*o + 21 + 2*o - 19 to the form y*o + s and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 4607382847 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 2\/3, -7.\nAnswer: -7, -3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 24*g + 2269 = 27*g, -2267 = -c - 5*g. What are the prime factors of c?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 31647142*t**2 - 3877705*t?\nAnswer: 63294284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -276, -976, -2138, -3750, -5800, -8276?\nAnswer: -11166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4024301*p**2 - 4336240 with respect to p.\nAnswer: -8048602*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -0.2*1654\nAnswer: -330.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 410501718, 821003438, 1231505158, 1642006878, 2052508598?\nAnswer: 2463010318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 839189.2709 to the nearest 10.\nAnswer: 839190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9 + 13. Let v = 7263\/22 - 330. Calculate the common denominator of v and u\/18 - 339\/(-54).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - x - 303 = 0. Suppose 7*q = 4*q + x. What are the prime factors of q?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 2, u: 3}. Give prob of picking 2 u.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/12 + (-46)\/(-12). Suppose s - 3*f - 9 = 0, s - o*s + 9 = -3*f. Factor -2\/5*g**4 + s*g**3 - 2\/5 + 4\/5*g**2 + 0*g.\nAnswer: -2*(g - 1)**2*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4401 - 1357?\nAnswer: -5758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17392402.\nAnswer: 2, 29, 101, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 194848 + -1363892\/7. Determine a so that -16\/7 + 128\/7*a**3 + 60\/7*a**4 - 128\/7*a - j*a**2 = 0.\nAnswer: -2, -1, -2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-7*(-2)\/(-4740))\/((-53)\/(-5247)*-11). Which is smaller: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -26.88 - -27. Let h = 0.22 - p. What is the third smallest value in h, 0.4, 1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -365299415 divided by -1235?\nAnswer: 295789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 190 by -30.\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*f + f + d + 305, 4*f + d = 625. List the prime factors of f.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**3\/9 - 32*j**2\/9 + 61*j\/9 - 10\/3.\nAnswer: (j - 30)*(j - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((1*sqrt(420))\/sqrt(12) - sqrt(70)\/sqrt(2)*-1)\/((-4*1*sqrt(84))\/sqrt(12)).\nAnswer: -4 - sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 + 20?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 33461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 80175528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10100110000 + -111001001?\nAnswer: -11011111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**2 - 155*d - 474. Let p be w(-3). Are p and 12 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*u + 2*u - 4*a + 8, -17 = -5*u - 3*a. What is the common denominator of (u\/(-14))\/((-60)\/875) and 28?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from woro. What is prob of sequence owo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 0.05951 times 7288\nAnswer: 433.70888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 3422354 (base 9) in base 6?\nAnswer: 103315251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 991.\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3011784 by -5619.\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 153 + 70. Suppose -4*t = -5*o + 1253, 2*o - 717 = 4*t - w. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3468*b - 3376*b - 3246 = 1170 for b.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 98912 is divided by 24726?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 + 6 = -4*x. Solve -2*v + x*z = -16, -20 = 3*v - 5*v + 5*z for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = -5*w - 2*t, 4*w + 4*t - 6 = w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -1*(sqrt(2) + sqrt(6)\/sqrt(3) + sqrt(2) - sqrt(2))**2 - (-1 + sqrt(2) + sqrt(2) + (sqrt(48)\/sqrt(6))**2).\nAnswer: -17 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 116 + -105. Solve 12*c - 1 = q*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8bdc (base 16) to base 6.\nAnswer: -433432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 20841275051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 73 a factor of 42632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by -46\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -61*g - 370. Let r be v(-6). Put 1710, 4, r in increasing order.\nAnswer: r, 4, 1710","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 5 + (1 + sqrt(72))*-3 + (5*(0 + sqrt(72)) + sqrt(72) - (-3*(sqrt(72) + -1) - sqrt(72)))*2)**2.\nAnswer: -816*sqrt(2) + 20824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -247.7057019 to zero decimal places.\nAnswer: -248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l - 3 = 2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 53 - 47. Let w = z + -24. Let l = 17.99999963 + w. Round l to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1523324 (base 7) in base 15?\nAnswer: -41805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve b**4\/4 - 6389425*b**3\/2 + 63894233*b**2\/4 - 25557691*b + 12778845 = 0.\nAnswer: 1, 2, 12778845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 2*z**2 + 17*z + 1. Let s be k(-9). Suppose -74 = -r + s. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fjjl when four letters picked without replacement from {l: 1, z: 4, f: 6, j: 2, s: 2, p: 2}.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -242 + 240. Let p = -6.3 + 0.3. Let t = -11 - p. Which is the smallest value?  (a) f  (b) 0.5  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -9 - -21. Let t be -4*(-7)\/((-7)\/2). Let o = t + g. Is o even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -341400452 by -2.\nAnswer: 170700226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.42 + 0.58. Is 1\/3 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 17\/14976 and -157\/441168.\nAnswer: 10588032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1 and -0.302.\nAnswer: 0.698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) -383  (b) 6\/61  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 18*v - 28. Calculate k(9).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (4 - 6) - (-2 + 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 - -1)*(2 - (-1 + 4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a**3 - 16*a**2 + 2*a + 7. Let t be g(-16). Let p be (-5)\/t - 881\/5. Let n = p + 295. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m + m + 15 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 0, 9, 40, 105, 216, 385, 624?\nAnswer: 945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 446, 444, 442, 440, 438, 436?\n\"Answer: -2*i + 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6\/17, 4, -1, 1.5, -5.\nAnswer: -5, -1, 6\/17, 1.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 419 - 417. What is the closest to -2\/7 in -8\/25, b, -3?\nAnswer: -8\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 868 divide 2676912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(1\/8)*k)\/k*k**10\/k*((k\/(k*k**(-3\/4)\/k)*k)\/k*k*k)**(-11\/6) assuming k is positive.\nAnswer: k**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five quarters of a millennium in decades?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v**2 - 4*v**2 + 4*v**2 - 4*v - 3*v**2 = 0. What is v?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 87*t**5 + 318*t**3 - 46*t**2 + 2133996*t - 5 wrt t.\nAnswer: 1740*t**3 + 1908*t - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*v + 10 - 10.\nAnswer: -11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(624) - sqrt(624)*-1) + sqrt(624) + sqrt(624) + 6*(sqrt(156)\/sqrt(4) + sqrt(39)))\/(-4*-2*sqrt(30)\/sqrt(10)) + -4.\nAnswer: -4 + 7*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20643878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2217 + 3?\nAnswer: -2214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.47, 0, 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -9*m + 9 - 2 + 28*m wrt m?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 4, s: 3}. What is prob of picking 3 w?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -8790093?\nAnswer: 4\/8790093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that -2*i**5\/7 - 8*i**4\/7 + 20*i**3\/7 + 128*i**2\/7 + 174*i\/7 + 72\/7 = 0.\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4695 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(11) + (sqrt(396) - sqrt(396)*-1)**2 - (((sqrt(176))**2 - sqrt(11)) + 3).\nAnswer: 2*sqrt(11) + 1405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6884 divided by 16403?\nAnswer: 6884\/16403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -47\/72291333 and 7\/1268269.\nAnswer: 72291333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i = 5*g - 4, 3*i + 103 = 3*g + 79 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*a + 33 = 14*a. Suppose 3*r - 6 = 0, 2*v - 3*r - 22 = -0*v. Is (-42)\/v*a*-1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.82 in -0.2, -1\/2, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/(5\/2 + -2). Suppose y*w = -5*v + 47, -28 - 7 = -4*w - v. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2*y**2 - 2)*(0*y**2 + y**2 - 2*y**2) + (-5*y + 5*y + 4*y**3)*(-78*y + 308*y - 126*y).\nAnswer: 414*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*r**3 + 0 + 15*r**3 + 2 - 12*r**3.\nAnswer: 13*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(-6)*1*(-5)\/2.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 3, w: 6, q: 3, s: 3, r: 2}. What is prob of sequence swqq?\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 66 + -33. Let y be i\/22*(-1 + 2). Factor 9\/2*o**2 + 0 + 3\/2*o**4 - y*o - 9\/2*o**3.\nAnswer: 3*o*(o - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3211230331310 - -2?\nAnswer: -3211230331302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.2 + -1. Suppose 4*g = -2*j + 10, 3*g = 2*g - 4*j + 13. Let i be (g\/(-2))\/((-6)\/(-24)). Which is the third biggest value?  (a) w  (b) 2  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -5*o**5 + 30*o**4 - 5*o**3 - 120*o**2 - 80*o = 0?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (20\/3)\/5*(-27)\/(99\/(-11))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1443, -672, 615, 2418, 4737?\nAnswer: 7572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 2, i: 5, p: 6, q: 2, e: 1}. What is prob of picking 1 p, 1 e, and 1 q?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in -7\/2, -4, -3, -2528, 3\/65?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 529369, 529344, 529301, 529240, 529161?\nAnswer: 529064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -69\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16516033?\nAnswer: 337, 49009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -150640, -150651, -150680, -150733, -150816, -150935?\nAnswer: -151096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 2*s. Let z(t) = -572*t**2 - 12*t - 3. Let i(y) = -y**2 - 4*y - 1. Let b(h) = -3*i(h) + z(h). Determine b(q(v)).\nAnswer: -2276*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sccx when four letters picked without replacement from xxcxxcxssxsccxsc.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1423, -2795, -4081, -5239, -6227, -7003, -7525, -7751?\n\"Answer: 7*p**3 + p**2 - 1424*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x**3 + x - 2. Let d(g) = -125*g**3 + 3*g**2 - 4*g + 12. What is d(k) + 5*n(k)?\nAnswer: -130*k**3 + 3*k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-1*(-18)\/12)\/(95\/(-380))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1768403, -1768419, -1768435?\nAnswer: -1768451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a = -5*q - 2, 7*q - 2*q + 26 = -4*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -e9 + -40?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6837, 13697, 20599, 27543, 34529, 41557, 48627?\nAnswer: 55739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 726 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 3831, 3, -3, 4, -1 in increasing order.\nAnswer: -3, -1, 3, 4, 3831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*w - 5*f + 104, 0 = -6*f + f + 20. Let j = w + -64. Let d = 40 - j. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 15376?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -6762 divided by -2254?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(66) - sqrt(66)*-2)*4)\/sqrt(6).\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-698721)\/(-20) - 1\/20?\nAnswer: 2, 11, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 95*x - 53*x - 18 - 44*x. Let a be d(-10). Suppose -25 = 3*w + 2*w, a*w = -3*t + 272. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -5*b - 3. Let r(z) = 6*z + 2. Let l(c) = -2*g(c) - 3*r(c). Let q be l(-1). Let d(j) = -j**2 - 24*j - 105. Let w be d(-6). Solve w*p - q = 5*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17755876.\nAnswer: 2, 461, 9629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 183*x - 33. Let v(t) = -23*t + 4. What is 4*m(d) + 33*v(d)?\nAnswer: -27*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.9619785 millilitres?\nAnswer: 0.0009619785","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 291649292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 3\/50 of a second?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*t + 42*t + 8*t + 6*t.\nAnswer: 35*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 3*g + 2 = 0. What is the derivative of -2*i**4 - 15*i**g + 15*i**2 - 8 + 2 wrt i?\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 306566 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -9011, -18042, -27089, -36158, -45255, -54386?\n\"Answer: -c**3 - 2*c**2 - 9018*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 45630*l + 45635. What is c(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = u**3 - 4*u**2 + 3. Suppose 10*m - 5*m - 25 = 0. Suppose 4*o + 7*s = 2*s + 31, -o = -3*s + m. Let y be k(o). Put y, -4, -3 in ascending order.\nAnswer: -4, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -442 - 9d?\nAnswer: -4e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 13648 or 13645?\nAnswer: 13648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-628832)\/(-11810708) + 2\/(-182).\nAnswer: 3\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 407 a factor of 46178469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -633 = 20*g - 3733. Suppose -14*f - g = -3865. List the prime factors of f.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 113 = -i, -4*i + 0 = 4. Let b = 21 - d. Let h be 3*(21\/9)\/b. What is the third smallest value in h, -0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -133 + 331. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 2, q: 11}. What is prob of picking 4 q?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the third derivative of 7*o**5\/30 + 5*o**4\/24 + 13*o**3\/6 + o**2 - 53*o. List the prime factors of z(-4).\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -0.2  (b) -5  (c) 1305\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*j - 5*j + 3*j + 16 + 6*j - 16 + (-3*j + 2*j - j)*(8 + 3 - 3) to the form p + b*j and give b.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7.45 - 0.55. Which is the second smallest value?  (a) 0.1  (b) i  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 86, 172, 284, 434, 634?\nAnswer: 896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*r + 15 = -15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in d - 10*d + 6*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/3 of a hour in minutes?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 0.06  (b) -7\/10  (c) -2\/13  (d) -11.27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -c9 + ce?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 160 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - (-6 + 7)) + (2 - 16)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1*250)\/((-28)\/(-28)). Let o = f + 601. List the prime factors of o.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -97*m - 1937. Let k be v(-20). Let t(h) be the first derivative of -5\/4*h**4 - 12 + 0*h**2 + 0*h + 5\/3*h**k. Suppose t(x) = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a**2 + 1508*a - 181588. Determine r(132).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 146\/(-6) - (-19)\/57. What are the prime factors of (-4)\/6 + (-2104)\/u?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5 and 5151780?\nAnswer: 5151780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1 - -120543103?\nAnswer: 120543104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -i**3 + i**2. Let m(s) = 80*s**3 + 296*s**2. Let p = -535 + 536. Let x(v) = p*m(v) - 32*z(v). Find the third derivative of x(g) wrt g.\nAnswer: 672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 11\/8 of a kilogram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/3  (b) -0.3  (c) 0.4  (d) -1  (e) 0  (f) 1846\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = y. Let v(w) = w - 13. Let o(j) = 2*m(j) - v(j). What is the tens digit of o(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4 - -107ba?\nAnswer: 107b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/7)\/((-2)\/(-14)) + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -210*t**5 - 15646*t**4\/9 - 33094*t**3\/9 - 1718*t**2\/3 + 27040*t\/9 - 200\/9 = 0 for t.\nAnswer: -5, -2, 1\/135, 5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a tonne in kilograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 22 - 22.9. Let x = l - -1.3. Let n = x - 1.4. What is the nearest to n in 2\/7, 5, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (-1 + sqrt(468))*-6 + (sqrt(468) + -1)*4)**2 + 3.\nAnswer: -120*sqrt(13) + 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -23, -46, -69, -92, -115?\n\"Answer: -23*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2436 = -3*q + 4*w - 654, 4*w = 0. Is q a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -795.6 + 886. Let w = 87.96 - 8.96. Let g = p - w. What is g rounded to 0 dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-5)\/x)\/(x*x**(-10)*x))**(-50) assuming x is positive.\nAnswer: x**(-100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -11*b - 327 + b**2 + 653 - 316 + 3*b**3. What is the units digit of y(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1357 - 1343. Let c be (-2)\/2 + (-6)\/(-2). Suppose -3*w + c = o, -3*o + 7*w + 62 = 2*w. Calculate the highest common factor of h and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 169808113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 24 + 2919a?\nAnswer: 291be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2f6 (base 16) to base 15.\nAnswer: -358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 164*j - 357 - 2595 = 0 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) -3  (b) 9\/8  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/5 in -0.1, -12, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 888 and 15144?\nAnswer: 560328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(-10)*(-1675)\/134?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 0 - 6 + (-11 + 14 + 11)*(2 - 5 + 0))*(-1 + 0 + 2)*(-2*r - 1 + 1) as k*r + i and give k.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13452 + -24053. Let f = r + 15031. What is f rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 3 q when four letters picked without replacement from {f: 8, q: 8, k: 1}?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 12222100 + -2020?\nAnswer: 12220020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1  (b) 3  (c) 812  (d) -5888\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.9499*-0.02.\nAnswer: -0.038998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 256220 and 21160.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(7488) + sqrt(7488) + 1*sqrt(7488)*2 - ((sqrt(7488) - sqrt(7488)*-2)*4 - sqrt(7488))))**2*-4 + 0.\nAnswer: -5870592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i**3 + 17*i**2 - 44*i + 28. Let m be w(14). Suppose 50*u - 53*u + 24 = m. Calculate the greatest common divisor of 32 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 254*b + 18042. Let n be a(-71). Calculate the highest common divisor of 21400 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 5, 4\/3, 2, -5, -0.01?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -2*n. Let u(o) = 4*o**2 + 2*o + 121. Calculate d(u(z)).\nAnswer: -8*z**2 - 4*z - 242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**28*b)\/b**(2\/29) assuming b is positive.\nAnswer: b**(839\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -648 + 7*c + 648.\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.9 - -1.1. Let o = q + 0.5. Let p = o - 2.5118. Round p to three decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*f*h*r + 11*f*h - 2*f*r - 730*f - 6*h*r + 15*h + 28*r - 2 wrt h?\nAnswer: -2*f*r + 11*f - 6*r + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of ((-1217)\/2)\/((-38)\/76)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21344423 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s**2 + 1452480*s - 263712268800 = 0. What is s?\nAnswer: 363120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 56556.74 centuries in months?\nAnswer: 67868088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the first derivative of -10*f**3\/3 - 17*f**2 - 6. What is the second derivative of v(s) wrt s?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**(-1\/2)*h*h*h*h)\/((h\/(h*h**2))\/h)*(h\/((h\/h**(-4))\/h))\/(h**(-2)\/h) assuming h is positive.\nAnswer: h**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -53.5107452*0.4\nAnswer: -21.40429808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -187 + 1311\/7. What is the nearest to c in 1\/5, 4, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15.19 times 0.137?\nAnswer: 2.08103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -315 at least -29417\/93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 8*s + 17. Let y(g) = -95*g**2. Give y(k(n)).\nAnswer: -6080*n**2 - 25840*n - 27455","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 13) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4401 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36 - 38 + 74 - 3148753*t.\nAnswer: -3148753*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = 4*v - 40. Let k(u) = 2*u**3 - 2*u**2 - u + 1. What is k(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = -y - 3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.18 + -6.18. Let r = 967 - 972.992. Let n = y - r. Round n to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 35 - 33. Solve 0 = h + k + c, 3*h + k - 6 = 2*k for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (0 - (-4)\/(-12))*-3. Let w be 0\/(c + 1) - -196. Suppose 222 = 4*f - 2*d, -4*f - 3*d + w + 31 = 0. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 97604 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: b\"What is the nth term of -858, -1334, -1800, -2250, -2678?\n\"Answer: n**3 - n**2 - 480*n - 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in one twentieth of a micrometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 701, -9, -1185, -2821, -4911, -7449?\nAnswer: -10429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 258103633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the third derivative of -7*t**5\/60 + 10*t**2. Let q(l) = -l. Determine q(y(c)).\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (0 - -1*2) + 2. Factor -r*v**4 - v + 4*v**3 - 4*v**3 + 3*v**4 + v**3 + v**2.\nAnswer: -v*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 540*k. Let i(s) = 1664*s. What is w(i(p))?\nAnswer: 898560*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 417688423*n*s**3*y**2 - 3*n*s**2*y - 79*n + 3265*s**2*y**2 + 3*s**2*y wrt s.\nAnswer: 2506130538*n*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -3*q - 19. Put -3, -1, q in ascending order.\nAnswer: q, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o and 2 a when four letters picked without replacement from aoaaoooo.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 10030 (base 4) in base 10?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 38354, 141975, 314678, 556463, 867330, 1247279, 1696310?\n\"Answer: 34541*j**2 - 2*j + 3815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 4*r = -9, 4*k - 10*r = -12*r + 36. Solve 35 + 0 = -k*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(-1)\/y)**(-11)*y\/(y**0\/y*y)*y*y*y**(2\/7))**(-1\/56) assuming y is positive.\nAnswer: y**(-25\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*l + 4*p + 404, -7 = -2*p - 1. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13244669 - -13244631.000185. Let p = -38 - o. What is p rounded to 5 dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2349, 2333, 10137, 21063?\nAnswer: 35111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -22\/279 and -11\/6?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 130528 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 21*q**2 - 168*q + 3555. Does 40 divide k(23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q + 20 = -q. Let t = -2 - -6. Suppose -8*y = 2*y - 160. Solve -t*z - y = a, -16 = a + a + q*z for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/16 - ((-45)\/24)\/1. Let m(o) = -o**3 - 7*o + 17. Give m(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 151998280*v**3 + 75352853 wrt v?\nAnswer: 455994840*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 75029234*h**2*j - 9*h*j - 653*h + 73*j wrt h.\nAnswer: 150058468*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-161)\/483*(-2)\/4)\/(2\/516)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/3460 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 54717826 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6678125 is divided by 378?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 109340011 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 101 divide 81103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -12*d + 34. Let s be t(-8). Suppose 8*q - 3*q - 260 = 0. Calculate the greatest common factor of s and q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 64 = 2*v, 0 = -d - 10*v + 14*v + 32. Determine q so that -14*q**4 + 3*q**4 + 16*q**3 + 40*q**3 - d*q**2 - 5*q**4 + 4*q**4 = 0.\nAnswer: 0, 2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 65?  (a) 0.85  (b) 1\/2  (c) -0.4  (d) 2\/129  (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 8\/(-68) - (-3218957)\/(-374). Let g = -8612 - j. Calculate the common denominator of g and 4\/(-6) + (-212)\/24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 2*k + v, -8*k - 3*v = -4*k + 18. Solve -4*a - 3117 + 3145 = k for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 699586 to the nearest integer?\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*z + z - 3*z)*(z + z - 3*z) - 5*z + 5*z - z - 4*z**2 to y*z + b + t*z**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-y + 3*y + 0*y)*(-47 + 47 - 5*y) + (1 - 3 + 6)*(y**2 + 4*y**2 - 2*y**2).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -61.389 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1977, 3484, 4861, 6108, 7225, 8212?\nAnswer: 9069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0, -0.1, -2\/73, -0.31, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from exen. What is prob of sequence nx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -537*g + 26946. Determine s(50).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30656.\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((sqrt(200)*-6 + sqrt(2))*6)**2.\nAnswer: 250629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0 + 3 - 6\/(-18)*0. Find the second derivative of 43*h**2 - 7*h - 39*h**2 + a*h**3 - 1 - 4*h**3 wrt h.\nAnswer: -6*h + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 627 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m**(-6)\/m*m)\/m)\/m**2)**(-4\/11)\/(m**(-2\/3)\/(m*m\/((m*m**4*m)\/m)*m))**21 assuming m is positive.\nAnswer: m**(-272\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -759851, -759858, -759865, -759872?\n\"Answer: -7*d - 759844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13, -12, -17, -22, -21, -8?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7 + -2. Suppose 4*i - 20 = -2*p, -c*p = 4*i - 0*p - 20. Solve 4*t = -i + 13 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 191646563 to the nearest integer?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 8\/(-12)*(-35163)\/(-2)*(-615)\/45 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -12317.44 to the nearest ten.\nAnswer: -12320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**2 - 7*z - 6. Let t be q(-5). Let j = -7 - -5. Let o = j - -5. Solve -t*g + 0*p + o*p - 16 = 0, -4*g + 16 = 5*p for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**3 - 13*y**2 - 14*y - 9. Let h(f) = 11*f + 58. Let p be h(-4). What is r(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cccccccpcppppcpp. Give prob of sequence ppp.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the third derivative of -3\/20*q**4 - 1 - 14*q**2 + 0*q - 27\/10*q**3 - 1\/300*q**5. Factor c(t).\nAnswer: -(t + 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = 4*c + 3*y - 1, c = 2*y + 6. Find the common denominator of 2 + 1*71\/50 - c and -89\/50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -178496.5502184 take away 0.037?\nAnswer: -178496.5872184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 35220535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171) + 0)*-1.\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (127 - 136 - (-3 - 74)) + 6.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d**2)**(3\/5))**(-6))**(-11\/6) assuming d is positive.\nAnswer: d**(66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3\/2 or -57843?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -587845*r - 5878444. Give i(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 7 - 5 + 0 - 4 + 3 + (-5 + 3 + 0)*(-4 + 3 + 0))*(0*g**3 - 5*g**3 + g**3).\nAnswer: 24*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j = -3*o, j - 3*o + 1 = -o for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -9*i**3 + i**2 + i - 1. Let m be c(-1). Suppose -4*x + 85 = -3. Is -118*(x\/m)\/((-8)\/16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -8176, -32708, -73594, -130834, -204428?\n\"Answer: -8177*b**2 - b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2 + 27\/36 + (-18)\/(-8). Is 2\/233 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**2 - 3*s - 14. Let c(a) = a**2 + 3*a + 13. Let u(l) = -5*c(l) - 4*m(l). Let g(t) = t**2 + t + 4. What is 5*g(w) + 2*u(w)?\nAnswer: 3*w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i**2\/6 + 9*i + 55\/6 = 0.\nAnswer: -1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 19*r**2 - 8*r + 5. Let p(k) = -39*k**2 + 15*k - 9. Let a(u) = -5*m(u) - 3*p(u). Let f be a(3). Let b = 327 - f. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.3062 to 2 dps.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 32536 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -4*k + 16. Suppose 5*g + k = g. What is the units digit of (-10)\/g*4\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7681549 litres in millilitres?\nAnswer: 768.1549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**2 + 5*g - 7. What is the tens digit of s(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 425193 is divided by 163.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:04 PM and 11:01 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19539 - 208750 = -4*g - z, -2*g + 114137 = 3*z. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -71698, -71544, -71352, -71116, -70830, -70488, -70084, -69612?\n\"Answer: r**3 + 13*r**2 + 108*r - 71820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 8 = 2*k. Let m be k\/(-3 + 1)*-11. Let z = m - 8. Calculate the greatest common divisor of z and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p. Let w(y) = -30025885*y. What is w(u(a))?\nAnswer: 30025885*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -8, 1, 0.5, 189\/8, -0.18, -2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00799413 to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 minutes before 1:57 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 3, k: 2, r: 13}. Give prob of picking 2 k.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*s = 12 - 21 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2 - 112020212?\nAnswer: -112020210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 26 and 42913.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2892*t - 2566*t + 1190*t.\nAnswer: -4268*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 91, 121, 175, 265, 403, 601?\n\"Answer: 2*f**3 + 16*f + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**3 - 15*n**2 + 258*n + 682. Calculate h(-28).\nAnswer: 3650","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**2 - 13*s - 13. Calculate the lowest common multiple of n(-8) and 147.\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 8 - 3 - z + 13.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2 and -47935305?\nAnswer: -95870610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 8\/18*(-123 - -122)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 249*r - 252*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 36 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3301 (base 11) to base 6.\nAnswer: 32101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*f**3*t**2 + f**3*t + 76*f**2 + 1745*f*t**2 + 30 wrt t?\nAnswer: 4*f**3 + 3490*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a**3 + 115*a**2 + 4373*a - 527401. What is m(112)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4102*p**4 - 1987*p**3 + 41391763*p**2?\nAnswer: 98448*p - 11922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 94 is divided by 46 - ((-5)\/5 - 1).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l\/l**(2\/3))*l*l*l*l\/((l*l**(-3))\/l)*l)**(9\/5) assuming l is positive.\nAnswer: l**(78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 4*l - 1404 = -2*t, 0 = 3*t - 3*l - 1077. Does 35 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4 + 34. List the prime factors of q.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the first derivative of -25*h**2 + 0*h**3 + 16*h**4 - 2\/5*h**5 + 0*h + 141. Find the second derivative of i(a) wrt a.\nAnswer: -24*a**2 + 384*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 378*i - 237*i = 564 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x**3 - 7*x**2 - 2*x - 11. Let h be c(-7). Solve 2 = 2*k - h*m + 3, k - 13 = -3*m for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/47  (b) 128  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 14 - (24 + -11) - 8\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - 25) + (-6 - -19) - 38?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/((-54)\/(-32))*(-9)\/18*-18?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1748 - 83909\/48. Let r = 131 - 95. What is the common denominator of 0\/3 - 402\/r and q?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 269152 divided by -20704\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 564818616 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uxxuexxpuxupez. Give prob of picking 2 u, 1 x, and 1 z.\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 23353 and 1507.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 0 + 1 + (-2 - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 8*q + 114. Let g be t(-14). Suppose 2*x - 6113 = -v, -18828 = -g*v + 5*x - 6629. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 143390.\nAnswer: 2, 5, 13, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put together -5620 and -18.782998.\nAnswer: -5638.782998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -211 - -209. Let y be (2 + 136\/(-72))*t. What is the fourth biggest value in 2\/7, 2, -7, y?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of ((-102)\/(-4)*1)\/(10876\/3624 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m = -1 - 24 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10893, -10975, -11057, -11139?\nAnswer: -11221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, v: 1, o: 1, u: 2, b: 2, e: 1}. Give prob of sequence uao.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14)\/((-8)\/(-18)*261\/58)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (0 - -6) + (-17 - (-1 - -3)) + 5\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(-40)*68\/6 - 1\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 131\/120 and -113\/20?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*d - 9*d - 12*d = -18 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 2*i = -2*b + 24, i - 4*b + 12 = 0. Let y(l) = -l**3 - 4*l**2 - l - 1. Is 3 a factor of y(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -10283.17 and 0.1.\nAnswer: -1028.317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 199, 193, 173, 133, 67?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2899 - 1971. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v + l = 5, -15*l = -19*l + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 4, -1, -37, -3 in descending order.\nAnswer: 4, 1, -1, -3, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 157 - 629\/4. What is the second smallest value in -7, g, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 14622, 26658, 38688, 50712?\n\"Answer: -3*d**2 + 12045*d + 2580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c - 5. Let i be u(-5). Suppose i = 11*w - 6*w - 15. Solve -2*r = 4*g + 8, 2*g + 4*r = -7 - w for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 4, l: 5, y: 2}. Give prob of sequence hlhl.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*h**2 - 3*h**2 + 2*h**2)*(-1832 + 774 + 367) in the form o*h + v*h**2 + m and give v.\nAnswer: 691","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 45 + -40. Let d(a) = a + 3 - n + 0*a. Give d(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the first derivative of -2*y**3\/3 - 1. Let w = -7 + 3. Let d(p) = -p**2 + 2. Let b(u) = -2*u**2 + 3. Let a(n) = w*b(n) + 6*d(n). Calculate z(a(j)).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-31 + 40 + 50\/10 + -18)\/((-2)\/(-26))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 4, s: 1, l: 5}. What is prob of picking 2 t?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2700.2365 rounded to the nearest 100?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7047 and 435.\nAnswer: 35235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-551)\/(-8) - (-4)\/32. Let j be 3\/9*(0 + r). Calculate the highest common factor of 253 and j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2989*l - 7712*l + 963090 = 0 for l.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -719*d**2 - 75*d - 118*d + 52*d + 922*d**2 wrt d.\nAnswer: 406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that 2*n**2\/7 - 730550*n\/7 - 1461108\/7 = 0.\nAnswer: -2, 365277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uddcucaiahcc. Give prob of sequence au.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + h = -10*i + 5386, 0 = 5*i + 5. Are -17556\/13 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -713 = 12*z - 845. Solve -z*n + 2*d - 14 = -16*n, 4*d = -5*n + 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = -2*f. Suppose f = n - 3*m + 6*m + 13, -m - 7 = -n. Suppose 5*y = 4*g - 37, -5*y - n + 4 = -g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.38617 * 0.4.\nAnswer: 0.154468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -2*p**2 + 155*p - 84. Determine b(63).\nAnswer: 1743","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*u + u**2 + 0*u)*(18*u - 5*u - 13*u - 51*u**3).\nAnswer: -51*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 164 - 283. Let z = g - -122. Suppose -z*o + 3336 = -2247. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 4*j - j. Suppose 2*y = j*b + 2, 0*b - 5*b + 2*y + 4 = 0. Solve h - 4*p = b + 12, 5*h + 5*p + 30 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 179055946 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -77936 by -19484.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -93*y + 82*y + 385 = 0. Let n(w) = 17*w - y*w - 9*w. Let g(f) = f**2. Calculate g(n(h)).\nAnswer: 729*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -6*l - 10. Let x be s(-3). Suppose 3*h - 7 - x = 0. Suppose 4*j - 4*p = 0, h*j - 8*j + 4*p = 3. Solve 5*k - 29 = j*k + 5*y, k + y = -3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 171 and 2964?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in 1, -1\/6, 0.011, 1\/10?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 11*m**2 - 2*m - 1. Let s(a) = 2*a + 10*a + 5*a - 2*a**3 - 1 - 15*a. Suppose 1 + 4 = 5*q. Let n be s(q). Calculate i(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*s**2 - 6*s**2 + 6*s**2)*(-40 - 16*s + 40) - 4*s + 4*s - 2*s**3 as k*s**2 + l*s**3 + q + x*s and give l.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*i + 3*i - i)*(0*i**3 - 5*i**3 + 3*i**3) + i**4 + i**2 - 91*i**3 + 91*i**3.\nAnswer: -3*i**4 + i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**4\/4 + 34926*w**3 + 1219825476*w**2.\nAnswer: w**2*(w + 69852)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 6706*h + 147428. What is o(-22)?\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12376*u + 18560 + 79456 = 4208*u for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1\/29  (b) -5  (c) -3\/5  (d) -0.44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 17353 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 5\/(10\/(-48)) - 0. Calculate the common denominator of o\/30 - 2\/4 and (-884)\/120 + (-2)\/15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 167 minutes after 2:39 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(40)\/sqrt(5)*-6)\/(2*sqrt(20)\/sqrt(5)).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwjjthhaq. Give prob of sequence wha.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00038894 rounded to 5 dps?\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10 + 8. Suppose 0 = 5*i - 4*p - 2816, 3*p + 168 = -i + 716. Suppose 27*t + i - 2018 = 0. Calculate the greatest common factor of t and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1074 greater than 1071?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.2 - -2.4. Let j = p - 4.3. Let v = 1.1 + j. Which is the second biggest value?  (a) v  (b) -2\/7  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 23220466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28 = 521*j - 522*j for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 + (-15640)\/(-8)*1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10858 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 0, 17759201, -1 in increasing order.\nAnswer: -5, -1, 0, 17759201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 714 minutes before 4:10 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 325\/35 - (-4)\/(-14). Suppose -m = 8*i - 11*i. Suppose i = 16*f - 13*f. What is the highest common divisor of f and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2019394217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1089.301 rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from eeppepepge.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10.15 + 9.737. Round f to 2 decimal places.\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes before 9:18 AM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 71 - -29. Suppose 3*c = -2*o - 51, -5*o - 4*c = -2*c + n. Let m = o - -23. Solve 0 = 5*t + 25, 0 = -5*x - 0*x - m*t - 30 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (30\/8)\/((5459\/103)\/424)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -7, 12, 29, 38, 33?\n\"Answer: -g**3 + 5*g**2 + 11*g - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.4 - 1.39999979. What is b rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (5\/3 + -3)\/(4\/(-6)). Solve -t*q + 0*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1249, -2491, -3733?\n\"Answer: -1242*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.3  (b) -6  (c) -4\/7  (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5741245 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 171*s**3 - 12*s**2 - 5*s - 7. Let x(m) = 257*m**3 - 17*m**2 - 7*m - 10. Give 7*q(n) - 5*x(n).\nAnswer: -88*n**3 + n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 865.607 + -595.86. Let a = -270 + j. Round a to two decimal places.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -13492 + 13529. Solve 3*g - 127 = -5*f - 111, -4*g + 5*f - b = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kjcvi. Give prob of sequence ic.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*q**4 + 4*q**4 + 0*q**4 + (-153*q**3 + 58*q**3 + 74*q**3)*(q - q + 2*q).\nAnswer: -40*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 27494365 and 620.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.90023 - -0.09977. What is the closest to -156 in f, -2\/3, 3, 1\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 17\/231464 and 2.\nAnswer: 231464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -261 + 263. List the prime factors of -5*(0 - (2 + d + 8)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.21 + 0.05. Let j = i - 0.04. Which is the closest to 1?  (a) -0.3  (b) 1  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -37?  (a) -3.398  (b) 11  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w - 3*w + 2*w)*(4 + w - 4) + 0 - 2*w**2 + 0 + 2*w**2 + 4*w**2 + 5*w**2.\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4028?\nAnswer: 2, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 5, -31\/8, 1, -0.2, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, 5, 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 838 - (9\/1)\/(-3). Let j = 1252 - l. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -4, -2, 1, 662, -9 in ascending order.\nAnswer: -9, -5, -4, -2, 1, 662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 308201123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 0 - 1 = 0. Let a = -17.5 + 17. Let g = -0.1 + 0. Put o, g, a in ascending order.\nAnswer: a, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12*y**2 - 20 + 20)*(-y + 3*y - 2*y**3 + 0*y) + y**5 - 2*y**5 + 2*y**5 + (0*y**2 - y**2 + 0*y**2)*(-2 + 2 - 4*y**3).\nAnswer: 29*y**5 - 24*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 488*m - 1004 = 159*m + 78*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -2\/7, -2, 1154?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2212 - -8847\/4. Which is the closest to 1\/7?  (a) -0.4  (b) -5  (c) 3  (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 223 + 10?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:43 AM and 12:38 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-2\/7))**1*(((u*u**0)\/u*u*u*u*u)\/u*u)**(-38) assuming u is positive.\nAnswer: u**(-1066\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -741, -2983, -6723, -11961, -18697, -26931, -36663?\nAnswer: -47893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -3 - 62*r + 67*r - 1. Let b(p) = 11*p - 9. Calculate 4*b(d) - 9*y(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -3*i - 2. Let f be o(-2). Suppose 0*u + 4\/9*u**f + 0*u**2 + 2\/9*u**5 + 2\/9*u**3 + 0 = 0. What is u?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u**2 - 4. Let w(q) = -3*q**2 - 6*q - 7. Let x(m) = 4*l(m) - w(m). Solve x(a) = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 9301 + 3562 = 3*m, 3*m + 5753 = -4*z. Let d = m + 830. List the prime factors of d\/(-15) - (-2)\/3.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zsz when three letters picked without replacement from zzszss.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*c = 1244 - 875 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -36 - -38. Solve -14 = -d - 5*n, -7 = v*d - 3*n + 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + ((sqrt(4)\/sqrt(2))**2 - sqrt(2)))*-2.\nAnswer: -2 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 5*b**2 + 11*b - 14. Let m(r) = 11*r**2 + 22*r - 27. Let x(u) = -13*g(u) + 6*m(u). What is the tens digit of x(18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 161\/2829*828\/322.\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(2430)*-2 + -1*sqrt(2430)*6)\/((sqrt(360) + sqrt(10))*-4 - (-2*sqrt(100))\/sqrt(10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3233.7 + -3233.5. Put -3, -3\/4, 0.03, b in descending order.\nAnswer: b, 0.03, -3\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 117965813 and 1330.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -5bb537 (base 14) in base 8?\nAnswer: -13772375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 193925106 divided by -2\nAnswer: -96962553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2477500.\nAnswer: 2, 5, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 60*a + 152*a**2 + 290*a**2 - 60*a to the form w + m*a**2 + o*a and give m.\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1425.031 + -1423. Let g = r + -2. Round g to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -160 and 44762070411.\nAnswer: 44762070251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6 + 15. Suppose -4*d = -h - 3. Solve d*y = -y - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -348 and 6.46?\nAnswer: 354.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l + 5. Let z(i) = 1. Let m be 0 - (-1 - 1)\/2. Suppose -3*v - 3*y - 24 = v, -12 = 2*v - 2*y. Calculate m*u(j) + v*z(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11.3 + 9.1. Let p = -2.3 - k. Which is smaller: -21\/4 or p?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000178 to 6 dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -12*h - 23. Let c be d(-2). Suppose 0 = -v + c + 3. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -9*h + 4*h + 11, 5*h - 27 = -3*r. Suppose -m = 5*j - 6*m - 20, r*m = -j - 6. Factor 1\/2*a**j + 0 + 1\/2*a.\nAnswer: a*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-27)\/15*20\/(-48))\/6\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 450827 and 1898?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*k + 3*k + 2*k)*(2 + 2 - 2) + 3*k + 0*k - 2*k + 0*k - 2*k + k - 18*k - 262*k - 22*k - 3 + 3 - k + (0 + k + 0)*(0 - 2 + 0).\nAnswer: -301*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = -6*h + 8. Let i be (5\/(-2))\/((-11)\/22). Suppose 3*f = -0*k - i*k + 157, 252 = 4*f - h*k. Is 37 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*-1*sqrt(70))\/(-2*(sqrt(10) - (sqrt(160) + sqrt(10)))))**2*2.\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lic when three letters picked without replacement from {i: 9, l: 3, c: 7}?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -4\/3  (b) 18  (c) 0  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/8)\/(87\/290)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(20) + (sqrt(2420) - sqrt(2420)*-2))*-5.\nAnswer: -680*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 221958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.4 + -1.7. Let l = -25\/3 - -73\/9. Let x be 2\/(-1)*6\/9. What is the smallest value in l, f, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.034 - 7400.383.\nAnswer: -7400.349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -56 - -221\/4. Let r = 19\/33 - 2\/3. Let k = -10.2 + 10. Which is the nearest to j?  (a) 4\/5  (b) k  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/i**(2\/3))**(2\/133)\/(i**(-2)\/i)**33)\/(i**(-3)\/(i\/((i\/((i\/(i*i**(-3\/5)*i*i)*i)\/i*i))\/i))*(i\/(i*i**(-1)))\/i**(-7\/5)) assuming i is positive.\nAnswer: i**(199909\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -5*g - 13. Let p be s(-4). Suppose 23 = x + 5*r, 2*x - 2*r = p*x - 46. Calculate the greatest common divisor of 20 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 212, 215, 220, 227, 236?\n\"Answer: d**2 + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:52 PM and 5:20 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 bigger than -2621.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (28\/(-14))\/((-1)\/3). Suppose -3*x = -4*x - 4*d + j, 76 = 5*x - 3*d. What is the greatest common factor of x and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 12*x**2 - x**2 + 44*x**4 + 65*x**2 wrt x?\nAnswer: 1056*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36546?\nAnswer: 2, 3, 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 889*u - 9778. Give y(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(209)\/(sqrt(121)\/sqrt(396)))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q - 60 + 30 = 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 38, -566, -1170, -1774, -2378, -2982?\nAnswer: -3586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 2*s - 7*s. Let y = -3 - s. Let o be y + (3 - 14\/(-1)). What is the greatest common factor of o and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*o - 326*o**2 - o + 10*o + 104*o**2 - 95*o**2 to the form j*o**2 + y + t*o and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 1260 divide 58998210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 4, i: 7, p: 3, q: 3, n: 1}. Give prob of sequence nv.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/3756 and 19\/16.\nAnswer: 15024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 441.66 - 443. Put -0.3, -1\/8, y in ascending order.\nAnswer: y, -0.3, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*b + 18*b - 30 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 - -224340?\nAnswer: 224340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the second derivative of 5*c**7\/42 + c**6\/3 - 5*c**4\/6 - 5*c**3\/6 - 28*c. Factor q(j).\nAnswer: 5*j*(j - 1)*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = w - 108 - 4. Suppose 5*j + w = 7*j. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7112?\nAnswer: 2, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12 (base 6) to base 3.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes after 12:37 PM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*b**10)\/b)\/(b*b**(1\/2)*b))**28 assuming b is positive.\nAnswer: b**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 3*y + 10599 = 0, -5*d + 21171 = -d + 3*y. Let k be (-4)\/14 - d\/(-84). Let j = -63 + k. Is 1 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide ((-5 + 8)*-8)\/(3\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 106 is divided by 34.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 1\/4, 2\/13, -349\/26, -1.7, 2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-50)\/15 - (-12)\/3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 199\/1315?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 149*n - 525*n - 33*n to the form k*n + c and give k.\nAnswer: -409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 4\/3  (b) 4  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -b**3 + 6*b**2 - 9*b + 14. Calculate c(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -14 + 13. Let r(s) = 5*s. What is r(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 652 and 1448.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 539 minutes after 9:22 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 10) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*w**2 + 4*w + 6*w**5 - 4*w - 2*w**5 wrt w?\nAnswer: 240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o + 17 - 16, -4*s - 4*o = -40. Calculate the remainder when 261 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 10, w: 5, f: 4, v: 1}. Give prob of picking 1 v and 2 w.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d**3 - 9*d**2 + 12*d - 12. Is g(9) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the second derivative of -z**5\/30 + 5*z**4 - 300*z**3 - 127*z**2\/2 - 144*z. Let f(x) be the first derivative of j(x). Factor f(q).\nAnswer: -2*(q - 30)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -141*t = 5 + 700 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 3511 + 2*r**2 - 2*r**3 - 3513 + 46*r - 4*r**2 as o*r**3 + h*r + y*r**2 + p and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 109, 107, 105?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y - 0*y. Suppose 2*s - i - 6 = 0, 4*i - 2*i - 4 = 0. Suppose 2*o - 10 = 4*z, 0*o - 10 = o + z. Sort o, y, s in increasing order.\nAnswer: o, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 8 + 2 + -270 + 250 + -14?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1 + 52\/12)*141\/(-2). Let o = -227 - t. Solve r = -5, -2*h - 2*r - o = -0*r for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*k = 20*k - 20826. Suppose k = 8*n + 5*n. What is the remainder when n is divided by 37?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 26.6999603 + -26.7. Round d to 6 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (15\/(-6) - -3)*-226. Let c = -79 - r. What is the greatest common factor of c and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 116983020 is divided by 718?\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 117*h**3 - 8*h**4 + 1526*h - 1280 + 1194*h + 3*h**4 + 53*h**3 - 1605*h**2 = 0. What is h?\nAnswer: 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1614*r - 1603*r + 3233*r + 11)*(3 - 1 - 1).\nAnswer: 16*r + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p - 2*p + 0*p. Let c(j) = 28*j - 137*j + 39*j - 55*j - 102*j. Give c(s(y)).\nAnswer: 227*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -43 + 35.9. Let l be ((-44)\/(-220))\/(12\/(-10)). Which is the third biggest value?  (a) 0.2  (b) l  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -372*u**2 - 12*u**4 + 105*u**4 + 23*u**4 + 15*u**4 wrt u.\nAnswer: 3144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-295 - -310) + 29\/(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*d**2 + 8*d**2 - d**2)*(2*d + 10*d**2 + 5*d**2 - 13*d**2).\nAnswer: 20*d**4 + 20*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 24989 at most 24989?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 33123996 a multiple of 1862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -69*o**2 + 100113*o + 8706 = 0. Calculate o.\nAnswer: -2\/23, 1451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -b**3 + 8*b**2 + 5*b - 11. Let x(s) = 2*s + 1. Let a(u) = -3*u - 1. Let r(n) = 5*a(n) + 8*x(n). Let f be r(5). Does 14 divide c(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4, -3, -1702282?\nAnswer: -1702282","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 - (-5 - -10) - (-2 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 15*r - 9. Let a(h) = 7*h - 4. Let c(g) = 9*a(g) - 4*f(g). Let l(s) = -93*s + 35*s + 37*s - 2 + 27*s. Determine c(l(v)).\nAnswer: 18*v - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 1. Let b(r) = r. Let p = 2 + -1. Give p*b(k) + 3*i(k).\nAnswer: k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 6*t**2 - 6*t - 21. Let d(p) = 7*p**2 - 5*p - 22. Let b(s) = -6*c(s) + 5*d(s). Let k be b(12). Solve k*u + 2*v = -1 + 23, -3*u + 3 = -3*v for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*f**2*l**5 - 5*f**2*l**2 - 2*f**2 + 2026*f*l**6 - f*l - 75 wrt l.\nAnswer: 180*f**2*l**2 + 243120*f*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1426, -5238, -11590, -20482?\nAnswer: -31914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve h + 1 = -5*y, 4009 = -4*y - 3*h + 3984 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -5*a + 40. Let j(h) = -h + 8. Let u(o) = 2*c(o) - 11*j(o). Determine u(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z**3 + 45*z**2 - 17*z + 26. What is the units digit of m(-45)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/5 - 11\/(-5). Suppose -k*s + 3*p = -27, 4*p = -3*s + 3 + 29. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 411 and 425241561?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c**3 + 3*c**2 + 3*c + 3. Determine t(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = j + o, 2*o + 9 = 5*j + 3. Suppose j*k - 1 = 5*t, -4*k + 2*t = -3*k - 1. Solve -2*p - 25 = k*r, -10 = r + p - 0*p for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 6627*o**2 - 23*o + 8. Is l(1) a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -49, 6, -3 in descending order.\nAnswer: 6, -3, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 14 in -3\/8, 27, 22167?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 3305347 (base 8) to base 6\nAnswer: 31004531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 59113999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q - 1. Let c(l) = l + l**2 + 1 + 1 + 2*l + 0*l. What is c(z) + 3*j(z)?\nAnswer: z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9597287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4773061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 + 0 + 1)*(-5 + 4 - 1) - 1 - 3 + 5)*(q - 1 + 1).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, z: 1, e: 1}. What is prob of sequence ze?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54177 = 18*r - 23*r + 248. What is the hundreds digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 218*h + 14. Let v(g) = g - 1. Let o(b) = d(b) + 3*v(b). Is o(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 10\/2 + -1 + 0. Suppose 2*v + 8 = b*v. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(28)\/(-1*sqrt(4)) + (sqrt(7) - ((2*sqrt(70))\/sqrt(10))**2).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 9\/2356 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (8\/(-54))\/(4\/6)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 26*b + 81. Suppose 5*p + 2*c + c = 68, 4*p = 3*c + 49. What are the prime factors of x(p)?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 153557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 38127?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -d6bc1 + 1?\nAnswer: -d6bc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-42)\/(-2440)*(-176)\/110. Let m = j - 1143456\/10675. Is m <= -107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(144)\/(sqrt(12)\/sqrt(4))*3)\/((1*sqrt(42)*3)\/(sqrt(35)\/(sqrt(10)\/sqrt(2)))).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7 + -7. Let p be 1\/2*(l + -2). Let q(y) = 2*y**2 - y - 2. Let g be q(2). Sort g, p, 5 in increasing order.\nAnswer: p, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 3\/4, -4, -10\/47, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 285541757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -9*b. Let h(r) = 4*r. Let k(q) = -14*h(q) - 6*t(q). Let o(d) = -8*d - 1. What is o(k(x))?\nAnswer: 16*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*w + 18148 - 18108 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 1\/20 of a kilogram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -319*u - 3379 + 3379 to p + l*u and give l.\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 809632.7 micrograms to kilograms.\nAnswer: 0.0008096327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = 3*h - 2. Let m = 2 - h. Calculate the highest common divisor of 12 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = 3*y - 45, -m - 4 = -2*y + 11. Let o be (-9 - m)*(1 + 0). Suppose o = q - 52 - 104. What are the prime factors of q?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 23*a**2. Let g(o) = 9*o**2 + 0*o**2 + o**2 - 8*o**2. Calculate b(g(h)).\nAnswer: 92*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*q**2 - 2*q + 6*q - 2 + 1 as c + f*q + d*q**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w**3 + 3*w**2 - 15*w - 43. Let h be s(-3). Calculate the remainder when (h*(6 + -289))\/(-2) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 64 and 1192.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t - 2*t + 24. Let y be (-2)\/(-6) - t\/(-3). Differentiate -y - 1 - 2*c + c + 5 with respect to c.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -28 + 58. Let v be (2 - (-135)\/12) + l\/40. Let j(q) = -3*q**3 + 41*q**2 + 15*q - 9. Let r be j(v). Solve -4*y + 5*y - d = r, -3*d = y + 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2068152 and 3324?\nAnswer: 572878104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.3 + 0.00217463.\nAnswer: -2.29782537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3069 - -9209\/3. Let t(z) be the first derivative of -6 + k*z**3 - 2*z + z**2. Give t(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/5 of a hour in seconds?\nAnswer: 36720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12243*w**3 - 2 + 31*w - 12242*w**3 - w to x*w**3 + t + s*w + q*w**2 and give s.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 999 and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100000010 - 1100?\nAnswer: 11110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 24.99 - 25. Sort -0.1, -3, s in increasing order.\nAnswer: -3, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -213042342 (base 5) in base 11?\nAnswer: -571022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-1\/9)*h**(-2\/9))\/((h*h**(-5))\/h*h**4)*(h\/h**7*h*h*h*h**(2\/17)*h)\/(h**(1\/5)\/h)**(1\/3) assuming h is positive.\nAnswer: h**(-242\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15999*m - 18847*m - 211 + 211.\nAnswer: -34846*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + (-29 + 15 - -13) + 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 36 - 34. Suppose l*y = -4*q + 10 - 4, 0 = 5*y + 3*q - 22. Suppose 46775 = -2*o + o - y*z, 2*z = -2*o - 93590. Round o to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -33 or 6.9?\nAnswer: 6.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 - (-4 - 3)) + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 956 - 964. Let v(z) = -z**3 - 7*z**2 + 7*z + 3. Determine v(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u*u**(-2\/11)*u*u)\/(u\/(u\/((u\/u**(-1\/3))\/u))))\/(((u*u**(3\/11))\/u)\/(u**(-2)\/u)))**31 assuming u is positive.\nAnswer: u**(-806\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1297532903 to five dps.\nAnswer: -0.12975","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10132433 + -1?\nAnswer: -10132434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -704493, -704432, -704343, -704226, -704081, -703908, -703707?\nAnswer: -703478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -17980 - -31264. Is r a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 - ((-3 - 24) + (-3 - (2 + -4)))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 338\/52 + 4\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30 (base 10) in base 6?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1432*l**4 - 12370*l**3*u**3 - 70*l**2*u**3 + 73*l**2 - 7*l*u + 601*u**2 wrt l.\nAnswer: 34368*l - 74220*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 444.9227s to nanoseconds.\nAnswer: 444922700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*s = -15*s + 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b**2 - b + 3. Let o be z(3). Suppose 5*t + 46 = 11. Let p = t + o. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -9 - 6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 127 minutes after 10:33 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*w - 106 = 62. Let a be 3\/36*2 + 2372\/w. Calculate the greatest common factor of 9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 less than 16470?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 9 - 0. Let g be 8\/(-12) - 24\/(-9). Suppose 0 = g*h + h - r. Calculate the remainder when h is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00007574515 rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(39)\/(sqrt(3) - sqrt(3)*-2))**2 - sqrt(26)\/sqrt(2)*-4.\nAnswer: 13\/9 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -13*o**3*r**3 - 2*o**3*r**2 - 443*o**3*r - 8*o**2*r**3 + o**2*r**2 - 37*o*r**2 - 2*o*r - 2*o + 5844*r**3 wrt r.\nAnswer: -78*o**3 - 48*o**2 + 35064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.7 and -0.984.\nAnswer: -0.6888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v**3 + 1190*v**2 - 2395*v + 1200 = 0.\nAnswer: -240, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 151754.515 to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13 + 15 - 12)*(-29 + 7 + 2)*(2*g**3 - 2*g**2 + 2*g**2).\nAnswer: 400*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -187*k + 53 with respect to k.\nAnswer: -187","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 39 and 18967.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (18\/(-42)*-7)\/3 - (-2 + 27)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is bb + a3?\nAnswer: 16e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -33787.8506 to the nearest integer.\nAnswer: -33788","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 455 = 76*r - 19*r + 8*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a - 4 - 11 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:33 AM and 12:46 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (-1 + (1 - (-6 + 2))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-940)\/(-235)*128\/(-288)?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 1 + 0 = 0, -5*t + 2*k + 22 = 0. Let g = 4 + 35. What is the remainder when (153 + 0)*(t + -3) is divided by g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -64\/93 and 13\/69.\nAnswer: 2139","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4.38853 + -5.2343. Round c to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.4 and 27815370.\nAnswer: -11126148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1376150 is divided by 275156.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/((-18)\/2 - 174109\/(-19352)). Calculate the highest common divisor of h and 4100.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.04, -106078, 0.064?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 0 + -2166?\nAnswer: -2166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -14029*d*k**4 + 82*d*k**2 + 4*d*k - 2*d wrt k?\nAnswer: -336696*d*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that 339348*s**2 + 339352*s + 4 = 0.\nAnswer: -1, -1\/84837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 123674 is divided by 15458.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 217, 878, 1981, 3526, 5513?\nAnswer: 7942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/8 and -55\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-53*(-8)\/12)\/((-35)\/(5040\/48))?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/((-72)\/(-30)))\/((-10)\/(-6)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/5923 greater than 65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 9631, 15235, 20833, 26419, 31987, 37531?\n\"Answer: -j**3 + 3*j**2 + 5602*j + 4027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 20.014725 rounded to 1 dp?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -355, 2, -2 in ascending order.\nAnswer: -355, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3877.464 meters to millimeters.\nAnswer: 3877464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38412468.\nAnswer: 2, 3, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 - 45 = -16*r. Suppose r*b - 2*m - 123 = 91, -5*b + 3*m + 529 = 0. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 12) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11 - -24. Let q be y*(-1)\/2*-2. Suppose -189 - 111 = -30*s. Which is smaller: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/459249 and -61\/20718.\nAnswer: 2755494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*o + 2*o - 15 = 0. Does 35 divide 9*(o - 8\/(-3)) - -151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -89, -30, 4, 39, 0.4 in increasing order.\nAnswer: -89, -30, -5, 0.4, 4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26150062 is divided by 10267.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.216369 rounded to two decimal places?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 327674?\nAnswer: 2, 19, 8623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -40\/847, -1, 0 in decreasing order.\nAnswer: 0, -40\/847, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + k + 98 = 0, -110 = 4*o + 5*k - 10*k. Let i be 24\/108 + o\/(-9). Let g(a) = 0 + 6*a**2 + a**3 + 6 + 1 + a - i. What is g(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 - -1.8. Let b = -2.1 + 2. What is the biggest value in 4, o, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3) - (-2*sqrt(363))**2)*-5.\nAnswer: -5*sqrt(3) + 7260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + g = 332, 2*i - 76 = g + 54. Let x = i + 11. Calculate the remainder when x is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the second derivative of -3*l - 5\/6*l**4 - 1\/2*l**2 + 0 - 1\/6*l**6 + 1\/42*l**7 + 5\/6*l**3 + 1\/2*l**5. Let o(k) = 0. What is k?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**3 + 9*w**2 + 2*w - 17. Let g be o(9). Let t be ((-7)\/35)\/(g\/(-65)). Solve 5*l = 7 + t for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 626949227?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p + 4*i + 54 = 0, 39297 = 5*p + 4*i + 39207 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 685*(-2 - 8)\/(-2) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*t + 35*t + 162 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/s**(-9)*s)\/(s*s*s*s**(-1\/34)*s)*s**4*s*s**(-5) assuming s is positive.\nAnswer: s**(239\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (0 + 8)*(-4)\/(-8). Suppose l = 2*h + 10. What is the third biggest value in h, 0, 4\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 36\/((-12)\/(-2))*(-5)\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x*x**(-1\/3)*x)\/(((x\/(x**(-3\/7)*x)*x)\/x)\/x) assuming x is positive.\nAnswer: x**(68\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -149*i + 4466. Calculate q(30).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**2\/o**7*(o*o**(-1\/3)*o)**48 assuming o is positive.\nAnswer: o**75","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*d + 3*d - 38. Suppose 0 = 2*a + 4*k - 42, -2*k + 8 = -2*a + d. What are the prime factors of a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h + 9. Let r = 18 - 8. What is the units digit of a(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s - 3*s = 1563. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0, -5, 7.81, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i + 42 = 5*h, h = -3*i + 2*i + 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 + 2*u + 1 + 2 + (-5 + 4 + 6)*(-u + 7*u - 2*u) - 28*u - 16*u + 71*u as w*u + b and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2479 and 5143?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (352\/792*6\/(-4))\/226. What is the fourth smallest value in b, -3, 1, -3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.6686 + 0.70469. Round k to 3 decimal places.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (61 - 127 - 115)*(6*a**2 - 2 - 4*a**2 - a**2).\nAnswer: -181*a**2 + 362","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) be the third derivative of d**6\/360 + d**5\/30 + d**4\/8 + 113*d**3\/3 - 98*d**2 - 1. Let v(f) be the first derivative of q(f). Determine v(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 8*s**2 + 3*s - 111. Determine c(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 90612225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -20 (base 3) to base 12\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 4, -126, -2, 13, 2 in ascending order.\nAnswer: -126, -7, -2, 2, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 23 - 21. Let g(f) = 2*f**3 - 4*f**2 + f + 2. Let p be g(s). Suppose 2*o - 9 = -w - 0*o, -p*o + 45 = 5*w. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 45\/2 of a second?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p and 2 s when four letters picked without replacement from {s: 2, p: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2.5 and -316.787?\nAnswer: -791.9675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, u: 7}. Give prob of sequence ui.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**6 + j**4 - j**2 + j + 1. Let y(s) = 10*s**6 + 3*s**4 - 11*s**2 + 3*s + 3. Let m(a) = -y(a) + 3*z(a). What is the third derivative of m(t) wrt t?\nAnswer: -840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -32*p*s**3 - 3*p*s - 6045*p + 104*s**5 wrt s?\nAnswer: -192*p*s + 2080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*s + 5*s - s**3 + 2629*s**3 + 1696*s**3 - 272*s**3 + (-3 + 5 - 1)*(-5*s**3 - s**3 + 5*s**3) as b*s**3 + z*s**2 + o + v*s and give b.\nAnswer: 4051","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8797*x**2 - 23 - 11437*x**2 + 23 - 548*x**2.\nAnswer: -20782*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by 8432\nAnswer: -5\/8432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 33*h - 9. Let z(g) = -8*g + 2. Let f(n) = 2*c(n) + 9*z(n). Let u be f(-2). Suppose 3*r = 4*r - u. What is the greatest common factor of r and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the first derivative of -q**5\/20 + 7*q**4\/8 - 55*q**3\/12 + 21*q**2\/4 + 7047. Factor d(u).\nAnswer: -u*(u - 7)*(u - 6)*(u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 693936900 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 248 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -4*h - 3. Let n be o(-2). Let m = -62 - -64. Let b(c) = -c - m + 4*c + c + n*c. Let f(a) = -a**2. Calculate b(f(z)).\nAnswer: -9*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 361 is divided by 61.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in 9\/8, 6\/77, 4, -1\/4, -0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -1.128 times 60.1\nAnswer: -67.7928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6 - -5. Let k(m) = -m - 6*m + 5*m. Give k(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1741581 minus -0.157?\nAnswer: -1741580.843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 2  (b) -0.26  (c) 0.5  (d) 0  (e) -0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 198 + -9 - (-9 + 1) is divided by 100?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -204380010 divided by -486\nAnswer: 420535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 24 - 21. Determine u, given that 3*u**2 + u - 15\/2*u**4 - 11\/4*u**t + 25\/4*u**5 + 0 = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 188111926*a**6 + 33793444*a**2 + 2*a wrt a?\nAnswer: 22573431120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2392 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.041795 + 0.8.\nAnswer: 0.841795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 491832 divided by -245916?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -325690, -325691, -325692, -325693?\nAnswer: -325694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p**2 + 2*p**2 + 2*p**2)*((1 + 1 - 3)*(-4*p + 2*p + 0*p) - p - 2 + 2 + 2).\nAnswer: 2*p**3 + 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:34 AM and 7:56 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 20*t - 37. Let y = 0.07 + 3.93. What is the nearest to 0 in y, -2\/13, t?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37 + 121 = 3*f. What is the tens digit of (1 - 2)\/((-2)\/f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.18 - 0.12. Let u = i + 0.94. Let x = 517 - 521. Put x, u, -2\/7 in increasing order.\nAnswer: x, -2\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.088961 rounded to 2 dps?\nAnswer: -2.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 1, k: 2, q: 2, z: 1}. Give prob of sequence qqkk.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w\/((w\/(w*w\/(w\/(w*w**14)*w)*w*w))\/w)*w*w\/w**(-10\/3)*(w\/w**6)**(-19) assuming w is positive.\nAnswer: w**(355\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = b + 5*d + 4, -b + 2*d + 8 = 3*d. Let u = -18 + 60. Calculate the remainder when u is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 3*y - 2*w + 544 = 0, 5*w - 1629 = -3*y. List the prime factors of y.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8274444l to millilitres.\nAnswer: 827.4444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.1  (b) -1\/4  (c) 0.1404  (d) 104\/109\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -45, -31, -17?\n\"Answer: 14*n - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -300 + 566. What are the prime factors of s?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ahy when three letters picked without replacement from aayhayaaaaaaaaaaa?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*t**2 - 9 - 5*t**2 + 5*t**2 + 3*t**2 + 6*t.\nAnswer: 3*(t - 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = -1283801 - 317705. Let p = k - 1869247. Round p to the nearest one hundred thousand.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 0.0494189 years?\nAnswer: 0.00494189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*z = 25*z - 910 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 53895?\nAnswer: 3, 5, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.155 and 98295768.\nAnswer: 98295767.845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1181 + -1181.09. Let q be -2*3*5\/6. Put -0.1, q, 3, k in decreasing order.\nAnswer: 3, k, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 - -5 - (12 + -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*z**3 - 24*z**3 + 12*z**3 + 717*z.\nAnswer: -4*z**3 + 717*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -110 + 90.8. Let h = g + 19.20396. Round h to four decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1547.42 rounded to the nearest integer?\nAnswer: 1547","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19157 is divided by 186.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -108, -227, -358, -501, -656, -823, -1002?\n\"Answer: -6*a**2 - 101*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + -2 - (43 - 41).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-49 - 34 - 45)*(0*g - 2*g + 4*g) as a*g + d and give a.\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.4 * -8.\nAnswer: -11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*n - 512 - 448. Let p = 292 - n. Calculate the greatest common divisor of 676 and p.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 87*v - 48*v = 546. Solve -6 = -q + c, -4*q = -0*q - 2*c - v for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(50)\/(1*sqrt(5) + sqrt(5)))\/((sqrt(320)*-2 - sqrt(320)) + sqrt(320)))**2.\nAnswer: 1\/512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 143510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*g + 43 + 50. Let h = 157 - 153. Suppose h*w + x = g, -3*w + w - 4*x = -12. Solve -l + 4*l = 3*a - 6, -3*l = -2*a + w for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1984 divided by 4?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + u = 3*h - 17, -2*h = -u + 7. Suppose 15 = 3*m + 3. Suppose y = -m*w - u, 2*w + y + 2*y + 5 = 0. Is 1\/93 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 13 = -3*m - 4, 4*m = 5*o - 23. Let v(t) = -t**3 + 2*t**2 + 6*t + 3. Let q be v(m). Solve q = -5*l - c, -c + 16 = -5*l + c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 168 and 276668.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 29\/(145\/4)*3*5. Let q(w) = -21*w - 1. Let d be q(-1). Suppose 4*m - d = -0. Solve -a = m*h - h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 114 and 39634.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 36289, 290126, 979117, 2320840, 4532873, 7832794?\n\"Answer: 36263*y**3 - y**2 - y + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 133*c**3 - 20750*c**2 + 809484*c - 12168.\nAnswer: (c - 78)**2*(133*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 23\/(2300\/(-75)) + (161\/140 - -5). Factor 3*x**3 - b*x + 3\/5*x**4 + 9\/5*x**2 + 0.\nAnswer: 3*x*(x - 1)*(x + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7058\/259 bigger than 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 162.862538369 and -1?\nAnswer: 163.862538369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -638438*q + 33271?\nAnswer: -638438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 2\/7  (b) -0.4  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 34859411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**4\/b**11 assuming b is positive.\nAnswer: b**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*h - 3*h - h**3)*(507 + 488 - 231)*(-h + 3*h - 3*h).\nAnswer: 764*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0009408 rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 177*q + 59. Let j(y) = -y + 1. Let n(r) = -g(r) + 6*j(r). What is the derivative of n(d) wrt d?\nAnswer: -183","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -60142, -120281, -180422, -240565, -300710?\n\"Answer: -y**2 - 60136*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 174431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 421794337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -53 + 4*i**2 + 21 + 25 in the form b*i**2 + m + l*i and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.5, 26\/3, -2\/31, 1\/5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*f + 3*f = -4*f. Suppose 4*v - 343 = k, 85 = -f*v + v - k. Does 43 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.5 and -1.08?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:14 PM and 9:07 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -8979\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 985?  (a) 1\/2  (b) -0.3  (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from {f: 9, r: 7, d: 2}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 12111590?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Add 1.5776 and -1125521839.\nAnswer: -1125521837.4224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 196529189977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in twenty-nine thirds of a week?\nAnswer: 1624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*b + 14*b + 335000 = 0. Round b to the nearest one thousand.\nAnswer: 67000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1265133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1\/(6\/(-3))*(13 + -13). Solve v*a - 5 = -5*b + 3*a, -15 = -5*b + a for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -16680*p - 1. Is t(-50) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/22 + 3996\/891 - 1\/2. Let f(g) be the second derivative of 0 + 0*g**2 - i*g**3 - 14*g. Let a(z) = z**2. Calculate f(a(j)).\nAnswer: -25*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - -9) + -1 - (-162 + 175)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000016435 to seven dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 20 - 15. Suppose -o*y - 764 = 4*q, 0*y + 2*y = q + 204. Let k = 319 + q. What are the prime factors of k?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/(-8)*(-24)\/4. What is the nearest to -1\/6 in 0.1, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -224*p**3 - 231*p**3 + 454*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -17e (base 16) to base 13\nAnswer: -235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v + 9*b - 74 = 0, -12*b = -v - 4*b - 21 + 14 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 1\/217?\nAnswer: 1\/217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o**4\/3 + 14710*o**3\/3 - 991414*o**2\/3 + 2783114*o\/3 + 1263080 = 0. Calculate o.\nAnswer: -1, 4, 65, 7287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3858 and 1175611046?\nAnswer: 1286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*y + 3*y - y + (2 - 2 + 2)*(y - 2*y + 0*y) + 3*y + 2*y - 3*y)*(y**2 - 3*y**2 + 5*y**2) + (2*y + y - 2*y)*(1 - y**2 - 1).\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -16319, -32603, -48887, -65171, -81455?\nAnswer: -97739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 43 + 41034?\nAnswer: 41077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 2275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 22108120 to the nearest 100000.\nAnswer: 22100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*d + 21*d + 7272 = 0. List the prime factors of d.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1\/560 + 7843\/1680. Determine c, given that 0*c**3 + 2\/3*c**4 - 4*c - b*c**2 + 0 = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1213347?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-3\/19))**(-48)*((y\/y**(-3))\/y*y**(2\/5))\/y**(-11) assuming y is positive.\nAnswer: y**(2088\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -103*p + 198. Let z(m) = 534*m**2. Determine g(z(u)).\nAnswer: -55002*u**2 + 198","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-10)\/(-15))\/(4\/6). Let a be (-4)\/b*(-1)\/2. Sort -4, 5, a in increasing order.\nAnswer: -4, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 5*w**2. Let i = -110 + 116. Let p be i\/24 + (-7)\/(-4). Let f(c) = -p*c + 2 + 4 - 6. Calculate f(u(h)).\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3462 + -3461. Suppose c = -2*c + 36. Put c, 0, d, 2 in descending order.\nAnswer: c, 2, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let n = 2\/3 + -8\/21. Let y = 261.828 - -0.172. Let w = y + -261.99. What is the nearest to n in -0.2, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-7)\/i**(-1\/7)*(i*(i*i**(-1\/4)*i)\/i)**(1\/4) assuming i is positive.\nAnswer: i**(-719\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7991 - -4575. Let g = -2102 - k. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 19  (b) 4  (c) -0.3  (d) -4\/7  (e) -495\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -11\/6 and 91\/116354964.\nAnswer: 116354964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*g - 102*g = -8970. Let l = 77 + -51. Calculate the greatest common divisor of l and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 38 and 538.\nAnswer: 10222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 498775679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = 78*a - 82*a + 833839980, 4*a + w = 833840004. Round a to the nearest one million.\nAnswer: 208000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1619 - 3*b**2 - 1619.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -37*i**2 + 32*i - 3 - 95*i + 3 + 59*i - i**3 in the form t*i**3 + y + r*i**2 + c*i and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the third derivative of 0*w**3 - 16*w**2 + 1\/4*w**4 - 1\/70*w**7 + 0 + 0*w - 1\/20*w**6 + 1\/20*w**5. Factor z(v).\nAnswer: -3*v*(v - 1)*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 29 or 256\/9?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -11 + 32. Let m(y) = 14*y**3 - 2*y + 2. Let o be m(2). Let t be (o + 14)*(-3)\/(-18). Which is smaller: t or f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1143*b + 283*b - 881 + 881)*(4 - 3 - 2).\nAnswer: -1426*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 7a8 + -c?\nAnswer: 79a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 5460331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 15318619 = 74718619. Round l to the nearest 1000000.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, 1\/78, -158 in ascending order.\nAnswer: -158, 1\/78, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5183\/9*s + 143\/9*s**2 - 1\/9*s**3 + 5041\/9.\nAnswer: -(s - 71)**2*(s - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b - b**2 - 2*b + 2*b - b**2 - 5*b**2 + 4*b**2 + (2 - 2 - b)*(3 - 3 + 2*b))*(-4683*b + 1 + 4741*b - 3).\nAnswer: -290*b**3 + 68*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 5*d = 54021, 5*d + 50512 = 4*x - 57555. What are the prime factors of x?\nAnswer: 61, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 125\/(-20) + (1 - -3). Let g(f) = f**2 + 6*f - 2. Let h be g(-7). Let i = -7 + h. Which is bigger: c or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/5  (b) 0.01  (c) -1\/9  (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 668.447309 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = r + 3*j - 9, 0 = r - 5*j - 23 + 22 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/9 - 2960\/36. Let g = 43 + n. List the prime factors of (-121)\/(-3) - (-13)\/g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 19529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/(-3) - 1\/(-3). Suppose 2*l + 517 = 13*l. Suppose -51*x = -l*x - 4. Solve m = p - x + 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(4\/3)\/y)**(-7)\/(y**(5\/6)*y**(-1\/16)\/y))**(4\/13) assuming y is positive.\nAnswer: y**(-437\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -12*k + 22 + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 28560 and 4068168.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -7652539.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 29*h - 89. Let i be r(7). Suppose -i + 114 = 5*l. Solve 10 = u - 2*d, -5*u - 5*d = -l*u + 25 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 209 minutes after 1:50 AM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2763?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (848\/(-795))\/(12\/(-15)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s**3 + 10496*s**2 + 1900362*s + 87562476 = 0. Calculate s.\nAnswer: -5062, -93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -7*y**2 + 7*y + 9. Let m(u) = 4*u**2 - 3*u - 4. Let v(g) = 7*m(g) + 3*q(g). Differentiate v(c) with respect to c.\nAnswer: 14*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -11479 - -5983?\nAnswer: -5496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1983 + -901. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - y = -0*y + 576, 773 = 4*q - 3*y. What are the prime factors of q?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1270 < -3.834?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.0447 greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -63*h**2 + 94*h + 3. Let j(t) = -123*t**2 + 187*t + 5. Calculate -7*d(v) + 4*j(v).\nAnswer: -51*v**2 + 90*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:42 AM and 2:45 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 11, o: 9}. What is prob of picking 4 o?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -61\/1696 and 89\/528?\nAnswer: 55968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxxpxxpxpxxpxxxpxx. What is prob of sequence xpxx?\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 480 minutes after 11:12 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -0.39242 * 0.2\nAnswer: -0.078484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:48 PM and 9:47 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 913899*i**2 + 1712395*i + 1.\nAnswer: 1827798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -33, -227, -741, -1731, -3353, -5763?\nAnswer: -9117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p**(-6)*p**(-4))\/(p*p\/p**(-2))**31)**13 assuming p is positive.\nAnswer: p**(-1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*y**3 - y**3 - 9*y**2 - 4*y**3 + 0*y**3 wrt y?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*a + 135*a - 2535 = -34*a for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*i**3\/3 + 44*i**2\/3 + 680*i\/3 - 1056.\nAnswer: -4*(i - 18)*(i - 4)*(i + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k**3\/7 - 24*k**2\/7 = 0. What is k?\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes after 11:28 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 757212840 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 148904 = 5*l, -4*l - 4*m + 178688 = 2*l. Does 146 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 + 121 = 2*s. Let h be ((-2)\/2)\/(17\/s). Let v(l) = -3*l**3 - 6*l**2 + 2*l - 5. Let y(k) = 2*k**3 + 5*k**2 - 2*k + 4. Calculate h*v(m) - 5*y(m).\nAnswer: 2*m**3 - m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p + 757 + 192. Let k = -158369\/10 + 16781. Let l = k - p. What is the common denominator of l and 18\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 - 2.3. Let z = -0.723 + -3.207. Let p = z - 0.07. Sort p, k, 3, -2 in decreasing order.\nAnswer: 3, k, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12248?\nAnswer: 2, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l + 11. Let k(h) = -5*h + 36. Let g(o) = -k(o) - 7*q(o). What is g(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the first derivative of 2*g**3 - 7*g**2\/2 - 12*g + 17. Let y be n(-3). Let r = y + 155. Calculate the remainder when r is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 93, 189, 293, 405?\n\"Answer: 4*w**2 + 84*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/(-1)*5\/10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the first derivative of 7*l**2\/2 + 2*l - 1. Let f = -8 + 11. Is g(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*v - 1 = 61*v - 158 - 47 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1\/5*l - 1\/5*l**2 + 2\/5 = 0 for l.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 140.85529803 and 0.36.\nAnswer: 141.21529803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -125*j**2 - 2044*j**2 - 339*j**2.\nAnswer: -2508*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1744115 to the power of 1\/2, to the nearest integer?\nAnswer: 1321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2368601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q - 2*y + 0 = -18, -5 = -5*q - 2*y + 3*y for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000011637 to 7 dps.\nAnswer: -0.0000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 146 (base 12) in base 3?\nAnswer: 21100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:20 AM and 12:36 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -44977\/70952 - -35\/4344. Let f be (-165)\/(-441) + (-2)\/6. Let p = f - u. Which is the second smallest value?  (a) 2  (b) -4\/3  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 30 = -2*p, 7 = y + 3*p - 2*p. Let s(h) = 3*h**2 + 5*h - 3. Let j(k) = -2*k**2 - 4*k + 2. Let t(r) = -6*j(r) - 5*s(r). Calculate t(y).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.108 less than -8?\nAnswer: -9.108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/t**(-3\/4)*t*t)\/(t\/t**(-9\/7)))**(-28)\/((t**(-1\/3)\/t*t)**(20\/9)*t*t*t**(-3\/5)*t*t**(2\/15)) assuming t is positive.\nAnswer: t**(-5777\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/2571 and 47\/72.\nAnswer: 61704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 2, -128, 0.5, -1\/3, -55 in decreasing order.\nAnswer: 2, 0.5, -1\/3, -4, -55, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that 4*y**3 + 129300*y**2 - 49830372*y + 4772736268 = 0.\nAnswer: -32707, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 9 = 0, 20*p = 17*p + 7*l + 3741. What is the greatest common divisor of 13144 and p?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.1, 98, -2\/18405?\nAnswer: -2\/18405","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 2\/2511, -1, -0.065, 5?\nAnswer: 2\/2511","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -275 * 0.703\nAnswer: -193.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 82443429 to the power of 1\/4, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -0.6 * -0.072\nAnswer: 0.0432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 41317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v*v**1)**(-49)\/((v*v**0)\/v)**28 assuming v is positive.\nAnswer: v**(-147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/9 + 3902\/18 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 39 - 36. Suppose -j*l + 12 = p, 0 = -p - 5*l - 6 + 26. Solve p = c - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1602130009 rounded to five dps?\nAnswer: 0.16021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -148 = -3*i - v, -2*i - v - 16 + 113 = 0. Calculate the remainder when 352 is divided by i.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i - 5*f + 8 = -0*i, 4*i + f + 16 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i\/(((i*i**(-9))\/i)\/i)*i*((i**(2\/9)*i)\/i)\/i)\/(i**(-4)\/i**1)*i**2*i**(-1\/13)*i**(2\/5)*i**5\/i assuming i is positive.\nAnswer: i**(13774\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000291 to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -97, -125, -153, -181, -209, -237?\nAnswer: -265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 18\/3 - 2\/1. Suppose o*s + 8 = 2*m, -4*s = m + 17 - 3. Let t = -2 + 0. Is t not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 133694691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 7606158 and 485?\nAnswer: 38030790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -114, -87, 80, 387?\nAnswer: 834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -2*b, 0 = 3*q + 4*b + 43 - 4. Let x(v) = -4*v - 22. List the prime factors of x(q).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = 5*m + 10 + 3, -5*a = 4*m - 6. Suppose -2*l = -x - 27, l = -a*x + x + 9. Calculate the lowest common multiple of l and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 - (15 - 22) - 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -11*d**3 + 7*d**2 - 1264 wrt d?\nAnswer: -33*d**2 + 14*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -250332 divided by 4\nAnswer: -62583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the first derivative of 23*m - 149\/2*m**2 - 100. Differentiate x(a) with respect to a.\nAnswer: -149","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 3783 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3\/(-5) - 17356\/240. Let u = n - -3661\/60. Find the common denominator of ((-10)\/25)\/(8\/(-58)) and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 804 = 4*l, p - 216 = -0*l + 2*l. Let v = p + -206. Solve -2*t - t = v for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17440 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00428135 rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -103*u**2 - 3*u - 1. Let k be d(-1). Let x = k + 104. Solve -6*s = -x*s + 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80261*d**3\/2 + 158671*d**2 + 7408*d - 16 = 0. Calculate d.\nAnswer: -4\/83, 2\/967, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2569 >= 2568?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -662, 0.39, 2 in descending order.\nAnswer: 2, 0.39, -662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 14*2*(-11)\/44?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1879 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -33*j + 5*j + 10*j + 5*j to l*j + z and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -1 + 124 + -20 + -175\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -7931.4*0.0587\nAnswer: -465.57318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -4  (b) 7  (c) -25  (d) 0.08  (e) 10  (f) 0.056\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w = 5*w + 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 22307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x + 4, 5*n + 4*x - 5 = 16. Solve 0 = 5*r + n - 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -24796165 or -24796167?\nAnswer: -24796167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -40\/7, -2\/15, -15, 0.3 in decreasing order.\nAnswer: 0.3, -2\/15, -40\/7, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 456374 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + -2 - ((-3 - -7) + 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 31900 and 2900.\nAnswer: 31900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of -14820653 and 0.3.\nAnswer: -4446195.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0\/(-1 + 4) - 11. Let f be x\/5 + (-2)\/(-10). Calculate the lowest common multiple of 8 and f\/(-7) - (-378)\/49.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -123\/11360 and -131\/2080?\nAnswer: 147680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the third derivative of -d**5\/24 + d**4\/12 + d**3\/12 + 46*d**2. Factor i(n).\nAnswer: -(n - 1)*(5*n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1416 + 2312. Suppose n = -6*l + 4274. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38*r**3 + 6*r**2 - 14*r**2 + 106*r**3 - 160*r**3 + 8*r**2.\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 800295 is divided by 212?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (-3*(sqrt(833)*2 - sqrt(833)) - -2*1*sqrt(833) - ((sqrt(833) + -2)*4 - (0 + sqrt(833) + 4))) + 3)**2.\nAnswer: -952*sqrt(17) + 13617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 904 divide 1186048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3*52\/(-6)*(-2)\/4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dunignn. What is prob of sequence gud?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -40998, -40991, -40982, -40971, -40958, -40943, -40926?\nAnswer: -40907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -330 * -77\nAnswer: 25410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 19902\/4 - (-30)\/60?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7.218231 - 7.2482. Let j = -8 - -7.97. Let u = j - c. What is u rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3198902 is divided by 3198882?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y - 9. Let w be d(0). Let a be (-20)\/w - 6\/27. Is a less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*p + 11*p - 68 = 3*q, -5*p + 5*q = -80. Calculate the remainder when 27 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**4\/(r\/(r\/r**1*r)))\/(r**(-2\/3)*(r**(1\/3)\/r)\/r) assuming r is positive.\nAnswer: r**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**2\/4 + 6475*n\/2 - 12949\/4.\nAnswer: -(n - 12949)*(n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 205 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -15, -1, 5416125 in descending order.\nAnswer: 5416125, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/94779 or 1?\nAnswer: 2\/94779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -49*m**3 + 35*m**2 + 35*m + 35. Let k = -1817 - -1814. Let s(u) = 4*u**3 - 3*u**2 - 3*u - 3. Determine k*d(w) - 35*s(w).\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 i when two letters picked without replacement from imq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sum 127.6692 and -4.\nAnswer: 123.6692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -142.21 - -97.42. Let w = s + 45. Let i = w - 0.51. Put 2\/3, -5, i in increasing order.\nAnswer: -5, i, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -33054.986866 + -0.013134. Let y = -33054.70018 - i. Let f = 0.3 - y. What is f rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24952754.\nAnswer: 2, 12476377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -7 + 7 + 4*a**3 + (0 + 0 - a)*(3*a - 3*a**2 - 3*a) in the form x*a**2 + i*a + t*a**3 + q and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 16201856 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 40946.2992 and -1?\nAnswer: -40946.2992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.4871356 rounded to 3 dps?\nAnswer: -1.487","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 4) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-7))\/(38\/1330)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -520 - -519. Let c be 3 - (-4)\/f - (-17 + 11). Solve c*x = 6*v - 3*v - 2, v = 2*x for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6048 + 21608. What is the ten thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 47\/80 - 7\/80. Let -3\/2*j**3 - q*j - 2*j**2 + 0 = 0. What is j?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5990421 is divided by 32206?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 4*m**2. Let s be h(1). Suppose 0 = s*o - 5*u - 4 - 11, u - 5 = 0. Suppose 4 = 6*j - 5*j. Calculate the smallest common multiple of j and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3617649 and 945?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 112 + -101. Let v(i) = -i**3 + 10*i**2 + 14*i - 34. Let l be v(s). Let r(u) = 4*u. What is r(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -28*g**3*m**3 + 14*g**3 + 102*g**2*m**3 - g*m**3 + 3200*g*m**2 wrt m?\nAnswer: -168*g**3 + 612*g**2 - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z**3 - 48*z**2 - 94*z - 80. Determine h(-46).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2*-5)\/((-12)\/(-6)). Let h be l + 3\/(-6)*0. Which is the biggest value?  (a) h  (b) -0.2  (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -5*q + 9 + 37, 0 = 3*v + 12. Suppose 0*t = q*t + 126. Find the common denominator of t and -71\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7380132*n - 71 = 7380133*n - 2*w, -4*n + 5*w - 185 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -4223493 (base 10) to base 2\nAnswer: -10000000111001000000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5 + -1. Suppose -2*r + 3*x + 5 = 0, 11 = 3*r - 5*x + g*x. Suppose 5*n + 0 = -2*f - 5, 10 = -3*f - 5*n. Sort 5, r, f in ascending order.\nAnswer: f, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d + d = 0. Let n = 30.1 - 30. Which is the nearest to d?  (a) -0.4  (b) n  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16, -31, -46, -61?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 6800, 13583, 20306, 26939, 33452, 39815?\n\"Answer: -5*w**3 + 6818*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (288\/40)\/((-2)\/(-10)). Suppose l = 4*v - 3*v. What is the remainder when v is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -356 + 4678?\nAnswer: 4322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w**3\/11 + 14766*w**2\/11 - 25677792*w\/11 - 5901718760\/11.\nAnswer: -2*(w - 3794)**2*(w + 205)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 3 + -1 - (-102 - -105 - 16) - (-1 + 158)\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 3 = 9. Suppose 0*k + 5*k = f - 29, 5*f - x*k = 40. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z**2 - 240. Let c(o) = 9504*o. Determine c(j(h)).\nAnswer: -9504*h**2 - 2280960","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 121787 is divided by 40417?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3 - 1\/(-3)*-3. Suppose 0 = 16*y - 14*y - 6. Find w, given that -2*w**2 + 0*w**n - w + 1 - w + 2*w**y + 1 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.38 * -17.6\nAnswer: -6.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 84\/(-273)*(-52)\/8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2265, -2266, -2267, -2268, -2269, -2270?\nAnswer: -2271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 598845 and 150?\nAnswer: 5988450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 2 k when three letters picked without replacement from {o: 2, k: 3, x: 7, w: 8}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-1)*o**(-6)*o*o\/((o*o**(2\/11))\/o*o*o)*o*o*o**6 assuming o is positive.\nAnswer: o**(9\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.096 + -0.0959153. What is h rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 759 a factor of 18577100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 44, 42, 40, 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2457*r + 0*x - 4 = -2455*r - 2*x - 2, -6*r = 4*x - 34 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 1360 divide 19489963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 184584?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8*y**2 + 2*y**2 - 2*y**4 - 12*y**2 - y**2 wrt y?\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -97586 - -97585. Let z(l) = 8*l**2 - 2*l. Let t be z(2). Does t = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3337968799?\nAnswer: 11, 3121, 8839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*1*sqrt(35))\/sqrt(7).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -226 less than or equal to -2948\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 199818 + 3*k - 5*k - 202717 to the form h + i*k and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.09 + -0.79. Let m = -1.7 - s. Is -2\/5 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 24 and 10543464?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 370\/(-148)*1276\/110.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8963 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -32 - -31. Let o be (-29872)\/36*1 + (-4)\/18. Let x = -62252\/75 - o. Is x at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 597.\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/6)\/(4\/12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.39772335 and -5.\nAnswer: 1.98861675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 333423240 (base 5) to base 11\nAnswer: 912468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 12, 341.\nAnswer: -1, 12, 341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2780 by -200.\nAnswer: 139\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 less than -143.0967?\nAnswer: -146.0967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1111001 - 1?\nAnswer: -1111002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -101606044 (base 8) to base 12\nAnswer: -5934398","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jboh when four letters picked without replacement from hhmhhhjhhhohujomjhb?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -2 - 2 - (-6 + (-105 - 1) + -404 + 399)\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that 6*d**4\/5 - 172*d**3\/5 - 686*d**2\/5 + 1492*d\/5 - 128 = 0.\nAnswer: -5, 2\/3, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 3 = 0, 3*v + 155*p = 152*p + 111. What is the remainder when 416 is divided by v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -62.69 in -4, 0.12, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -82380 + -373854?\nAnswer: -456234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 8, x: 7, j: 1, p: 2}. What is prob of picking 2 p, 1 j, and 1 a?\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 774*x**2 + 4. Let i be l(2). Round i to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -118453, -118522, -118591, -118660, -118729, -118798?\nAnswer: -118867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1.053632 or -480?\nAnswer: 1.053632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 242*1.\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -13 - -17. Suppose 16 = h + 7*h. Let x(u) = 3*u**2 + 4*u**2 + h*u**2 - u**3 - 5*u**2 - 2*u + 2. Calculate x(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = -f - 8 + 34, -62 = -5*f + 3*j. What are the prime factors of f*((-756)\/30)\/(-1)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 2*n**3 + 2*n**2 - n - 3. Let l(v) = v**2 - v. Calculate -a(i) + l(i).\nAnswer: -2*i**3 - i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hssh when four letters picked without replacement from hhshsshsshmhsssshmf.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/9 - ((-10)\/(-495) - 8\/(-88))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 3*v**3 - 23*v**2 + 255*v - 2347. Give u(8).\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 3840000 = t. Suppose 0 = c + 3*c + t. What is c rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23548?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 106343 and 5126466.\nAnswer: 3667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -136 + 253 - 5*x + 350 + 27 wrt x.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jm when two letters picked without replacement from {s: 1, p: 6, m: 6, j: 6}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (33\/(-198))\/((-5)\/360)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 144 = 23*z - 26*z, 4*w + 3*z = 189. Is w not equal to 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1251792*a**3*h*i**2 + 1162*a**3*i**2 + 127*a**3*i + 2*i wrt h.\nAnswer: -1251792*a**3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c**2 + 246*c = 0. What is c?\nAnswer: -123, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 197 - 195. Suppose 4*b - 2080 = n*o, -3*b - 640 + 2213 = 5*o. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 776 + 1020 = -3*s, -924 = -2*k - 5*s. Solve 0 = -k*r + 457*r - 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16037326 to the power of 1\/3, to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -108 + 3\/2*y**2 + 3\/2*y = 0 for y.\nAnswer: -9, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (980\/112)\/7 - (182\/24)\/7\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-13)\/39*-6)\/(-1)*(-2)\/(-16).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*h*k*l**3 + h*k*l + 83*h*k*p + 4*k*l**3*p + k*l**2 + 15*k with respect to h.\nAnswer: 2*k*l**3 + k*l + 83*k*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1195, -970, -745, -520, -295?\n\"Answer: 225*c - 1420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(224) + sqrt(56))\/sqrt(8) + sqrt(7) - 1*sqrt(567) - (0 + sqrt(35)\/(sqrt(30)\/sqrt(6)) + sqrt(7)))**2.\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*z - 16 = 11. Calculate the remainder when ((-8)\/(-12))\/(2\/9) is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 5 - 7*a)*(a + 2*a + a).\nAnswer: -28*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -1164880 divided by -232976?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 153 and 204?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*n**2 + 11*n**4 + 0*n - 10*n**4 + 2 + 2*n in the form v*n + z*n**2 + a + q*n**3 + u*n**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5935188, 5935195, 5935202, 5935209?\nAnswer: 5935216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 268 - 133. Calculate the greatest common divisor of 10 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -16 - -19. Solve -4*i + d*z + 28 = 0, i - 16 = -0*i + 3*z for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 79 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**2 - 248*c - 504.\nAnswer: 2*(c - 126)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:51 AM and 10:15 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -3717*p - 3611*p + 7540*p + p - 2*p + 0*p + p - p + 2*p - 2 + 2 + p + (1 + 2 - 1)*(-2 + 2 - 2*p) in the form q + u*p and give u.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-33)\/(693\/168) - (1 - 88\/10). Let l = 10 + -11. Which is the closest to l?  (a) -5  (b) s  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, -20, 3, -1, 4, 11, 355 in decreasing order.\nAnswer: 355, 11, 7, 4, 3, -1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1 + (5 - 2) + -2. Let o = 43 - 29. Suppose 4*n = -j + 48, -v*n + 0*n + 2*j + o = 0. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.119 in 100, -11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 - -147200.\nAnswer: 147199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 257 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -277*u - 12471. What is j(-45)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*t = -11*t + 16. Suppose t*c + 165 = 4993. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -153651\/5 - -153653\/5. Factor 3\/5*y**2 + 0 + m*y**3 + 0*y - 1\/5*y**4.\nAnswer: -y**2*(y - 3)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -50254202 (base 7) to base 15\nAnswer: -57403b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1183489 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*o + 4 - 4)*(o - 5*o + 3*o) + 6*o**2 - 304 - 30*o + 32*o + 314 in the form f*o + n*o**2 + s and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.5 and -54125 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -913717, -913716, -913715?\n\"Answer: m - 913718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110001110011000011 - -11?\nAnswer: -110001110011000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = r - 28. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*m + 3*f + 11, 149*m - 154*m = 5*f + 10 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1102 - -2002?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 4238 bigger than 4293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -91\/16 and 67\/18457386.\nAnswer: 147659088","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 2*k**2 + k + 9. Let o(b) = -b**2 - b - 5. Let a(z) = z**2 + 16*z - 35. Let r be a(-9). Let q = 93 + r. Determine q*o(w) - 3*x(w).\nAnswer: -w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 93 - 31 = 2*c - 4*f, -3*c + 5*f + 95 = 0. Solve -16*x + 115 = c for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/42)\/(-22*20\/(-3465)*891\/22)?\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 2*a**2. Let w(p) = p**2 - 3*p - 3. Let z(l) = -4*l**2 + 13*l + 13. Let x = -20 - -46. Let k(n) = x*w(n) + 6*z(n). Calculate k(m(b)).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 101923*s - 50962*s - 50961*s + 4*s**3 - s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1 + 1*(-2)\/(-4). What is the nearest to 0 in -3, -2\/11, c?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(627)\/(sqrt(55)\/sqrt(5)))\/(sqrt(192) + 2*sqrt(192))*-4.\nAnswer: -2 - sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.3  (b) 9  (c) 2  (d) 5  (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 20412413 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55383?\nAnswer: 3, 18461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 524*c**3 + 602*c**3 - 5669*c**2 + 5669*c**2.\nAnswer: 1126*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve b**3\/7 + 19*b**2\/7 + 16*b\/7 - 36\/7 = 0.\nAnswer: -18, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 61, 94, 101, 82, 37?\n\"Answer: -13*r**2 + 72*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(4235))\/sqrt(7) + sqrt(45)\/((sqrt(9) + sqrt(36))*6))**2.\nAnswer: 198005\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-65)\/4*(22\/110 + -1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*j**3 - 26019*j**2 - 26040*j + 156132 = 0. Calculate j.\nAnswer: -3, 2, 8674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**3 + b**2 - 4*b + 1. Let z be w(-3). Let i(t) = 2*t**2 - 4*t + 2. Let s be i(2). Let p be ((-8)\/(-10))\/(s\/(-10)). Sort p, 4, z in descending order.\nAnswer: 4, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 60616.47 litres?\nAnswer: 60616470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -11 - -100 - (-15 + 193)\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 3\/10 of a century?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c**2 - 3. Let p be k(6). Let i be 0 - (-2*p + 3). Calculate the remainder when 82 is divided by 2\/9 - (-1309)\/i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5*4.91427.\nAnswer: 24.57135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 61708754 is divided by 913.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 3*d + 4 = -0, -3*d = -5*q + 10. Suppose -q*c + 3*c - 878 = 0. Suppose -2*z + c - 76 = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -21.4 + 20.9. What is the closest to -0.09 in -1, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2444 (base 5) to base 6\nAnswer: -1422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 67*g**2 - 36*g**2 + 0*g + 2*g + 4*g**3 - 30*g**2 as y*g**2 + o*g**3 + a*g + x and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 253 and 620\/(-500)*-55 - 8\/(-10).\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 3*s**2 + 5*s - 13. What are the prime factors of m(-6)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -496*a**2 - 495*a**2 + 992*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 10640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q - 4*z = 70, 0*q + z + 55 = -5*q for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*y - 12997 + 12997 + 279*y**2 + 0*y as a*y**2 + k + p*y and give a.\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -2 + 4 - (-2)\/2. Suppose 0*g + g = 2, -l*t + 15 = -3*g. Suppose -4*u + 64 + 95 = 5*n, -55 = -n + 5*u. Calculate the highest common factor of t and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - 1) + 3 + -8 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7790 and 16.\nAnswer: 62320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 129\/(-44) + 1\/(-4).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15 + 24. Suppose 2*p - 65 = -13. What is the remainder when p is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (-6 + 5 + 16)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence duud when four letters picked without replacement from uudduuuuuuu.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the third derivative of f**8\/10080 - f**6\/144 - f**5\/20 + 5*f**2. Let k(i) be the third derivative of g(i). Find the first derivative of k(q) wrt q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (((sqrt(637) - sqrt(637)*-2)*-6 - 3*1*sqrt(637)) + 1)**2 + -5.\nAnswer: -294*sqrt(13) + 280918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yxkkkywhkykkhkkkw. What is prob of sequence yhwh?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:07 AM and 4:05 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 3*u**3 - 39*u**2 - 23*u + 44. Give m(13).\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 94045371 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 26*q - 6. Let g(c) = -c + 1. Let y(f) = -5*g(f) - v(f). What is the remainder when y(-1) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 3, d: 4, i: 1, y: 2, m: 2, q: 6}. Give prob of picking 1 m, 2 x, and 1 i.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6 - -5. Let k = 7 + -2. Find the third derivative of -v*j**k - j**2 + 5*j**5 + 3*j**5 wrt j.\nAnswer: -180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1313*b**2*h**3*v + b**2*h**2*v**2 - b**2*h*v**3 - 8*b**2 + b*h**3*v**3 wrt h.\nAnswer: 7878*b**2*v + 6*b*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from icjjwia. What is prob of sequence ai?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -t**2 + 48*t**3 + 15015 - 15015 + t - t to the form y*t**3 + o*t**2 + a + i*t and give y.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n**2\/3 + 45994*n + 275956\/3 = 0. Calculate n.\nAnswer: -68989, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 463 + -67?\nAnswer: 3eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sum -66 and 24.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 1  (b) -1\/6  (c) 21  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that -c**3\/5 - 9*c**2\/5 - 8*c\/5 = 0.\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3043000 (base 7) to base 13.\nAnswer: c9649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-105 + 105 + 15*b**2)*(2*b - b - 3*b).\nAnswer: -30*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -27 + 31. Let z be 3\/(2 + (-5)\/r). Suppose 10*k = 7*k + 6. Calculate the greatest common factor of z and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 2 + -2 - -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4232?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2488\/(-14) - (-7 + (-51)\/(-7)). Let y = 538\/3 + p. Let y*a**2 - 4\/3*a + 0 = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 29  (b) -1\/3  (c) 2\/13  (d) 0.2  (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 868 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 3*x = -105. What is the remainder when 60 is divided by x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 2*d**2 + 6*d + 56. Is f(-15) a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 100607 to the nearest 1000.\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.02004 + -1.02004. Let i = -6 + 4. Which is the nearest to r?  (a) 5  (b) i  (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 2*t - 4 = 0, 5*f + t + t = 2. Suppose f*h + 0*h = 6. Solve -h*v = 2*v + 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 - 2) + (1 - 38\/(-8))?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 353.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -503 = j - 505. Solve -4*l + j*f + 21 = 1, -5*l = -4*f - 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2100)\/32760*4\/(20\/3)?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/8  (b) 0.235  (c) 5  (d) 7  (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -4*b - 1. Let a(q) = 21*q + 16. Let r(v) = 7*v + 5. Let g(y) = -3*a(y) + 8*r(y). Calculate the remainder when g(-5) is divided by i(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 290765 to the power of 1\/2, to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of -2025*(-55)\/66*(-12)\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 171131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g + 3*g = t + 16, t = -g. Suppose -8 = -5*w + g*p + 16, 2*w - 4 = -4*p. Solve 0 = w*r - 18 + 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of l**3*x + 2*l**3 - 559140*l**2 + 156*l*x**2 - 217738*x**2 + 16 wrt x?\nAnswer: l**3 + 312*l*x - 435476*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 49 a factor of 1399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 0*a + 3*a - 5*a. Suppose 0 = -5*t - 3*z + 1294, 0*t = 4*t + 5*z - 1043. Let s(u) = -t*u + 257*u + u**2. Calculate x(s(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42781 is divided by 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.407 + -0.4263. Round x to three decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -180639 minus 1181.5?\nAnswer: -181820.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 18\/(-12) + 62\/4. Suppose 0 = -3*u + 46 + h. What is the remainder when 57 is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 16, 5, 0, -4 in descending order.\nAnswer: 16, 5, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 918 and 6063186?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the first derivative of 1\/30*f**3 - 1\/100*f**5 + 6 - 3\/10*f**2 + 2*f + 1\/20*f**4. Let q(m) be the first derivative of k(m). Factor q(o).\nAnswer: -(o - 3)*(o - 1)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes before 8:42 AM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1802 + 2506. What is the greatest common factor of 256 and z?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 240.6836 centimeters to micrometers.\nAnswer: 2406836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*1*sqrt(1216))**2.\nAnswer: 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2022421134 (base 5) in base 12?\nAnswer: 1461159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/3, -1, 3, 176, -5?\nAnswer: 176","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2280 > 2270?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -4*a**3 + 2*a**2 + 2*a + 1. Let c be r(-3). Let s = -16 + c. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -165*m + 5113. What is c(31)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 13213 - 3?\nAnswer: 13210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 3*z**3 - 7*z + 20*z**2 - 29*z**2 - 3*z = 0. What is z?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k - 12*k + 36 = 0. Let b be ((-6)\/(-18))\/(k\/4). Factor -2\/3*a**2 - b*a**4 + 14\/9*a**3 - 2\/3*a + 4\/9.\nAnswer: -2*(a - 1)**3*(3*a + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (17 + 4*j**2 - 17)*(5 - 4 + 3) + (-j**2 + 4*j**2 + 0 + 1)*(1 + 3 - 2)*(39 + 35 + 41)*(1 - 2 + 0) as u + w*j**2 + g*j and give u.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*b - 5*v + 35, -548 + 596 = 4*b - v for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 22 + (98 - 107) - (64 - 1)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + -1*(-2 + -1*sqrt(684)))**2*1.\nAnswer: 84*sqrt(19) + 733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l**2 - 3*l - 1. Let y be q(-5). Let g be y*(0 - (1 - -1)). Suppose 2*x - 5 = 3*k, -59 = -4*x - 3*k - g. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 + -2. Let p be 495\/(-30525)*(-4)\/(-3*4). Do l and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -9*a**2 - 6*a + 5. Let m(o) be the first derivative of -4*o**3\/3 - 3*o**2\/2 + 2*o + 2152. Calculate -7*m(v) + 3*y(v).\nAnswer: v**2 + 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d**3 + 8*d**2 - 3*d - 2. Let f(s) be the first derivative of 3*s**2\/2 - 74*s + 47. Let v be f(22). What is the remainder when 87 is divided by u(v)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -23 + (5 - (-42 - (-8 + 11)))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 + -2b3c5a?\nAnswer: -2b3c56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = 2*c - 2*m - 880, -c - 3*m + 440 = 0. Suppose -2*r = 14 - c. List the prime factors of r.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 16.59256 to 1 decimal place.\nAnswer: 16.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from qccnacdznncqannacnnn?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 24\/11?  (a) -1  (b) 119  (c) 0.4  (d) -43\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -8*s - 6. Let q be 3\/(2 - (-1)\/s). Solve -w = -q*d + 18, 5*w - 7 = -4*d - 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 355976800 to the power of 1\/2, to the nearest integer?\nAnswer: 18867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -17\/20 + 7\/20. Put g, 0.2, 1\/4 in descending order.\nAnswer: 1\/4, 0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 2*c - 25. Let n(y) = y - 7. Let o(b) = 1. Let j(v) = -n(v) + 5*o(v). Let l(f) = -5*j(f) - 3*x(f). Calculate l(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5838.19355 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*t**3 - 3*t**3 + t**3 + (2*t**3 + t**3 - 4*t**3)*(2 - 4 + 1))*(-73*t**2 + 38*t**2 + 189*t**2).\nAnswer: -616*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0, -13, 2.\nAnswer: -13, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, n: 1, g: 1, s: 1, y: 1, t: 2}. What is prob of picking 1 g and 1 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 214 - 237.6. What is o rounded to zero decimal places?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -124\/7 or -17?\nAnswer: -124\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of ((-2)\/(-4))\/((-3)\/93950)*963\/(-535)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -33043\/6 - -33059\/6. Let -x*p - 8\/3 + 2*p**2 + 2\/3*p**4 + 8\/3*p**3 = 0. What is p?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 3*a**2 + 2*a - 3. Let z be u(1). Suppose i = t - 4, 3*t + 8 = z*i - 4*i. Suppose t = -24*r + 19*r + 260. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 33586\/448 - (-11025)\/(-147).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*w + 14 - 74. Suppose -3*b + 19 = 16*p - 12*p, 3*p = -4*b + 16. Solve 0*r + w = -p*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*w - w - w)*(7*w - 4*w - 2*w) + w - 2*w**2 - w - 2*w**2 + w**2 + 0*w**2 + 5*w - 5*w - 3*w**2.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -135 - -93. Let d = 3061 + -3062. Which is smaller: s or d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -18617 (base 9) to base 8\nAnswer: -31137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 83379.\nAnswer: 4\/83379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -2437004 (base 9) in base 2?\nAnswer: -101000011001101011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -22  (b) -1  (c) -0.071  (d) -0.014\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10\/123 + 1832\/1353. Calculate the common denominator of -62\/9 and f.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, w: 3, l: 12}. Give prob of picking 1 w and 1 r.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -256 divided by 64?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*c = -3010 - 406. Let a = c + -215. Calculate the remainder when a is divided by 23.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 683.6804 minutes to microseconds.\nAnswer: 41020824000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + (51 - 103) + 31 + -6.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 12 = 7*f - 3*f, 0 = 5*f - 15. Differentiate 2*s**2 + t + 14 - 7*s**2 - 15*s**2 with respect to s.\nAnswer: -40*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**3 - 6*c**2 + 8*c - 2. Let i be k(-6). Let u be 14\/63 - i\/18. Let h(o) = -o**2 + 3*o - 1. Calculate h(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 203310 - -3313?\nAnswer: 213223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - -1 - (3 + -5 + -6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 245 - 236. What is the greatest common divisor of 81 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46609288259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**4\/5 - 3*b**3\/5 - 28*b**2\/5.\nAnswer: b**2*(b - 7)*(b + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3643?\nAnswer: 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 2905, 5758, 8569, 11338, 14065, 16750, 19393?\n\"Answer: -21*c**2 + 2916*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 65\/8088 and 47\/14496.\nAnswer: 4885152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 73 + -65. Suppose 10*q - 22 = u. Find the second derivative of 2*v - 3*v - 25*v**3 + q*v + 4*v wrt v.\nAnswer: -150*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 171 + 4064?\nAnswer: 4235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - (-24 - -32) - -21?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjjjjjfjfjjjjfjjjj. Give prob of sequence jjj.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 619209746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -4a2 (base 12) to base 15\nAnswer: -318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**3 - 135*s**2 + 392*s + 522. Give h(132).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44076.\nAnswer: 2, 3, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (p - p + 15*p**2)*(-1 - 1 + 4)*(-p + 4*p + 2*p + (-p + 2*p - 3*p)*(2 + 0 + 0)) to the form j*p**3 + k*p + s*p**2 + l and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(4050) - 3*(sqrt(4050) + (sqrt(4050) - sqrt(4050)*-2))) + sqrt(4050))\/((sqrt(110) + 1*sqrt(110))\/sqrt(11) - (sqrt(110)*-1)\/sqrt(11)).\nAnswer: -30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(1\/34)\/z*z*z)**(-1\/10) assuming z is positive.\nAnswer: z**(-7\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - 120 = -2*a. Let d be a\/(-25) - (-4)\/(-10). Suppose d*g = -g + 75. Does 10 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 = 4*j + 5*t, 0 = 2*j + t + 2*t - 15. Suppose -1173 = -26*x + j*x. What is the smallest common multiple of 24 and x?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**6*h**(-3)*(h\/(h\/(h\/h**1)))**22)**(-1) assuming h is positive.\nAnswer: h**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111010111111101100 + -100?\nAnswer: -111010111111110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -6282465 rounded to the nearest 100000?\nAnswer: -6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-2)\/(-4))\/(2\/(-4)). Let c = t - 1. Let i be 2 + 1 + -2 + c. Let q(f) = 4*f - 1. Calculate q(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 985, 1961, 2929, 3889?\n\"Answer: -4*c**2 + 988*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**2 + 8*y + 6. Let q be u(-9). Let j be 0*((-55)\/q - -4). Which is the nearest to -3?  (a) 3  (b) -1  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -50385754.3 rounded to the nearest 1000?\nAnswer: -50386000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 37474.94840377 - 37474.98. Let n = s - -0.0316. Round n to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 48 - 25. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 50, 144, 396, 884, 1686, 2880, 4544?\nAnswer: 6756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 3 + 3)*(-4*x + 43*x - 7*x) + 1247*x + 966*x + 442*x - 724*x as i*x + p and give i.\nAnswer: 1963","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-4)\/w*w**(-2)*w)\/((w**5\/w)\/(w*(w*w**(1\/5)*w*w)\/w)))\/((w**(-1\/4))**(-24)*w**(-3)\/w**6) assuming w is positive.\nAnswer: w**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -785 and 0.2.\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 80 and 1548968.\nAnswer: 15489680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 37 + -35. What is the second derivative of 2*r**4 - 8*r + q*r**4 + 0*r wrt r?\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4\/2*(6 - 0). Let x be 207\/(-4) + (-3)\/b. Let r be x\/(-8) + 2\/(-4). Solve -3*i + 3 - r = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = y**2 - 2*y - 2. What is v(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 195996 is divided by 12863.\nAnswer: 3051","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 136 divided by -527.\nAnswer: -8\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 3364\/5 smaller than 2047?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 + 0)*(-w + 0*w + 4*w) + (-7 + 7 - w)*(-1 + 3 - 1) + (-2 + 3 + 1)*(0*w - w + 3*w).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 4656284736 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 3 t when four letters picked without replacement from ttslqqqqqtqlqqqs?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-2\/7)*p**(-10))\/(p\/p**(-2\/3))**(-3\/4) assuming p is positive.\nAnswer: p**(-253\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11)*1 + -2 - (sqrt(275) + sqrt(275) + 1)) + -1 + -3 + sqrt(55)\/sqrt(5) + -1 + -4.\nAnswer: -8*sqrt(11) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*t - 2*a + 4*a, t + 2*a + 3 = 0. Suppose p + t*p - 132 = 0. What are the prime factors of ((-266)\/8 + p\/22)*-8?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 8\/2*2 - 1. What is the units digit of 19\/k - 2\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -18 - -16. Which is the nearest to -1?  (a) 1  (b) 2  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1084523 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 868317591.\nAnswer: 3, 37, 487, 16063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i - 31. Suppose 6*v - 60 - 12 = 0. Let g be l(v). Let a be 4 - 7 - (g - 1). Calculate the highest common divisor of 17 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = t - 4. Let k = 9 - t. Let p(g) = -5*g - 17. Let i be p(-4). Solve -f = -k*f - i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1827572 divided by -5282\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 31771, 30694, 28899, 26386, 23155?\n\"Answer: -359*n**2 + 32130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 460761251 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -128589, -257182, -385777, -514374, -642973?\n\"Answer: -a**2 - 128590*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2311 less than 2308?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f + 5*j = -10, -35 = 153*f - 146*f - j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -5.712 + -1\nAnswer: -6.712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7*r + r - 8*r)*(5 - 2*r - 3 + 0*r) in the form m*r + d + g*r**2 and give m.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/18)\/((-3)\/(-12)) - (-1)\/18?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 2*a**3 - 24*a**2 - 5*a + 2. What is m(12)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**5\/h)\/h**(-2\/5)*h**(2\/23)\/h**(-1\/2))\/((h*h**(-3))**(-26))**(6\/11) assuming h is positive.\nAnswer: h**(-59143\/2530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1201820 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 206458, 414895, 623334, 831775, 1040218?\n\"Answer: b**2 + 208434*b - 1977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 36 and 18097248?\nAnswer: 54291744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*a - 3*a + 2*a)*(2 + 0 - 3)*(8 - 4*a - 8) to b*a**2 + d*a + t and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -96 = -104*w - 304 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -98*a**3\/5 + 14*a**2 + 96*a\/5 - 72\/5.\nAnswer: -2*(a + 1)*(7*a - 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -31*v + 52. Let q be f(-3). Let n = q + -151. Let r(l) = 4 + 14*l + 1 + 1. Let m(h) = -5*h - 2. Determine n*r(k) - 17*m(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34778030 divided by -6955606.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 8*l**2. Let f(c) = 335*c**2 - 2*c - 13. Determine f(y(s)).\nAnswer: 21440*s**4 - 16*s**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 432*p + 1298. Let u be w(-3). Let f be (-14)\/(-4) + (-2)\/4. Differentiate u + 10 + 42*q + f - 2 with respect to q.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xfffffffvffdxdfvfffu. What is prob of picking 2 f?\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v**4\/5 - 24*v**3\/5 + 108*v**2\/5 - 216*v\/5 + 162\/5 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(539)*6 + sqrt(11) - sqrt(99)\/(sqrt(27)\/sqrt(3)))**2.\nAnswer: 19404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3944 - -3947. Solve -k*y - a - 22 = -8, -28 = y + 5*a for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-310)\/62 - 21\/(-4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -65 + 104. Let k be (0 - (11 + -2))*10. Calculate the remainder when r is divided by 4\/18 + (-1780)\/k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7025575 is divided by 117092?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -24.03 times 2946\nAnswer: -70792.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is nine fifths of a milligram in micrograms?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 7 = 5*p. Let r(y) = 20*y**p - 13*y**2 - 8*y**2. Let n(g) = 7*g. What is n(r(l))?\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1199, -0.3, -336, 0.3 in decreasing order.\nAnswer: 1199, 0.3, -0.3, -336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -53 + -95a5a4?\nAnswer: -95a637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -3*r + 11. Let d(h) = h - 271 + 271. What is m(d(w))?\nAnswer: -3*w + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 3 = 3*p, 0 = -4*q + 8*q + p + 14. Let f(b) = -15*b + 9. List the prime factors of f(q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.3 + -0.1. Let k = -0.43 - -0.03. Let y = -32093 - -64185\/2. What is the closest to 1\/2 in x, k, y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/33 and 13\/48?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4907*v - 4940*v = -9926*v - 474 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -7*m + 3. Let s(i) = i**2 + 8*i - 12. Let o be s(-9). What is the tens digit of u(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 6) in base 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.24 and 0.014.\nAnswer: 0.254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4526.\nAnswer: 2, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 3, k: 3}. Give prob of sequence fkkk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b**(-4)*b)\/b)**(2\/17) assuming b is positive.\nAnswer: b**(-6\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 73, 51, 13, -41, -111?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 != -5\/136558?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r - 14 = 3*p, -5*p + 20 = -3*r + 5*r for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1281 and 27237?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 789 - 785. Let c(h) = h**2 - 10*h + 15. Let m be c(8). Sort m, 1, k, -4.\nAnswer: -4, m, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.2 and -185.5.\nAnswer: 37.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -7, 9, 25, 41, 57?\n\"Answer: 16*s - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 + 11. What is the lowest common multiple of 9 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -2*z**2. Let s(r) = -236*r**2. What is s(d(y))?\nAnswer: -944*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes before 1:42 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 539.9 + -540. Which is the nearest to s?  (a) -78  (b) -4\/5  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (320\/12)\/5*(-375)\/(-100).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 2 = -4*k + 5*b, -3*k - 2*b = -15. Let p be k*(-5)\/(45\/(-6)). Find the second derivative of -p*d**5 - d + 2*d + 3*d**5 wrt d.\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 4*q - 4*q + 9 + 0*q + q. Let k be l(-5). Solve k*n - c - 4 = -6*c, c - 2 = -2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -289*c - 15609. Determine h(-54).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1396 + 545 = 258*s - 123 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 53044 + -5516495\/104. Find the common denominator of 45\/299 and m.\nAnswer: 2392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 403811 less than 403810?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 71684 is divided by 14114.\nAnswer: 1114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7 + -7. Suppose -2*d + 26 = d + 5*f, -5*f + 20 = r. Suppose g - 5*g - d*s + 16 = 0, 5*s = g - 4. What is g rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -67\/5870568 and -3\/81400.\nAnswer: 146764200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9, 31, 53, 75, 97, 119?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -92933 - -22303867\/240. Calculate the common denominator of -179\/120 and i.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -3, -1\/20, -2\/5 in descending order.\nAnswer: -1\/20, -2\/5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 8*t**2 - t + 2. Determine u(-2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 146, 302, 458?\n\"Answer: 156*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.22 and -29.\nAnswer: -6.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyddddyydyddyy. Give prob of picking 2 d and 1 y.\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 51254?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 9.8  (b) -1  (c) -1\/2  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 476 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 200426 - 6121?\nAnswer: 161305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 711 and 27057?\nAnswer: 6412509","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*d - 2*d - 15. Suppose d*t = 3*t + 42. Suppose 3*b + p - 27 = -2*p, 5*b = -p + 53. What is the remainder when t is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 6, p: 1, w: 1, k: 5, s: 2}. What is prob of picking 1 k, 1 p, and 1 l?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 3 = 25*d. Suppose -3*i = 4*q - 0*q + 14, -5*q = 4*i + 17. Factor d*v - 1\/2*v**i + 2.\nAnswer: -(v - 2)*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1201*t**4*z**3 - 2*t**3*z**3 - 30*t**2*z**3 - 2*t**2*z**2 - 20*t*z**3 wrt t?\nAnswer: -28824*t*z**3 - 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -3*b**2. Let g(p) = 1263*p**2 - 2*p. What is g(a(f))?\nAnswer: 11367*f**4 + 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (32\/40)\/(2\/10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -19.6436624223+0.033\nAnswer: -19.6106624223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 13*w - 17*w - 130676 = 0, 5*f = -3*w + 163353. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -163\/906 - -2\/151. Let a = -12.94 + 13. What is the nearest to 14 in g, a, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z + 5 = 3*s, -z - 2*z = -3*s + 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*w**2 - 3*w**2 + 8*w**2 + (2*w + 3*w - 6*w)*(0*w + 3*w - w))*(-3*w**2 + 0*w**2 + w**2) as r*w**2 + p*w**3 + s*w + a*w**4 + h and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32*i**2 + 64*i**2 - 27*i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -3*d + 0*d + 0*d. Let z be g(1). Let k be 1 + z + (-1 - -4). Is k less than -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = d - 1 - 0, 2*d - 2 = -3*f. Let k = -3 - f. Let z = k + 7. Solve n = -z*b + 9 - 26, -1 = 2*b - n for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 85.19 to 0 decimal places.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:47 AM and 3:42 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1053179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 35*t + 7. Let x(u) be the first derivative of 11*u**2\/2 + 2*u + 50. Let q(f) = -2*i(f) + 7*x(f). Let j(y) = 6*y. Give j(q(d)).\nAnswer: 42*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -49*q**2 + 5*q + 3. Let i(d) = d. What is -5*i(y) + n(y)?\nAnswer: -49*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the second derivative of -q**5\/5 + q**4\/6 - 5*q**2\/2 - 12*q + 14. Let u(d) = -21*d**3 + 11*d**2 - 26. Give 2*u(a) - 11*x(a).\nAnswer: 2*a**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (6 - 1) + (119 - (-58 + 139))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 67121458 is divided by 540?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 10856721800 rounded to the nearest one million?\nAnswer: 10857000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve t = -d, -18 = -5*d + 4*t - 0*t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -155\/98 at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*r + 6*r + 3128 = 0. Let j = 3077 - 2687. Which is greater: r or j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -521312 by 3.\nAnswer: -521312\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 123 = -q, 0 = 3*q - 16*g + 20*g - 419. Calculate the greatest common factor of q and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(192) + sqrt(192) + sqrt(192) + (sqrt(192) - sqrt(192)*-2) + sqrt(192)))\/sqrt(6) + 1.\nAnswer: 1 + 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 5*i - 4)*(4*i - 5*i - 2*i)*(-2*i**2 + 4*i**2 - i**2).\nAnswer: 15*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(12) - (-1 + sqrt(48))**2) + sqrt(21)\/(sqrt(77)\/(sqrt(11) + 1*sqrt(11))).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the second derivative of h**8\/8 - 13*h**4\/12 - 9*h. Find the third derivative of t(m) wrt m.\nAnswer: 840*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 365*h + 560 = -170. Let w(b) = -b**3 + 2*b**2 + b - 1. Determine w(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from azccajcaqac. Give prob of picking 1 a and 1 q.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 278 (base 9) in base 12?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 48899\/12 + -4067. What is the common denominator of -85\/44 and z?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 less than 1637988?\nAnswer: 1637983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 5  (b) 5\/2  (c) -1  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-55)\/23 - 1*(3 - 6). Which is bigger: -6 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 17 + b1c8?\nAnswer: b201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8 + -8.26. Let s = 0.26 + z. What is the biggest value in 2\/7, 0.3, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (3\/(-4))\/((-12)\/32). Let n = -13.1 + 13. Which is the third smallest value?  (a) n  (b) 2\/5  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -10, -24, -48, -88, -150, -240, -364?\n\"Answer: -l**3 + l**2 - 10*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7926 + -79179\/10. Let f = -71341\/500281 + 1\/2371. Let y = f - 5127\/4009. What is the common denominator of a and y?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3*((-33)\/(-9) - -3). Suppose 7*s - o = 2*s. Let u = 5 + s. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 6\/15 - (-7)\/(-5). Let h be 1 + v\/(2\/(-40)). Suppose 3*s - h = 33. Is s a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 52711755 is divided by 52711752.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 680 minutes before 7:09 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 7*y + 16. Let c be f(4). Suppose 14 = 2*z - 8. What is the greatest common factor of c and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 + 25. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15 + -8 - 8 - (-1 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) 3  (b) -3  (c) 1  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 313717?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 577251510.\nAnswer: 2, 3, 5, 11, 1749247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 23 plus 0.029952?\nAnswer: 23.029952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 6013.949l in millilitres?\nAnswer: 6013949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g**3 - 51*g**2 + 188*g + 76. What is n(47)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = -4*l, 5 = -4*a - 6*l + l. Let p(z) = z**2 - 163 - 175 + 518 - 173 - 4*z + 0*z**2. Give p(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the second derivative of c**5\/4 - c**4\/12 + c**2\/2 + 11*c. Let v = -50 - -49. What is q(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-30*x + 40*x - x**2 + 0*x**2)*(-1 - 5 - 4 + (-7 - 15 + 6)*(-6 + 2 + 2)) + (0 + 3 - 4)*(8*x**2 - 3*x**2 - 7*x**2) to d*x + z*x**2 + u and give d.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 52851929?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -43 - -46. Let c(l) = 5*l**2 + l**q - 7*l**2 + 6 - l**2 - 3*l. What is c(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = -2, 0*n + 17 = 2*f + 5*n. Let z = 51 - 36. Suppose w = 19*w + 14*w. Solve w = 3*y - f + z for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 62*b*l**2 + 3*b*l*o - 5*b*o**2 - 2*l**3*o**2 - l**3 + l*o**2 - 6*o**2 wrt l?\nAnswer: 124*b - 12*l*o**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -21365, -21408, -21461, -21518, -21573, -21620, -21653?\n\"Answer: q**3 - 11*q**2 - 17*q - 21338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 23447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*h + 28 = 97. Suppose 5*s - 2*u = 95, -h*s - u = -3*u - 57. Let i = 213\/4 + -53. Which is smaller: s or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -8*g**2 - 5*g. Let s(o) = 16*o**2 + 10*o. Determine 11*l(t) + 6*s(t).\nAnswer: 8*t**2 + 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 187.9 - 31.9. Let f = 159 - a. Let u = -1 + -2. Put f, -1\/3, 4, u in increasing order.\nAnswer: u, -1\/3, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**2\/10 + 9969*l\/5 - 419139\/10.\nAnswer: (l - 21)*(l + 19959)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 17  (b) -0.1  (c) -6  (d) 0.12  (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/6*-1*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3\/4  (b) 3  (c) -12  (d) -5  (e) -64923.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 878*x**4 + 716*x**2 wrt x?\nAnswer: 21072*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1074, -1102, -1172, -1302, -1510?\nAnswer: -1814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -53*c**3 - 8 + 52*c**3 - 11*c + 7 to d*c + z*c**3 + y + u*c**2 and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1434663 to the nearest integer?\nAnswer: 1198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -o + 466, 0*t + 4*t = 0. Let f = o - 247. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jjjv when four letters picked without replacement from {v: 1, u: 3, e: 4, w: 7, j: 3}.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by -3915?\nAnswer: 1\/783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i**2 - 32*i + 177. Suppose -3646*a = -3682*a - 1887 + 555. What is u(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 p when two letters picked without replacement from {m: 1, k: 1, p: 5, w: 3, q: 2}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-2*3))\/(8\/(-4))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 583 minutes before 11:38 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 62385548 to the power of 1\/3, to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20*b - 57*b + 70*b)*(11 + 7 - 4).\nAnswer: 462*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h + 4*c - 18, c - 10 = 3*h - 3*c. What are the prime factors of 1\/((-4228)\/1412 + 3)*h?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -907 + 911. Let x(j) be the second derivative of 6*j + 1\/2*j**2 + 0 + 7\/12*j**m - 1\/3*j**3. Determine x(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26 = -15*f + 11 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 514079 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -3 + 7*l**3 + 1 + 2 + 2*l**2 + 4*l + 3 - 5. Let w(q) = 35*q**3 + 11*q**2 + 21*q - 11. What is 11*j(h) - 2*w(h)?\nAnswer: 7*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 46.18 - 5.18. Is 5 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7 - 4. Let k be r*((-16)\/6 + 3). Suppose 0 = -z + k. Calculate the highest common factor of 9 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 940\/(-282)*1\/5.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 279*y - 1631 = 46*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(8))**2 + -4 + (-2 + sqrt(288))**2).\nAnswer: -592 + 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 minutes after 7:06 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -254*q**2. Let u(l) = 2*l**2. Calculate a(u(z)).\nAnswer: -1016*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2 - 3)*(-12*x + 5*x - 11*x) + 2 - 2 - 2*x.\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 78*m**3 + 2*m**2 + 3*m - 3. Let b be n(2). Suppose -2*p = 5*x - 25 - 2, 4 = x - p. Suppose b = 10*k - x*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2211 and 291995.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {v: 7, k: 5, r: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = -5*l + 351. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 195148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 3 times -6.1\nAnswer: -18.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes before 10:56 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 120 and 345?\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -5*s - 27. Let v be b(-6). Let j be (-357)\/(-2) + v\/(-6) + -2. Let d = j - 118. Does 29 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (8*q**3 - 6*q**3 + 0*q**3 + (1 - 1 + 3)*(-q**3 + 0*q**3 + 2*q**3))*(-3 + 0 + 2) in the form f + s*q + y*q**2 + r*q**3 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2950.2 - -2950. Let l = 32 + -17. Let t = 6 - l. What is the biggest value in t, g, -3\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l = -14*l - 119 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4*y**4 + 5*y**2 + 43*y + 4202.\nAnswer: 16*y**3 + 10*y + 43","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 30517343 or 30517342?\nAnswer: 30517343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -5 (base 13) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 19 - 7. Let o be 301\/63 - (-2)\/9. Solve -o*t = -f - f - 2, 2*f + 2*t = b for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 419 minutes before 12:40 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 312998017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -145 - -466. What is the remainder when s is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3386712?\nAnswer: 2, 3, 7, 19, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*h**4\/11 + 28616*h**3\/11 + 771444*h**2\/11 + 350568*h + 5398218\/11 = 0. What is h?\nAnswer: -14281, -21, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 3*n - 14 = -0, -5*n = 5*l - 15. Solve 5*r = 4*w + 25, 4 = -l*r + w + 14 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in three fifths of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/(-4))\/((-34)\/136)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 173 divide 107716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1114070 divided by 3011\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 45380 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 19 = -6. Suppose -b*j = -22*j + 508385. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.2275339 to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 265 = 5*x, -3*x + 0*x = -j + 169. Let n(l) = 13*l - 14. Let y be n(13). Let p = y + x. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 - -3.003. Let y = -22.997 - h. Let a = y + 22.9974. Round a to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 68097649?\nAnswer: 37, 503, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 3 - 0.1158\nAnswer: 2.8842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3412 - -4666. Calculate the greatest common divisor of j and 462.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 3*t**2 - 7. Suppose 3*w + 0*s + 3 = -5*s, w + 1 = 2*s. Let r be (w + 0)\/((-5)\/20). What is the units digit of y(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 3, w: 5, s: 3, x: 2}. Give prob of picking 2 s.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 638 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*u = y - 18, 5*u - 4 - 2 = -15*y + 16*y for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 + 8. Suppose 0 = -f*l + 2*l + 240. What is the greatest common divisor of l and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2795845.\nAnswer: 5, 13, 43013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - (-141)\/33)*10\/35?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 + 4 - 3) + -4 + -2 + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 times -0.06624?\nAnswer: 0.03312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.054 and -2.\nAnswer: 0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.12 + 0.02. Let f = x - -0.01. Let t = -4.91 + f. Which is the nearest to 1\/3?  (a) t  (b) 0.2  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -11*p + 150. Determine s(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/(-45)*230\/(-552).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 12 = -3*i + 3, i - 2*a = 3. Calculate the common denominator of 1 + (-1 - 133\/6) and (2\/20)\/(i\/(-4)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 178 = 5*p, -302 = -2*c - 4*p + 30. Let y be (-165 - -160)*(1 + -3). What is the units digit of c\/y - 1\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.3, 2\/19, -0.037?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -5 - (5 - (-7 - (11 + -19)))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that -2*w**2 - 37153068*w - 172543807726578 = 0.\nAnswer: -9288267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -14414041 - -5?\nAnswer: -14414032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -10822*g**3*s**3 - 8*g**3 - 3*g**2*s**3 + 2*g**2*s**2 + 64*g*s**2 - 3*s**2 wrt s?\nAnswer: -64932*g**3 - 18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 144501694?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) -4\/3  (b) -215\/66  (c) -4  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4146282, -4146278, -4146274, -4146270?\nAnswer: -4146266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-80)\/(-75)*9\/(-12)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 19, -0.4, -382, 0.5 in descending order.\nAnswer: 19, 0.5, -0.4, -382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(1*sqrt(68) - sqrt(68)) - sqrt(68))\/(sqrt(324) + 2*sqrt(324)) + (-3*sqrt(34)*1)\/((sqrt(2) - sqrt(72))*-1).\nAnswer: -86*sqrt(17)\/135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 6*s**3 + 17*s**2 + 17*s + 17. Let p be (-198)\/(-44)*(-8)\/(-6). Let w(c) = 2*c**3 + 6*c**2 + 6*c + 6. What is p*j(i) - 17*w(i)?\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 23d - -204?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**3 + 64*u**2 + 28*u - 2161. Calculate o(64).\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -601.3 - -601.9. Which is the second smallest value?  (a) 1\/6  (b) f  (c) -127\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 - 2 - 1 - 37128*n + 35709*n + (-1 - 2 + 5)*(2*n + 0*n + 0*n) - n + n + n in the form f*n + l and give f.\nAnswer: -1414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 - 2*r + 3 + 5 - 4*r + 2*r + 0*r + (2*r - 6*r + r)*(1 - 1 - 1).\nAnswer: -r + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 5\/2 less than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -46 divided by 4?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 494 divide 163514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 22\/(-70) + 21\/(-280)*-8. Which is the closest to 0?  (a) 1\/5  (b) 2\/5  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -2*u + 3. What is the remainder when ((-72)\/u)\/(-3) + 3 is divided by 38\/9 + 2\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8 - -17. Suppose 0*n - 3*n + 39 = 0. Put n, q, 2 in descending order.\nAnswer: n, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-5 - (-48)\/9) + 5698\/6. Suppose 0 = 2*d + 3*l + 595 - 1538, -2*d + z = -4*l. What is the greatest common divisor of 43 and d?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 39528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 3*f - 18 = -4*k, -5*k = 5*f. Let l be 5 - -1 - (k + -1). Suppose -9 - 91 = -5*i. Solve -19 = 5*c + 6, 3*d + i = -l*c for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1 and -0.065714?\nAnswer: 1.065714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5437656 is divided by 1812550.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1516 + 5816 = -526*n - 1610 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c - 3*j = 2*c + 7, 4*j - 32 = 5*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 24703 and 70.\nAnswer: 247030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1692*r**3 + 31*r**2 - 67*r**2 + 36*r**2.\nAnswer: -1692*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:59 AM and 4:37 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -38787828 + -0.52.\nAnswer: -38787828.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/196*-7*((-700)\/91 + 5).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qlcz when four letters picked without replacement from jczqlzpq?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - (-38 + -17 - -57)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 12.8 + -13. Which is the third biggest value?  (a) -64  (b) -3  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, 0.16, 4, 3\/4, -4, 0.2, -2\/431?\nAnswer: -2\/431","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3321 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j + 3 + 25 = 14, 4*j + 12 = 4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 3825945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*u + 5*u - 3*u + (3 + 0 - 4)*(-u - 2*u + 4*u) - 2*u + 0 + 0 - 415*u - 86*u - 45*u - u + 1 - 1.\nAnswer: -551*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3)\/(15\/(-10) + 1). Is a\/4*17612\/51 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 3178 - 3194 = 0. Put -3, k, -2, 20 in increasing order.\nAnswer: k, -3, -2, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 22*g + 50 = 0. Solve 0*l + 5*l = 3*b - 12, g*b - 2*l = 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -63405 (base 7) to base 3\nAnswer: -210110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*r**2 + 0*r**2 + 0*r**2 + (-11*r**2 + 3 - 3)*(7 + 3 - 5))*(-8*r - 4 + 7 + 7*r) to k*r + q + l*r**3 + j*r**2 and give j.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0006528 to 5 dps.\nAnswer: 0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4\/11, -2656.7, -10?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12\/2 + 40\/(-6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v**33\/v))\/v)\/(v\/(v\/(v*v\/(v*v**17))*v)) assuming v is positive.\nAnswer: v**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.5, 6\/5, -5, -3.1?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 432736894 and 758?\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -64 - -64.000116. Round y to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*l + 5509 = -11039. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/13 + ((-3335)\/416 - -8). Put -3\/2, -5, -0.1, s in ascending order.\nAnswer: -5, -3\/2, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 0.5, 647, -0.113?\nAnswer: -0.113","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) 1.2  (b) -40194  (c) 0.4  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3.1661 - 343109453.\nAnswer: -343109449.8339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 82190239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*o + 3478326 = -1570874. What is o rounded to the nearest ten thousand?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 767894332.\nAnswer: 2, 191973583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 22*i**2. Let g(v) = 38*v**2 + 2*v - 9329. Determine g(z(j)).\nAnswer: 18392*j**4 + 44*j**2 - 9329","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rj when two letters picked without replacement from jrkurrrm.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*v = -48*v - 105. Let j(q) be the second derivative of -q**5\/20 - q**4\/6 - 2*q**3\/3 - 3*q**2\/2 - 2*q. Calculate j(v).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43982670.5 rounded to the nearest one hundred thousand?\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-41)\/328 + 9\/24\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -649*r - 3041?\nAnswer: -649","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(304)*1*6 + -2)**2.\nAnswer: -96*sqrt(19) + 10947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the third derivative of -r**8\/40320 - r**7\/1260 + r**6\/160 - 13*r**5\/20 + 6*r**2. Let u(m) be the third derivative of q(m). Factor u(s).\nAnswer: -(s - 1)*(s + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 46962 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 9*r + 8. Let l be (-4)\/(-6) - (-1260)\/(-189). Calculate t(l).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 + 3*h**2 - 1 + (2 + 0 - 3)*(-73*h**2 - 50*h**2 - 69*h**2).\nAnswer: 195*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 23*b**3 - 2455*b**2 + 850*b**2 - 18*b**4 - 2188*b**2 + 897*b**2 wrt b?\nAnswer: -432*b + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h**(-29)*h**(3\/23))**(-32\/7))**(14\/5))**(1\/14) assuming h is positive.\nAnswer: h**(21248\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-9)*o*((o*o**(-2\/11))\/o)\/o)**(-45)\/(o**(1\/7)*o*o*(o*o**(2\/13))\/o*o)**30 assuming o is positive.\nAnswer: o**(314595\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 + 1. Let v = -0.483 - 4.517. Let x = -1.4 + 1. Which is the closest to g?  (a) v  (b) x  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3\/12 - 33\/(-12). Suppose -b*d + 331 = 73. What are the prime factors of d?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 318 at least as big as -0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**3 - 5*g**2 + 4*g + 3. Let b be f(4). Solve 0 = 5*z - 3*l + 18, b*l + 2 = z + 8*l for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5960*s - 90 = 5942*s. Let r(b) be the first derivative of 2\/3*b**3 - 3\/2*b**2 - 1\/6*b**6 + 17 + b**4 + 0*b - 2\/5*b**s. Factor r(z).\nAnswer: -z*(z - 1)**2*(z + 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6 - 6. Suppose 3*k - 5*k + 44 = o. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.061 - 4387953879?\nAnswer: -4387953878.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -t + 8. Suppose 2*z = 4*d - 2, 3*d = -d - 5*z - t. Let y be (d + 2)\/(-3) - 42\/(-18). Which is the closest to 0.2?  (a) y  (b) -4\/5  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7364804.\nAnswer: 2, 1841201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2419 and 287?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from ffnvvfvf.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*p + 310 = -29*p - 46*p for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(45)\/(-1*sqrt(9)).\nAnswer: -sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -4*p + 52. Let f = -7 + p. Calculate the remainder when 11 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z**3 - 8*z**2 + 9*z - 11. Is h(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2579133*d**3 - 289790*d**3 - 1310816*d**3.\nAnswer: -4179739*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-19)\/(-6) + (20\/24)\/(-5). List the prime factors of (-4)\/(1*q\/(-21)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1730625 to the power of 1\/2, to the nearest integer?\nAnswer: 1316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + c = 35, -71*c + 74*c = -5*m + 90. Sort m, -7, 5 in decreasing order.\nAnswer: m, 5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k**3 - k**2 + k - 59. Let v be d(0). Let u = v + 84. What is the remainder when 74 is divided by u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -36, -181, -428, -783, -1252, -1841?\nAnswer: -2556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0037853224 to six decimal places.\nAnswer: 0.003785","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -137\/50615500 and 49\/10123100?\nAnswer: 50615500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -y**2 + y**2 + y**2 - 3*y**2 + y**2 + y**2 + (-2 + 2 + 2)*(-y**2 - 4*y**2 + 6*y**2) + y**2 - 6*y**2 - 24 + 26 in the form v + c*y**2 + i*y and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2021223 (base 4) to base 8.\nAnswer: 21153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -4*r + 93. Let y(n) = -2*n**2. Determine y(j(x)).\nAnswer: -32*x**2 + 1488*x - 17298","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 12460 (base 15) in base 8?\nAnswer: 161775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7582305?\nAnswer: 3, 5, 499, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 30491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 116684 is divided by 136.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 8539807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -26204115*l**3 - 9362512*l**2 wrt l?\nAnswer: -157224690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*s**2 - 5*s**2 + 0*s**2 + 3*s**2 - 4*s**2 - s**2 + (-2 + 1 + 2)*(-2*s**2 - 5*s + 5*s) - 2*s**2 + 0 + 0)*(-34*s - 9*s - 32*s).\nAnswer: 825*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 27289, 54563, 81825, 109075, 136313?\n\"Answer: -6*n**2 + 27292*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4261589?\nAnswer: 4261589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**3 + 35*z**2 - 75*z - 5. Give c(-37).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -l**2 + 66*l + 3. Let r be n(0). Solve r*f = -2*u + 1, 9 = 4*u - 0*f - f for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 9) to base 5.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**3 + 5*t**2 + t + 2. Let s be m(5). Let g(a) = 6*a - s*a + 8 - 3. Give g(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -35\/6 and -137\/11076?\nAnswer: 11076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 39 - 26. What is the remainder when 51\/51*(51 - 0) is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 12*t. Let r(a) be the third derivative of -a**5\/5 - 85*a**2 - a. Calculate r(v(u)).\nAnswer: -1728*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -972*x**4 + 8*x + 3 wrt x?\nAnswer: -11664*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = 29 - 9. Let g(d) = d + 8. Let a be g(w). Let c(j) = -3 + 3*j - j**2 - 4 + 4. Give c(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = -3*q + 48, 0*r - 2*r - 27 = 3*q. Let s = 45 + r. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 9*p - 835. Let b be m(116). What is the highest common factor of 551 and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.67 + 1.07. What is the third biggest value in -5\/4, -3\/5, y, 0.2, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9 or -80\/3?\nAnswer: -80\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the third derivative of -r**5\/60 + 11*r**4\/24 + 3*r**2 - 7*r. Factor d(c).\nAnswer: -c*(c - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -31 - -4. Let p = x + 58. Suppose 4*u + 3 = -4*c + p, -5*u = -3*c + 53. What is the remainder when 53 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:49 PM and 4:28 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -54*q**2 - q. Suppose -186*s = -91*s - 138*s + 43. Determine k(s).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 144 divide 24039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4848, -38756, -130778, -309972, -605396, -1046108, -1661166, -2479628?\nAnswer: -3530552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that -2*h**2\/11 - 144*h\/11 - 1624\/11 = 0.\nAnswer: -58, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-30392)\/4284 - (-18624)\/2619?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -17 + 51. What is the remainder when 168 is divided by f?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0 and -113269341508.\nAnswer: -113269341508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 142 - 85. Let n = m + -29. Let o = n + -13. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f + 3*n - 88, -f + 3*n = -39 - 14. Which is greater: f or 46?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -788 - -1346. What is the remainder when v is divided by 80?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 64\/3575 and 47\/66.\nAnswer: 21450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the first derivative of 8*g**3 + 7*g + 20. Differentiate l(z) with respect to z.\nAnswer: 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t**2 + 40173*t - 401825. Determine i(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**3\/5 - 58*j**2\/5 - 113*j\/5 - 56\/5.\nAnswer: -(j + 1)**2*(j + 56)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.155957 plus -4?\nAnswer: -4.155957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*h - 751377 = -13*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 22 - 45\/2. Let g be ((-4)\/(-6))\/(38\/(-6)). Let u = 2250 + -2254. Which is the closest to m?  (a) 1  (b) u  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 45\/44 and 1 - (0 - 2) - ((-25685)\/(-2728) - 6)?\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that s**3 + 76793*s**2 - s - 76793 = 0.\nAnswer: -76793, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 = -3*z + 5, 3*a - 4*z = -4*a + 4*a + 29 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*w - 3*w - 3*w + 2*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -4*w**3 + 196*w**2 - 161*w - 1483. What is p(48)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/(-5) + (-36)\/(-15). Suppose 3*y + j - 4*j - 15 = 0, w*j + 8 = y. Solve 2*p = -0*p - y for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 662 - 1807 = -c. Suppose 2*k - 3*r = 458, 6*k + 2*r - c = k. Let t = 350 - k. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 7}. What is prob of picking 4 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2  (b) -0.4  (c) -1\/2  (d) 33  (e) 67\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (54\/(-45))\/((-42)\/(-20)). Put -1, g, 4 in decreasing order.\nAnswer: 4, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 + 1 + 4480\/1960 + (-44)\/(-7)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-3\/4)*d**(-2)*(d\/(d*d\/((d\/(d**(-6)\/d*d))\/d)))\/d**(2\/3)*d**(-8)\/d**(-2)*d*d**3*d**6 assuming d is positive.\nAnswer: d**(67\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 106*y**6 - 8*y**5 + 165*y**4 + y**2 + 38041*y wrt y?\nAnswer: 12720*y**3 - 480*y**2 + 3960*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**3 - 5*x**2 - x + 5. Let o be k(5). Suppose i + 48 = 62. Solve o = -t + 3*t - 4*u + i, 0 = -t - 3*u + 13 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.064592 to 2 dps.\nAnswer: 2.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 4928510 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) -0.2  (b) 89  (c) -37  (d) 0.3  (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -23\/19 in 0.5, -8.24, 0.4, -5, 0.1, 12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 125912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the second derivative of 0 + 0*q**2 + 0*q**3 + 1\/10*q**6 + 31*q - 9\/20*q**5 - q**4. Factor j(y).\nAnswer: 3*y**2*(y - 4)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 156345465?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-23)\/r)\/r**19)\/(r*r*r*r**(3\/10)*r*r**39) assuming r is positive.\nAnswer: r**(-863\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 + -4 - (10 + -11)) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the first derivative of r**4\/4 + 7*r**3\/3 + 5*r**2\/2 - 2*r - 4. Let n be c(-6). Suppose 19 = 5*w + n. Put w, -4, -3 in descending order.\nAnswer: w, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -374 = 206*c - 240*c for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36\/(-45)*2\/(-2)*5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 4, -4, -8\/7, 5\/4, -2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 83 or 791?\nAnswer: 791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-34899)\/221027 + -397*2\/266\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 185265892?\nAnswer: 2, 7, 197, 33587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4894681.\nAnswer: 11, 444971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 4)*(-1 + 3 + 8)*(-2*r + 2*r + 2*r**2).\nAnswer: 40*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*a + 9*a**4 - 2*a**5 - 24*a**3 + 16*a**2 - 6*a + 3*a**4.\nAnswer: -2*a**2*(a - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*h = -11 + 18 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1 - 1104*w**5 + 14*w**3 - 1116*w**5 + 2222*w**5 - 2*w - 59*w**6 + 2782*w**2 + 2*w wrt w.\nAnswer: -7080*w**3 + 120*w**2 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -412466552 + 3?\nAnswer: -412466546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 87 and 2117?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -35169 + 40391. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**1*u*u)**(9\/7))**0 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10712999062254 - 2.\nAnswer: -10712999062256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 - -110111110?\nAnswer: 110111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the third derivative of -1\/24*p**4 + 0*p + 1\/6*p**3 + 0 - p**2. Suppose 0 = -r + 5*i - 20, -6*r + 2*r + 3*i = 12. Calculate g(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 66 divide 35310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 26241811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20970*z**2 - 27243*z**2 + 48215*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 195 - 6505*j**2 - 4835*j**2 + 180*j**2 - 180.\nAnswer: -11160*j**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -61, -61, -63, -67?\n\"Answer: -g**2 + 3*g - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -49609, -49653, -49749, -49915, -50169, -50529, -51013, -51639?\n\"Answer: -3*x**3 - 8*x**2 + x - 49599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 600076945 to the nearest integer?\nAnswer: 24496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -200, -415, -590, -719, -796, -815, -770?\n\"Answer: c**3 + 14*c**2 - 264*c + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -123 + -203?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1900 by 25.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2368 - -16575\/7. Put -2, -1, a, 24 in increasing order.\nAnswer: -2, -1, a, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.3902 - 14.1638. Let v = 44.7 - 44.554. Let f = a - v. Round f to zero dps.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.82 in 5\/4, -11, -1?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 4*m = -39252, 22*m + 52361 = 4*c + 19*m. What is the thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is u in -12*u**5\/13 + 2978*u**4\/13 + 25268*u**3 + 1824922*u**2\/13 + 1240468*u\/13 - 19920 = 0?\nAnswer: -78, -5, -1, 1\/6, 332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 575522297.\nAnswer: 7, 11745353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -198*d + 153*d + 450 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1\/10 of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2015591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 443 - 439. Suppose -2*m - z*r - 18 = 0, -2*r - 7 - 5 = -2*m. Solve -29 = 6*n + m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47756341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, 0.3, 7, 0.1.\nAnswer: 0.1, 0.3, 7, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 463 = 29*p + 144. List the prime factors of (62\/(-3))\/(3416\/312 - p).\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -368 = 38*j - 121*j - 33*j + 24*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((51\/(-2))\/(-3))\/((-10)\/(-120)). Let g = n + -102. Solve -9 = -5*a - d, g = -0*a + 3*a - 3*d - 9 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15 + -529 + 532 + (-1 - -2).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 276 and 276?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4251)\/(-12) + 35\/(-140). Sort y, -10, 4\/5, 0.4 in decreasing order.\nAnswer: y, 4\/5, 0.4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -15, -17, -21, -27?\n\"Answer: -h**2 + h - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -4*m + 10. Let c(p) = 3*p - 8. Let d(k) = 5*c(k) + 4*v(k). Let x(b) = b - 4. Let o(n) = 4*d(n) - x(n). Calculate o(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6301 + 6293.047. Round r to 1 dp.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 11819094, 23638190, 35457286, 47276382, 59095478, 70914574?\n\"Answer: 11819096*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29264323?\nAnswer: 11, 61, 43613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 15, -3, 0.5, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*i + 4*i - i**2 - 8*i**3 - 4*i - 10*i**3 - 6*i**4 + 20*i**3 in the form r*i**3 + u*i + p + n*i**4 + q*i**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-20)\/(-15)*(1 + (-25)\/22). Which is the fourth smallest value?  (a) v  (b) 0  (c) -0.3  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 + 37 = 42*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*v + 76 = 20*v. Suppose -5*b - 11 = v. Let n(o) = o**3 + 7*o**2 + 7*o + 6. Let r be n(b). Sort 2, r, 3 in decreasing order.\nAnswer: 3, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -21 or -64185\/2969?\nAnswer: -64185\/2969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -358 - -484. Let y = 580 - 564. What is the remainder when t is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 245433649 at least as big as 245433647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2913 is divided by 446?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n**4\/8 + 45*n**3\/4 + 63*n**2 + 363*n\/4 + 315\/8 = 0 for n.\nAnswer: -3, -1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1295906*q**2 + 1295897*q**2 - 43*q + 43*q.\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 275 = 2*d. Let u = 169 + d. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 64*(-5)\/55 - 12\/(-2)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1127, 2350, 3561, 4754, 5923, 7062, 8165?\n\"Answer: -a**3 + 1230*a - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 144\/(-15)*(-19)\/((-13376)\/(-160)).\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 3, 5, 2, 1, 25, -98.\nAnswer: -98, -5, 1, 2, 3, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 172537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/((g\/(g*g*g**3*g))\/g)*g**(-1\/8))\/(g*g**(-1\/3))**(-6))\/((g\/((g\/(g\/g**(3\/7)))\/g))\/g*g**(1\/8)\/g)**(-46) assuming g is positive.\nAnswer: g**(-173\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2.342 - 1.742. Sort m, -0.033, -2\/7.\nAnswer: -2\/7, -0.033, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 1, -77, -8.\nAnswer: -77, -8, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(200) - sqrt(200))*-2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**3 + m**2 + m + 1. Let q(w) be the third derivative of w**6\/120 + w**5\/30 + w**4\/24 + 7*w**3\/3 - 2*w**2. Let u(b) = 2*d(b) - q(b). Calculate u(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**3 + 1 - 2*x + 0*x**3 + 0*x**3. Suppose -5*w = f - 10, 0 = -2*w + 3*w - 5*f + 24. Determine j(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the first derivative of 11*c**2\/2 - 3*c - 2. Is 5 a factor of m(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/3 < -105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:53 PM and 5:36 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 19\/(-4) - -5 - (-495)\/4. Let m(d) = 70*d**2 - d**3 - r*d**2 + 49*d**2 + 5*d - 5. Give m(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-55*u - 73*u + 19*u)*(-1 + 3 - 4 + (4 - 2 - 4)*(2 - 4 + 0)).\nAnswer: -218*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbrrrbrnhrhr. Give prob of sequence hn.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:00 AM and 9:50 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -55*f**2 - 1. Let t be a(-1). Let n = 87 + t. Calculate the remainder when n is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -1\/4, 1\/86, -0.1, -225?\nAnswer: 1\/86","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1.7 or 983?\nAnswer: 983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -23*d - 8. Let z(i) = 23*i + 7. What is 6*c(t) + 7*z(t)?\nAnswer: 23*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((sqrt(252) - (sqrt(252) + (sqrt(252) - 4*sqrt(252)*2) - sqrt(252))) + 5 + 0 + sqrt(252) + sqrt(252))**2 + 2.\nAnswer: 600*sqrt(7) + 25227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -318186 + -3?\nAnswer: -318189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20 - (4 + -5 + 1 - -7).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(1\/11)\/(f\/(f**5*f))*(f\/(f*f*f\/(f*f**1\/f)))\/f**(1\/4))\/((f*f\/(f*f**1)*f)**37\/(f**(1\/5)\/(f**(1\/6)\/f))) assuming f is positive.\nAnswer: f**(-21203\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide (-5 - (-3 - 137)) + 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b + b + 3*b - b - 5 + 5 - b - 3*b + 2*b + (2 - 1 - 3)*(3*b + b - 6*b))*((2 - 5 + 2)*(6 - 3 - 1) - 1 + 0 + 0 + 0 - 5 + 2).\nAnswer: -36*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26793.\nAnswer: 3, 13, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 124945?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/((28\/88)\/(-7)). Suppose -5*s + 3*t = -m, -2*s - 2*s + 25 = 5*t. Suppose -6 = -0*g - 2*g, s*o + g = 8. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1758386934.\nAnswer: 2, 3, 197, 165293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 1 - 3 - 1 + 8*v. What is the tens digit of d(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4356 and 1342?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*o - 20*o + 90 = 0. Let z = 124 + o. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35741418.\nAnswer: 2, 3, 67, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (60\/(-24))\/((-38465)\/(-628)).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 154463766 by 31098.\nAnswer: 4967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 550*r = 535*r + 135. Suppose -56 = -o - 7*o. Solve b - o = -r for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -143, -127, -111?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2, 0.3, -1\/6, -2, 4\/35?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 461563 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: Expand -2*n + 4*n + 0*n + (-2 + 1 - 1)*(0 - 2*n + 0) + (-2*n + 2*n - n)*(-514 - 1231 - 1447).\nAnswer: 3198*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -536, -1087, -1638, -2189, -2740?\n\"Answer: -551*h + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 43703.3 rounded to the nearest one hundred?\nAnswer: 43700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 19441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 11*s - 9*s. Let r(g) = g**2 + 4*g - 6. Let m be r(s). Suppose 5*n = 6*n - m. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20*(-7 + (-658)\/(-70)) - -4*(-1 - -4).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 81715427 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: -18493 times -4\nAnswer: 73972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1298690221 rounded to the nearest ten thousand?\nAnswer: 1298690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 3*t**3 - t**2 - t + 1. Let d be (5\/(5\/(-1)))\/(-1). Let x be m(d). Suppose -4*w = 4*h - 24, x*h - 3*w + 4 = -w. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -3, 268 - 302 = -4*o - 2*i. Put 11, 0, o, 2 in ascending order.\nAnswer: 0, 2, o, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o. Let c be i(-1). Let t(g) = -139*g + 14092. Calculate the remainder when t(101) is divided by c + -3 - (1 - 17).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 401 minutes before 5:39 PM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22.05*0.04.\nAnswer: -0.882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000735548 rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 80293 and 11.\nAnswer: 883223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the third derivative of 0*z + z**2 - 19\/2*z**3 + 0*z**4 + 0*z**5 + 6 + 2\/15*z**6. What is the derivative of s(l) wrt l?\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (116\/6)\/(2\/(-6)). Let a = b - -109. Calculate the remainder when a is divided by 26\/(-34 + 28 + 8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve r - 3*r = -10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f**2 - 18*f - 21. Let c be n(21). Calculate the highest common divisor of c and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 8 - 2 = -5*t, 0 = -3*v - t + 6. Let k(q) = -q**2 + 161*q - 4839. Let g be k(121). Solve -v*n + g = -5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (3\/14)\/((-9)\/(-12)). Let f(m) = -2*m**3 - 120*m**2 - 1638*m + 1. Let p be f(-39). Which is the fourth smallest value?  (a) -3  (b) 2\/77  (c) p  (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 66092*b**4 + 9*b**2 - 2*b + 1033?\nAnswer: 1586208*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1641769.\nAnswer: 311, 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 0.06, 0, -3, 3\/4, -1\/3, -1, -0.575?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = -221 + 219. Let f(o) = 29*o + 32. Let a be f(i). Solve 0*w - 6 = a*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (360\/300)\/(1749\/(-55)) - 4774\/(-106).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -273, -259, -233, -189, -121, -23, 111?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the first derivative of 29*t**3\/3 - 2*t**2 + 13*t - 23. Is c(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 26?  (a) 0.672  (b) 8  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**2 + 17*b + 1. Let g be r(16). Let d = g - 13. Suppose 3*p = d*x - 100, -x + 4*x + 5*p = 75. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 759 divide 80213397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 83*t**3*v*y - 19*t**3 + 14239*t**2*v*y + 2*t**2*v + 5*t**2 - 5*t + 1 wrt y?\nAnswer: 83*t**3*v + 14239*t**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*n - 12*n + 4 = 0. Let g be 2\/(2\/n - 5\/(-3)). Let f = 0.5 - 0.3. Which is the closest to 0.1?  (a) g  (b) f  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0009834 to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -83.2 * 59\nAnswer: -4908.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 4513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.03 - 1. Let r = 12\/601 - -16648\/9015. Let l = r + -53\/15. What is the third smallest value in n, l, -0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*-3*6*(-1*sqrt(2268) + -2)*6*2)**2.\nAnswer: 53747712*sqrt(7) + 1696038912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-38)\/19*(-1134)\/84.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {n: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 60545 - 25792. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 733 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -41.44 - -0.44. Let j = -40.9901 - u. What is j rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, -6719, -2\/9, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = 10*g - 6*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.38 - 0.28. Let v = 0.32 + -0.02. Which is the closest to t?  (a) 1  (b) v  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**2 - 41*g + 43. Is x(-25) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -13*i + 3. Let x be o(-5). Suppose 1502*q = 1478*q + 1632. What is the greatest common factor of x and q?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -12 - -8. Let w be (n\/(-10))\/((-1)\/(-5)). What is the second derivative of 3*a - 5*a - 2*a**w + 0*a**2 wrt a?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 39*k - 6. Let t(b) be the third derivative of b**4\/24 + b**3\/6 + b**2. Let f(w) = -l(w) - 2*t(w). Is f(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1.605 from 3.\nAnswer: 1.395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.3 minus 29.29783511144?\nAnswer: -26.99783511144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -24263, -97012, -218289, -388118, -606523, -873528, -1189157?\n\"Answer: -4*x**3 - 24240*x**2 - x - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 3739888334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 0.208554 millennia?\nAnswer: 2.08554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -251*y + 2*z = -119*y - 127*y - 47, -3*y + 5*z + 70 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 74*v = 65*v - 72. Let f be ((-324)\/(-240) + 6\/v)*-15. Which is the nearest to -1?  (a) f  (b) -0.2  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 12\/112*14\/(-8) and 123\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wvwwssvbtsq. Give prob of sequence tvvq.\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7224754 is divided by 81177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/7 + 198799976\/(-14). Let d be 0 - (-2 + 3\/1). Let x be d\/(-1 + v\/(-14200000)). Round x to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 3*p = 16, 2*p + 3 = n + 2. Let a(u) = -u**2 - 3*u - 4. Let s be a(-2). Let c be (-3)\/(-12)*s*1. What is the second biggest value in -1\/9, n, c?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.242621 to 3 decimal places.\nAnswer: 2.243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the first derivative of 2*p**2 - 71*p + 136. Does 9 divide t(43)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -61 - 265*o + 61.\nAnswer: -265*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 51.4 - 51. Let i = -53.2 - -53. Let a be (-3)\/2 - (5\/(-10) + 4). Sort a, o, i.\nAnswer: a, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*k**2 - 4*k**2 + 4*k**2 + 11*k**2 + 6*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -l**2 + 8714 - 8714.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*k - 3*m + 130, 52 = 136983*k - 136981*k - m for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 1, i: 5, h: 5, f: 8}. What is prob of sequence fihf?\nAnswer: 175\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 9.2108 to 2 dps.\nAnswer: 9.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/6, 4, 3, 2\/3, 767, 0.8?\nAnswer: 767","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 314 is divided by 58.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -104414234 (base 5) in base 6?\nAnswer: -14001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (675\/(-1350))\/((-1)\/42). Let o(f) be the third derivative of 0 + 0*f**5 + 0*f - 1\/1680*f**7 - j*f**2 + 0*f**4 + 0*f**3 - 1\/960*f**6. Factor o(w).\nAnswer: -w**3*(w + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 17352779 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 29744 and 100724?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -67*s + 1331 = 728 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-1))\/(-1*(-60)\/5)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 241, 1198, 2811, 5080, 8005, 11586, 15823?\n\"Answer: 328*l**2 - 27*l - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.7997 and -33.\nAnswer: -26.3901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (7 - 10) + (2 - (-5 - -8))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 12251 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sum -5836 and 14.7666.\nAnswer: -5821.2334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 33*p + 19*p + 34 + 12 - 54*p. Let a be j(21). Solve 0 = -5*i + 9*i - a for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -125, -246, -355, -446, -513, -550, -551, -510?\n\"Answer: s**3 - 128*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j**2\/j)**(-4\/7))**10)**(-5\/16) assuming j is positive.\nAnswer: j**(25\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the second derivative of 0*q**7 + 0*q**5 - 2\/3*q**4 + 0 - 1\/14*q**8 + 0*q**6 + 0*q**2 + 0*q**3 + 4*q. Find the third derivative of y(o) wrt o.\nAnswer: -480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 times 361?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 72669?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 3*b**2 + 9*b - 12. Let i be d(-9). Suppose w - 3*k = i, 109 = 2*w - 3*k - 182. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1187\/2 + -605. Let k = -257\/22 - f. Let c be 3 + -2 + 9\/(-12). Sort -0.2, k, c in descending order.\nAnswer: c, k, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -2 + ((-9)\/3 - -7). Let m(s) be the first derivative of 3 + 3\/2*s**d + 6*s. Calculate m(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1696*a**4*i - 5*a**4 - 2*a**2*i - 434*a**2 + 5*i wrt a.\nAnswer: -40704*a*i - 120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000006875079 to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 13*u + 10*u + 205 = 0, -820 = -4*d - 5*u. List the prime factors of d.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-640)\/(-128) + 66\/(-14)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 1 f, and 1 t when three letters picked without replacement from {x: 1, t: 2, f: 1, h: 2, a: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 73319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = 5*a - 11, -a = -5*c + 5 + 2. Solve 0 = -0*m - c*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 1095739981?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -37\/2130 and -63\/293372?\nAnswer: 4400580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (12\/(-42))\/((-76)\/(-7) + -12). What is the closest to k in 3, -217, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 92*q = 57*q + 35 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -438, -377, -318, -261, -206, -153, -102?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.31 + -0.21. Sort v, 1, -1\/3 in decreasing order.\nAnswer: 1, v, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9265 - -9275. Sort w, 86, 0 in decreasing order.\nAnswer: 86, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 z when two letters picked without replacement from {x: 3, q: 2, h: 1, f: 1, z: 10, k: 1}?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s - b + 36, -5*s + 45 = -b - b. Suppose 0 = n - 1 - s. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 145690 + -99856. Suppose 10584 = -47*i + z. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -3*j - 42. Suppose 37 = -8*i + 4*z - 55, 2*z = -4*i - 18. Give d(i).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:34 PM and 6:12 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -10012*c + 3*c**2 + 20089*c - 10077*c. Let z(j) be the first derivative of 2*j**3\/3 - 108*j + 1. Give z(l(b)).\nAnswer: 18*b**4 - 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1819 = 4*v + 35. Let l = 631 - v. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.11168 times 9?\nAnswer: 10.00512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1203321020 (base 4) to base 3.\nAnswer: 202210021002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-514)\/1)\/(5 + -7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y**2 + 7*y - 2. Let l be a(-6). Let d(z) = z**2 + 7*z + 4. Calculate d(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -2917, 2\/13, -1, 21, -12, -2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8400 by -35.\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*d + 89*d - 12*d. Is d > 13\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 364\/70 - (1 + 996\/(-570))?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 884 - 884.1. What is the closest to u in 3, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the third derivative of 0 + 0*h**3 - 1\/60*h**5 - 36*h**2 + 0*h**4 + 0*h. Let j(q) = -25*q**2. What is p(j(l))?\nAnswer: -625*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 1656*t**2 + 14*t + 71. Let b be a(-5). Let f = 60761 - b. What is f rounded to the nearest 1000?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -564, -1127, -1696, -2271, -2852?\nAnswer: -3439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 2, t: 2, p: 2, r: 8, y: 3}. Give prob of picking 1 r and 3 y.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2251157 to the power of 1\/2, to the nearest integer?\nAnswer: 1500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 52 divide 16718881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 19*p**2 + 2*p - 11. Let k be g(-9). Calculate the common denominator of -109\/14 and k\/(-16)*22\/165.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 26139184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -2*w + 2. Suppose 2*j + 2*t + 4 = 0, 6*t = 3*t + 3. Let l be g(j). Solve -y = -3*y + l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*j - j + 0*j)*(2*j**2 - 2*j**2 - 2*j**3)*(4 - 11 - 6 + 1 - 1 - 1 + (0 - 4 + 5)*(3 - 1 + 0) + (2 + 0 - 3)*(4 - 1 - 2) - 3 - 2 + 3 - 1 + 2 + 0).\nAnswer: -280*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**31)**(-1\/4) assuming k is positive.\nAnswer: k**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -222*n + 230*n + 80 = 0 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10830 and 1985500.\nAnswer: 3610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000131311 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p - 197 - 88. Suppose 0 = 5*s - 3*k + p, -9*s - 5*k - 265 = -5*s. Let h be (6\/5)\/((-18)\/s). Is -1 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -o**2*t**2 + 2438*o**2 + 2697*o*t**2 + 4*o wrt t?\nAnswer: -2*o**2*t + 5394*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the second derivative of -83*l**7\/42 + 57*l**4\/4 - 170*l - 2. Find the third derivative of d(n) wrt n.\nAnswer: -4980*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(448) - (0 + sqrt(448)) - (sqrt(112) + -1) - (3 + 3*sqrt(28)).\nAnswer: -10*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -331 - -3069. Suppose 4774 = 24*l - u. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1220 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {z: 3, o: 1, v: 1, q: 2, l: 4, f: 4}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Are 2545390 and 2545392 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 21366 divided by 18?\nAnswer: 1187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -4012883*p*x**3 + 105107044*p - 4*x**4 wrt x.\nAnswer: -12038649*p*x**2 - 16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u + 12 + 0 = -d, 3*u = -12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.572 and -1?\nAnswer: 0.428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12\/(-1) - 2596026\/(-146)?\nAnswer: 3, 5923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-60)\/4*(-4 + 5). Let c = t + 23. Suppose c*n - 144 = 528. What is the remainder when n is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*b - 5*y + 115, -5*y = -5*b + 117 + 8. Let z = -17 + b. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -29*z**5 + 29*z**5 - 347*z**5 + (-z**2 + 2*z**2 - 2*z**2)*(3*z**3 - 4*z**3 + 2*z**3).\nAnswer: -348*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 22801399 to the power of 1\/3, to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1218757763\/480 - -2539077. Let w = v + 1\/160. Let n(d) = -d**3 - 5*d**2 + 13*d - 10. Let t be n(-7). What is the nearest to -1 in t, w, 0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 3, r: 1, v: 1}. Give prob of picking 3 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 3, s: 4, p: 2, e: 2, x: 2, r: 3}. Give prob of picking 1 s and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -i + 23 - 8. Suppose -25 = -4*w + 4*u + 51, u - i = -w. What is the derivative of 43*p - 21*p + w + 20*p**2 - 22*p wrt p?\nAnswer: 40*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6.7 - -7. Let s = -0.23 + w. Let b = -0.5 + 0.8. What is the third biggest value in b, s, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -13466 - -13470. Suppose 2*t - 5*t - 12 = -3*q, 3*t + 16 = 4*q. Let n = t + 3. Solve p = y - 4, n*p + y = -2*p + j for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b - 40. Let d be t(-7). Let w = 102 + d. Is w a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + 210\/(-36) - 1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r + 36 = 11*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 347072353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 615 - 613. Put -34, -4, r in ascending order.\nAnswer: -34, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 - i)*(-1 - 2 + 2) - 73*i + 806 + 2778 + 74*i.\nAnswer: 2*i + 3584","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*i - 14094 = -5430. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34 = v + 3*b - 8*b, -3*b = 3*v - 48. What is the remainder when v is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**3\/(j\/j**(-2\/13)))\/(j*j**(-5\/2)*(j*j\/(j*j**(3\/2)*j))\/j) assuming j is positive.\nAnswer: j**(76\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -8 + (-8)\/10*-5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 6*r**2 + 7*r - 255. Calculate q(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -182582 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b - 5. Let c be 3 + -6 - (-6)\/(-2). Let y(j) = -1. Let x(r) = c*y(r) + l(r). Give x(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27 - 67 = 20*r + 6 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 5*a**2. Let g(y) be the first derivative of 5*y**3\/3 + 24. Calculate 5*g(h) - 6*m(h).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f + 7. Suppose 5*d + 0*d = 25. Let l be i(d). Solve v - 6 = -l*u, -2*v - u + 15 = 4*u for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = 3*w, 6*w = -40*n + 44*n + 18. Let b(i) be the second derivative of 0 - 1\/20*i**w + 1\/2*i**4 - 3\/2*i**2 + 3*i + 4\/3*i**3. Calculate b(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from iggigzgizggi?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 5 + 3)*(15*b + 13*b + 118*b)*(-b - 3*b + 3*b).\nAnswer: -146*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 8815 = 3*m + 22214, -2*w + 3*m = 13441. Is w smaller than -6710?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-93)\/(-33) - 3 - 14380\/44. Let r = -225 - c. What are the prime factors of r?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -43442 + 0.0341\nAnswer: -43441.9659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-2)\/4)\/(217\/(-42) + 5). Suppose p = -g*j + 2655, -5*p = -3*j - 9*p + 2646. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(1*sqrt(50) + -4))**2 - sqrt(400)\/((1*sqrt(16))\/sqrt(2)).\nAnswer: -365*sqrt(2) + 594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 976 and 1184.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = b - 3*b - 5938, -5*k + 3*b = -14859. List the prime factors of k.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 - 0. Let r be ((v - -3)*0)\/1. Find the third derivative of -b**2 - b**3 + r*b + 0*b wrt b.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 2351*j - 7036. Give n(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -74 - 92. Let s = d + -1160\/7. Let j = -76 + 76. Which is bigger: j or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3*n**2*z**2 - 10*n**2 + 4*n*z - z**2 + 27 wrt n?\nAnswer: -6*n*z**2 - 20*n + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r\/(r\/r**(-3\/5)))\/r**(-5\/7))**(-4\/3) assuming r is positive.\nAnswer: r**(-52\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1*2\/6*87. Suppose 3*z - 92 + i = 0. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.214769 * 42\nAnswer: -9.020298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -156*v - 70 = -121*v. Suppose -3*o = -0*t - 3*t - 21, o + 3*t = -1. Sort o, -5, v in decreasing order.\nAnswer: o, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -8*j + 3. Let c(a) = a. Suppose 15*t = -3*t - 18. Calculate t*o(y) - 4*c(y).\nAnswer: 4*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 510186911?\nAnswer: 13, 39245147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0 + (-15)\/((-210)\/17024). What is the greatest common divisor of 19 and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 378126 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 * 372.15.\nAnswer: -1860.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -0.168 * 13233\nAnswer: -2223.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the first derivative of -2*u**2 - 6*u - 17. Let v be n(-4). Suppose v*l + 0*l = 960. Round l to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.001471 + 2462.098529. Round t to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*n - 9162 - 9161 + 18323.\nAnswer: 28*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (1058617\/10277 - 101) + (0 - 1 - (0 - -1))?\nAnswer: 2\/239","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*k**2\/5 - 5518*k\/5 + 866584\/5.\nAnswer: -2*(k - 149)*(k + 2908)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 7\/(-21) + 92\/6. Suppose -q = 4*n + 5. Let j = -0.7 + 0.2. Which is the nearest to -0.2?  (a) n  (b) 4  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 0, -4, -2 in descending order.\nAnswer: 0, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1 - (-6 - -3 - 2). Let w be d\/8*(-12)\/(-2). Which is smaller: w or 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 43, 43, 45, 49, 55, 63?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7)\/21*21*1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1907173 and 191063036.\nAnswer: 189155863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1\/3 + -2)*-66. What is the greatest common factor of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = -5 - 13. Let i(y) = -y - 2. Let o be i(r). Suppose 0 = -o*v - 144 + 417. Calculate the highest common factor of 39 and v.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2000 + -201?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0913494 rounded to 3 decimal places?\nAnswer: 0.091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 21 - 7. Suppose 0 = -a - 3, 5*f - 4*a - o = 13. Let m = -5 - -7. What is the second biggest value in m, 0, f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.1 - 0. Suppose 485*d + 2148 + 277 = 0. What is the closest to 2\/3 in b, d, 0.16, -2\/7?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 53 + 534100055?\nAnswer: 534100152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 118600304 to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -2*k + 3*f, -f = -2*k + 4*f + 18. Suppose 4*u - 6 = 2. Let h be 10\/1*(-2)\/(-4). Put u, h, k in increasing order.\nAnswer: k, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.8 - -2. Let i = -29 - -28.982. Let c = 5.018 + i. What is the closest to 3\/2 in c, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 370661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 4583449 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5206, 10410, 15614, 20818?\nAnswer: 26022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b - 0*b + 10. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1431 - 1432. Which is the closest to 2\/7?  (a) -1\/5  (b) -3  (c) -4  (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 62 - 65. Sort -1, 2, 3, z.\nAnswer: z, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzczzzrcrzffczzrfzcr. Give prob of sequence fzrr.\nAnswer: 9\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 4*j = -1, 4*k = 2*k + 4*j - 2. What is the second smallest value in 3\/5, k, 45, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -46818 times 0.26?\nAnswer: -12172.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1.7202083 and 22.\nAnswer: 20.2797917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2156744631?\nAnswer: 3, 73, 9848149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -36*s - 153*s - 314*s - 13229 + 13229 as j + r*s and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.78391*-0.02.\nAnswer: 0.0156782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -4 - (2 + -2) - -2. Let w be (-221)\/(-255) - g\/(-10). Let h = 1.31 + 0.69. Put 0.1, h, w, -0.5 in descending order.\nAnswer: h, w, 0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -25 + 35. Calculate the remainder when 19 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the third derivative of l**4\/12 - 11*l**2. Let x(f) = -2*f. Determine p(x(i)).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1973327 is divided by 563?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -2*w**3 - 4*w**2 - 6*w - 4. Let n be d(-2). Let u be ((-29)\/(-58))\/(10\/n + -1). Solve 0 = s - 3 - u for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 47812.7 from -0.05.\nAnswer: -47812.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 7*h**2 + 3*h - 8. Let p(f) = -6*f**2 - 4*f + 7. Let x(z) = 5*n(z) + 6*p(z). Calculate x(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 34.70309 weeks to hours.\nAnswer: 5830.11912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.02?  (a) 125\/12  (b) 1  (c) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-316)\/(-237) - 44\/(-12). Solve -z*m - 4*g + 24 = 0, 40*m - 35*m = 3*g + 17 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -18 + 29. Suppose -3*u + 0*o + 4*o + 37 = 0, -2*o - 56 = -4*u. What is the smallest common multiple of u and q?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 11\/2*4 + 4. Calculate the highest common divisor of 78 and t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -24 divided by -6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -21\/642503 and 45\/224489.\nAnswer: 18632587","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 230316 and 30?\nAnswer: 1151580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*o + 128 + 96. Suppose 2*z = 3*z + 2. Let i = z - -10. Calculate the highest common divisor of i and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 times -0.072\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ovvvvovovvvvovov. What is prob of sequence vo?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 1395*x**2 + 21*x - 27. Let k(j) = 279*j**2 + 4*j - 5. Calculate -4*b(p) + 21*k(p).\nAnswer: 279*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the first derivative of -3\/2*n**2 - 1 + 2\/3*n**3 - 1\/4*n**4 + 0*n. Let c(f) = -f**2 - 1. Let w(u) = -6*c(u) - s(u). Calculate w(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (456\/42 - -2)\/((-6)\/21) + 9?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1 and 3031878.\nAnswer: 3031878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2470, 2467, 2462, 2455, 2446, 2435, 2422?\nAnswer: 2407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/(((-3)\/2)\/(-1)). Let a(k) be the third derivative of k**4\/24 + k**3\/6 + 2*k**2. Determine a(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 67*x + 651. What are the prime factors of y(36)?\nAnswer: 3, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 46650 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-21 - -17) + (8 - ((-3 - -5) + -3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c - 4049. Let v(n) = 1917*n. Give i(v(k)).\nAnswer: 1917*k - 4049","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 14*v**3 + 658*v**2 + 10*v - 3660614?\nAnswer: 42*v**2 + 1316*v + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 8*o**4 + 8*o**2 + 4*o - 4. Let m(b) = 8*b**4 + 9*b**2 + 5*b - 5. Let n(t) = -5*k(t) + 4*m(t). What is the third derivative of n(d) wrt d?\nAnswer: -192*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ke when two letters picked without replacement from ekeekeeeekeekkeekz?\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 36 and 64.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**3 + 8*u**2 + 4*u - 8. Determine x(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g - 5*h + 10 = -g, 4*h = -2*g + 22. Calculate the remainder when 169 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 620 - 624. Let q = -2.89 - 0.11. Which is the closest to n?  (a) 1\/2  (b) q  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1017014904.\nAnswer: 2, 3, 14125207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that -2*f**3\/5 - 1012*f**2\/5 - 6986*f\/5 = 0.\nAnswer: -499, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -3  (b) 21\/2  (c) -8  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((1 + 3*(-4 + -2 + 2 + sqrt(200)) + 1)*4)**2.\nAnswer: -9600*sqrt(2) + 30396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 30820 or 0.5?\nAnswer: 30820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the first derivative of 15*f**2\/2 - 68. Let a(c) = -24*c**2. Give r(a(g)).\nAnswer: -360*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 227401 + -1591719\/7. Factor 18\/7*h**3 - i - 174\/7*h**2 - 256\/7*h.\nAnswer: 2*(h - 11)*(3*h + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-4)*q\/q**(11\/2)*q assuming q is positive.\nAnswer: q**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*s + 63920 = -47917. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -110364443 from 0.3.\nAnswer: 110364443.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(2\/5))**(-25)\/((q**(2\/15)\/q)\/(q*q**(9\/5))) assuming q is positive.\nAnswer: q**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.5 + 0.2. Let j = 7.7 - l. Let p = 7 - j. Which is the smallest value?  (a) p  (b) -0.1  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*sqrt(120)\/sqrt(3))\/sqrt(8))**2 - 2*(-2*sqrt(45))**2.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 24195.9 + -363078.\nAnswer: -338882.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/4 + (-7)\/14. Suppose w*t + 31 = -3*t + 5*m, 2*t - m + 9 = 0. Suppose -176*f + 170*f = -30. Put t, f, 3 in decreasing order.\nAnswer: f, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u**3 - 8*u**2 - 101*u + 8. Calculate the remainder when 271 is divided by p(15).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/(35\/(-2)) - (-2784)\/(-336)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**5\/3 - 18730*r**4\/3 + 56136*r**3.\nAnswer: 2*r**3*(r - 9356)*(r - 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 27768 + -83063\/3. Which is the closest to -1?  (a) y  (b) -0.3  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -4.2 and -3102.\nAnswer: -3106.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f + f + 2. Let h(x) = 14*x**2 + 12*x. Let d(r) = -r**2 - r. Let v(q) = f*h(q) - 12*d(q). Let o(g) = g - 1 + 1. Calculate v(o(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 38627557?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7358 - 7353. Suppose 3*c - 2 = -n, 4 + 4 = 4*c + 4*n. Suppose -y + 2 = -c*y. Solve -y*k + 15 = -g*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3 - 0)\/(2\/(-1)). Let z = 14 - 11. Let l = -3 + 2. What is the closest to l in y, z, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2415809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 118 in 4\/3, -1\/11, 253, 0.3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -8*t**3 - 21*t**2 - 1376*t - 8251. Give u(-6).\nAnswer: 977","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 184  (b) -1  (c) 0.1  (d) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*j - 3 = -8*j. Let m(n) = -2*n - 11. Let g(a) = -3*a - 23. Let f(y) = j*g(y) - 5*m(y). Let w(k) = -7. Let z(c) = 2*f(c) - 5*w(c). Determine z(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 1695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 2*b - 3. Let m be p(-3). Let y be (-4)\/1 + 14\/(-3). Is y greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/15?  (a) 1  (b) -2\/9  (c) 1\/2  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 4*n**3 - 8*n**2 - 3*n**3 + 8*n + 9 - 2*n. Let a = 1969 - 1962. Determine p(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1224720271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 935, 937, 939, 941, 943, 945?\n\"Answer: 2*h + 933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -130*i + 59*i + 404558 = 0. List the prime factors of i.\nAnswer: 2, 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 212003022 (base 4) to base 12\nAnswer: 76236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -7.7054 + -0.4?\nAnswer: -8.1054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*m + 45*m = 2 + 60. Sort 5, 2, m, 4 in increasing order.\nAnswer: m, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8959920 divided by 6054?\nAnswer: 1480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**2 - 119*j - 2041. Calculate b(-21).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.067 - -0.567. Let r(g) = -g + 2. Let u be r(1). Let k be (u\/9)\/((-4)\/(-6)). Sort k, -1, p in decreasing order.\nAnswer: p, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 243513 and 1007.\nAnswer: 245217591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -3*c**2 - 13*c + 71. Let b(i) = -10*i**2 - 40*i + 212. Let g(d) = 6*b(d) - 19*l(d). Differentiate g(y) with respect to y.\nAnswer: -6*y + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1651*v**3*x**2 + v**3*x - v**3 - 12*v**2*x**2 + 23*v*x**2 - 2*x**2 + 2 wrt v.\nAnswer: 9906*x**2 + 6*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**3 + 11*v**2 + 20*v - 32.\nAnswer: (v - 1)*(v + 4)*(v + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-1\/4)*m*(((m*(m\/(m**(-1\/9)\/m))\/m)\/m)\/m)\/m*m)**7)**(-1\/7) assuming m is positive.\nAnswer: m**(-31\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-2)\/(-1 + 21\/23) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33\/(-12) + 3 - 3\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -222011021 (base 3) in base 12?\nAnswer: -b051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17096 is divided by 1842?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m, 1 s, and 1 u when three letters picked without replacement from mzrmssssu?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 w when two letters picked without replacement from {o: 5, y: 1, q: 1, w: 4, n: 2, t: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the third derivative of -d**5\/60 - d**4\/24 - d**3\/6 + 9*d**2. Let j(t) = -2*t**2 - t + 1. Give -j(o) + m(o).\nAnswer: o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**2 - 3*j + 2. Let w be c(4). Suppose w*q = 5*q + 57. Suppose -q + 438 = 3*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = 4*d + 34, 3*d + 42 - 6 = 3*p. Let j be (-1 - -2) + d\/2. Let z = -0.9 - -1. Which is the second smallest value?  (a) z  (b) j  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -51 >= 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-8)\/28)\/1)\/(15\/(-21)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 32 + -17. Suppose -y + b = -0. Solve 4*l - 20 = -4*r - l, -3*r + y = -4*l for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 2*n. Let o(k) = -7*k. Let w = -1522 - -1525. Let s(z) = -z + 8. Let l be s(7). Let u(d) = l*o(d) + w*m(d). Let b(q) = 19*q. Calculate u(b(p)).\nAnswer: -19*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.9 - 0.1. Let z = -0.76 + -52.24. Let w = z + 54. Put w, 0.1, s in increasing order.\nAnswer: s, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 212\/(-6)*(-3 + 3\/2). Let o be ((-18)\/(-5))\/(r\/(-1325)). Which is greater: o or -89?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: -10001 (base 2) to base 8\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 36*v**2 - 36*v. Let d(g) = g. Give 36*d(b) + z(b).\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -5488070486 + -2.3?\nAnswer: -5488070488.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -0.0992611 times -10\nAnswer: 0.992611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 12\/36*-51 + (-13)\/(286\/(-2508))\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 155\/1248 and 31\/33228.\nAnswer: 265824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x = -3*t + 6*t - 18, -2*x = -t for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 26 + 231. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (92*h**4 + 9*h**3 - 9*h**3)*(-5 + 1 + 5) + 0*h**4 + 0*h**4 - 3*h**4.\nAnswer: 89*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 4*c + 16 = 0, -c - 4 = -3*i - 16. Let b be (-1 - i\/6)*-1. Which is greater: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 j when two letters picked without replacement from {c: 1, w: 1, h: 4, v: 2, j: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 4*i - 20 = -5*f, 4*f + 2*i = 22. Let d be (-1)\/(-2)*(f + -4). What is the units digit of 1 + 39 + 1 - d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -375\/6484 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -57\/2 + 115\/4. Factor -x*w**5 + 0*w**3 + 0*w + 1\/4*w**4 + 0*w**2 + 0.\nAnswer: -w**4*(w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yhhny. What is prob of sequence nn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 204 less than -47.24309?\nAnswer: -251.24309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = 2*b - b - 2*i, 0 = -4*b + 5*i - 32. Let m(o) = 0*o + o + 6*o + 3 - 5. Let t(q) = -4*q + 1. Let g(j) = -3*m(j) - 5*t(j). What is g(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1934190150.\nAnswer: 2, 3, 5, 191, 67511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 18\/2495 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/3)\/(4498\/(-519)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -103 (base 6) to base 4\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -16\/203 and 61\/63.\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6693.\nAnswer: 3, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = -27*b - 1728. Find the common denominator of 91\/34 and (b\/(-21))\/((-15)\/(-14)).\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the third derivative of -3*j**5\/20 + j**4\/12 - j**3\/3 - 2*j**2. Let h(l) = l**2 + 1. Let t(x) = 2*h(x) + z(x). Find q such that t(q) = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (-161)\/(-63) + (-4)\/(-6).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**3 + 14*u**2 + 13*u - 27. Let l be x(-13). What is the remainder when (1 + -3)*l\/6 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2982462351 to the nearest integer?\nAnswer: 54612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 22151 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -2*h**2 - h - 2*h + 2 + 3*h**2 + 3. Let j be r(5). Calculate the remainder when 29 is divided by (-12)\/9*j\/(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -40*y**2 + 7724*y - 762. What is v(193)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -133292190*z**6 - 2*z**5 - 52*z**2 + 1100990*z wrt z.\nAnswer: -15995062800*z**3 - 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -10334066, -10334065, -10334064, -10334063?\n\"Answer: b - 10334067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4052.609946 rounded to the nearest ten?\nAnswer: 4050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 9318434, 9318437, 9318440, 9318443, 9318446, 9318449?\n\"Answer: 3*f + 9318431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 68\/(-85)*5\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -228177*k**2 + 338880?\nAnswer: -456354*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 67433\/2 + -33715. Solve 0 - z*v**2 + 0*v + 1\/2*v**3 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 29\/2  (b) 30  (c) -2\/15  (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 62 divide 3592021974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 5*y - 24. Let w be v(9). Suppose -w = -3*b - 9. Let u(a) = 2*a - 4. Calculate u(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 13 - 200113?\nAnswer: -200100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26417 = 5*z - 22148. Let o = z + -5356. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a microgram in nanograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7472 - (-8)\/(-24)*-3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*2*(sqrt(2) - (sqrt(2) + sqrt(10)\/sqrt(5)))**2*-1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 - 2181800511\nAnswer: -2181800510.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -4*m**2 - m - 5. Let k be v(-7). Let b = k + 127. Let p = b + 115. Calculate the greatest common divisor of p and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in seven halves of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c. Let t(z) = -1437*z. Determine t(g(r)).\nAnswer: -1437*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 5*p = -n + 6, 3*n + 4*p = 9. Suppose -2*m = -3*m + n*m. Solve m = -w - 0*w + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjjxjixxjajdaxjja. Give prob of picking 2 x.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.9, 3, 0.4, -4, 3155, 5 in ascending order.\nAnswer: -4, -0.9, 0.4, 3, 5, 3155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 243469?\nAnswer: 243469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, -6, -662 in ascending order.\nAnswer: -662, -6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(171)\/sqrt(81) + (5*sqrt(228))\/sqrt(12))*-3.\nAnswer: 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 31*t**2 + 9 - 9 + 0 - 2*t**2 + 0 + (-2*t + 4*t - 4*t)*(-3*t + 0*t + 5*t) + (0 - 2*t + 0)*(9 - 11*t - 9)*(2 + 7 - 5) as g*t + r*t**2 + s and give r.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 120 and 3210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 962017 to the nearest integer?\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2 + -5. Let d be ((-9)\/2)\/(c\/8). Suppose m + m = d. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32657970.\nAnswer: 2, 3, 5, 643, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-44)\/4*(120\/110)\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.298176 rounded to three decimal places?\nAnswer: 0.298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -7c (base 13) to base 12\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 5*c = 6*c - 8, 4*d = 5*c + 18. Let a(r) be the first derivative of 0*r**d + 0*r + 3 - 2\/3*r**3. Let z(w) = 4*w**2. Determine a(z(s)).\nAnswer: -32*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 22202 + 201?\nAnswer: 100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 22*u**2 + u - 44. Let o(k) = 31*k**2 + 2*k - 65. Give -7*b(c) + 5*o(c).\nAnswer: c**2 + 3*c - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01851 rounded to 3 decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1769 = -35*c - 1349. Suppose 4*v - 38 = -2. Calculate the least common multiple of v and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -38885, -38937, -38989, -39041?\n\"Answer: -52*r - 38833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the first derivative of 0*z**2 - 10\/3*z**3 - 5 - 6\/5*z**5 + 0*z**4 + 0*z. What is the third derivative of s(q) wrt q?\nAnswer: -144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-3)\/(-1 - (-275)\/290)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 386 divided by 2.\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (14\/((-532)\/19))\/(25\/50)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = m - 790, -5*m = -3*m + 2*h - 1548. Suppose 20*b = 10*b + m. Is b a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -13 + 18. Let s = q - -6. Let w(j) = 2*j**2 + 3. Calculate the remainder when w(3) is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2106 and 390.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 2336 = 5*g, 2*a + 472 = -0*g + g. List the prime factors of g.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13347.53644 rounded to the nearest 10?\nAnswer: -13350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 65 a factor of 2706600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -n**3 + 1427*n - 1427*n - 4 + 4.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 87 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 + 3 = h + j, 0 = 4*h + j - 14. Suppose -9*m = 4*t - h*m - 65, 3*t - 54 = -2*m. Find the second derivative of 23*b - t - 14*b**5 + 20 + 7*b wrt b.\nAnswer: -280*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the first derivative of -5\/2*v**4 + 0*v - 11 - 11\/3*v**3 + 0*v**2. What is the third derivative of w(s) wrt s?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 64808 divided by -8\nAnswer: -8101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -9 + (74 - 99) + (0 - 7)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 - -41. Let l be o\/(-10) - (-1 + 0). Let y = 3 - 2.8. What is the third smallest value in y, -0.3, l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9492323 decades to months.\nAnswer: 113.907876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -83, -94, -111, -134, -163, -198?\n\"Answer: -3*s**2 - 2*s - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qgggggqgggqgqq. Give prob of sequence qgq.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve q + h + 13 = 11, 4*q - 4*h + 32 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1, 5578, -5, -1\/4, 2, -0.9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/(-218) + (-16822080)\/647460.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 89 a factor of 1995938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -908, 5, -26 in increasing order.\nAnswer: -908, -26, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -29*o**3 - 5*o**2 - 13*o + 4. Let c(y) = 7*y**3 + y**2 + 3*y - 1. Calculate 9*c(s) + 2*n(s).\nAnswer: 5*s**3 - s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -730a + 79?\nAnswer: -7251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that 9*c**2\/7 - 1135*c - 1766\/7 = 0.\nAnswer: -2\/9, 883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) 0.5  (c) -0.3  (d) 483  (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -21 - -21. Solve k*i + 5*i - 17 = 2*n, 4*n + 4*i = 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {n: 5, h: 5, b: 1}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/(2\/1 + 7\/(-2)). Let r(t) = 0*t - 7*t - 6*t + 13 - w*t + t**3 + 6*t**2. Let x be r(-8). Solve 0 = -x*q + 5*m + 20, 2*m + 3*m = -5*q + 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 20*u**4 - 60*u**3 + 28*u**2 - 12*u - 12. Let t(g) = g**3 - g**2 + g + 1. Let b(n) = 12*t(n) + w(n). Factor b(h).\nAnswer: 4*h**2*(h - 2)*(5*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/4*0\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2605 + 776 = 147*x for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*w**3 + 12 + 9 + 4*w**2 - 23 + (-4*w + 3*w + 2*w)*(1 - 1 - 2*w**2) + w**2 + w**3 - w**2.\nAnswer: -3*w**3 + 4*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -29 - -69. Let a be -4*(-2)\/k*-2. What is the closest to a in -1\/11, -2, 5?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.3 + 0.2. Let b = 1130 - 1112. Put 5, -1, k, b in decreasing order.\nAnswer: b, 5, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 5*x**2 - 31*x - 32. Let w be p(-1). Solve -3*k = -w*k - 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7465562.4000074 - -7465563. Let d = h + -0.6. Round d to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41.994516 rounded to zero dps?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r = -4*a + 4, 0 = -5*a - r + 4*r + 32 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -34\/9 and -7\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 67700?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.3  (b) 1\/10  (c) 3  (d) 1\/3  (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5636826 divided by -5?\nAnswer: -5636826\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7*m**3 + 17*m + 17?\nAnswer: 42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 23*z - 1426. Let c be u(62). Factor 0*w**2 + 4\/3*w**3 - 4\/3*w**4 + 0 + c*w.\nAnswer: -4*w**3*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 51\/2834504 and 83\/2?\nAnswer: 2834504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2901 - -5253. Is h equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - 1 - 10 - (-4 + 2 + 6).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1073758976 to the power of 1\/3, to the nearest integer?\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 2*r + 8. Suppose -3*o + 5*g + 23 = 0, -3*g - 12 = 3*o - 3. Let k(t) be the first derivative of -t - 84. Let i(h) = o*z(h) + 3*k(h). What is i(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23218015?\nAnswer: 5, 73, 63611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2535, 2536, 2537?\nAnswer: 2538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x**3 - 9*x**2. Suppose 6 = -5*h - 9, -5*f + 3 = -h. Suppose s + 8 = -f*s. Let c be (-6)\/(s\/6 - -2). Let i(r) = -2*r**2. Determine c*i(d) + 2*t(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**2 + 10*m + 3. Suppose -2*b = -3*b + 2. Suppose -4*w + 36 = a, 3*w = -b*a + 3*a + 20. List the prime factors of x(w).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29453611 is divided by 3198?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 1 + (-14 - (-6 + -1))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -340 - -361. Let w be (20 - q) + (6\/4 - -1). Determine d so that w*d**3 + 6*d**2 + 0 + 9\/2*d = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 27 * -0.71.\nAnswer: -19.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -49\/3818 and 91\/455*(-1335)\/(-24).\nAnswer: 15272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 0 = 5*t - 20, -1 = -r. Suppose 3*z - 2*z - 3*m = 14, t*z - 28 = m. Suppose 484 = 5*s + 4*w - 102, 4*s - 467 = -z*w. List the prime factors of s.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 73292 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 314493118 to the nearest integer?\nAnswer: 17734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4 + -7)*(-3)\/(-12). Which is smaller: -2 or q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**(-2\/9)*u*u)**(-6\/11)\/(u**(-1\/3))**(-42\/11) assuming u is positive.\nAnswer: u**(-92\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 973\/695 + 288\/(-20). Let f(r) = -r**3 - 13*r**2 - 3*r - 32. Give f(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -142, 212, 1064, 2414, 4262?\n\"Answer: 249*s**2 - 393*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -18 - -20. Solve c*r - 6*r = -4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 18, 4, -28, -84, -170, -292?\n\"Answer: -g**3 - 3*g**2 + 2*g + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 3145 = 5*x, 5*x + 1887 = -5*a + 2*a. Let o = a - -1026. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1 - 2)\/((-2)\/(-16)). Let u be (-10)\/a*2\/5. Let s = 330.7 + -331. What is the nearest to s in 2\/7, u, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*j + 75 = 13*j. Which is the second biggest value?  (a) j  (b) -3  (c) 1  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 + 2 - 11)*(-13*v**2 - 3 + 1 + 29*v - 28*v) to l + j*v**2 + a*v and give j.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 2*s + 22*s**2 - 35*s**2 - 2 + 15*s**2 + 1. Let x(u) = u**3 - 4*u**2 + 4*u. Let f be x(3). Suppose -r + f = 2*r. Calculate b(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (63*y - 31*y - 34*y)*(-2 + 4 - 3) - 2*y - y + 4*y as o*y + q and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8 + -6. Suppose 4*t = 3*n - 273, -5*t = -u*n + 179 - 4. Let m be (2 + -7)*76\/(-10). Calculate the highest common divisor of m and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/(-76))\/(10\/(440\/(-33))).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (9\/(-6) + 1)*0. Suppose 4*a + 0*a = i. Solve 0*f - 5*f + 10 = a for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3475 and 14?\nAnswer: -48650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4568428 and 145?\nAnswer: 22842140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2756 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 32611, 32697, 32795, 32911, 33051, 33221?\n\"Answer: m**3 + 79*m + 32531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 91493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 10984 - 10963. Put -2, -15, x, 5, -5 in descending order.\nAnswer: x, 5, -2, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 85\/(-30) + 6\/2. Let t = -0.04 - -4.04. What is the nearest to 1\/2 in 3, t, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of -6 - (-1*(-11 + 16) - (0 - -11073))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2782027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 0 + -258a2?\nAnswer: -258a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9)\/(((-522)\/3335)\/(12*(-2)\/(-30)))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21500.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by -56196780.\nAnswer: 1\/28098390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3776 - -0.158.\nAnswer: 3776.158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q and 1 l when three letters picked without replacement from {l: 6, q: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0\/((-1 - 3) + 3). Let f(i) be the first derivative of 1\/5*i**5 + 2 - 1\/2*i**2 + a*i + 1\/4*i**4 - 1\/3*i**3. Suppose f(n) = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 4, b: 10}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2016\/3024*(-5)\/(-4)*(-3)\/(-20).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/4 in 4, -6\/19, -143, -5, 8, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 3*c - c - 543 = 0, -4*m + 2184 = 4*c. Calculate the greatest common divisor of 61 and m.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in 0.7, 6.5, 0.1, -2\/7?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 3*p**2 + 10291*p - 165422. Determine j(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:41 PM and 3:14 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 5*v - 49. Let h be i(7). Let t be (-221)\/(-357) - (-4)\/h. Factor -t*z**2 + 4\/3 + 0*z.\nAnswer: -(z - 2)*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 179 in 0.3, 1420, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -251\/1008 + 3\/112. Which is the closest to -0.2?  (a) 1  (b) -0.3  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -0.7, -5, 19?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(1\/13)*o*o\/(o*o**(-2))*o)\/(o\/((((o*o**3)\/o*o)\/o)\/o)*o*o**(-17\/2)) assuming o is positive.\nAnswer: o**(327\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000016131 rounded to six dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(264)\/sqrt(6) - sqrt(44))**2*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 2485, -4 in increasing order.\nAnswer: -5, -4, 2485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the first derivative of a**5\/5 + 10*a - 2. What is the derivative of c(u) wrt u?\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 197?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add 21 and 99271419.\nAnswer: 99271440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 11053782 to the power of 1\/2, to the nearest integer?\nAnswer: 3325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}