diff --git "a/data/dm_maths/full_data_2/1489_11255.jsonl" "b/data/dm_maths/full_data_2/1489_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1489_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: -2.73 * -0.6\nAnswer: 1.638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65 and 8515.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v - 40218 = -40456 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4206*y - 51348. What is g(12)?\nAnswer: -876","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3325086172 to the nearest integer?\nAnswer: 57664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15\/(-20))\/(3\/(-8)). What is the third derivative of 4*n**2 + 4*n**2 - 10*n**3 - 33*n**i wrt n?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/234, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 1830 = z. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*a**2 + 4*a - 4*a + (2 - 2 - a)*(5 + 3*a - 5) - 2*a**2 - 1 + 1.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 4*h + 4. Let r(f) = 3*f - 3. Suppose -2*o - 2*q + 4 = 0, -2*o + 4*q + 1 = 27. Give o*d(a) - 4*r(a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 397351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 113426?\nAnswer: -113425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 117*u**3 + 20*u**2 - 107*u - 37. What are the prime factors of x(6)?\nAnswer: 17, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 2*l**2 - 3*l. Let h(a) = 7*a**2 - 5*a**2 - 2*a**3 + a**2 + 0*a**3 + 4*a. Calculate 2*h(o) + 3*i(o).\nAnswer: -o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 1:04 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -3*t + 3, 3*t = -4*o - 151 + 160. Calculate the remainder when 22 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/4 + -4 - (1 + 0). Is 2 + (-276)\/(-6) - 2\/v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 - 24 - 30 - -17?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 131157.54 minus -0.3?\nAnswer: 131157.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -8*v**2 - 104*v + 94. What is the remainder when s(-8) is divided by 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2 - 16*w - 3. Let q be z(-11). Let k = 82 + q. Let r = k - 9. What is the lowest common multiple of 8 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/sqrt(1331) + (3*sqrt(13)*6)**2.\nAnswer: sqrt(13)\/11 + 4212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*d = -747, 0 = 3*v + v + 3*d - 996. Let i = v - 92. Calculate the remainder when i is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.056 and -560.\nAnswer: 31.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 - -243. Suppose 4*k = v + i + 137, 0 = -v + 1. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(152\/19)\/24.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -87.77 + 87.748. Sort v, -0.3, -2.\nAnswer: -2, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 339465051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that f**3\/2 - 49*f**2\/2 + 214*f - 190 = 0.\nAnswer: 1, 10, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 1892*o + 108. List the prime factors of g(39).\nAnswer: 2, 3, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1623801000 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 270, 1081, 2434, 4329, 6766, 9745, 13266?\nAnswer: 17329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003653 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/2)\/(7\/(490\/7)). Let a be 20\/p*(-39)\/2. Let y = -6 + a. Calculate the highest common factor of y and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5888*k**4 + 58889*k**3 + 1030310*k**2 + 2942425*k - 4500 = 0. What is k?\nAnswer: -5, 9\/5888, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 669017.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - 64. Let n = -10 - a. Is 3\/n - 4260\/(-21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 776 - 553. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*h - 3, -4*r - 11 = 3*h - 24. Let l(g) = 1. Let a(x) = -4*x - 3. Determine r*a(j) + 4*l(j).\nAnswer: -4*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (7 - (13 + 13 + -5))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*l**3*r**2 + 875148*l**3 - 1241046*l*r**2 - 20*r wrt r.\nAnswer: -50*l**3 - 2482092*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 5*w**2 - 6. Let k(p) = -p**3 - 3*p**2 - 3. Suppose 4*y - 3*x + 8 = 0, -5*x + 17 = -5*y - 3*x. Give y*k(j) + 3*l(j).\nAnswer: 2*j**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 20031213?\nAnswer: 20031222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5717265 a multiple of 563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1522528509 to five dps.\nAnswer: 0.15225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((819\/(-1092))\/(26\/4))\/(8\/(-26))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -w + 108 + 27, -3*w - 5*s = -405. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuff. Give prob of picking 2 u.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 11*s - 286 = -3*m - 3*m, 13*m = 3*s - 64 - 14 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-51)\/68 + -13*(-1)\/(-4). Let p be (-10)\/4*(-111)\/(-30)*q. What is the highest common divisor of 111 and p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(-1)\/v))\/v)**(2\/13)\/(v**(2\/3))**28 assuming v is positive.\nAnswer: v**(-722\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11\/3 or -56?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-4*((sqrt(132) + sqrt(132)*-4)*-2 + sqrt(132)))\/(1*((sqrt(12) - (sqrt(60)\/sqrt(5) - sqrt(12)))*-1 + sqrt(96)\/sqrt(2))).\nAnswer: -168*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**5 - 232*n**4 + 18372*n**3 + 40408*n**2 - 246224*n + 187680 = 0. Calculate n.\nAnswer: -102, -5, 1, 2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.92 rounded to 0 dps?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 10*l = -78. Let f = -20 - l. Suppose -f*t + t = -40. Solve 0 = -5*m - 12 - t for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 38*c**2*l*m**2 + c*m**3 - 42*l*m**3 + 2*l wrt c?\nAnswer: 76*c*l*m**2 + m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*r - 23*r + 6*r)*(2*r**3 - 1 + 1) + r**2 - r**2 - 2*r**4.\nAnswer: -70*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -878825715 at most -878825715?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 4:38 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrlrr. What is prob of picking 2 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-1\/2)*x)**33)**(3\/8))**38 assuming x is positive.\nAnswer: x**(1881\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 325337166 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 43558*f - 14998*f - 7745*f in the form g + d*f and give d.\nAnswer: 20815","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -597*l**2 - 7271*l - 1318. Calculate b(-12).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22892850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 + -26. Suppose 0 = -g + 2, t = -2*t - 4*g + k. Let j be (20\/(-75)*(-3)\/(-2))\/t. What is the nearest to 0 in 0.3, j, -3\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -256, -816, -1738, -3028, -4692, -6736, -9166, -11988?\nAnswer: -15208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 919958?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*(15\/(-12) - -3). Suppose -y*h = -2*h - 25. Factor 51*v - 51*v - h*v**4 + 5*v**2.\nAnswer: -5*v**2*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 17 - 15\/(-5). Suppose -v = -4*w - 5*n + 4*n, 2*n = 5*w - 10. Find the third derivative of -3*i**2 - 2*i**4 - 3*i**4 + 4*i**w + i**2 wrt i.\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 - (10 + -5 - 6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -23 divided by -7145357\nAnswer: 23\/7145357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30\/80 - 2243\/8. Suppose -2 = 5*p - 12. Is (b\/16)\/((-1)\/p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 541 (base 14) to base 13\nAnswer: 61a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-34) - 589\/(-527). Suppose -15*k + 29 = -u. Suppose -5*c - 3 = -5*g - 23, -3*c + 19 = 4*g. Solve -c*w + w = l + 7, -k = 4*l + 3*w for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*t - 575*t - 140*t + 42*t to m*t + v and give m.\nAnswer: -703","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c*o**2*v - c*o**2 + 47*c*o + c - o**2*v - o**2 - 9*o*v wrt o.\nAnswer: 2*c*v - 2*c - 2*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 11 = 3. Does 6 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 15*i + 2. Let j(r) = -5*r**2. Give z(j(n)).\nAnswer: -75*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 179, 262, 335, 356, 283, 74?\n\"Answer: -7*s**3 + 37*s**2 + 21*s + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2998757 * -129\nAnswer: -38.6839653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 4365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5913 or -479000\/81?\nAnswer: -479000\/81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 42305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23.58 + -33.39. Let l = 0.19 - z. Let j = l + -10.000076. What is j rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 83 = 2*h, -3*h + 14 + 67 + 11 = 2*a for h.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in nineteen quarters of a millennium?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407327 is divided by 58?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((125\/5)\/(-5)*4\/10)\/(424\/18868)\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 14) in base 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -7*u + 5*u. Suppose -u*w - 6*w + 55 = 0. Suppose -w*o = -2*z - 281, 4*o + 2*z - 208 = -2*z. Is o a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -58 - -94. Suppose 49 + i = -5*b. Are -16 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 8*t - 3. Let j be g(7). Is 5 a factor of j\/18 - 399\/(-27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 926*o**2 - 4934*o**2 - 3592*o**2 - 3960*o**2.\nAnswer: -11560*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 4 = 5*t - 3*s, -2*t + s + 2 = 0. Suppose -k + u = -10 + 1, -2*u = -t*k + 22. Solve 6*n + k = 5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60911 is divided by 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 251686 and 1342.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 8*f**2 - 6*f + 7. What is o(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 799 = 80*a - 583 - 378 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4*s - 24, 3*y = -2*s - 80 + 92. Let l(n) = 0*n**2 - 2 - n**3 - n - n + 6*n**2. Determine l(s).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 103\/3 + -34. Put 11, a, 1 in descending order.\nAnswer: 11, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/22 and 89\/140684.\nAnswer: 1547524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 26658187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 393.1424 decades in millennia?\nAnswer: 3.931424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + -29. Let o be (2\/(-8))\/(g\/56). Is o equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2473 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56537?\nAnswer: 13, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 8. Suppose 2*u + 28 = -2*u. Let c be -2 - (2 + -2) - u. Solve -c*x = 4*p, 0*p - 4*p = -f*x + 32 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-30)\/(-20)*2*1)\/(-1). Let w be -3*(-2 - (m + 2)). Solve 0*l = -w*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 1063\/4, 2, -5, 3\/82?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3550 + -3530. Solve 110 - j = -18*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away -280?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1624611394?\nAnswer: 2, 7, 23, 599, 8423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 1410*u**3 + 4*u**2 + 578. Let t(f) = -2819*f**3 - 7*f**2 - 1161. Let i(s) = 7*j(s) + 4*t(s). Differentiate i(a) with respect to a.\nAnswer: -4218*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 12:28 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*f - 4*r - 1 = 86*f, 5*f - 6 = r for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*o + 5*w - 5895, 0 = -5*o + 3*w + 29531. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 439018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*q**4 + 3*q - q**3 - q - 13*q**4 to the form h + b*q**3 + p*q + w*q**4 + a*q**2 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h. Let m(f) = 7*f. Give -m(j) - 3*r(j).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, n: 7}. Give prob of sequence nm.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.404, 5\/3, 1.99, 0 in decreasing order.\nAnswer: 1.99, 5\/3, 0, -1.404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 632 + -600. Solve 4*n + 16 = k for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -12 + (-364)\/(-21) + (-2)\/6. Solve -5 = -o, 0 = -3*q + z*o - 15 - 22 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -66*l - 80. What are the prime factors of p(-14)?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 383990 divided by -508?\nAnswer: -191995\/254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1850533 = -149*r + 6244990. Is r a multiple of 261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 0. Let s(u) = u**3 + 3*u**2 + 2*u + 2. Let b be s(t). Solve -5*x - 17 = -4*o, -1 = -o - 4*x - b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 1 + 4 + 5*s**2 + 144*s**3 + 7*s - 145*s**3. Let t be 8 + -4 + (-2)\/(-1). Let o be f(t). What is the highest common factor of o and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 + 9*b - 10.\nAnswer: (b - 1)*(b + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 898240 and 1616832.\nAnswer: 8084160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 135*a**2*c**3 + 4657*a + 541247*c**3 with respect to a.\nAnswer: 270*a*c**3 + 4657","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lclcllcclcccc. Give prob of sequence clc.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178920492.\nAnswer: 2, 3, 19, 227, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j**2 - 5*j**2 + j**2)*(3*j**2 + 6 - 6).\nAnswer: 3*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 17*j**2 - 4*j**2 + 10*j**2. Let l(o) = -206*o - 16. Let v(g) = -90*g - 7. Let r(z) = -7*l(z) + 16*v(z). What is r(t(b))?\nAnswer: 46*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a - 3. Suppose h - 6*j = -j + 15, -3*h - 3*j = -9. Let m(z) = -96 - 7*z + h*z + 100. Determine -6*f(u) - 5*m(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j + 0*j - 5*j)*(-2 - 2 + 3)*(3 - 2*j - 3) in the form q + r*j + h*j**2 and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 628*p - 610*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*h - 54 = 0. Solve -d = -4*c - h - 13, 0 = 4*c - 3*d + 26 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*a**2 - 72*a**2 + 2*a - 6*a + 4*a.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 5:22 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.57067 to two decimal places.\nAnswer: 0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 9 = 3*s + 1, -3*i - 5*s - 28 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, d: 6, z: 2, i: 4}. What is prob of picking 1 u and 2 z?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -101011001011001010 (base 2) to base 16\nAnswer: -2b2ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 0.20473925\nAnswer: 0.20473925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lw when two letters picked without replacement from lwwlwwlllwwwww?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {h: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.04, -6\/13, 0.5, -4, -0.7, -0.05, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10130 + 12?\nAnswer: -10112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4 + 2235*x**3 + 8979*x**2 + 6741*x.\nAnswer: -3*x*(x - 749)*(x + 1)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2 + 15*x - 7. Let u be j(7). Suppose -f - 1 + 27 = u. What is the derivative of -11 + 35*z**2 - 59*z**2 + f*z**2 wrt z?\nAnswer: 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -511874 divided by -439\nAnswer: 1166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 392529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.22 - 0.220042. What is h rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 36*b + 159. Let l be t(34). Let u = l - 176. List the prime factors of u.\nAnswer: 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -c + 283, 0 = c + 3*c - 5*n - 1119. Suppose -u + c + 263 = 5*o, -2632 = -5*u - 3*o. Suppose 0 = -0*i + 4*i - u. Is 24 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-20)\/(-150))*68*3\/30.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 58\/(-14) - (5 + -4)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11011\/2 - -5506. Solve -3\/4*c + 0 + p*c**2 + 1\/4*c**3 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*t + 11*t. Let x(v) = -v + 16. Calculate the smallest common multiple of x(t) and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 d when three letters picked without replacement from vvpsdsv.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -13*n + 1. Suppose 4*f = 2*w - 0 + 6, -3*w - 4 = -f. Suppose 0 = 2*x - b - 42, 0*x - 3*b = -x + 26. What is the least common multiple of g(w) and x?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5968347493120 and -0.3.\nAnswer: 5968347493119.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 13*j**6\/20 + 123*j**5\/40 + 43*j**4\/8 + 15*j**3\/4 - 5435*j. Factor c(y).\nAnswer: 3*y*(y + 1)**2*(13*y + 15)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -128.\nAnswer: -3\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -330, -658, -986, -1314, -1642, -1970?\nAnswer: -2298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(45) + (sqrt(45)*2)**2 - (-3 + sqrt(5) + 2 + sqrt(5))*-3.\nAnswer: 9*sqrt(5) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00017618304 rounded to 5 decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/(-9 - -5)*(-4 + (211 - -2)). What is the highest common divisor of d and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**3\/5 - 4*q**2\/5 - 7*q\/5 + 2 = 0.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 6*p**2 - 5 + 3 + 13*p + 7*p**2 + 9. Let z(d) = -7*d**2 - 7*d - 4. Let h(v) = 4*y(v) + 7*z(v). Find the second derivative of h(b) wrt b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) -0.2 (b) -1\/3 (c) -0.0152 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6\/31 + 91\/310. Let v(t) be the second derivative of 1\/21*t**4 + n*t**5 + 0*t**3 + 0 + t + 1\/21*t**6 + 0*t**2. Determine i, given that v(i) = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12870379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.18895906 + 4985?\nAnswer: 4978.81104094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4381 (base 12) in base 14?\nAnswer: -29d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -87557 + 59711. Let n = 39289 + s. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 7*g**3 - 3*g. Suppose 96 = -15*n + 3*n. Let j(r) = -20*r**3 - r**2 + 8*r. Calculate n*z(w) - 3*j(w).\nAnswer: 4*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h + 860 = 157*h - 532. Let k(s) = -s**3 - 2*s**2 + s - 4. Let m be k(-3). Suppose m*g + 60 = 5*g. What is the highest common divisor of g and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*g - 6703*g**2 + 156*g - 80*g.\nAnswer: -6703*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 8*q + 15. Let o be h(-3). Let x = -3\/23 + 55\/69. What is the nearest to x in o, -1, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96667343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5491 or 40770?\nAnswer: 5491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1024 in -2\/9, -5, -3\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 35*u - 33*u - 18, 33 = 5*k + u. Suppose -c - 3*a = -0*c, -4*c + 5*a + 17 = 0. Solve 0 = -5*y + c*l + k, -5*l = -2*y - 14 + 2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 6:10 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1\/2 (b) 3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t + 4*m = -20*t + 8, -4*m + 32 = 4*t. Sort t, 14, 0.18 in increasing order.\nAnswer: 0.18, t, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -9*y**3 + 2475*y**2 - 168084*y - 228510. Let d(g) = 18*g**3 - 4949*g**2 + 336168*g + 457026. Let o(j) = -3*d(j) - 5*u(j). Factor o(q).\nAnswer: -3*(q - 138)**2*(3*q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1119 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -99 + 102. Suppose 10 = -4*v - s, -4 = 12*v - 7*v - a*s. Which is greater: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sdik when four letters picked without replacement from isisdikkskjxik.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 450 + -246314?\nAnswer: -245864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1319 is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 - 48. Sort -5, j, 9 in ascending order.\nAnswer: -5, j, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -3*z + 171, -65 = 2*h - h - 3*z. Let j = 5115\/14 + -366. Calculate the common denominator of j and 2\/(-1) + h\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 158, 1248, 4274, 10226, 20094, 34868?\n\"Answer: 165*u**3 - 22*u**2 + u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l - 7. Let f be (-1)\/(2*(-3)\/18). Let b be k(f). Let v = 11 - b. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**3 + x**2 + 6. Let g(t) = 3*t**3 + 2*t**3 - 4*t**3 + 0 + 1 - 2*t**3. What is 6*g(c) - k(c)?\nAnswer: -9*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 950*u**2 - 3787*u - 23. Give r(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -2.6. Let n(p) = 2*p + 12. Let s be n(-5). Let c be (3 - (-55)\/(-10))*(-4)\/s. Put m, 2\/9, c in descending order.\nAnswer: c, 2\/9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 3 - 3 - 115*m - 29*m - 7.\nAnswer: -144*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = n + 13. Let x(k) = 36*k**2 - 4*k - 3. Calculate the remainder when x(n) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206048341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 82757251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 43\/5 (b) -0.3 (c) 4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 6 - 26. Let m = 20 + v. Suppose 5*n + 0*n - m = 0. Which is smaller: -5 or n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - 13) + 30 - (2\/4)\/(30\/(-900))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*w - 2*s - 1, -4*s - 12 = 0. Let a = -10.2 + 8. Let u = a - -2. What is the smallest value in w, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 2, 113 in ascending order.\nAnswer: -2, 1, 2, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.4333 to one dp.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 51\/8 of a gram?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 3169084*n - 28521843. Calculate t(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-968)\/24)\/11*-1641?\nAnswer: 11, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2064215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11350177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o**3 - 5*o**2 + 4*o - 10. What are the prime factors of x(-9)?\nAnswer: 2, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 20 = 3*y, 2*f - 6 - 18 = -4*y. Let v be 6\/(-12)*-10 + y. Solve v*m - 11*m - 10 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 693256.5 minutes?\nAnswer: 41595390000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 3*i - 3*s - 135, -s + 155 = 5*i. Does 32 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2536290 or 36?\nAnswer: -2536290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -88*r**2 + 200*r - 200*r + (-1 + 1 + 3*r)*(0 + 0 - 2)*(3 + 3 - 4)*(10*r - 7 + 7).\nAnswer: -208*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 + -824?\nAnswer: -813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10939\/21 - -3805\/7. What is the common denominator of -21\/1082 and x?\nAnswer: 3246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 2*s**2 + s**2. Let j(i) be the first derivative of -7*i**2\/2 + 423. What is j(n(k))?\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2*h**4 - 2*h**2 - 15*h - 2 + 17*h + 0*h**2 to y*h + o*h**3 + g*h**2 + w + z*h**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/9))**(-38)\/(a**4)**(-24))**(-4\/9) assuming a is positive.\nAnswer: a**(-3152\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = -4 + 28. Let o be 30*(168\/165)\/t. Let r = o + -449\/66. Calculate the common denominator of -65\/27 and r.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -z**5\/40 + z**4\/4 + 8*z**3\/3 + 1. Let g(b) be the third derivative of n(b). Determine g(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b*b*b**2*b*b*b)*b**(2\/45))**(-29))**(-37) assuming b is positive.\nAnswer: b**(-335849\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 12. Calculate the smallest common multiple of g and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, -3669, -0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3278125?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -525 (base 6) in base 3?\nAnswer: -21022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 2*q - q - 4 + 4 + q + 5*q + 0*q - 4*q + (-q - 2*q + q)*(0 + 1 - 2))*(132021*q - 66011*q + 2294*q**2 - 66011*q).\nAnswer: 4588*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o - 17. Let p(l) = 4*l + 18. Let h(g) = -2*p(g) - 3*w(g). Let q be h(3). Factor 16*r**2 + 16 - q*r**2 - 14.\nAnswer: -2*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**3 + 51*o**2 + 27*o + 34. Let y be i(-25). Let r(d) = -d**3 + 6*d**2 + 11*d - 7. Let z be r(7). Let a = z + y. Solve -a*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 71 + -51. Calculate the highest common factor of a and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.98018 rounded to one dp?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 7. Let y(t) = t - 36. Let m = 12 + -1. Let n(o) = m*j(o) + 2*y(o). What is the derivative of n(w) wrt w?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -u**5\/270 - u**4\/36 + 3*u**2. Factor y(n).\nAnswer: -2*n*(n + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14137 and 1899?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - 0\/(6\/2). Suppose t + o - 5 = 0. Suppose -t*j - 25 = 3*q, j - 3*q = -2*q + 3. Which is smaller: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 8:21 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from ssddd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 4, 3, -5, -1 in decreasing order.\nAnswer: 14, 4, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13, -2\/13, 2.717, -3\/29?\nAnswer: 2.717","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1090853 and -6.23.\nAnswer: 6796014.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 1409*t + 16 - 1281*t - 30 to o*t + k and give o.\nAnswer: -2690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70835 and 310.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108, -127, -532, -1119, -1900, -2887, -4092, -5527?\nAnswer: -7204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand w + w**3 - w + (-2 + 2 + 2*w**3)*(3 - 1 - 1) + (-11*w - 2*w + 4*w)*(-60*w + 16*w**2 + 60*w).\nAnswer: -141*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*z - 35 = 0, 9 = -2*p + 3*z - 4. Let w(h) = -2*h - 12. Let f be w(p). Solve -19 = -f*u - 7, 0 = 2*n - 4*u + 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**2 - 29*z - 54 = 0?\nAnswer: -27, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from mssmmss.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 440369099 to the power of 1\/2, to the nearest integer?\nAnswer: 20985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**2 + 4*z**2 - 7*z**2 + 3*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/2 - (-21)\/14. Let z = 140\/549 + -2\/61. Put -1\/3, z, v in ascending order.\nAnswer: -1\/3, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + (17 - (16 - -2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38035754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 29.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13401614.\nAnswer: 2, 59, 137, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 12:43 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = p - 3*m - 2*m, -3*p + 4 = m. Let u be -2 - (-1 + 118\/2). Let y be (p\/(-2))\/(2\/u). Calculate the highest common divisor of 15 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10285 is divided by 42?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19034 + 19039. Let w(n) = 2*n**2 - 1. Let f be w(-2). Which is the nearest to -1\/3? (a) 4 (b) k (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 9*h. Let k(t) = 2*t - 5. Let x(b) = 1. Let s(m) = -k(m) - 5*x(m). Calculate n(s(p)).\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -806 + 911. What is the greatest common divisor of g and 357?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)*v*v**(1\/4))**(-45)\/((v\/(v**(2\/5)\/v))**(15\/2))**(-1\/3) assuming v is positive.\nAnswer: v**(151\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*25 - 2 - -1. Let o be (0 + 27\/(-6))*y. Let p = -3 + 16. What is the greatest common factor of p and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137665 = 96*s - 101*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by -2640.\nAnswer: -7\/528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -709, -669, -427, 17, 663, 1511?\n\"Answer: 101*m**2 - 263*m - 547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h - 30. Let v be (-2 - (2 + -3))\/(4\/(-88)). Let n be p(v). Which is the biggest value? (a) 3 (b) n (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1793612474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*y = -v + 196, 0 = -2*y - v + 387. Suppose -192*j = -y*j - 5. Suppose -x - j*d = -24, 3*x - 32 = 2*d + 3*d. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -132998, -265998, -398998, -531998, -664998, -797998?\n\"Answer: -133000*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -5, -7, 3\/8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (62\/(-310))\/((-4)\/62) and 17\/614.\nAnswer: 3070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/372)\/((-3)\/(-184)). Let y = p + -13775\/6138. What is the common denominator of 69\/20 and y?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1375760 divided by 2965.\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*u - 49800000. Round u to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*z - 3*y, -5*z = -11*y + 6*y - 40. Calculate the remainder when 105 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -436.180353 rounded to the nearest integer?\nAnswer: -436","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 31*j + 108. List the prime factors of h(-36).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 0*y - 4*m + 18 = 0, 2*y + 2*m - 8 = 0. Suppose 3*b - 5 = -y. Solve k = b - 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.653 and -34842506.32?\nAnswer: 34842504.667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 76, 100, 134, 178?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 24*d**2 + 23*d + 8. Suppose 0 = 5*y + 10, -2*j + 31 = -3*j - 4*y. Calculate the lowest common multiple of 11 and m(j).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1288073?\nAnswer: 17, 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 10*u + 6. Let o be h(6). Suppose 0 = 3*m - m - o. Let y(b) = -b**2 - 7*b - 3. Calculate the remainder when m is divided by y(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -142 + 170. Suppose 2*y - 5*f + z = 0, 5*y - 2 = -3*f - 10. List the prime factors of 2\/8 - 1111\/y.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 441600 and 30.\nAnswer: 441600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 b when three letters picked without replacement from aaaaababaaab.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -47*d**2 + 70*d + 232. Calculate s(-3).\nAnswer: -401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in 0.1, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 295763 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*g = -31*g + 6. Solve 0 = 3*y + 6 + g for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*r + 19787 + 2997 = -230*r for r.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p**2 + 5*p - 3. Determine t(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -5 - -1 - (2 + -6 - -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 40*w + 118. Calculate b(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (2 - 11)\/3. Let o = 6 - u. Suppose o*q = 7*q - 8. What is the remainder when 5 is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -874*b - 96 = -898*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 0 - (-1 - 2). Let y(v) = 5*v - z*v + 3*v. Let a(g) = 3*g + 7*g - 9*g. Give a(y(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9*(-1)\/(-7))\/(-1). Let r be (0*(-10)\/(-200))\/2. Are y and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1906\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -111 + 774\/7. Which is the closest to 0.3? (a) -2\/5 (b) p (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -4, -15, -5 in increasing order.\nAnswer: -15, -5, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 115 - 121. Let f be 2 + 30\/3 + m. Solve g - 28 = -f*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 216, 208, 186, 132, 28, -144?\n\"Answer: -3*o**3 + 11*o**2 - 20*o + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -4, 101\/11, -0.1 in decreasing order.\nAnswer: 101\/11, 4, -0.1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 69.42 + -0.42. Let j = -72 + g. Put 1, 22, j in increasing order.\nAnswer: j, 1, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of h**5\/20 - 5*h**4\/4 + 29*h**3\/6 - 33*h**2\/2 - 19*h - 18. Determine u(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 25\/9 + (-8)\/(-36). What is the derivative of -3 + b**3 + 2*b**g - 2*b**3 wrt b?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16371?\nAnswer: 3, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 18*u**3 + 6*u - 7. Let v(b) = -17*b**3 - 5*b + 8. Let y(m) = -5*t(m) - 6*v(m). Find the first derivative of y(h) wrt h.\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 5*w**2 - 2*w - 1. Let n be r(3). Suppose -197 + 1802 = 3*f. Let y be (-3)\/(-5) + f\/25. What is the greatest common factor of n and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-6))\/((-4)\/8). Solve -x*r + 1\/3*r**2 + 1\/3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4767 or 265761?\nAnswer: 4767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**3 - 2*k**2 - 6*k + 1. Let p(l) = 9*l**3 + 7*l**2 + 38*l + 2. What is 3*h(u) + p(u)?\nAnswer: 3*u**3 + u**2 + 20*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 0.37?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -227428343, -227428328, -227428295, -227428238, -227428151?\n\"Answer: f**3 + 3*f**2 - f - 227428346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 252*l + 6121. Give d(-24).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1153906967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003524052 to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 172471.\nAnswer: 172470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*m**3 - 2011125*m**2 - 1340735*m - 223455.\nAnswer: -5*(m + 44691)*(3*m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -502 - -722. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 2\/5 (b) -2 (c) -167 (d) 53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x - 33 + 33)*(-4 + 3 - 1) + (3 + 1 + 18)*(2*x - 3*x + 1 - x).\nAnswer: -36*x + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-63*b**3 - 4*b**3 - 9*b**3)*((2 - 3 + 0)*(-1 + 1 + 2) + 6 - 3 - 2 + 0 + 4 - 2) to a + w*b**3 + t*b**2 + k*b and give w.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-177)\/(-767)*(-3)\/36?\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2299 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -397*y - 7. Determine p(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - d = -3*y + 35, 2*y = 3*d + 27. Let j be 32132\/87 + (-2)\/y. Calculate the greatest common divisor of 41 and j.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (s**2 - 2*s**2 - s**2)*(-s - s + s) - 7809*s**3 - 38 + 3210*s**3 + 38 as b*s**2 + f + x*s**3 + d*s and give x.\nAnswer: -4597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -9. Suppose 6 = 22*h - 19*h. Suppose -h*o - 4 = p - 3, -2*o = 2*p + 2. Put -3, y, p in decreasing order.\nAnswer: y, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -684\/13 - -41698\/793. Let a be (14\/(-18) + 1)\/((-16)\/(-72)). What is the smallest value in a, -2\/5, h?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 12 = -s. Let t(m) = -3*m + 2. Let f(a) = 6*a - 4. Let z(x) = s*f(x) + 5*t(x). Calculate z(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -3*r - r + 80, 0 = 4*b - 3*r - 95. What is the greatest common factor of b and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 9:16 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/6 - (1 + -3). Let k be -5*(6\/(-10) - 1). Let s be k\/5 + n\/10. Solve -3*i = m - 5, 4*m - 2*i - 10 = s*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - -277712360971?\nAnswer: 277712360971.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 161 and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12112819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (-46 + 11 + 18 - -15) - -52\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + 19. Suppose -5*m + 11 = -4. Suppose 0 = 3*k + m*v - h + 4, 10 = 5*k - 5*v. Solve -5*q + 13 = 5*t + 3, 0 = 3*q - 4*t - k for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3499488.59826 - 4?\nAnswer: 3499484.59826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*(h\/h**(2\/7))\/h)\/h)\/(h**(1\/4)*h))**36 assuming h is positive.\nAnswer: h**(-387\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -375\/4*m + 0 - 3\/4*m**4 - 225\/4*m**2 - 45\/4*m**3.\nAnswer: -3*m*(m + 5)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2. Let i(m) = -m**2 + 41. Let p(z) = 2*z**2 - 46. Let w(b) = 5*i(b) + 4*p(b). What is a(w(o))?\nAnswer: -18*o**4 - 252*o**2 - 882","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2216\/(-96) - -23)\/((-27)\/(-144))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a - 1. Let v(z) = 6*z + 17. Let k = 70 - 94. Let l be (-9)\/k - 13\/(-8). Let w(q) = l*j(q) + v(q). Find the first derivative of w(r) wrt r.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6326 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -7, -4 in descending order.\nAnswer: -4, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, d: 1, l: 2, k: 1, a: 1, s: 1}. Give prob of sequence seks.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -c**9\/151200 + c**7\/4200 - c**6\/900 + c**5\/30 + 7*c**2. Let o(y) be the third derivative of g(y). Factor o(s).\nAnswer: -2*(s - 1)**2*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2 + 4*r - 3. What is the units digit of g(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + (-13)\/(-4))\/(1\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 1:08 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 483, 470, 457, 444, 431, 418?\nAnswer: 405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -178*((-325)\/(-80) + -4). Is -12 greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55066 is divided by 1449.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 636, 2, -3 in decreasing order.\nAnswer: 636, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14015423 is divided by 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4925)\/50 + 66)*(-4)\/(-5)*(-50)\/(-20)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 221328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**4\/4 + l**2\/2 + 20. Find the second derivative of v(s) wrt s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 10, -3*w = 2*v + 55 - 74. Put -53, 1, 0, v in descending order.\nAnswer: v, 1, 0, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of 41\/27*v**3 + 2*v + 7\/108*v**4 - 4\/3*v**2 + 15. Let c(a) = 0. What is a?\nAnswer: -12, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 1. Let t be c(-1). Suppose t = 2*g - 55 - 27. Suppose 2*i - 7 = -3*u + 12, 4*i + 5*u - g = 0. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**2 + 6*y - 62. Let t be f(-6). Calculate the highest common divisor of t and 75.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15581.98 - 15446. Let d = v + -136. Put -1\/5, d, 0.4 in descending order.\nAnswer: 0.4, d, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 11*n**2 + 17*n**2 - 11*n**2)*(2*n + 2*n - 3*n + (6 - 43 - 13)*(2*n + 1 - 1)).\nAnswer: 495*n**3 - 297*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 6*o + 2. Suppose -7 - 1 = -4*y. Calculate the remainder when 26 is divided by j(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y - 43*y + 9*y + 6*y + 12*y + 15*y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 870\/2 + 9 + -10. Suppose -o = -6*i + 790. Suppose -4*v = -v - i. Is v a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s = 42641 + 896. Let g = s - 1524. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2\/15, -4, -3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 4*j - 34, j - 3*j = 4*h - 8. Let o(g) = g**3 - 10*g**2 + 13. List the prime factors of o(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 4122.\nAnswer: 4122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + (1*3*(sqrt(126) - 1*sqrt(126)))\/(-3*sqrt(14)\/(sqrt(2)*2))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 11*f - 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 7*s + 5. Let f(a) = -8*a**2 + 2*a - 1. Let k be f(1). Let p be u(k). Suppose -p*g + 53 + 42 = 0. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a millisecond in microseconds?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 less than -260676?\nAnswer: -260709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/105787 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/144*-12*1\/(-1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - d = 7, 2 = -2*b - 3*d + 1. Suppose 8 = 3*r - 0*r - g, -4*g = b*r. Solve 0 = m - r*m - 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -1486653?\nAnswer: -5\/1486653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4895 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-5) + (-46020)\/(-25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -2*f + 22, -5*k = -f - 3*f + 18. Suppose 0 = -f*j + 9 + 145. Let l be j\/30 - 16\/40. Sort 1, l, 0.1 in descending order.\nAnswer: 1, l, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - y = -24. Does 5 divide y + -3 - 14\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -11. What is the smallest value in -1\/7, -3\/2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-857 + 429 + 439 + y)*(1 - y - 1).\nAnswer: -y**2 - 11*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 6*w**2 + 300 + 13*w**2 - 15*w**2 + w to the form j + s*w**2 + i*w and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + (sqrt(68) - (sqrt(68) - 6*sqrt(68)*-1)) + sqrt(68))\/sqrt(4).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/93 and -9\/7.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 9:14 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1308 is divided by 69.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/34*(-85)\/45. Let t(z) be the second derivative of z**3\/6 - 3*z**2\/2 - z. Let n be t(6). Sort n, q, -1\/4.\nAnswer: -1\/4, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.044486466 rounded to 3 decimal places?\nAnswer: 0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1313244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 41.49684 micrograms?\nAnswer: 41496.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -0*h. Suppose -4*w + 0*f + f + 150 = 0, h = -4*w + 2*f + 148. Calculate the remainder when w is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((((-12)\/22)\/(169944\/(-8536)))\/(2*1))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -24, -12, 4, -30, -2, -4 in ascending order.\nAnswer: -30, -24, -12, -4, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2358 and 30461364.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3997080 by -999270.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from 88835118335783.\nAnswer: 88835118335781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3699?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -741 = 2*x - 777 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -14*s**3\/3 - 11*s**2\/2 + 6. Find the second derivative of f(m) wrt m.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(136))\/((-1*sqrt(80))\/sqrt(10)).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37994 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 34, 135, 320, 613, 1038, 1619?\nAnswer: 2380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(s + 2*s - 2*s)*(0*s - s + 5*s)*(5 - 3 - 3).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 42\/245*(-5)\/2. Let m = 1136\/2865 - -2\/573. Sort 4, 1\/25, s, m in descending order.\nAnswer: 4, m, 1\/25, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)\/(-2*sqrt(11) + sqrt(11)) - (-2 + sqrt(22)\/sqrt(2))) + 0.\nAnswer: -2*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-5) - 10\/(-50)*152. What is the greatest common divisor of 4335 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*r - r - r)*(-3 + 1 + 1) + 1 - r - 1)*(-r**3 + r**3 - 2*r**3) + 4*r**4 - 5*r**4 + 5*r**4.\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-2 + -6 - -1 - (53 - 65)) + -10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2743697.\nAnswer: 11, 249427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 3*q + 23 = 0, -2*b + 7*q - 2*q + 29 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1319393773.\nAnswer: 29, 79, 575903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 464?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 - 138 - 149 - 29)*(-33 - p + 33).\nAnswer: 278*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, o: 2, t: 6, c: 8}. What is prob of picking 1 t and 3 c?\nAnswer: 28\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 49. Let c = 148 - u. What is the remainder when c is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/664 and -53\/6.\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 39*l**2 + 837*l + 1140 = 0.\nAnswer: -20, -19\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + m + 2*b = 8, -5 = -5*b. Solve -3*u + m*u = -3*z + 3, u - 3 = -2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -49 by -240.\nAnswer: 49\/240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 + 482*y**2 + 5524*y + 5040.\nAnswer: -2*(y - 252)*(y + 1)*(y + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d - 12. Suppose 2*h - 89 = 3*l, 4*h = -4*l - l - 141. Let r = l - -24. Let k(i) = -5*i - 16. Let b be k(r). Give p(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a*t**2 + 357*a + 11938*t**2 - 3*t - 232 wrt t.\nAnswer: -2*a*t + 23876*t - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 8\/10) + 150917\/65. Suppose 156 - g = -6*a. What are the prime factors of a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 82, 0, -4, 4 in descending order.\nAnswer: 82, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 4 - (1 + 6 + -9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/3 + 4 + 1\/3. Let s(c) = 5*c + 2*c**3 - 4*c**m + c**2 + 4*c**2 + 3*c**3 + 3. Suppose -3*b - 5*y - 19 = 0, 6 = -4*b + 3*y - 0. Give s(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, r: 1, y: 1}. What is prob of sequence fy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (126\/(-27))\/(((-1421)\/42)\/29)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112101 - -11?\nAnswer: 112112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4066*j - 10805*j - 22856*j to k*j + o and give k.\nAnswer: -29595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459584 is divided by 9772.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*sqrt(147)*-2 + (sqrt(147) - -5*sqrt(147)*1))**2.\nAnswer: 56*sqrt(3) + 592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + 2.8. Let f be 21\/6 - (2 - -2*(-6 + 8)). Sort f, 1\/4, r, -4 in decreasing order.\nAnswer: r, 1\/4, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9852446ug to grams.\nAnswer: 0.0000009852446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(7 - (-64)\/(-8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1492.9 and 0.03?\nAnswer: 1492.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*b + 4*c + c, 0 = -b + 3*c + 7. Let g(d) = -3*d - 5 - b*d + 4*d + 0*d. Let o be g(-4). Calculate the highest common divisor of o and 42.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 27 - 109 + 189*m**2 + 25 + 29.\nAnswer: 189*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p - 12*p - 55 = 0. What is the tens digit of 8*((p - -1) + -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -1442202023?\nAnswer: -1442202033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-7\/3)*s*s*s*s**(1\/5))**(3\/10))**(-22) assuming s is positive.\nAnswer: s**(-473\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -670.5176 times -1.4?\nAnswer: 938.72464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -409 - -412. Let y = v + -2.99954. What is y rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 6 - 2 = 0. Is 3126\/v*(-2)\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 14*x**3 + 20*x**2 + 111*x + 626. Calculate f(-6).\nAnswer: -2344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*v + 2 = 25*v. Let t = v - -20. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5946*f + 35. Is a(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of z**3 + 2*z**2 + 1. Let r(a) = a**2 + a - 1. Let y(v) = 4*r(v) - u(v). Differentiate y(x) wrt x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -1\/3 (b) -0.4 (c) 3\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -102*j**2 + 2. Let x(c) = 221*c - 115*c - 108*c. Determine s(x(p)).\nAnswer: -408*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -6 + 0 + 1 - x + 5*x. Let b be z(5). Suppose 0 = -2*k - 1 + b. Solve -4*n = 5*l - k, n - l = -2*n + 10 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 91*y - 90*y - 118*y - 135*y + 24 - 149*y.\nAnswer: -401*y + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50 - -55. Which is the second biggest value? (a) -0.5 (b) i (c) -2 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1843*f - 1824*f = 23731. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + 3. Let m = -18.1 + g. Let f = -2.92 + -0.08. Which is the second biggest value? (a) f (b) 0 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of k**7\/147 - 2*k**5\/35 - k**4\/21 + k**3\/7 + 2*k**2\/7 + 15*k - 38. Let a(l) be the first derivative of c(l). Factor a(u).\nAnswer: 2*(u - 2)*(u - 1)*(u + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8765483 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 4, 1620 in ascending order.\nAnswer: -28, 4, 1620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387892.\nAnswer: 2, 96973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 12:15 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3 = n + 23, -5*n - m = -30. Suppose 2*f - n*f + 156 = 0. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 1. Let s = 3 + -3. Suppose 8 = 3*r + d, s*d = -2*d + 10. Let f(x) = 5*x**2 + x + 5. Determine r*f(q) + 6*k(q).\nAnswer: -q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 9) in base 8?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*b**5 + b**4 + 121*b**3 + 7911*b**2.\nAnswer: 420*b**2 + 24*b + 726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 11:47 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 8 - 7 = 0. Let d = 4 + -2. What is the remainder when k is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77700 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-8)\/24*(-6)\/(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2026*c - 5*c**3 - 671*c - 678*c - 677*c.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 2:03 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (1686 + 778 - 1114)*(v**2 + 0*v**2 - 3*v**2) as x*v + u*v**2 + f and give u.\nAnswer: -2700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 0.014 (c) 12 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 2*w = 50, 56*g - 54*g + 41 = -5*w for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7308163199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 - (-50 - -3) - 27 - (2 - -79).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzyzzzztzzzty. Give prob of picking 3 t and 1 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, s: 9, q: 4}. What is prob of picking 1 s and 1 q?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 174 and 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*g - 4*a - 0*a, -5*g + 2*a + 15 = 0. Let h be ((-12)\/(-56))\/(g\/(-4)). Suppose -5*t + 0*t + 10 = 0. Put t, -4, h in decreasing order.\nAnswer: t, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -144 - 40*j**2 + 153 + 4*j - 4*j. Let v(t) = -t. Determine g(v(y)).\nAnswer: -40*y**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 204060.7 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pdo when three letters picked without replacement from {n: 3, d: 2, o: 1, p: 2, s: 6}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 265430917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/5 + (-344)\/120)\/(-2). What is the second biggest value in -3, h, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, b: 3, f: 1, a: 1, h: 1}. What is prob of sequence fu?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 9 = 5*v. Let a(s) = s**2 + 2*s - 4. Let j be a(v). Let z be (-2 + 6 - (-2 + 5))*8\/25. Is z smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -500 + 551 + (-166 - 0).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -590 + 1365. What is the smallest common multiple of y and 775?\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -154 - 4?\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/((h*h\/(h\/(h\/(h*h**(-2\/5)))))\/h)*h)**(-2\/113)\/(h**(-1\/9)*h*h\/(h*h**(-13))) assuming h is positive.\nAnswer: h**(-70859\/5085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 278657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -42*r**3 - 11*r + 30. Let i(n) be the first derivative of -21*n**4\/4 - 3*n**2 + 15*n - 10. Let p(t) = 11*i(t) - 6*o(t). Differentiate p(d) wrt d.\nAnswer: 63*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 4*g - 28, 0*g + 2*g = 10. Suppose -k = -0*k + 2. What is the tens digit of (-8075)\/(-152) - k\/o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/2 + 2372\/2120. Let y = l - 1\/53. Sort -0.1, y, 2 in decreasing order.\nAnswer: 2, y, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6, -24, -54, -84?\n\"Answer: -30*k + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/2669634 and -68\/5784207?\nAnswer: 34705242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.13*-12659.12.\nAnswer: 1645.6856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 75.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c + 15. Let a be g(6). Which is smaller: a or -5\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 261, -3, -249, -477, -687, -879, -1053?\n\"Answer: 9*x**2 - 291*x + 543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50729046, -50729047, -50729048, -50729049, -50729050, -50729051?\nAnswer: -50729052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3585, -4640, -6387, -8820, -11933, -15720, -20175?\n\"Answer: m**3 - 352*m**2 - 6*m - 3228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15809.4288ns to days.\nAnswer: 0.0000000001829795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17379 - 11016 = 303*w for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 - 0.3. Let u = 0 + v. Let t = -1236.5 - -1237. Is t equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2307 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence byn when three letters picked without replacement from bndynynddy.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -35, 5, -3, -7, 0.2, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -268, -533, -798, -1063, -1328?\n\"Answer: -265*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27074563 and 3999?\nAnswer: 1333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*z + 2*n - 68 = 0, -3*z - 35 - 43 = -4*n - 39 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (16 - 11) - (8 - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -25*r - 47. Give p(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*p = -23, -52*p = -50*p - 10. Which is the second biggest value? (a) 1 (b) n (c) -5 (d) 2\/83 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12855, 47711, 104551, 183375?\nAnswer: 284183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 89 = -11. What is the remainder when n is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6118728.\nAnswer: 2, 3, 7, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53.511 + 0.511. What is the second biggest value in 4, -0.3, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llvfvclvffflzlzf. What is prob of picking 1 c and 3 f?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 516.9556 weeks?\nAnswer: 312654746880000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*o**3 + 16809*o**2 - 2*o + 53978726.\nAnswer: 72*o + 33618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 63 = 4*g, g = -c + 5*c + 37. Let h = -22 - -10. Let z = h + g. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80 - 35. Suppose -t = -10*t + z. Suppose -t*v + 1 = -4. What is the greatest common divisor of v and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -33, 18291, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1816675409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -47 + -3 + 13 - (-14 - -3 - -4).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1175790 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96276765?\nAnswer: 3, 5, 13, 163, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 4*d**2 - d - 2. Let q be l(-3). Find the common denominator of 97\/16 and (6\/15)\/(q\/130).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x**2 - 6*x + 4. Let l be d(1). Suppose 0*j - j = -6. Let f be 1 - ((3 - j) + -1). Solve -f*b + 15 = -6*p + 3*p, -l*b + 2*p = -6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 108, -1, 11, 2.\nAnswer: -1, 2, 11, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1940 divided by 1.\nAnswer: 1940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29820 and 1283190?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/184 and -55\/32.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/(i\/i**(-40)))\/i*i*i*i*i**(-2\/3)*i)\/(i*i**(2\/11)*i**18\/i*i) assuming i is positive.\nAnswer: i**(-1843\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 6, 2, -3 in descending order.\nAnswer: 8, 6, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -836, -2 in decreasing order.\nAnswer: 2, -2, -836","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-485)\/40 - (-11)\/88.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b = 17*b - 32. Let q(c) = 3 - 4*c - b*c + 11*c. Calculate the remainder when 36 is divided by q(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -548 = -3*h + h. Let c be h\/(-18) - (-6)\/27. Find the common denominator of (-6)\/c - (-749)\/(-60) and 99\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1212 (base 4) to base 15\nAnswer: 6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + -2 + (sqrt(25)\/sqrt(5) + sqrt(5))*-1 - (-4*(sqrt(720) + -1 + sqrt(720)))**2) + -1.\nAnswer: -46099 + 777*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-70*61\/(22875\/150)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2032 - -9027. List the prime factors of p.\nAnswer: 11059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 162.999948 + -163. Round w to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5440232613 to the nearest integer?\nAnswer: 73758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111482 = 2*u - 4*r + 6*r, 0 = u - 5*r - 55741. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 206853\/76 - (130\/(-40) + 2). What is the greatest common factor of m and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3853*a - 1181*a + 2365*a + 3957*a + (-3 + 4 + 1)*(-3 + 3 + a) as p*a + k and give p.\nAnswer: 8996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.33 - -15.47. Let n = c + -16.7999432. What is n rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 1192?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.59 + 1.09. What is the nearest to -0.1 in 0.1, g, 0.4, 0.31?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1900 - 1898. Solve -f - 2*f + 3*q = 0, -5*f + z*q - 6 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 152 + 135. Is 41 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -96.786 (b) 1\/4 (c) -0.243\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 0*v + 3*v + (13 - 2 - 4)*(0*v - 3*v + 2*v) + 3*v + 4*v - 6*v)*(4 - 6*v**2 - 4).\nAnswer: 24*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (198\/(-33) - 663\/(-110))*(-211)\/633.\nAnswer: -1\/110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, -5, 11.\nAnswer: -5, 0.6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(4\/3)\/(j\/j**(-6))*(j*(j\/(j**(-1\/2)\/j))\/j)**(12\/11))\/((((j\/j**(2\/5))\/j)\/j**(5\/6))\/(j**(-1)\/j)**(-32)) assuming j is positive.\nAnswer: j**(20557\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 29948*a + 36019?\nAnswer: 29948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 999 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-7*(-9)\/189)\/((-1)\/(-198336))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 less than or equal to 46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*p - 80. Suppose h - p = -3*h. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**4 + 2*y**4 - 5*y**4)*(-3*y + y + 3*y) - 7 + 7 + 6*y**5 + (0*y + y**3 + 0*y)*(1 + 4*y**2 - 1).\nAnswer: 9*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 9:32 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -871, -866, -847, -808, -743, -646?\nAnswer: -511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 4. Suppose 0 = -36*c + 7*c + 986. Calculate the remainder when c is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1\/4, 419, -0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w + 159. What is the hundreds digit of g(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1130 is divided by 1020.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 1:22 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o + 10*o - 7 - 5*o)*(0*o**3 + 2*o**3 - 3*o**3)*(1 - 1 - 1 + (1 + 2 - 5)*(4 - 2 - 1)).\nAnswer: -3*o**4 - 21*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 180 + -180. Let q(i) = -i**3 - i**2 + 30. Calculate q(d).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d - 4*d + d)*(3 + 2*d - 3) + 4 + 5878*d**2 + 38104734*d - 38104734*d - 4 to l*d**2 + q*d + w and give l.\nAnswer: 5876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5 = -3*t - 15, l = -2*t + 2. Suppose 0 = -2*q, 4*g - g - 18 = l*q. Let x(w) = -w**2 + 8*w - 9. Let r be x(g). Solve -r*v + 21 = 6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**3\/11 - 8*a**2\/11 + 470*a\/11 - 1900\/11 = 0.\nAnswer: -19, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -724*h**3*z**5 + 2*h**3*z - 1558453*h**2*z - 1136*z**5 wrt z?\nAnswer: -14480*h**3*z**3 - 22720*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 15 + 11*b**2)*(-b - 3*b + 2*b)*(2 + 4 - 4).\nAnswer: -44*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s**2 - 7*s - 2. Suppose 0 = a - 4*a + 33. Let f = 3 - 1. Let j(w) = -14*w**2 + 36*w + 11. Let c(y) = a*l(y) + f*j(y). Factor c(u).\nAnswer: 5*u*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u*u\/(u**(-2\/7)\/u)*u)))**10)**37*(u**1)**(1\/6)*(((u*u**1)\/u)\/u)**(-4\/39) assuming u is positive.\nAnswer: u**(66607\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - l + 25 = -4*c, -2*l - 2 = 0. Find k such that -36*k + 17*k**3 - 6*k**2 + c - 18*k**4 + 3*k**5 + 16*k**3 + 11 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 109, -26, 4, 100 in descending order.\nAnswer: 109, 100, 4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**2. Let v(h) = 167*h**2 + h - 22. What is v(k(u))?\nAnswer: 2672*u**4 + 4*u**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o + 3. Let b(p) = -6*p + 16. Suppose m + 3*j = 1, -4*j - 19 = -4*m - j. Suppose -m*y = 3 - 23. Suppose 0 = 2*n - 27 + y. What is n*g(s) - 2*b(s)?\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 10}. What is prob of picking 4 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-15))\/(2*(-10)\/12).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 1647 = 1614 for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 r, and 1 y when four letters picked without replacement from npyfnpypypyypyrfnfo.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*r**3 - r**3 + 2902250534*r**2 - 2902250534*r**2 + 2*r**3.\nAnswer: 27*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3 = 2, s = 5*m - 19. Determine b, given that 16*b**2 - 12*b**5 - 28*b**4 + 21*b - 4*b**2 - 9*b**3 - m + 11*b**2 + 9 = 0.\nAnswer: -1, -5\/6, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 1188*w + 7606. Calculate a(-7).\nAnswer: -710","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven fifteenths of a century?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336 = 5*s + s. Suppose 4*d + 0*d - s = -4*k, -3*k + 28 = -4*d. Suppose 0*v + 3*v = k, c = 5*v - 14. Solve -6 = -3*z + c*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29835 smaller than -30062?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11\/14 - 5\/7. Let g = -0.3 + 3.3. Which is the smallest value? (a) g (b) y (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32259978 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -12*q**3 + q + 1. Let f be d(-1). Let y be (-8)\/f*-3 + 7. Let b = 16 - y. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 197*s - 202*s - 5, -4*c + 3*s = -32 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.035 - -4.965. Let f = -18 + 9.18. Let o = f - -8.9. Sort u, o, 0.2 in increasing order.\nAnswer: o, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5432 * -0.2.\nAnswer: -1086.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -458\/181831 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1548*j**3 - 2727*j**2?\nAnswer: 9288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -2.83.\nAnswer: -0.849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*y**6 - 7*y**2 - 64*y wrt y?\nAnswer: -600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4*70885863\nAnswer: -283543452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-135)\/120)\/(8\/(480\/(-9)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-10)\/(-4)*(5 - 3 - -28) is divided by 40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 35 + 470. What is the common denominator of (k\/(-10))\/((-3)\/2) and -123\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -466, -479, -502, -535, -578?\nAnswer: -631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30906631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004203 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/2*1324\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 88763580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 8*n - 57. Let p(l) = 5*l - 38. Let f(i) = 5*g(i) - 7*p(i). Calculate the smallest common multiple of 15 and f(5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 790 and 1580?\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + -1. Let h = a - -2. Let t = h - -1.076. Round t to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7, 28, 3, 1, 4 in decreasing order.\nAnswer: 28, 7, 4, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -24\/11, 1, 0, 0.9, -1551?\nAnswer: -1551","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*u + 1)*(3 - 3 - 3*u**3) - u**4 + 4*u**4 - 2*u**4 + (-3*u**3 + 0*u**3 + 4*u**3)*(0*u - 2*u + 0*u).\nAnswer: -7*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -29*i - 39. Suppose 4*b + 5*n = 14, 6 = 2*b + n - 4. Let p(k) = 83*k + 118. Let a(x) = b*p(x) + 17*q(x). Find the first derivative of a(m) wrt m.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/312 and -21\/1534?\nAnswer: 18408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/25 or 10?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -107 + -483. What is the common denominator of 71\/32 and (3 - 0) + x\/(-60)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/9 (b) -0.2 (c) -1\/2 (d) 8 (e) -3 (f) 303\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3655*i**3 - 7*i**2 + i + 11 wrt i.\nAnswer: -21930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 639 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -3\/7 (b) -0.4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p - 1. Let h(b) = -7*b - 6. Let m(c) = c + 1. Let z(g) = h(g) + 5*m(g). Determine -5*s(i) + 6*z(i).\nAnswer: 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 152876.2nm?\nAnswer: 152.8762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59229, 59305, 59433, 59619, 59869?\nAnswer: 60189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hbhjhggjgjhhjbbbgh. Give prob of sequence jjg.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4964, -4960, -4956?\nAnswer: -4952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7735, 15492, 23265, 31054, 38859?\n\"Answer: 8*l**2 + 7733*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24 + 152\/7*z**2 + 12\/7*z**3 + 452\/7*z.\nAnswer: 4*(z + 6)*(z + 7)*(3*z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15.7, 1\/2, 4 in descending order.\nAnswer: 4, 1\/2, -15.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/8 - 3\/(6\/10)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -9*d**2 + 26*d - 2. Let b(h) = 47*h**2 - 129*h + 11. Give 11*a(s) + 2*b(s).\nAnswer: -5*s**2 + 28*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-28)*(-1)\/(-2). Let n = -16.93 + 17.43. What is the third biggest value in h, -4\/9, n?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -10*((-3)\/(-6))\/(-1). Suppose -d = -x*v + d, 0 = 5*d. Solve v*y + 2*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10187?\nAnswer: 61, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -423526811 from 10.44.\nAnswer: 423526821.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 11:14 AM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5482723 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01844 rounded to three decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -x**3\/3 - 3*x**2\/2 + 3*x - 176. What is w(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584)*-1 - (1 + sqrt(11) + 1))**2 + (5 + 3*(sqrt(704) - (1 + sqrt(704))))**2.\nAnswer: 52*sqrt(11) + 1867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -238 divided by 119\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 1:10 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/49 in 2, -1, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 6*s**3 + 3*s. Let z = 1 + 3. Let m(p) be the second derivative of -7*p**5\/20 - 2*p**3\/3 - 40*p. What is z*x(n) + 3*m(n)?\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(17\/((-272)\/16))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19026 is divided by 9506.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -14214 (base 8) in base 4?\nAnswer: -1202030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 + 56. Let a = k - 15. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00585 rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 237 = -3*u + 8*u, 0 = m + 4. Calculate the remainder when 236 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 420434, 840869, 1261304, 1681739?\nAnswer: 2102174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*-0.018.\nAnswer: -0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 12. Let r(n) = -3*n - 4. Give r(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4*c + 1, 3*t + c - 52 = -0*c. Let h = t - 7. Let p = h - -3. Solve 25 = 5*r, -4*f + 3*f = -4*r + p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -23*o**2 - 399*o + 255. Determine u(-18).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 130*z + 28 = 126*z, -4*b - 3*z = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 79148857 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*j + 371981, -1 - 4 = j. Let t be (-3 + s)*26*(-4)\/16. What is t rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 17 (c) -5 (d) 23389 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 58 and 319.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5))**28*(p**(-5\/6)*p)\/(p*p**3) assuming p is positive.\nAnswer: p**(-863\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence omii when four letters picked without replacement from {i: 4, v: 3, o: 1, m: 1, e: 4}.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w - 9*w - 7*w + 2*w.\nAnswer: -19*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -q**5\/60 + 5*q**2 - 9*q. Let r(o) be the first derivative of v(o). Let z(y) = 21*y. Calculate z(r(w)).\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(1 + 0) - 0. Factor -4*r**2 + 2*r**p + 0*r**2 + r + 3*r**2.\nAnswer: r*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 4*x + 2. Determine s(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0529 to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7703 divided by -859?\nAnswer: 7703\/859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 (base 15) in base 3?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13873, 27805, 41847, 56053, 70477, 85173, 100195?\nAnswer: 115597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from dnlunggnnnnngnnlng?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/((sqrt(2) + sqrt(4)\/sqrt(2))*-6 + sqrt(2)) + (sqrt(72)\/sqrt(3))\/sqrt(8) + 1*-2*sqrt(3))**2.\nAnswer: 432\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 191749253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -5*p + 4*l + 36, -5*p + 144 = -l. Does 29 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6351 a factor of 532283661?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -70.77 + -0.23. Let f = -70.67 - d. Let p = -1.33 + f. Which is the smallest value? (a) -2 (b) p (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15789990?\nAnswer: 2, 3, 5, 107, 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 22*c**2 - 33*c - 1041. Determine l(-6).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 + 8324?\nAnswer: 8318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*b + 4*m + 164, 5*b - 5*m = 415. Calculate the common denominator of -33\/2 and 2\/7 + 1138\/b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-12)*u*u)\/(u\/u**(6\/7)))\/(u**(-2\/39)*u**(2\/37)) assuming u is positive.\nAnswer: u**(-102481\/10101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9548?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -7. Suppose -4*v + 0*n = n - 140, 0 = -d*v - n + 174. Suppose 62 = 4*o - v. Is o a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28189107 and 9396369?\nAnswer: 28189107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 792032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m. Let k(h) = -851*h**2 + 184. Let u(f) = 46*f**2 - 10. Let l(j) = 5*k(j) + 92*u(j). Determine l(d(n)).\nAnswer: -92*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 + 221. Let v = n - 138. Calculate the greatest common factor of 15 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/12 + (-278)\/(-6). Suppose 11 - s = -7*x. Solve -r - x = -3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 1 + (-30 - -22) + -6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-3) - (-36)\/(-27). Let z be (p + 0)*(-6 + 5). Let u be (-1 - -3)*(0 - -1). Solve -s - z = -u*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/33 and -69\/88.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11 * -2846637.\nAnswer: 313130.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17593753?\nAnswer: 19, 925987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2371010054\/5 or -474202011?\nAnswer: -2371010054\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 103 + -69. Let h = -16 + 152. Let x = h - 115. What is the remainder when y is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 7:05 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jlg when three letters picked without replacement from {g: 2, l: 3, r: 4, j: 5, s: 5}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 242 and 528.\nAnswer: 5808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27536 - -82607\/3. Let k = 2 - 2.1. Which is the nearest to i? (a) -0.5 (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -j + 49, a - 3*a = 4*j - 40. Let v(d) = 45*d - 21*d + 4*d + a*d. Let x(f) = f. Determine v(x(i)).\nAnswer: 54*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -13587759?\nAnswer: -13587762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 7*p - 9*p - 33237 = -3727, 0 = 3*p. Is l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 400403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j + 25*j = 240. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**3\/2 - 37*z**2 + 9*z\/2 + 333 = 0. Calculate z.\nAnswer: -74, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 8*i - 1. Let h(p) = -6*p**2 + 33*p + 1312. Determine 4*d(k) - h(k).\nAnswer: 2*k**2 - k - 1316","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 8*b**2 - 4*b + 2. Suppose 11*p - 8*p + 24 = 0. Let r be i(p). Suppose -3*k + r + 17 = 0. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0613+1.4\nAnswer: 1.4613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 909?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(500))\/((sqrt(44) + sqrt(44) + sqrt(1584))\/sqrt(11)).\nAnswer: 5*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g**2 + 10*g - 6. Let j(c) = -11*c**2 + 29*c - 18. Let a(f) = -6*j(f) + 17*n(f). Factor a(r).\nAnswer: -2*(r - 1)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*y**2\/13 - 244*y\/13 - 2\/13 = 0.\nAnswer: -1, -1\/121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3060 and 255?\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(99) + 0 + sqrt(99) + -5 - (sqrt(99) - -4*(sqrt(99) + -1))) + 1)*4)**2.\nAnswer: 14256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -344122003423?\nAnswer: -344122003414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8486116?\nAnswer: 2, 2121529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*t**4\/7 - 190661130*t**3\/7 + 233023400495751*t**2\/7 + 250948483912548*t\/7 + 17924892755628\/7 = 0. Calculate t.\nAnswer: -1, -1\/13, 2444374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.13, 3\/4, -901 in ascending order.\nAnswer: -901, -3.13, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10001 (base 2) to base 13\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2529, 5059, 7589, 10119, 12649, 15179?\n\"Answer: 2530*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 329 divided by 4?\nAnswer: 329\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 r when four letters picked without replacement from rrolzrollwrllllwwoz?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4*t - 3*r - 41, 5*t + 2*r - 31 = 0. Let j be (-5 + t)\/(1 + 0). Let i(a) = j - 2*a - 2 + 0*a. Let u(h) = 2*h**2. Determine i(u(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1833103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17300 is divided by 5732?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) -10 (c) -2\/661 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2832 divided by 354?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -63 - -444\/7. Sort b, -0.3, 0.3 in decreasing order.\nAnswer: b, 0.3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -35849571 to the nearest ten thousand.\nAnswer: -35850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qssqsqsmqqms?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -444*x**4 + 3*x**3 - 1444 wrt x.\nAnswer: -1776*x**3 + 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 6. Let f be (-1)\/1*-2 - y. Let p(g) = -g**2 + 2*g + 50. Let m be p(-6). Solve 0 = -2*z - f*z - m for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10345 (base 9) in base 8?\nAnswer: -15275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 398 and 613517?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 436752*x - 668368 wrt x.\nAnswer: 436752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 210 by -112203.\nAnswer: -10\/5343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 - -5244?\nAnswer: 5223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 d when two letters picked without replacement from ppdpd?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, q: 2, i: 3, f: 4, j: 2}. What is prob of picking 1 i and 1 q?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 16*u**2 + 1. Suppose -2*n + 2 = 4*d, 2*d + 6 = 5*d. Let t(b) = b**2 + 4*b + 2. Let z be t(n). What is the remainder when 50 is divided by q(z)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-30)\/45 + 8*(-2)\/(-6). Suppose -11 = -3*j - i*f, 5*j - f = -0*f + 14. Solve 0 = 3*c - 5*k + 10, 2*c + 4 = j*k - 3 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 33213432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -171*d**2 - 212*d + 2.\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -7. Solve 3*z - 5 = z - 3*w, -3*z - i*w = -7 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s**3 + 0*s**3 + 3*s**3)*(5*s - 4 - 2 + 8) to a*s**2 + y + c*s**4 + b*s**3 + f*s and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 5*x**2 - 12*x + 102. Determine u(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 125887370 a multiple of 309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141705*y**3 + 3*y**2 + 22762 - 3*y**2 + 141702*y**3.\nAnswer: -3*y**3 + 22762","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 24, -1\/2, 0.3, 4\/3, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -4296?\nAnswer: 17184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d + 10. Suppose 796*v = 799*v - 15. Calculate r(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkp when four letters picked without replacement from {k: 6, p: 3, h: 1, r: 4}.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 105056799 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 11*f + 13*f + 2, 125*g = 5*f - 270 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 3:03 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -20082 plus 477849?\nAnswer: 457767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4325323911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 + -50. Suppose -600 = k*s - 9*s. What is s rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20.6 + -24.4. What is the closest to d in -0.4, -1\/8, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 616 + -584. What is the highest common factor of r and 576?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 37*c**2 + 10*c - 9. Let j be k(1). Suppose 18*w - j*w + 5040 = 0. Does 18 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-150)\/15*1\/1\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - 1036917 - 1036926 + 2073843 + 0*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j + 2. Let w = 158 + -157. Let s(g) = -1. What is w*k(h) + s(h)?\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -24.6.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -2, -16, 8 in decreasing order.\nAnswer: 8, 5, -2, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/4 + (-10)\/4. Let h(d) = -2 - 199237*d + 0 - d**2 - 2*d**3 + 199238*d. Calculate h(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 384783712 to the power of 1\/3, to the nearest integer?\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3006 + 5280. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7313, -28277, -63223, -112157, -175085, -252013, -342947, -447893?\n\"Answer: -r**3 - 6985*r**2 - 2*r - 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 - 24*m + 3. Let g be z(12). Suppose -f - 2*x + 13 = 0, g*f + x = f + 11. Suppose -f*k + 102 = -531. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 5. Suppose 4*m = 8*m + y, 4*m = -4*v + 44. Solve -4*w + 2*p = 3*p - v, -2*p - 6 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17*d**2 - 3903555*d + 75276261 wrt d?\nAnswer: 34*d - 3903555","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20444, -40601, -60736, -80849, -100940, -121009?\nAnswer: -141056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 154717809 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8615012 is divided by 410236?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -31*g**2 - 190*g - 935. Calculate v(-5).\nAnswer: -760","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/(-20)*1*-20. Suppose 0 = 4*j - f. Suppose 4*b - d - 2*d = -17, 12 = j*d. What is the smallest value in b, 3\/4, -0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76 - (34 - 10 - (52 + -7))\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s. Let t(g) = 5*g**2 - 64*g - 11. Let y be t(13). Let h(f) = 2*f - 2724 + 2724 + 14*f**y. Calculate h(z(j)).\nAnswer: 14*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 7:48 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.1 - -0.1. Suppose -10*f = 7*f + 476. Let l be ((-21)\/f)\/((-5)\/(-10)*-6). Which is the biggest value? (a) l (b) -1\/2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409 is divided by 53.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 4*s - 4*i, -4*i + 70 - 74 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -2.5. Let h = 772 - 775. Which is the third biggest value? (a) l (b) h (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a centimeter in micrometers?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n**2 + n**2 - 6*n**2)*((2*n - n - 2*n)*(1 + 0 - 5) + n + 4 - 4 + 0*n - 4*n - 7*n) as c*n + v*n**2 + j + i*n**3 and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 15) + -15 + -3\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + (3 - 2)*-1. Suppose 0 = g + u, 0 = 5*g + 3*u + 1 - 7. Let s(l) = -5*l - 1 + g*l - t*l. What is s(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 + 23. Suppose -6*i = -c*i - 333. Suppose -3*r + 7 = 5*t - 122, -41 = -r - t. Calculate the remainder when i is divided by r.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 13*g = 462. Calculate the greatest common factor of 33 and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3 + -4 + (0 + sqrt(637)*-2)**2 + 2.\nAnswer: 2546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-13)*(o**(1\/7)\/o)\/o)\/(o**(-2\/7))**(-1\/45) assuming o is positive.\nAnswer: o**(-4682\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-34)\/30 - -1 - (-14 + (-7608)\/360). Solve -b*d = -26*d - 27 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1 + sqrt(2) - sqrt(2))*5 + 5 + 3 + -4.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 164 (base 10) to base 2.\nAnswer: 10100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 13*v. Let l(i) = 49*i - 18. What is l(f(x))?\nAnswer: 637*x - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 37*z + 31*z - 78*z + 206*z + 336. What is the tens digit of l(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003279 rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 3*d = -15, -2*u - 7242*d = -7240*d - 8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 319.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -4*r - 4, 0*t = -4*t + 2*r + 30. Let d be 0\/(-2) + t\/2. Suppose -d*n + 17 + 9 = 3*i, 0 = 5*n + 5*i - 35. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssstwssssssssssssss. Give prob of sequence tws.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6156 is divided by 101?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 442 - 422. Solve 4*k - 3 = z - 4, 5*z = -5*k - l for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -5*q**2 - 5*q - 6. Let b(n) = n**2 - n - 1. What is 5*b(v) - c(v)?\nAnswer: 10*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.4 + -1.4. Let g = -26.5 - -3.5. Let b = g + 22.8. What is the nearest to 1\/4 in a, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94485, 95322, 96167, 97026, 97905, 98810?\nAnswer: 99747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -26161908, -52323818, -78485728?\n\"Answer: -26161910*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2666253 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*k - 4*k - 2*k**4 + 8*k**4 wrt k.\nAnswer: 72*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4294 + -4246. Let g be 2 - (-6)\/4*30. Does g = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 p when two letters picked without replacement from luuleypuuuuuuapuuu?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1641\/3282*16*5\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -37\/156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -265591789 and -265591789 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 65?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 1. Let h be 0*(-3 + 7\/2). Calculate q(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*n + 7*n + 8*n - 22*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42 + 42.027. Let o = 69.973 + i. Let p = -69.9999804 + o. Round p to six decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 13*c**2 + 14*c - 25. Let h(j) = -j**3 + 6*j**2 + 10*j - 9. Let i be h(7). Let d be x(i). Does 31 divide (3 + -1)\/(d\/2) + 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13590156444 - 13590156444 + 2*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 5355.89901 microseconds?\nAnswer: 0.000000008855653125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-39)\/(-2) - 24\/16. Calculate the greatest common factor of 36 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/23)\/t)\/t*t\/(t**14*t)*t**(-2\/11)\/((t\/(t*t**(2\/45)))\/t) assuming t is positive.\nAnswer: t**(-171349\/11385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -h**5\/150 - h**4\/10 - h**3\/3 - 13*h**2 - 14*h. Let w(b) be the first derivative of o(b). Factor w(l).\nAnswer: -2*(l + 1)*(l + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2509*o**3 - 2*o**2 - 36*o - 36. Let d be c(-1). Calculate the greatest common divisor of d and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -6*r**3 + 19*r**2 + 73*r + 21. List the prime factors of v(-9).\nAnswer: 3, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2823 is divided by 310.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 770 - 765. Let m(x) = -2252*x + 2252*x - h*x**2. Let n(v) = -4*v**2 - 14. Let l(o) = -1. Let f(c) = -28*l(c) + 2*n(c). Calculate f(m(u)).\nAnswer: -200*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 28. Let r be k(-10). Suppose n - 20 = -6. Suppose -11 = 3*o + 4*v - 30, 3*o - n = v. Solve -r = o*g + 3*t, 9*g - 4*t + 11 = 4*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 10*q**2 - 11*q - 10. Let a = 884 - 893. Calculate r(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -600*x**2. Let h(s) = 12*s**2 + 246*s + 5. Give h(k(f)).\nAnswer: 4320000*f**4 - 147600*f**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -6 - (6 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5*j**3 + 26*j**2 - 33*j + 1. Let z(h) = 11*h**3 + 51*h**2 - 53*h + 1. Calculate -5*x(q) + 3*z(q).\nAnswer: 8*q**3 + 23*q**2 + 6*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 + (-864)\/(-84) + -59.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -74, -379, -684?\n\"Answer: -305*v + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*k = -18*k - 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 + 13 + 0 + -15?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159002547?\nAnswer: 3, 11, 17, 151, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/3, -0.0671, -0.07, -31.\nAnswer: -31, -2\/3, -0.07, -0.0671, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.5 (b) 3 (c) 2 (d) 0.16 (e) -47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -s**7\/2520 - s**5\/24 + 2*s**4\/3 - 8*s. Let p(f) be the third derivative of k(f). Find the first derivative of p(j) wrt j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*w**5\/5 - 346*w**4\/5 + 116*w**3\/5.\nAnswer: -2*w**3*(w + 58)*(3*w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express f**2 - 6*f**2 - 6*f**2 + (f + 0*f + 3*f)*(-22*f + 13 - 13) as a*f + d*f**2 + y and give d.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -212901 + 212971. Let y = -181\/77 - -27778\/385. Which is greater: y or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -9865?\nAnswer: 9860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 35 = -16*s + 13*s, -4*s + 45 = 5*y. Which is the second biggest value? (a) -1 (b) -2\/13 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42202464 (base 7) to base 3\nAnswer: -20201001220110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -388284 + -4?\nAnswer: -388288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1651092 and 3714957?\nAnswer: 14859828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 10:15 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 + -26 + 54 + (-5 + (16 - 3) - 11)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 45638 (b) -5 (c) 918\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-10)*-6*65\/78.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 17*p - 282 = 0. Calculate the remainder when 147 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 0 + -202*1\/(-2). Suppose 2*m = -5*p + a, -m - m + 73 = -5*p. Let q(b) = 3*b - 9. Calculate the remainder when m is divided by q(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-77512*f + 0*f**2 - 5*f**2 + 77506*f + 3)*(16 - 29 + 21).\nAnswer: -40*f**2 - 48*f + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 208*b - 10331 + 10331 + (-4 - 4 + 7)*(b + 3*b - 5*b) to the form m + x*b and give x.\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 317298?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 1. Let n(i) = -10*i**2 + 15*i**2 + 134666*i**3 - 8*i**2 - 134651*i**3 + 1. Determine b(u) + n(u).\nAnswer: 14*u**3 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -n**2\/2 - 4*n - 5. Suppose -7 = -3*q + 2*q. Let r(g) = 2*g + 7. Calculate q*d(t) + 4*r(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(-1\/8)*q)\/(q*(q**4\/q)\/q))\/(q**(-2\/7)*((q*q*q**(-3\/7)\/q)\/q*q*q)\/q))**(-2\/167) assuming q is positive.\nAnswer: q**(65\/4676)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.5 - -4.7. Let y = m + -8. Let n = -3.2 + y. Which is the closest to 0? (a) 5 (b) n (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189701846 to the power of 1\/4, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -3*c - s + 18, 0 = 4*c - s - 9. Let p(l) = l**3 - 6*l**2 - 5 - 5 + c - 6*l. Let j be p(7). Solve 25 = -5*r - 2*t - 2*t, 5*r + 5*t + 30 = j for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160676 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -0*t. Let z be (406\/(-28) + 15)*-7. What is the nearest to z in t, -1\/5, 4\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28770 = 196*r + 763*r for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113743306?\nAnswer: 2, 56871653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + v + 1. Let t be q(2). Put -5, 4, -4, t in descending order.\nAnswer: 4, t, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 57? (a) -31 (b) 453 (c) 3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 0.5, 1\/9, -5.1, 1\/5?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 + 0. Let g = m + 38.9935. Round g to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1997 - 1097. Does 45 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 13. Suppose 0 = -u - h + 2, -3*z - 4*u + 61 = 0. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i - 14*i + 12*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/147 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from efuffyfeyefu. Give prob of picking 2 y.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 divided by -1?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/130019?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55 + 499\/9. Put 2\/39, x, -3 in descending order.\nAnswer: x, 2\/39, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*h**3*l**5 - 2*h**3*l**2 - 9*h*l**2 + 12*l**5 wrt l?\nAnswer: 780*h**3*l**2 + 720*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + t + 39 = 17, -24 = -4*q + 2*t. Suppose 3*w + 14 = -4*k + 52, k - q = 0. Solve 2*n - w = -0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1423, 3136, 4849?\n\"Answer: 1713*h - 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -52238 or 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (28 - 27) + (-9 - 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 5*b**2 + 7*b - 2. Determine l(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z - 12*z + 24 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 201\/134*-3*-1*18. Suppose -2*x = -5*a + 96, 5*a + x - 6 - y = 0. Solve 5*h + a = r, -r = 3*r + 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470164433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 3*t**2 - 13*t - 79. Let p be a(5). Solve -p*z + 86 = -13*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wi when two letters picked without replacement from iiiwpiiiipiwi.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6598, -13202, -19806, -26410, -33014?\nAnswer: -39618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/12)\/(10\/60). Let w be k\/14 - ((-1380)\/(-140) + -18). Let l = -167 + 255. What is the greatest common divisor of l and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2396.98 rounded to the nearest ten?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 335281, 335297, 335315, 335329, 335333, 335321?\n\"Answer: -y**3 + 7*y**2 + 2*y + 335273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a hour in seconds?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 595873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 + 2*k + 1. Let q be f(2). Let b = 10\/69 + -1097\/6141. Let c = -243\/712 + b. What is the smallest value in c, q, -0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3817554 to the power of 1\/2, to the nearest integer?\nAnswer: 1954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c\/(c*c**(-1\/6)*c)*c)*c*c)\/(c**(-3)\/c)*(c**0\/c)\/c**(-2\/23) assuming c is positive.\nAnswer: c**(679\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 5*d**2 + 740*d - 3685. Calculate b(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*-9*48\/(-9). Let o = q - -134. Suppose -3*z - o = -z. What is the common denominator of -1\/10 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -47122 in -0.5, 0.4, 5, 4\/7, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from yeyccyceycyyeeey?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.08 and 16905.\nAnswer: -1352.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 704*o**2 - 7*o - 13. Let p(v) = 235*v**2 - 2*v - 4. Determine 7*p(a) - 2*w(a).\nAnswer: 237*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and -0.920370974.\nAnswer: -0.920370974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 700\/40*(-5 + 7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -122 (b) -2 (c) -0.138\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9076168, 9076165, 9076162?\n\"Answer: -3*b + 9076171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 545858025337.8 - 2.\nAnswer: 545858025335.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8747\/364 + 298\/13. Calculate the common denominator of -17\/8 and i.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from viiviiiijjvjijvi. Give prob of sequence viii.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.9048117 to 3 decimal places.\nAnswer: -1.905","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1639907*z = -1639766*z - 5781 for z.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 6*z + 1. Let f be 15*1*(-12)\/(-30). Determine x(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*z**3 - 192810178*z**2 + 357459283765696*z - 27496866841088 = 0 for z.\nAnswer: 1\/13, 3707888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 10*i - 52640. Let b be 1\/(-3) + 1 + i\/24. Round b to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*t + 33, -q = -2*q - 1. Suppose 0*v = t*v - 2952. Round v to the nearest 10.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**3 - 12*v**2 + 11*v. Let k be n(5). Suppose m + 19 = k*y, 5*y + 8*m - 4*m = 24. What is the closest to -58 in -2, 1, y, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 272*b**5*m - 2*b**4*m + 2*b**3*m + 8*b**2 + b*m - 8*b wrt b.\nAnswer: 16320*b**2*m - 48*b*m + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -247505950 divided by 28046?\nAnswer: -8825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 8 = -4*c. What is the smallest common multiple of 102 and c?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqkehr. What is prob of sequence eh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**4\/13 + 158*z**3\/13 - 852*z**2\/13 - 1008*z\/13 = 0.\nAnswer: -84, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 86*i + 21. Let h(u) = -1030*u. Calculate h(f(c)).\nAnswer: -88580*c - 21630","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 76000 = -5*p. Suppose 0 = x + p + 4000. What is x rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 1 + -7 - (-305 + 290)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f. Calculate o(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9382224921361\/31255 + 300183168. Let o = k - 25\/329. Let h = o + 4561\/380. Calculate the common denominator of -7\/6 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1451 + 1314.2. Let v = l + 192. Let h = v - 55. Which is the biggest value? (a) -8 (b) h (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1*(0 + sqrt(288) + sqrt(288) - sqrt(288)))**2 + sqrt(288)) - (-2 + (sqrt(288) + -1)**2*-2).\nAnswer: 12*sqrt(2) + 2020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fkfkkkfiffkfikfk. Give prob of picking 4 k.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/10 + 57\/15. Let p = 1545 + -1532. Solve 3*g + o*u + p = 6*u, 3*g = -4*u - 19 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 153 + -151.97. Let l = s - 0.03. Let w = 25 - 26. Which is smaller: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78434, 78436, 78438, 78440?\nAnswer: 78442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - 5. Let q be (2\/5)\/(u\/(-120)). Suppose 2*k - x - 3 = 32, k - 3*x - 30 = 0. Solve 0 = q*v + v + k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 519 and 3?\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-216)*-2*36\/(-32)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -43*i**5\/5 - i**4\/6 + 19*i**2 + 537*i. What is the third derivative of h(k) wrt k?\nAnswer: -1032","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 82 = 4*r, 3*r - 65 = -3*v + 2*v. What is the units digit of 17\/3 - 14\/r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 31*s - 26*s - 30, 4*p = -3*s + 20. Let k(q) = 69*q**p - 54*q**2 - 16*q**2 - 1 + q. Let b(w) = -2*w + 3. What is b(y) + 3*k(y)?\nAnswer: -3*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 5*i - 3. Let d(q) = 6*q + 1. Let g be d(-1). Let v be r(g). What are the prime factors of -6*v*4\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2630*g + 104159. Calculate j(39).\nAnswer: 1589","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 277863, 555688, 833513?\nAnswer: 1111338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1 (b) -0.5 (c) 7 (d) -11.34 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2. Let m be (130\/3)\/1*(-78)\/(-65). Let k(d) = m*d + 29299 - 29299. Determine k(s(i)).\nAnswer: -52*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zsfdzzzdfifs. Give prob of picking 2 d, 1 i, and 1 z.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10215\/17 - 601. What is the third biggest value in 78, r, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - h + 0 = -11, 2*n - 10 = -2*h. Solve -3*u = 3*c + c - 4, 2*c = n*u - 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ih when two letters picked without replacement from {h: 15, i: 4}.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 0.042 (b) 5 (c) 0.4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1299 - -2354. What is the hundreds digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 0.4 (c) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 5*q + 3. Let s be y(3). Let n(r) = -2*r**2 - 2*r + 2. Let o be n(s). Let l be o\/(-4)*4\/20. Sort 4\/5, l, -2.\nAnswer: -2, l, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 9*d + 8. Let s be m(6). Let r be (-14)\/(-5) + (-2)\/s. Let g(k) = k**2 + 4*k + 3. Let t be g(-4). Solve 2*v + t = -v, 13 = -r*b - v for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -999 - -994.09. Let u = 5 + v. Let f = -0.49 + u. Sort f, -5, -2 in descending order.\nAnswer: f, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 2\/(-15) + (10 - 7)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330 + 302 = -8*f. Let t = -63 - f. Calculate the remainder when t is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**3\/6 + 56426*z**2\/3 + 38957005*z\/6 + 561198679 = 0.\nAnswer: -112506, -173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from eeeweeeeew.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6\/11, -5, 0.4, -16\/13.\nAnswer: -5, -2, -16\/13, 0.4, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 12:44 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 0.012, -22, 0, 3 in ascending order.\nAnswer: -22, 0, 0.012, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126743, -127112, -127481?\nAnswer: -127850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 68498.62.\nAnswer: 68495.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6068*u + 4*t - 15 = 6069*u, -2 + 16 = -4*u + 3*t - 7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 12:00 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4 = -4*o. Let c(q) = q**3 + 14*q**2 - 17*q - 28. Let w be c(-15). Let u(a) = 30*a - a**2 + 4 - 18*a - w - 14*a. What is u(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 150687 (c) 1\/3 (d) -4\/5 (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*u**2 + 5*u**2 - 3*u**2)*(5*u - 2*u - 5*u + 6) as k*u**3 + l*u + m + s*u**2 and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 36.088 and 0.372.\nAnswer: 36.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 9*t**2 + 8*t + 21. Is l(6) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, -11\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -5*f - 2*l, -5*l = -2*f - 0*f - 5. Let z = f - 5. Solve -u + r - 6*r + 17 = z, -3*u = 2*r + 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1133 and 412?\nAnswer: 4532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -623 and 0.24.\nAnswer: -149.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 28 = 3*q, 5*q - 2*p - 60 + 12 = 0. Suppose 3*j = j + q. Put -2, j, 0 in ascending order.\nAnswer: -2, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 317132 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -158036 or 51?\nAnswer: -158036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 292131.00661 + -291752.006610675. Let l = 379 - s. What is l rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-84)\/(-21) + 1 + -9. Let h = 96 + k. Calculate the remainder when h is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6189 equal to 6191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 91. Suppose 600 = 16*h + 4*h. Let x = t - h. Does 19 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9\/29, 0.1, -9, 0.05?\nAnswer: -9\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -92484 divided by 1468\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w**3 - 3*w**2 + 4*w - 2. Let t be p(1). Suppose -4*x - 56 = 28. Let o = -87\/4 - x. What is the closest to 2 in t, 4\/5, o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 729534 is divided by 630.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-22)\/(-44) - ((-3)\/2 - -1). Let f be 2 + 2 + (-4 - (0 - z)). Is f at least 4\/63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.02 + 10.02. Let y = t + -11.7. Round y to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -2 (c) -1.4 (d) 229 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23579407, 47158816, 70738225, 94317634?\nAnswer: 117897043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.5 - 5. Let t = o - -0.4. Which is the nearest to -1\/3? (a) 0.1 (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404*u + 450 = -952*u + 311*u + 387*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(132)\/((sqrt(12)*-2 + sqrt(12))*-3)*-1)**2 - (4 + (sqrt(539) + -1*sqrt(539) + 5 + sqrt(539) - sqrt(539)))**2).\nAnswer: -763\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = -k + 2*a, k + a - 674 = 6*k. Let c = k + 210. What is the remainder when c is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233110 = -3*u - 5*r, r - 161944 - 148875 = -4*u. Suppose l + u = k, 16101 + 294714 = -4*l + 3*k. Round l to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 30*o**2 - 38*o - 47. Is f(-26) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3406*-58\nAnswer: -197548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 3*i**2 + 4*i. Let k be c(4). Let m(g) = g - g**2 - 5*g + 6*g. Let w be m(2). Solve k = -3*f - w*f + 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63127.\nAnswer: 63127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (0 - 4) + -4 - (-3 + (6 - 11))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 9*n - 8. Let m be f(7). Suppose -4*t - 16 = -4, -m = -u - t. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 1152?\nAnswer: 12672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, s: 6, c: 5}. Give prob of sequence cj.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - ((6 - 10) + -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17642277 divided by 9.\nAnswer: 1960253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 8*u**2 - 6*u + 12. Let a = -3 - 4. Let r be h(a). Solve 39 = r*t + 5*i - 1, 2*t - 22 = -4*i for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -8*z - 9. Let d be u(-4). Suppose 0 = -j + d - 21. Suppose a = -x + 4*x - 12, -2*a = -j*x + 4. Solve -2*r + x = -r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1840 and 8.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11236.7 + 11237. Suppose 0 = -4*r + 1 + 19. Let g = -12.13 + 12. Which is the second smallest value? (a) r (b) k (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 290 divide 297254060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -11. Let j be -2 + 1\/((-1)\/(-3)). Sort -2\/5, j, n in increasing order.\nAnswer: n, -2\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-6) + 72562\/(-5964).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60510 is divided by 20105.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 62, 196, 372, 590?\n\"Answer: 21*z**2 + 71*z - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**2 - o. Let m be c(-1). Suppose -y = -m*y + 66. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -666 divided by -824?\nAnswer: 333\/412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m. Let y(p) = -57*p - 240. Let j(t) = -43*t - 238. Let l(i) = 4*j(i) - 3*y(i). Determine l(f(r)).\nAnswer: -2*r - 232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 2106 + 834. Suppose -5*p + m = r + 36, -3*p - 5*r + 340 = 0. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 1\/1074, 1\/80, -1\/6 in ascending order.\nAnswer: -0.4, -1\/6, 1\/1074, 1\/80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 12:03 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and 0.11.\nAnswer: 0.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 17*r - 67. What is q(8)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -86?\nAnswer: 7\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0 + 11 = 0. Suppose 3*c + k - 1678 = 0, -4*k = -x*c + 10*c + 555. Does 67 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 34, 332, -7 in increasing order.\nAnswer: -7, -3, 34, 332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 - 0.35. Let v = 0.3000032 + y. What is v rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-32)*(-16)\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g\/(g\/(g\/(g\/((g\/(g*g*g\/(g**(16\/9)\/g))*g)\/g))))))**38\/(g**(8\/17))**(-50) assuming g is positive.\nAnswer: g**(22334\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m + 6*m**2 + 2*m - 9*m**2 - 9*m**3 + 3*m**2.\nAnswer: -9*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = 5*w + 5*y, 31 = -3*w - 5*y - 24. Let c = 53 + w. Suppose -4*g - 5*k = -70, -3*g + k + c = -g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -55001*j - 10. Let g(v) = -v**3 - 8*v**2 + 11*v + 8. Let x be g(-9). Let b be c(x). What is b rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69673, 140677, 211681, 282685, 353689, 424693?\nAnswer: 495697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83426\/(-2323) + (16\/276)\/((-12)\/18).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 14*f**2 - 3*f - 1. Suppose -76 = 3*s + s. Let x = 32 + s. Is l(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 358*n + 356. Calculate v(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 1265*j + 21604. Calculate z(-17).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/((-1)\/((-14)\/(-4))). Round l to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/2)\/((-1)\/(-2)). Let n(f) = f**2 - 4*f - 5. Let m be n(5). Let b(t) = m*t + t + 2*t - 2*t. Determine b(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.011 or 2080916\/7?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a kilometer in meters?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -7. Let s(x) = 38*x + 0*x**2 - 38*x + 4*x**f. Let u(k) = 2*k. Calculate s(u(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*m - 8. Put m, -4, 5 in decreasing order.\nAnswer: 5, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z + 0*z + 5*z - z**2 + 2*z**2. Let i(x) = x**2 + 4*x. What is -5*i(y) + 2*t(y)?\nAnswer: -3*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 4*i + 71. Determine o(0).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 0. Let y = -58 + 65. Suppose -9 = -10*j + y*j. Which is the closest to h? (a) -2 (b) 0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 201 (base 6) to base 2\nAnswer: 1001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4\/3 - 32242*y**3\/3 + 355146*y**2 - 11725142*y\/3 + 43001948\/3 = 0. What is y?\nAnswer: -16154, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 18*c**3 + 5*c**3 + 5 - 29*c**3.\nAnswer: -6*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 10:07 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -36.6 >= 900685?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6095 or 6096?\nAnswer: 6095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 19*g - 22. Let p be m(20). Let l be 12\/(-54) - p\/9. Suppose 0*c + c = 0. Solve c = -2*w - l*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -110 by -55.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 72748?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -1. Suppose -4*u + 10 = -22. Suppose o - 2 = -u. Let p(d) = -d - 4. Calculate o*j(h) + p(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -61572, -61568, -61564, -61560?\n\"Answer: 4*h - 61576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, 9, 126, 349, 702, 1209, 1894, 2781?\nAnswer: 3894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -4485.61 to the nearest ten.\nAnswer: -4490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.48 + -0.06. Let h = -0.32 + x. Let d = 2.5 - 2. Which is the closest to 1? (a) -1\/2 (b) d (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 4*q**4 - 88*q**3 - 3568*q**2 - 25256*q - 21780 = 0.\nAnswer: -11, -1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 57413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zrr when three letters picked without replacement from zggrrgpgrzppz?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29154 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = 21 - 75. Suppose -4*r = 2*f - 16, -2*r = -h*f + 3*f - 8. Solve 4*o - 2*o + 6 = f for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 divided by -47?\nAnswer: 104\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/((-6)\/200) + -20*(-8)\/40. Put c, 3, -1, -3 in descending order.\nAnswer: c, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100808 = -4*o + 4*h - 6*h, -3*h + 126013 = 5*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*g, 50 - 56 = 4*l - 6*g for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 0*i - 5*i + i. Let x(n) be the first derivative of -n**4\/12 + 18*n + 10. Let q(h) be the first derivative of x(h). Give f(q(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 0.0239734\nAnswer: -0.0239734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2384 + 11918\/5. What is the nearest to -2\/5 in 1\/2, -11, x, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 371*i**2 + 649*i + 240780. Determine d(-371).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 176 - 104. Let f be 16\/x + (-58)\/18. Put -0.3, f, -4 in descending order.\nAnswer: -0.3, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 8\/3, 4, 0.027 in increasing order.\nAnswer: -0.3, 0.027, 8\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 6553208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, -16, -0.038?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -210*u**3 + 5*u**2 + 5*u + 5. Let w(m) = 106*m**3 - 2*m**2 - 2*m - 2. Let z(t) = -5*w(t) - 2*y(t). Let s(k) = -5*k**3. What is -45*s(d) + 2*z(d)?\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103699.92*-4.\nAnswer: 414799.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43.999902 + 44. What is g rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 7:46 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 15739.6 centuries?\nAnswer: 1573.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*m - s, 5*s + 16 = 5*m + 2*s. Solve -i = 2*i + 9, -m*o - i - 13 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44.2 + -44. What is the nearest to w in -0.4, 4\/11, 5?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/3 - 3*g - 22\/3.\nAnswer: (g - 11)*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 10 = f + f, -3*f - 5*b = -2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -10. Let j be b\/(15\/(-4))*3. Suppose -v + 3*v - 4 = -z, -3*z = -j*v + 18. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*z, 0 = 3*n - 5*z + 330 - 322. Let a(f) be the first derivative of -16\/3*f**3 + 22*f**2 - f**n - 24*f + 7. Factor a(l).\nAnswer: -4*(l - 1)**2*(l + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124\/9*a + 14 - 2\/9*a**2 = 0 for a.\nAnswer: -1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (32\/10 - 2)*20. Suppose -h = s - 5*z, -4*s - 2*z + 13 = -s. Solve -s + 3 = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6111 and 9954?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22.2 + -22. What is the third smallest value in v, 0, -12?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**2 - 1. Suppose o - 2*l - 3 = 0, 6*l + 2 = -2*o + 2*l. Let w(v) = -5. Let p(g) = 6. Let s(t) = 4*p(t) + 5*w(t). Give o*m(b) - s(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 590*r - 428*r + 1962*r.\nAnswer: 2124*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7*((-285)\/342 + 1\/(-6))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 241, 1958, 6623, 15712, 30701, 53066, 84283?\nAnswer: 125828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: Suppose -4*j + 35 = -8*j - k, -15 = 3*j - 3*k. Let b(y) = -3*y**2 - 24*y - 2. What is b(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -461.641*-12\nAnswer: 5539.692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 3:46 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 4. Suppose n*d - 15 = -d. Suppose d + 13 = -2*m. Is m <= -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 341097032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.4 - 4.4. What is the second smallest value in 2, -0.8, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 8*y**2 + y - 7. Let u be (128\/12)\/(-4)*-3. Let b be w(u). Find the common denominator of b - 3\/(-36)*-83 and -29\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -9 + -9 + 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**3\/7 + 506068*f**2\/7 - 16002248844*f\/7 - 272184503652\/7 = 0. Calculate f.\nAnswer: -17, 63267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -65.67 - -65. Let n = -0.37 - i. Put n, 5.3, -0.4 in ascending order.\nAnswer: -0.4, n, 5.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*i + 295*i + 19 = 136*i - 4*p, 3*i - 57 = 31*p for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256*r + 24054 = 3830. Let c be (-77 + -2)*-1*4. Calculate the greatest common factor of r and c.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2423 is divided by 67.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-4 - -9)) + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -35 + -3 + 8 + (-24 - (-11 + -19))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/150590 and -31\/198505.\nAnswer: 4367110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/(-40)*(-1 - 4). Suppose 6*w - 48000 = i*w. What is w rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -7*t - 17 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a millimeter in micrometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 62010368603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37\/(-5 + 6 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/2 + (0 - -3). Let s = 2 - -3. Let w = s + -4.7. What is the third smallest value in 0.2, w, x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 4)*(-2*o**3 + 5*o**3 - o**3) - 5*o**3 + 4*o**3 - 2*o**3 + o**3 - 3*o**3 - 4*o**3 + (-o - 2*o**2 + o)*(2*o - o - 2*o) + 2*o**3 + o**3 - 2*o**3.\nAnswer: -10*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(1\/(-1))*-1. Let r be (z + (-1)\/2)*-8. Suppose 71*y = 69*y + 10. Solve 0 = -a + 5*p - 19, -1 = r*a + y*p - 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus 2.770637778?\nAnswer: 2.770637778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 346220?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327*s + 338*s = 0. Solve -4*q - x + 7 = s, -3*q - x + 18 = 4*x for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*c - 4*q, -5*c + 28 - 15 = 3*q. Solve 0 = -5*m + 2*y + 17, -m - 3 + 1 = c*y for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -14\/5, 3\/2, -2?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -75463 divided by -13\nAnswer: 75463\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h - 8. Calculate the least common multiple of r(-4) and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11070 to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*m**3 - 37*m**2 + 249 wrt m?\nAnswer: -9*m**2 - 74*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 292771.4mm to meters.\nAnswer: 292.7714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*j - 3*j - j)*(-15*j + 10*j + 4*j + 2).\nAnswer: -4*j**2 + 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -601 (base 9) to base 6.\nAnswer: -2131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -508.88 + 507.88. Let l = 86\/15 - 27\/5. Which is the closest to -5? (a) l (b) v (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32023\/7 - 4575. Let w = 9.5 + -12.5. Which is the nearest to f? (a) 2\/13 (b) -1 (c) w (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8826 - 12991.282.\nAnswer: -4165.282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11011100111101100100 (base 2) to base 10\nAnswer: -905060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**7\/24 + 9*n**6\/20 + 57*n**5\/40 - 77*n**4\/12 + 31*n**3\/8 + 27*n**2\/4 + 11089*n. Find h such that f(h) = 0.\nAnswer: -3, -2\/7, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -1.101094386?\nAnswer: 0.101094386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -30 + 1a7a?\nAnswer: 1a4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -27.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -8. Let v(s) = -s**3 + 5*s**2 + 6*s - 3. Let u be v(6). Sort u, j, 1 in ascending order.\nAnswer: j, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3\/5 + 31212*o**2\/5 + 11197440*o - 3897234000.\nAnswer: 4*(o - 297)*(o + 4050)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 421 + 398 - 9*b - 819 + 11*b - b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4432492939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2050951393 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4*l - 6, 3*g + 4*l = -l + 6. Let n = -0.1 + 0.5. Which is the nearest to 2\/7? (a) n (b) g (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 1. Let b(w) = 3*w**2 + 6*w + 5. Let p(r) = b(r) - 2*d(r). Let z be p(-5). Let n(a) = -a - z*a + 2*a. Let g(f) = f. Calculate g(n(l)).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1\/13, -0.3, 0 in descending order.\nAnswer: 0, -1\/13, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -414752*n**2 + 84*n + 206914*n**2 - 84*n + 207837*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 353.2446 meters?\nAnswer: 353244600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/3, 14\/5 in increasing order.\nAnswer: -3, 1\/3, 14\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 125952*a**5 + a**2 - 28145.\nAnswer: 7557120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -11, 1 in ascending order.\nAnswer: -11, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*u = 5*v - 2857, 3*v = 4*u + 8590. What is the thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/15)\/((-36)\/(-240)). Calculate the remainder when 623 + (-4)\/(-1) - (x + 8) is divided by 70.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ozrttmm. Give prob of picking 1 t, 1 o, and 1 z.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1080)\/(-132) - (-410250)\/(-6017)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8086 and 382841?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17.7 + -18. Let s = o + 1.4. Let j = -0.1 + s. Which is the nearest to j? (a) 0.2 (b) -4\/5 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261931135.\nAnswer: 5, 1531, 34217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - h**2 + h + 4. Let w be f(0). Let x(u) = 15*u - 3 + w - 2. What is the units digit of x(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237811213?\nAnswer: 809, 293957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -737 divided by 67\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from lljljlllllllllljjl.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2791124?\nAnswer: 2, 7, 83, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 275502*t. Let l(p) = -6*p. Calculate l(o(r)).\nAnswer: -1653012*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 286 and 1210404.\nAnswer: 13314444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2.45 * 530224\nAnswer: 1299048.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 y when two letters picked without replacement from vyvvvdvyddyvvvvvdvy.\nAnswer: 44\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99 and 22293084.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 564047 + 562221 - o**2 - 1124307.\nAnswer: -o**2 + 1961","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 50, 42, 24, -4?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (115\/45)\/(-23)*9. Suppose 4*t = -t + 5. Let z(n) = n**2 + 5*n - 3. Let o be z(-4). Put t, o, i in ascending order.\nAnswer: o, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*q. Let v be (q\/(-1))\/(0 - 2). Suppose 1 = -c - 5*y, v = -3*c + 4*y + 8 + 8. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -148 by 3.\nAnswer: -148\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {k: 10, o: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1298660, -1298638, -1298608, -1298576, -1298548?\n\"Answer: -j**3 + 10*j**2 - j - 1298668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 2*n + 2412. Suppose -n - 1598 = -4*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(121)\/(sqrt(11) + sqrt(11)*3) + 2 + (1 + sqrt(11))*3 + 6*sqrt(22)\/sqrt(2)).\nAnswer: -37*sqrt(11) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 5929.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -183.4 + 183. Let h = 7.83 + 0.17. Let j = h - 3. Sort j, p, -0.1.\nAnswer: p, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9724151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*a + 2724 = 9*n, -4*n - a = -2732. Let p be n\/54 + -7 - 5*1. Factor -p*u**3 + 0 + 2*u**2 - 4\/3*u.\nAnswer: -2*u*(u - 2)*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250*y**2 + 17*y**3 + 3*y - 134*y**2 - 116*y**2 - 5*y.\nAnswer: 17*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 5454?\nAnswer: 27270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*x + 20*x + 14*x - 62*x as n + p*x and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5*h + 145 = 0, -4*o + 4*h = -h - 115. List the prime factors of 5\/(-2)*(-1176)\/o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3bb892 (base 15) in base 7?\nAnswer: -33300122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/810 and -91\/324.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 67, 150, 291, 508, 819?\nAnswer: 1242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0.2, -3, 2\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 22.5. Let j = 7 + u. What is the closest to 1 in j, 1\/10, -3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1325.57741 rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 10:03 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(2\/21))\/(o**(8\/3)*o))\/(o**8)**5 assuming o is positive.\nAnswer: o**(-291\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5025*o**6 + 377820344*o**3 - 2419 - 377820344*o**3 + 2*o + o**2 wrt o.\nAnswer: 603000*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + m - x + 3 = 0, -x - 5 = -4*m. Let v(j) = j**3 - 11*j**2 - j + 10. Let c be v(11). Let l = m - c. Solve d + 0*d + 2 = -3*k, 4*d = l*k + 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 8:15 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 42?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**3 - 51380 + 51338 - s**3.\nAnswer: 3*s**3 - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(40)*-4)\/sqrt(5) + sqrt(8)))\/(1*sqrt(196) - sqrt(196) - 3*sqrt(12)\/sqrt(3)).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*3*(-4 + sqrt(396)*-5*1) + -5)**2 + 0.\nAnswer: 10440*sqrt(11) + 357241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4693 and 124849?\nAnswer: 30837703","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 7*b**2 - b - 15. Determine r(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.46296 millilitres in litres?\nAnswer: 0.07746296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1229.1 and -0.2?\nAnswer: 245.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 8*s**3 + s**2 + 16 - 5 + 91*s**4 - 55*s**4 - s as o + k*s**2 + q*s**3 + c*s**4 + y*s and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11720 + -23441\/2. Let l = -0.11 - -14.11. Let q = -15 + l. Which is the nearest to 2? (a) q (b) y (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 + -8*88\/176?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 448516*a + 4696088 wrt a.\nAnswer: 448516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -18, -3, 0.02, 40?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -93 - -116. Suppose -2*f - 8 = g*d - 25*d, -6 = 2*f - 4*d. Let t(i) = -4*i. Let x(l) = l - 1. Let y(n) = t(n) + 6*x(n). What is y(f)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-11 - (0 + 6 + -3 + -8)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3029 or 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 6:12 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvmvmvggvvg. Give prob of sequence vmv.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 555554 * 3.\nAnswer: 1666662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -35 (b) 0.15 (c) 3 (d) -5 (e) 4 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16386 + 16308. What is the fourth biggest value in -2\/19, u, 5, 2\/17?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33 - 51 - 4136\/(-231)) + 2474\/(-42)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1390, 9, 268, 4, 5 in increasing order.\nAnswer: 3, 4, 5, 9, 268, 1390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -1. Let c(r) = -9*r + 21. Let u(i) = c(i) - 5*j(i). Let k be u(-13). Calculate the highest common factor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -160211 divided by -47?\nAnswer: 160211\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -39494724.06 to the nearest one million.\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6636)\/632*(-32)\/1848.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q + 2*d - 2, -q = -237*d + 233*d + 9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 873110?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 285 + -274. Suppose 4560 = -3*i + c*i. List the prime factors of i.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -o**4\/14 + 184*o**3\/21 - 13*o**2 - 793. Factor b(w).\nAnswer: -2*w*(w - 91)*(w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16.2 - -16. Let v = k + 0.5. Round v to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.6 - -7. Let i = h - -3.1. What is the fourth biggest value in -2\/7, i, -0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12 and 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -246*y + 320*y + 444 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 5:08 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-2)*155\/31. Sort -3\/5, m, 3, 0.5 in descending order.\nAnswer: 3, 0.5, -3\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -163374583\/833 + 196128. What is the common denominator of c and 5\/343?\nAnswer: 5831","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dv when two letters picked without replacement from {d: 1, v: 17}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5 = -5. Solve -4*n + 3*n = -2*x - 7, 4*x - 5*n + 11 = d for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/13 (b) 2\/9 (c) 0.07 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 150924857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1926 divided by 61727.\nAnswer: -1926\/61727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 times 25?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6.280185 tonnes?\nAnswer: 6280185000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1209775099.\nAnswer: 13, 4817, 19319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -94 (c) -1\/2 (d) -453\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 42*l - 160, 5*d - 3*l + 986 = 964 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -134 - -54. Let t = 80.00051 + a. What is t rounded to 5 decimal places?\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, a: 5, f: 2, v: 1, u: 1}. Give prob of sequence afu.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 7*i**2 + 30*i - 12. Let v be 15\/(-4)*64*24\/576. Give a(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-852*t - 346*t - 74*t + 131*t)*(-31 + 31 + 3*t**2) in the form c*t**3 + r*t + b + z*t**2 and give c.\nAnswer: -3423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16.4 and -156.\nAnswer: -2558.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(304) + 0)**2 - sqrt(95)\/(sqrt(15)\/sqrt(3))*4.\nAnswer: -1824 - 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 191*i**4 + 181864*i**2*u + 17*i*u + 4459*i + 393*u wrt i.\nAnswer: 2292*i**2 + 363728*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 2 + 26 + (-4 - (-19 + -1)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + h - 34 = 0. Let x = h + -84\/5. Which is greater: x or -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**3 - 11374 + 125*g**2 + g - 239*g**2 - 1237 + 114*g**2.\nAnswer: -2*g**3 + g - 12611","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*o + 4 = 0. Let a = 32 + -30. Solve d + o = h, 2*d + 2*h + 28 = -a*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-155)\/124*8\/(-25)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in -1\/3, 0.17, -1100, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4604788057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*f + 378 = -100*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 176573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-6)*24\/1. Are -25 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 23, 231, 755, 1751, 3375, 5783?\n\"Answer: 26*i**3 + 2*i**2 + 20*i - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7 + 7)\/(1 - -1). Solve 3*o + 3 = -b*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**2*v**5 - k**2*v + 25*k**2 + 68*v**5 wrt v?\nAnswer: -20*k**2*v**3 + 1360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 382 = 2*y + 2*l - 413, 15*l + 140 = 5*y for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g + 4*x + 7, 0 = 3*g + x + 6 - 14 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 255.9 and -2.\nAnswer: -511.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-29)*i\/(i\/(i\/(i**40*i))))\/(i**(-44)*i**4*i) assuming i is positive.\nAnswer: i**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -33 (b) -8 (c) -7 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f**2 - 9*f + 7. Let p(s) = -6*s**2 - 13*s + 10. Calculate 7*c(t) - 5*p(t).\nAnswer: 2*t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n - 249*n**3 + 248*n**3 - 4*n.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in millimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**12\/(s**(-2)*s*s))**(18\/5) assuming s is positive.\nAnswer: s**(216\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/3125631 and 17\/21?\nAnswer: 21879417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3414709 > -3414709?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (59 - 59 - 10*g)*(844*g**3 + 3*g**2 - 3*g**2 - 893*g**3) to y*g**3 + c*g**4 + t + q*g**2 + z*g and give c.\nAnswer: 490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j**2 + 3*j**3 - 511 - 510 + 1025 in the form h*j + c*j**2 + q*j**3 + o and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence poo when three letters picked without replacement from {o: 2, p: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 172, 361, 574, 811?\nAnswer: 1072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.5 - -5. Suppose 0 = -2*v - 2*r - 18 + 200, 2*v - 3*r = 207. Let d be ((-1)\/(-7))\/(v\/168). Put s, d, -0.07 in decreasing order.\nAnswer: d, -0.07, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95284534.\nAnswer: 2, 47642267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4425\/1050)\/(-59))\/(-1)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -30*t - 144. Calculate c(-1).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 208\/(-528)*(-24)\/52?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2119761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -34 - (-4 + 36 + -39)) + -79?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a + 68. Let x(v) = 1149*v + 5 - 5 - 1164*v. Determine d(x(b)).\nAnswer: -30*b + 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.72 + 0.72. Which is the closest to u? (a) 0.4 (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12137)\/(-2519) - (-15)\/(-3) - ((-1578)\/(-33) - 3).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -14*o. Suppose 3*j + 7 + 4 = 5*b, 0 = -5*b + j + 17. Suppose -9*y = -b*y - 5. Determine t(y).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 908670199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-4)\/(-16)*-2)\/(1\/(-26)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + 5. Let q = -86 + 123. Calculate the remainder when q is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 2*p. Let a be (-16 + 20)\/((-4)\/(-49)). Let i(t) = -t**3 + 47*t**2 + 98*t + 18. Let n be i(a). Is n at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x - 93. Let l be o(15). Let h(d) = d**3 + 23*d**2 - 14*d - 25. Is h(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 464, 1386, 2776, 4640, 6984, 9814?\n\"Answer: y**3 + 228*y**2 + 231*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 3*l - 43, -l + 4 = 3*l. Let x be y\/4 + 7\/(21\/78). Suppose -2*a = 8, 0 = s + 3*s + 5*a - 12. Calculate the highest common divisor of x and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29\/3896 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 0.1, -59?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*x = 216 - 41 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-7)*s\/s**(2\/15)*s**(-7)*s*s**2*s*(s**(-4\/3)\/s**(-8\/5))\/(s\/(s*s**6)*((s\/((s\/(s*s**3*s*s))\/s))\/s)\/s*s) assuming s is positive.\nAnswer: s**(-133\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i - 4*u - 8, 3*i - 5*i + 3*u + 26 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29798559 to the power of 1\/4, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9920 and 256.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppmffpp. Give prob of picking 1 m and 2 p.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + i)*(9 + 5 - 5 + (6 - 22 + 26)*(1 + 4 - 4)) in the form u + o*i and give o.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 14*a - 50. Give w(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 9*i**2 - 11*i + 14. Let m be f(10). Suppose 0 = -10*y - m*y + 1218. Let b = y - 78. Solve 0 = 6*w - 9*w + b for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, p: 1, w: 1, n: 2}. What is prob of sequence cnw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (82\/(-41))\/(3\/(-9)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, r: 3, t: 1, l: 5, e: 3}. What is prob of picking 1 e, 1 w, and 1 l?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 556465559?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-15) + (-54)\/(-15). Let p(w) = 48*w + 9. Let k be p(l). Suppose -3*c + 0*c = -k. List the prime factors of c.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4256, -4233, -4212, -4193?\nAnswer: -4176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f + 1. Let j be l(-1). Let a(i) = 17*i - 1. Let g be a(1). Solve -j*y + y - g = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13, 16, 19?\n\"Answer: 3*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 7*t - 3. Let f be p(1). Let h be ((-2)\/4)\/(f\/(-152)). Let v = h + 45. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -35.3 and -421.\nAnswer: -456.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -5 - -7 - 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -880 less than 179785?\nAnswer: 180665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 j when two letters picked without replacement from jccjcjjjjjcjjjcj?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(17) - sqrt(68))**2*2*-3.\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 - 180 = -3*z - 4*o, -411 = -4*z + 5*o. What is the smallest common multiple of 36 and z?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**5\/13 - 36*k**4\/13 + 196*k**3\/13 - 288*k**2\/13 - 198*k\/13 + 324\/13 = 0.\nAnswer: -1, 1, 3, 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -94790\/6839 or -15?\nAnswer: -94790\/6839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 121 + 4845*s + 126 + 124 + 114 - 483 to o + l*s and give l.\nAnswer: 4845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 3*q**4 - 1314*q**3 + 141231*q**2 + 580788*q + 586092 = 0.\nAnswer: -2, 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 11) in base 3?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 493 and 667?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rs when two letters picked without replacement from rrsrrqqqqqqsr.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2736) + sqrt(2736))*-4 + -2)**2.\nAnswer: -192*sqrt(19) + 43780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/288 and -44\/45?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xcxcmuqaxuc. What is prob of picking 1 m, 1 u, and 2 c?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89328216 + -89319257.0059. Let i = j - 8961. Let s = 2 + i. Round s to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w + 4*w + w + 4*w - 3*w - 34 + 25 + (0 + 0 - 1)*(1 - 6 + 1)*(0 - 4 + 5)*(8*w - 9*w - 8*w) to v + u*w and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11200111 - 0?\nAnswer: -11200111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -917*c = -2992*c + 72625 for c.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -3. Suppose -2*c + 45 = d*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0419702468 minus -3800266?\nAnswer: 3800265.9580297532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78 + 12 + -11 + 7 - (17 - (1 + 3)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 4*k - 5. Let w(l) = -214 - 182 + 421 - 2*l. Let h be w(10). Calculate j(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388749597 to the power of 1\/4, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*x + 95*x - 44*x.\nAnswer: 41*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -720 - 2*h - 18*h**3 + 2824 - 9*h**3 with respect to h.\nAnswer: -81*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 124\/30 + (-70)\/525. Is (-6)\/c*7390\/(-45)*3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.919 - -0.081. Let q = 88 + -262\/3. Which is the third biggest value? (a) q (b) 1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4477528.\nAnswer: 2, 11, 17, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/9 - 1204*n**2\/9 - 179992*n\/9 + 364816\/9.\nAnswer: -2*(n - 2)*(n + 302)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19617 and 165.\nAnswer: 1078935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i**(6\/17)\/i)*i))\/i*i*i**(-1))\/(i**(2\/5))**(-16) assuming i is positive.\nAnswer: i**(319\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*j*n - 112454*j + 52*n**2 + 6*n wrt n?\nAnswer: -7*j + 104*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*1)\/((-5)\/((-25)\/(-2))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/820 and 17\/12650?\nAnswer: 1037300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 225\/4 (b) 5 (c) 3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -462, -1052, -1898, -3012, -4406, -6092, -8082?\nAnswer: -10388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115932, 231887, 347862, 463857?\nAnswer: 579872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (6 - (-3 - (-2 - -2)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 5*k - 80, k + 5*s = -0*k - 4. What is the remainder when 82 is divided by k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 41*p**2 - 161*p + 2. Let y be m(6). What is the greatest common factor of y and 1664?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*w**2 + 4*w**2 - 8*w**2 + (2*w**2 - w**2 - 2*w**2)*(4 - 2 - 1) - 2*w**2 + 3*w**2 + w**2.\nAnswer: -17*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/4 + 3\/(-6). Let o(d) = d - 6 + 5 - x - 6. Suppose -2*a + 15 = a. Determine o(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 72 or 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 4*y + 7. Let q be g(-5). Let k be q*19\/(-6)*-3. Solve 5*f = 2*a - k, f + a - 7 = 3*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19871858?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 420 and 22?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -176.34 - 3.66. Let q = m - -160. Sort 0.4, q, -1 in descending order.\nAnswer: 0.4, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-155)\/(-25))\/(2\/5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 - c**3 + 3*c**4 + (-6*c**3 + 2*c**3 + 3*c**3)*(46 - 46 + 18*c).\nAnswer: -15*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 5041000 to the nearest 100000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2499, 4993, 7487, 9981, 12475, 14969?\nAnswer: 17463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4 - 328*c + 330*c - c**2 - 3 + 11. Let s be t(-3). Put s, 4, 5, -1 in decreasing order.\nAnswer: 5, 4, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**3\/3 - 130292*y**2\/3 + 2864188*y\/3 + 3255100 = 0.\nAnswer: -3, 25, 32551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 12:02 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 91 = 15*h. Let -35*u + h*u**2 + 27*u - 7*u**4 + 10*u - 2*u**3 = 0. What is u?\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) + -4 + (-1*sqrt(320) - sqrt(320) - sqrt(5)).\nAnswer: -11*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1303 (base 7) to base 9\nAnswer: -607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 351, 356, 363, 372, 383, 396?\nAnswer: 411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -159.22385 + 0.11385. What is x rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 3091?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 4:18 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2049*n - 1734 - 47442 = 0 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -5\/2 (c) -193\/5 (d) -5 (e) -2\/21 (f) 2\/5 (g) 15\/4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.14938 - -16.14938. Is x < -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10347896793.99999509 + 10347895815. Let l = r - -979. Round l to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1704 - -1707. Solve -2\/3*g**d + 0 + 2\/9*g**2 + 0*g + 2\/3*g**5 - 2\/9*g**4 = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 27 = -2*z, 0 = z - 5*b + 51 - 75 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/11 + 183938*r**2\/11 + 4229240448*r\/11 + 4229056512\/11.\nAnswer: 2*(r + 1)*(r + 45984)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00047099663 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 13*f**2. Let i(o) = 8*o**2. Let x(r) = -23*r**2. Let d(c) = 17*i(c) + 6*x(c). What is d(m(q))?\nAnswer: -338*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1376 - 8.0676. Let s = 7.9 + k. What is the biggest value in -2\/3, s, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2. Let g be ((-4)\/(-3))\/(-1)*3. Let u(c) = -c + 1. Let y(v) = -6*v + 4. Let t(m) = g*u(m) + y(m). What is h(t(k))?\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9042359l to millilitres.\nAnswer: 904.2359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3241 (base 6) to base 5.\nAnswer: 10440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 9*b**2 + 11. Let k be a(-9). Which is smaller: 23\/2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 12:09 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 10:54 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -12*n. Let d(i) = -112*i - 117*i + 359*i - 111*i + 3. Determine o(d(x)).\nAnswer: -228*x - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7240.\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*c**3 - 109*c**2 + 109*c**2.\nAnswer: -14*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1202*s - f - 14 = 1199*s, 392 = -5*s - 28*f. Suppose -2\/15*u**5 + 2\/15*u**2 + 2\/5*u**4 - 2\/5*u**3 + 0 + s*u = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88\/(-234) + 2\/9\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4.311, 83, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.0446 + -3.044565408. What is o rounded to seven decimal places?\nAnswer: 0.0000346","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10 + 4*c**4 - 20*c**3 + 20*c - 77*c**2 + 89*c**2 - 26.\nAnswer: 4*(c - 4)*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, o: 1}. Give prob of sequence ggo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3343, -13368, -30077, -53470, -83547, -120308?\nAnswer: -163753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-8) + 164\/16. Calculate the highest common divisor of n and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7172071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + h**2 - 3*h**2)*(-2 + 4 - 1) - 6*h**2 - 6*h**2 + 8*h**2 + h**2 - h**2 - 2*h**2 + (-4*h + 2*h + h)*(-3*h + 4*h + 0*h) - 3 + 3 - h**2.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52\/26)\/((-16)\/2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 119373.78.\nAnswer: 238747.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 136, -452, 0.1, -0.1, -3\/5, -3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42422211?\nAnswer: 3, 13, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/12 and 13\/64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + h - 6. Let g(w) = 340*w**2 + 8*w - 52. Calculate 8*d(p) - g(p).\nAnswer: -332*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9817 or -9825?\nAnswer: -9825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11018830.8686 take away -1?\nAnswer: -11018829.8686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1691098132.\nAnswer: 2, 229, 1846177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y - 5*s = -19*y - 50, y + 2*s = 23. Let c(f) = 15*f**3 + 1. Let m be c(1). Let t = m - 10. Solve 0 = -5*g - y*z, 3*z - t = g + 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o + 7. Let c = 25 + -31. Calculate g(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1825 - 1850 - 2*p - 981)*(p + 0*p - 3*p).\nAnswer: 4*p**2 + 2012*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1089280.\nAnswer: 2, 5, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -62*z**5 + 60211*z**4 + 323441848*z.\nAnswer: -1240*z**3 + 722532*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11732780\/9 or -1303642?\nAnswer: -1303642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**5\/3 + 658*b**4\/3 + 5397*b**3 + 73258*b**2\/3 - 128896*b\/3 + 12928 = 0. Calculate b.\nAnswer: -101, -24, -8, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 28 - -12 - -10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7624, 23172, 38720?\nAnswer: 54268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002172499 to 6 decimal places.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3 = -3*o, 0 = 3*y - 5*o - 5202. Suppose y = 4*m - 315. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34\/1223, 75, -1 in decreasing order.\nAnswer: 75, -34\/1223, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -2. Let q = f + 5. Suppose -q = 4*o - 33. Solve -20 = -c + o*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -721257922.3 rounded to the nearest ten thousand?\nAnswer: -721260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 4*z. Let y be w(-3). Suppose 0 = t + y*t - 1476. Calculate the smallest common multiple of 4 and t\/45 + 1\/(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -176 - -336. Suppose 4*j - o = -j. Does 8 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0036881 to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 8:45 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 5*f**2 + 3*f + 1. Let m be u(3). Let c = -4 - m. Is 2 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 446 by -123.\nAnswer: -446\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - m = -4*m - 78, 3*i + 2*m = 88. Suppose -5*r + 4*p = -6*r - 201, -684 = 4*r - 4*p. Let g = i - r. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -234079\/93 - -2517. Which is the third smallest value? (a) -5\/6 (b) 0.4 (c) -1\/5 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -5*i - 10. Let s(y) = 5*y - 43. Let h be s(i). Let -6 - 7*x - h*x - 2*x - 2*x**3 - 10*x**2 + 2*x = 0. What is x?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 - -14.8. Let j = -10 + f. Let q = -0.1 + -0.9. Which is the smallest value? (a) -0.2 (b) j (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56862227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of s**5\/25 - 2*s**3\/5 - 4*s**2\/5 - 3*s\/5 - 54. Suppose a(w) = 0. What is w?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*x + 48*x = 135. Calculate the greatest common factor of x and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-4)\/18 - (-435)\/1350). Find the second derivative of 27*f - r*f**4 - 6*f + 19*f**5 + 10*f**4 wrt f.\nAnswer: 380*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 522 (base 9) in base 3?\nAnswer: 120202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 take away 31681120?\nAnswer: -31681120.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 125, 2\/25, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 7*i**3 + i**2 - i. Let v be b(1). Let u be 2\/v - (-52)\/14. Let r be (44\/12)\/((-2)\/(-24)). What is the greatest common factor of u and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/(-24))\/(12*(-12)\/(-432))?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -203759.59 times -4?\nAnswer: 815038.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of p**5\/60 + 11*p**4\/24 - p**3\/3 - 8*p**2 + 28*p. What is b(-13)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/2 + (-6)\/(-12)*10. Let h be 0 + -1 + 1 + 3. Solve -b*y + 5 = 5*n - 0, -4*n + h*y + 4 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 m when three letters picked without replacement from jxjmm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 117\/338 - (-2)\/13?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 156 = -6*l. Let u = l - 6. What is the lowest common multiple of 2 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -6*l. Let u(m) = m - 1. Let j = 1480 + -1479. Determine j*x(v) + 9*u(v).\nAnswer: 3*v - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 g when four letters picked without replacement from xgxhvxxhygg.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1509 and 24?\nAnswer: 12072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20843 = 3*f + x, 239*f + 27784 = 243*f - 2*x. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60247*d = -60142*d + 4725 for d.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 302 divide 133697212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2533 divided by 43.\nAnswer: -2533\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 2*s**2 + 4*s + 2. What is the units digit of w(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z - 6*z - 2*s - 770, -5*z + 3*s = -1911. What is the highest common factor of 1260 and z?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lnxnlxlnn. Give prob of sequence nl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 13. Which is smaller: 7 or l?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4004.\nAnswer: 2, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -11 (b) -3 (c) 62\/5 (d) -2 (e) 0.3 (f) 40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/552 and -29\/3544.\nAnswer: 244536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16254899, -65019606, -146294117, -260078432, -406372551, -585176474?\nAnswer: -796490201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*v**2 + 57*v**2 - 278*v**2 + 54 + 62*v**2 + 64*v**2 to the form y + l*v + j*v**2 and give j.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 414506473 a multiple of 538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12998 times -132?\nAnswer: 1715736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000164313011 rounded to six decimal places?\nAnswer: -0.000164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12020*h**6*y**3 - 24*h**4*y**3 - 2*h**2*y - 301*h**2 + 2*h*y**3 + 86*h*y wrt h.\nAnswer: 1442400*h**3*y**3 - 576*h*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -54, -44?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.108489805 rounded to 4 decimal places?\nAnswer: -0.1085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90)\/(-8)*636\/(-477).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, q: 2, j: 1, h: 2}. Give prob of picking 1 y and 1 j.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1860 - 3416 + p**2 + 1773.\nAnswer: p**2 + 217","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2973781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 14) in base 7?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {b: 2, h: 15, m: 3}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.11 - -0.01. Which is the third biggest value? (a) 12 (b) -5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/237*(312\/(-117) - -3).\nAnswer: -2\/237","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 7 - u**3 - 28 + 5*u**3.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11472445, 45889779, 103251993, 183559081, 286811037, 413007855?\nAnswer: 562149529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {h: 2, l: 2, v: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*j - 133, 4*t = j - 3*j + 242. Is 63 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3 + 3 + -5*(sqrt(162) + 0 + 2)*6 + 2)**2.\nAnswer: 28620*sqrt(2) + 148609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 61075 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*x**3 + 119*x - 5*x**3 - 2*x**3 + x**2 + 5*x**3 + 0*x**3 + 0*x**3 - 2*x - 2*x**3 + 2*x + (3 - 5 + 1)*(-3*x**3 + 4*x**3 + x**3).\nAnswer: 3*x**3 + x**2 + 119*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 205511858659 less than 0.9?\nAnswer: -205511858658.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -2\/3, 0.054, 2\/19?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11701*x**2 + 11689*x**2 - 23354*x**2.\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25140 + -25139.99989861. What is j rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 3 + (-12 + 15 - -10).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1) - (-2)\/(-3 + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 9:15 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 24*j**2. Let w(v) = -v**2. Let h(b) = 5*t(b) + 105*w(b). Let n(d) = -4 - 13 + 17 - 3*d**2. Determine n(h(q)).\nAnswer: -675*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ea0d - -38e?\nAnswer: -e67f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -15*s**2 - 545*s - 693. Calculate o(-35).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5329564*c**5 - 151336722*c.\nAnswer: -106591280*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1074135 by 5.\nAnswer: -214827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 451 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 200201 - 243?\nAnswer: 177736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12255654 to the power of 1\/2, to the nearest integer?\nAnswer: 3501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 135\/6*46\/115?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*1 + (-594)\/(-27). Suppose 3*s + t - h - 1 = 0, -4*s + 3*t + 41 = 0. Solve 3*r = r + s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4708949 and -30.\nAnswer: 141268470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - 9. Let t = -40 + 39.5. Put t, 0.1, w, -0.2 in descending order.\nAnswer: 0.1, -0.2, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 6, f: 12}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2350 - 7093 + 62*a**2 + 2354 + 2389.\nAnswer: 62*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.07004 + -0.07. What is q rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37044 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 k, and 1 z when three letters picked without replacement from {k: 2, z: 9, f: 5}.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 2*r**4 + (0*r + 2*r - 3*r)*(2*r - 3*r**3 - 2*r) + (-3*r**4 + 5*r**4 - 3*r**4)*(167 - 368 + 166).\nAnswer: 36*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5992*d**4 - 2473*d**2 - 1 wrt d?\nAnswer: -143808*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 24*c + 55. Is 7 a factor of l(-128)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z - 1. Let b(d) = -d**2 + 2*d - 15. Let j(q) = b(q) - 5*y(q). Let s be j(5). Solve 0 = -s*n + 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -k**6\/60 + k**3\/3 + k**2\/2 - 2. Let i(l) be the second derivative of p(l). Differentiate i(d) with respect to d.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 5) in base 13?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 41776 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5021 + 5348. Solve -9*k = -309 + v for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2837*d + 5545*d - 3131*d as c*d + j and give c.\nAnswer: -423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18724393*h - 213358005.\nAnswer: 18724393","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, -516, -24, -5, 1 in decreasing order.\nAnswer: 4, 1, -5, -6, -24, -516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -698 - 94*d - 1284*d**4 + 93*d + 3249 with respect to d.\nAnswer: -5136*d**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6549 and 333?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2605191 is divided by 1302453.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3260 = c - 5*c - 0*c + 3*h - 3245, -27 = 3*h for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 2:37 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 12*x**2 + 28*x + 190. Let y be h(-11). Which is the nearest to y? (a) 0.3 (b) 2\/7 (c) -2\/3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, s: 2, h: 4, v: 1, r: 7}. Give prob of picking 3 r and 1 g.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 6*y**2 - 9*y + 11. Give s(6).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*t**2 + 522*t**2 + 186*t**2.\nAnswer: 773*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, c: 5, r: 2, d: 1, l: 1, q: 1}. What is prob of picking 2 r and 1 o?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 50598 a multiple of 311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -m - 10, 5*m = 4*z + 8 - 3. What is the closest to 0.1 in -7, -0.1, -1\/3, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 616 a factor of 877467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 44532.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2992478, -2992483, -2992488, -2992493?\n\"Answer: -5*l - 2992473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -2*o. Suppose -2*j - 2 = o, m + j - 6 = -0*j. Suppose -4*p = -h - m, -5*p + 36 + 28 = 3*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 12 = p - 11, 19 = 2*p + 3*h. Suppose 13*z + 4 = p*z. Suppose 7 = m - i + 2*i, -5*m - z*i = -31. Solve -2*s - 2*x - 4 = 2, m*x + 9 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6564*d + 1 - 30213*d - 6105*d - 7690*d.\nAnswer: -37444*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(133)*-2 + sqrt(133))*1)\/((sqrt(700)*-3*-1 - sqrt(700)) + sqrt(700) - sqrt(700)).\nAnswer: -sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnnnnn. Give prob of picking 4 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33189 is divided by 86.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.29, 0.3, -7619, -4, 8 in increasing order.\nAnswer: -7619, -4, 0.3, 1.29, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - z**2 + 1 + (-z + z + 2*z)*(-z + 6*z - 2*z))*(35*z - 18*z - 16*z + 686).\nAnswer: 5*z**3 + 3430*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/18*-3*(-6)\/4\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**3 - 12479162*l**2\/13 - 2879808*l\/13 = 0. Calculate l.\nAnswer: -3\/13, 0, 479968","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -39*u**5\/4 - 163*u**3\/6 + 139*u. What is the second derivative of j(n) wrt n?\nAnswer: -1170*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6051.7 >= -787?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*d = -0*d, -4*s = -3*d. Suppose s*i + i - 6 = 0. What is the derivative of -2*f**2 + 9 - 2 - i wrt f?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 12. Let o be 76\/140 - (-4)\/(-10). Let j = 0.1 - 0. What is the second biggest value in o, j, q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -42114113134?\nAnswer: -42114113140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41\/13 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2907121097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 140, 1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 0*y - 2\/3*y**3 - 2 - 1\/2*y**4 + 0*y**2. Factor g(r).\nAnswer: -2*r**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5856462 to the nearest integer?\nAnswer: 2420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1096, -1101, -1108, -1117, -1128, -1141, -1156?\nAnswer: -1173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14 (b) -3940 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 (base 15) in base 12?\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 9:51 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b**3 - 18*b**2 + 5*b - 59. Is v(12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3748 - -7491. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*m + 517 + 395 = 229*m for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 81244114169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*f + 907 - 3305 + 870 = 11647 for f.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.4 and 0.00036?\nAnswer: -0.000504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 7*n + 5. Let q be p(7). Suppose -g = 3*g + 5*i - 7, 5*g = -q*i + 10. Suppose 2*b = g*b - 23. Is 23 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132 and 99132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 58*f + 30. Let j be s(-1). Let n be 50000\/(-3)*(397 + j). Round n to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -5430, -22.\nAnswer: -5430, -22, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2*b = 8. Is 33 - -5*b\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 1068*o**2 + 92913*o - 168. What is z(-87)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7075\/7 - -1011. Sort 10, l, -1.3, -4.\nAnswer: -4, -1.3, l, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ha when two letters picked without replacement from hphpahhaahahhhhaahah.\nAnswer: 77\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 220468 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 v when four letters picked without replacement from vvvvvqvqqv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35305 divided by 7061.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -189\/1108 + -22\/277. What is the nearest to n in 14.9, 1, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 213144 and 373002.\nAnswer: 1492008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-20) - (-34)\/170.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2321356?\nAnswer: 2, 580339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 699975 to the power of 1\/2, to the nearest integer?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 719 is divided by 6*((-18)\/(-12) - 0)*10.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 8 - 2 = 0. Let m be ((-12)\/5)\/((-140)\/(-350)). Is o smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 8*x - 3. Give n(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 42333345 - -2?\nAnswer: 42333347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23112336.\nAnswer: 2, 3, 13, 37039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - 5 - (-3 + -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 10:07 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10069575282707 and 0.4.\nAnswer: -10069575282706.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4632?\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3473*v - 16*v - 116*v**3 - 15002*v + 113*v**3.\nAnswer: -3*v**3 - 18491*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -38*d. Let l(a) be the third derivative of -25*a**4\/12 + 13*a**2 - 81*a. Determine l(b(j)).\nAnswer: 1900*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 w when four letters picked without replacement from {v: 3, n: 3, d: 1, i: 3, w: 2, r: 1}?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is c02 (base 15) in base 6?\nAnswer: 20302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v**5\/6 + 4733*v**4\/3 + 1752049*v**3\/6 + 5254724*v**2\/3 + 7564394*v\/3 + 1042568\/3 = 0. Calculate v.\nAnswer: -361, -4, -2, -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 230 and 139526372.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 6:32 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/(-44) - (4 + -3) and (-2)\/14 - (-3114)\/(-840).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13405 - -13407. Let y be 1\/((-4)\/((-16)\/(-30))). What is the smallest value in y, -1\/6, m, -0.1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5979918, -5979196, -5978472, -5977746, -5977018, -5976288?\nAnswer: -5975556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 133*-1867681\nAnswer: -248401573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (51 - (-28 + 48))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 25 + 38*c - 57 + 27*c + 25*c**2. What is the hundreds digit of r(27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -26, -4, 34, 88?\n\"Answer: 8*u**2 - 2*u - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 337.0168 years?\nAnswer: 33.70168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 1160*k**2. Let j(i) = 8*i**2. Calculate l(j(n)).\nAnswer: 74240*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6.102 and 0.04.\nAnswer: 6.142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 706153594 to the power of 1\/4, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {x: 13, d: 6}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8101863 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-3*j**3 + 3*j**3 + 2*j**3) + 15*j**3 + 2*j**2 - 51*j**3 - 49*j**3.\nAnswer: -83*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1476 = 7*a - 6*a - 3*c, c + 1468 = a. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 9)*(-1*(-5)\/10)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*j = 88 + 102. Sort -2\/7, j, 0.2, -0.2 in descending order.\nAnswer: j, 0.2, -0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -12*(-12 + 1267\/105)*(-30)\/8. Solve 0 = 63*l - 62*l + 4, 0 = 5*h - c*l - 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2961 by 3.\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/6*636\/(-2120)*1\/3.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*s + 3*s = -13*s + 546 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*b**4*m - 29*b**4 + b**3*m - 2*b**3 - 2*b**2 - 732*b*m - m wrt b?\nAnswer: 168*b*m - 696*b + 6*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1731711808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -136696 and -0.0453.\nAnswer: 6192.3288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/5? (a) -0.3 (b) -1\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1349 (b) -60\/13 (c) 3 (d) -0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in -2\/101, -6, -4\/7?\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - (-3 + -3)) + -4. Let m be (2 - z)\/(0 - -1). Suppose m*t = 7*t + 7. Do t and -2\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**2 - 5*h - 1. Calculate m(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 7*h - h**3 + 4*h - 16*h + 6*h + 1. Let s(c) be the second derivative of 7*c**5\/20 - c**3 - 3*c**2 - 3*c. What is -6*o(w) - s(w)?\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 16. Let u = -3 + 3. Suppose u*r = -4*r + 32. Solve 0 = 4*a - b*a + r for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 2. Suppose -5*k = -3*k. Let i be t(k). Solve -i*z - 4*d = -25 + 7, d = 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27401 + 66602. List the prime factors of o.\nAnswer: 3, 73, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -0.3 (b) 5 (c) 1 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33.20448 - 24.4616.\nAnswer: -57.66608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16241 - 2?\nAnswer: 16239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 10:55 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.100791 + 0.1017. What is m rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 20?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 310*(0 - 3\/(-6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-32) - 0)*(-110)\/(-165)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 13*s - 71. Determine g(-10).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -12*f + 0*f**2 - 5*f**2 + 14 - f**3 - 4*f**3 + 25*f + 4*f**3. Suppose 5*h + 0*p - p + 42 = 0, -4*p = -4*h - 40. Is d(h) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 2*x + 3. Let y be (17 + -34)\/(1 + -2). Suppose -8*t - u = -4*t - 18, 4*u = -5*t + y. Determine v(t).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291060 rounded to the nearest 1000?\nAnswer: 291000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(-36) + (-18)\/(-81)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 51\/4 of a gram?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/(sqrt(10)\/sqrt(5)) - (sqrt(2) - -1*sqrt(162)))**2 - ((4 + sqrt(128) - sqrt(128)) + sqrt(128) - sqrt(2904)\/sqrt(12))**2.\nAnswer: 24*sqrt(2) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 276391*o - 276424*o + 825 for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2280*b - 2. Suppose -2*p - a - 2 = 0, 20 = -3*a - 2*a. Let y be t(p). Let l be 2500\/(y\/760 - 3). Round l to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 246381?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*g + 127*g = -288. Find the third derivative of -4 - 74*q**3 + 12*q**5 + g*q**3 + 6*q**5 + 5 + 51*q**2 wrt q.\nAnswer: 1080*q**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103.304 rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*i + 5 - 5)*(0 - 1 - 1)*(-5 + 2 + 0) - 6*i + 90 - 158 + 38)*(2 - 1 - 3).\nAnswer: 48*i + 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(833) - (sqrt(833) + (sqrt(833) - sqrt(833)*2)))**2*2 - (3 + -2*sqrt(833) + sqrt(833))).\nAnswer: 14*sqrt(17) + 3326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**3\/5 - 463653*j**2\/5 + 927309*j\/5 - 92731 = 0. What is j?\nAnswer: -463655, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*t = -3, -2*t - 3 - 3 = 0. Let h be (-5 + 2)\/(z\/15). Put h, -10, -3 in descending order.\nAnswer: -3, h, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.042 minus -22574?\nAnswer: 22574.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = 5*d + 28. Let j(u) = u + 37. Let p be j(d). What is the greatest common divisor of 332 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = 51*b + 15*b. Solve -5*v + b*w = 2*w + 3, -2*w = 3*v - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7.4905123 and -1879?\nAnswer: 1886.4905123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 0. Let w be (-15)\/245*2\/6. Let p = -248\/147 - w. Sort r, 0.2, p in ascending order.\nAnswer: r, p, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 2352 = p. Let y = 501 + p. Does 22 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -92\/1305 and -11\/870.\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1267 - -2601. Calculate the remainder when l is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d - 1. Let j be 10\/40 + 37\/(-4). Let w be p(j). Let c = -4 - w. What is the remainder when 17 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8462\/11 + 770. Let t = -1658 - -3231\/2. Find the common denominator of f and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f - 4. Let r(h) = -4*h + h + 4*h + 4 - 3*h. Let s(o) = 5*r(o) + 4*u(o). Find the first derivative of s(a) wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/14 and 2\/16*-54*7\/1274.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*h + 2781 = -80227 - 84699. What is the thousands digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 k when two letters picked without replacement from {f: 1, k: 1, j: 11, l: 1, m: 1, s: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 2 + (-52 - -28) + 20.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v - 850 = -68. Let i(a) = -10*a - 9. Let p be i(-6). Calculate the highest common divisor of v and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0.1, -0.004?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -2\/13, -15387?\nAnswer: -15387","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by -3\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 10:24 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -331*i + 335*i - 1052 = 0. Let a = -820 + 826. What is the remainder when i is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mnydbab. What is prob of picking 1 y, 1 d, 1 b, and 1 m?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(350)*-2)\/(sqrt(6)\/sqrt(3)*-5 - sqrt(16)\/(sqrt(24)\/sqrt(3)))*-2)**2.\nAnswer: 2800\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190)*2*3 - (sqrt(190) + (sqrt(190) - (sqrt(190) - (2*sqrt(190) + sqrt(190))))*-4))*-4)\/(sqrt(10)*3*6 - (sqrt(1210)*3 + sqrt(10))).\nAnswer: 17*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32622342 is divided by 6524465?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2 + 7*t - 41. Calculate s(7).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**2 - 31*t - 15. Let x(d) = -d**2 - 15*d - 7. Let f(g) = -4*b(g) + 9*x(g). Let c be f(-10). What is the greatest common factor of 56 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3, -22, -79, -192, -379, -658, -1047?\n\"Answer: -3*c**3 - c**2 + 5*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*a**2 + 3650884*a + 7757291 wrt a.\nAnswer: 8*a + 3650884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19766 + 25036.\nAnswer: 44802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 101122202011 (base 3) to base 16\nAnswer: 33367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.6 + -4. Let y = -1.5 - -0.5. Let o = y - t. Round o to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -i**3 - 27\/2*i**2 + 30*i + 186. Find u, given that d(u) = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.5 + 6.1. Let h be -2*2\/(-28)*-2. Which is the closest to 1\/2? (a) m (b) 2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 426689 - -1.\nAnswer: 426690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5356 - 2?\nAnswer: 5354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*p + 33*p - 10*p = 44*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 1.22.\nAnswer: 4.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 4 = 3*u. Let v(z) = -1 + z + u + 5. Let f be v(-9). Solve 3 = -f*n - 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 55*s - 540. Calculate p(7).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + q = 75. Suppose 8*s + 2*a = 3*s + q, -4*a + 17 = -s. Calculate the highest common divisor of 12 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + -2*sqrt(108) - sqrt(108))\/sqrt(4) + -3*sqrt(3888))\/((sqrt(54)\/sqrt(2)*3)\/sqrt(3)).\nAnswer: -38*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 11, 35, 97, 215, 407, 691?\nAnswer: 1085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2440 in 2.16, -0.24, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3828 divided by 44.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*u = -62*u + 31*u + 30*u + n + 101, 3*n = -5*u + 17 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 7) in base 11?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 16 - 4. Let j be (-6 - -9)*1\/n. Suppose 4*o + j = -7. Put o, 3, -3 in increasing order.\nAnswer: -3, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-225)\/(-500)*6\/27 - 93\/730. Put t, 2\/5, 6, 0, -3 in ascending order.\nAnswer: -3, t, 0, 2\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 904 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 - 3)*(-3826 - 350*g + 349*g - 69) in the form u + f*g and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245 - 148 = 2*u + 5*a, 5*u - a = -969. Let y = 317 + u. Let s = -86 + y. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 1)\/(3 + -2). Suppose -9 = -4*i - 3*p - g*p, -4*p + 5 = 3*i. Solve -12 = 3*j + 4*c, -2*c + 20 = i*j - 8*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**2 + 10*x - 10. Let u be r(2). Sort u, -1, -0.2, -17 in increasing order.\nAnswer: -17, -1, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 10*w**2 + 23*w - 9. Let x be k(-12). Let d be (x - 4) + (-32784012)\/(-12). Round d to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 4:47 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 3*o + 1. Suppose 17 = -4*l + 5. Let q be p(l). Let t = -1 - q. What is the nearest to 1\/3 in t, 1\/2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**2 - b + 2. Let k(i) = 172*i**3 + 40*i**2 + 20*i - 40. Determine -40*h(u) - 2*k(u).\nAnswer: -344*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x**(-1\/3)\/x*x))*x)**47 assuming x is positive.\nAnswer: x**(94\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251*o - 85*o - 11 - 82*o - 82*o + 0 - 172.\nAnswer: 2*o - 183","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 3:31 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/7 - 50983*w\/7 - 101970\/7.\nAnswer: (w - 50985)*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3110211 (base 5) in base 10?\nAnswer: -50681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/8 of a millimeter in micrometers?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13188\/17 - -776. Let t be ((-24)\/10)\/3 - (-8)\/(-40). Is y > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5.4 (b) 3 (c) -0.3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6474794.\nAnswer: 2, 3237397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 1 + (4 - 1). Let n(g) = g**2 - 2*g**2 + 2*g**2 + g**w. Let c(x) = -7*x. What is n(c(o))?\nAnswer: 98*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 344 = 67*l - 326 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/2, 2\/5, 0.1, 95?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.1 = 266.5454?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 11*l**3 - 7*l**3 + 7 + 17*l**3.\nAnswer: 21*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yfdfw. What is prob of picking 1 d, 1 w, and 1 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 4 + -2 - 36\/(-3). Let u(f) = f**2 + 5*f - d*f + 6*f - 1. Give u(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/2*q**4 + 11\/2*q - 11\/2*q**3 - 6 + 13\/2*q**2 = 0 for q.\nAnswer: -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4872?\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66 + -72. Is (2\/o)\/((-20)\/(-60))*-2839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**3\/15 + 736*h**2\/15 + 5984*h\/15 + 12032\/15 = 0.\nAnswer: -4, 376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/9 - 84\/(-378). Suppose 17*f = m + 15. Put 5, f, 85, -2 in increasing order.\nAnswer: -2, f, 5, 85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 851595 * 1.43.\nAnswer: 1217780.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -74 + d**3 - 29*d**2 + 8*d**2 + 52 - 2*d**3 - 13*d. What are the prime factors of h(-21)?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -32*t + 4*t**2 - 651 - 3251 + 15*t**2 + 63*t - 39*t wrt t.\nAnswer: 38*t - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -3.1. Let i = -4 + 4.3. Let m = i - 0.5. Which is the third smallest value? (a) -3 (b) m (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqcvtwc. Give prob of sequence cqvt.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -105 - -109. Let h(z) = 2*z - 1. Suppose 0 = 4*o + o - 5. Let f be h(o). Put w, f, -4 in descending order.\nAnswer: w, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 1)*(-2*i + 0*i + 4*i) + 2*i - 3*i + 0*i + 414*i - 4528*i + 861*i)*(-2*i + 5*i - 2*i).\nAnswer: -3252*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1629445 and 1670?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 4*k**4\/11 + 25570*k**3\/11 - 964426*k**2\/11 + 475820*k\/11 = 0.\nAnswer: -6430, 0, 1\/2, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + v**2 + v - 2. Let u(s) = 2*s**3 + 10*s**2 + 6*s - 9. Give -u(h) + 5*z(h).\nAnswer: 3*h**3 - 5*h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 4:57 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of b**6\/120 - b**3\/6 + 5*b**2\/2 - 5. Let y(t) be the second derivative of v(t). Differentiate y(h) wrt h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((11 - 4) + -13)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 156331 = 156328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -175413526 and 2?\nAnswer: -350827052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 982127 - -172382. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -24, 301686, 5, 0, -1 in decreasing order.\nAnswer: 301686, 5, 0, -1, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -16. Suppose 0*y = 3*y - o. Suppose y = c + 2*c - z, -5*c + 5*z = -5. Solve 3*h - 6 = 2*f - h, c = 5*f - 2*h + 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 51677481 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 4*w - 8. Let m be p(2). Suppose -g + 14 = 4*j, -m*j - 10 = -5*j + 3*g. Is 4 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1137605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -k - 2*k. Let b be ((-1)\/7 + 219\/14)*-2. Let i = k - b. Let r(z) = z**2 + 8*z + 3. Calculate r(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 673625 and 6375.\nAnswer: 2020875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 6:08 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 394 - 374. Suppose 0 = 3*y - 3*x + 8*x - 225, 5*x = -4*y + 295. What is the greatest common factor of y and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*k = -115*k - 71*k + 1616. What is the remainder when (-3)\/15*122*-5 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*p**4 + p**2 + 4 - 2*p + 10 - 3*p - 1 - 15 in the form g + a*p**4 + k*p**2 + j*p + i*p**3 and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 9*o**2 - 7. Calculate r(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = o + 15. Let s(k) = -k**3 + 2*k**2 + 3*k + 4. Let t be s(o). Suppose -5*c = 4*a - 35, 0 = t*c + 4*a - 6*a - 2. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((2\/(-22))\/((-2576)\/616))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5278 + 113.1378. Let q = d + -117. What is q rounded to 1 dp?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234598 = -864*d - 181894 for d.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 128652119?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 4*u = -10, 10*p + 296*u = -9*p + 291*u + 63 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 4*q - 3. Let j be w(5). Let b be j + 0 + -1 + 1. Find the second derivative of 4*c - 4*c + c**2 - b*c wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + 33517\/1386 - (-154)\/84.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 6. Let w(s) = -s**3 + 10*s**2 - 9*s. Let b be w(9). What is the nearest to b in 1\/2, 1, f?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d + 67*d = 48504. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*o - 2*t + 4461, 2*t + 2988 = 2*o. Suppose u - 503 = 3*j - 2*j, -3*j = 3*u - o. Suppose 11*v = 16*v - u. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11868?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + g**2 - g. Let n(r) = -8*r**3 - 6*r**2 + 8*r + 2. Let v(q) = -q**3 + 12*q**2 + 16. Let k be v(12). Let x = k - 22. Determine x*t(m) - n(m).\nAnswer: 2*m**3 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -14.3, -32, 0.62, -4\/5?\nAnswer: 0.62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 9*j**2 - 12*j + 10. Let p be o(10). Let b = p + 5. Put -3, -1, b in increasing order.\nAnswer: b, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.03 + -3. Let x = p + -0.03. Sort -2\/15, 0.2, x in descending order.\nAnswer: 0.2, x, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -c**3\/3 - 11*c**2\/2 + 12*c + 1. Let q be t(-9). Let d = q - 16. Solve -x - 3*g + 9 = -8, 2*x = -2*g + d for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in -0.4, -1\/8662, -5, 3, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -386, -771, -1156, -1541, -1926, -2311?\nAnswer: -2696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -71*n**3*x**2 - 4*n**3*x - 25*n**3 + 5198*n**2*x**2 - 290*n*x - x**2 wrt x?\nAnswer: -142*n**3 + 10396*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53257 - 166025 = -2585*z - 1036*z + 443*z. Let u be (-2 - -10)\/(2\/23). What is the greatest common divisor of u and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -397, -423, -449, -475, -501, -527?\n\"Answer: -26*u - 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n - 7*g + 2*g - 217, 85 + 1002 = 19*n - 5*g for n.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 56, -2397, -9126, -22291, -44052, -76569?\n\"Answer: -360*z**3 + 22*z**2 + z + 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -1896*k**2. Let g(c) = -6*c**2 - 3*c + 9. Let i(m) = 9*m**2 + 4*m - 12. Let b(a) = -4*g(a) - 3*i(a). Give o(b(n)).\nAnswer: -17064*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -261235444 - 3?\nAnswer: -261235450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x**2 - 4*x - 5. Let s(z) = -14*z**2 + 16*z + 19. Let q(r) = r + 1. Let y(p) = 5*q(p) - s(p). Calculate -8*u(b) + 3*y(b).\nAnswer: 2*b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.03022 + 0.03. What is y rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293*f**2 - 609*f**2 + 25*f**2 + 289*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -30 + 33. Let u = 2 + 0. Sort u, j, 1, -0.4 in ascending order.\nAnswer: -0.4, 1, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, 93, 0.2, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - m + 5*m)*(-1 - 2 + 4 + (-3 + 0 + 1)*(1 + 1 + 0))*(m + 17*m - 5*m).\nAnswer: -78*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 6:09 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(3)*1)**2 + (sqrt(108) - sqrt(108)*1)**2 + sqrt(108) + sqrt(3) + (sqrt(3) - (sqrt(12))**2*2) + sqrt(3)*-2*6.\nAnswer: -4*sqrt(3) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + t + 0*t + 12 = 0, 0 = 4*m + 4*t. Solve f + f = 5*v - 9, 4*f + m*v = -6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 49 (b) -4 (c) -0.535 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6109988, 12219996, 18330008, 24440024, 30550044?\n\"Answer: 2*k**2 + 6110002*k - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**(-2\/9)*k**(1\/7)\/k)**19)**5 assuming k is positive.\nAnswer: k**(8170\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1378)\/(-520) - (-3)\/(-4))\/((-42060)\/(-600) - 70).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00441654825 to seven decimal places.\nAnswer: 0.0044165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -87*j**5 + 90*j**5 - 81*j**3 - 8*j**4 - 48*j - 4*j**4 - 42*j**2 - 72*j**2.\nAnswer: 3*j*(j - 8)*(j + 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 649388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1099*h - 477*h - 29797 = 14331 for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6400000 rounded to the nearest 100000?\nAnswer: -6400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 529*u - 2116. Determine n(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 24517 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c - 32 = 0, -8 - 6 = -2*m + 83*c - 81*c for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6580227 + 138053744\/21. Let t = -6238 - u. Let i = t - 13\/7. Calculate the common denominator of i and -7\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*w - 3*q + 557041 + 7130, -2*q + 313429 = 5*w. What is the thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 8:59 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r**3 - 899*r**2 + 2477*r + 164. Calculate k(177).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of z**3\/3 + 11*z**2\/2 + 2*z. Let s be (-221)\/26*1\/(-3 + 20\/8). List the prime factors of a(s).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 2570, 19, -1, -3, 6.\nAnswer: -28, -3, -1, 6, 19, 2570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 156624, 156623, 156622, 156621?\n\"Answer: -j + 156625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -a**5\/20 + 13*a**4\/12 + a**3\/6 - a**2\/2 + 2*a. Suppose -57 = -3*u - 2*k, 3*u = -3*k - 37 + 103. Calculate q(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346 a factor of 19076858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 522280 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22925811 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -43565 + -6326?\nAnswer: -52113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49 + (-6600)\/(-135))*1.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 e when four letters picked without replacement from ddddhheee?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -260*h*z**3 - 20*z**3 - 6*z wrt h?\nAnswer: -260*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 76*2\/352 - 4\/22\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6)\/21 + (9610\/(-14))\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112994001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0531 and 23815?\nAnswer: 23814.9469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -340 + 490. Let y = w + 610. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 - (88 + -37 + -58).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 127?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -75*t**2 + 11*t**5 + 75*t**2 + 20*t**5 + 13*t + 6*t**4 + 33*t**5 + 162 wrt t?\nAnswer: 1280*t**3 + 72*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 209746? (a) -1\/58 (b) -0.3 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -5*i + 4*a - 35, 52 = -3*i - 5*a. Let h be -2 - -3*(-132)\/i. Calculate the highest common divisor of h and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 179328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 4*z + 47, u + 15 + 14 = -3*z. Let x = 13 + z. Let n be x\/3 + (-4)\/6. Solve -y - n = i, -3*y - 3 - 6 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b**3 + 0*b**3 - 4*b**3)*(2*b - b - 6*b) - 3*b**2 + 3*b**2 - 2*b**4 + (-b**3 + 0*b**3 + 0*b**3)*(-2 + 2 + b).\nAnswer: -13*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 29 = 3*w - k, -3*w - 2*k = 19 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 40985.18m?\nAnswer: 40985180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -187.374 - 93793.326. Let i = w + 93842.6883. Let l = -138 - i. What is l rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0017 + 3.9983. What is the nearest to -2\/3 in -5, -1\/7, t?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 186\/27 - 1\/(-9). Let p = s - -50. List the prime factors of p.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1311 is divided by ((-441)\/(-98))\/((-6)\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*z - 2*z - 9*z)*(-3*z - 3*z + 4*z) + 7*z**2 - 88*z**2 - 187 + 187 in the form a + c*z + f*z**2 and give f.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 11*o**2 - 14*o - 2. Let f = 317\/21 + 25\/7. Find the common denominator of p(-10) and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 2. Suppose 4*n = -2*z - 80, -5*z = -11*n + 8*n - 86. Let u(i) = 11 + 14 - 6*i - 14. What is n*m(w) + 4*u(w)?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.15175 + 0.1466725. What is q rounded to 5 decimal places?\nAnswer: -0.00508","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/21 + (-49540)\/(-35). Suppose 5*z - c = -0*z + 5*b, -b - 5 = 0. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3157404765 to the nearest integer?\nAnswer: 56191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of y**4\/36 + 65*y**3\/9 + 4225*y**2\/6 - 317*y. Determine s, given that q(s) = 0.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.2 + 0.8. What is the second smallest value in t, -1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 113700 to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 + 343. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*b - 1 = 0. Let q be (-1)\/b + (-10)\/5. Let g = q + 7. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 13. Let v = -4481 + 6939. Suppose -v + 78 = l*f. What is f rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, 0.4, -2, -1, -2487?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**0*y\/(y\/(y**(1\/3)\/y)*y)*y*y)**40 assuming y is positive.\nAnswer: y**(160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3631, 3376, 2951, 2356, 1591, 656?\n\"Answer: -85*l**2 + 3716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b - 3. Let y be 1 + (-5)\/((-25)\/(-5)). Let c be h(y). Which is smaller: c or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1616 at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/4317 and 37\/6?\nAnswer: 8634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1669, -14862, -50665, -120376, -235293, -406714, -645937, -964260?\nAnswer: -1372981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q - 4. Let s be j(11). Suppose -3*a - s = -7*a. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/3 - 39242*r - 1154950923.\nAnswer: -(r + 58863)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 16 = 4. Suppose 0*s = 5*r + 2*s - 47, p*r - s - 48 = 0. Let h = 11 - 6. Solve -25 = -h*z - 3*w, -r = 3*z - 3*w - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (1 - (-4 + 10) - -6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*h, 7*h = 4*g + 8*h + 1083. Let t = -81 - g. What is the remainder when t is divided by 86?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -a**4\/6 - 2*a + 695. Let n(b) = -2*b**2 - 87. Determine n(d(j)).\nAnswer: -8*j**4 - 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13395*z + 380 = -13415*z for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -g**9\/7560 - g**8\/1680 + g**7\/315 + g**6\/45 + 19*g**4\/24 + 24*g**2. Let r(y) be the second derivative of b(y). Factor r(k).\nAnswer: -2*k*(k - 2)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -983 + -83?\nAnswer: -a56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -828 (b) 2\/11 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 5*q**2 - 4*q - 2. Let r be d(-5). Suppose 0 = -4*u + 40 - 12. Suppose -7*l = u - 0. Put 3, l, r in descending order.\nAnswer: r, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*p + 0*p + p)*(2 + 1 - 1) - 4 + 4 + 2*p - 4*p + 0*p + 5*p)*(0*p + p + 0*p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 97 + 473 = -5*z, -4*b - 344 = 5*z. Let d = z + 77. Let g(p) = -2023 + 2023 - d*p. Let u(n) = 3*n**2. Determine g(u(t)).\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cczzcz. What is prob of sequence zzcc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 305*j**3*s + 8*j**3 + 2*j**2*s + 10*j**2 - 7*j*s + 2*j - 288*s wrt j.\nAnswer: 1830*j*s + 48*j + 4*s + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/3 + 19208*j\/3 - 46118408\/3.\nAnswer: -2*(j - 4802)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2531 - 1642. Is 10 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -840 divided by -2?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 11:04 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qzzqqqzqqzqqqqqqqzq. What is prob of sequence qqqz?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 7*c**2 + 9*c + 2. Let k be t(5). Calculate the least common multiple of 1 + -1 + (1 - -1) and (-6)\/(-9) + (-1)\/k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 13*m - 5 - 5 in the form g + t*m and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -7*j**2. Let p = -65 - -71. Suppose -p*u + 1 = 25. Let h be -26*5\/110 - u\/22. What is k(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 8*p**2 + 10*p + 54. Give w(-4).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -436 from -3.63.\nAnswer: 432.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28048 - 77398 = -150*f. Calculate the smallest common multiple of f and 611.\nAnswer: 4277","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*o - 15*o + 336. Let k(y) = o*y + 86*y - 169*y. Let a(c) = 7 - 7 - 19*c**2. What is a(k(u))?\nAnswer: -19*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -9*u - 101. Let x be n(-11). Let z(t) = -8*t**2 - 3*t - 1. Determine z(x).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6076791 is divided by 2880?\nAnswer: 2871","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/6)\/(((-968)\/(-198))\/(-44)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -262616?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**5 - 196*m**4 - 1872*m**3 = 0 for m.\nAnswer: -36, -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p = 13173 - 4923. Suppose -321 = z - p. Calculate the highest common divisor of z and 459.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 = 1800\/209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**2\/3 + 54494*n\/3 + 381752 = 0. What is n?\nAnswer: -21, 27268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + (-3*(sqrt(95) - (-4*(sqrt(95) + -1*sqrt(95)) + sqrt(95))))\/((sqrt(60) + sqrt(2160)*1)\/sqrt(12))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v + s - 41, 62*v + 80 = 57*v + 7*s for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9\/9*16\/(-32)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(72)\/sqrt(6))\/sqrt(6) - 2*sqrt(8)).\nAnswer: -3*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -6*c - 21. Let n be i(-5). Calculate the highest common factor of 171 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316649?\nAnswer: 316649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6227969597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 3 = 2*o, -2*i - 18 = -43*o + 47*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 = 11*c + 144. Find the third derivative of 56*a**4 - 22*a**c + 7*a**3 + 21*a**2 - 35*a**4 wrt a.\nAnswer: -24*a + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132234162.\nAnswer: 2, 3, 461, 47807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1280 and 65080?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence khpq when four letters picked without replacement from {p: 4, q: 3, k: 1, h: 2, l: 4, o: 1}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23 or -27.8?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 0.02, 1 in descending order.\nAnswer: 1, 0.02, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108 and 3576.\nAnswer: 32184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, -8, -4 in increasing order.\nAnswer: -8, -4, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -895528*r*t + 1367457*t wrt r.\nAnswer: -895528*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 48 in 2\/9, 0.2, -0.11?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 j, and 1 o when three letters picked without replacement from {k: 3, v: 6, u: 4, j: 1, o: 1, d: 5}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234 = 2*s - 2*r, 17*r = 12*r - 20. What is the remainder when s is divided by 64?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 17*c**2 - 2*c. Let g be o(2). Let z = -21 + g. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - i + 71. Let p be x(0). Let v be 0 + (-2)\/(-1) + 30. Suppose p = f - v. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 81 - 77. Suppose 0 + 14 = 5*q + j, 3*q - 4*j = 13. Suppose -k + 3*x = -5, q*k + x + 3 = a*k. What is the lowest common multiple of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24443 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 70 = -4*s. Suppose 0*p + s = 2*p. Solve -3*b = p + 5 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f. Let r(v) = -571072*v. What is g(r(h))?\nAnswer: -1142144*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(2\/127))\/i**(24\/11) assuming i is positive.\nAnswer: i**(-1673\/1397)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 157 + -88. Let c = 99 - a. Let q = 18.6 - c. What is q rounded to 0 decimal places?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 2 - (146 + -179).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 12*k = 15*k - 23, 22 = -4*y + 2*k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -264.143 rounded to the nearest integer?\nAnswer: -264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b + 3*b**2 - 5 - 2*b - 2*b**2. Let m be f(5). Suppose -14 = -m*z - 2*z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -22576 from 3.3546.\nAnswer: 22579.3546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-21)\/u)**6*(u\/(u\/(u*u*u*u**22)*u))**(-14\/3) assuming u is positive.\nAnswer: u**(-238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdcw when four letters picked without replacement from {d: 2, n: 6, w: 1, c: 2}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228*r - 228*r + 176*r**3 - 7243*r**2 + 7243*r**2.\nAnswer: 176*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23430031013 + 5?\nAnswer: -23430031004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1103*t + 81884 = -543*t + 990*t + 311*t for t.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 17*q**2 + 0*q**4 + 99*q - 27\/20*q**5 - 1\/6*q**3 + 0 + 1\/30*q**6. What is the second derivative of x(f) wrt f?\nAnswer: 12*f**2 - 162*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of c**5\/100 - c**4\/15 + 23*c. Factor x(w).\nAnswer: w**2*(w - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 21.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-4)\/y**(2\/5)*(y*y**3)\/(y\/(y**(-10)\/y)*y) assuming y is positive.\nAnswer: y**(-67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 260207509, 520415019, 780622529, 1040830039, 1301037549?\nAnswer: 1561245059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 6*f + 3. Let i be a(10). Suppose 1 = -q, -i = -3*g - 3*q + q. Suppose 5*t - 171 - 44 = 0. What is the remainder when t is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -79236508*l**2 - 48265947*l.\nAnswer: -158473016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 1:48 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -25283 (base 11) to base 15\nAnswer: -ab30","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: 132334.58 * 3\nAnswer: 397003.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-4) - (-110)\/20. Suppose -d*c - 10 = -10*c. Let u(x) = 8 + c*x - 5 - x. Determine u(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 134*o**3 + 7*o**2 + 6*o - 6. Let x(d) = -d**3 - d**2 - d + 1. Calculate -q(g) - 6*x(g).\nAnswer: -128*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1720253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/4 in -330, 2\/13, 192?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -82\/329 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1884 + 1839*f**2 - 1842*f**2 + 7999.\nAnswer: -3*f**2 + 9883","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 5 + 2. Suppose 4*r + 1 - 17 = -x*o, 3*o + r = 31. What is the remainder when 35 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*d = -61*d + 76*d - 84 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -4*y - 2*j + 3, y = -2*j - 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/12)\/((-190)\/(-10))\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3\/8, -109138, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6498642 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -41 + 39 - (-2 - -1)\/((-3)\/(-324)). What is the greatest common divisor of 12 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 21. What is the remainder when g is divided by (-4 + -16)\/((325\/(-10))\/13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 81 = 2*f + 63, -3*f + 19 = -l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/2 + 115*c**2\/2 - 4125*c\/2 + 32625\/2.\nAnswer: (c - 15)**2*(c + 145)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2, 6*h - h - 7 = y. Let w(b) = 3*b**3 + 7*b**2 - 6*b + 5. Let v(x) = 5*x**3 + 13*x**2 - 11*x + 9. Let g(a) = -4*v(a) + 7*w(a). Give g(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 7*w + 34*w + 7 = 23*w, -6*w - 19 = q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4*d - 0*u - 2, 5*u = -10. Let o = 8 + d. Calculate the greatest common factor of 22 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.7998 to one dp.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-284)\/((-434520)\/(-2805)))\/(9\/(-6))?\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzxaxxzzzzkzzzzxzzzx. Give prob of picking 1 a and 2 z.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515700 is divided by 168016.\nAnswer: 11652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -80201005, -80201007, -80201009?\n\"Answer: -2*w - 80201003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-32 - 37)\/(-11937)?\nAnswer: -1\/173","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4216 and 11657736?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4781553901.\nAnswer: 29, 3331, 49499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 3*u + 1. Calculate t(3).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4*d - 20. Let w be r(-7). Let c(y) = y**2 - 7*y - 5. List the prime factors of c(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 2*p = 28. Let w = p - -1. Calculate the least common multiple of 69\/9 + (-2)\/w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29770 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 1 - 15. Let n = d + -5. Solve -9 = n*k - 24 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 14. Let o be k(-10). Suppose 6*r + g = r + 839, o*r = -g + 672. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**2 + 2533230*o - 35466200 = 0 for o.\nAnswer: -506660, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + 0 + -2)**2 - (-2 + sqrt(700))**2) + 1.\nAnswer: -692 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-5)*y*(y*y**(-32)*y*y)\/y)\/(y\/(y\/y**(-4\/7)))**(-3\/16))**44 assuming y is positive.\nAnswer: y**(-10505\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/244692 and 115\/1512?\nAnswer: 1468152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1770*k**3*n*x**3 - 107*k**3*x**2 + 2*k**2*n*x**2 + 15*k*n + k*x**3 wrt x.\nAnswer: -10620*k**3*n + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -8*b + 189. Calculate d(24).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 128\/49 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1663496401 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w - 31. Let r be s(-17). Suppose -194 = -r*d + 94. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609597 to the power of 1\/2, to the nearest integer?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9801.479km?\nAnswer: 9801479000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 760469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -12, -1, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 26 = 2*y + 6, 2*q + y - 19 = 0. Suppose -20 = -k + 10. Calculate the highest common factor of k and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(228)*5)\/sqrt(3))**2.\nAnswer: -80*sqrt(19) + 1916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 21 = 1. What is the tens digit of (4 - 68\/4*n) + -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1301 is divided by 147?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/1314 and -89\/186.\nAnswer: 40734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/10172 and -15\/716.\nAnswer: 1820788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -48 and -2.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (830\/(-50) + 16)*1. What is the nearest to z in -1\/5, -50\/11, -3\/8, -3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r = -30, -6*t = -9*t - r + 1393 - 1416 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 39*o**2 + 1286*o - 27. Let z(a) = -7*a**2 - 257*a + 5. What is 2*p(i) + 11*z(i)?\nAnswer: i**2 - 255*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q - 1. Let h be t(-4). Suppose -3*n - j + 26 + 34 = 0, -3*j - 93 = -4*n. Let i = 588 - 582. Solve -n = h*z - i for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4 + 38*w**3 - 238*w**2 + 490*w.\nAnswer: -2*w*(w - 7)**2*(w - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 c when two letters picked without replacement from {r: 1, c: 1, o: 14}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -2)\/((-20)\/100). Let v = 0.2 + -0.7. What is the third smallest value in 1\/7, v, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -15*k - 55. Let o be u(-11). Let n = 29 - 24. Suppose 0 = -n*t + c + o, -c + 79 = t + 3*t. What is the least common multiple of t and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/15182008 and -9\/220?\nAnswer: 835010440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (8\/26)\/(119\/13 + -9)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 27564.309 months?\nAnswer: 2.29702575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 11bb170?\nAnswer: 11bb167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -90*p**4*w - p**4 + 3*p**3*w - 613*p**3 - 2*p**2 - p*w - 41347*p - 56*w wrt p.\nAnswer: -2160*p*w - 24*p + 18*w - 3678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7005487 take away 0.7258?\nAnswer: -2.4263487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 12:06 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 5:43 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (420\/8)\/15*(-95)\/2660?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.72 take away -0.32214?\nAnswer: -20.39786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*a - 173*a + 32 = 0. Let t = 5 - 5.5. Put t, 5, a, -3 in ascending order.\nAnswer: a, -3, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (22*i + 9*i - 9*i)*((0 - 1 + 0)*(4*i + 2*i - 5*i) + 11*i - 21*i - i) as a*i + q + r*i**2 and give r.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 931625 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4476816.\nAnswer: 2, 3, 43, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 592*f - 595*f - 15 = 0, -3*f = 15 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4172 times -0.11\nAnswer: 458.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 502503?\nAnswer: 1005006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**2 + 69*b + 684 = 0.\nAnswer: -57, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 234*h**2 + h. Let b be s(-1). Let c be ((-9093)\/5 + -1)\/(-8). Let x = c - b. Find the common denominator of x and -89\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32040 + -3?\nAnswer: -32043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 + 1 - 4 - 3 + 6.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 12 in decreasing order.\nAnswer: 12, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101011111 + 0?\nAnswer: 11101011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*0.311.\nAnswer: -0.0622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.7897921 to 2 dps.\nAnswer: 3.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0592 + 342.0592. Let l = -343.47 + s. What is l rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-2)*(-19)\/152*-4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1, -19, -73, -181, -361, -631, -1009, -1513?\n\"Answer: -3*r**3 + 3*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25034 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-5)*-2 + 8352\/2880?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -9. Suppose -8 = m*x - 6*x. What is the second derivative of 7*v - 7*v + x*v + 2*v**5 wrt v?\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003332274 to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 6*b**2 + 7*b + 11. Let a be c(-2). Calculate the remainder when 31 is divided by -3 - (-23)\/7 - (-120)\/a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 9*u**2 - 9*u + 3. Let o(r) = -4*r**2 + 5*r - 2. Let n(h) = -3*k(h) - 7*o(h). Let q be n(9). Let v = q + -4. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 6*y - 4. Let v be i(5). Let l be (-20 - (-2 - v)) + 3. Is 24 a factor of (-144)\/(-28)*l\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -41153, -41135, -41083, -40979, -40805, -40543?\n\"Answer: 3*a**3 - a**2 - 41155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -87980 divided by 1?\nAnswer: -87980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 2*r - 3*r = -208, 0 = 4*h - r - 308. What are the prime factors of h?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 502992.\nAnswer: 2, 3, 7, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 337204, 337205, 337206, 337207, 337208, 337209?\n\"Answer: m + 337203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7220, 7219, 7218?\nAnswer: 7217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b - 4. Let h be s(3). Suppose -8 = -5*z + 12. Suppose 0 = -z*u - 3*t, 4*u + 4*t = -2 - 2. Solve -2*q + c = u*c - 12, 4*c = 4*q - h for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o - 82. What is x(-25)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1097494?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/7, 0.028, 51, 1\/4, 0.3, -86?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 281712 (base 9) in base 2?\nAnswer: 101001111101110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 - m - 1. Let s(k) = -3*k**3 + 6*k**2 + 8*k - 8. Let c(b) = -2*a(b) + s(b). Let n(t) = 3*t**3 - 2*t**2 - 11*t + 7. Give 7*c(i) + 6*n(i).\nAnswer: -3*i**3 + 2*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -35151 greater than or equal to -35141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1203 + -1202.999389. Round z to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106391635 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1057*u - 950*u + 1881*u - 178 - 452 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z + 15. Let d be u(11). Let a = 9 + -5. Let p be ((-12)\/15)\/(a\/10). Sort p, -5, d in decreasing order.\nAnswer: d, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1.1, 1.8, 39, 1\/2, 2\/7, 2?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23829 is divided by 19.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 772547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 4*q + 1. Let z be t(-4). Suppose 5*o - h - 61 - 18 = 0, o = h + 19. Which is the fourth biggest value? (a) o (b) -5 (c) 1\/7 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, u: 3, s: 12}. Give prob of sequence uuqs.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -186251*4.\nAnswer: -745004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -463 - -465. Factor -13*r - 2*r**s + 21*r - 27*r - 5*r - r**2.\nAnswer: -3*r*(r + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -5\/4*u**4 + 0*u**3 - 69 - 2*u - 2*u**2. Let b(q) = 9*q**3 + 7*q + 4. Calculate -4*b(z) - 7*v(z).\nAnswer: -z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -43, 3, 6669?\nAnswer: 6669","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 4) in base 10?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 4*s + 5. Let z be t(-4). Suppose -21 = -d + 4*r, -4*d + 41 = -z*r + 1. Suppose 109 + 6 = d*j. What is the greatest common factor of 184 and j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 446 and 18178?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22468.\nAnswer: 2, 41, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -223?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -551*f - 118*f - 272*f - 5*f**2 + 130*f.\nAnswer: -5*f**2 - 811*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/(sqrt(72) - sqrt(8)))**2.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 56062079 to the power of 1\/2, to the nearest integer?\nAnswer: 7487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000095074225 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1379217?\nAnswer: 3, 7, 65677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 20. Let l = 2 - n. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**4 - 7*v**4 + 3*v**4 + (4*v**2 + v**2 - 6*v**2)*(5*v - 5*v - v**2).\nAnswer: -7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(2\/11)*z*z*z\/z**(-11))**(6\/5))**45)**(6\/11) assuming z is positive.\nAnswer: z**(50544\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 94.745 - 95. Let k = a - -0.25500218. What is k rounded to seven decimal places?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -3*b**2 - 4*b + 0 + 0*b**5 + 0*b**4 + 0*b**3 + 11\/30*b**6. Differentiate p(s) with respect to s.\nAnswer: 44*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ewcc when four letters picked without replacement from {w: 1, e: 3, c: 3}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-47 - 29)) + -45?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-15)\/c)\/c)\/(c*c*c*c\/(c\/((c*c**(1\/8)*c)\/c*c))))\/(c**(-1)\/c**(3\/11)) assuming c is positive.\nAnswer: c**(-1747\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 2\/5, 1\/3 in increasing order.\nAnswer: -4, 0, 1\/3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49.1 + 49.4. Which is the third biggest value? (a) 1\/3 (b) -1\/8 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 3 - 3 + (-3*x - 2*x + 7*x)*(4 - 5 + 3) - x - x + 5*x + 2*x - 4*x + x)*(-2 - 1 + 4) + 4 - 4 + x + (0 - 2 + 3)*(x - 2 + 2).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (0 - 0 - 6) + 6 + -13.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*i + 3*x - 16, -2*i + 4 = -4*x. What is the remainder when 318 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -3*s**5\/28 - 13*s**4\/56 + s**3\/7 - 17*s**2. Suppose o(c) = 0. Calculate c.\nAnswer: -1, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*b + 10 = 0. Is 25 a factor of (-168)\/b*(-75)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -1. Let f = -31543\/1151990 + 13\/490. Let z = f + 9454\/58775. Is y greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 7567956\nAnswer: 22703868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q. Let i(h) = -16*h - 3. Let k(w) = 18*w + 1. Let a = -203 - -206. Let p(o) = a*k(o) + 2*i(o). Calculate d(p(y)).\nAnswer: -44*y + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -65701*m**5 + 49005*m wrt m.\nAnswer: -1314020*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*o + 92, -97*i = -99*i + 2*o + 66. Solve i*n = 56*n + 32 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) -0.3 (c) 1\/3 (d) -1840 (e) 20 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 8 = -r. Let u be r - 3 - 5\/(-1). What is the highest common factor of u and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y + 8. Let g be v(-2). Let a(t) = t - 1. Let u be a(5). Let w = g - u. Solve n - 4*o = 0, n + o + 3*o = -w for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-1\/6))**(5\/6))**(-2\/181))**(3\/14) assuming t is positive.\nAnswer: t**(5\/15204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 87187 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**3 + 7*j**2 + 19*j - 4. Calculate u(-6).\nAnswer: -514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of 0*c**7 - c + 0 + 1\/28*c**8 + 0*c**2 + 0*c**3 - 1\/3*c**4 + 0*c**5 + 0*c**6. What is the third derivative of l(i) wrt i?\nAnswer: 240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 345509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3708716 by 39.\nAnswer: -3708716\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 2*c + 3 = -1, -5*c + 10 = 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 299, 381, 629, 1133, 1983, 3269, 5081?\nAnswer: 7509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*p = 155*p - 102. Let k(i) = i**2 - 16*i - 16. What is k(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9563*t + 9697*t + 624 - 5716 = 0 for t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88142, 88141, 88140, 88139, 88138, 88137?\nAnswer: 88136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 91?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(8\/3)*c*c*c)\/c*c*c\/(((c*c**(-10\/9)*c)\/c)\/c))**(12\/5))**(-29) assuming c is positive.\nAnswer: c**(-1624\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 3, -14\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31757\/109584 + 25\/761. Find the common denominator of i and -143\/48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2695996 = -4*a - x - 3*x, -3*x = -5*a + 3370003. What is a rounded to the nearest ten thousand?\nAnswer: 670000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.98 + -0.02. Let d be 2\/10*(7 - 6). Sort d, 2, v.\nAnswer: v, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1)*(x - x + x + (-3 + 1 + 1)*(-1 - 2*x + 1))*(-8 + 8 - 11).\nAnswer: -66*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10 + 8*n**2 + 13*n**3 - 10 wrt n?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44033322 - 0?\nAnswer: -44033322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 57 and 38058.\nAnswer: 723102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -5. Which is greater: j or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 31*w**2. Let i(n) = n**2 - 10. Let f(t) = -2. Let r(h) = -10*f(h) + 2*i(h). Calculate a(r(g)).\nAnswer: 124*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 17*j - 2. Let v(c) = 375*c - 45. Let f(d) = 45*u(d) - 2*v(d). Let q(g) = g**2. What is f(q(x))?\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3825250 and 9416?\nAnswer: 2354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 11 = -3. Suppose 2*p + 2 = p. Sort 5, y, p in descending order.\nAnswer: 5, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**5\/13 + 326*b**4\/13 - 5196*b**3\/13 - 3880*b**2\/13 + 57424*b\/13 + 83520\/13 = 0.\nAnswer: -2, 4, 18, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 1. Let f(q) = q - 1. Let r(m) = -26*m - 18. Let p(c) = 5*f(c) - r(c). Let w(n) = -p(n) + u(n). Differentiate w(t) wrt t.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 50, 29, -10, -73, -166, -295?\nAnswer: -466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 7*w + 119. Let x be o(8). Which is smaller: 1\/516 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 75, 231, 461, 771, 1167, 1655, 2241?\n\"Answer: s**3 + 31*s**2 + 56*s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**3 - 13*z**3 + z**3.\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + z + 8. Let q be l(3). Factor 39\/5*c + 27\/5*c**3 + 12*c**q + 6\/5.\nAnswer: 3*(c + 1)**2*(9*c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2331\/100 less than or equal to 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 85 = 9*y + 3*m, -185 = -4*y - m. Calculate the lowest common multiple of 28 and y.\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.05 + 12.05. Let t = -11 - -16. Let w = d - t. Sort -1, w, 2\/9 in ascending order.\nAnswer: -1, 2\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0899 less than -4?\nAnswer: -3.9101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5\/((-10)\/16812))\/(-2). Let q = 2633 - f. Round q to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -5 - (5 - (-6 + (-2 - -11))) - 34?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmummmummu. Give prob of picking 1 m and 2 u.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 5 - 1. Let t(c) = -23*c + 1. Is t(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**2 - 2*y - 2. Calculate k(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/494 and -46\/9?\nAnswer: 4446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1022*z - 382*z - 1635*z.\nAnswer: -3039*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40 or -0.0627?\nAnswer: -0.0627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q - 1. Let v(b) = -2*b**2 + b + 1. Let x(c) = c**2 - 4*c - 6. Let o be x(5). Let d(t) = o*v(t) - 3*i(t). What is g in d(g) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*z - 35*z - 12 = -m, 5*z = -11*m - 18 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**7\/1260 + z**6\/180 + z**5\/120 + 4*z**2. Determine x so that k(x) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/2 and -11*(94\/(-52) + 2).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2731674 divided by 6?\nAnswer: 455279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 10*i**2 - 2*i + 3. Calculate the remainder when 65 is divided by t(-10).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 2. Let h = 21640 + -21644. Put h, 3, x, 1 in decreasing order.\nAnswer: 3, 1, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**3\/6 + u**2\/3 + 13*u\/2 + 12 = 0.\nAnswer: -3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-21)\/35 + 6\/10. Let u be 3\/3 - (0 + x). Differentiate u - 2 + 18*c - 20*c wrt c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 1:53 AM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5511.8 - -5512.8. Let c be (28\/6)\/((-8)\/30). Is j at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n = 17 - 3027. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2208\/71910 + 382\/44885.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bttb when four letters picked without replacement from {b: 7, t: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-9) - 1)*3. Let n = 4.9 - 0.9. Which is the biggest value? (a) 2\/9 (b) n (c) 2\/3 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 220\/865037?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4874 + 72?\nAnswer: -4802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 5:32 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*f - 18 = 0, -11 = -4*c - f + 1. Suppose y = c*y - 5. Solve -7*u + 3*u - y*m = -21, 0 = 4*m - 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 820842*-0.12.\nAnswer: -98501.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + 84\/(-30))\/((-2)\/22485). Is (((-56)\/24)\/(-7))\/(2\/o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -260 and -0.4.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*p + 26*p = 90. Is (-919926)\/p - -2 - (-33)\/55 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5985.2 rounded to the nearest 10?\nAnswer: -5990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-8 - (-9 + 1 - -6)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21443.\nAnswer: 41, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/14376400 and 91\/35941000.\nAnswer: 71882000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h + 7. Let d(m) = m + 3. Let t(s) = 6*b(s) - 15*d(s). Let q be t(-2). Suppose 6*a - q*a - 90 = 0. Does 15 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36 + 23*x**2 - 59 - 46 + 40 - 14*x**2 in the form n*x**2 + y + l*x and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-2)*(-2)\/6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of b**4\/4 + 4*b**3\/3 + 3*b**2\/2 + 3*b - 162. Give u(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 6*j - 4. Let r be p(6). Suppose 3*b - 15 = -4*v + 2*v, 5*v + 3*b = 51. Let n be (v\/(-10) - r) + -3. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -92*a + 47*a + 85*a + 28 + 83*a. Let k be r(-5). Round k to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 450289077 - 679170915 = -2*l, 0 = 5*l + 4*m - 2823650008. Round l to the nearest one million.\nAnswer: 565000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pxpppxpxxx. Give prob of picking 1 p and 2 x.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 28*d**2 + 99*d + 3744. Calculate s(-29).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4892 - 4872. Solve -38 = p*w - w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 61 = t, 4*d = -4*t + 15 + 21. What is the remainder when 53 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 19*j**2 - 2*j - 1054. What is r(-13)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 4 + 10*j**2 + 2*j + 6 to a + q*j**2 + i*j and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 121 = -3*o, -2*n - 2*n = 2*o - 70. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-15)*128070\/110994?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2 - 6*d + 15. Let k be z(11). Let y = -124 + k. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.125 + 0.425. Which is the second biggest value? (a) -0.3 (b) j (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(1 + 38\/(-39)). Suppose -3*m - 198 = -3*u - d, 0 = 5*m + 10. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 322 * 3909061.\nAnswer: 1258717642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/12*84\/(-560)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/36 and -37\/6653028.\nAnswer: 19959084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -4\/15*m**6 + 0*m**3 - 41*m**2 + 0 + 0*m + 0*m**5 + 29\/24*m**4. What is the second derivative of s(v) wrt v?\nAnswer: -192*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27237 and 204603?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/5 + 52*k**3\/5 + 414*k**2\/5 + 1188*k\/5 + 1161\/5.\nAnswer: (k + 3)**3*(k + 43)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - 3*n + 4 = -2*d, -5*n = 5*d - 15 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 1863, 7361, 18315, 36543?\nAnswer: 63863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*b - 140*b + 37*b + 32*b + 34*b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t - 90*t + 96*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/2)\/(982\/982)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b + 4. Let y be l(-4). Let i be (3 - 3) + 1104\/1180. Let k = i - 8\/59. Which is smaller: k or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11001 - -2?\nAnswer: 11003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33372167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(21)\/((sqrt(224)\/sqrt(4))\/sqrt(8)).\nAnswer: sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 12 = -3*p + 23, -3*i - 5*p - 30 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 321*o**5*u - 13*o**3*u**2 - 3*o*u**2 + 4*o*u - 2*o + 83*u wrt o.\nAnswer: 6420*o**3*u - 78*o*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1098)\/(-84) + -7 + -1 + (1 - 6).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -28 (base 12) to base 9\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -21*w + 987. Calculate u(47).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2097643, 2097641, 2097639?\nAnswer: 2097637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 264301\/22785 + 1\/4557. What is the common denominator of g and -99\/38?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 4. Let z = 0.7 - 0.3. Let t be ((-3)\/2)\/((-63)\/(-28)). What is the closest to t in r, 0.2, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1235603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63 + 9976\/(-174))\/((-2)\/(-12)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than 970.29366?\nAnswer: 970.79366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 4\/((2\/(-12))\/(16\/(-12))).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -3751041?\nAnswer: 375103a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 60\/17, -0.5 in descending order.\nAnswer: 60\/17, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11184673 is divided by 1370.\nAnswer: 1363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.94 - 0.65. Let x = m + -1.9. What is x rounded to one decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56697172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -612? (a) 1.8 (b) 4 (c) -4\/5 (d) 3\/4 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17940, 35646, 53354, 71070, 88800, 106550?\nAnswer: 124326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - -1 - 20\/5 - -3. Suppose -3*c - 2*c - 3*y + 1415 = 0, -2*y - 10 = a. List the prime factors of c.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 578 - 285. Let p = -293.0956 + v. What is p rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-43)\/(-6) + 3 + 43\/(-86))*3?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y**2 + 3*y - 4. Let w(d) = 10 - 3*d - 3*d**2 - 11 + 2*d**2 + 0*d**2 + 4*d. Give -g(j) + 5*w(j).\nAnswer: -2*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x + 24. Let n be g(-21). Determine c, given that -25*c**2 + 9*c**4 + 11*c**4 - 259*c**n + 5 + 274*c**3 - 15*c = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -357924.3 + -161047.\nAnswer: -518971.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1175 = 10*d - 15*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*p + 5 = -21, -4*t = 5*p - 74. Suppose z = 9*z - t. Factor 2*w**5 + 2*w**4 + 0*w - 4*w**3 + w**5 - 3*w - 2*w**z + 4*w.\nAnswer: w*(w - 1)*(w + 1)**2*(3*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 8*l + 3. Let s be a(-7). Suppose 2*x + j = 46, -18 = 2*x - 5*j - 52. Suppose 2*c - s = x. Is c a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -9. Let i = -43 + -187. Let u = i + 233. What is the closest to z in 1\/8, u, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -134*m - 2*m**2 + 89*m**3 - 2 + 49*m + 88*m + (3*m**2 - m**2 + 0*m**2)*(-2 - 1 - 2)*(0*m - 3*m - 4*m) as d*m**2 + p*m + s + h*m**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360336\/252 + -1 + 92\/84?\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1.0868, 0.007, 5, -34?\nAnswer: -1.0868","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 445.893ml to litres.\nAnswer: 0.445893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 18*z - 15*z - 12, 0 = -4*z + 16 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 r when two letters picked without replacement from rrryrrrrrkrkkyrkrrk.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**3 - 8*w**2 - 25*w - 104. Let s be x(-4). What is the nearest to 2 in s, 332, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/4)\/((-27)\/8244). Suppose 80 = -3*c + z. Suppose 4*a - a = c. What is the remainder when a is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1781.7 (b) 0.15697 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 9:10 AM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1934 and -0.78?\nAnswer: 1508.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4.488*2.104\nAnswer: 9.442752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4838*l**2 - 70*l - 72. List the prime factors of n(-1).\nAnswer: 2, 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/2)*k*k*k**(-25) assuming k is positive.\nAnswer: k**(-45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 - -34. Does 23 divide 4 + (3 - q) + 345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -22*h + 27*h - 7340, -2*c = -10. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -k - 2*k + 12, 3*l = 5*k - 20. Let x(b) = 2*b - 6. Let j be x(k). What is the first derivative of -2 + 2*z**j - 4*z**2 + 3 wrt z?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*q - 1 = 0, -3*y + 2*q = -8*y + 12. Let i = 3 - 0. Let x be 2\/(i + -2) + 0. Solve -x*z - 5*s - 10 = 0, 0*s + 4 = 3*z - y*s for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dj when two letters picked without replacement from gjodl.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - n**2 - n + 2. Let o be y(0). Let m(v) = -v**3 + 24*v**2 - 22*v - 27. Let t be m(23). Put 1, t, -1, o in ascending order.\nAnswer: t, -1, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 18755912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 3*i + 69, -16 = -2*m + 4*i + 6. What is the highest common factor of m and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 267933809?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1296980?\nAnswer: 2, 5, 64849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i*(i*i**(-1))\/i))\/(i*i**(1\/3)\/i*i))\/(i**(1\/7)*i*i**(-6))*((i**2*i)**(-24))**(-41) assuming i is positive.\nAnswer: i**(62066\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 550498904 to the power of 1\/2, to the nearest integer?\nAnswer: 23463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**7*n*n*n**4)\/(n*n**2*n*n**(-2\/3))*(n**(-8)\/n)\/(n\/n**(2\/13))*(n**(-4)\/n*n)\/n**(-9) assuming n is positive.\nAnswer: n**(188\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -169*u**2 - 1755*u + 377. Determine q(-11).\nAnswer: -767","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 774\/7331 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*b + 1 + 46*b + 5*b + b to the form o*b + d and give o.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.15 (b) -108 (c) -5 (d) -1 (e) -41 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (210\/(-25))\/2*(60\/(-216))\/1?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 440615 a multiple of 355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82472305.\nAnswer: 5, 61, 317, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 534 - 244. Let v = j + 371. Calculate the remainder when v is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -24*i. Let x be a(-1). Suppose 4*d - 10 = 2*v, 2*v - 9 - 2 = -3*d. Suppose -d*z = -z - x. Calculate the greatest common factor of 48 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-2 + 4\/(8\/10)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1678665 to the power of 1\/2, to the nearest integer?\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dlddlld. What is prob of sequence dl?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is dec - -2?\nAnswer: dee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 17*y, 2*a - 56868 = y - 56872 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/7 + 370*m\/7 + 748\/7.\nAnswer: -2*(m - 187)*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a millennium in decades?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 5 - 9 - (18 + -41)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 17. Solve -5*s = h*t + 20, -t + 0*t - 2 = -s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4 - 8 + 3 + 11 - 2 + 415*d**2 + 59*d wrt d.\nAnswer: 830","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 17*o**3\/6 + o. Let v(b) = 98*b - 289*b + 99*b + 89*b. What is q(v(m))?\nAnswer: -51*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2 - 791)*8\/(-4) + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/1207 and 6\/119?\nAnswer: 8449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.549 (b) -1\/27 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 25896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + v + 8 = 0. Suppose -2 = -3*o + v. Suppose -3*q + 5 = -3*u - 7, 3*u = -2*q + 28. Put u, -4, o, 1 in descending order.\nAnswer: u, o, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -104*k + 398. Let w be t(-15). What is the greatest common factor of w and 445?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and (-2 + 1)\/(-4 + (-45)\/(-12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**4\/4 - 165*x**3\/4 + 202*x**2 - 321*x + 160 = 0 for x.\nAnswer: 1, 2, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6602?\nAnswer: 2, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 14 = 48. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -413264 divided by 17968\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26 and 38.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + -2 - (sqrt(121) - sqrt(121)*-2)\/sqrt(11))**2 + -1 + ((-1 + sqrt(1584))**2 - sqrt(99)\/(sqrt(9) + sqrt(81))).\nAnswer: -145*sqrt(11)\/4 + 1687","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -e (base 16) in base 13?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -257 + 241. Suppose -4*h = -0*h - 5*g - 216, -g = -4. Calculate the remainder when h is divided by (x\/(-24))\/1*18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -434*m**4*w + 14*m**4 + 11*m**3*w - 3*m**3 + 5*m**2*w - 2*m**2 + 3*m*w + m - 119*w - 41 wrt m.\nAnswer: -10416*m*w + 336*m + 66*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 918*x**2 - 1506*x**2 - 1727*x**2 - 3072*x wrt x.\nAnswer: -4630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1377) + (sqrt(1377)*2 - sqrt(1377)) - sqrt(1377)) + -2)*-2 + 0)**2.\nAnswer: -144*sqrt(17) + 5524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 25485344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 67, 218, 455, 784, 1211?\n\"Answer: m**3 + 37*m**2 + 33*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -158*c - 15814. Calculate r(-100).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 170168, 170182, 170198, 170216, 170236, 170258?\n\"Answer: k**2 + 11*k + 170156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 10 = 0, -3*j - q + 4*q - 7*q = 2*q for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/(-4))\/(7\/(-28)). Let w be (15\/(-25))\/(1\/x). Suppose w*g = 40 + 26. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/26)\/((-1)\/1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 548 is divided by (-1946)\/(-32) - (-744)\/3968.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77181 and 4355?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -8*b**2 + 103*b + 13. Let f(q) = 7*q**2 - 101*q - 9. What is -3*f(z) - 2*v(z)?\nAnswer: -5*z**2 + 97*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103023110223122 + 1?\nAnswer: -103023110223121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 430*f**2 - 65112*f*i + 375354757*i + 2 wrt f?\nAnswer: 860*f - 65112*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 2*w + 2. Let v(k) be the first derivative of -k**3 - 2*k**2 - 4*k + 58. Calculate 5*m(b) + 2*v(b).\nAnswer: -b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 27045225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 1423137 + 69*u - 1423137. Let g(t) = -t**2 - 1. Let b(i) = 2*i**2 + 4. Let s(x) = -b(x) - 4*g(x). What is j(s(o))?\nAnswer: 138*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*a + 3291 - 6609 + 3318.\nAnswer: -46*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2 + (-5)\/((-30)\/504) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -276664, -553386, -830108?\nAnswer: -1106830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence asg when three letters picked without replacement from wywgsqa?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/6*0\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66984?\nAnswer: 2, 3, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -w + 1, 4*r - w + 9 = -4. Let x be 4 - -116*r\/(-4). Suppose -3*k - x + 342 = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 239 + -161. Suppose 0 = 3*d + 2*j - 79 + c, -d - 3*j = 2. Sort 2, d, -1, -4.\nAnswer: -4, -1, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/84 and -2\/3539493.\nAnswer: 99105804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -101 + -467327.\nAnswer: -467428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 94, -1884, 0, -4, -9 in descending order.\nAnswer: 94, 0, -4, -9, -1884","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rd when two letters picked without replacement from xxrxd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9\/5 (b) -1\/2 (c) 2983\/22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 22314 and -3.7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (12180\/(-13398))\/((-45)\/44)\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16062 + -176684\/11. What is the second smallest value in -267, m, -2\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 109 = -41. What is the second derivative of -16*a**2 + 41*a**2 + 36*a**2 - z*a - 2 wrt a?\nAnswer: 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1027 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**2 - j**4 + 1 - 1 + 2*j + 2*j**3 - 7*j to the form a*j**2 + c*j**4 + t*j**3 + b*j + o and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + 21. Let h(k) = -3*k**3 + 42*k + 9. Let u be h(-6). Suppose -285*l + 280*l = -u. What is the greatest common factor of q and l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - 18\/(-3)) + 0. Suppose 0 = -k - d + 14, -4*d + 2*d = 5*k - 82. Let v = 22 - k. Solve -2*o = -2*n + v, 0*n + 4*n + m*o - 2 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4460 and 2220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 21384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 = 24*s + 134 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = -l - 7132*o + 7130*o, -4*o = l - 71 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 59*r**2 + 3*r + 32. Let h(u) = u + 1. Let i(n) = -3*h(n) + l(n). What is the first derivative of i(q) wrt q?\nAnswer: 118*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.01 + -0.01. Let g = -0.06161 + -0.03839. Let r = -1 + 1. Which is the nearest to r? (a) g (b) l (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132\/1122 - (-33078)\/68*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**3\/7 - 13*z**2\/7 + 73*z\/7 + 85\/7 = 0. What is z?\nAnswer: -17, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -3\/4, -0.04, 1, 24 in increasing order.\nAnswer: -3\/4, -0.04, 1\/7, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-12 - (54 + -10)) + 19.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 4*k + 2. Let a be j(-3). Suppose 0 = 4*i - 5*f + 1, 0 = i + f + 1 - 3. Let v = -0.03 + -2.97. What is the nearest to i in v, a, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*h + 1 = -1, -3*h - 6 = -4*w. Suppose -7 = -5*d + 8. Solve -4 + 16 = -w*b - d*v, v = b - 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -173, -725, -1665, -2999, -4733, -6873, -9425, -12395?\n\"Answer: -y**3 - 188*y**2 + 19*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 8:31 PM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -50 - (0 + -3) - 1. Let t = -44 - w. Find the third derivative of -19*q**2 + q**2 - 10*q**4 - 3*q**t wrt q.\nAnswer: -312*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 689612 and 492580.\nAnswer: 3448060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 41. Let u be x(25). Find the third derivative of u - 11*k**3 + 34*k**3 - 17*k**2 - 16 wrt k.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 2.545.\nAnswer: 7.545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/4 in -8\/9, -0.1, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 674835 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5619171.\nAnswer: 3, 1873057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + 7*d - 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -1380\/5017?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 352211?\nAnswer: 3\/352211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + a**2 + 2*a**2)*(4 - 4 + 2)*(a + 10*a - a).\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*f**5 + 2212*f**3 + 5322*f?\nAnswer: 160*f**3 + 13272*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80332 and 20216?\nAnswer: 3052616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 201 = 5*o, 3*o - 90 = o - 2*w. What are the prime factors of o?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2794 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*p + 13*p + 1107. Let s = p + -253. Does 29 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -4.06\nAnswer: -4.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 4:17 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 10. Let j(b) = 8*b**3 + 20. Let u(c) = 3*c**3 + 7. Let s(m) = q*j(m) + 17*u(m). What is the derivative of s(x) wrt x?\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j**3 + 19*j**2 - 18*j + 210. Calculate s(9).\nAnswer: -600","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 60*b - 3968. What is the greatest common divisor of b and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 - 1)*(5*g**2 - 3*g**2 - 3*g**2) - 509*g + 509*g + 33*g**2 in the form y + w*g + p*g**2 and give p.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27728 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + n**2 + 2*n + 111. Let l be r(-5). Solve 0 = -2*t - 8, -3*d + l = 2*t for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**5\/60 - d**4\/3 + 3*d**3\/2 - d**2 + 4*d. Factor l(p).\nAnswer: -(p - 1)*(p + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1286991 - 171?\nAnswer: -1287052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 99343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -2) + 4 + -3. Let p = 3 + 37. Let o be (8\/(-20))\/((-4)\/p). Solve -n*f - 4 = -o*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.50224 and -184.\nAnswer: 92.41216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27884147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 2. Let m(b) = 209*b**2 - 4. Let z(v) = 210*v**2 - 5. Let t(s) = p*m(s) - 3*z(s). Is t(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -96326 - -16760669\/174. Let w = r + -1\/58. Let i = -13 + 12.98. Sort 0.5, i, w in decreasing order.\nAnswer: 0.5, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from famafaaaaaammmaa. Give prob of picking 4 a.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qyyam. What is prob of picking 1 y and 1 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n**2 - 3*n - 3. Let i(x) = x. Let w(a) = a + 3. Let c(p) = 6*i(p) - 3*w(p). Let d be c(4). Does 11 divide o(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*i + 24*i + 72 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 466 equal to 459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 2*i + 40967, -40963 = 13*d - 18*d + 3*i. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 1 = -0. Let h = -8689\/6 - -1452. Let b = h - 10\/3. What is the closest to -1 in b, 1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g*(g*g*g**(-2\/3)*g)\/g)**(-33)*g**(2\/5)*g**(2\/3))\/(((g*g**2)\/(g\/g**(-5\/4)))\/(g**(-2\/13)*g**(-2\/9))) assuming g is positive.\nAnswer: g**(-334759\/2340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -122.87489 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 76 + -46. Solve -l + 0 + 4 = 4*d, 5*l = 5*d - s for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*r - h - 38, r + 5 = -19*h + 22*h for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*b - 5 + 15 = 0, -4*s = 3*b + 15. Let a be s\/(4\/2) - 2. Let f = a - -1. Let m(y) = 8*y**3 + y + 1. Give m(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/4 of a milligram in micrograms?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Sort 1269, -3, -3626, 3 in decreasing order.\nAnswer: 1269, 3, -3, -3626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**3\/7 + 46*s**2 - 13120*s\/7 + 12800\/7 = 0?\nAnswer: 1, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -115\/2? (a) 0.05 (b) 2\/9 (c) -0.2 (d) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d**3 + 2*d**3 + 4 - 11*d**3.\nAnswer: -d**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (83\/(170316\/24))\/(2*3\/54).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z = 60, 745*q + 14 = 744*q - 2*z for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114206 is divided by 3803?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2603 + 0.0603. Which is the closest to n? (a) 0.1 (b) 0.2 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28063071373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.15 + 0.35. Let g be ((-7)\/(-84))\/((-9)\/(-108)). Let p = -5.2 - 1.8. Sort 0, p, g, t in ascending order.\nAnswer: p, 0, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2844 - -1.237985495.\nAnswer: -2842.762014505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3548, -3547, -3546, -3545, -3544?\nAnswer: -3543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3581?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sah when three letters picked without replacement from hfhshshhssshfhhhhhaa.\nAnswer: 11\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3874103, -3874097, -3874093, -3874085, -3874067?\nAnswer: -3874033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 12*p. Let u(r) = -288859*r. Calculate g(u(b)).\nAnswer: -3466308*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11969 is divided by 74.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c + 18. Let z(x) = 4*x - 36. Let q(v) = -11*i(v) - 6*z(v). What is the derivative of q(d) wrt d?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(512) - sqrt(512)*5 - sqrt(512)).\nAnswer: -sqrt(17)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -207 - -879. Does 42 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 5) to base 12\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 29 = -32*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1176 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-5 - 68\/(-12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -383 - -628. Let k be (546\/35 - -4)\/((-320)\/(-4000)). Is l greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r**4 - 342695*r**3 - 7760058075*r**2 - 56444990177125*r + 36470893352052500 = 0. What is r?\nAnswer: -23045, 596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, b: 1, x: 2}. What is prob of picking 2 i?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 3. Let n(z) = -3*z - 4*z + 0*z. Let u be n(-3). What is the highest common factor of y and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 338947907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 9*f**2 + f - 1. Let l = 18 - 24. Let n be l\/15 + ((-68)\/(-20) - 2). Calculate z(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (38 + -17) - (1 + -21).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**3 + 5*l**2 - 7*l + 30. Let k be v(-8). Let i = k + 43. What are the prime factors of i?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-15)\/50)\/((-12)\/(-10)))\/((-734)\/85144)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 7*l**2 - 2*l + 3. Let w be d(7). Let y(m) = 22 - 22 - 9 - m. Calculate the lowest common multiple of 2 and y(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 98*w - 134*w - 128*w - 74 - 379 wrt w?\nAnswer: -164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*t**2 + 70*t**2 - 34*t**2.\nAnswer: 52*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 158029311 to the nearest integer?\nAnswer: 12571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -2, 3\/4, -1\/267, -4?\nAnswer: -1\/267","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**5*m - 22*f**5 + 2*f**3*m - 2*f*m - 3*f + 69 wrt f.\nAnswer: 20*f**3*m - 440*f**3 + 12*f*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 194 - 146 = 0. Calculate the remainder when 18 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21232461 divided by 2\nAnswer: 21232461\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18 - (-5 - (-101961)\/(-7722)) and 79\/30.\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2158 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q. Let u be i(-3). Suppose 10 = u*s - s. Find the second derivative of 14*w**5 - 17*w**s + 0*w + 2*w wrt w.\nAnswer: -60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 386356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2432)\/(-96)*(-570)\/(-5). Let l be u\/456 - 4*1. Find t, given that -1\/3*t**4 + 13\/3*t**2 + 5\/3*t**3 + l*t + 0 = 0.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 51 = 2*m + 127, -2*o - 3*m = -66. What is the remainder when o is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -1, -6, 0, 1 in decreasing order.\nAnswer: 5, 3, 1, 0, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -68743*q**2 - 445285*q.\nAnswer: -137486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/16 and 15\/(-18)*(-153)\/(-170)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qiqqqqqqqqiqqqqqqiqq. Give prob of sequence qqq.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 34*f - 281. Suppose -o = -3*j + 3, -3*o - 7*j - 65 = -2*j. Calculate p(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -63*n**5\/2 + 19*n**3\/6 - 19*n**2\/2 - 180*n. Find the second derivative of r(o) wrt o.\nAnswer: -3780*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/8))**(-40)\/(d**17\/d*d)**(-1\/75) assuming d is positive.\nAnswer: d**(392\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/5*(-530)\/159 - 21?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8565402500 to the nearest 1000000.\nAnswer: 8565000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 + 5*p**2 + 1807*p**3 - 13706*p + 27414*p - 13711*p.\nAnswer: 1807*p**3 - 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -397\/5 + 2819\/35. Let o be -2 - (-38)\/18 - (35 - 4396\/126). Factor -s*i - 2\/7*i**2 + o.\nAnswer: -2*i*(i + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67344732 by -3276.\nAnswer: -20557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.01 plus 10.7?\nAnswer: -13.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43953 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23521 - 16019 = -1004*p + 6644 for p.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1145\/2)\/((-22)\/(-44))?\nAnswer: 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (588*x**2 + 1382*x - 1382*x)*(0 + 5 - 3).\nAnswer: 1176*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 318 + -317.87. Which is bigger: 7 or c?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 3*y**2 - 4*y + 1. Let a(m) = m**2 + m - 1. Let b(d) = 2*a(d) + w(d). What is the units digit of b(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 0*h**2 + 101 + 0*h**3 - 109\/4*h**4 + 21*h. Differentiate a(w) with respect to w.\nAnswer: -327*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 5:52 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 0.050568955609386\nAnswer: -3.050568955609386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-nine halves of a millimeter in micrometers?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 56 - 176 - 2*g**4 + 10*g + 2*g**2 - g**3 + 61 - 4*g**2 + 52 as j + t*g**3 + o*g**4 + b*g**2 + y*g and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of i**6\/24 - 66*i**5 + 43560*i**4 - 15333120*i**3 - 4*i**2 + 26. Factor u(w).\nAnswer: 5*(w - 264)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133484 divided by 40?\nAnswer: -33371\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (20 - -16) + -7 + -37\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 259665 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -15*p - 5. Let z(i) = 2*i**2. Determine r(z(q)).\nAnswer: -30*q**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.17 (b) 8\/27 (c) -3\/5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23*d**2 + 7*d**2 - d**4 + 0*d**4 + 8*d**3.\nAnswer: -d**2*(d - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3777001 is divided by 3217?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36575?\nAnswer: 5, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -22 times -12823\nAnswer: 282106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 929601313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 f when three letters picked without replacement from {v: 8, b: 5, f: 7}.\nAnswer: 49\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1599*q - 1083*q = 1007*q - 12275 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - v + 1. Let x = 58 - 59. Let n(o) = -8*o**2 - 2*o + 2. Determine x*n(d) + 2*l(d).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 6. Let f = 0 + -2. Let t = 0 + f. Put y, t, -2\/5 in decreasing order.\nAnswer: y, -2\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 4 + 2. Let p be ((-48)\/15)\/(j\/(-10)). Solve 4*v + 0*v = -p for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.7831 - 2222.2531. Let j = w - -2175. What is j rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jinn when four letters picked without replacement from rrinrripbnjjinprrr.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 11. Suppose 0*x - 4 = 4*p - 4*x, b*x = 5. Suppose -3*w - 5*l + l + 150 = p, 5*l = 0. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + -5)\/(3\/1044). Let a = 1186 + l. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0638 * -0.37\nAnswer: -0.023606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -u**4\/12 - 2*u**3\/3 - 5*u**2 + 2061*u. Determine v(-13).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3365280 divided by 35424.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 3 - (-8 + 10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 139532 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -14*q**3 - q**2 - 26*q - 3. Let o(t) = 15*t**3 + 23*t + 2. Determine 3*o(p) + 2*s(p).\nAnswer: 17*p**3 - 2*p**2 + 17*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - 360\/(-18))\/(-10).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*t - 7*t - 2 + 13*t + 14*t as h + x*t and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-928)\/754)\/(31\/(-806))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 + 44. Let u(r) = r. Let f(p) = -3*p. Let w(q) = a*f(q) + 8*u(q). Let x(k) = k. What is x(w(c))?\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11825562 divided by 3\nAnswer: -3941854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 + -19. Suppose u = 8*o - 3*o. Let t = 9 - o. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -5*o - 560. Let w = 116 + o. Determine d so that -6*d**3 + 3\/2*d - 3\/4*d**2 + 0 - 15\/4*d**w = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -101.73?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2770706 is divided by 6414.\nAnswer: 6272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2180.587 + -0.587. Let h = v - 2179.9997982. What is h rounded to five dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 537967?\nAnswer: 71, 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 4*p - 5. Let s be x(5). Let l(k) be the second derivative of s - k + 0*k**2 - 1\/6*k**3. Let o(g) = -2*g**2. Give o(l(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*n**4 + 45*n**4 + 70*n**4 + (-4 + 4 + n**2)*(-3*n**2 + 5*n**2 - 3*n**2) + 0*n**3 + 2*n**4 + 0*n**3 + n - n + 2*n**4.\nAnswer: 105*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 1 = g - k, -9 = 3*k. Calculate the smallest common multiple of 18 and 0 - (g + 1 + 4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 76 + -33. Calculate the remainder when f is divided by 222\/15 + 1\/5.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-6)*3*-1. What is the common denominator of 25\/3 and (a - 21)\/(8\/9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 j when two letters picked without replacement from vivaviijjiiiv?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**25\/m)**(-20) assuming m is positive.\nAnswer: m**(-480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2. Suppose 3*k + 3*r - 168 = 0, -k - 2*k + 163 = -2*r. Let q(d) = 21*d + k - 55. What is q(f(t))?\nAnswer: -42*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 2*h + 3. Let w(x) = -x. Let j(o) = 4*o. Let t(z) = 2*j(z) + 9*w(z). Let v be t(3). Determine f(v).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 38.5 and -0.2.\nAnswer: -7.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 10:03 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194260191.\nAnswer: 3, 739, 87623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 14 = 4*c, 5*c - 2*y - 6 = -2. Solve -6 = 2*f - t, 3*t = -c*f + 6 + 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/(-120) + 252\/(-135). Let t(q) = -5*q**2 - 2*q - 4. Let v(s) = 11*s**2 + 3*s + 9. Let z(a) = -5*t(a) - 2*v(a). Determine z(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwddww. Give prob of picking 1 w and 1 d.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -221291 at least -221325?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -180 - 2*k**2 + 85 + 2*k + 94 - 6*k + 35*k - 46*k**3 to q*k**3 + g*k + u + d*k**2 and give q.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 6*q**2 + 1. Let a(x) = -x + 1. What is the lowest common multiple of h(-1) and a(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110761 divided by 15823\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -403 = -3*y + 80. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 32 = 2*s, z = 2*s - 16 - 15. Calculate the smallest common multiple of (42\/s + -1)\/((-30)\/(-100)) and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9438 and 750633?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -3*p + 11, -n - 2*n + 9 = 3*p. Let b be 82\/4 - n\/(-4). Determine k, given that -3 - 3*k - b*k**2 - 3 + 24*k**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 1759*x - 46098. Give h(26).\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 + (-2 - 1) + 0 + 2. Let j(m) = -m. Let a(r) = -r. Calculate z*j(q) - 5*a(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5101986 divided by -11\nAnswer: -5101986\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*c + 65*c - 1162 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 13. Calculate the remainder when h(6) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 383048198, 383048195, 383048190, 383048183, 383048174, 383048163?\n\"Answer: -q**2 + 383048199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 5*r - 8*r + 3*u, 2*u = -6 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 20. Suppose -6*r + 30 = -z*r. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 divided by 159\nAnswer: 25\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/3582 and -155\/8358.\nAnswer: 25074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -158 - e?\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, -4, -0.04, 0.3, -13, -0.145?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -468?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 1 - 2 = 0. Let r be -1*(-2 + z - 6). Solve -3*q = 5*k + 12, r*k + 11 = -2*q + 3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123539661092 less than 0.3?\nAnswer: -123539661091.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/427 and -71\/3?\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30959, -30960, -30961, -30962?\nAnswer: -30963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 9*s**2 + 16*s + 6. Calculate d(10).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -4 - -3 - -6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)\/(q*q**(2\/7)))\/(((q\/(q\/q**(7\/3)))\/q*q)\/(q**(-4)\/q)) assuming q is positive.\nAnswer: q**(-202\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.075 - -2076.88763\nAnswer: 2076.96263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*q, 32 = 3*i - q - 3*q. Suppose -i*z = 73 - 13. What is the hundreds digit of z\/(-20) + 2484\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121179 - 3.1\nAnswer: -121182.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -3. Suppose -j = 5*g - 16, 0*j + j - l*g - 25 = 0. Let y = -12 - -25. Calculate the remainder when j is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (14\/(-7))\/2 - -4. Find the third derivative of 68*c**4 - 3*c - 95*c**2 + 9*c**4 + c**5 + o*c wrt c.\nAnswer: 60*c**2 + 1848*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(1*(18\/(-9))\/2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33681440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 0*t**2 - 3*t**2 + 4*t**3 + t - 3*t**3 + 1. Let m(x) = 5*x + 4. Let s be m(4). Suppose -4*b - 6*f = -2*f - s, -3*b - 2*f + 14 = 0. Calculate l(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 70\/2*((-56)\/(-35) - 1). Suppose -b = 54*i - 47*i. Sort 3\/2, 3, i in descending order.\nAnswer: 3, 3\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64507?\nAnswer: 251, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -142, -329, -518, -709, -902?\nAnswer: -1097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -35*f**2\/6 + 108175*f\/6 + 15455\/3 = 0.\nAnswer: -2\/7, 3091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/56 or -21\/5899?\nAnswer: -21\/5899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00341093 rounded to 4 decimal places?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 + 4*x + 5. Let d be v(-2). Suppose w = -p + 3*p - 13, 0 = 4*w + d*p + 26. Let q = w - -19. Solve 5 = -j + q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**4 + 1101*l**3 - 78594*l**2 - 9379584*l - 189477792 = 0.\nAnswer: -413, -36, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2 + 6*c + 6. Let l(k) = 4*k**2 + 13*k + 13. Let w(u) = 6*l(u) - 13*q(u). Let n(y) = 5*y**2. What is w(n(v))?\nAnswer: -50*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t = 12 - 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 3, -0.4, 0, -40 in ascending order.\nAnswer: -40, -2\/3, -0.4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-28) + -1)*-7. Which is the third smallest value? (a) 3\/4 (b) t (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - 23.012. Let x = 0.027 - l. Round x to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -64 <= -1334\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -32, -14, 22, 82, 172, 298, 466?\nAnswer: 682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from maauusuutuat. Give prob of sequence tat.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 15 = -2*f. Let n be (-3)\/(f*(-1)\/2). Let a be 4 - (-2 + 10\/n). Is -1 at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -829*p + 2628 with respect to p.\nAnswer: -829","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 4:06 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6309327368 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) - sqrt(32)\/sqrt(4))\/sqrt(4) - (5 + (sqrt(2) - sqrt(32)))**2.\nAnswer: -43 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 - -11)*(3 - 7\/2). Let o(n) be the second derivative of -n**3\/6 - 2*n**2 - 2*n. Let v(l) = 1. What is a*v(u) - o(u)?\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/2*4\/(-3). Solve -3 + 1 = l*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m - 20868 = 2*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 2. Suppose 3*y = b*y + 3. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m**(3\/20)\/m)*m\/(m*m*m\/(m**(7\/3)*m)*m*m) assuming m is positive.\nAnswer: m**(71\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 70125203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0 = 10. Suppose z*f = -7 + 35. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 25*p**2. Let y(s) = -5*s + 4. Let q be y(-4). Let k = 48 - q. Let b(c) = 7*c - k*c + 7*c + 8*c. What is b(d(v))?\nAnswer: -50*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 223541, -11, -0.4.\nAnswer: -11, -0.4, 223541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (-1)\/(1\/23). Let r = -132 - -142. Suppose 1408 = 18*y - r*y. What is the highest common divisor of k and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 604673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**2 - j - 3. Let b(x) = -8*x**2 + 3*x + 8. Let a = 0 - -2. Suppose 3*p - 6 = -l - l, 2*p = -2*l + 10. Let z = l + a. Calculate z*u(i) + 4*b(i).\nAnswer: i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 5*u + 10. Let x be n(3). What is the first derivative of -6*b**2 + 128 - x*b**3 + 24*b - 24*b - 21*b**2 + 73 wrt b?\nAnswer: -12*b**2 - 54*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2170*k - 2098*k + 720 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -0.016, 0.5, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 0 - 2\/11*i**4 - 4\/11*i**3 - 2\/11*i**2 + 0*i = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63920936.\nAnswer: 2, 113, 70709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -10. Suppose -8 = -3*b + 3*l + 7, l = -2*b + k. Suppose b*m = 20 + 4. What is the lowest common multiple of 1 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-25))\/(11502\/2130)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*v - 30 = -42*v. Solve 3*a = -4*z + z - 6, a - 22 = v*z for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l - 53. Let o be j(-11). Suppose -r + o*y + 4 = -0*y, 5*r + 3*y = -45. What is the biggest value in -7, -2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -126 * -185954.\nAnswer: 23430204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + j**2 - j. Let l(p) = -6*p**3 + 12*p - 6. Let o(x) = -5*h(x) - l(x). Suppose -5*k + 3*k + 12 = 0. What is o(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1588\/(-5742) - ((-1884)\/132 - -14). Suppose 5*c - 6 = -1. Which is smaller: c or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/210 - 7616\/833.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.12 - -4.12. Let i(b) = 2*b + 0*b - 5*b**2 - 33*b**3 + 36*b**3 + 3*b**2. Let c be i(1). Sort x, c, 0.2, -5.\nAnswer: -5, 0.2, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2310 and 28523110?\nAnswer: 85569330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/4)\/((-2)\/16). Let t = 9 + y. Suppose s - t*s = -4*r + 24, 4 = -4*s. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.11 - 0.29. What is the second smallest value in q, -2\/7, 0.1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 146, 135, 120, 101, 78, 51?\n\"Answer: -2*v**2 - 5*v + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-96) - 55\/(-8). Let a be (0 + -1)\/((3\/o)\/(-3)). What is the second derivative of 396 + 3*y - 26*y - 396 + a*y**5 wrt y?\nAnswer: 140*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 364 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 5) in base 9?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + k**2 - 3*k**2)*(0*k - 2*k + k) + (-k**2 + 4*k**2 - 2*k**2)*(0 - 2*k + 0) - 126*k**2 + 126*k**2 - 75*k**3 + 3*k**3 + 0*k**3 - k**3.\nAnswer: -73*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-1\/11)*q)**(-1\/5)\/((q*q**33*q)\/q*q**(1\/23)) assuming q is positive.\nAnswer: q**(-43594\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*c + 39*c**3 + 73*c**3 - 191*c**3 + 62*c**3 + 106*c**3 in the form j*c + i + z*c**2 + t*c**3 and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -u**4\/8 - u**3\/6 + u**2\/4 + u\/2 + 7. Let a(b) = 0. Calculate b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - z. Suppose -4*t + t + 3*x = -24, z = -t + 5*x + 16. What is the greatest common factor of 12 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*j + 2*j + 3*d, -3*j + 30 = -d. Suppose j*q - 15*q = -12. Let p be 2*((-4)\/4 - -2). Solve m + 2*t = 0, -m - q*t + 5 = -p*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q. Let t be c(-3). Suppose 0 = -2*g + 2*o + o - 4, 3*g + t*o = 9. Is g + -87*(-4)\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 10*n**2 + 7*n - 13. Calculate the lowest common multiple of 22 and a(3).\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 305.0697cm to millimeters.\nAnswer: 3050.697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-576 - -567) + (1 - (13 + 1)) - (9 + -20)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.1 (b) -26\/17 (c) 19.14 (d) 2\/5 (e) -7 (f) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 590357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*a + 12. Suppose -4*l - 4*g - 4 = -20, 4*l = g + 6. What is the third derivative of b**a + b**5 - 4*b**5 - 2*b**l wrt b?\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h + 1. Let p(t) = -31*t + 6. Calculate 6*b(o) - p(o).\nAnswer: 37*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/(-6))\/5 + 3164\/6. Let d be 2 + 2 + (c - 0). Suppose 5*x + 2*n = d, x - 2*n - 99 = -0*n. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -7488*c - 344. What are the prime factors of p(-3)?\nAnswer: 2, 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 2\/11, 6\/29, -1\/4, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36590 = -7*k + 17*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, r: 2, a: 1, m: 7, c: 4}. Give prob of picking 1 c, 1 a, and 1 r.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-217)\/(-3) - (-4)\/6. Suppose 3*s - s + 110 = 5*g, -2*g - 5*s + l = 0. Calculate the highest common divisor of g and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -603.4 and -0.7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*k + 30 = 133*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 447241*z = 447091*z + 6450 for z.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, o: 2}. What is prob of picking 2 x?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, p: 3, g: 2}. Give prob of sequence gp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c - 12. Let m be d(5). Let i = m - -15. Let q be (i - 6)\/(4\/(-6)). Is -3 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 - 2. Is 24 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29.3 + -6.3. Let g = -22 + s. Put 4, g, -1, 0 in increasing order.\nAnswer: -1, 0, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.1 (c) 0.01704\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1475, 3746, 6017, 8288, 10559?\n\"Answer: 2271*a - 796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20412)\/9639*(3\/((-6)\/(-2)))\/2?\nAnswer: -18\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*x + 26 = 7, -3*p = -3*x - 66. Let v = p - 12. Suppose 5*s + 2*n - 6 = v, -20 = s + 5*n. Solve 3*b - 8 + s = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 70*z**2 - 4*z - 12. Is 7 a factor of g(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 + -1. Let n = z - -0.3. Suppose -4 = q + q. Which is the third biggest value? (a) q (b) n (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 6*u**2 + 5*u + 2. Let z be o(5). Suppose v - 1 - 5 = -4*a, 0 = -z*a. Find the third derivative of -2*p**v + p**2 + 0*p**2 + 0*p**2 wrt p.\nAnswer: -240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0255*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/7)\/(r**(3\/4)\/r))**(-42))**(-8) assuming r is positive.\nAnswer: r**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -105*t + 159*t + 864 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -8\/29 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 h, and 1 l when three letters picked without replacement from fiigtlifhlhlil?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45099*q - 13142*q - 21142*q to the form d + y*q and give y.\nAnswer: 10815","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/32 and -43\/92?\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 7*d**2 + 36*d + 114. Does 15 divide f(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3057074 divided by -2\nAnswer: 1528537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 899255*r**3 + 154671858*r**2 + 6650889636*r - 14792 = 0. Calculate r.\nAnswer: -86, 2\/899255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 63*n - 125. Determine t(-5).\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31\/3*135\/(0 + 9) is divided by 37?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/3 - 7\/21*-17. Suppose -p + 9 + q = 0. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.17, -1, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -9*w**2 - 36*w - 12. Let d be k(-16). Suppose -l - d = 3*l. What is l rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000819744 to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**3\/6 - 9*b**2. Let d(f) = -49*f - 7. Let v(l) = -d(l) - 5*z(l). Is v(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1730 + -2?\nAnswer: 172a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1536) - (sqrt(1536) + -2*sqrt(1536))) + sqrt(1536))*-4 + sqrt(1536))\/(sqrt(64)\/(1*sqrt(200))).\nAnswer: -440*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -17 (c) 4 (d) -3 (e) 18\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1100) + -1 + sqrt(176) + -5) + sqrt(1584) + 1*(sqrt(1584) + 1 + sqrt(1584)) + 5)**2 + 2.\nAnswer: 27502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41.4 - -33.\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10423593 to the power of 1\/2, to the nearest integer?\nAnswer: 3229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 0. Suppose -2*c = -u + 11, -4 + 17 = 2*u - c. What is the smallest value in 0, t, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 715 is divided by 102.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1630297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 138 and 146004?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 325141*r**3 - 2*r**2 - r - 120603 wrt r.\nAnswer: 1950846*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -7*c**3\/3 - 217*c**2\/2 - 8*c + 12. Is j(-32) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 26*n + 46. Let k be c(9). Let r = -32 + k. Is r a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u + 16 = 31*u + 16 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 1142 + 1214 = 0 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**2 + 2*t**2 - 6*t**2 + (4*t - t - t)*(3*t - 9 + 9) - 5395*t + 5395*t + 197*t**2.\nAnswer: 201*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*b**3*f*u**2 + 5*b**3*f*u - b**3*f - 2*b**2*f*u + 2*b**2 + b*f*u**2 - b*u**2 wrt b?\nAnswer: -30*f*u**2 + 30*f*u - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*t + 2*g - 9, -t - 2 = -4*g. Let p be (-8)\/t - 1*-3. Let u = 3 + -3. Is p >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2. Let o = 409 + -404. Let v(z) be the third derivative of 0*z**4 - 6*z**2 + 0 + 0*z + 0*z**3 + 1\/20*z**o. What is v(a(r))?\nAnswer: 3*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5166311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -140.1 = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/1249?\nAnswer: 2\/1249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 625 + -569. Is 5909\/(4\/(-6)*(-84)\/m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 99 + 41 = 0. Calculate the highest common factor of j and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l*l**(-13)))\/(l\/(l*l\/(l**13\/l))*l*l*l))\/(l**(-4)\/(l**(-2\/3)\/l)) assuming l is positive.\nAnswer: l**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/((-6237)\/165))\/((-20)\/8)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*f + 8 = -0, -2 = -2*f. Let d be ((-2)\/j - 3) + 4. Let n be (-50)\/(-8) - 1\/4. Solve n = -d*m + m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + 19 - (-4 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268915570?\nAnswer: 2, 5, 7, 11, 349241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + (-5)\/15)\/(-130)*(-1997 + 1994).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 5)*(-2*k - 2*k**3 + k**3 + 5*k) - 142*k**3 - 679*k + 144*k**3 - 28*k.\nAnswer: -3*k**3 - 692*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -8*d - 70. What is the tens digit of l(-22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*t - 1103 = -1732 - 4600 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4*t + 80 = 976, 10 = 2*t. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 - 125. Let w = v - -509\/7. Sort 3, -0.4, w.\nAnswer: -0.4, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v**3 - 208*v + 208*v + 21*v**3.\nAnswer: 32*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*q**3 + 24*q**2 + 4 - 9 - 11*q**3 + 2 to the form a*q + m*q**2 + w*q**3 + d and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -32*q**7\/7 - 26*q**3\/3 + 66. Find the third derivative of m(o) wrt o.\nAnswer: -3840*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/2 + 5 + -8. Let r be (-39)\/(-156)*(2 - c). Solve 3*p - y + 11 - 22 = r, -5*p = 2*y - 22 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a day in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3712, 17716, 42014, 76606, 121492, 176672?\nAnswer: 242146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/4*24\/(-28). Find the first derivative of l**3 - 2*l**3 - 3 - m*l**3 + 5*l**3 wrt l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*x**3 + 2*x**2 + 31*x**3 - x**2 + 5*x to l*x**3 + v + c*x + f*x**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2594*m**3 + 4*m + 510?\nAnswer: -15564*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 24567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 35763000 to the nearest one hundred thousand.\nAnswer: 35800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1\/2))**(-49))**5\/(((z*z**(2\/13))\/z*z)\/z*z**(-1\/3)*(z*z**(-1)*z)**(-4\/5)) assuming z is positive.\nAnswer: z**(-47393\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 878*y**2*z**4 - 5*y**2*z**2 - 118*y*z**4 + 27*y*z - 392*y + 2*z**4 - 2 wrt z?\nAnswer: 21072*y**2*z - 2832*y*z + 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5447 is divided by 1086?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k + 2*k**4 + 3*k + (4*k + 0*k - 2*k)*(2*k**3 - 2*k**3 - k**3) - 2*k**4 - 2*k**4 + 5*k**4 + 2*k**2 - 2*k**2 + 2*k**4 - 1 - k**4 + 1.\nAnswer: 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5106426*g**5 + 3*g**4*n**2 - 19207*g*n**2 + 69*g*n wrt g?\nAnswer: 102128520*g**3 + 36*g**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -304 - -1134400?\nAnswer: 1134041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, x: 11, g: 6}. What is prob of sequence xgn?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 9:34 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*u**5 - 655*u**3 - 4*u - 983.\nAnswer: 120*u**3 - 3930*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*k**6 + 196*k**3 + 115*k**2 + 318?\nAnswer: -4320*k**3 + 1176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1145116 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(784) + sqrt(784))\/(sqrt(48)\/(sqrt(6)*-2)) + -3.\nAnswer: -3 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 1026225 + 293775 = 0. What is m rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 1:25 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 183*v**2 + 158*v**2 + 10.\nAnswer: -25*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 3*l)*(-19*l + 2*l - 3*l) + (2*l + 0*l + 0*l)*(2*l + 3 - 3) to the form h*l + a*l**2 + o and give a.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**4\/3 - 19*u**3\/3 + 10*u**2 + 192*u + 288 = 0. Calculate u.\nAnswer: -3, -2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-5*(-3 + sqrt(2268) + -4)*-5*4)**2*3.\nAnswer: -7560000*sqrt(7) + 69510001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n - n**3 + 0*n + 3383438*n**2 + 24*n**3 - 98 - 3383438*n**2 + (5 - 5 - 3)*(n**3 - n**3 - n**3) as a*n**2 + u*n**3 + f + s*n and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 225 and 91305.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a14 (base 12) in base 6?\nAnswer: 22424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1523214 (base 6) to base 2.\nAnswer: 10101101100011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*r - 31614 - 1087*r + 31614 - 371*r.\nAnswer: -1325*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25\/2*f**2 - 1\/2 + 101\/4*f.\nAnswer: -(f - 2)*(50*f - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5337480607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-4\/7)*c*c)\/(c*c**(-4)))**28 assuming c is positive.\nAnswer: c**124","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 2896.\nAnswer: 14480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -122?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(19) - sqrt(76))**2 + ((1 + sqrt(19))*6)**2.\nAnswer: 72*sqrt(19) + 739","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 637419152 to the nearest integer?\nAnswer: 25247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/4 and 67\/38652.\nAnswer: 38652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7060808064.\nAnswer: 2, 3, 18387521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 18 = -2*t, -f + 5 = -6*f + 3*t. Suppose -4*s - 24 = 2*c + f*c, -5*s - 40 = -5*c. Is s <= -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*y = -4, -2*y = -5*h - 6*y. Let n be (1\/(-2))\/(h\/96). Let j = 21 - n. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16943\/3 + -5221. Let u = v + -426. Let k = 4.4 - 5. Put -2\/5, u, k, 0.3 in descending order.\nAnswer: u, 0.3, -2\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -285 - 17. Let w = c + 855. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 11:28 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 67822999 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: Suppose 0 = 15*p - 16*p - 25236766. Let f = p + 45136766. What is f rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29*(-33)\/2871*18\/(-4)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -100 + -50. Let y = 9.95 + -146.15. Let s = y - m. Round s to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**3 - 10*m**2 - 12*m - 3. Does 18 divide h(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 15*w + 34. Calculate q(10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001101011001000 + 11010010?\nAnswer: 10001101110011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 33 - 12*b**2 + 10*b**2 - 6*b**2 + 9*b**2.\nAnswer: b**2 - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + x - 168. Let b = 50 + x. Let k be (-2)\/b*-4 - 2*1. What is k rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -503 divided by -1.\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -122918 * 1472\nAnswer: -180935296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -296 + 297. What is the hundreds digit of 3*(-209)\/171*(-258)\/d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**2 + 114*n - 6*n - 6 + 230*n - n**2.\nAnswer: 3*n**2 + 338*n - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 2*t. Suppose 0 = 11*j - 5*j + 3*j. Calculate z(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (16\/(-366))\/(4\/42). Let l = h + -4285\/366. What is the common denominator of 137\/12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (11 + 572\/(-55))\/(6\/5)*1. Solve -1\/2*h - o*h**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*l**5 + l - 5*l**5 + 5*l**5 wrt l?\nAnswer: 100*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225195900 rounded to the nearest one million?\nAnswer: 225000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -587631 - -16858545757\/28689. Let q = m - -965875\/172134. Calculate the common denominator of -93\/2 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111073 is divided by 74?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147 + 177 - 76*p - 331 + 5*p**2.\nAnswer: 5*p**2 - 76*p - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -154354 + -4?\nAnswer: -154358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 950819.2km?\nAnswer: 950819200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-one quarters of a hour?\nAnswer: 18900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 6*t - 4. Let w be h(-5). Let d = 1.9 - 1.6. What is the nearest to w in d, 0.4, -3\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 0 + 1\/8*t**4 + 1\/3*t**3 + 0*t - 247*t**2. Let r(b) = b - 1. Give -3*r(v) - s(v).\nAnswer: -6*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 2*w**2 + 10*w + 9. Let f be d(-6). Suppose -4*a + 5*u = -459, 3*a - u = a + f. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**5 + 4*t**5 + 4*t**5 - 16*t**4 + 5*t**5 + 16*t**4 + (1 + 2*t - 1)*(-3*t**4 + 2*t**4 + 4*t**4).\nAnswer: 16*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1389738 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 1:38 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3766202849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = o - 22. Suppose -2*i + 4*n = -34, -o - 1 = -5*n. Calculate the remainder when i is divided by (-2)\/7 + (-300)\/(-21).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*p + 67 = -0*p, -131 = -5*x - 3*p. Let h = 42 - x. Suppose -h = -s + 23. Is s a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14222659*p**5 - 7270*p - 1317 wrt p?\nAnswer: -284453180*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or -2.89735?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/28477764 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 995 = -5*w, 3*o = w + 6*o - 203. Calculate the greatest common factor of w and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 185518 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**5 + u**5 - 2*u**5)*(-5 + 1 + 0).\nAnswer: -16*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**26)\/n*n*n*n)\/n)\/(n\/(n*n\/(n\/n**(-7\/4)))))\/((n**24*n*n)\/n*n)**(-2\/55) assuming n is positive.\nAnswer: n**(5983\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -11*t**4\/24 - t**2. Let d(a) be the third derivative of a**4\/12 - 10*a**2 - 7. Give r(d(s)).\nAnswer: -22*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12531964, -12531960, -12531956, -12531952?\n\"Answer: 4*j - 12531968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401 is divided by 146?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 2*i**2 + 3. Suppose -4*p = 28, 117 - 70 = 4*m - 5*p. Let d(n) = 2*n**3 + 3*n**2 + 4. Let h be 1\/2*-2 - 1. What is h*d(r) + m*c(r)?\nAnswer: -r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffffn. Give prob of picking 3 f.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1890, 3673, 5264, 6567, 7486?\nAnswer: 7925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 + 14*s. Let c(m) = -m**2 - 5*m. Let h be 8\/(-24) - (-14)\/6. Let k be ((32 - 4) + 2 + -2)\/h. Give k*c(r) + 5*j(r).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 866 = -970. What is the smallest common multiple of y and 323?\nAnswer: 2907","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from {c: 5, o: 3, s: 1, n: 6, e: 3, t: 2}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 2*u + 24. Suppose -5*d = -u*d + 12. What is the smallest common multiple of 10 and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/3*(-3)\/2. Let x = 288 + -286. What is the greatest common divisor of k and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o - 52 - 179 - 170 + 407.\nAnswer: -6*o + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/(-12) + -5 - 255\/(-150)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18970 - 360092\/19. Let m = t + -19243\/1102. What is the common denominator of ((-1 - -2) + 1)*(-5607)\/(-2772) and m?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11)\/((-44)\/(-320)) + 3. Let j = 238 + p. What are the prime factors of j?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8272 divided by 25.\nAnswer: -8272\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6876.3 - 7075. Round u to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, 2, -13278591.\nAnswer: -13278591, -7, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 - -165. Is 3\/6 - s\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + s**2 + 2*s - 6. Let k(i) = i**3 + i**2 + 3*i - 6. Calculate -3*d(m) + 2*k(m).\nAnswer: -m**3 - m**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.5529882 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) 1.2 (c) -0.9 (d) 4\/5 (e) 8\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 10*f**2 + 18*f + 88. Calculate the lowest common multiple of z(-9) and 65.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 151.7*-1786\nAnswer: -270936.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -56050, -56097, -56136, -56161, -56166, -56145?\n\"Answer: k**3 - 2*k**2 - 48*k - 56001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6131 and 2608378771.\nAnswer: 6131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 4035010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.25 - 0.05. Let u = m + -1.2. Suppose 5*j = -24 + 2 - 3. What is the closest to u in j, 0.5, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -25, 4, 11, 2, 0, 34?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s**2 + s - 4. Let b be j(-3). Suppose 4*w - 2*f - b = f, -4*w + 23 = -f. Suppose 42 - 12 = w*v. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4399*u**2 - 197*u**2 + 426*u**2.\nAnswer: 4628*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 11*l - 19. Let v be n(5). Which is greater: v or 9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 878*c - 627*c - 254*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, k: 4}. What is prob of picking 2 b and 1 k?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*c - 3*c**2 + 15*c**3 - 24*c + c**4 - 12*c + 2*c**4 = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -789 (base 12) to base 8.\nAnswer: -2131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 504 = -5*q + 176, 5*q = -3*c + 467. Let z = c - 18. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -52 (c) -2\/13 (d) 0.2 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-140)\/(-175))\/(2\/(-5)). List the prime factors of 7\/(14\/(-124)*-18 + b).\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1258 * -1124.\nAnswer: 1413992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**6\/h)\/(h*(h*h**4)\/h*h))\/(h*h\/(h**(-3\/2)*h)*h)**(6\/11))**(2\/23) assuming h is positive.\nAnswer: h**(-64\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 42092437 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.08 (b) 21 (c) 3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 15 times 0.03764\nAnswer: 0.5646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2 = 5, 3*b - 412 = 2*h. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -5*u + 74. Determine o(9).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1755 and 15191865?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27023, 27081, 27171, 27287, 27423?\nAnswer: 27573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**3 + 15*p**2. Let q(b) = b**3 + b**2. Give 4*q(r) - z(r).\nAnswer: 2*r**3 - 11*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i - 2. Let r = 31 - 26. Let u(d) = -d**2 - d + 3. What is r*q(l) + 3*u(l)?\nAnswer: -3*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -2\/7 (c) 2\/175 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 7. Let z be (-30)\/(-3)*x\/6. Suppose 2*p + z*v - 12 = 3*v, -v = -4. Solve -p*u + f - 7 = 0, -3 = -3*f + 2*f for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*a, m + 3*m - 72 = 2*a. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**3 - 187*i**2 - 96*i + 191. Calculate o(94).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + d + 3, -2*d - 8 = -2. Let i be (-2)\/6 + 20\/6. Suppose -j = 5*n - 81, -2*j + 6*n - i*n + 123 = q. List the prime factors of j.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*h*v + 2548932*h - 200075027*v wrt h?\nAnswer: -4*v + 2548932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 8780.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -22344952, -44689903, -67034854, -89379805, -111724756, -134069707?\n\"Answer: -22344951*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*t + 10*t - 22*t + (4 - 4 - 1)*(6*t + 3*t - 2*t) + 2*t + 2 - 2 + (-1 + 3 + 0)*(-3*t + 5*t + 0*t).\nAnswer: -27*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -479455, -479458, -479471, -479500, -479551, -479630, -479743?\nAnswer: -479896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-63)\/(-84))\/((-2)\/56). Let q be ((-4128)\/i)\/(-2) - 3. Let d = 101 + q. What is the closest to -0.1 in d, 0.1, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45\/2 - 23. What is the second biggest value in -2\/5, 2, d?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 337 divide 1662589837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*f**2 + 63*f**2 + 6*f**2 + 15*f**3 wrt f.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -113?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) + 2 + -5 - sqrt(2736)*-1*4)*-1 - ((sqrt(2736) + 4 - sqrt(2736))*-3 - (4 + -1*sqrt(2736))))**2.\nAnswer: -2736*sqrt(19) + 98857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 5 + 5. Let v(u) = 7*u**2 - u - 2. Let b(w) = 4*w**2 - 3*w + 3. Let j(f) = -f**2 + f - 1. Let d(r) = -b(r) - 3*j(r). Give k*d(p) - v(p).\nAnswer: -2*p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-58038)\/(-476) - (-1)\/14 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 + 25365*s**2 + 3761460*s - 11512800.\nAnswer: 5*(s - 3)*(s + 156)*(s + 4920)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53589282 to the nearest integer?\nAnswer: 7320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 66312879288 less than 0.02?\nAnswer: -66312879287.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 81*t**2 - 81*t**2 + 7*t**4 + 4*t + (4 + 2 - 4)*(0*t**2 + 0*t**2 - 2*t**4) + 3*t**2 - 3*t**2 + t**4 + 0*t - 2*t**4 + 0*t.\nAnswer: 2*t**4 + 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 510800 and 175?\nAnswer: 3575600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 - -1*(-125)\/(-20). Factor -f*w + 1\/4*w**2 - 1\/4 + 1\/4*w**3.\nAnswer: (w - 1)*(w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*u + 370*u + 453*u - 560*u = -49504 for u.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1355 - 281. What is the third biggest value in 0, -1\/5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -977?\nAnswer: 3\/977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14229, 113878, 384353, 911064, 1779421, 3074834, 4882713?\nAnswer: 7288468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2082\/11 - 12481\/66. Let r(u) be the second derivative of 0*u**2 + 0 - f*u**3 - u. Let v(o) = -5*o. Calculate 18*r(s) - 4*v(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/2, 19, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 29751, 19 in ascending order.\nAnswer: -2, 3, 19, 29751","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/((i\/(i*(i*(i\/(i\/i**(3\/7)))\/i*i)\/i)*i*i)\/i))\/i)\/(i\/(i*i\/(i*i\/(i\/i**(2\/11))))*i)*(i**(1\/3)*i)**(-4\/13))**(29\/3))**(1\/17) assuming i is positive.\nAnswer: i**(-188413\/153153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 0*a**2 - 7\/2*a**3 + 1\/6*a**4 + 7*a - 2\/15*a**6 - 1 + 7\/20*a**5. What is the third derivative of j(s) wrt s?\nAnswer: -96*s + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.1 (b) 12\/169 (c) 4 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.067 * -506\nAnswer: -33.902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 2. Find the third derivative of c + 5*c**4 - c + 2*c**z + 2*c**2 wrt c.\nAnswer: 120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuo when three letters picked without replacement from oouooouuooo.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/18*3)\/(-3)*8.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-155 - -127) + (-3 - -8).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 207562967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 1084.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63 + -84. Which is bigger: -23 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37207.26*0.01.\nAnswer: 372.0726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.63, 7, 1\/8 in descending order.\nAnswer: 7, 1\/8, -5.63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/25*(-1)\/2*-5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 88 + -438\/5. Which is the closest to 0.06? (a) 1 (b) 2\/3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 6*v + 10. Let p be l(-5). Suppose -p*m + 2*h = -0*h - 72, 2 = -2*h. Calculate the remainder when (-1*(-1 + 0))\/(4\/136) is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + i = 20. Let h = 3 - 4. What is the nearest to h in -4, -2, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18.1 + -18. Let v = b - 2.6. Let y = 0.3 - v. What is y rounded to 1 decimal place?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 310*m**3*o**2 - m**2*o**2 + 2*m**2 + 6555*m*o**2 wrt m.\nAnswer: 1860*m*o**2 - 2*o**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -6*h - 28. Let j be c(-5). Let m(q) = -7*q**j + q**3 + 9*q**2 - 4*q**2 - 1. Suppose 30 = 6*s - s + 5*a, 5*s + 2*a - 18 = 0. What is m(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 6 = 0, -3*a + 9 = -4*a + 5*f. Let x = 334 + -339. Put x, a, 3 in descending order.\nAnswer: 3, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vjjvjvjjjj. Give prob of sequence vjvv.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (25 + 9*p**3 - 14*p**3 + 2*p**2 - p**3)*(0*p + 5*p + 19*p) as u*p**4 + l*p + f*p**3 + i + b*p**2 and give f.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k*o**3*r**3 - 2*k*o**2*r - 22*k*o*r**3 + o**3*r**2 + 55*o**2*r**2 - o*r**4 wrt r?\nAnswer: 6*k*o**3 - 132*k*o - 24*o*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*n - 11, -2*n + 13 = -n - 2*q. Let k(t) = -n + 1 - 1 + 2 + 9*t**2. Let c be k(1). Calculate the greatest common divisor of c and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 735.964 times -0.029?\nAnswer: -21.342956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -723.328 to the nearest integer.\nAnswer: -723","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 77 or -75?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 12*g**2 + 6*g + 21. Let v(x) = x**3 + 12*x**2 + 7*x + 23. Let h(d) = -4*m(d) + 3*v(d). Determine h(-12).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20803 + -12525. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -67.63 to zero dps.\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 4:38 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.0251*11\nAnswer: -0.2761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -54*h. Let c(q) = 108*q. Calculate -3*c(i) - 7*g(i).\nAnswer: 54*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -2797089469 to the nearest 1000000.\nAnswer: -2797000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -43*i**3 - 34*i**3 + 96*i**3 + (0 + 0 + 3*i)*(2*i**2 - 3*i**2 + 0*i**2).\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/((8\/30*816\/544)\/((-4)\/10))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 5*h - 35, -x + 5*h = -2*x + 23. Suppose 0 = -c - 0 + 5. Let w = c + x. Solve -2*k + w = k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -221 - 169. Let n(p) = -14*p**2 + p - 13*p**2 + 26*p**2 - 6*p + 42. Let t be n(-9). What is the highest common factor of h and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 28 = -3*t, -309*t + 308*t + o = -0*o + 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2745 and 0.7002.\nAnswer: -2744.2998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 divided by -6?\nAnswer: -254\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/624 and 99\/442.\nAnswer: 10608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3137, 6276, 9453, 12686, 15993, 19392, 22901, 26538?\n\"Answer: 3*i**3 + i**2 + 3115*i + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 14*u**2 - 48*u - 31. Determine b(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(-2)\/5*-5. Suppose -2*m + 5 = -2*j - 5*m, n*j - 2*m = 30. List the prime factors of ((-28)\/10)\/((-2)\/j).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, j: 6}. What is prob of picking 2 q?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 0.3, -2\/17, -5, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -18. Suppose 0*s + 36 = h*s. Calculate the greatest common divisor of s and 90.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3466, 27860, 93992, 222706, 434846?\nAnswer: 751256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 160 by 195.\nAnswer: 32\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -43, -64, -99, -148?\n\"Answer: -7*w**2 - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 14745.24 millilitres?\nAnswer: 14.74524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/274 and ((-128)\/16)\/8*218\/20?\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -7*a**2 + 7*a + 9. Let r be b(4). Let x = -55 - r. What is the greatest common factor of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*((o**(2\/3)\/o)\/o)\/o)\/((o*o*o\/o**(-6\/5))\/o) assuming o is positive.\nAnswer: o**(-68\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5442 + 2266?\nAnswer: 11041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -42*g**2 + 2*g**3 + 84*g**2 - 30*g**2.\nAnswer: 2*g**2*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*y - 66*y + 586*y - 66*y - 392*y.\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112015.\nAnswer: 5, 43, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25870*g**2 + 50831*g**2 - 25815*g**2.\nAnswer: -854*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 22. Let r(t) = 5*t**2 - 5*t - 4. Let c(l) = -6*l**2 + 6*l + 5. Determine j*r(m) + 3*c(m).\nAnswer: 2*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**2)**(11\/2)\/(u*(u*u*u**(-3))\/u*u\/(u*(u\/u**(-9))\/u)))**(-1\/24) assuming u is positive.\nAnswer: u**(-7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p = -483 - 413. Calculate the least common multiple of p and 4.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by 595\nAnswer: 13\/595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 c, and 1 t when three letters picked without replacement from lssscshcchststc?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1207486.4 - -0.03\nAnswer: -1207486.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 858*g - 110678. Let h be k(129). Solve 0*p - 16\/5*p**h + 2\/5*p**5 - 36\/5*p**2 + 42\/5*p**3 + 0 = 0.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 1:04 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.5 - -11. Let s = -278 - -257. Let t be s\/(-12) - 9\/12. Which is the closest to t? (a) -6 (b) z (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 92, 81, 66, 47?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 381673714 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 267974579*i**3 + 382086968?\nAnswer: 803923737*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, -79\/8189, 10?\nAnswer: -79\/8189","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -959, 4, -1 in increasing order.\nAnswer: -959, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 3 = 9*k. Let v be (1\/(-5))\/(k\/(-505)). Suppose -v = -4*f + 151. What are the prime factors of f?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 583371785 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 10*a + 21. Let g(h) = 3*h + 6. Let p(m) = -4*d(m) + 14*g(m). Let y(f) = -41*f**2. What is p(y(x))?\nAnswer: -82*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-22)\/(-33) - 22\/6. Suppose -2*t + 5 = 3*t. Let o be (0 - t*-15) + s. Solve -3*p + b - o = 0, 0*b + 16 = -5*p + 3*b for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*k - 2672 + 6972. Is k a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13801.55447 to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*k - k - 2*k)*(0*k - 3*k + 6*k) + (-2*k**2 - 4*k**2 + 13*k**2)*(-2 + 3 + 0) as x + s*k**2 + o*k and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 10:24 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, 16.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 660 and 140520?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4\/5 + 26\/45. Let s = 58\/147 - 3\/49. Which is the third biggest value? (a) n (b) s (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - l - 87 = 67, 0 = 3*l + 6. Suppose -3*r - 4*b + u = -177, 5*b = 20. Let v = -20 + r. What is the remainder when v is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q. Let s be (-5)\/5 + -1 + (3 - 2). Let b(n) = -n**2 + 3*n - 5. Let o be b(0). Let k(v) = -9*v - 2. Give o*z(d) + s*k(d).\nAnswer: 4*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1676.3 and 814.4.\nAnswer: -861.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/2 + 71\/2. Let r = -109 - -115. Suppose r*h = c + 41. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m. Let i(f) = -35*f. Calculate 42*b(w) - 2*i(w).\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -79, -237, -551, -1075, -1863?\nAnswer: -2969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14859 + -14843. Let c(x) = -x**2 + 56. What is the remainder when c(0) is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (441\/(-126))\/((-3731)\/(-78)).\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 261 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f - 1 - 1 + 1 - 3*f. Let b be m(-1). Suppose -39 = -l - b*l. Is 13 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -12*x**2 + 1760*x + 82441. Give l(184).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13443513 (base 6) to base 5.\nAnswer: 104111104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3445*m**3 - 3435*m**3 + m - m.\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence di when two letters picked without replacement from {i: 1, e: 1, u: 3, d: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5*j**3 + 270*j**2 - 6*j + 133. Give c(-54).\nAnswer: 457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 1 + 1 + 11. Let w be 966\/36 + 2\/g. What is the greatest common divisor of w and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 4*m = 8, 2*x + 2*m + 4 = 6*m for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00126876 rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + 1. What is the greatest common factor of s and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 92 by 1767540.\nAnswer: 23\/441885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3295*p**2 + 3299*p**2 + 3296*p**2 + 3299*p**2 - 13190*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1056 + 5*s**2 - 5*s**2 - 160 - 1288*s**3 wrt s?\nAnswer: -3864*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**3 + 36*z**2 - 48*z - 80 = 0. What is z?\nAnswer: -10, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7719 - -7719. Sort 16, 3, -2, y in decreasing order.\nAnswer: 16, 3, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-35 + -1)*3\/(-9). Suppose -12 = -2*a - 2*v, -3*a + 38 = -5*v - b. Calculate the least common multiple of a and 54.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.6*29.29.\nAnswer: 251.894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 5*i**2 + 101*i + 230. Let r be j(-5). Suppose 3*w + 8 - 23 = 0. Sort 1, r, w, -5.\nAnswer: r, -5, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56863926 divided by 4061709?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4200\/(-9) - -2) + (-2)\/6. Round h to the nearest 10.\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/27 in -5, 0.167, 4\/7?\nAnswer: 0.167","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 7424, -2\/11, -3 in decreasing order.\nAnswer: 7424, 3\/4, -2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 12*p = 132. Let o = p + 130. Does 58 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*j**3 - 212*j**3 + 2491*j**3.\nAnswer: 2218*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/4)\/(12\/(-16)). Let j(z) = 38*z**2 + 17*z - 64. Let p be j(3). Let x = 334 - p. Put s, x, 17 in descending order.\nAnswer: 17, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56108 - 17225133\/307. Is 0 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*z - z - 17, -3*z - 3*b - 6 = 0. Let j(a) = -a**2 - 3*a + 1. Let y be j(z). What is the biggest value in -0.5, 0, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -86, -699, -2364, -5609, -10962, -18951, -30104, -44949?\n\"Answer: -88*a**3 + 2*a**2 - 3*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 0.4, 3, -7.6.\nAnswer: -7.6, 0.03, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -m**4 + m**3 + 2*m**2 - 81270*m - 4767593 wrt m?\nAnswer: -4*m**3 + 3*m**2 + 4*m - 81270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 52, 4 in descending order.\nAnswer: 52, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (80\/12 + -6)*48\/(4\/1). Solve -t = -5*m - 2*s, 3*s + 107 = 4*m + 119 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f + f - 4*f)*(0 + 0 - 2*f) + 10 - 5*f**2 - 10 + (0*f - f + 0*f)*(-f + 0*f + 3*f) in the form d*f**2 + n + g*f and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x + 3. Let u be a(3). Let g = -3 - u. Solve b - 21 = 5*i, 0 = 2*i + g*i + 20 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 5 = 5*b + 2*a, 5*a = 2*b - 8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1073496 and 81.\nAnswer: 28984392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8 + 1760 + -3 + (0 - -3). Calculate the highest common divisor of i and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -1. Let x = -257 + 2829\/11. Which is the closest to 1? (a) w (b) 2\/7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2, 35, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -79 - -646. Calculate the remainder when b is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -7*w**2 - w. Suppose -z - z = -2. Suppose 2*r + 4*q = 7*r + 17, q + z = -4*r. Calculate o(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1692462 - 1062462. Suppose 8*n + s = 5*n. Round n to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -14.8.\nAnswer: -1.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 351834909?\nAnswer: 3, 809, 144967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/2 + 293*s\/2 - 594.\nAnswer: (s - 4)*(s + 297)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -218, 26, 228 in ascending order.\nAnswer: -218, 1, 26, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -180 + 179.9. Let l = 169\/396 + -9\/44. What is the nearest to p in -2\/15, l, 3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 + 55. Suppose -c = 3*n - 1580, 3*c + 458 = 2*n - 577. Calculate the remainder when (-39)\/(-104) + n\/8 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 4, 0.1, -0.0868, 0.4, -0.792?\nAnswer: -0.0868","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 584*n**4 - 3*n + n**3 - 586*n**4 + n**2 + 1 + n in the form p*n**2 + i*n + d*n**4 + t*n**3 + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5102*b*f*o**3*s - 8*b*f*o**2*s**2 + 2*b*f*o**2*s - 2*b*f*s + 9*b*o*s**2 - b*s**2 + 4*f*o**3*s**2 - 16*o*s**2 wrt o?\nAnswer: -30612*b*f*s + 24*f*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2644464 a multiple of 444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a century in decades?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 - (14 + (-3 - 0) - (151 - 147))?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36117.81ml in litres?\nAnswer: 36.11781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36782 at least as big as 36781?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -771008*j**2 + 4 - 4 - 771005*j**2 + 3083975*j**2 - 770963*j**2 - 771000*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**6\/90 + m**5\/3 + 11*m**4\/12 - 3*m**3 + 2451*m. Suppose z(n) = 0. Calculate n.\nAnswer: -18, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*z + 6*x - 72 = 89*z + 101*z, -4*z + 44 = -5*x for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -331, -295, -259, -223?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1156356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46968?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**5\/2 - 69*f**4\/2 + 1068*f**3 + 81838*f**2 + 80736*f = 0. What is f?\nAnswer: -58, -1, 0, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 77*f + 394. What is v(-5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d - 14. Determine t(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - z = 44, -2*n - 26*z + 21*z + 4 = 0. Let j(g) = -g**2 + 7*g + 6. Calculate j(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 132*j + 4254. Determine g(56).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3 + -4*(sqrt(1584) + 0))**2 + -2*(sqrt(176)*-6)**2 + -2*(sqrt(22)\/sqrt(2) + 4).\nAnswer: 286*sqrt(11) + 12669","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62081 + -19312. What are the prime factors of d?\nAnswer: 19, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 12*v**2 - 2*v - 4. Let t(h) = -5*h**2 + h + 2. Let d(s) = 3*c(s) + 5*t(s). What is d(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11211 - -18433\/2. Let v = 39817\/20 + j. Calculate the common denominator of v and (-16 - -2)\/((-16)\/26).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17037447 and 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 673353 and 669222?\nAnswer: 109083186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**3)**34)**23 assuming s is positive.\nAnswer: s**2346","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-495)*-132*(-1)\/(-9)?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1226182, 1226140, 1226098, 1226056, 1226014?\n\"Answer: -42*z + 1226224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c**(1\/7)\/c*c*c)\/c)\/(c\/c**(-6)))**41)**(-16) assuming c is positive.\nAnswer: c**(26896\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**3 + 4*p**2 - 2*p - p**2 - p**2 + (-p + p - 3*p)*(0*p + 0*p - p**2) to f*p**3 + x*p + d + z*p**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2377 (base 8) to base 12.\nAnswer: -8a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 148\/72224*3440.\nAnswer: -3\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 3*b**5\/5 - 3*b**4 + 5*b**3 - 3*b**2 + 5. Factor d(k).\nAnswer: 3*k*(k - 2)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 3 + (-4)\/7. Let z = -80.1 + 80. Which is the closest to z? (a) 2\/9 (b) 0.5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -2. Suppose d*t = 2 + 10. Factor -4*w - w + t*w**3 - 3*w**4 + w + w + 3*w**2.\nAnswer: -3*w*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3286580645 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*b - 445. List the prime factors of b.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 0*j**5 + 0*j**3 - 2*j**2 + 0*j**4 + 8\/3*j**6 + 5*j + 132. Find the second derivative of f(u) wrt u.\nAnswer: 320*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 1. Suppose -5*j - 5*u + 1130 = 0, o*u - 5*u = -3*j + 694. Let q = j - 109. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9463 - -12166. What is the remainder when v is divided by 179?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p. Suppose -2*s - 10 + 32 = 0. Let d(t) = -s + t + 11. Determine d(b(v)).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/2))**(-1))**19\/(((v*v\/((v\/v**(2\/9))\/v*v*v))\/v)\/(v\/(v\/v**5))*(v*v**(2\/3)*v)**(1\/5)) assuming v is positive.\nAnswer: v**(-383\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 467 - 428. Suppose 8*m - b*m + 379285 = 0. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 4 = -2*r, -5 = -335*r + 330*r for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**2 - 989517*q - 494758 = 0. What is q?\nAnswer: -494758, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2, -64, -236, -572, -1126, -1952, -3104, -4636?\n\"Answer: -9*x**3 - x**2 + 4*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -44 + 92 + 48?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 6*u = -5*g - 30, -5*g + 15 = -5*u. Let f(l) = l - 1. Let w(x) = -6*x + 13. Let d(n) = g*f(n) - w(n). What is the units digit of d(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 r when four letters picked without replacement from zrzrtrr.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 891119?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q + 1 - 23*q**3 - 57*q - 2*q**2 + 4*q**2 - q**2.\nAnswer: -23*q**3 + q**2 - 63*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is 4592651467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 276209 and -11355971.\nAnswer: -11079762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v + 2*v + 0*v)*(-50*v**3 + 114*v**3 - 25*v**3) + (v**4 + 5*v**4 + 2*v**4)*(4 + 2 - 1) to the form h*v + d*v**3 + y + o*v**4 + s*v**2 and give o.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*j = -14, -2*n + 0 + 2 = 4*j. Find the third derivative of 3*f**2 - 2*f**4 - n*f**4 - f**2 + 4*f**4 wrt f.\nAnswer: -216*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmp when three letters picked without replacement from sfllmpplsipm?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16157*r**2*y - 2*r**2 - 3*r*y + 87*r + 149*y wrt r.\nAnswer: 32314*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3429 is divided by 2866.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) -2 (c) -58\/41 (d) 4\/609\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4077*v - 4049*v - 56 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-39)\/390*8\/(-2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*b**3*g**3 + b**3 - 13*b**2*g - 2*b*g**3 + 44*b*g**2 - g**2 - 5*g wrt b?\nAnswer: -48*b*g**3 + 6*b - 26*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-36))\/(-1*15\/50)*6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58520 = 132*p - 322*p. Calculate the remainder when p is divided by 127.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5484788829*i + 19*i**2 - 5484788831*i - i**2 + 19*i**2.\nAnswer: 37*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11303321 (base 4) in base 15?\nAnswer: -70bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 3\/10*c**5 - 1\/3*c**3 + 2*c + 1\/6*c**4 + 1\/2*c**2 + 0. What is the units digit of i(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-3)*21\/336. Let d(n) be the second derivative of 5\/6*n**3 - n + 0 - t*n**4 + 0*n**2. What is d(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 0*f = -18. Suppose -3*t = -5*w - 6, -3*t + f*t - 2*w = 6. Factor 0*c**t + 0 - 1\/3*c**3 + 0*c.\nAnswer: -c**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.06, 0.5, 5\/4, -0.9 in descending order.\nAnswer: 5\/4, 0.5, 0.06, -0.1, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -898 + 27*m + 21*m - 12*m + 760. Let g be s(4). Solve -g*n - 2*n = 40 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 2*z - 22. What is the tens digit of -2 + 4 + 2 + z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j**4 - 13*j**2 + j**2 + 1 - 2*j**3 + 9*j**4 - 13*j**4 - j to the form s*j**2 + x + b*j**3 + i*j + a*j**4 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -0*h + 5. Suppose -16 = h*b - 3*b. Find the common denominator of -4\/5 and (b\/(-12))\/(6\/93).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18a92 (base 12) to base 8\nAnswer: -106416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*((-3)\/14)\/((-18)\/(-63))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/5)\/z**(-3)*z\/(z*z**5\/z*z*z*z)*z**0*((z**(-5)\/z)\/z**4)\/((((z\/(z*z*z\/(z\/(z*z**(-3\/5)))))\/z)\/z)\/z**(-1\/3)) assuming z is positive.\nAnswer: z**(-158\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -778\/7 at most 23.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 156 and 155352?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**2 - 9*z + 1. Let m be q(-4). Find the second derivative of -3*i - i**5 - 14*i**5 - 17*i - 6*i**m wrt i.\nAnswer: -420*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -286*q - 1140. Let w be u(-4). Solve -w*k - 10*y + 9*y - 10 = 0, -5*k - 13 = y for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.15051 meters in micrometers?\nAnswer: 9150510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 506*g**2 - 5*g**3 - 16*g**2 + 20*g**3 - 10*g**3 + g in the form m*g**2 + f*g + s + l*g**3 and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 649 - 628. Calculate the greatest common factor of 21 and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-1 - (-4 - 2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6270 is divided by 196?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -5*f**2 + 5 - 1 + 4*f**2 - 4*f. Suppose 3*t + 10 = 64. Suppose 10 + t = -7*u. What is z(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -15.16. Let y = n + 5.16. Which is the nearest to -2? (a) -3 (b) y (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of f**5\/60 + f**4\/8 - f**2 + 2*f. Let b(p) be the first derivative of m(p). List the prime factors of b(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81 and 18.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = c - 12. Let l be (-2)\/c - 49\/(-21). Suppose 29 = l*z + 5*v, 3*z + 2*v - 64 = 4*v. Is z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.7490436 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m*m*m*m**(-21)*m*m*m)\/m)\/m)\/m*m\/(m\/m**(-6\/5)))\/(m**8*m\/m**(1\/19)) assuming m is positive.\nAnswer: m**(-2579\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-10) + (-319)\/(-110)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29 in 3\/2, -2.6, 4?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259207 a multiple of 335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -1232\/727061 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or -578.2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-81)\/(-60) + (-4 - (-26)\/8)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 2*y**2 + 211 + 16 to the form x*y**2 + p*y + m and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9057 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.83 + -2.8141. What is g rounded to 3 decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 545 = -144. Is y a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*o + 159 = 141*o. Solve u - 12 = 2*t, 0 = -o*u + 7*u - 5*t - 33 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + 54\/8)\/((-6)\/(-168)). Let i = h + -56. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 7 = -4*u, 4*h - 16 = -3*u + 6*h. Suppose 4*x + 4*n = -20, -4*x + n + 2094 = 2074. Factor 1\/4*y**x + 0 + 0*y - 1\/4*y**u.\nAnswer: y**2*(y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 4*n**3 + 3. Let v(i) = -2*i**2. Give v(f(d)).\nAnswer: -288*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*u**2 + 3*u**2 - 3*u**2)*(0*u - u + 2*u)*(0*u - 2*u + 4*u).\nAnswer: -28*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, t: 1, k: 7}. What is prob of picking 2 k and 1 t?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15500 divided by 1.\nAnswer: -15500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -240782*b - 265634.\nAnswer: -240782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-37 - -31) + 5 - -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 + 53. Suppose 0*z - 2*m = -z + 97, -z + l*m = -112. Let s = z - 47. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 824*f + 21. Let k(c) = 33790*c + 868. Give -124*b(h) + 3*k(h).\nAnswer: -806*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -4 - 0 - 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s + 36521*h = 36526*h - 60, -25 = -2*s + 5*h for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4320\/243 - 4\/(-18). Suppose 2*v + 13 = 5*z, -5*z + v = 4 - q. Suppose 5*o + 0*o + 25 = 0. Sort z, 4, o in decreasing order.\nAnswer: 4, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -11*w + 372. Let t be s(34). Let m(g) = 8*g - 3. Determine m(t).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11520 - 6647. Let n = -5662 + 8489. Suppose n = -z - b. What is z rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -311, -293, -263, -221, -167, -101?\n\"Answer: 6*f**2 - 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 179*m**2 - 2*m + 2. What is the tens digit of y(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -p**6\/165 - 7*p**5\/55 - 35*p**4\/66 + 50*p**3\/33 - 1284*p. Suppose j(o) = 0. Calculate o.\nAnswer: -10, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 5*c - h, -1976*h = 2*c - 1981*h + 19 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6910?\nAnswer: 2, 5, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {o: 10, f: 3, h: 1, w: 4}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - ((-4550)\/(-550) + -24)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96552 and 216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4027 to two dps.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/(-2)*-20 + (-3747276)\/373680 and 55\/48.\nAnswer: 41520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-464*c - 466*c + 7*c**2 + 979*c)*(c - 2*c**2 - c).\nAnswer: -14*c**4 - 98*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 2*m - 34 = 2*k, 0 = 4*m - 5*k - 34. Let o(n) = 11*n + 11 + m*n + 5*n**2 - 28*n. Let p(l) = l**2 - 2*l + 2. Calculate 2*o(g) - 11*p(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dss when three letters picked without replacement from ssdoroj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -309 (base 11) to base 8\nAnswer: -564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.065 - -0.065. Which is the nearest to r? (a) 0 (b) 4\/5 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -261018 divided by 43503\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236*-0.3.\nAnswer: -70.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2739 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 78 - 15 = 0. Let t be 17\/(-1)*-1 + -3. Let z be t*-9*(-3)\/3. Calculate the highest common divisor of n and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -0.2 (b) 3 (c) 0.23 (d) -0.5 (e) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/23)*c*c**(2\/5)*(c*c\/(c*c\/(c\/(c*c**(1\/7)))))\/c**(6\/7) assuming c is positive.\nAnswer: c**(56\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-9)\/(27\/(-3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -18. Let h = 4 + o. Let x = -14.45 - h. What is x rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 4*m + 29*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(((-138)\/(-70) - 2)*1). Let h = d + 455. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**2 + 9*c**2 + 4*c**2 - 16*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20411825?\nAnswer: 5, 7, 116639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10 (b) -3 (c) 0.0653\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 123? (a) -0.2 (b) 1.4 (c) 32 (d) 2\/9 (e) 8\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000011 (base 2) in base 7?\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -1\/2*j**3 + 2*j**2 + 1\/24*j**4 + 0*j + 0. Let i(h) = -h - 1. Let g be i(-4). Calculate m(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 21, 45, 67, 87, 105, 121, 135?\n\"Answer: -c**2 + 27*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*g - 4790 = -566*g - 451 + 431 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 5:25 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*x - 33*x + 81 - 278.\nAnswer: 5*x - 197","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -379*k = -388*k + 47 - 11 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -g, 3*n - 119 = -2*g - 5. Differentiate 319*p**4 + 4*p - 310*p**4 - 159 + n wrt p.\nAnswer: 36*p**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**6\/120 + g**5\/12 - g**3\/2 + 6*g**2. Let v = -1 + -3. List the prime factors of p(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53042939539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000085512652 to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 3*m - 5 as y + f*m and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**5\/3 + 212*m**4\/3 + 1942*m**3 + 11024*m**2\/3 + 5408*m\/3 = 0.\nAnswer: -52, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a century in years?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n = -85. Let j = -15 - n. Suppose j = 2*r + 4*p, 0*p - 4*p - 161 = -5*r. What is the remainder when r is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 7*z - 3*z - 3*l, 3*z = l + 12. Let k = z - -3. Solve -2*c - 4 - k = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 627 (base 10) to base 2\nAnswer: 1001110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w**3 + 2*w**2 + 2*w + 3. Let l be s(-2). Let i = -116\/3 + l. What is the smallest value in -0.5, 0.2, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/47 less than or equal to -3966?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 125840?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -5*u**2 + 91*u - 284. Determine w(13).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13673*v**2 - 621*v - 13675*v**2 + 621*v.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*v**3 - 10*v**3 + 9*v**3 + (2*v**2 + 1 - 1)*(-3*v + 7*v - 3*v) + v - v**3 - v + v**3 - 3*v**3 + 4*v**3)*(-4*v + v + 4*v).\nAnswer: 21*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, 819, -3\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, u: 4, x: 6, z: 2, c: 2, f: 3}. Give prob of sequence uxz.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -438228 or -438239?\nAnswer: -438239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-3)*1*72\/(-48). Let s(m) = m - 5 + 0*m + 2*m - 4*m**2 - m**3. Let g be s(k). Solve 0 = -g*z, -1 = l + 5*z + 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12701 + 12700.9999973034. Round y to seven dps.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 2)*(266*i + 876*i + 1300*i + 1592*i + 279*i) to x + p*i and give p.\nAnswer: -4313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) 754 (c) -13 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4886, -7109, -9326, -11537, -13742, -15941, -18134?\n\"Answer: 3*d**2 - 2232*d - 2657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21775753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1844 + 1838. Let u(r) = -r**2 - 6 - 13*r - 9 - 20. Let f be u(m). Calculate the highest common factor of 21 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 6. Suppose -3*i = -3*l + 6, 2*l = -2*l + j*i + 6. Let v be (4 - 2)*((-3)\/(-6) - -1). What is the second smallest value in v, 0.4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.293 + 45.707. Which is smaller: -0.05 or w?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 829*a**2 + 2*a**4 + 1660*a**2 + 8*a**3 - 832*a**2 - 6*a to n*a**4 + t*a**3 + q*a + f + u*a**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 1521*u - 1056. Let j(n) = -3067*n + 2113. Let w(q) = 5*i(q) + 3*j(q). What is the derivative of w(p) wrt p?\nAnswer: -1596","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 338764 and 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2943*7\nAnswer: -20601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216041 is divided by 214037?\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369200 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - 6. Let r be (12 - 1) + v\/9. Solve 4*k = -r - 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1315043 + -1?\nAnswer: 1315042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 3. Let q = i - 2. Let j = 3401\/24 - 1131\/8. What is the nearest to -2 in q, j, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -8*l - 14. Let x be d(5). Let p = -22 - 4. Let s = p - x. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -671\/6 and -112 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 + -2)\/((-22)\/(-6) + -3). Solve 0 = 4*k - u*d - 7, 2*d + 4 = 3*k - 0*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2133 - -15?\nAnswer: 2150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 13\/12*m**4 + 2 + 23*m + 1\/2*m**2 + 33\/10*m**5 + 0*m**3. Find the third derivative of i(f) wrt f.\nAnswer: 396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18 - (1 + (4 - 3)). Let f = v + -14. Solve f*t + 2*k = -2*k + 8, -10 = -4*t - 2*k for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (115 - 57) + 3 + -16\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 658240269 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(1*-6)\/(54*42\/(-15120)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 1. Let o(h) = 35*h + 898 - 893 + 20*h - 35*h. Let q be 3*(-5 - (-2 - -3)). Let x(t) = q*k(t) + 2*o(t). Differentiate x(f) with respect to f.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + j + 5 = -j, -4*j - 4 = 0. Suppose 4 = k, -f - 4*f + 3*k = -q. What is the second derivative of -2*z**2 + 0 + 0 + f*z + 0*z**2 wrt z?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -12*s**3 + 2*s - 2. Let u be t(2). Let f = 156 + u. List the prime factors of f.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 + (34 - (56 + -5))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 6*r**3 + 2*r**2 + 2*r + 1. Suppose 5*k - 15 = -60. Let n(c) = c + 13. Let p be n(k). Let s be -1 + 0\/((-16)\/p). Give x(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 - 68*u - 1.\nAnswer: -68*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -209814 divided by -16?\nAnswer: 104907\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-1 - 1) - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (-6)\/30*-6 - (-6732)\/(-85). Sort -1, 4, -4, -3, l in descending order.\nAnswer: 4, -1, -3, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 12) to base 7.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkgggk. What is prob of sequence gg?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -168011359\/298 - -563795. Let w = -1\/149 - a. Solve -1\/2*c**4 + 1 - 1\/2*c**2 - w*c + 3\/2*c**3 = 0 for c.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.9409 + -0.0789. Let f = b - 0.9. Let h = -0.0380132 - f. Round h to 6 dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*z + 3*k = 12*z + 668, 0 = -3*z - k + 400. Let r(n) = n**3 + 6*n**2 - 3*n - 3. What is the remainder when z is divided by r(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3)*1*(-30)\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(162) - (5 + 0 + sqrt(162))) + 1)**2 + -5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -99*y**2\/2 + 127*y + 111. Find the first derivative of w(x) wrt x.\nAnswer: -99","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 9:31 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**5 - 2*o**3 + o. Let y(j) = -5*j**3 - j + 4 - 4 + 3*j - 3*j**5. Let g(t) = 10*d(t) - 4*y(t). Find the second derivative of g(i) wrt i.\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4.7 (b) -2\/11 (c) -1985\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, x: 2, p: 3, g: 1, y: 3, c: 1}. Give prob of picking 2 y.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*u = -37*u + 10582. Suppose -2*w + 4 = 0, u = -4*h - 0*h + w. What is h rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssooossohojhohojts. What is prob of picking 1 s, 1 t, and 2 h?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4 = -3*r + 2*r, 5*r - 3*j - 38 = 0. Let l be ((-56)\/49)\/((-6)\/r). Put 0.3, l, 5 in increasing order.\nAnswer: 0.3, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3023 = 64*o + 4815 for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 779.\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 69, 42, -59, -258?\nAnswer: -579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/117 - 4\/(-26). Which is smaller: s or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 2:05 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t - 2. Give a(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (-2*sqrt(1088))**2)*-3.\nAnswer: -13056 - 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 310 and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*b - 5*b + 4*b)*(-b + 3*b - 3*b) - 2*b**2 + 3*b**2 - 4*b**2)*(-5*b**2 + 0*b**2 + 0*b**2).\nAnswer: 25*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-30)\/(-25)*(-120)\/(-18) and 1\/1*-1 - -4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 6.94. Let t = k - 0.44. Which is the biggest value? (a) 4 (b) 0.1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - b = -10. Suppose b*u + u = 210. Calculate the greatest common factor of 10 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = r - 35 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + v**2 - 1. Let p(b) = 216*b**3 + 3*b**2 - 66. Let z(n) = -3*o(n) + p(n). What is the derivative of z(r) wrt r?\nAnswer: 639*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 7*i**2 - 9*i - 1. Let q(u) = 4*u**2 - 4*u. Let s(m) = 5*q(m) - 3*t(m). Let f be s(6). Sort -2, -3, f.\nAnswer: -3, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 576170603 to the nearest integer?\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 364\/21*(-3)\/2*155\/1054*17?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 500 = 3*g + 5*i, -2*g = 2*i - 232. Suppose 0 = -3*o + 8*o - g. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69341319 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**2 + 13*b - 17. Let c be t(3). What is the third biggest value in c, 4, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**3\/5 + 22871*a**2\/5 - 91496*a\/5 + 18300 = 0. What is a?\nAnswer: -22875, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 773 divided by 70974\nAnswer: 773\/70974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a - 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(1\/4)\/s))**(-24\/11)\/(s*s*(s\/(s\/s**(2\/11)))\/s*s\/(s*s\/s**(-5))) assuming s is positive.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21.57 - 0.43. Let i = -22.0007 - d. What is i rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 708058 by 2938.\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 7:05 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1214250 (base 7) to base 6.\nAnswer: 3154213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b = 26*b - 95. What is the remainder when b is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 195\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -352, -697, -1040, -1381?\n\"Answer: p**2 - 348*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*z - 150*z + 5*r - 8 = 0, -15 = -4*z - 3*r. Let g = 51 + -49. Solve z*n + g*n = -20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1500487*x - 1500480*x = -448 for x.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -4404?\nAnswer: -4411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*1 + 1)**2 - (sqrt(208) + -1).\nAnswer: -2*sqrt(13) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t + 2*t**2 - 2*t**2 - 2*t**2. Let c be 0\/(-1) - (-4 + -1). Suppose -v + c*i - 6 = 0, -i + 1 - 2 = 2*v. Give s(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 1533.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*z - 62*z - 8*d + 5*d = -22*z + 11*d + 78, -d = 4*z + 30 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*h**2 + 14 - 14 - 7 - h**2 + 7 + (3 - 3 + 3*h)*((-1 - 4 + 3)*(h + 3*h - 3*h) + h + 0*h - 2*h) to the form n*h + q + k*h**2 and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 7, 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1658.1 + 1658. Which is the nearest to 1? (a) 4 (b) 0 (c) x (d) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1021020101222 (base 3) to base 5\nAnswer: -133031032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -57*z**3 + 9*z**2 + 8*z - 18. Calculate i(1).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -2, 6, 3 in decreasing order.\nAnswer: 6, 3, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 275791288*j**2*v + 128308527*j**2 wrt v.\nAnswer: 275791288*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 t, and 1 v when three letters picked without replacement from {o: 1, x: 1, t: 1, v: 1, a: 1, q: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-210)\/(-63) + 1\/(-3). Is 1*b\/(-2)*22924\/(-33) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204246 (base 9) in base 3?\nAnswer: 20011021120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 + 0)*(0 - 2*s + 0)*(6 + 5 - 17)*(5 - 2 - 1).\nAnswer: 96*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(1\/23))\/b*b\/b**4)\/(b**(1\/17)\/((b*b\/((b\/b**(2\/5))\/b))\/b)) assuming b is positive.\nAnswer: b**(-3328\/1955)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2284907, -2, 4.\nAnswer: -2, 4, 2284907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*a + 174*a = -213 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of o**9\/378 + o**5\/20 + o**3\/3 - 2*o. Let l(q) be the second derivative of u(q). What is the second derivative of l(g) wrt g?\nAnswer: 160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.6411795 years?\nAnswer: 0.006411795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*n - 1442 = -1382 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8419.743 meters in kilometers?\nAnswer: 8.419743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-4 - (-5 - (3 + -10)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/8 and -121\/7764.\nAnswer: 15528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -422881, -9, 1, 3, -6, 5.\nAnswer: -422881, -9, -6, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 107307 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -0.2, 0.5, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-21)\/6)*-2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/162*18\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.16 - 8.16. Let m = -5 - h. Let k be 2\/10 + 4 + -4. Which is the second smallest value? (a) m (b) -4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzzzzzizzizizz. Give prob of sequence zzzi.\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/6 bigger than 1461798?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 45*h**2 + 134*h - 3213. Does 98 divide s(24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 + 97745*u\/8 - 8826041\/8.\nAnswer: (u - 89)*(16*u + 99169)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -147 - -5\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/(-25))\/(1\/((-35)\/14))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2217896.06 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, e: 16}. Give prob of sequence ueu.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 - 63912*a + 1021568.\nAnswer: 4*(a - 15962)*(a - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -20*(4\/2 + -3). Let q be (-4)\/(-10) + (-8)\/i. Find the second derivative of q*o**2 + 5*o + 0*o**2 + o**2 wrt o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1297423 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 - 700*l**2 - 31540*l - 462080.\nAnswer: -5*(l + 38)**2*(l + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*l**3 + l**2 - 39*l**3 + 41 - l**2 - 64*l**3 with respect to l.\nAnswer: -354*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -39\/4 (b) 3.2 (c) 3 (d) 1\/4 (e) -39 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and 156203105.\nAnswer: 156203104.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -48, -115, -296, -645, -1216, -2063?\n\"Answer: -9*q**3 - 3*q**2 + 5*q - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 572 = -222*w + 1682. Solve 4 = -w*m + 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**4 - x**4 + x**4 + (-2*x**3 - 4*x + 4*x)*(-3*x + 4*x + x) + 4*x**4 - 4*x**4 - 6*x**4 in the form y*x**2 + g*x + v + n*x**4 + s*x**3 and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 13*l + 7. What is the units digit of i(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.2 and 9227488662741.\nAnswer: 9227488662742.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {q: 7, v: 5}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 - -37. Let i(v) = 2*v + 11. Let n be i(q). Which is greater: n or -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 10 + 9 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of x**3\/6 - x. Let c(b) = 32*b + 25*b - 48*b. What is c(y(w))?\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 7*t. Suppose -b + 2 + 2 = t. What is the second derivative of 0*g + g**b - g + g**4 wrt g?\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*i - 6, -f = 34*i - 32*i - 15. Calculate the remainder when 728 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 4:39 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + (350\/5)\/5. Is -80*(15\/a)\/((-6)\/14) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1486 is divided by 214?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i**2 + 0 - 2*i + i**3 + 0*i + 6. Let s be c(5). What is the smallest common multiple of 6 and 1\/s - (-123)\/12?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1438391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, i: 10, v: 5}. What is prob of sequence iiv?\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4251 and 989313.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*z - 90*z - 30 = 0. Suppose 10*l**2 + z*l**3 - 8\/5*l - 8\/5 = 0. Calculate l.\nAnswer: -1, -2\/5, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/2*(16\/2)\/(-4). Let v(x) = 190*x**3 - x**2 + 9*x + 6. Let k be v(u). What is k rounded to the nearest one hundred?\nAnswer: -5200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10163 + 0?\nAnswer: 10163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 46*u - 42*u. Let c be (4\/(-30) + (-56)\/(-1320))*u. Factor -4\/11 - 2\/11*m + c*m**2.\nAnswer: 2*(m - 2)*(m + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(1\/(-16)*2). Factor -j*a**4 + 54*a**2 + 12*a**3 - 46*a**2 - 16*a**5 - 3 - 4*a + 3.\nAnswer: -4*a*(a + 1)**2*(2*a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -598 - 1002 = -8*m. What is the highest common factor of 2440 and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2063556 and 2316?\nAnswer: 2063556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + -0.9. Let q = 3\/2 - 11\/6. Which is the third smallest value? (a) q (b) 3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 1:19 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4 + sqrt(252) + sqrt(252) + (-6*(sqrt(252) + 1))**2.\nAnswer: 444*sqrt(7) + 9117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -294.89 and 0.343.\nAnswer: -294.547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11858.2 or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j + 1. Let o(m) = 7*m + 3. Let d(i) = -3*n(i) + o(i). Let f be d(4). Suppose 4*c + f = 8*c. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 813, 6734, 22919, 54528, 106721?\n\"Answer: 860*d**3 - 28*d**2 - 15*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18312167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*w = 18, -w - 3 = -3*u + u. Let q be 1*(-8)\/(-3 + 1). Let x = q + u. Solve 5*s = -x*j - 27, 5*s - 2*j + 7 = -0*j for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1982 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 164 and 6509201.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -118 - 80 - 48*w + 213 in the form q*w + y and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.93 + 2. Let w = 0.17 - h. Sort -0.5, 3\/8, w.\nAnswer: -0.5, w, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21.672 - -21.6659043. What is f rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -105 at most -105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (4 - 19*-2). Let m = -43 - v. Solve m = -5*p + 20, p = f - 2*f + 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 12 = -4*p, -2*p = g + p - 6. Let u(s) = -s**2 - 6*s - 2. Let k be u(-5). Let i(y) = -6*y**2 + y - 6 + 0*y - g*y - 1 + y**k. Calculate i(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**5\/2 + 55*y**4 - 2625*y**3\/2.\nAnswer: -y**3*(y - 75)*(y - 35)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 139 + 2*d**3 - 3*d**3 + d - 131 - 6*d**2. Let l(o) = o**3 + o**2 + 2*o + 2. Suppose 2*t - 5*z = -8 - 21, -5*z + 25 = 0. Let h be l(t). What is f(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 100197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5852457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1135224 - -300?\nAnswer: -1134524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**2 + 24*o + 6. Let j be h(-8). Let l = j - -121. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 6\/5, 0.06 in descending order.\nAnswer: 22, 6\/5, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/4)\/(a\/(a**(2\/79)\/a)))**25 assuming a is positive.\nAnswer: a**(-13625\/316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 18*d + 35. Let w be s(-2). Let o(y) = y**2 - 3*y - 2. Let h be o(4). Let c(v) = -7*v**2 + 0*v**h - v**2. Calculate c(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 1 - (-2 - (-1 + 4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - r = -4*w - 7, -4*r + 10 = -w. Suppose -r*f - 1 = -13. Solve 0 = -t + 5, -h - 13 - 4 = -f*t for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o - 2. Let q be 24\/9 - (-1)\/3. Suppose -2*c + 8 + 7 = 5*m, -6 = 5*c - 2*m. Let k = q - c. Determine l(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**3\/3 + 17924*k**2\/3 + 17906*k - 107508 = 0.\nAnswer: -8959, -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - 27. Factor -9*m**3 + 10*m**u + 14*m**3 - 4*m**2 - m**2.\nAnswer: 5*m**2*(m + 1)*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, 5, -0.0612, 2\/9, -1\/3, -8\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j**2 - 2*j**3 + 5*j**2 + (-3 + 0 + 1)*(-j**3 + 3*j**3 - 6*j**3 + (3 - 4 - 1)*(0*j - j**3 + 0*j)).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -133, -326, -613, -1000, -1493?\nAnswer: -2098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*f**4 - 8*f**4 + 12*f**4)*(-8*f + 43*f + 13*f) - 4*f**5 + 4*f**5 - 2*f**5.\nAnswer: -1730*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.17 + 2.38. Let s = t + -0.71. Suppose 5*j + 4 + 6 = 0. Which is the biggest value? (a) -2\/5 (b) j (c) s (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 6 = -12. Suppose 3 = -p + 22. Suppose -48 = -2*f - 4*q, 3*q + p = 3*f - 2*f. What is the remainder when f is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2578 is divided by 49?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - (-1 - -18) - (-6 + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/((-9)\/(-4)) + 8. Suppose w + 6 = 5*w + 3*j, -w - j = -1. Suppose -3 + x = -i, 38 = w*k + i. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 2 + 3 - 7 - 5*c**2 - 4*c**3 to the form v*c**2 + p*c + d*c**3 + n and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1033, 92, -2, 4?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-60*11\/(-33))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -64864794*t**3 + 95674865?\nAnswer: -194594382*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + h - 66 = -3*h, 5*n - 3*h = -99. Let v = n - -43. Suppose 0 = 2*c - 37 + v. What is the remainder when 23 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/15*(-26)\/(-104)*(-4)\/218. Is -3.8 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-10)*((-150)\/(-18))\/(-5)*3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -11723490*y + 8. Let p(k) = -k. Determine p(n(d)).\nAnswer: 11723490*d - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1636071*n**4 - 261244*n**2 + 4*n?\nAnswer: 39265704*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 521*i - 1041. Calculate j(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (64\/10 + (-26)\/65). Let i(s) = -s**2 - 10*s - 20. Let n be i(q). Which is the nearest to 4? (a) 0.3 (b) 6\/5 (c) n (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9\/10 of a kilometer?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.868482ml to litres.\nAnswer: 0.004868482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -402*k - 527*k**2 - 606*k - 7 + 7 wrt k?\nAnswer: -1054","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -23, 1, 68, 4 in descending order.\nAnswer: 68, 4, 1, -2, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -252 - -106. Let s = -1900\/13 - z. Let j = 0.2 + -0.1. What is the nearest to j in 2, 0.3, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1940493 is divided by 157.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.3 + 12. Which is the closest to 0.8? (a) -4 (b) m (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 5. Suppose -4*r - i = -6*r. Sort -2, 0, r in descending order.\nAnswer: r, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -33089 and -33087 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 44.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 759068?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-141)\/188)\/((-66)\/(-32)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((p\/p**(-1)*p)\/p)\/p)\/p*p)\/p)\/(p*p**(1\/2)*p)*(p*(p**2\/p)\/p)**(-31))**(17\/4) assuming p is positive.\nAnswer: p**(-1139\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7 - 0.3. Let s = -18.19 + 21.19. Let k be ((-16)\/(-9) + -2)\/1. Sort k, f, s.\nAnswer: f, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33899287 rounded to 2 decimal places?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*f = -2, -5*f - 25 = -5*g. Calculate the highest common divisor of 15 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 722218.5 litres in millilitres?\nAnswer: 722218500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 + 48. Let v = 3 - s. Which is smaller: -24 or v?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/2, 0.4, -5\/8, 0.2.\nAnswer: -5\/8, 0.2, 0.4, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + u**2 + u - 1. Let o(j) = 12*j**3 - 3*j**2 - 4*j + 4. Let g = -335 - -336. Determine g*o(l) + 4*s(l).\nAnswer: 8*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*a**2 - 8*a**2 - 2*a**3 + 0*a + 2*a + 2 as y*a**3 + j*a**2 + n*a + z and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of 0 + 0*m**7 + 0*m**5 + 11\/56*m**8 + 0*m**6 + 1\/4*m**4 + 6*m + 0*m**2 + 0*m**3. Find the third derivative of s(j) wrt j.\nAnswer: 1320*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38065\/3 + 12863. Which is greater: 175 or s?\nAnswer: 175","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 790*b**3 - 2*b**2 - b - 56734 wrt b?\nAnswer: 2370*b**2 - 4*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + o. Let n(j) = -j**2 + j - 5. Let i be n(o). Let s be (12\/(-14))\/(i\/35). Let t(p) = -p**2. Let a(w) = 3*w**2. Calculate s*a(d) + 17*t(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 10*f - 4. Solve 0 = 4*n + f - 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpspspsspzzpszsvzssb. What is prob of sequence pb?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 4 = -2*s, 4*s + 0*d + 9*d = 10*d - 14 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18 - r - 2 - 6 + (-1 - 1 + 0)*(r + 0*r - 3*r) - 4*r - r + 3*r.\nAnswer: r - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 7) in base 8?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 595020547 to the power of 1\/2, to the nearest integer?\nAnswer: 24393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -241\/1049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*i**6*p + 84*i**3*k**2*p + 29*i**2*p - 7*i*k**2*p + p wrt i.\nAnswer: -600*i**3*p + 504*k**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.1 + -0.1. Suppose p + 25 = 48. Suppose 3*x - p = 4*k, 0*k + 3*k - 4 = -2*x. What is the smallest value in x, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2621*s + 15*s**4 + 2621*s + (s**3 + 2*s**2 - 2*s**2)*(-4*s + 5*s + 0*s) + 2*s**4 - s**4 + 2*s**4.\nAnswer: 19*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 3*f**2 + f. Let k be ((-4)\/3)\/((-2)\/6). Suppose 2 = -3*m - k. Let p be l(m). Are 3\/4 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -11\/12, -1 in decreasing order.\nAnswer: -1\/4, -11\/12, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -4*p + 923885, 46*c - 184777 = 45*c + 2*p. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((-12)\/(-2))*0\/(-6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1763 and 172?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007393 rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n. Let s(l) be the third derivative of -7*l**4\/12 - 8*l**3\/3 + 2*l**2 + 17. What is u(s(q))?\nAnswer: 14*q + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 1\/21*y**7 + 7\/15*y**6 + 0*y**2 + 10\/3*y**4 + 0 + 12*y + 8\/3*y**3 + 9\/5*y**5. Factor p(w).\nAnswer: 2*w*(w + 1)*(w + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-12)\/28 + (-286)\/(-14) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = p + 18, 2*p + 2*q = -3*p - 67. Let x = 22 + p. Calculate the remainder when ((-22)\/(-66))\/(1 + (-512)\/516) is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -5 + -191 + 188?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -2. Suppose 70 = 5*r - 15. Let o = r + -2. Solve -l - 4*l + o = t for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103, 248, 443, 712, 1079, 1568, 2203, 3008?\nAnswer: 4007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 156144802321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-126)\/27*20\/(-1540)*(1 + -2 - -3).\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(2 - (3 - 2)). Suppose 68 = -q*m + 3*m - i, -4*m - i = -79. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104217, 104331, 104445?\nAnswer: 104559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*j**2 - 84*j**2 + 460*j**2 - 81*j**2 - 83*j**2 - 120*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 127612290, 127612286, 127612280, 127612272?\nAnswer: 127612262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -19 + 25 + 3 + 2 + 1 + -26. Let q(n) = 2*n**2 + 29*n - 6. Determine q(m).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 17*r**2 - 16*r + 2. Let w be j(-16). What is the second derivative of -233*o**5 + o**w + 250*o**5 - o**2 + 11*o wrt o?\nAnswer: 340*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12889*w - 4*r - 32 = 12886*w, w + w - 4*r = -24*r - 92 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 918540 and 4375.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1263 + 1a5?\nAnswer: 1448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(396))**2 - 2*sqrt(1584).\nAnswer: -60*sqrt(11) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6640917661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - -30. Let s be (-136)\/z*(-3)\/2. Calculate the greatest common divisor of 34 and s.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/273 (b) 2\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o + 21. Let c be g(9). Let v be 2*-1 + c + 10. Let y(l) = -2*l - l + 2*l - v*l. Let d(k) = 8*k**2. Give d(y(i)).\nAnswer: 72*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/9*12\/10. Which is the closest to o? (a) 0.1 (b) 2\/37 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19401 + 19396. Which is the closest to 1\/2? (a) v (b) -2 (c) 0.3 (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5538 is divided by 4803.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 8:59 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*g - 10. Which is the second biggest value? (a) 1\/9 (b) 0 (c) -6 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 - 12 - (-6 - -13)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -116210 + 193437. Suppose -i - 239227 = -h. Round i to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -4 (c) 3488\/5 (d) -0.2 (e) -12 (f) 0 (g) -0.8\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 146\/(-511) + (0 - 202\/(-168)). Let c(q) be the second derivative of -13*q + 0*q**3 + b*q**4 + 13\/2*q**2 + 0. Differentiate c(m) wrt m.\nAnswer: 22*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1351309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3681 + -2470. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l - 69. What is the remainder when i(44) is divided by 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 12:47 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290*z + 293*z + 3 = 0. Let r = -37 - -56. Let l = r - 30. What is the closest to -1 in l, 0.1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20547, 20549, 20551, 20553, 20555?\nAnswer: 20557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g - 1. Suppose v + 3 = -5. Let q(i) = i + 10. Let r be q(v). Let f(z) = z. Calculate r*f(t) - u(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 - 291 = -7*g. What is the second derivative of g - 763*j**2 + 763*j**2 - 3*j**3 + j**3 - 2*j + 53*j**5 wrt j?\nAnswer: 1060*j**3 - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -12*a + 16. Let h be r(1). Suppose 7*p - 11*p - h = 0, -3*k = 5*p - 43. Calculate the smallest common multiple of k and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -649 + 244 = -45*y for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k - 119 = 16*k. Does 20 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7\/(-6))\/(7\/(-1)))\/(6\/27)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 12 = -p. Let q = p + -4. Let j(z) = z**3 - z**2 + 5. What are the prime factors of j(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -56 + 61 + 12 + (16 - 1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 529796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4079 divided by -6\nAnswer: -4079\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 76 and 1995598.\nAnswer: 151665448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 6:58 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6022098558 a multiple of 8271?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 879, -1656, -5885, -11808, -19425?\n\"Answer: -847*m**2 + 6*m + 1720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 1744?\nAnswer: -8720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 142\/355*50*7\/392?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 577 + 251 = 0. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2714587627.\nAnswer: 19, 23, 6211871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**4 + 10*y**3 - 44*y**2 + 32*y = 0.\nAnswer: -8, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/625224 and 77\/5736.\nAnswer: 625224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5*c**3 + 11*c**2 - 2*c - 3. Let y(z) = -4*z**3 - 11*z**2 + 2*z + 4. Let g(f) = 3*o(f) + 4*y(f). Is g(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30\/2497 and -49\/1816.\nAnswer: 19976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 16) in base 8?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/9 (b) 0.4 (c) 3 (d) 3\/17 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 176 (c) -2 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 10 = p. What is the remainder when 60 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w**3 + w**2 - 2*w**3 + 2*w**2 + (-1 + 1 + 2*w)*(w - w + 2*w**2) - 2*w**3 - 1 + 1 + 3*w**3 - w**3 - w**3.\nAnswer: 6*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 8. Let v be (t - 1)\/(1\/(-1201)). Let g = v + -47979\/10. What is the common denominator of 101\/6 and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1389.104 and 0.5.\nAnswer: 694.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o - 1. Let v = 7 - 5. List the prime factors of s(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of 13*r**4\/12 + r**3\/3 - 56*r**2. Find the first derivative of l(x) wrt x.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (238\/68 + (-14)\/2)*(-20)\/(-14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14687 is divided by 29.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-60)\/(-9) + -5)*(-3)\/(-1). Determine w, given that 0*w + 0 - 24\/7*w**4 - 4\/7*w**2 + 18\/7*w**3 + 10\/7*w**o = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 minus -0.36?\nAnswer: -93.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/21)\/o**(-23)*(o\/(o**2\/o))**8 assuming o is positive.\nAnswer: o**(484\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -364 + 374. Solve q*k = 13*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 16936, -708?\nAnswer: 16936","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -36*i**2. Let j(s) = 11066*s**2. Calculate j(q(f)).\nAnswer: 14341536*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -746883396.99999982 - -746883360. Let n = -37 - b. Round n to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45.426 - 1\nAnswer: -46.426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 10*j + 19. Let q be l(8). Suppose 3*f = -5*n + 16, 0 = -2*f + 5*f + q*n - 12. What is the fourth biggest value in -0.4, 5, -2\/3, f?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -107 + -100?\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3*1)\/(9\/6) + -2. Solve n + t = 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16565857 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -7*t**2 + 3*t + 76. Let l(h) = 99*h - 22. Calculate 3*l(b) + 22*v(b).\nAnswer: -11*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l**2. Suppose -465 = 5*p - 10*p. Let t(k) = 93 - p + 6*k. Give t(m(b)).\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 48758, 48762, 48766, 48770, 48774, 48778?\n\"Answer: 4*x + 48754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 4*z - 20 = 0, 2119321 - 2119372 = 4*x + 3*z for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 5 - 2)*(0 + 2*t + 0) + 2 + 3*t - 2.\nAnswer: 23*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 405 and 330765?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6177 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 + -1)*(-12)\/24. Solve 3*n + d*j + 1 = 13, -16 = -4*j for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 4*i**2 - 5*i + 1. Let w be v(-5). Let h be (-8)\/10*(-7 + 10 + 5\/(-10)). Sort 0, h, 3, w in ascending order.\nAnswer: h, 0, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/19674 and -25\/67086.\nAnswer: 73324998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1275612 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 + 16?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5218051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrrrz. What is prob of sequence vz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 38*u - 11. What is r(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/196 and 13\/28.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/((-400387)\/(-21071) - 19). Which is greater: -22176\/5 or s?\nAnswer: -22176\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 640, 644, 648, 652?\nAnswer: 656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 68*u - 1356. What is l(83)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, r: 6, q: 3, h: 1, m: 2, k: 6}. What is prob of picking 1 q, 1 k, 1 r, and 1 h?\nAnswer: 36\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-19 - -39) - 25.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 260 and 380?\nAnswer: 4940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3233, 16123, 37613, 67709, 106417, 153743, 209693, 274273?\n\"Answer: n**3 + 4294*n**2 + n - 1063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/4*(5 - 3). Find the third derivative of -31*n + 31*n + b*n**4 - 11*n**2 wrt n.\nAnswer: 216*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 775 and 42005?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 10. Let l be t(5). Suppose -3*z = -l*z + 8. Suppose 7*r = r + 24. What is the highest common divisor of z and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**0\/b**(-11)*b**(-1)\/(b*b\/(b**(7\/2)\/b)) assuming b is positive.\nAnswer: b**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4 - 483*o**3 + 50210*o**2 - 1163892*o - 1214584.\nAnswer: -(o - 46)**2*(o + 1)*(o + 574)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 134637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13.01, -0.23, -888?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**2. Let o(l) be the second derivative of -19*l**4\/12 + 2*l**3\/3 + 52*l + 12. Give o(c(s)).\nAnswer: -171*s**4 + 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 3*p - 67, 0 = -r - 1 - 4. Suppose 0*f - 4 = -5*y - f, -2*y = -5*f + 20. Suppose 4*g + p - 38 = y. Solve 2*m = -g - 4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j**2 + 0*j**2 + 4*j**2)*(-4 + 3 + 2) + (4*j - j - 2*j)*(-2 + 2 - j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 2*k - 1. Let j be g(3). Let q be 6\/j*(-2)\/3. Let f be -2 + 26\/30 - (7 + -8). Is f greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -2*c - 6, -5*c - 2*r - 3 + 4 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -7*s**5\/4 + 2*s. Let z be t(-1). Round z to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -6. Let p be 9\/(-15) - 2\/(-2). What is the closest to 0.2 in 4, p, z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 749643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*q + 44 + 32 = q. Let m = -2.9 - -3. Which is the closest to q? (a) 2\/7 (b) m (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12723 is divided by 111.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004172 to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 0 + 15\/(-9). Let u = -0.05 + 0.08. Let a = -1.03 + u. Is m less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 10.77 (b) -0.3 (c) -2 (d) -4 (e) 326\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12765\/2*p + 12321 - 1\/2*p**3 + 112*p**2 = 0 for p.\nAnswer: 2, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.85421nm in centimeters?\nAnswer: 0.000008985421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of h**6\/240 - h**4\/16 - h**3\/6 + 57*h**2\/2 - 8*h + 4. Let v(c) be the first derivative of o(c). Factor v(r).\nAnswer: (r - 2)*(r + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -142829+-26\nAnswer: -142855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*u**2 + 13*u + 11*u**3 + 11*u**2 - 11*u**2 wrt u.\nAnswer: 66*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 41 = 43. Let f(d) = d**2 + 11*d + 57. What is the tens digit of f(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*u = 257 + 1753 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -107 + 271. What are the prime factors of v?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/2, 0.2, -1.08?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + f + 9, h - 2*f - 3*f - 29 = 0. Suppose 0 = -m - h*m + 45. Let r(p) = 11*p - 7. Let i(z) = 5*z - 3. Calculate m*i(u) - 4*r(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.13 * 13.1\nAnswer: 1.703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 23 = -5*k - q, -4*q = -8. Let u(z) = 7*z - 3. Let b be u(3). Suppose -4*y - 6 = -x, -3*x = -6*x - k*y + b. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five eighths of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.29*-0.00599\nAnswer: 0.0017371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 183 and 610.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 36 = -7*m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -25?\nAnswer: -8\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 + 40. Let b = l - 4. Let d be 1*9\/((-18)\/b). Solve 0 = 3*r + d - 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 208*m**2 - 8340*m - 1282. Give d(-54).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 10.2. Which is the nearest to u? (a) -4 (b) -2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/4)*o*o\/(o\/o**2)*(o**9\/o)\/(o*(o\/(o*o**2))\/o))**16 assuming o is positive.\nAnswer: o**212","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 1537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*h + 2*h - h)*(-2*h**2 + 3*h**2 - 2*h**2) + 328*h**3 - 167*h**3 - h - 177*h**3)*(3*h - 3*h - 2*h**2).\nAnswer: 28*h**5 + 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 116904.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 7*k**2 - 33*k + 48. Let o(l) = l**2 - 2*l - 1. Let q(d) = 6*o(d) - w(d). Let f be q(5). Calculate the highest common divisor of f and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3316*n**2 - 65*n - 13. Let m(g) = g**2 + 5*g + 1. Determine 52*m(r) + 4*u(r).\nAnswer: 13316*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -347 not equal to -349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 5*h + 27 - 74 = 0, -4*c + 2*h = 7*h - 62 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -214 - -205. Let h(i) = -i**2 - 12*i - 10. Give h(t).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 306 and 24?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*p = 0. Which is the closest to p? (a) 0.3 (b) -4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 39295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3. Let d(p) = p. What is 3*d(k) + j(k)?\nAnswer: 3*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146051 divided by -2.\nAnswer: 146051\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 6*w. Let d(i) = -321*i. Determine d(v(y)).\nAnswer: -1926*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 30*f**2 + 4904*f - 2606. Calculate d(-164).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00059801 to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1 - 36 + 4*w**2 + 3 - 27*w + 3*w - 150 wrt w?\nAnswer: 8*w - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16.15 + -10.7. Let g = f + -6. Which is bigger: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 286002?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 444536358.\nAnswer: 2, 3, 7, 659, 16061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 136, 284, 434, 580, 716, 836, 934?\nAnswer: 1004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40514*p + 168 = -40526*p for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, y: 2, u: 1, t: 9}. Give prob of picking 1 u, 1 t, 1 f, and 1 y.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -57*f**2. Let h(k) = -7*k**2. Calculate s(h(o)).\nAnswer: -2793*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 2 = -k - 3*z, 4*k = -3*z - 4. Let b be 1 + (-1 - (k - 2)). Suppose 12 = l + b*l. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-754)\/(-87))\/(2727\/606*8\/(-54))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -o**6\/120 + 3*o**5\/40 + 5*o**3\/3 - 5. Let p(v) be the third derivative of z(v). Factor p(x).\nAnswer: -3*x*(x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-520)\/6*72\/(-30)*-7500. Round x to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194.39 rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 1 (c) -38 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 + 0*k**2 - k**2)*(-6*k**2 + 3*k**2 + 8*k**2) + (0 + 0 + k)*(-k**3 - 3*k**3 + 2*k**3) + 8*k**4 + 7*k**4 - 17*k**4.\nAnswer: -29*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*(a*((a*a**(-7\/2))\/a*a)\/a)\/a))**(6\/35) assuming a is positive.\nAnswer: a**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(35)\/(sqrt(21)\/sqrt(3))) - (-6*sqrt(99) + -3 + 0 + sqrt(11)))**2.\nAnswer: 108*sqrt(11) + 3573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**5\/6 + 326*k**4\/3 + 41025*k**3\/2 + 2610424*k**2\/3 - 2672288*k\/3 = 0 for k.\nAnswer: -296, -61, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10785 + 10785.2. What is the closest to 9 in 5, -5, 0, y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 7761*k = 7765*k + 14, 5*k = 3*n - 7 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13308185 divided by 5?\nAnswer: -2661637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuu. Give prob of sequence uuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 6) to base 14\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-450)\/(-22000))\/(390\/2860)\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -118, -121, -126, -133?\n\"Answer: -x**2 - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 126 (base 16) to base 2\nAnswer: 100100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/3, -102, 5, 0.029, -0.2, -0.4, -6\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + sqrt(119)*2*-1)\/sqrt(7) - (-2*sqrt(612))**2*3.\nAnswer: -7344 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 184*i**4 + 22820*i**3 + 89552*i**2 + 90256*i + 1920 = 0. What is i?\nAnswer: -120, -2, -1\/46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -296 + 6862*x**2 - 294 + 876 - 286.\nAnswer: 6862*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -7691*h + 230725. Calculate z(30).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5\/8 of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 160 in -4\/15, 0.2, 1\/2, 0.019?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 + 9)*32\/6 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1269*d**3 + 1265*d**3 + 3 - 6 + 3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*j**4 - 5841135*j**3 - 2129883*j - 1.\nAnswer: 60*j**2 - 35046810*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 99 + -99.02. Suppose -3 = g + o, 15*o + 1 = -3*g + 14*o. Which is the nearest to q? (a) -3 (b) -4\/5 (c) 2\/11 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 28 = -5*k, 5*k = 4*h + h - 10. Let q = k - -12. Let n(i) = -i**3 + 7*i**2 + i - 6. Let m be n(q). What is the highest common divisor of 3 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6509423?\nAnswer: 743, 8761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/1632 and -99\/544.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/10)*p*p*p*p\/(p\/(p*p\/((p*(p*p**(23\/5))\/p)\/p)*p)))\/(p**13\/p*p*p*p**(-9\/2)) assuming p is positive.\nAnswer: p**(-41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3478481 a multiple of 2293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 6 = 3*m. Suppose 0 = m*g - 4*k - 252, -g = -2*g + 4*k + 124. Suppose 0 = -6*h + g + 64. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -24. Let h = 181 - 184. What is the third smallest value in 4, h, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 48*i - 317. Let h be y(-8). Suppose 0 = -0*u - 2*u - 4. Put -3, h, -1, u in decreasing order.\nAnswer: h, -1, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 20 - (3 - (-1 + 0))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68802 (base 13) in base 8?\nAnswer: -563530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 155 - 4696*v**5 - 264 + 94 + 366*v wrt v?\nAnswer: -93920*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h**3*i**3 - 27*h**3 + h**2 + 66*h + 2*i**3 - 200*i**2 wrt i?\nAnswer: -3*h**3*i**2 + 6*i**2 - 400*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -2d?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**3 - 20*a**2 + 20*a - 46. What is z(9)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {r: 2, i: 2, k: 4, o: 9, n: 2, d: 1}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than 10.943?\nAnswer: 5.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -257 - -258.5. What is the third smallest value in 1, b, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d*m + 366149703*d - 305569625*m wrt d?\nAnswer: 2*m + 366149703","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 78 - 178. Let t = i - -141. Let w = t + -44. Which is the nearest to -0.07? (a) 3 (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-3)\/(-4)*264\/297. Which is the third smallest value? (a) 0.6 (b) 2 (c) 1.1 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30055 or -216?\nAnswer: -216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 27 - (-657 - -672)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -225*j**2. Let h(u) = 28*u**2. Determine -25*h(n) - 3*w(n).\nAnswer: -25*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -340, -332, -312, -274, -212, -120, 8?\n\"Answer: b**3 + b - 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.441767 + 19.\nAnswer: 17.558233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 6.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 0 - 6. Let w = 7 - g. What is the lowest common multiple of w and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003398413 rounded to seven dps?\nAnswer: 0.0003398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1072369600.\nAnswer: 2, 5, 670231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 107 - 4c?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*o**2 - 1 - 49*o**2 - 84*o**2 - 2 - 35*o**2.\nAnswer: -146*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k - 3*k + 2*k)*(331*k**2 - 21*k + 410*k**2 - 688*k**2).\nAnswer: -212*k**3 + 84*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 8*g**2 + 2*g + 16. Let y be f(-8). Suppose 18 = -3*i + 4*c + 4, 3*i + 4*c - 26 = y. Put 0.1, 7, -1\/2, i in descending order.\nAnswer: 7, i, 0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 466.59 - 470. Let l = -3.61 - r. Which is the smallest value? (a) 2 (b) l (c) 0.7 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of 7*g**5\/30 - 87*g**2. Let z(m) = 2*m**2. Determine z(a(l)).\nAnswer: 392*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - -278 - 8*(-7)\/(-56). Let y = q + -807. What is y rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 13*u + 126. Let q be n(-13). Let v be (q\/(-2))\/((-53)\/(-1696)). Calculate the highest common divisor of v and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.0103, 210 in descending order.\nAnswer: 210, 0.0103, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**6\/6 + x**5\/4 + 5*x**4\/4 - 25*x**3\/6 + 5*x**2 - 10*x. Find a such that u(a) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 867, 1745, 2639, 3555, 4499, 5477?\nAnswer: 6495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 29 = -68. Let a = 20 + -2. Let g = q + a. Does 3 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 153, -4, -2, -5 in ascending order.\nAnswer: -5, -4, -2, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8066.41 - -8022. Let p = -44 - h. Let t = 0.51 - p. What is the closest to -1 in t, -0.3, -6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7125\/58 < -123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 591\/(-39) + -3 + 6\/39. Let l be (-60)\/(-4)*(g\/(-5) + -3). Let b be (l + -10)*(0\/3 - 36). What is the highest common factor of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -q*r**2 + 99*q*r - 7*q + 92*r**2 - 688 wrt r.\nAnswer: -2*q*r + 99*q + 184*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26023\/63452 + -31\/547. Let t = -3\/29 + n. Factor -1\/2 - s**2 + t*s**3 + 5\/4*s.\nAnswer: (s - 2)*(s - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2863970 to the power of 1\/3, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2775581669 + -2775581827.9999801. Let d = i + 159. What is d rounded to six dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5714014013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 268 - 299. Let c(g) = 4*g**2 + 112*g + 7. Does 8 divide c(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37\/((-1665)\/54)*(-5)\/(-4)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19982020091 - 7747?\nAnswer: 19982012344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**15*d)*d)**(-4\/7) assuming d is positive.\nAnswer: d**(-60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -25*q**3\/3 - 7091*q. Let c(x) = 2*x - 105. Calculate p(c(b)).\nAnswer: -100*b + 5250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 1, -349 in descending order.\nAnswer: 1, -1\/7, -349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28763 and 201866952?\nAnswer: 4109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 19849 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + (43 - 5))*(1 - 2). Let x be (52\/(-8))\/(4\/y). What is the highest common divisor of x and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 40456, 80912, 121368, 161824, 202280?\n\"Answer: 40456*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2449.3536185 minus -0.3?\nAnswer: 2449.6536185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -597457*w**2. Let v(h) = -93*h. Calculate v(m(b)).\nAnswer: 55563501*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*j - 5. Suppose 0*s = -j*s + 630. Suppose -4*y = -5*i + 167, 0 = 4*i - 2*y + 5*y - 146. Calculate the highest common divisor of s and i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 12:22 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.93528 micrograms to nanograms.\nAnswer: 8935.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - -5 - 4) + -11 + (4 - -3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-130)\/4)\/(-13))\/(2\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*t - 8 = 2*r, -4*r + 3*t + 27 = 0. Let q = -20359\/5780 - 8\/289. What is the common denominator of q and r\/10 - 14\/(-8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k + 181. Let z(n) = -3*n + 179. Let s(g) = -6*u(g) + 7*z(g). Differentiate s(m) wrt m.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.1 (b) -3 (c) 1\/4 (d) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -o**6\/120 - o**5\/5 + 7*o**4\/12 + 3*o**3 - 120*o**2. Give x(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -196*f + 72*f - 55*f - 120*f - 56*f to b*f + w and give b.\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 13*h**2 + 2*h - 2. Let u(k) = 285*k**2 + 45*k - 45. Let a(c) = -45*d(c) + 2*u(c). Let o(f) = -7*f**2. Determine a(o(s)).\nAnswer: -735*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88598 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*h - 24, -3*a - 5 = -7*h + 6*h + 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -857*v - 460*v - 538*v + 14*v**3.\nAnswer: 14*v**3 - 1855*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 1. Let i be 26\/25 + (-2 - g). Is i < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 = 3*v + 4. Let x be (-1)\/(-6 - v\/(-9)). Put 0.1, -1, x, 0.2 in descending order.\nAnswer: x, 0.2, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -606687500 to the nearest 100000.\nAnswer: -606700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (44 - 39) + (-4 - 11) + -4?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 6:33 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6859718.\nAnswer: 2, 29, 101, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 56*u**2 + 57*u - 108. Let j be y(55). Solve -j*p - 9 = -9 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7090 is divided by 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 times -0.0089549?\nAnswer: -0.00985039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 6*j - 5. Let n be m(-4). Suppose n*h + 1 = -2. Let k be (-1)\/(-2)*2*h. Which is smaller: k or -1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 2*p + 12, -4*p + 0*p + 4 = s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 16, 3\/32, -0.2, -4, -1 in decreasing order.\nAnswer: 16, 3\/32, -0.2, -0.3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51222.\nAnswer: 2, 3, 8537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2039324 + -75319568\nAnswer: -77358892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (24 - 19 - (-15 + 4))) + (4 - -37)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, z: 8, t: 4}. Give prob of sequence tz.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -7. Let c = 8 - m. Solve -38*u**2 + 36*u**5 + 4*u + 120*u**3 + 20*u**5 - 55*u**c - 87*u**4 = 0.\nAnswer: 0, 1\/4, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10723 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 10. Suppose -s = 5*s - 12. What is the third derivative of 0*p**2 + 2*p**r - 2*p**5 - 2*p**4 + 2*p**s wrt p?\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 0*o**4 + 0*o**3 + 0 - 14*o**2 - 11\/168*o**8 + 0*o**7 - 2\/15*o**5 + 0*o**6 + 0*o. Find the third derivative of w(f) wrt f.\nAnswer: -1320*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -t**6\/27 + 62*t**5\/9 - 4055*t**4\/9 + 32980*t**3\/3 - 30345*t**2 + 29478*t + 436. Find p such that g(p) = 0.\nAnswer: 1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 60792, 77502, 94210, 110916, 127620?\n\"Answer: -j**2 + 16713*j + 44080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, g: 1, s: 1, z: 3}. Give prob of picking 1 s and 2 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*u - 7739 = 33331. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.90111 * 4\nAnswer: -7.60444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 5*n**2 - 3*n + 1. Let k be l(4). Let i(x) = -2*x**2 + 25*x - 50. Let c be i(10). Solve -2*j + 6*j - k*t = -31, c = 3*j + t + 9 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2552 greater than -5105\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 + 2*d - 12*d**4 + d**3 + 10*d**4 + 4*d**3 + d**2 - 14 in the form l*d**4 + a*d**2 + m*d + i + p*d**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -112 (b) 3308\/3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + x**2 - x - 1. Let w be s(0). Let y be (-120)\/18*w*3. Suppose g = 2*p - 0*p - 9, 0 = 4*p - y. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*h - v, 4*h + 9 + 11 = -3*v. Put h, -1, -3 in descending order.\nAnswer: -1, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1885 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three eighths of a hour?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1*y*y)**(-7\/10)*(y*y**0\/y)**(-27\/2) assuming y is positive.\nAnswer: y**(-21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2872233 a multiple of 1323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 1\/6*p**4 + 0 + 1\/6*p**3 + 5*p + p**2. Let l = 1 + 0. What is k(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (234\/(-99))\/(-13)*(-3)\/(-2)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1728*o**2 - 698887 + 698887.\nAnswer: -1728*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 113294962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*z = -14, -f + 1 = -2*z - 1. Let j be ((-11)\/2 - f)\/((-5)\/(-20)). Let h = 47 + j. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3\/2 (b) 252 (c) -2\/9 (d) -1 (e) 3\/20 (f) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/14250 and -117\/40250.\nAnswer: 2294250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*v + 4*v. Let c = 4 + v. Suppose 618 = c*l + 5*o, -3*l = 2*l - o - 1058. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28\/275 < 15\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 10:51 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 11:59 AM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 1731?\nAnswer: 4\/1731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 x when two letters picked without replacement from {x: 1, e: 1, v: 4, f: 2, j: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -950 + 982. Solve -o = -33*u + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 2*d**5\/5 - 6*d**4 + 32*d**3 - 80*d**2 + 96*d - 57. Factor c(y).\nAnswer: 2*(y - 6)*(y - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2352 (base 10) in base 4?\nAnswer: -210300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + 0*l**2 - 3*l**2)*(3*l**2 - 3*l**2 - l**3) - l**5 - 3*l**5 - 3*l**5 - 4 + 11 + 49*l**5 - 45*l**5.\nAnswer: -l**5 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*a - 52, 0 = -f - 2*a + 6*a + 8. Let x = -13 + f. Let n(r) = 2*r - 7. Calculate the lowest common multiple of 11 and n(x).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a millennium in months?\nAnswer: 19500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3326343 is divided by 415786?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t = -9*t - o + 7, o - 11 = 3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/812 or 0?\nAnswer: -5\/812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 152 and 32?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (136\/(-68))\/(1\/(-71))*1\/2*-1?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12112221002 (base 3) to base 11.\nAnswer: 75132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, l: 5, k: 2, f: 9}. What is prob of sequence of?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40*0.4766375.\nAnswer: 19.0655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 12:29 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**3\/3 - 7*r**2\/2 - 3*r - 4. Determine g(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5*r**3 - 5*r**2 + 119*r - 3. Let g(d) = -6*d**3 - 7*d**2 + 118*d - 4. Give -3*g(x) + 4*l(x).\nAnswer: -2*x**3 + x**2 + 122*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 + -14. Suppose q - 3*m = -2*q - a, 7 = 3*q + m. Is q\/(((-5)\/3155)\/(-1)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76497 divided by -1779.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a. Let w(m) be the second derivative of -5*m**3\/6 - 273*m - 1. Determine x(w(o)).\nAnswer: 25*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.242 + -5.842. Suppose 4 = -4*z + 16. Sort z, -5, t in increasing order.\nAnswer: -5, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40080)\/10688*(-5)\/((-540)\/32).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23b (base 13) to base 5.\nAnswer: 3023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 106\/4 + (-1)\/2. Suppose -s = 3*d - 23, 2*s + 16 + c = 5*d. What is the units digit of 0 + 2 + d*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2028629, 2028650, 2028671, 2028692, 2028713, 2028734?\n\"Answer: 21*g + 2028608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13 - -45) + -11 - (4 - 3)) + -2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 863040160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199 is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 279 and 93?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1\/i)**(-1\/47)*(i\/((i*i\/((i*i\/i**(-5)*i)\/i)*i)\/i*i))\/(i*i**(-2\/17)*i) assuming i is positive.\nAnswer: i**(53\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7192597 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 - 6 + 0)*(0 - 4 + 3)*(6 + 2*z - 6)*(2*z + 0*z - z)*(10 - 8 + 3) as r*z**2 + f + k*z and give r.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -866 minus 2252.739?\nAnswer: -3118.739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 (base 12) in base 2?\nAnswer: -110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 431272213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102234 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h**4 - 11*h**2 - 53773*h - 1294946 wrt h?\nAnswer: 8*h**3 - 22*h - 53773","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((2 - 0) + 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87\/5*y**2 + 0 - 21\/5*y**4 - 81\/5*y**3 + 3\/5*y**5 - 6*y = 0.\nAnswer: -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 17 + 65 = 0. Calculate the remainder when 15 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 10538*i + 10537*i + 5 to the form y + m*i and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 50*o - 4898 = 18*o. Solve -11*s = -o + 81 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-93454\nAnswer: -46727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 218143.8279 - 218165.82789926. Let i = 22 + w. Round i to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1019.\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*f = 2, -3*d + 1 = -4*f - 5. Let b(k) = -6 + k**3 - 2*k**2 - 3*k**2 - 3*k**d + k. Let s be b(8). Does s = 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 7*v - 5*w - 2 = 0, 3*v - 2*w = 10. Let f = v + 1. Let k be -3 + 2 + -2 + f. Solve k = -6*n + 3*n + 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0 (b) -0.5 (c) 6\/7 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.5 + -23. Which is the closest to t? (a) 3 (b) 0.4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*p + 7, -3*p - 3 = -0. Suppose 4*y = 3 + 21. Suppose -y*r = -m*r - 3300000. Round r to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 34*q**2. Let c(l) = -6*l + 5. Let k(g) = -4*g**3 + 3*g - 2. Let r be k(1). Let p(b) = 3*b - 3. Let y(u) = r*c(u) - 5*p(u). What is j(y(n))?\nAnswer: 306*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4671518.\nAnswer: 2, 47, 49697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s**2 + 12*s - 301. Let j(k) = 7*k**2 + 22*k - 601. Give -6*j(i) + 11*v(i).\nAnswer: 2*i**2 + 295","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 90*f - 878. Calculate j(-1).\nAnswer: -968","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v**2 - 10*v - 21. Give d(-6).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 10:58 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120396199 and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32978.\nAnswer: 2, 11, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210120 - 11?\nAnswer: 210102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*m + 73, 2*m = o + 43 + 14. Suppose 0 = -2*d - 3*l + 422, -d - 27*l = -m*l - 213. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g - 49*g + 41*g - 5)*(2*g - 2*g - 2*g) in the form h*g**2 + q + p*g and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 8:04 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1937096503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008800468 rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 80\/9*z**2 - 800\/9*z - 2\/9*z**3.\nAnswer: -2*z*(z + 20)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*u + 3 - 36 = 0, u + 3 = 0. Let x be (-12)\/9*(-1)\/((-80)\/90)*-10. What is the highest common factor of g and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 668, 0.24, 3, -2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -5*d**4\/8 - 4*d**2 + 4*d. Let r(n) be the first derivative of i(n). Let y(l) = -l**2. What is r(y(q))?\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 8*d**2 - 7*d + 10. Let b = -130 - -135. What is the hundreds digit of n(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -g**6\/780 + 4*g**5\/195 + 3*g**4\/52 - 1172*g**2. Find v, given that i(v) = 0.\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 78 = -10*d. Suppose -4 = -j - 0*j. What is the remainder when d is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10832, 10337, 9842, 9347?\nAnswer: 8852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7160, 14330, 21508, 28694, 35888?\nAnswer: 43090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -5, -3, -1 in increasing order.\nAnswer: -7, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 337888, 5\/67, -5.\nAnswer: -5, 5\/67, 337888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/15143 and 37\/7.\nAnswer: 106001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 2462017.\nAnswer: -2462016.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 11*w = 16. Suppose -2*s - 3 = -w*u + 1, 2*s + 19 = 5*u. Let 3\/5*j**s + 0*j + 0*j**2 + 0 + 3\/5*j**5 + 6\/5*j**4 = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u + 10. Let g be h(3). What are the prime factors of 51*((-16)\/6)\/g?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -6*q**2 + q - 9. Let r(c) = c**2 - c + 1. Let j(y) = -l(y) - 5*r(y). Calculate j(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111025980 divided by -2135115\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360 = 4*l - 9*l. Suppose -3*n + 0*n = -l. What is the common denominator of -22\/5 and 278\/n + (-2)\/1?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.067849 - 0.131306. Round l to two decimal places.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**4 + 7*a**3 - 7*a**3 + (4*a**3 - 4*a**4 - 4*a**3)*(4 - 4 - 2).\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**7\/6 + p**5\/10 + p**4\/4 + 11*p**3\/2 + 262*p + 2. Find the third derivative of f(b) wrt b.\nAnswer: -420*b**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 2:41 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4619)\/(-13857))\/(-7*1\/18)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/1*2\/(-2))\/(-2). Find the second derivative of 4*o + 5*o**5 - 28*o - 31*o**l - 21*o wrt o.\nAnswer: -520*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**3 + 4*u**3 - 2*u**3 + (0*u**3 + 2*u**3 - u**3)*(-4 - 1 + 3) + 0*u**3 + 3*u**3 - 5*u**3 + (15*u + 6*u - 12*u)*(-1 + 1 - 2*u**2)*(-1 + 0 - 5).\nAnswer: 102*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 159*d**2 + 3*d + 1. What is the tens digit of x(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 0 (c) 1\/3 (d) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 696 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 6*i - 2)*(-2*i**2 - 2*i**3 + 2*i**2)*(5 - 2 - 1).\nAnswer: -24*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 11:15 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -7 + -11 + 11\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 6*m - 5. Let q be t(-14). Let d = q - -151. Let s = 107 - d. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 5, 0, 1, -3, 61.\nAnswer: -3, 0, 1, 3, 4, 5, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 4 (c) 2\/51 (d) 30\/19 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 1\/6*t**3 + 0*t**4 - 11\/30*t**6 + 0 + 0*t**5 - 11*t + 0*t**2. What is the second derivative of n(m) wrt m?\nAnswer: -132*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47159904577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 0*j**4 - j**4 + 83*j**2 + 4 + 79*j**2 - 174*j**2 - 2*j**3 in the form f*j**2 + u*j**4 + i + n*j**3 + o*j and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 871 + 196*n - 365*n + 162*n - 859.\nAnswer: -7*n + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7952*u - 7939*u + 156 = 0 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 5*c + 5 = -5*l, 8 = 4*l. Suppose 5*b + z = 20, -z + 1 = 2*b - 7. Solve -3*q**4 + 3*q**b - 3*q**4 + 4*q**5 + 4*q**2 - q**4 - 4*q**c = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -160*r - 802. Calculate the remainder when c(-7) is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 12:07 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 - -42. Let a(m) = -25*m + 7. Let x = 7 + -3. Let n(u) = -6*u + 2. Let g(y) = h*n(y) + x*a(y). Differentiate g(s) wrt s.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-6)*c*(c*(c**1\/c*c)\/c*c*c*c)\/c)\/((c\/(c**(1\/10)\/c))\/c*c**(-3\/4)) assuming c is positive.\nAnswer: c**(217\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nf when two letters picked without replacement from {i: 3, f: 2, n: 3, p: 1, y: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/67344 and 125\/3312.\nAnswer: 202032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -290, -329, -378, -443, -530, -645, -794, -983?\n\"Answer: -o**3 + o**2 - 35*o - 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1058851 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 t(w) = -31*w + 1. Let j be t(3). Suppose -2*g + 0*p = -p - 1, -9 = 3*p. Let u be j\/(-24) - g\/6. Solve u*a - 1 = 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(342)\/sqrt(81))\/(sqrt(24)\/(sqrt(588) - sqrt(12))).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -171520, -343038, -514556, -686074, -857592?\n\"Answer: -171518*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -112 + 77.5. Let w = 39 + f. Let r = w + -4.5002. What is r rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u + 72616*u**2 + 6 - 2*u**3 - 72722*u**2 - 5 to the form q*u**3 + v*u**2 + c + i*u and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 3391233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 + -30.3. Let d = 5 - o. Let x = 0.8 - d. Put 0.3, x, -3\/2 in decreasing order.\nAnswer: x, 0.3, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 453868 (base 9) to base 6\nAnswer: 5454442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n - 30 - 52 = -5 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -36*j - 1. Suppose -9 + 18 = 3*m. Suppose -m*h - v - 4 = 4, -4*h + 2*v = -6. Is z(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2990, 4429, 5868, 7307, 8746?\n\"Answer: 1439*t + 1551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56545*p**3 - 76933*p**2 wrt p?\nAnswer: 339270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -4\/31, 4, -2\/13, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 - 26. Let f(y) = -y + w - y + 0*y. Let i(r) = -r + 6. Let x be 3\/(-6)*12\/(-1). Determine x*f(d) - 11*i(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + -5 - 3) + (8 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/20*(-16)\/30. What is the closest to v in -0.5, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8816 + 8816.3. Sort z, 0.82, -2 in ascending order.\nAnswer: -2, z, 0.82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(2) - sqrt(18) - sqrt(2))*1.\nAnswer: -9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 19, 26, 37, 52?\n\"Answer: 2*n**2 + n + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*k - 5*w, -2*k + 7 = 2*w + 13. Solve 6 = -4*f - 3*g - 4, 3*f - g = -k for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13307675 to the power of 1\/2, to the nearest integer?\nAnswer: 3648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*b = -9*o + 306, -2*o + 3*b = -117. Let q = -29 + o. Suppose 0 = 4*i - 3*i - q. List the prime factors of i.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1)**46*h**(2\/7)*h*h*h**(-1)*h)\/((h*h**5*h)\/h**(-1))**(26\/5) assuming h is positive.\nAnswer: h**(234\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 978*q**2 - 561*q**2 - 686*q**2.\nAnswer: -269*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-10) - (-1444)\/10. Suppose -3*s + 70 = 3*b - 2*b, -5*s + 4*b = -v. Solve 5*c + 2*x = -s, 0*c - 2*x - 19 = 3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + -21. Suppose -n*q = f - 6, 3*f + 1 = q - 7. Suppose q*z - 25 = 2*x + 207, -6 = -3*x. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.576 + 7.6\nAnswer: 7.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1150 - 1024. Let x = -0.82 - 120.18. Let a = v + x. Which is bigger: a or 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2321\/7 - 331. What is the second biggest value in s, -1, 1\/16?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from vnvnnvnnnvnnnnnvnn.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 175514 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: Factor -w**2 + 6578731*w.\nAnswer: -w*(w - 6578731)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o**3 + 5*o**3 - 4*o**3 + 8*o**2 + 5*o**3 - 3*o**3 - 3 to the form t*o**2 + k + h*o + w*o**3 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, i: 5, z: 1}. Give prob of picking 2 t.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/12*10 - (-2)\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, w: 2}. Give prob of sequence zw.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-35)*2)\/2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -6*j - 24. What is the remainder when 70 is divided by h(-10)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40*k**3*m**3 - k**3*m**2 - 709*k**3*m - 24*k**2 - 3*k*m**3 + 20 wrt k.\nAnswer: 240*m**3 - 6*m**2 - 4254*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 221*p**3 - 4420*p**2 + 172*p - 3430. Determine w(20).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/(h\/h**(-1\/5))*h\/(h\/h**(-10)*h))\/(h**(-2)\/(h**(-1)*h)))**(-2\/99))**(-34) assuming h is positive.\nAnswer: h**(-2788\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o**2 + 27*o - 238. Give d(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -41*f - 78 + 152 - 73 + 7*f + 1 - 4*f - 3 + 0 - 2*f + 0 + f + 2*f - 4*f + (2 + 4 - 4)*(2*f + 0*f + 0*f) - 4*f + 0*f + 2*f.\nAnswer: -39*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4586*x + 4580*x - 6. Let c(g) = 7*g**2 + 6*g. Calculate c(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (30\/9 - 4)\/(5\/(-30)). Suppose -95*k + 30 = -90*k. Solve -g = -2*y + r, -2*g - 5*y + 10 = -k*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 98*w**2 - 46*w - 127*w**2 + 46*w as c + p*w + b*w**2 and give b.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - (-11 - -25) - 15) + (28 - 122)?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 18 + 1 = 2*w, -2*x + 5*w = -39. Suppose x*p - 2213 = 475. Is p a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140 and 240.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 55\/2 of a meter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 420851 and -0.1.\nAnswer: -42085.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1783238730, 1783238731, 1783238732, 1783238733?\nAnswer: 1783238734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 13*m - 4245 = 0. What is the remainder when m is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by 16\nAnswer: -31\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**5 + s**3 - s**3)*(4 + 0 - 2) - 2*s**5 + 2*s**2 - 2*s**2 + 2 - 2 - 2*s**5 - s**3 + 2*s**5 + s**3 + (-s + s - 2*s**5)*(7 - 3 - 2) + s**5 - 3 + 3.\nAnswer: -s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**3 - 6*a**3 + 2*a**3 + (3*a - 2*a - 3*a)*(-11*a**2 + 14 - 14).\nAnswer: 17*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u - 4. Let b be k(-3). Let i be ((-2 - b)*-1 + 0)*3. Suppose 5*y - 5*x = 3150, -2*x + i*x + 3154 = 5*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/5))**(-1\/7)*(m**(1\/3))**49 assuming m is positive.\nAnswer: m**(1721\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(6*1\/(-3)). Let f(k) = k**3 + k**2 - k + 3. Determine f(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 113, 109, 105?\n\"Answer: -4*m + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*d = -0*j + 8, -4 = 3*j + 4*d. Let o = -61238\/7 - -8697. Let v = -51 - o. Put v, 5, j in ascending order.\nAnswer: v, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11733, 21472, 29163, 34800, 38377?\nAnswer: 39888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, x: 13, o: 3}. Give prob of sequence doxd.\nAnswer: 13\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 202\/(5 + (-26)\/6). Let f be (-39105)\/22*(-2)\/12. Let w = u - f. What is the common denominator of 23\/2 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 25*n. Let s(a) = -6*a - 8. Let p(b) = -7*b - 10. Let v(t) = 4*p(t) - 5*s(t). Calculate v(y(k)).\nAnswer: 50*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5727461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 105 - 65. Let b = d + -23. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j - 11. Let z be t(-8). Let c(l) = 4*l + 1. Let u(w) = 7*w + 1. Give z*c(i) - 3*u(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**3 - 1792*l**2 + 42218*l - 51462. Give q(-919).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0*l = -3*a + 4, 0 = -4*l - 8. Suppose 0 = -a*q - 5*q + 60. Calculate the highest common factor of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 9*t**2 + 3*t + 3. Let p be o(-7). Let d = p + -20. List 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 r(s) = -1 + 1 + s. Let p(h) = -25*h + 6. Let y(d) = -399*d + 95. Let i(c) = -95*p(c) + 6*y(c). Determine i(r(w)).\nAnswer: -19*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7001\/6 - -1159. Calculate the common denominator of -13\/12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 + 107. Suppose -r = -3*g + 4*a, 2*g - g + a - 33 = 0. What is the lowest common multiple of 28 and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4916 is divided by 674.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 350 - 346. Is (x\/(-16))\/((-4)\/36944) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 1, -28?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -3, 3 in increasing order.\nAnswer: -3, -0.7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 4*k - 3. Let i be g(-4). Let l be (-2 - -1)*(-1)\/i. Let h = 0.17 - 0.07. Which is greater: h or l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 463 + -387. Calculate the greatest common divisor of 19 and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3837580647658+20.4\nAnswer: -3837580647637.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(4*x - 31*x - 114*x)*(1 + 0 + 2 + (4 + 0 - 2)*(2 - 1 - 2) + 1 + 0 + 2).\nAnswer: -564*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(4\/7))**(3\/7)*(h*h**(1\/5))**(2\/19) assuming h is positive.\nAnswer: h**(1728\/4655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3413905686.\nAnswer: 2, 3, 23, 1097, 7517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**4\/9 + 328*m**3\/9 + 7198*m**2\/9 + 3292*m + 3680 = 0.\nAnswer: -15, -3, -2, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12854?\nAnswer: 2, 6427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujhn when four letters picked without replacement from jynhu?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -716.9 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(70) + sqrt(70))\/sqrt(10) + (0 + sqrt(28) + sqrt(28))**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*v - 22, o + 2*v - 16 = 4*o. Let a(q) = -197 - 197 - 204 - 204 + q + 803. Let x(k) = -2*k - 1. What is o*x(u) - 3*a(u)?\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 1288 = -5*l, b = 2*l + 6*b - 505. Calculate the highest common divisor of 20 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -621*a**3 + 1343*a**3 - 716*a**3.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -1) + 103 + -5810 + 5800.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3 = -15. Let h be (t\/(-3))\/(18\/27). Factor 2\/7*x**h - 8\/7*x + 8\/7*x**3 - 2\/7.\nAnswer: 2*(x - 1)*(x + 1)*(4*x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25529771?\nAnswer: 31, 823541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l - 5. Suppose p - 4*p = -111. Let t be p\/7 + 2\/(-7). Let c be m(t). Put 2, 4, c in decreasing order.\nAnswer: 4, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4 = 8. Let x be (-16)\/(-10)*20\/4. Let i = 19 - x. What is the remainder when i is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -128, 5, -1\/60, -5?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**4\/7 - 32*s**3\/7 + 296*s**2\/7 + 1440*s\/7 - 8100\/7.\nAnswer: -4*(s - 5)**2*(s + 9)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 541096 and 717?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -14*g**3 + g**2 + g. Give m(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-31)\/(434\/84) - (-1 + -4). Is -2\/431 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 656.2 + -668.2. Which is the third smallest value? (a) d (b) -9\/8 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 + (3 - 2) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 72 - 83 = d, -3*d - 478 = 2*q. Let c = 290 + d. Let i = c + -100. What is the remainder when 56 is divided by i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26845 + 53690 - 26845 - 11229*p to s + l*p and give l.\nAnswer: -11229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*s**3 + 3*s - 42.\nAnswer: 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8, 18, 30, 44, 60?\n\"Answer: f**2 + 7*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 27*z + 16. Is 53 a factor of t(30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1 - 14*v**3 - 29*v**3 + 8 + 11*v**3 wrt v?\nAnswer: -96*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 12:40 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2241 divided by -4?\nAnswer: -2241\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -19. Calculate the common denominator of -41\/9 and (d\/(-8))\/((-4)\/(-536)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -141*i - 2. Let w(q) = -5*q - 6. Let h(r) = 7*r + 8. Let k(d) = -3*h(d) - 4*w(d). Give n(k(b)).\nAnswer: 141*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -12, -4*u + 0*u + 212 = 5*i. Calculate the greatest common divisor of 32 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -135, -2, -144 in decreasing order.\nAnswer: -2, -3, -135, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1870, 3737, 5604, 7471, 9338, 11205?\n\"Answer: 1867*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + k + 8. Let o be l(-4). Let g be (-8 + 0)*o\/(-24). Let i = 0 - g. Solve 0 = -i*w + 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4650 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.45479mm to kilometers.\nAnswer: 0.00008945479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 2:20 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + t**2)*(-1 + 1 - 1) + 26*t**2 - 10*t**2 + 6*t**2 + 3*t**2 - 3*t**2 + t**2 + (-6*t + t + 3*t)*(2*t - t - 3*t) + 0*t**2 - 3*t**2 + 4*t**2.\nAnswer: 27*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 + 56. Suppose -4*r = -4*a + 4, -r - 2*a - 2 = -7. Suppose 2*s - 11 = r. Calculate the remainder when b is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 10) to base 4\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*6 + (2*sqrt(17)*5 - sqrt(17)))*6.\nAnswer: 126*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 11:42 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a day in seconds?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-217)\/90706)\/(28\/308)?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-13 + 31) - -3 - (1 + 43).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**5\/2 - 5171*q**4\/2 - 349947*q**3 + 4325915*q**2 - 31450125*q\/2 + 31664125\/2 = 0. What is q?\nAnswer: -137, 5\/3, 5, 1849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -43048311231890 and 0.\nAnswer: -43048311231890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/2 of a millimeter in micrometers?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1791*v**3 - 1651?\nAnswer: -5373*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + -6*(0 - 1). Let o be -3*(0 + (1 - 2)). Suppose 0 = -x + v + o. Does 4 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(-3*sqrt(4))*1 + -2 + 5*sqrt(44)\/sqrt(4).\nAnswer: -2 + 14*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from izxximbxxxxizsimb. What is prob of picking 1 i, 1 x, and 1 s?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 469428800 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {n: 5, i: 5, d: 8}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 36*a - 65. Let x be i(34). Let v(k) = 11*k + 4. Let g be v(x). Suppose 5*r = g + 28. What is the remainder when 73 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 10110010010000110010010?\nAnswer: -10110010010000110010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -7*f**2\/2 - 575. Let t(d) = 16*d**2 - 1. What is s(t(n))?\nAnswer: -112*n**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - d + (27 + 4 + 11)*(-d + 2 - 2).\nAnswer: -43*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1877*n - 1849*n = -252 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3726 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 144 and 12.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 193990 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**7\/210 + 11*r**6\/120 - 11*r**5\/20 + 5*r**4\/24 + 25*r**3\/3 + 319*r**2 + 2*r. Let i(n) = 0. What is n?\nAnswer: -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*1\/((-3)\/((-9)\/(-6)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3268?\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14583?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l + 4. Let w be o(-3). Suppose 39 = -6*d + w*d. List the prime factors of d.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbhwwwh. What is prob of picking 2 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 7*n**3 + 0)*(-8 + 8 - 4*n).\nAnswer: 28*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-15)\/i)\/((i*i*i\/i**(1\/9)*i*i)\/i))\/(i**16)**(-7\/2) assuming i is positive.\nAnswer: i**(325\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 88 = 2*i. Suppose -4*r + d = 2*d + 20, 2*r - 4*d = i. Let o be 1\/(-1) + 0 - -1. Sort -8, r, 1, o in ascending order.\nAnswer: -8, r, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 5*g + 12. Determine b(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 523.6 + -524. Suppose -15*p = -10*p - 10. What is the nearest to p in 0, v, -6\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 2224?\nAnswer: 2231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4*w - 42. Let u(a) = -2*a - 21. Give -2*l(g) + 5*u(g).\nAnswer: -2*g - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -321 + 271. Let k = -21 - m. Solve 0 = -k*c + 1 - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -583 + 5104?\nAnswer: 4411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-1))\/(5 - 3). Let q be (5 + b)*1 - -6. Let u be (-21)\/q*-3 - 2. Solve 2 - u = x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h - 19. Let f be g(-8). Suppose 0*x + 25 = f*x. Let d = x + -5. Which is bigger: d or 2\/139?\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(30\/(-4))*198. Let g = o + -112. What is the greatest common divisor of 15 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001 - -22?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8844303360642 - -1.\nAnswer: -8844303360641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*1 - (-3 + 3). Let t = q - -3. Let i be 3\/15 + t\/5. Is 0 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s + 16. Let z(n) = 5*n - 7. Let o(g) = 6*g - 6. Let u(y) = -4*o(y) + 5*z(y). What is 5*m(r) + 7*u(r)?\nAnswer: -3*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -6*q - 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 92 + -81.8. Let f = -11 + c. What is f rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-9)*f\/f**(-8)*(((((f*f**1)\/f*f)\/f)\/f)\/f*f)**(-2\/17) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -731, -2942, -6631, -11798, -18443, -26566, -36167?\n\"Answer: -739*r**2 + 6*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 146706991 to the power of 1\/3, to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 186\/7 or 27?\nAnswer: 186\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -20\/7*h**7 + 0*h**6 + 0*h**2 + 31\/3*h**3 + 0*h**5 + 0*h - 10 - 3\/4*h**4. What is the third derivative of r(u) wrt u?\nAnswer: -2400*u**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -9*d**3\/7 + 49405638*d**2\/7 - 115279755*d\/7 - 98811234\/7 = 0.\nAnswer: -2\/3, 3, 5489513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*b = f + 110*b + 16, 8*f + 52 = 4*f - 2*b for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b06 (base 14) to base 11\nAnswer: 1696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 26\/6 - (-7)\/(-21). Let j(m) = m**2 - 3*m - 4. Let o be j(s). Let y = 204 + -207. What is the second biggest value in o, -2, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a meter in millimeters?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8\/32 - 1559304\/(-96).\nAnswer: 37, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8245 + -3895. Does 50 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3248412091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 809, 830, 873, 944, 1049, 1194, 1385, 1628?\nAnswer: 1929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99 + 60 + -19 + -95.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 - 9196*g + 5507488.\nAnswer: (g - 8552)*(g - 644)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**3 + 3159*a**2 - 833184*a + 830028 = 0.\nAnswer: 1, 526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1170 = -16*b - 2*b. Calculate the greatest common factor of b and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/5 + 1595\/25. Suppose -140 = 4*m + m - 4*y, 20 = -4*y. Let v = m + n. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oaaaaoao. Give prob of picking 3 a.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/12778)\/(36\/72) + 0. Let r = 428079\/51112 + c. What is the common denominator of 23\/36 and r?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a = 30*z - 28*z + 38, a + 2*z + 3 + 6 = -2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 4*a**2 - 5*a + 2. Let x be 1\/(-5) - (-16)\/5. What is w(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10830 = 1247*u - 164*u for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f - 29. Let b be c(-20). Let i(a) = 3*a + 50. Let n be i(b). Suppose -4*j + n = -217. Does 14 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 less than or equal to 205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -20. Let a(q) = q**3 + 5*q**2 + 3*q. Suppose 3*w + 4 = -5. Let l be a(w). Solve -3*h + s = -l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4900010 = -o, -3*o - 5*n + 3*n - 14700010 = 0. What is o rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40029?\nAnswer: 3, 11, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*j + 226 = -0*j, 2*j = 5*g - 1162. What is the greatest common divisor of g and 1950?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-6))\/((1\/(-24))\/1). Suppose p + p = c. What is the remainder when (-1 - -2)\/(2\/34) is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*b - 55*b = 1053 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(-2\/7)))\/o)**26*(((o\/(o\/(o*o**(-1\/13)*o)))\/o)\/o)**(-50) assuming o is positive.\nAnswer: o**(-2692\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*u**2 + 10*u**2 - 9*u**2)*(-775 - 3*u**3 + 1563 - 778).\nAnswer: -36*u**5 + 120*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) 0 (c) -0.3 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22932 by 147.\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a**3 - a**3 + a**3 + (2*a**2 - 1 + 1)*(2*a + a - 5*a) + 0*a**3 - 3*a**3 + 6*a**3 + 3*a**3 - 5*a**3 + a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 3 - -6 - -1. Let j be 1\/(-14) - 1188\/(-168). Let n = k - j. Solve n = 2*g + g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 4. Let r = 5 - i. What is the derivative of -4 + 4 + 2*j**2 + r wrt j?\nAnswer: 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 35*g. Let k(f) = 595*f. Let q(j) = -6*k(j) + 105*p(j). Let s(d) = -8*d. Determine -2*q(m) - 27*s(m).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -96 - -98. Sort 3, s, -76 in descending order.\nAnswer: 3, s, -76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12389 and 536432.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16347*b - 3635 + 16346*b + 3635.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1350611, -2701191, -4051725, -5402189, -6752559, -8102811, -9452921, -10802865?\nAnswer: -12152619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 65519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.25 - -0.8. Let u = w + 5.25. What is u rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 719, 738, 777, 842, 939, 1074, 1253?\nAnswer: 1482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12934565 and 35.\nAnswer: 12934565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -863, -864, -849, -818?\nAnswer: -771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 0 (c) 40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 14967 - 15040 = 4*f, 3*f + 2*u + 60 = 0 for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 184, 919, 2714, 6097, 11596, 19739, 31054, 46069?\n\"Answer: 88*q**3 + 2*q**2 + 113*q - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {t: 1, p: 3, z: 5}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c. Let l(q) = 157086066*q**2 - 160216*q + 45776. Let u(s) = 34317*s**2 - 35*s + 10. Let m(b) = -5*l(b) + 22888*u(b). Calculate m(w(h)).\nAnswer: 68664*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 - 408*w + 15884. What is c(152)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 81268264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 296688 and 328.\nAnswer: 12164208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 454683?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-248)\/16)\/((-1)\/26)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 932 and 22135.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**3 - 4*h**3 + h**4 + (-2*h - h**2 + 2*h)*(h**2 - 5*h**2 - h**2).\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365 is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.17 - -0.07. Let l(t) = t**3 + 3*t**2 - 5*t - 3. Let c be l(-4). Suppose 4 = -3*x + c. Is z >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o + o - 4*w + 19 = 0, 0 = -3*o - w - 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -0.0870393.\nAnswer: 0.3129607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*v + 123*v = -3*r + 241, r + 4*r + 4*v + 131 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 287280 divided by 5985.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/64 + 134\/8 + -6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 g when two letters picked without replacement from kkdknngkwd?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2. Let r(h) = -5. Let i(v) = 7*q(v) - 3*r(v). Let s(b) = -52*b + 7. Let g(f) = 4*i(f) - s(f). Is g(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33004 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 12*n**3 + 83*n**2 + 9. Let q(h) = 16*h**3 + 124*h**2 + 13. Calculate -7*p(w) + 5*q(w).\nAnswer: -4*w**3 + 39*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + a**2 + 17*a + 1. What is j(5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -0*s - 2*h + 11319, -2*s + 4*h = -22662. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 11*r**2. Let u(c) = -14382*c. What is g(u(f))?\nAnswer: 2275261164*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.75625 rounded to two decimal places?\nAnswer: -6.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -805*j - 52325. Give t(-65).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*b + 2*y = 0, -25 = 5*y. Let m(r) = -r**2 - 6*r + 6. Let x be m(-6). Suppose -b*t = -t - x. Calculate the remainder when 10 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 7*h**3 - 2*h + 3. Suppose 0 = -p + 3*n + 94, 330 = 16*p - 13*p + 3*n. Calculate the remainder when p is divided by k(2).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -716*g - 1417. Give t(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**24*o)\/o)\/o)\/o*o**(-7)*o*o**6*o\/(o\/o**2))**16 assuming o is positive.\nAnswer: o**384","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 11, m: 6, p: 2}. Give prob of picking 2 m and 1 c.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16714261 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-13 - -2)*(-15468)\/66?\nAnswer: 2, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1279 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11.34704 and 5?\nAnswer: 16.34704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005467 to seven decimal places.\nAnswer: 0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(105)*1)\/sqrt(7) - 4*(sqrt(15) + sqrt(45)\/sqrt(3)))\/((sqrt(3) + (sqrt(3) - ((sqrt(33) + sqrt(33)*2)\/sqrt(11) + sqrt(3))) + sqrt(3))*-4*5).\nAnswer: -7*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3526 = 2*b, 5*q = -2*b + 591 + 3830. Solve 879*u + 12 = q*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -64, -55, -24, 41, 152, 321, 560?\n\"Answer: 2*p**3 - p**2 - 2*p - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2138 is divided by 403?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 370, 358, 348, 340, 334?\nAnswer: 330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3363830280 a multiple of 5541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1080)\/(-200)*15\/9\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 151300, 151275, 151244, 151213, 151188, 151175?\nAnswer: 151180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32336\/37 + 874. What is the biggest value in q, -2, -4\/7, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1100) + 1 + sqrt(11) + sqrt(55)\/sqrt(5) + -2.\nAnswer: -1 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2389\/2169 + 7\/723. What is the nearest to a in 0.6, -5, -4, 2\/11?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.517 - -0.783. Round m to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*g - 3*g**3 - 8*g)*(-3 + 0 + 1)*(-103*g - 65*g**2 + 16*g**2 + 102*g).\nAnswer: -294*g**5 - 6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2. Let c(i) = 944480969*i**2. Determine b(c(r)).\nAnswer: 1784088601606357922*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/8 - 2867161*u - 16441224399842.\nAnswer: -(u + 11468644)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/48 - -31\/48. Suppose 21 = -5*t + s + s, s + 6 = -3*t. Let f = -16 + 21. What is the second biggest value in f, r, t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 102 + -27. Calculate the remainder when m is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3382753499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/3, -3, -13.99, -1\/154?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9803382 is divided by 38?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - m + 2 = 0, -183*z + 179*z + m = 17 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 4 = -11*a. Let q be a + 323 + -2 + 0. Suppose -24 = 5*o - q. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**5\/60 - 12*w**2. Let n(f) = 2*f. Determine y(n(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 11*q**2\/2 + 44. Suppose -2*h + 0*h = -4. Let m(w) = -2*w**2 - h*w**2 + 3*w**2 + 2*w**2. Determine i(m(a)).\nAnswer: 11*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -5, -2277, -8, -1\/5, 2?\nAnswer: -2277","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -2 + (-1 - (-801 - -2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m - 1921 = -1904. Is m not equal to -1\/804?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1\/2*o**4 + 146882*o**2 + 0*o + 542*o**3 = 0. What is o?\nAnswer: -542, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -360d64d?\nAnswer: -360d650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - 4*r**2 + 4*r**2)*(70*r - 29*r - 1 - 33*r)*(4*r**2 + 0*r**2 - 3*r**2).\nAnswer: 8*r**5 - r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/7, -11, -2, 73, -2\/3 in increasing order.\nAnswer: -11, -3, -2, -2\/3, -2\/7, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1733*x - 1205?\nAnswer: -1733","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 94*f**2 - 5*f + 3. Let t(s) = s - 1. Calculate -p(o) - 5*t(o).\nAnswer: -94*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 41.3*-0.44\nAnswer: -18.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -100*d - 703. Determine q(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*t = -2*g + 12, 0 = 2*t + 2. Let y(d) = -d**2 - 11*d - 8. Let u be y(-7). Solve g = -5*v - u for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 315483\/496755 - (-4)\/(-114).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8130084m to millimeters.\nAnswer: 813.0084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 11:28 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -5*i + 10, -5*z + 0*i + 4 = 2*i. Let s be z + -480*(-30)\/9. Suppose 9*f = 8*f + s. Round f to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 9. Let w be 357\/(-14)*2\/(-9)*-51. Let a = -297 - w. Give x(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(392) + (sqrt(8) - sqrt(48)\/sqrt(6))*5 + sqrt(8))\/(-2*-1*sqrt(484)*-1).\nAnswer: -15*sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 15*z**3 + 5649*z + 6*z**2 + 5652*z + 5650*z - 16957*z - 2. Let b(d) = -5*d**3 - 2*d**2 + 2*d + 1. What is -8*b(g) - 3*v(g)?\nAnswer: -5*g**3 - 2*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a + 1. Let d = -22 + 25. Let x be n(d). Let z be (-7 - -6)*0\/x. Solve z = y - 6*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**2 + 5*j - 6. Calculate the smallest common multiple of (-13 - 5)\/(-6) + 37 and h(-5).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppppppp. What is prob of picking 3 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 69*d - 62. Let j be g(1). Solve -24 = -4*s + 5*l, -4*l - j = -3*s + 12 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 310*m**3 + 1338*m**2 - 2970*m**2 + 1634*m**2.\nAnswer: 310*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + 31. Let y be 2\/(2\/(-4)*-2). Let p be 2 + 12*y + 1. Calculate the highest common divisor of j and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 289146.90774 - 289201.9. Let i = 78.992272 + p. Let a = 24 - i. What is a rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3936.45765 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 6. Suppose -7*o = -5*w - 2*o, 4*w + 2*o - 12 = 0. Suppose w*c + 5*z = 22, 3*c - 18 + 3 = -f*z. Let p(d) = -3*d. What is p(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -25851789, -51703557, -77555325, -103407093, -129258861, -155110629?\n\"Answer: -25851768*t - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32617215?\nAnswer: 3, 5, 307, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18879.65t to micrograms.\nAnswer: 18879650000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3220 - 1?\nAnswer: 3213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 422588370 divided by 6.\nAnswer: 70431395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-3)\/(-9))\/((-30)\/105*(-2527)\/228)?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {g: 2, l: 1, f: 1, o: 3, b: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/(-9) + 4*(-3)\/12. Is 334 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*k = y + 84, 3*k = 3. Let o(i) = -9 + 82*i - y*i - 41*i. Calculate o(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**2 - 16*i - 44 + 19*i + 4*i**3 + 46 + (7*i**2 + i**3 - 7*i**2)*(5 + 0 - 4).\nAnswer: 5*i**3 - 4*i**2 + 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 6 + 23 + 2 - 8 + 7323*q as a + u*q and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008602 rounded to 7 decimal places?\nAnswer: -0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 11:26 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 16887344*s**2 - 28544*s - 71360. Let k(t) = -3550*t**2 + 6*t + 15. What is 14272*k(g) + 3*n(g)?\nAnswer: -3568*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3690431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2*c + 2. Let l = -442 + 326. Let n = c - l. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -905*i. Let n(s) be the third derivative of -s**4\/12 - 230*s**2. What is w(n(u))?\nAnswer: 1810*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**3 + 461*b**2 + 3772*b - 9380 = 0. Calculate b.\nAnswer: -10, 2, 469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -6867063 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 61.856 - 64.8. What is m rounded to 1 decimal place?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 129 and 344.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -890*z**2 + 454*z**2 + 95*z**4 + z**6 - 95*z**4 - 94*z**5 wrt z?\nAnswer: 120*z**3 - 5640*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1246386 is divided by 63?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9327 + 143*a**2 - 9327)*(5*a**2 - 2*a**2 - 4*a**2).\nAnswer: -143*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 809 - 1635. Let h = q + 829. Solve t - a = -6*a - 24, -2*a = -h*t + 13 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 + -23. Let b(q) = -q**3 + 6*q**2 - 4*q - 1. Let z be b(g). Suppose -z*y - o = 4*o - 150, 5*y - 181 = -3*o. Which is smaller: 36 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 338.\nAnswer: 101.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1620) + (sqrt(1620)*-3*2 - sqrt(1620) - sqrt(1620))))\/(-5*(sqrt(12)\/(1*sqrt(3)) + (sqrt(400) - 1*sqrt(400) - sqrt(400) - sqrt(400)))).\nAnswer: -63*sqrt(5)\/95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30168 - -30103. Which is the closest to -4? (a) 11 (b) -3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 28347, 28337, 28319, 28293, 28259?\n\"Answer: -4*m**2 + 2*m + 28349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.44 - 0.44000066. What is n rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 29*z + 53. Calculate w(31).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 2179954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 4527003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = d + 2. Let s = -10 - d. Let m(o) = s*o**2 - 7*o + 2*o + 2*o + 2 - 5*o**2. Determine m(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -11.1914\nAnswer: -3.35742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142579 is divided by 3240?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7932 divided by 3?\nAnswer: -2644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/3 and 37\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -4*y**3 + 264*y**2 - 4080*y - 9248 = 0.\nAnswer: -2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -2*p**3 + 39*p**2\/2 + 2*p. Let r be 3 - ((-10)\/15)\/(2\/(-51)). What is the units digit of m(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 4*y + 0 + 0*y**4 + 0*y**3 - 3\/10*y**5 - 17\/2*y**2. Differentiate v(w) wrt w.\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78186 divided by -5100\nAnswer: 13031\/850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300 is divided by -9 - -9 - -5 - (3 + -158).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112054 is divided by 22251.\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -614*a + 6 + 970*a + 2 + 22 - 30.\nAnswer: 356*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**4 + 0*p**4 + 8*p**4 + (0*p**2 - 3*p**2 + 2*p**2)*(-p**2 + 13*p**2 - 4*p**2).\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1715*m = -1739*m + 12719640. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/303563 and 48\/40489?\nAnswer: 646892753","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/6*8)\/((-4)\/138). Which is smaller: a or 50?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10516769 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w**3 + 4*w + 4. Let q(z) = 11*z**3 + 9*z + 9. What is -4*q(v) + 9*t(v)?\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*d - 59 + 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 39\/(-26) - (2 + 27\/(-6)). Solve h = k - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -40*a**3 + 0*a**6 - 1\/2*a**4 + 0*a**5 + 0*a**2 + 31 + 0*a + 3\/7*a**7. What is the third derivative of n(f) wrt f?\nAnswer: 360*f**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - u - 16. Let a be o(10). Differentiate -75*y + a*y + 70*y - 68 with respect to y.\nAnswer: 69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -53\/5 in 2\/1031, -2\/17, 9?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 893 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -78025, -78001, -77977?\n\"Answer: 24*y - 78049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 276a49 (base 13) to base 2.\nAnswer: 11101001110000000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-65)\/25*(-750)\/(-3250)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*r - 90. Let d be ((-48)\/(-9))\/((-34)\/r + -1). Let n be 9 - (-2 + 4)\/2. Calculate the greatest common factor of n and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.4 (b) 5 (c) 2\/3 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/1*12\/(-5). Let l = -2859\/385 + 365\/77. Let h = l - v. What is the nearest to h in 4, 0.5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 3 + (2 + 2 - 3)*(-6 + 1 + 3))*((-3 + 4 - 5)*(f - 2 + 2) + 3*f - 4*f + 0*f + 3*f + 2*f - 6*f) as g + m*f and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (5 + -6 + -5 + (-4 - -4))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -c**3\/3 - 1269*c - 1. Let j(p) = -5137*p. Calculate j(v(k)).\nAnswer: 10274*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -174*f - 3. Let g(q) = -6786*q - 116. Let l(n) = -3*g(n) + 116*y(n). Let j(b) = -2*b. Determine l(j(m)).\nAnswer: -348*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -5. Let c be 3\/(-12) - (-49)\/i. Calculate the greatest common factor of c and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -725 greater than or equal to -29742\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109648?\nAnswer: 2, 7, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**2 - 72*j - 437. What is b(29)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * -144.6.\nAnswer: -1012.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*10*(-2)\/3*788\/1576?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 186, 5, -5.\nAnswer: -26, -5, 5, 186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express m - m**4 + 144*m**2 + m**3 - 118*m**2 + m as q*m + i*m**4 + u*m**2 + p*m**3 + b and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -30*(0 - 4\/3) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 54905.751ms?\nAnswer: 0.0152515975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -42*x + 38*x. Solve -2*u = 5*b - x, -5*u = 5*b - 7 - 18 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q**2 + 130*q + 401. Let l be s(-40). What is the nearest to 32.2 in 2, l, 11\/4?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*c - 3. Is 1758\/12*c\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2364450 and 8300.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24\/10 - 2 - 0. Let o = -3 + 8\/3. Which is the nearest to o? (a) 2\/3 (b) 1\/3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 441 - 435. What is the nearest to 1 in 3\/8, 5, 1, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/32*352\/231?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9225 and 154775?\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 523726*u**3 + 48*u**4 + 14*u**4 - 523724*u**3 + 2*u**2 to the form l + t*u**2 + j*u**3 + x*u**4 + c*u and give x.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.134 - 0.1574. What is v rounded to 3 decimal places?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1 (b) -0.96 (c) -1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-4)*(-8)\/5. Let q = 7 + t. Suppose 3*z - 4*o = 48 + 5, -4*z = -3*o - 59. What is the remainder when z is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7575.\nAnswer: 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 15*u - 94. Let m be b(7). Solve h + 2*h = -2*z - m, 5*h + 12 = 3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -20170, -40432, -60800, -81280, -101878, -122600, -143452?\n\"Answer: -p**3 - 47*p**2 - 20114*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 11*h + 18 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 100 = 5*u, 383 = p + 379. Suppose 5*i = 2*i + 9. Suppose h = 0, -2*n - 4*h = i*n - 15. Solve -4*t + v = u, 6*v = -3*t + 3*v + n for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1617132 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = q - 8, 2*q + 2 = c - 0*q for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18660 + -13?\nAnswer: 18649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - v - 6 = 0, -5*a + 5*v + 0*v + 10 = 0. Suppose 0 = -x - 5*d + 12, 0 = 3*x - 0*x - 5*d + 4. What is the greatest common divisor of a and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r. Let y(h) = -28*h + 3*h + 57*h. What is y(d(s))?\nAnswer: 32*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62369837?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-140)\/14)\/((-5)\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272436598?\nAnswer: 2, 7, 19459757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 56 = 32. Let j = -8 + t. Calculate the smallest common multiple of (6\/(-4))\/((-6)\/40) and j.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/32))**(-11)\/(y**(4\/11)\/y**(-16)) assuming y is positive.\nAnswer: y**(-5639\/352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 0.04.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 379, -1\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -9\/5*k**2 - 4*k - 1\/2*k**3 + 1\/20*k**4 + 2. Find y, given that o(y) = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.3 and 1681379.\nAnswer: 2185792.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -33727*u**2*x - 2*u**2 - u*x + 332885*u wrt x.\nAnswer: -33727*u**2 - u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25.91 + -0.59. Let h = m + 27. Which is the second biggest value? (a) h (b) 3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j - 5. Let b be x(11). Calculate the highest common factor of 54 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -29, -8, -3 in descending order.\nAnswer: -3, -6, -8, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 300 and 9?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 times 0.09?\nAnswer: 5.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -6*(-5 + sqrt(176) + (sqrt(176) - (sqrt(176) + 1*sqrt(176))) + -2 - 3*sqrt(176)*1*5))**2.\nAnswer: 33120*sqrt(11) + 1427716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -2.1 (b) 4 (c) -193\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -443044 - 4?\nAnswer: -443103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -480377820 divided by -240188910?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 16*z**2 + 12*z + 36. Let h be t(-3). What is the highest common divisor of 80 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 0.2, -0.1261, -0.3, 1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1661 a factor of 837803990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 3*p + 3. Let s be v(3). Let z be (-2*110)\/(2\/(-4)). Let y be ((-6)\/10)\/((-8)\/z). Calculate the highest common divisor of s and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -560 divided by 1?\nAnswer: -560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, t: 1, e: 1, g: 1, o: 1, d: 2}. What is prob of sequence sges?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**5 + 237*g**4 - 8820*g**3 + 103987*g**2 - 49818*g = 0?\nAnswer: 0, 1\/2, 23, 38, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -4, 121\/312 in descending order.\nAnswer: 3\/7, 121\/312, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 2*l + 14, -7*r + 3*r = -3*l + 9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssjjs. What is prob of sequence sjs?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -712 + 804.4. Round o to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3632 divide 1514035520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w**4 + 6*w**5 + 5*w**4 + (3*w**2 - w**2 - 4*w**2)*(w + 0*w + 0*w)*(2 + 0 - 4)*(3*w**2 - 18 + 18).\nAnswer: 18*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 65 = 4*k. What is the remainder when 89 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000007857 rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 13*q**2 - 2*q + 3. Let g be a(7). Let y(p) = -p**3 + 39*p**2 + p - 41. Let l be y(39). What is the remainder when l + 33\/18 + g\/12 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11126.\nAnswer: 2, 5563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12092, -12112, -12132, -12152, -12172, -12192?\n\"Answer: -20*g - 12072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.057 + 2.057. What is the second biggest value in j, 0.04, -1\/10, -1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 861, 4, 1\/43, -0.08 in ascending order.\nAnswer: -0.4, -0.08, 1\/43, 4, 861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y + 0*y - y)*(38*y + 25*y - 5*y) + (3 - 2 + 1)*(6*y**2 - 3*y**2 - 2*y**2) + y**2 - 2*y**2 + 3*y**2 to t*y + c + p*y**2 and give p.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 115 + 106)*(1 - 1 + 2*r**5).\nAnswer: 406*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (4*(4*(sqrt(170)\/(sqrt(30)\/sqrt(3)) + (sqrt(68) + 1 - sqrt(17))) + 0))**2)*-2.\nAnswer: -35334 - 2048*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15054012.\nAnswer: 2, 3, 97, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 45283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/4 - (-50)\/(-40)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 15*t**2 + 15*t - 12. Let z be a(14). Suppose z*x = -0*f - 2*f + 166, -261 = -3*x + 3*f. Is 34 a factor of (0 + 6\/15)*x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186497?\nAnswer: 283, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.95638544 rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7855888?\nAnswer: 2, 490993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**8\/336 - 2*n**7\/105 - 79*n**6\/60 + 3*n**5\/4 + 23*n**3\/6 + 3*n**2 + 4*n + 14. What is the third derivative of f(d) wrt d?\nAnswer: 60*d**2 - 96*d - 948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 - 39 = s. Does 22 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10296 is divided by 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 152.7, -32, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181*i + 612870 + 2778768 = -1488846. What is the highest common divisor of 21 and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 12*z. Let r(g) = -599557*g**2 + 3. Give r(d(x)).\nAnswer: -86336208*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 82 and 22.\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w + w + 3*w + 27 + 6*w. Let f be t(-3). Factor -1\/3*a**2 + 1\/3*a + f - 1\/3*a**3 + 1\/3*a**4.\nAnswer: a*(a - 1)**2*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121583 bigger than 121584?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x - 2*x + x + (119 - x - 131 + 5*x)*(0 + 2 + 3)*(1 - 3 + 1) as q + v*x and give v.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/6 - (-531)\/(-1050). Let j = q - 7\/25. Which is the closest to j? (a) -1\/3 (b) 0.1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1716131 and 452?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x - 10. Let q(k) be the first derivative of 11*k - 12 + 3\/2*k**2. Let v(b) = -4*q(b) - 5*w(b). Differentiate v(l) with respect to l.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*b**3 + 0)*(-5*b + 6*b - 2*b) + 2*b**4 - 6*b**4 + 2*b**4.\nAnswer: -5*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -510 or 0.29?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*g**2 + 44 - 59 - 77*g**2 - 90 + 58*g**3.\nAnswer: 58*g**3 - 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 0. Suppose 8 = -k + 4*s, x*s + 0 + 2 = 2*k. Suppose -14 = -c - 4*c - 4*m, 5*c + 5*m = 10. Solve -2 = -k*y - c for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - (-4 + 5 - 1) - 1. Solve -6 = -6*a + 3*a, 0 = -n*q - 3*a for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 27. Suppose 3*o = u + 39, -5*u - 229 = -o + 3*o. Let c = u - -67. What is the remainder when c is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 8*z - 2. Let b = 773 - 778. Let o(g) = -5*g + 1. What is b*p(l) - 7*o(l)?\nAnswer: -5*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 7*l - 5. Let h(f) = -f - 5 - 2*f**2 - 4*f**2 + 7*f**2. Let n be h(-5). Suppose -5*b = n, 0 = -u + b - 0*b. What is y(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -35216 - 2?\nAnswer: -35218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**3\/2 - 4685*c**2\/2 + 16379*c - 28068 = 0.\nAnswer: 3, 4, 4678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*v + v. Suppose 3*j - 34 = 4*n, -3*j - v*n = -9 + 3. Find the third derivative of -3*m**2 + 6*m**4 + 2*m**5 - j*m**4 wrt m.\nAnswer: 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*g - 19*g + 19 - 3 - 9*g - 6*g.\nAnswer: -g + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a gram in milligrams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/233 and -40\/449.\nAnswer: 104617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.291 to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 224989049 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, -4, -491?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - z. Let q(t) = 14*t**3 + 19*t**2 + 6*t. Let x(v) = 6*b(v) + q(v). Find the third derivative of x(w) wrt w.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4167 + -3947.1. What is f rounded to zero dps?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4762, 41014, 140240, 333928, 653566, 1130642, 1796644?\n\"Answer: 5248*d**3 - d**2 - 481*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 4) to base 15\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -9. Let h = p - -7. Solve -v - r + 0*r = -5, -v = 3*r - h for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 583524037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 153 and 572763?\nAnswer: 29210913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-585) - (-86)\/(-65)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 3 + 770\/(-63)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 982735 by -5.\nAnswer: -196547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 37933.96m?\nAnswer: 37933960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 237276200 to the nearest 100000.\nAnswer: 237300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 89*2\/((-2)\/(-1)). Let p = 757\/9 - t. Calculate the common denominator of p and ((-1)\/5)\/(1\/(-6)).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 - 9702*l**2 + 7795332*l + 78926520.\nAnswer: 3*(l - 1622)**2*(l + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.019? (a) 1 (b) -7 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61425523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 208 and 1148706?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -12314101 (base 7) to base 9\nAnswer: -2075771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/1791 and -82\/304467015.\nAnswer: 913401045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1\/5 (b) -835 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13.2 - -14.07. Let y = 2791.13 + -2808. Let f = y + u. What is the second biggest value in f, 2\/3, 0.2, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11012 (base 3) to base 12.\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 + 4 - 5 - 6 + 3*f - 10 as i*f**2 + z*f + m and give m.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2369\/22 + -1190\/11. Let u = -6 + 2.6. Put r, u, 0 in increasing order.\nAnswer: u, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 686\/9 + -7996\/99. Is w at most -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243736329 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82146, -164284, -246422?\nAnswer: -328560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 0 - 13*d + 5.\nAnswer: -13*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 3*t**7\/7 - 161*t**4\/4 + 15*t**3 + t**2\/2 + 3*t - 7076. Find the third derivative of s(n) wrt n.\nAnswer: 360*n**3 - 966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u + 1. Let d(p) = p - 10. Let c be d(8). List the prime factors of i(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 700 - 5 - (-5 - -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 (base 9) in base 2?\nAnswer: 1111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 12:58 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1181651.7200065 - -1181652. Let r = 0.03 + 0.25. Let l = r - j. What is l rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 + 43. Put -0.09, k, -0.1 in decreasing order.\nAnswer: k, -0.09, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -1)*(16 + -20). Let a(o) = 4*o - 13*o + 3 + 4*o. Let b(s) = -4*s + 2. What is j*b(l) + 3*a(l)?\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27 in 0.3, 186, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5681 + -68205?\nAnswer: -62524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2015?\nAnswer: 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/6))**(10\/9))**(-12)\/((j*j**(-1\/19)\/j)\/j*(j**(-2\/23)*j)\/j*(j**(-1))**(2\/49)) assuming j is positive.\nAnswer: j**(-200776\/192717)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 0.4 (b) -0.4 (c) -477 (d) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -238*o + 52. Is t(-5) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/7)\/(35*(-62)\/27342)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + k = -2*h - 23, -2*k = 2*h - 14. Let d = -50 - -80. Suppose -3*g + 5*f + 12 = 4, 5*g - 5*f = d. What is the lowest common multiple of h and g?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 3 - 2)*(20 - 20 + 22*k) - 2 + 2 - 2*k)*(1 - 2 + 3).\nAnswer: 40*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**2*u*w - 5*n**2*w**2 + 13855*n**2 + 3*n - 131*u*w - 15*w**2 wrt n?\nAnswer: 4*u*w - 10*w**2 + 27710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = 4*q - 15. Let m = q - 4. Suppose -i + m = 5*a, -i + a + 2 = 4. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -23 + 2*h + 2*h**3 - 20 - 20 + 64. Determine w(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**2 + 141 - 465 + 138 + 149.\nAnswer: 3*n**2 - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-43)\/430)\/(6\/4)*18\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 586040 and 390?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 3*x**2 + 2*x + 12. Give a(5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(2\/4*-4))\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 98459.3kg in grams?\nAnswer: 98459300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -177.8 + 181.8. Which is the closest to -2? (a) x (b) -1 (c) 0 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 1 = -3*s. Let q be ((-2134)\/429 + 5)\/(s\/(-12)). Is -1 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4288339 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - 0) + (-238 - -259 - (79 + 6)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 360 and 2936520.\nAnswer: 2936520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 24 = -3*s, -5*v + 17*v - s = 41 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 2*r + 2. Let n be x(4). Let p be (-2)\/n + (-42)\/(-9). Let i = 15 - p. What is the greatest common factor of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 176745.\nAnswer: 353490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -205 divided by -30600?\nAnswer: 41\/6120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/(-30)*(-78)\/(-52). Which is the fourth biggest value? (a) 2\/13 (b) -4 (c) -2\/9 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(45) - (sqrt(45) + (0 + sqrt(45))*-4)) + -1 + sqrt(180))*-3)**2.\nAnswer: -324*sqrt(5) + 14589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 5 = 5*r, 3*j + 27 = -5*r + 2*r. Let i = 905 - 905.148. Let m = i + -0.352. Put -0.01, m, r in decreasing order.\nAnswer: -0.01, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.1666, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**3\/9 - 262*w**2\/9 - 8960*w\/9 - 8192\/3 = 0.\nAnswer: -64, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45174 + 496913\/11. What is the closest to v in -0.3, -2\/3, 0.38?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5 + 20*k**4 + 3*k**3 - 62*k**2 + 40*k.\nAnswer: -k*(k - 20)*(k - 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 t when two letters picked without replacement from {t: 5, f: 8}.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -408*d = -438*d - 660 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37676810 to the nearest integer?\nAnswer: 6138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 2*f + 4*f)*(6 - 4 + 0 + (2 - 3 + 0)*(0 - 2 + 1) - 218 + 101 - 119).\nAnswer: -233*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/16 + -1 - (-66682)\/(-6928).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 7. Let z = 0.73 + 0.07. Let k = -0.8 + z. What is the smallest value in q, 1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + z + 3 - 2*z)*(-4*z + z + z) - z**2 - z**2 + 4*z**2.\nAnswer: 4*z**2 - 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 332.3171 times -0.5?\nAnswer: -166.15855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 3*f - 1\/25*f**6 + 1\/70*f**7 + 0*f**4 + 0*f**3 + 0*f**2 + 3\/100*f**5 + 0. Factor g(m).\nAnswer: 3*m**3*(m - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -236776 (base 14) to base 16.\nAnswer: -127204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 554870.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 82272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i - 9*i - 3 + 7*i.\nAnswer: 10*i - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 336 = 4*h. Let u = 84 - h. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k - 3*k - 2*k)*(-k**2 + 3*k**2 + 17*k - 15*k) + 0*k + 7*k - 4*k - 2*k**3 as f*k**2 + l + b*k**3 + d*k and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(141 - 141 - 20*t)*(0 + 5 - 3)*((0 - 2*t + 0)*(3 + 2*t**3 - 3) + 0*t**4 + t**4 + 0*t**4).\nAnswer: -240*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(12)*-3) - sqrt(2))**2 + (6*(sqrt(2) + sqrt(2) + 2))**2.\nAnswer: 288*sqrt(2) + 3920\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 126292*a*x**2 + a*x - 322*a + 6*x**2 - 24*x + 3 wrt x?\nAnswer: 252584*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*m**2*p**3 - 342*m**2 + 6*m*p**3 + 2*p**3 - 16*p**2 - 392*p - 2 wrt m?\nAnswer: 20*m*p**3 - 684*m + 6*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/((j*j*j**4\/j)\/j)*j**3*j**(-1\/5)\/(j*j\/((j\/j**(-6))\/j)*j) assuming j is positive.\nAnswer: j**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -34.77 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -68, -67, -66, -65, -64, -63?\n\"Answer: y - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -7*f**3 + 3*f**2 - 2*f + 49. Calculate the remainder when k(-7) is divided by 431.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in 0, -25\/2, 4, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.63 + 0.48. Which is greater: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**4\/2 - 12*r**2 - 32*r - 201. Factor a(s).\nAnswer: 2*(s - 4)*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 27\/(-30) + -2 + (38\/20 - 2). Let l(c) be the first derivative of c**2\/2 + 3*c - 1. Let i(d) = -4. Calculate u*l(j) - 2*i(j).\nAnswer: -3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**2 + 388936455*z = 0. Calculate z.\nAnswer: -77787291, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1725 - -2491. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) -7 (c) 0.2018 (d) -1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, 692\/233, 0.5 in increasing order.\nAnswer: -6\/5, 0.5, 692\/233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-4) - (-2)\/(-8). Let a(q) = q - 8. Let l(r) = -r + 7. Let m(z) = -2*a(z) - 3*l(z). Let w be m(5). Is u less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 3*f**2 + 2*f + 2. Suppose -v + 3*w - 4 = 0, -2*w = 2*v - 4*w. Let u be z(v). What is the common denominator of 79\/2 and (3 - u)\/(15\/(-114))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*m**2*u**3 + 718*m**2*u**2 + 58*u**3 wrt m.\nAnswer: 4*m*u**3 + 1436*m*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 635 = 7*r + 4*v + 554, 38 = 3*r + 5*v for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -1. Solve -2*m - f = -3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (62331 - 27500 + 22014 + 38873 - 3681)*(0 + j**2 + 0) in the form q*j**2 + l*j + p and give q.\nAnswer: 92037","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/9, 145, -1, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 56435690?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -94926 divided by -3\nAnswer: 31642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 5:15 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 2\/13, -0.8, -2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5 = -w - s, -4*w + 15 = 3*s. Let i = 5 - w. Suppose 4 + i = 3*m. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + m - 7. Let b be v(5). Let h = b + 32. Suppose -h*f = -5*j + 10, -3*j + 15 = -0*j. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -361 + 279 + (1 - -20)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 10573833 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -11*x. Let i(v) be the first derivative of -5*v**4\/12 - 13*v + 34. Let f(n) be the first derivative of i(n). Give f(l(u)).\nAnswer: -605*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(32) + 3)**2.\nAnswer: -120*sqrt(2) + 809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -8843\/568 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {r: 1, h: 1, z: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -549.5 and -18.\nAnswer: 9891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a - a + a - 16*a - 17 + 17 + (4*a - 36*a - 30*a)*(-4 - 5 + 3).\nAnswer: 355*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 965?\nAnswer: 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78480343 and 13173?\nAnswer: 235441029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 173, 1345, 4501, 10637, 20749?\n\"Answer: 166*g**3 - 4*g**2 + 22*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2512999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 6*l - 3. Let r be f(-3). Suppose 5*h + 2*q - 38 = 0, 11 + 24 = 4*h - 3*q. Suppose -x + r = -n, x - 3*n - h = 3*x. Solve 8 = x*o + 2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1724.04138 - -1724. Let o = 0.35 + -0.392. Let d = y - o. Round d to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -188 and -181 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2. Let v be (4\/2 - 3)\/1. Let n(q) = 2*q. Let f(d) = 5*d. Let g(m) = 14*m. Let j(s) = -11*f(s) + 4*g(s). Let a(y) = v*n(y) - j(y). Give k(a(t)).\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 2. Let b = 261 - 256. Let t = -3.1 - -3. What is the closest to t in b, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 0*u + 7\/2*u**2 + 0*u**4 + 5\/3*u**6 + 0*u**5 + 0*u**3 + 2. Find the second derivative of l(h) wrt h.\nAnswer: 200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53437755?\nAnswer: 3, 5, 7, 508931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 479 and 209323?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21057211821030 - -2.\nAnswer: -21057211821028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7936*s - 1434*s - 1961*s = -965*s + 611594 for s.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -2.9.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -163 + 4552004?\nAnswer: 4551621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5165896 = p - 5*i, 4*p + 5165860 = -4*i. Let l = p + 5051469. Suppose -o = -5*o - l. Round o to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.72160941 and 0.\nAnswer: -1.72160941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25\/56 - 3\/56. What is the third biggest value in -1, -5, -0.1, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31983 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34121.37 litres to millilitres.\nAnswer: 34121370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9317 and 1.\nAnswer: 9317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 127077 to the power of 1\/2, to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.135797689 rounded to 3 dps?\nAnswer: 4.136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241*o + 15 - 457*o + 216*o - 7*o**2.\nAnswer: -7*o**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/10 + 284\/60 + -3. Let m(q) = q**3 - 7*q**2 + 8*q - 7. Let u be m(6). Put l, u, 0.4 in decreasing order.\nAnswer: u, l, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*r + 3*w + 138, r + 3*w - 78 = 0. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-5))\/((-14)\/((-1540)\/(-11)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19.1 - 17.1. What is the second biggest value in -4.9, c, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -q**4\/24 - 3*q**3\/4 - 9*q**2\/2 - 45*q + 2. Suppose c(w) = 0. Calculate w.\nAnswer: -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p - 8 + 2*p - 4)*(3*p**4 - 5*p**4 + 5*p**4).\nAnswer: -6*p**5 - 36*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 7*f**2 + 2*f + 8. Let a be c(7). Suppose 0 = -a*g + 20*g + 72. Let n = -15 + g. Calculate the highest common factor of n and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(252)*-5)\/sqrt(12))\/(((sqrt(27) + sqrt(135)\/sqrt(5))\/sqrt(9) - sqrt(3)) + sqrt(3) - sqrt(36)\/sqrt(48))*4 + 3.\nAnswer: -80*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-6)*-1*(-6)\/(-28)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5640 by 47.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1246 + 1393 = -90*r - 331 for r.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/(1*sqrt(6)) - (0 + sqrt(13)*2)) + (sqrt(1872) + (sqrt(1872) - (1 + sqrt(1872) + sqrt(1872) - sqrt(1872))) + 5)**2.\nAnswer: 95*sqrt(13) + 1888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4*p**2 - 2*p + 6. Let o(u) = 54 + 4*u + u**2 - 67 + 7*u**2. What is 6*o(q) + 13*r(q)?\nAnswer: -4*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27 or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1912*w**3 + 310*w - 12*w**2 - 1916*w**3 - 30*w.\nAnswer: -4*w*(w - 7)*(w + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38545?\nAnswer: 5, 13, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 3*a**2 + 9*a + 9. Give i(5).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 123 + 138 = 322 - 108 for p.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k - 4*k - 129 - 36 - 131 + (1 - 1 + 2*k)*(-2 + 2 - 12).\nAnswer: -25*k - 296","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 80 + -81. Find the common denominator of -2 + i*6\/33 and -10\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 8:59 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*-7*3\/(-3). Suppose 3*f = -0*s + s + 9, 4*f = 3*s + x. Solve -c + 2*n = -0 - 1, -f*c + 2*n + 10 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 87 (c) -4 (d) 0 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27351332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003397719 to 5 dps.\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = y - 3*y, 4 = -l + 5*y. Let f(i) = -7*i. Let k be f(-1). Let n = k + -4. Solve -w = -0*w + 2*c - l, -n*c = -15 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m + 39 - 53 + 14.\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p - 2*p + 2*p**4 + (-5 + 5 + 1)*(p**4 - 2*p**4 + 3*p**4) + 0*p**4 - 2*p**4 + 9*p**4.\nAnswer: 11*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105, -428, -965, -1716?\nAnswer: -2681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/100, 18618, -0.4?\nAnswer: -1\/100","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 374.0479mm?\nAnswer: 37.40479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3*c = -4944, 0 = -5*i + 7*i + 4*c - 2472. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42) - (sqrt(210) - (sqrt(210) + (sqrt(210)*-1 - sqrt(210))))\/sqrt(5)) + sqrt(42))\/(-2*sqrt(54)) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**2 - 3*f**2 + 7*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28802\/7 - 518575\/126. Find the common denominator of -139\/36 and h.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10213*z + 18898*z + 15187*z = 978752 for z.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 3*x**2 - 133*x - 397. Let z be a(-3). Suppose -3*f + 7*f - 8 = 0. Suppose -5*q + 25 = z*g, -7*g + 25 = -f*g. Which is bigger: 10\/3 or q?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1362 + 3?\nAnswer: -1356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = -2159*i + 2152*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b - 3*b + 30 + 4*b - 4*b. Let a be d(5). Let q be (4 + -2 + -1)*a. Let j(t) = -t**2 - t - 2. What is j(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 6\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2427*u + 1. Let q(o) = 12138*o - 5. What is 3*q(v) + 16*z(v)?\nAnswer: -2418*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -153.4, -4\/15, 5.\nAnswer: -153.4, -4\/15, 3\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 232458203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1015, 1018, 1023, 1030, 1039, 1050?\n\"Answer: z**2 + 1014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 160010*v. Let s(j) = 259*j - 11. Determine t(s(k)).\nAnswer: 41442590*k - 1760110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14256, 55201, 123442, 218979?\nAnswer: 341812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 4, 2, -7, -53 in descending order.\nAnswer: 10, 4, 2, -7, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 3*y**5\/8 - 14493*y**4\/8 - 671739*y**3\/8 - 6283599*y**2\/8 + 4207350*y - 9144375\/2 = 0.\nAnswer: -25, 2, 4877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 + -0.2. Let f = 0.63 - o. What is f rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 526051*n - 1052089*n + 526049*n.\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -35, -21, -1, 25, 57, 95?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*w**2 + 565*w + 80 = 0. What is w?\nAnswer: -16, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 x when two letters picked without replacement from {g: 10, x: 2, i: 3}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - 1 - (12 + -23)) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16541 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1384 - 1726 + 94 - 338)*(-2*f - 3 + 3) to d*f + c and give d.\nAnswer: 6708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**(-41)\/(t**0)**(-24) assuming t is positive.\nAnswer: t**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60082*i**4*q - 610*i**4 - 5*i**3 - i**2*q - 15*i**2 - 499*i + 76*q + 3 wrt i?\nAnswer: -1441968*i*q - 14640*i - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight ninths of a day in minutes?\nAnswer: 4480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -614 + 1?\nAnswer: -613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(3573\/(-189) - (6 + (-950)\/38)).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 102*x**3 - 393*x + 197*x + 3 + 189*x to r + d*x + t*x**2 + z*x**3 and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 585 and 4590755?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 1709 = -28*w. Calculate the remainder when 717 is divided by w.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104382179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1548 by 400.\nAnswer: -387\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 a when three letters picked without replacement from {a: 4, t: 2, u: 1, r: 1, q: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 8350.\nAnswer: 13\/8350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -11000111001?\nAnswer: -11000110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-3120)\/10140)\/(21\/(-39))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1430839477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10985*n**2 - 14278.\nAnswer: -21970*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 58*j**2 - 5*j**3 + 11*j**2 - 67*j**2 - 7*j**4 to l*j**2 + y*j + w*j**4 + o + u*j**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1546 + -1436. Calculate the smallest common multiple of 16 and z.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -2.5. Let s = 2.8 + w. Let j = -0.1 + 0.1. What is the closest to 0.1 in -1, j, s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 174891, 349679, 524465, 699249, 874031, 1048811?\n\"Answer: -f**2 + 174791*f + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1336 + -1116. Put -3, 0.4, t in increasing order.\nAnswer: -3, 0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (14\/(-28))\/((-7)\/42). Suppose -5*r - 3*c = 27, 3*r = -c - 10 - 3. What is the third smallest value in 2, r, -0.2, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1044 (base 5) to base 9\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/(-98) - ((-94656)\/(-1015))\/(-17)\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -124436 - -79129. Let r = -45302.9998 - w. Let y = r + -4. Round y to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8085 and 2464?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 393 and 75.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 49180925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -58026*j + 118890 wrt j.\nAnswer: -58026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29946 + -29868. What is the remainder when 1752 is divided by k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, -1.11, -1\/6, 1\/11?\nAnswer: -1.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (18\/84)\/((-2)\/4*1)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -o + 3*o + 4*l, -4*l - 5 = -o. Let t be 20*2 - (12 - o). Let f = -36 + t. Is f a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/((-2)\/(7\/((-56)\/(-16)))). Solve -4*j = 8, 0*b + 3*b - 3*j = i for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from oo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*f*h**4 - 2*f*h**2*i + 9*f*h - 61*h**4*i - 2*h**2*i - h**2 + 5 wrt h.\nAnswer: 168*f*h - 1464*h*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001188787141 to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k + 4. Let a be i(-7). Let d = 20 - a. Suppose -4*r + 3*x = -625, 320 = -0*r + d*r - 4*x. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6765, -27092, -60971, -108402, -169385, -243920?\nAnswer: -332007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 230122 (base 4) to base 16\nAnswer: b1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1412963269 + -0.5?\nAnswer: -0.3587036731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-42)\/40))\/((-2082)\/(-43722)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sh when two letters picked without replacement from vksvlsvlvvsklhhvvkv?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 2*y**2 + y - 28. Let s be c(0). Which is smaller: -29 or s?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.01241 and 0.2.\nAnswer: 0.18759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -1\/60*h**5 - 2*h**2 + 0*h - 1\/24*h**4 + 0 + 0*h**3. Find the second derivative of v(o) wrt o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22395 is divided by 2165?\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 203, 333, 463, 593?\n\"Answer: 130*y + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 7:56 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -103*h**2*s*x**2 - h**2*s + h**2*x**3 + 2*h*x**3 + s*x**3 - 116*x**3 wrt x?\nAnswer: 6*h**2 + 12*h + 6*s - 696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -12147881.59 to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.32 + 0.19. Let u = 0.1298 + b. Round u to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from rigidddrgigrdrgirir?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**6\/(m**(-2\/19)\/m*m)*(m*m**(-17\/4))\/(m*m**(1\/12)) assuming m is positive.\nAnswer: m**(101\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37.124 + -37. Let m = -0.12399842 + x. Round m to 7 dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -3\/1864?\nAnswer: -3\/1864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 7 = -13*s. Solve 0 = -w + 3, s*k + 3*w - 29 = -3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a milligram in micrograms?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffffcbcrffr. What is prob of picking 2 c?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of 0*r + 0*r**6 + 1\/10*r**7 + 0*r**4 + 0*r**3 + 0 - 13\/60*r**5 + 72*r**2. Find the third derivative of a(x) wrt x.\nAnswer: 504*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 14*m**2 + 5*m + 95. Determine b(15).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.6 + -5. Let d = -28 + 27.5. What is the third smallest value in -5\/3, d, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 744 - 8*c**3 - 744 + 2*c + 8*c**3 - 444*c**3 + 2*c**2.\nAnswer: -444*c**3 + 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*24\/(-54))\/(8\/(-24))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 0*l - 1\/6*l**3 + 0*l**5 + l**2 - 2 + 0*l**4 - 3\/40*l**6. Let f(w) be the second derivative of y(w). What is f(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -233\/6 - -79441\/2046. Which is greater: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1042915*x**5 - 15*x**2 + 740104*x + 46 wrt x?\nAnswer: 20858300*x**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 10607?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -11*s**5\/20 - s**4\/12 - s**3\/3 - s**2\/2 + 2*s. Let l = -6 - -5. List the prime factors of h(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12100000 (base 3) to base 12\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((o*o*o**(2\/7))\/o)\/o)\/o)\/(o**1*o))\/(o**(2\/5)*o*o)**49)\/((o**(2\/3))**6)**(-33) assuming o is positive.\nAnswer: o**(409\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**3 - 1222*j**2 + 1225*j**2 + 10*j**3 + 15*j.\nAnswer: 14*j**3 + 3*j**2 + 15*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 80.95 - 86. Let d = p + 0.05. Which is the smallest value? (a) d (b) 2 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) -0.73 (c) 323\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*h = 14, -2*l + 4*l + 2*h = 14. Let n = 1 + 0. Suppose 4*o - 9 = -n. Are o and l unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22369 to the nearest 1000.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 138 and 7222.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -221?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -2\/5 (b) -3.5 (c) 1 (d) 0.5 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 660497.13 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*m**3 - 2 + 0*m**3 - 2*m**2 + 25*m**3 - 37*m**4 - m to the form i*m**4 + n*m**2 + j*m + v*m**3 + k and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 12*t. Let y(c) = -c**2 + 6*c. Let j(o) = 12*o**2 - 54*o. Let b = 889 - 887. Let i(z) = b*j(z) + 18*y(z). Determine i(d(x)).\nAnswer: 864*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of p**6\/168 - p**5\/70 + p**4\/168 + 132*p**2. Determine j so that i(j) = 0.\nAnswer: 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-243) - (-4950)\/(-1215))\/((-8)\/26)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -2*i + 22, t - 1297*i + 1291*i - 12 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - p**2 - p. Let l(t) = -9*t**3 - 3*t**2 - 5*t - 2. Let b(h) = -l(h) + 6*y(h). Let v = -2808 + 2810. What is b(v)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/5 (b) -4 (c) -0.1 (d) -7984 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9 - ((24 - -37) + -21)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 616 and 1484736?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -366*d + 349*d = -918. Suppose -x - b + d = 0, -9*b + 8*b = 0. What is the remainder when 161\/3*6\/2 is divided by x?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -2\/7, -4.18, -2\/5, -1\/7 in descending order.\nAnswer: 2\/9, -1\/7, -2\/7, -2\/5, -4.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*j - 78 = -18 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -24198*888\nAnswer: -21487824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7337038 by 3668519.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 580365164 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 7. Let g = 0.534 + -0.434. What is the second smallest value in 2, g, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, v: 3, c: 1}. Give prob of picking 3 g.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 700205.5 kilometers in micrometers?\nAnswer: 700205500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w - 3 - 60*w**2 + 0 + 63*w**2 - 3*w - 2. Suppose -5*y - 5 = -20. Let b(k) = 0*k**2 + 2 - y*k**2 + 6*k + 2. What is 5*b(u) + 4*x(u)?\nAnswer: -3*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 0. Let m be z - (3 + -1 - -1). Let j = -4 + 5. Solve -i - m*i + 8 = 2*h, j = 5*i - 2*h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 12. Let m = -8.00000055 + l. Round m to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19 and -81\/2374?\nAnswer: 2374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*f + w - 4*w + 231, 3*f - w + 44 = -f + 5*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-14))\/(6\/4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 337*q**3*y + 1574*q**2 - q*y wrt q.\nAnswer: 2022*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + 25. Let t = 17 + 6. Calculate the remainder when a is divided by t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 785 + -60470\/77. Find the common denominator of j and 25\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -98434\/11 - -96183\/11. Let l = n + 205. Find u such that l*u**4 - 1\/11*u**5 + 0*u + 0 + 2\/11*u**2 - 5\/11*u**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47124828*u**6 - 13*u**2 - 5184259*u wrt u?\nAnswer: -5654979360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 >= 184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - k = 13 + 115, 2*s = -2*k - 64. Which is bigger: -33 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1714100125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, q: 7, e: 8, j: 3}. Give prob of sequence pepq.\nAnswer: 14\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1377.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 13 + 0*x**3 - x**3 + 3*x**3 - x**3 + x**3 + (-3*x + 6*x - 2*x)*(x**2 - 2*x**2 + 2*x**2).\nAnswer: 3*x**3 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 89*f**3\/3 - 235*f**2 - 10*f. Find the first derivative of s(m) wrt m.\nAnswer: 178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*3 + 2\/1. Let x = m + 11. Let j be (12\/x)\/((-14)\/(-35)). Solve -5*b = 5*t + 40, -j*b = -t - 2*b + 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2972.7802 and 0.01.\nAnswer: -29.727802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5827*m - 5832*m + 31*m**2 - 21*m**2 - 12 + 32*m**2 to the form u*m + v*m**2 + j and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*w + 220, 3*w + 50 + 170 = -4*j. Suppose 4*f + 2*f - 18 = 0. Suppose 6*b - 3*n = 8*b + 127, -4*b + f*n = 209. Is j greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21.9 times 0.3\nAnswer: -6.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*(r**(-1\/2)\/r*r)\/r*r*r*r*r)\/r*r**(4\/7)\/r)**(-7\/3)*(r**(-8)\/r)\/(r\/(r\/(r**(-8)\/r*r)))*(r*r**1)**36 assuming r is positive.\nAnswer: r**(383\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from accappccppcpp. What is prob of sequence pp?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -5 (b) -2 (c) 10 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24332 - -60284. What is the hundreds digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -9 + 3 + p - 4*p. Let v = -4 - 0. Give m(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - -5)\/(-2) + 27. Let y be (1*(-48)\/(-10) + -4)*5. Suppose 0*c - 24 = -5*c - 4*u, y*u + z = c. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1, 12, 1\/5, -0.323.\nAnswer: -0.323, 1\/5, 0.5, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r**2 - 1 - 10*r - 3 - 4 + 2*r**2. Let w be g(-7). What is the greatest common divisor of 26 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 2.3, -0.1?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = t - 15, 2*t = -3*t. Suppose -4 = 3*l - 3*u + 8, y*u - 29 = -4*l. Suppose w - 5 = -l. Put 2, 5, w in decreasing order.\nAnswer: 5, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6951 is divided by 3469?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4117936578 to 4 dps.\nAnswer: 0.4118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 3280*p**2\/13 - 29626*p\/13 + 954\/13 = 0.\nAnswer: 53\/1640, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -307, -801, -1521?\nAnswer: -2467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2\/13, -4, 8?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 12551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 19*g**2 - 12*g - 34. What is the tens digit of w(17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times -682?\nAnswer: 40.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -37087 divided by 1?\nAnswer: -37087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vevem. Give prob of picking 1 m and 2 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2 (b) -2\/7 (c) 1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-516)\/(-3) + (0\/(-2))\/3. Let s be a\/16 - 3\/(-12). Find the third derivative of 523*t**3 - 523*t**3 + s*t**4 - 2*t**2 wrt t.\nAnswer: 264*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wx when two letters picked without replacement from {x: 6, r: 1, g: 3, w: 3, n: 5}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 513?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -370\/11 != -34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 25*p - 400. Let f(c) = -6*c. What is 4*f(x) + t(x)?\nAnswer: x - 400","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*30700.2.\nAnswer: 214901.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7216 or -5457?\nAnswer: -7216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 2:14 PM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/11 + 26*t**2\/11 + 48*t\/11.\nAnswer: t*(t + 2)*(t + 24)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -76 + 12*k - 22*k - 212 - 134 - 12*k. List the prime factors of t(-23).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**4 - 3*p**3*r + 6*p**2*r - 2*p*r - p - r wrt p?\nAnswer: -12*p**2 - 18*p*r + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-7) + (-8)\/(-28). Is (12\/3 + 165)\/j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (11 - 1) - (31 - (4 - (65 - 21))).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/24*(46 - -6). What is the third derivative of -8*h - 2*h**2 - 53*h**6 + 92*h + 13*h**5 - p*h**5 wrt h?\nAnswer: -6360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.20472 - 0.19352. Let m = -15 + w. Round m to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/543 and -37\/362.\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b73d7 + 6?\nAnswer: 2b73dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (184\/(-322))\/(6\/16485). What is x rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -14. Let i = s - -7. Is i less than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/25*6\/(-9)*15.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/7 and 4 + -3 + (-10)\/(-16).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 291*z**2 - 148*z**2 + z - 24 - 125*z**2 in the form f + h*z**2 + u*z and give f.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 652*j + 54925. Give z(-83).\nAnswer: 809","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10531138 to the nearest integer?\nAnswer: 3245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -701, -1401, -2097, -2789, -3477, -4161, -4841?\n\"Answer: 2*z**2 - 706*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 23, 0.8, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/119 - 27\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7625 and 3721?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of i**9\/1512 + i**6\/90 - 4*i**3\/3 - 1. Let s(h) be the third derivative of u(h). Find the third derivative of s(n) wrt n.\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/6 of a week?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7451326, 7451348, 7451370, 7451392?\n\"Answer: 22*w + 7451304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234 and 325.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -127 and 0.3?\nAnswer: -38.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 7*n - 7. Let p be v(6). Let m be (24\/(-9))\/((-20)\/(-426)). Let y = m - -57. Are p and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 49*x**2 + 21*x - 98. List the prime factors of h(4).\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 558381756 and 28.\nAnswer: 3908672292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 7*t**2 - 6*t + 3. What is the lowest common multiple of (-6 + 4)*1 - (-3 + -2) and k(2)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n + 84 = 57 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 5*z**2\/2 + 2*z + 27. Let o(q) = 2*q**2. Give y(o(l)).\nAnswer: 10*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vtv when three letters picked without replacement from vhthtthhhvhvvt?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -63, -92, -121, -150, -179?\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**(-3\/8)\/(j*j*j*j\/j**(-1))**(-11) assuming j is positive.\nAnswer: j**(443\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1784243.\nAnswer: 1784243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88446602 is divided by 45851?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2572085 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - -2. Suppose 0*i - 4 = i, 3*x + 2 = 4*i. Let w be (x\/c)\/((-9)\/5). Is 2\/7 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 451059119 < 451059118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6965801?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 29908, 60200, 90492, 120784, 151076?\n\"Answer: 30292*g - 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2 + 15*z. Let l(a) = -6*a. What is l(m(g))?\nAnswer: 12*g**2 - 90*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -66568, -133119, -199650, -266161?\n\"Answer: 10*a**2 - 66581*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/285105 and 73\/3649344.\nAnswer: 18246720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 55. What is the smallest common multiple of o and 32?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0025945 to 5 decimal places.\nAnswer: -0.00259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2515002*s. Let f(t) = 3*t**2. Determine f(q(n)).\nAnswer: 18975705180012*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 346*s**3 + 2*s**2 - 4*s + 4. Let n(p) = p**3 + p - 1. Determine -b(r) - 4*n(r).\nAnswer: -350*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 97 - 43. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 198598 - -32?\nAnswer: 198630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/9 - 56*t**2\/3 - 106*t - 156.\nAnswer: -2*(t + 3)**2*(t + 78)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/7, 17, -2\/3, 2?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -p**5\/30 - 13*p**4\/24 + 7*p**3 + 8*p**2 + 1. What is the least common multiple of m(-8) and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a + 8*a - a)*(-7*a + a - 4*a) + (4*a + 2 - 2)*(-a + 0*a - a) + 0*a**2 + 0*a**2 - 2*a**2 as g*a**2 + h + t*a and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 2 + 2 + 17*z + 23*z - 45*z.\nAnswer: -5*z - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000318 rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**5\/60 + 31*c**2. Let u(b) be the second derivative of -b**3\/6 - b. What is f(u(n))?\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*a - 6*a = 72. Let k(z) = z**2 + z**3 + 3 + 5*z + 4*z**2 + z**2. Let r be k(-5). Solve -2*v + 2*l = -14, a*v = 3*v + r*l + 11 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1347 (base 15) to base 6\nAnswer: -31021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) 0.4 (c) 79 (d) 1 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 3*h + g - 2, 2*h - 5*g + 2 = 0. Suppose 0 = -h*d + 4, 4*n + d - 311 = -n. What are the prime factors of n?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 526714.\nAnswer: 2, 53, 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -92478, -184396, -275758, -366564, -456814, -546508, -635646?\n\"Answer: 278*a**2 - 92752*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 14, 13, 12, 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -22*x**2 + 2*x + 2. Let p(d) = -101*d**2 + 9*d + 9. Let r(m) = -18*b(m) + 4*p(m). Let i(s) = -10*s**2. What is i(r(g))?\nAnswer: -640*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k + 8. List the prime factors of c(-6).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/6)\/(-2) - (-11)\/(-12)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -12*l**3 + 4*l**2 + 193*l + 756. Let u be g(-4). What is the greatest common divisor of 256 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, 2\/3, -0.04 in decreasing order.\nAnswer: 2\/3, -0.04, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5156, 10277, 15402, 20531, 25664, 30801, 35942?\nAnswer: 41087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**3 + 9*w**2 + 7*w - 5. Let c(s) = s**3 + 4*s**2 + 3*s - 2. Let m(a) = a**3 - 8*a**2 + 5*a + 16. Let t be m(7). Calculate t*y(b) - 5*c(b).\nAnswer: -b**3 - 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51879 = 134*u - 58445 for u.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 344 + -342. Calculate the least common multiple of 70 and v\/5 + 13 + (-2556)\/(-60).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 4660.\nAnswer: 1\/2330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, t: 1, j: 1}. Give prob of sequence juu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 96\/(-44) - (-6)\/33. Is 6630\/9 - 3 - o\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-671*b - 9 - 672*b + 1347*b)*(-3 - 2 + 6).\nAnswer: 4*b - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 11:39 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34.972 - 0.028. Let d = h - -20. Which is the second biggest value? (a) -0.4 (b) -5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2828 + -2790. What is the remainder when h is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1279 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 1050?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**2 + 3*u**2 - 6*u**2)*(3 - 3 - u**2)*(-6 + 3 + 1).\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -60*(1880\/15 + 7). What is m rounded to the nearest one hundred?\nAnswer: -7900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 4. Let v be 72*(-2 + 3\/s). Calculate the highest common factor of v and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -13, 4, 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -102*u - 5524. Calculate p(-54).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 93, 225, 419, 681, 1017?\nAnswer: 1433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 710779850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3305 and -4?\nAnswer: -13220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 7*x - 4. Let o be d(-7). Let f = 4 - o. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ecafg. What is prob of sequence gef?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, i: 1, u: 2, w: 3, j: 6}. What is prob of picking 1 w, 1 i, and 1 r?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 + -15. Let c(d) = -d**2 - 12*d - 8. Let f be c(-8). Suppose -4*u - f = -7*u. What is the remainder when b is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5310 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-22)\/(-4) + (-4)\/8. Suppose -3*g + 0*g - 3*u = -132, -3*g - j*u = -130. Is 9 a factor of 2\/(-4) + g\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 592338096 to the nearest integer?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36812 is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*h + 565*h + 40204 = 18*h - 159*h for h.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2 - 17*a - 25. Let n(f) = 3*f**2 + 25*f + 38. Let i(w) = -8*h(w) - 5*n(w). Let c be i(-10). Solve c*p = 3*p - 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 5*y - 3. Let t be m(3). Suppose -k = -t - 26. What is the greatest common divisor of 232 and k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -13368*f - 106936. What is j(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011691228 to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 2)*(16*s + 30*s + 37877 - 37885 + 59*s + 3*s) to the form v + p*s and give p.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*f - 3*f + 0*f + 2*f**2 - 1 - 9*f + 8*f**3 to the form b*f**2 + g*f**3 + p + y*f and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 96\/(-20)*(-5)\/2. Solve 3*l - 3*h - r = 0, 7*l - 14 = 2*l + 2*h for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 3:08 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1932\/13*p + 466578\/13 + 2\/13*p**2.\nAnswer: 2*(p - 483)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**4\/7 + 24*x**3\/7 - 54*x**2\/7 - 216*x\/7 + 648\/7 = 0. What is x?\nAnswer: -3, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - 6, -5047*a + 5049*a - 2*c - 12 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2344 + 1513 - 1216*a + 1971*a - 743 with respect to a.\nAnswer: 755","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccecpcacccepipccc. Give prob of sequence ee.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 94639908 a multiple of 363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r + 9. Calculate d(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/171 + (-18688)\/76. Which is greater: -247 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/26132428 and -67\/532?\nAnswer: 496516132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -5*d + 40, -i + 4*d + 13 - 20 = 0. Find the third derivative of 14*h**i + 3*h**2 + h + 11188*h**6 - 14*h**2 - 11189*h**6 wrt h.\nAnswer: -120*h**3 + 840*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, 38, 182, 402, 704, 1094?\nAnswer: 1578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 17. Solve -4*r = -9*r - s for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (44\/(-12))\/(((-33)\/(-72))\/(-11)) and 344?\nAnswer: 3784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -5*y + 4, -2*y - 1 - 2 = -3*z. Suppose -6 - 10 = -f - 3*h, -4*f - 3*h + 73 = y. Calculate the remainder when (-12)\/((-11)\/9 - -1) is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 6*g**3 - g**2 + 4*g - 5. Let h(t) = 5*t**3 + 3*t - 4. Give 2*f(i) - 3*h(i).\nAnswer: -3*i**3 - 2*i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5880 and 4655?\nAnswer: 111720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/1653660 and -139\/440976?\nAnswer: 6614640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -156.3 + 144. Let l = 12 + s. Let j = 6 + -6.1. What is the biggest value in j, l, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181943 + 812654?\nAnswer: 994597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 100030615 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-60)\/33) + -11 + 155\/(-55).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + -74\/3. Let o be ((-1 - -4)\/(-15))\/(3 + (-24)\/10). Which is the closest to z? (a) 5 (b) 4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -12. Suppose 0 = -5*u + 5*j + 459 - 384, 0 = u + 2*j + 6. What is the smallest common multiple of u and p?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1563822*c**3*i**3 + c**3*i**2 + 27*c**3 + 1851*c*i**2 wrt i.\nAnswer: 9382932*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 y when two letters picked without replacement from {y: 1, o: 2, l: 1, q: 1, n: 5}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 times -408872?\nAnswer: -76050192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100040938 by -3.\nAnswer: 100040938\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1959614 is divided by 133.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -6*r - 54 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-seven fifths of a meter?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + j**2 - 4*j + 4. Let u be g(3). Let q be (-6)\/u + (-3)\/(-6). Suppose 4 = -o - 0. Which is the nearest to 0? (a) q (b) o (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*4 + sqrt(136))*-6 + sqrt(136))\/(sqrt(32)\/(3*sqrt(4))).\nAnswer: -87*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -4. Let u(p) be the third derivative of 0 + 0*p + 0*p**o + 1\/36*p**4 - 1\/180*p**6 + 0*p**3 - p**2. Factor u(d).\nAnswer: -2*d*(d - 1)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 15*g + 374. Calculate n(-4).\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/6 and ((-6)\/(-8))\/3 + (-6625)\/300.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1680 and 384?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 748 - 758.03. What is q rounded to 0 dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 10387839?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**4\/10 - 2116*u**3\/5 + 131907*u**2\/10 - 524241*u\/5 + 460404\/5 = 0. What is u?\nAnswer: -4263, 1, 12, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 0. Suppose -15 - 3 = -4*f - 5*x, 10 = f + 4*x. Suppose 4*b + 5*r - 14 = 7*r, -r = 5*b - 35. Solve q*g - 8 = -2*a, 0*a - b = -3*g + f*a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1019 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7450 - 5031. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u + 0*u - 14*u)*(-1 - 4 + 3) to k*u + v and give k.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 222 - 150. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -49.9 (b) 5 (c) -0.4 (d) 0.5 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*i + 6 + 4 + 25*i - 2*i to a*i + r and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 2*f - 3*f)*(1 - 1 + 8*f) - 53 + 170*f**2 - 42 - 2*f + 97.\nAnswer: 162*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**5 + 0*m**2 + 2*m**5 - m**2 + (m**3 - m**3 - 2*m**4)*(70*m + 36*m + 129*m) + (-m - 2*m - m)*(-2*m**4 + 0*m + 0*m).\nAnswer: -464*m**5 - m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.17 - -0.0526971.\nAnswer: -0.1173029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 + 25. Let l = o - -17. Sort 3, 5, l in descending order.\nAnswer: 5, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, 283, 952, 1943?\nAnswer: 3256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (57\/(-9) - -6)\/((-4)\/47688). Let r = 5672 - j. Is r a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 0*k + 22*k**2 + 4\/3*k**3 + 28. Factor q(m).\nAnswer: 4*m*(m + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-890)\/25 + -8)\/(2\/(-5)). Suppose 2*d = -2*d - 5*u + 117, -3*u = -4*d + w. Solve -4*l - d = 4*z, z = 2*z - 5*l - 11 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -7*i**2 + 3*i - 9. Let n(y) = 6*y**2 - 2*y + 8. Let k(b) = 5*d(b) + 6*n(b). What is k(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 5:49 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 122*j - 128*j - 10 - 8. Is 82 less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -5. Let h(t) = 2*t**3 - 2*t**2 - 3*t - 3. Let s be h(3). Suppose 0 = -v*x + s - 4. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cettueoteecucue. What is prob of sequence oc?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*x - 30. Suppose 122*d - 119*d = 213*d - 4200. Calculate the highest common factor of d and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 15\/9 - (-1843)\/3. Suppose 6334 + v = 12*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0 = 2, 4*f - 2*z = 4. Let q be 1 + f + 0\/1. Let i be 6\/(-27) + (17108\/(-9945))\/(-7). Which is smaller: q or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17418, -17434, -17450?\nAnswer: -17466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/112 - 4\/(-7).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1159 from 5.\nAnswer: 5.1159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 663 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 95 = -4*p. Let b = p - 9. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 9:17 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4660 less than 0.1?\nAnswer: -4659.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -55 divided by 5\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*z = -182, 0 = -5*o + o + 2*z - 238. Let r be (o\/8)\/((-3)\/4). Solve -4*m = -9*m + r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*h, -2*h = -4*l + 29 - 19. Solve l*z - b = -0*b + 5, 5*z - 5 = b for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 7 + 39. Let c = 22 - r. Suppose -4*l = -2 - c. Let f(g) = -g**2 + 2*g - 4. Determine f(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13673 - 13672.885. Which is the closest to 2? (a) m (b) -4 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*k = 61, 0 = -j - 0*k + 2*k + 53. Calculate the remainder when j is divided by ((-6)\/(-16)*-4)\/(6\/(-116)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22300000 rounded to the nearest 100000?\nAnswer: -22300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293913*v - 54 + 54.\nAnswer: 293913*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.006 >= 4\/1875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -41*x - 271. Determine g(-15).\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 3*c + 2, 5*b + 3*c + 20 = 9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g**2 + 5*g - 1. Let o be 105\/(-28) - 1\/4. What is the units digit of x(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 5:58 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 3, 15 in decreasing order.\nAnswer: 24, 15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -50.3, 1\/7, 0.2, -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/3)*m**17*m*(m*m**(-2\/13))\/m**35 assuming m is positive.\nAnswer: m**(-643\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44979 and 1739.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -18405aa (base 11) to base 16\nAnswer: -2f989a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - 2*p**2 + 6*p)*(-2 - 7 + 4).\nAnswer: 10*p**2 - 30*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 2*a**7\/21 - a**5\/15 + a**3\/2 - 11*a**2 + 2*a. Find the third derivative of r(d) wrt d.\nAnswer: 480*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 535*o**2 + 1. Let x be l(2). Suppose -p - 741 - 870 = 3*h, x = -4*h + p. Is 16 a factor of (-4)\/(-6) + h\/(-24) + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -286.03762 - -286.48. Round a to three dps.\nAnswer: 0.442","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 102 = 3*w - 86, 5*w - 641 = 27*l - 24*l - 353 for w.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 0*n - 6 + 0*n**2 + 1\/3*n**3. Let y(t) = 5*t**2. Calculate f(y(p)).\nAnswer: 25*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/3 + 534487*y**2\/3 + 71404387631*y\/3 - 3928858309255\/3.\nAnswer: (y - 55)*(y + 267271)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i - 4. Suppose -2*j + 6 = -b, 3*j - 7 = -2*b + 3*b. Let o(y) be the second derivative of -y**2\/2 + 2*y. Give j*t(f) - 4*o(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 133 + -84 + 4 + (-13 - 2) - 1\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a**2 + 3*a + 1. Let f be n(-6). Let k be -2 + f + (-1 - -3). Suppose 6*w = 2*w + 3*h + 157, h = -2*w + k. What are the prime factors of w?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -0.3, -0.031, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.08 and 0.01?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65 - -60. Let o(i) = -7*i - 35. Let s be o(z). Is 1\/41 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/189 - 575\/756. Let k be (42\/12 + 0)*(-520)\/182. What is the smallest value in p, 0.5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16 + 56*k**2 + 61*k**2 - 98*k**2 with respect to k.\nAnswer: 38*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -723 - -736. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -437.7 - -438. Which is the fourth biggest value? (a) 5 (b) -0.02 (c) 3 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1406 = -37685*l + 37648*l for l.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -349*c + 340*c + 90 = 0 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -q - 2. Let i = q - -12. Solve 5*u - i = 2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14931 and 297?\nAnswer: 164241","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 2064770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-1*(sqrt(112) + (sqrt(112) - (sqrt(112) + 0))))**2*-6 + -5)*5.\nAnswer: -10155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1843 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + 3*(sqrt(119) - 5*sqrt(119)) + sqrt(119))\/sqrt(7)*3.\nAnswer: -30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 1:01 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, f: 2, k: 1, b: 13}. What is prob of picking 1 k and 1 r?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 34*z**3 + 9*z**3 - 2*z + 5 - 5 to the form p*z + s*z**3 + b + j*z**2 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/15 and -5\/1698?\nAnswer: 8490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -68*j + 4. Let v be x(-3). Suppose 10514*b + 260 = 10524*b. Calculate the greatest common factor of b and v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 divided by -11\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 342\/(-76)*(-210)\/28*16\/(-18).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 95160 and 7020?\nAnswer: 856440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 1:53 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 437, 1 in decreasing order.\nAnswer: 437, 1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101110 + 1100010100100100?\nAnswer: 1100010111010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*y + 196*y - 6216 = 83*y for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(144\/81) + (1 + 4)\/5\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 204 by -68.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -419 divided by -2\nAnswer: 419\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - h = -5*h - 18, -h + 3 = 4*r. What is the third derivative of -4*b**2 + 4*b**2 - 7*b**r - 6*b**6 + 8*b**6 wrt b?\nAnswer: 240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1057672 and 17556?\nAnswer: 60287304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 23 = -3*h + 3*d, 4*d + 12 = 0. Calculate the remainder when 6 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 189 + 123 = 5*i. What is the highest common factor of 2080 and i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/10*(-920)\/(-345)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178 = -152*p + 482. Solve -14\/3*a**p + 4*a + 2\/3 = 0 for a.\nAnswer: -1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5536 divided by 4\nAnswer: 1384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 47994233 and -3.\nAnswer: 47994230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**4 - 12 + h**3 - h**2 - 10 - 24*h + 22*h in the form m + u*h**3 + s*h**2 + d*h + x*h**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 8*o + 24. Solve o = -d - d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**3 + 18922*y**2 - 18921*y = 0?\nAnswer: 0, 1, 18921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1948*f - 1908*f - 240 = 0 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -49\/13 and -4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5800.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*3\/(-15)*6\/(-54)*-9.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 306\/(-1404) - 1\/6.\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(7)*1*-4.\nAnswer: -4*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a - 97 + 192 - 111 + 14*a.\nAnswer: 15*a - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 675.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/(-42) + 248\/(-7). Let t = l + 68. Let f = -11 + t. List the prime factors of f.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*y + 13 = 0, 0 = 4*y - 2 - 2. Suppose 10*n = 9*n - i. Sort n, -4, -23 in ascending order.\nAnswer: -23, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -1\/36 (b) -4\/5 (c) 0 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52864074?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 386027, 386017, 386001, 385979, 385951, 385917, 385877?\n\"Answer: -3*x**2 - x + 386031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a decade in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396 is divided by 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2297221 to the power of 1\/2, to the nearest integer?\nAnswer: 1516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13, -57, -131, -235, -369, -533, -727?\n\"Answer: -15*n**2 + n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/22315 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 154*s**4 + 6*s**3 + 6*s**2 - 23*s - 3. Let v(b) = -b**4 - b**3 - b**2 - b. Let i(k) = -6*v(k) - y(k). What is the second derivative of i(p) wrt p?\nAnswer: -1776*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113 + -52 + 67 + -69\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 3*j = -3*l - 16, -2*j + 20 = -5*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-27) + (-1)\/45. Let p be ((-3)\/2)\/((-54)\/(-8)). What is the closest to j in -0.2, p, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gglinllllcgcinnllki. What is prob of picking 1 k and 1 l?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 + -2 - (1 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -6*v**2 + 6*v - 5. Let r(l) = 4*l**2 - 4*l + 3. Let f(c) = 8*r(c) + 5*w(c). Let x be f(3). What is x rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1, 54, 153, 302, 507, 774?\n\"Answer: r**3 + 16*r**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4904 - 0.2.\nAnswer: -4904.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 9*d**2 + d - 5. Let k be j(9). Suppose -2*r = z - 10, k*z = r + 3*r + 4. Solve 5 = -4*u - r for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3514 - 2029. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k + 263 + 278 + 267 + 230 in the form p + s*k and give p.\nAnswer: 1038","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000047240115 rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16784*y**3 - 16786*y**3 - 43198 - 43202 + 86400.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -96*c**3 + 4*c**2 + 4*c - 6. Calculate the remainder when x(-2) is divided by 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 385680103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137 divided by -2.\nAnswer: -137\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 43*m + 11*m**2 + 3*m**3 - m**3 - 23*m + 6 - 26*m. Let t be a(-5). Solve -41 + t = -5*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(1\/3)*m)**(-6\/5)*m**(-7)*m**(-1) assuming m is positive.\nAnswer: m**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -1 (c) -0.2 (d) -9.7153282\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 1 = j, h - 18 = j + 17. Which is the second smallest value? (a) -5\/8 (b) -4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3035041 (base 6) to base 2.\nAnswer: -100011011001000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -163, -663, -1499, -2671, -4179, -6023?\nAnswer: -8203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ioi when three letters picked without replacement from iooooiooooooio?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 5, 2, -0.008?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 0*q + 0*q + 4*q**2)*(19*q**3 + 50*q - 50*q) + (-q + 2*q + q)*(3*q**4 + 2*q**4 - 4*q**4) - q**5 - 3*q**3 + 3*q**3.\nAnswer: 77*q**5 + 19*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**2\/17 - 4876*d + 248694\/17 = 0.\nAnswer: -41449, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6e38a (base 15) to base 4.\nAnswer: -1111320331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 1152?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 291, 288, 285, 282?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-14) - (2653\/(-196) - -12)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z - 1. Let g(a) = a + 2. Let r(x) = g(x) + 2*n(x). Let o(j) = -2*j + 19. What is r(o(l))?\nAnswer: 2*l - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5 = 3*i. Suppose 0 = -3*u + i*p, 2*p = 3*u + p. Solve d = u, 0*g - 2*g - 6 = -5*d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8710 + 52397\/6. Find the common denominator of (0 - -1)\/(10\/119) and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 34? (a) 1 (b) -1 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1*sqrt(99)*-2*6 + 0 - (-2 + 2*sqrt(99)*3)*5))**2.\nAnswer: -27000*sqrt(11) + 804400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 18*z - 15. Let b(q) = -2*q - 2. Let y(v) = -b(v) - m(v). Calculate y(7).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + -26. Let d = t + 44. Solve 4*c = c - d for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 3*k + 13. Give w(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -24, -1, 27.\nAnswer: -24, -1, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of 14*a**4\/3 + 2*a**3\/3 + 9*a**2\/2 + 6*a. Is t(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 9 + -11 - -11) + -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000012097 to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 + 10 - 15)*(-6519*d**2 + 119 - 47 - 37 - 35) to w*d + s*d**2 + y and give s.\nAnswer: 143418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 a when three letters picked without replacement from {q: 9, i: 2, a: 5}?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-55)\/(-165))\/((-2)\/(-168)*-1)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34.400522 + 34.4. What is r rounded to 5 dps?\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1865981 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b5b09 - -2?\nAnswer: b5b0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50845*c + 0*f + 302 = 50840*c + 2*f + f, 4*c - 18*f = -304 for c.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o - 4. Let z(d) = d - 2. Calculate -6*q(v) + 11*z(v).\nAnswer: -7*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d + 2228*d**2 + 0*d - 2271*d**2 to the form k*d**2 + s*d + p and give k.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 2*t = -3*y, -19 = -2*y - 3*t for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10465 or -10483?\nAnswer: -10465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1078418?\nAnswer: 2, 11, 49019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = -3*s - 40. List the prime factors of s.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/(m**2\/m)))**(-18)*m**(1\/5)*m**(-4\/7))**(-6\/19))**(-15) assuming m is positive.\nAnswer: m**(-11574\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 47530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18688585, 18688582, 18688579?\nAnswer: 18688576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 214571 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -34\/13 (b) 2\/7 (c) -194\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*sqrt(7)*-4 + -5)**2 + ((sqrt(1008) - (sqrt(1008) - (sqrt(1008) + (3*sqrt(1008) + sqrt(1008) - sqrt(1008))))) + -3 + 5)**2.\nAnswer: 672*sqrt(7) + 32285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.14, -100, 3\/4, 5?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 73*j - 6. Let b(g) = 2*g - 5. Give -b(r) + d(r).\nAnswer: 71*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 628223381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2079, 3772, 5471, 7176, 8887?\nAnswer: 10604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 8209*t**3 + 11 - 1 - 10 + 2 as d*t + c*t**3 + g*t**2 + y and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.3 rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*s = -3*w - 96*s - 43, -2*w - s + 9 = 3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 6*p**2 + 6*p - 2. Let a be ((-7)\/(-4))\/((-3)\/12). What is n(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1896*x + 37694 - 25279 + 29297 = 0 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/2*(-9 + (-909)\/(-99)). Which is the third smallest value? (a) i (b) 2 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31 and 3655356?\nAnswer: 113316036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of i**4*u + i**2*u**2 - i*u + 1883*i - 2*u**2 - 250*u + 102 wrt i?\nAnswer: 4*i**3*u + 2*i*u**2 - u + 1883","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 21*u. Let v(n) = 12*n + 5. Let p(a) = 14*a + 6. Let i(t) = -5*p(t) + 6*v(t). Calculate i(w(c)).\nAnswer: 42*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131836\/69 + (-4)\/24*4.\nAnswer: 2, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 2:52 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-3))\/((-72)\/432) + 62. Solve 26*p + u = -150 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-3)*4 + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1411 and 425561.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51612 is divided by 6415.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -8. Let u be (2\/3)\/(r\/(-18)). Suppose 5*v = -2*q + 20, -7*v = u*q - 3*v - 23. What is the highest common factor of 40 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/10 and -29\/28252.\nAnswer: 141260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17910 greater than or equal to 807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2. Let j(v) = 177*v - 518. Give j(b(r)).\nAnswer: 177*r**2 - 518","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22964 to the power of 1\/2, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -464, -3709, -12532, -29723, -58072?\n\"Answer: -465*n**3 + n**2 + 7*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 636782*t**2 + 0*t - 639627*t**2 - 2*t to the form j*t + d*t**2 + x and give d.\nAnswer: -2845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + -1*(sqrt(7) + sqrt(21)\/sqrt(48)) + 5)**2.\nAnswer: -5*sqrt(7)\/2 + 191\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3906637 + 5.3?\nAnswer: 4.9093363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 231 and 2331?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1902*z**2 - 1847*z**2 + 5644*z**2 - 1898*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 149687*y + 71873 wrt y?\nAnswer: 149687","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 5:04 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**10\/q))\/(q**(-5)\/q))\/((q\/(q**6*q*q))\/(q**(-2\/9)\/q)) assuming q is positive.\nAnswer: q**(34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 103 + 1356?\nAnswer: 1462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-33)\/(-110))\/(-2 - (-1)\/2). What is the second smallest value in -2\/13, i, -123?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*l + 4*j - 92, -554*j = -3*l - 549*j - 157 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36501\/(-340676))\/((-4)\/(-210)).\nAnswer: -45\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g - 2*g + 3 + 0)*(0 - 3 + 4) - 3*g + g - 7*g + 3*g + 0*g - 2*g + (-1 - 4 + 6)*(-g + g + g) as l + y*g and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -2*a**6\/15 + 342*a**5\/5 - 28549*a**4\/3 - 78888*a**3 - 239432*a**2 + 3452*a. Let c(q) = 0. What is q?\nAnswer: -2, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 80*q + 87*q + 81*q + 178*q - 420*q.\nAnswer: 6*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -422*u**4 - 560?\nAnswer: -1688*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29\/(-58) - (-1 - 30\/4) and 36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1072\/(-112) + (-4)\/(-7). Let p(i) = i**3 - 4*i**2 + 4*i - 1. Let l be p(4). Let f = l + g. Is 2 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -5\/3 (c) -140\/31 (d) -5 (e) -23\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v. Let s(i) = 4215*i - 1. Give c(s(k)).\nAnswer: 4215*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*k + 29 = 5*c, -5*c + 21 = -k. Suppose 4*z - 59 = 3*w, 0 = 5*w + c. What is the lowest common multiple of (-4)\/(4\/3) + z and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1913.1416327 rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10586005 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/8 of a milligram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j + 1. Let o(u) = 13*u - 4. Let a(i) = -18*n(i) - 4*o(i). Suppose 45*m - 39*m + 18 = 0. Calculate a(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 834496 and 236?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 3*t - 7 = 10, 0 = 2*t - 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k**3 + 3891*k - 2 - 3891*k + 2.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 289.00274 + -289. What is f rounded to 4 dps?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -505776 divided by -3\nAnswer: 168592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -2 + -2 + 0 - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -98 + 101. Suppose -z*b + b = -100. Let p be (-35*b)\/((2\/(-49600))\/(-1)). Round p to the nearest 1000000.\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.07115 kilograms to nanograms.\nAnswer: 5071150000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-1))\/16*2 + (-517)\/44.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47816 is divided by 995.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 4, -16, -166 in increasing order.\nAnswer: -166, -16, -15, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 133*i*p**3 + 2*i + p**3 - 17*p wrt i?\nAnswer: 133*p**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 466139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 158*y - 1. Let s be w(5). Suppose -3*k + 0*k = -s. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17899 less than 17740?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -132 + 142. Let o = 10.1 - b. What is the biggest value in -0.3, o, -1\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-1404)*(-2 - 71*-3). Let u = i + -1\/156. Sort 2, u, -4 in descending order.\nAnswer: 2, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*a + 1, -b + 26 = 4*b - 3*a. Let x = b - 2. Are 2 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 6 = -2*i, 5 = 3*o + 2. Which is bigger: i or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37585 + 66691. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14924.92*-0.02\nAnswer: -298.4984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2\/u)\/(u**(-3)\/u) assuming u is positive.\nAnswer: u**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -178*f + 1127. What is n(11)?\nAnswer: -831","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 579 is divided by 146.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 97*s**7\/105 - 301*s**4\/24 - 28*s**2. Find the second derivative of v(u) wrt u.\nAnswer: 2328*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*c - 252. Is -1*6 - c\/(-3) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 55, -181, -567, -1097, -1765?\n\"Answer: p**3 - 81*p**2 + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*-3.076.\nAnswer: -0.03076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**4\/3 - 11*d**3\/3 + d**2 + 31*d\/3 - 22\/3 = 0. Calculate d.\nAnswer: -11, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 2*t - t**2)*(3*t - 3*t + 3*t**3) + t**5 + 4*t - 4*t.\nAnswer: -2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m. Let b(q) = -5*q + 3. Let p(a) = 35*a - 20. Let o(g) = -20*b(g) - 3*p(g). What is o(z(t))?\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 380974?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a - 1. Let u(r) = -r**3 + 3*r**2 - 3*r + 1. Let q(s) = -s - 13. Let b be q(-10). Let z(i) = b*w(i) - u(i). Does 2 divide z(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - k)*(-5*k + 5*k - 2*k**2) + 3*k**3 - 2*k**3 + 2*k**3.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*w + 67*w + 96*w)*(-6 + 3 + 1)*(0*w**2 - 5*w**2 + 4*w**2)*(-14 + 1 - 1) to the form x + j*w + r*w**2 + m*w**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + p - 94 = -4*a, 3*a - 4*p - 74 = 0. Suppose -3*y + 15 - 3 = 0. Suppose 85 = y*s + 13. What is the smallest common multiple of a and s?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/8 + 3433*g\/4 + 11785489\/8.\nAnswer: (g + 3433)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 15, -56, -249, -624, -1241, -2160, -3441, -5144?\n\"Answer: -10*x**3 - x**2 + 2*x + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 1, 1140?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*q - 8 - 1 + 11)*(-8*q**4 - 7*q**4 - 2*q**4).\nAnswer: -187*q**5 - 34*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adlafhhdlaahfj. What is prob of sequence dl?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) -4 (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 681 + -667. Let q(n) = n**2 - 4*n - 9. Let b be q(6). Solve -t - 10 = -5*o - 32, -y = b*o - t for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 4*a**2 - a. Let h be n(4). Let z = h - -7. Solve 9 = z*l + 18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a kilogram in grams?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -18637446*s. Let c(x) = 2*x. Calculate w(c(j)).\nAnswer: -37274892*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 2351030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 585.0261 micrograms to grams.\nAnswer: 0.0005850261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -23935.19\nAnswer: -23937.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 578, 4733, 16174, 38603, 75722, 131233, 208838, 312239?\nAnswer: 445138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.18 - -0.68. Let k = 7.1 - 8.1. Put k, v, 8 in ascending order.\nAnswer: k, v, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*264\/(-4)*(-29)\/87?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/42)\/((1\/(-3))\/1). Let n be 1\/(-5 - (-4980)\/994). Let i = 99 - n. What is the closest to 0.3 in p, 2, i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*((d*d*d**(1\/3))\/d)\/d*d)\/d**(-6))**(12\/13)\/((d*d**(-1\/3))**(3\/16)\/(d*(d*d\/d**1)\/d*d*d**7)) assuming d is positive.\nAnswer: d**(1723\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/30 + 17\/34. Let o = -10 - -29\/3. Let w = 0.6 - 0.1. Sort o, y, w in descending order.\nAnswer: w, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/15 - ((-11)\/3 - 0). Suppose 2*p - 19102 = g*b - 0*p, -4*p = b + 4789. Let r = b + 85963\/18. Calculate the common denominator of -41\/2 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77*(-21)\/((-4620)\/(-40))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/3 - 1629*l**2 - 6520*l - 19564\/3.\nAnswer: (l - 4891)*(l + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -60\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (25\/(-8)*6\/21)\/(8240\/(-17304))\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -8*x - 5. Let n be u(-1). Suppose n*f = -3*h + 528, -3*h = -5*f - 64 + 976. Calculate the highest common factor of 20 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1143*s + 287*s**6 - 1143*s + 422*s**2 wrt s?\nAnswer: 34440*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*q - 27 = 0, 0*t = 2*t - 2*q. Let x(y) = -4 - y**2 + t + 5 - y. Calculate x(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + h + 7 = 0, -3*h - 3 = -2*h. Suppose -j + 4*j + 20 = 2*l, j - 2*l + 12 = 0. Put -5, x, 3, j in ascending order.\nAnswer: -5, j, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.3624*-0.4.\nAnswer: -4.54496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 2:07 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in thirty-seven halves of a millennium?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + (-13 - -12) - -13) + (6 + 0 - 35).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p**3 + 5*p**3 - 23 + 1 + 16 + 2*p**2 + 4*p - 10*p**4 + 7 to the form q*p + c*p**3 + j + d*p**4 + a*p**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*q = -35*q + 28. Suppose 11*u - 950 = -q*u. Calculate the remainder when 92 is divided by u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 206 - -135?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 397802944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*91\/(-520))\/((-1)\/(-5)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(432) + 3) + sqrt(432)*3 + 2 + 4)**2.\nAnswer: 2160*sqrt(3) + 15777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 748 - ((-1)\/(-1) - -2). Suppose -5*x + i = 6*f - f, -x + 144 = 2*f. Suppose -2*z - 62 = -x. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 529556043 to the power of 1\/3, to the nearest integer?\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 15*u**2 + 179*u - 16. Let q be g(-12). What is the nearest to 0 in 1\/3, -5, q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/860 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 13*i**2 + 21*i - 4. Let m be j(12). Suppose -3*d + 10*d = m. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 0*g - 2 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2473000 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/242537 (b) -0.734 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y = 9*y + 100. Suppose p = y - 28. Let k be 2\/13 + p\/(-234). Which is the biggest value? (a) 2\/5 (b) k (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 846964094?\nAnswer: 2, 10163, 41669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a day in hours?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1619152 to the power of 1\/2, to the nearest integer?\nAnswer: 1272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*t = 66 + 26, -4*q - 2*t - 190 = 0. Let f be 1400\/(-35) + (3 - 2). Let a = q - f. Does a = -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177349391 to the power of 1\/3, to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-38)\/((24\/(-52))\/3). Is (-1)\/((-495)\/t - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 24*d - 8. What is the remainder when z(2) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55242547.\nAnswer: 55242547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10103*o - 31 = -10105*o + 25*f, -4*f = -5*o + 370 for o.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-41 - -56)*(-2)\/(-6). Suppose -1425 - 1440 = -r*p. What are the prime factors of p?\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (354\/885)\/(2\/(-10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 5, 2\/5, -1\/7, 10\/7.\nAnswer: -1\/7, 2\/11, 2\/5, 10\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 6*d + 1. Let c(y) = 89*y + 87*y - 257*y - 1 + 78*y. Give 5*c(o) + 3*w(o).\nAnswer: 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 36 - 12 = 0. Let s be 54 + 6*(-2)\/v. Calculate the greatest common divisor of s and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18706026?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11991717 and 3933.\nAnswer: 11991717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33121?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234 = -293*t + 1964 - 265 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -201022 (base 3) in base 14?\nAnswer: -293","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, p: 3}. What is prob of sequence pz?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18.1 - 135.5. Let j = h + 153. What is the nearest to j in 5, -1\/2, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18269 - 11677. What are the prime factors of q?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rlcgbra. Give prob of sequence ca.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*l - 95*l**2 - 14*l + 2 + 87*l**2 to o*l + y*l**2 + k and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2. Let u(o) = 235*o**2. Determine -25*c(y) - 5*u(y).\nAnswer: -1225*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -305 + -4?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*a - a - 28 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5910666 a multiple of 487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38.4 - -38. Which is the third biggest value? (a) o (b) 0.2 (c) -0.5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8610854 divided by 2\nAnswer: 4305427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 180, 209, 202, 135, -16, -275?\nAnswer: -666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -41*p**2 + 91*p**2 + 9*p - 49*p**2. Let a be k(-10). Solve -6 = -13*o + a*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/366725 - -48040783\/70411200. Calculate the common denominator of o and 8\/21.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13240 to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 13 = -6*j. Let o = 218 + -216. Solve c = o, 3*a + 2*c = 3 + j for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 9*s + 46. Calculate p(11).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((67 - 63) + (-6 + 6 - -47) - 12) + 9\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3652 and 2739?\nAnswer: 10956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*a + 13, -a + 8 = y + a. Sort y, -107, -5 in ascending order.\nAnswer: -107, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + (-3*-3*(sqrt(567) - (-3 + 1*sqrt(567) - sqrt(567)))*-2)**2.\nAnswer: 17496*sqrt(7) + 186615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 10*t**2 + 2*t. What is the tens digit of r(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203918179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 122*u + 1722 = -124*u, 1738 = 5*o + 2*u. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, z: 9, n: 2, a: 3, o: 1}. Give prob of picking 1 n, 1 o, and 2 z.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -133997 - -2006413\/15. Let w = x - -236. Let s(k) = k - 9. Let q be s(10). Which is the second smallest value? (a) q (b) -1\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-21)*n*n**(2\/11))**(-33) assuming n is positive.\nAnswer: n**654","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**3 + o**2 - 3*o - 1. Let p(j) = -j**3 - 7*j**2 + 14*j - 5. Let t(h) = l(h) + p(h). Factor t(d).\nAnswer: (d - 3)*(d - 2)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134611, -538569, -1211875, -2154529?\nAnswer: -3366531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 3*z + 3. Suppose 0*j = -2*k + 4*j - 12, 3*k - 7 = j. Give v(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 3\/5, 0.4, -5\/4, 132\/7, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 168.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/7 (b) -1 (c) -0.2 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 594 and 72.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 165*c + 3903. Determine y(-21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 2243656?\nAnswer: 2243654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*a - 40 = 0, 4*z + 10*a = 6*a + 112. Let q = 2 + -3. Let b = 5 + q. Calculate the highest common divisor of b and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -151, -158, -165, -172, -179?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59085 is divided by 367?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j + 4. Let h be f(-3). Let w be (316\/162 + -2)*120\/(-80). Sort 0.2, h, w in increasing order.\nAnswer: w, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99848.33 meters in millimeters?\nAnswer: 99848330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 270 - 268. Suppose -5*o = 3*m - 46, p*o - 1 = 3*m + 9. What is the highest common divisor of 104 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4954841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s - 43. Let o(c) be the second derivative of c**6\/180 + c**3\/3 - 65*c**2\/2 - 75*c + 2. Let q(x) be the second derivative of o(x). Calculate m(q(z)).\nAnswer: -2*z**2 - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 695272359?\nAnswer: 3, 23, 1613, 6247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-16)*(-8)\/(-42)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*n + 80 = 0. Suppose -5*v = -52 - 58. Calculate the least common multiple of n and v.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 816 - 368. Is h less than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 39391?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-25))\/((36\/(-300))\/(6\/(-4)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 195130 to the nearest one thousand.\nAnswer: 195000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 5*v - a, -4*v - 2*a - 3*a = -97. Let q(m) = -5*m - 4. Let i be q(-3). Suppose -i*z = -7*z - 92. What is the highest common factor of z and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 5:43 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -152\/35 + -6\/7. Let a(d) = d**2 - 8*d + 8. Let x be a(6). Which is smaller: x or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3900965 is divided by 180.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -14*c**3 + 6580*c**2 + 5. Give y(470).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 3*m**3\/2 + 5*m**2\/2 - 14*m. Let c be h(3). Factor 10*d**3 - 2*d**4 + c*d**2 + 14*d**4 - 26*d**4 + 8*d.\nAnswer: -2*d*(d - 2)*(d + 1)*(7*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -31, -40, -35, -10, 41, 124, 245?\n\"Answer: c**3 + c**2 - 19*c - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 8*n - 5. Let h be o(-7). Suppose 5*b + 6 = 4*g - 7, 5*g - 2*b = 12. What is the first derivative of -3*j - j + h + g*j wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*m + 2*q, 2*m = -3*q - 3 - 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**3 + 1013*d + 23*d**3 - 1013*d.\nAnswer: 26*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4*y + 4)*(-1 - 1 - 1 + 3 - 4 + 2 + (3 - 3 + 2)*(-3 + 0 + 2) - 3 + 0 + 1).\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 4*h. Find the second derivative of -2*a**3 + a**3 - 3*a + 4*a + h*a wrt a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 718 = 172*q + 30 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -23*k + 7. Let y(j) = -1. Calculate 2*o(w) + 14*y(w).\nAnswer: -46*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -c**5\/20 + 3*c**4\/4 - 5*c**3\/3 + 11*c**2 + 23*c. Let u be q(8). Solve -3*k + u = -6*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26099\/28 + -932. Let l = z + -1\/140. Let k = -4.16 + 0.16. Which is the closest to -1? (a) 2\/7 (b) k (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7743 - -15681. Suppose 8*t - 5318 = g. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 89 - 21. Suppose -d = -2*y + 3*w - 2*w, 0 = 2*y + 2*w - 40. What is the remainder when 42 is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6 = 4. What is the least common multiple of 6 and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13655 - 6125. Suppose -4*x = 3*i - w, -3*x + 4690 = 3*i - 956. Suppose -4*y + x + 112 = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4940)\/114)\/(140\/(-168)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*s + 15 = 19*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -147823, -147821, -147821, -147823?\nAnswer: -147827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of 86*l**6\/5 + 11*l**4\/4 + l**3\/2 + 307*l**2 + 4*l. Find the second derivative of k(y) wrt y.\nAnswer: 12384*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 2:36 PM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 10. Let u = 0 + w. List the prime factors of 0 - (u\/(-1) - 10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 3*d**2 - 7*d - 3. Let o = 311 + -282. Calculate the remainder when s(7) is divided by o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/12)\/((-66)\/176)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2974 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**3 - 552*m**2 + 18482*m - 86. What is h(39)?\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6487\/6 + 1081. What is the second biggest value in 4, 14, b, -2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-405)*15\/6.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1461)\/9 - -3)*3. Let q = 1092 + k. Let d = q - 403. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + m - 6 = s, 2*s - 5*m = 21. Let r be (-13 + 27)*(-60)\/(-14). Is r - -1 - (0 + s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 8*r - 5. Let s(h) = 4*h - 1. Let q be s(1). Let l = q + 4. Is 15 a factor of v(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.354 - -0.046. Let t = -4 - -2. Which is the smallest value? (a) 3\/2 (b) z (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 35 = -2*h, 4015 - 2019 = -5*h - 3*f + 2111 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 255 - 247. Let m be ((-30)\/(-8))\/(f + -5). Which is the closest to -6? (a) -5 (b) m (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1436 + 2?\nAnswer: 1438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -6*f**3 - f - 1. Let v be m(1). Let w = 128 + v. Suppose 0 = -8*n + 13*n - w. What is the greatest common factor of 72 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 475 divided by -33?\nAnswer: -475\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 142121383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 7 = -37. Let g(k) = -k**2 - 9*k + 16. What is the remainder when 169 is divided by g(d)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -336, -337, -338, -339, -340?\nAnswer: -341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(-3)\/b)*b)\/b**(-10\/3))\/((b*b\/(b**(-7)*b)*b)\/b**(1\/9)) assuming b is positive.\nAnswer: b**(4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**4 + 3 + 25*h**2 - 3 + 1 - 27*h**2 + 10*h**3 + 3*h**4 in the form r + c*h**3 + q*h**4 + g*h + m*h**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/44880 and 193\/12246630.\nAnswer: 97973040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 7.5. Let q = -2.98841 + -0.01159. Which is the third smallest value? (a) -1 (b) q (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + 1. What is the greatest common divisor of 40 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 5*c + 3. Suppose 5*g = 2*g + 15. Let s be z(g). Suppose 5*b = -5*p + 36 - 1, -s*b + 2*p + 1 = 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 233465932 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0016646398 to 5 dps.\nAnswer: 0.00166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14.92 - 36.08. Sort 0.3, 3, 5, r, -0.4 in ascending order.\nAnswer: r, -0.4, 0.3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -235176110 divided by 247?\nAnswer: -952130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 986 = 4*v + 6959, 3978 = 2*p - 4*v. Is p a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 2. Suppose 3*n = -2*i - 13, -n + 2*n - i + 1 = 0. What is the remainder when 6\/(-21) - (-1024)\/56 is divided by h(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -90.032 - -90. What is i rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 345612.5 kilometers to millimeters.\nAnswer: 345612500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -6*p**2 + 8*p - 5. Let i = 121 + -92. Suppose -i = -10*z + 11. Let w(c) = -5*c**2 + 7*c - 4. Give z*t(y) - 5*w(y).\nAnswer: y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2010022 (base 4) to base 12\nAnswer: 4a8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -19 (c) 54 (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-4))\/(45\/36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 799, -341, 5.\nAnswer: -341, 5, 799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/11, 18, -3\/13?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 144*b**2 - 2*b - 1. What is the remainder when u(-1) is divided by (-2)\/(292\/49 - 6)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*n = -140*n + o - 3, 0 = 4*o + 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-n + n - n**3)*(-1 + n + 1) + (0*n - 3*n + n)*(0*n + 0*n + n**3) - 5*n**4 + n**4 + 3*n**4 + 0*n**4 - 3*n**4 + 0*n**4)*(24 + 156 + 8).\nAnswer: -1316*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r + 0*r - 2*r)*(4 - 17 + 50*r + 12) to the form w + q*r + a*r**2 and give a.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-902589)\/(-483) + (0 - 2\/(-7)). Suppose 5*l = 2*l + a. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/15 - 7938*z\/5.\nAnswer: 2*z*(z - 11907)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 14, x: 4}. Give prob of sequence xg.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14*(-8)\/(-16) - (2 - -1). Let r be 112\/(-12)*(-3)\/2. Let k be (-38)\/r + 0 + 3. Which is the smallest value? (a) -1 (b) k (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 177 + 1251402\/(-6519) + 5*3\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**(1\/4)*n)\/(n*n**(-1\/4)*n))\/(n**1)**49)**(4\/17))**(-25\/6) assuming n is positive.\nAnswer: n**(825\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 14) to base 11\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) -1 (c) -7 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d. Let o(s) = -16665058*s. Determine o(i(r)).\nAnswer: 66660232*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -1786, 5, 0, 3, -4.\nAnswer: -1786, -4, 0, 3, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 7*k**3 + 3*k**2 - k + 1. Let g(j) = -15*j**3 - 5*j**2 + 2*j - 2. Let p(i) = 6*g(i) + 13*w(i). Let y be p(-10). Let o = y + 124. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -12*d**2 - 89*d - 49. Determine r(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/35)\/(6\/(-4))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*y - 34, -4*y + 41 = -5*b - 35. Let m(r) = -r**3 - 12*r**2 + 35*r - 13. What are the prime factors of m(b)?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 10. Let m(s) = s**2 + 20*s + 44. Let f = -72 + 54. Let c be m(f). Solve -2*v + 3*n - 3 + 11 = 0, -2*v + d*n = -c for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -c - 135. Calculate the common denominator of -6*-2*(-39)\/c and ((-4)\/18)\/((-16)\/(-372)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5*c = 40, c + 25 - 69 = 5*h. Let a(f) = -7*f + 26. Let b(q) = -4*q + 13. Let g(x) = -6*a(x) + 11*b(x). Is g(h) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 3569811.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((-5)\/(-4575) + 0). What is the greatest common divisor of 30 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 - -77. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1 - 9\/6)\/(-5 + 6))\/(-498 + 472).\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (11 - 10 - (-1 - -4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*u - 26 = -3*c, 38 = 4*c + u. Suppose 4*l + 2*w - 4 = -0*w, -3 = -3*l + 2*w. Calculate the lowest common multiple of c and (l*(0 + 1))\/1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2126810 to the power of 1\/4, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18\/11 in 23, -1\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 163 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*n - 428 - 3*n + 821 - 408 to o + d*n and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h - 16*h - 2 - 151019*h**2 + 10. Let i be d(7). What is i rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.52398 - -0.32398. Let g = 121\/144 - 1\/144. What is the smallest value in k, g, 5, 2\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 94*k - 371. Let z be h(4). Which is greater: z or 1\/155?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b + 784 = 754 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (4*13\/130)\/(5*24\/6900)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1221 (base 3) to base 15.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 30750320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - (3 + (-45)\/6). What is the second smallest value in -5, j, -1\/2, -2\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -10.12. Let m = s + -0.125. What is m rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 5) to base 15\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*n)*(4 - 4 - 2) + 0 + 2*n + 0 + (-68 + 3 + 41)*(3*n - n + 0*n).\nAnswer: -50*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*k + 1. Let s(a) be the third derivative of -1\/6*a**3 + 0*a + 0 + 1\/24*a**4 + a**2. Let t(x) = -2*x + 1. Determine k*s(i) - 2*t(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -5*r**3\/3 + 63. Let y(z) be the second derivative of -z**3\/3 - z. Determine v(y(b)).\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s**2 + 2*s + 2. Give x(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k**2 - 6*k - 2. Let p be i(-3). Let l = p - 35. Calculate the lowest common multiple of l and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + d. Suppose 2*y + d = 8. Let b be (-5 + 2 + 3)\/(15\/(-5)). Solve 0*k - 3*k - y*n = 6, k - 2*n - 8 = b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ebxyy. Give prob of picking 1 b, 1 e, and 2 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**5 - 199403*i**4 - 9941485768*i**3 - 109340192304*i**2 - 397581267456*i - 477086035968 = 0.\nAnswer: -99696, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**2 - o - 1. Let h(q) = -7*q**3 + 18*q**2 + 5*q + 6. Give -h(a) - 6*w(a).\nAnswer: 7*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a = 31*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -35 + 7 - (-196)\/7?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64 - 67. What is the nearest to 2\/5 in 33, -5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4310?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a - 3 - 7*a + 14*a + 74.\nAnswer: 2*a + 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 22 + -25?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/840 and -71\/2436?\nAnswer: 24360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/4*(-1870)\/(-765). Let q be 3170\/(-6 + i) - (5 - 0). Calculate the greatest common factor of q and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3812084707 to the power of 1\/5, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.2 (b) 4 (c) -4 (d) -2\/143\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 2\/9, 0.091, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 0, 397*d - 392*d + 4*u = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n. Let d(t) = 17*t - 2. Let q(j) = -50*j + 7. Let s(b) = 7*d(b) + 2*q(b). Give x(s(h)).\nAnswer: 38*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2. Let v be -1 + (-8)\/(-7) + (-320)\/(-896). Let i(o) be the first derivative of -v*o**2 + 0*o + 12. What is i(d(u))?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -22?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 1, 0.07, -2\/11, -15, 0.102?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 131 - 118. What is the remainder when 42 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65 - -70. Suppose -4*o = 16, -4*w + 3*o + 2*o = -4. Sort k, w, -1\/2 in increasing order.\nAnswer: w, -1\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.91 - 553457097.\nAnswer: -553457096.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 0.0793, -16, 1, 0.4?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -p**4\/6 + 112*p. Let l(c) = -56*c. Give a(l(z)).\nAnswer: -6272*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -198, -287, -388, -507, -650, -823, -1032?\nAnswer: -1283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7728 = 3628*o - 3620*o. What is the hundreds digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 874 - -614. Let v = s - 508. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 19 + 1 - (2 + 2 + 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5982 - -6055. Calculate the remainder when 348 is divided by x.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*1 + 340\/20. Let w be (5 - k\/4) + (-1)\/4. Suppose 0 = 2*y - w*y - 70. What is the remainder when y is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 535.2344 micrograms to grams.\nAnswer: 0.0005352344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004489 to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 114.436 + -9.536. Round s to the nearest integer.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - 34\/8 - (-15)\/12. Suppose -2*s = 2*w - 12, w + 12 = j*s - 4*w. Let z(r) = r**2 - 6*r + 24. What is the smallest common multiple of z(s) and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(102)*-2)\/sqrt(6) - sqrt(2448)*-1) + (0 + sqrt(153) + -2 + sqrt(1377))**2 + -1).\nAnswer: -12255 + 190*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81988 + -57437. Is f a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -22*c + 18*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -464 + 529. What is the remainder when 117 is divided by i?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 7*o. Let l(x) be the third derivative of -x**4\/3 - x**3\/6 - 3*x**2 - 86*x. Suppose -17 - 13 = -10*t. Give t*j(w) + 2*l(w).\nAnswer: 5*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 14, 7, 2, -5, -4, -2 in decreasing order.\nAnswer: 14, 7, 2, -2, -4, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 3*a**5\/8 + 61*a**4\/8 + 11*a**3\/8 - 189*a**2\/8 - 91*a\/4 - 5 = 0.\nAnswer: -20, -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 71029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 910.77 minus -2425969?\nAnswer: 2426879.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -1\/6*p**4 + 0 - 2*p + 0*p**3 + 0*p**2. Let g(k) = -k**2. Calculate -11*g(q) + 6*m(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 828983 is divided by 43.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -138 - -193. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8514 is divided by 219.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3 - 6 + 5*j**2 - 9*j**2 - 11*j. Let x(w) = -5*w**2 - 12*w - 4. Let o(a) = 6*v(a) - 5*x(a). List the prime factors of o(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-2*sqrt(99) + sqrt(99) - sqrt(99))\/sqrt(9))**2 - ((sqrt(11) + sqrt(33)\/sqrt(3) + sqrt(11))*3 + 2)**2.\nAnswer: -36*sqrt(11) + 205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 14*p**2 + 6*p - 36. Let l be t(14). Let r = 1078 + -694. What is the highest common factor of l and r?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*y + r, 5*r + 22 = y - 9. Suppose 2*s + 12 + y = 0. Let a = s - -11. Are 2 and a unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10\/11 (b) 0.4 (c) 3\/5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 2.2. Let l = k + -0.3. Let o = 18 + -17. What is the closest to o in 1, l, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5009, -4968, -4891, -4772, -4605, -4384, -4103, -3756?\nAnswer: -3337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - -15) + -15 - 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6120559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -13)*(-208)\/192 - -3?\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 4:49 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2842790 divided by 2.\nAnswer: 1421395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3 = x, 0*a = 2*x + 5*a. Suppose 4*h = -h - 5*i + 35, x*h + 4*i = 34. Suppose 2*m - h = 8. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 3*l + 1078565. Let y be g(0). Suppose v = -y + 3368565. What is v rounded to the nearest 100000?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 4*z + 14, 4*s + 2*z = -282 + 260 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*t**5\/6 - 15*t**4 - 16*t**3 - 16*t**2\/3 = 0. Calculate t.\nAnswer: -2, -4\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, b: 3}. Give prob of sequence ybbb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.03, -2, 0.4 in decreasing order.\nAnswer: 0.4, 0.1, 0.03, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -954.1826 equal to -0.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1827, -1699, -1507, -1257, -955, -607?\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and 176962.\nAnswer: 176961.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/4 - 650*r**3 + 7793*r**2\/4 - 2597*r\/2.\nAnswer: r*(r - 2597)*(r - 2)*(r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {h: 4, i: 7}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 188666?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, 9, 50514 in descending order.\nAnswer: 50514, 9, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k**5 - 1978*k**4 + 23992*k**3 - 77390*k**2 + 86232*k - 22680 = 0 for k.\nAnswer: -135, 3\/8, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 - 222*o + 5. Determine x(111).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*sqrt(2)*1 - -1*sqrt(2)*-3) + sqrt(8)\/(-4*sqrt(4)) + sqrt(2) + -3 + sqrt(162).\nAnswer: -6 + 23*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -184 + 1. Let a = 227 + h. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239029517?\nAnswer: 137, 157, 11113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9380507447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l - 36. Let z(j) be the third derivative of -j**4\/12 - 5*j**2 + 56. What is t(z(u))?\nAnswer: 10*u - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(-2)\/(-2) + (-13 - -12). Solve 2*g + 10\/7*g**b + 4\/7 = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -43*l**2 - 4*l + 23. Let y(a) = -22*a**2 - 3*a + 13. Calculate 3*r(f) - 5*y(f).\nAnswer: -19*f**2 + 3*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 40, 90, 160, 250, 360?\nAnswer: 490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 + t**3 + 3*t**3 + 45 + 3*t**3 in the form m*t**3 + s*t + q + j*t**2 and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o + 5*o + o + 3*o - 14*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + p + 1. Let r(f) = 2*f**2 - 1. Let v(z) = 2*r(z) + 3*u(z). Suppose 0 = -2*h - 4*a - 2, -4 = -4*h + a - 5*a. Is v(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -154 (b) -0.03 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -81\/10 - -563\/70. Let d = 25.5 - 25.9. Let g be (-10)\/15*(2 + 1). Sort p, g, 0.5, d in increasing order.\nAnswer: g, d, p, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o + 3. Let i be p(1). Suppose -i*y = -4*y + 4*g + 56, -3*y = 5*g - 51. Let d = 88 - 78. Calculate the least common multiple of d and y.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 382*i - 430*i. Let w be (16\/(-6))\/(3\/171). Which is the biggest value? (a) 3 (b) i (c) w (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/1140*10\/4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2634.94 - -347.24. What is k rounded to the nearest one hundred?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1956.\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, a: 2, f: 2}. Give prob of picking 2 a and 1 u.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*g**3 + 26*g - 1322 wrt g?\nAnswer: 36*g**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-6)*(-1 - -1). Suppose b - 4*b - 21 = i. Let z = b - -16. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 327 and 28437337?\nAnswer: 85312011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 + 525*j**2 - 35930*j + 277200.\nAnswer: 5*(j - 40)*(j - 9)*(j + 154)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3726 divide 63733230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5604615 and 16205?\nAnswer: 39232305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, d: 2, s: 1, c: 1, w: 1, k: 2}. Give prob of sequence dk.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*1*-3 - (sqrt(228) - 1*sqrt(228))*1)\/(sqrt(24)\/(2*sqrt(8))*6).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 550\/372 - (3 - (-10)\/(-5)). Let c = b - -2\/93. Factor 3\/2*n - 1\/2 - 3\/2*n**2 + c*n**3.\nAnswer: (n - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35817079 divided by 4\nAnswer: 35817079\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.01, -3\/4, 0.4, 3.\nAnswer: -3\/4, -0.1, -0.01, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o + 30 + 8248 = -12232. What is the third smallest value in 0.1, o, -0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 1, -5, -4 in descending order.\nAnswer: 1, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(120) + sqrt(30))\/(sqrt(100)\/(sqrt(10)*2)) + (sqrt(12) - (sqrt(192) - (-2*sqrt(192) - sqrt(192))))\/((2*sqrt(48))\/sqrt(12)).\nAnswer: -35*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 5*o**2 - 4*o + 1. Let w be p(3). Suppose 2*q + 5*r - 2315 = -q, -q + 775 = r. Suppose w*s - q = -101. What are the prime factors of s?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o + 14. Let v be y(6). Let l be 4\/(-14) + v\/(-14). Solve 2*k + l*k = 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*2.63.\nAnswer: 5.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**2. Let d(a) be the second derivative of -7*a**3\/6 + a**2\/2 + 107*a. Determine d(u(i)).\nAnswer: -21*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 4*g - 8, f + 2*g - 18 = 6*f. Let x = f - -2. Which is bigger: x or -2\/23?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12220200201211 (base 3) to base 4\nAnswer: 23333121112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 410121*k**4 - 956955*k**3 + 729118*k**2 - 546860*k\/3 + 8\/3 = 0.\nAnswer: 2\/136707, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-480)\/(-54) - 28\/(-6 + 24\/108*45).\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2*(3 + sqrt(175))**2 + -2*sqrt(175) + -2).\nAnswer: -1850 - 350*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 11 = 35. List the prime factors of (j\/1)\/((-2)\/(-5)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 788476?\nAnswer: 2, 13, 59, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202212202120 - 101222?\nAnswer: 202212100121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 5*o = -5*l - 49, -l - 3*o - 7 = 0. Suppose 17*b + l*b = 0. Solve -1 = -4*v - a, 5*a + 0*a - 5 = b for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of o**2\/2 + 8*o - 1. Let y(w) = -w - 13. Let a be y(-7). What is the units digit of d(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c - 2. Let l be q(2). Let m be 161\/(-21) + (8\/(-6) - -1). Let p be (-2)\/m*16\/l. What is the nearest to 0 in 3\/4, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*l**3 + 109*l**2 - 109*l**2.\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1345453*s**3 + 1357569*s**2 wrt s?\nAnswer: 8072718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 723*s**6 + 9*s**4 - 67859*s**2?\nAnswer: 86760*s**3 + 216*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -5*a**2 + 32895840*a - 54106814465280 = 0.\nAnswer: 3289584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1895 and 229.\nAnswer: 2124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of 4\/3*n**3 - 1\/2*n**4 - 1\/60*n**5 + 0 + 2*n**2 + 0*n. Let f be q(-9). Calculate the greatest common factor of f and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125 - 7*s - 45 - 20*s - 120 + 406 - 116.\nAnswer: -27*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 16*b - 554. Calculate q(36).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -5, 43, -0.9, -4?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -6*k**3 + 60*k**2 - 3*k + 21. Give c(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1320066 + -7?\nAnswer: -1320075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (((-36)\/(-21))\/4)\/((-6)\/4)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 22 - 30 = -3*f - 3, 42*r = 2*f + 122 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*m = 0, -5*y + 3*m + 16 = 2*m. Suppose 7 - y = g. Solve 5*z - 37 = -g*f, 0 = 3*z - 2*f - 1 - 6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 28*g**2 - 26*g - 101. Determine w(29).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/15*q**3 - 2\/15*q**2 - 2\/15*q + 2\/15*q**4 + 0.\nAnswer: 2*q*(q - 1)*(q + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 24 (b) 4 (c) 2\/3609\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 r, and 1 y when three letters picked without replacement from aurggvy.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/16 and 17\/694256.\nAnswer: 694256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 77?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20185815?\nAnswer: 3, 5, 13, 61, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000060150844 rounded to 7 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, g: 1, z: 1, l: 1, d: 5}. What is prob of sequence zt?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22002?\nAnswer: 2, 3, 19, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.633 rounded to two dps?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -15*w**4 + 10*w**3 + 80*w**2 - 85*w - 5. Let y(o) = -17*o**4 + 11*o**3 + 80*o**2 - 86*o - 6. Let l(n) = 6*i(n) - 5*y(n). Let l(x) = 0. Calculate x.\nAnswer: -4, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 12. Let g = y - -14. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228 = -5*z - 268, -6*o + 12 = -2*o - 2*z for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04 - -0.96. Let d = o - 6. Suppose 0 = 3*i + 3*g + 1 - 13, 2*g = 2. Which is the closest to 1\/4? (a) 0.3 (b) d (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*u = v + 888, 4*u = 4*v - 1772. Suppose -5*y = 112 - v. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36741356*b + 36741269*b - 307 = -1960 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -375 + 1881?\nAnswer: 1505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = w + 31 - 11, 5*w + 32 = 3*k. Let x = -0.7 - 0.3. Which is the nearest to -1? (a) k (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26 and 14629856.\nAnswer: 190188128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6648546?\nAnswer: 2, 3, 1108091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -4*f - 16, 2*f = 2 - 0. Suppose -v = 5*s + 5, -3*s - z*v - 25 = -5*s. Suppose c - 4*c = s. Solve -16 = -c*k + 4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.025 + -2.975. What is the closest to -1 in 4, a, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -2*y - 2, 0*u - 3*u + 3 = -2*y for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 476545.\nAnswer: 5, 191, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 2080613000 to the nearest 1000000.\nAnswer: 2081000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 2*c + 3*c)*(-2 + 2 - 1) + (4 - 2 + 0)*(0 + 0 + 4*c) - 13*c + 37 - 37 - 6*c - 7 + 7.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(72) + 1)*1 + (sqrt(72) + -1)*-3 + -4 + -2)**2.\nAnswer: 120*sqrt(2) + 313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -8697*z + 43466. Give w(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*x = 217847, -s - x = -97821 - 11115. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 1153 = -9781. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137941 is divided by 870.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i. Let n be m(4). Let y be (n\/(-42))\/((-2)\/28). Suppose -900 = -x - y*x. What is the highest common factor of x and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -509328909.99999944 + 509328889. Let i = 4.3 + -25.3. Let z = c - i. What is z rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/27 - (5 + (-210)\/27). Suppose 2*b - 1 = -n - 3, c*b + 6 = -n. Solve s = n*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 11:29 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a factor of 1429085429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 18 in descending order.\nAnswer: 18, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/68 + 2\/(-17). Suppose -3*m = -b*m - 12. Which is bigger: 13\/4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -2\/5 (c) -227 (d) 0.5 (e) -11691\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9323555 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -545*d*h**3*q - 8*d*h**3 + 64*d*h**2 - 249668*d*q - 40735*d wrt q.\nAnswer: -545*d*h**3 - 249668*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94843 is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3355317602?\nAnswer: 2, 7, 13, 23, 801557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 4*3\/6) + 198. Suppose -4*v + 4*s = n, 0 = v + s + 45. Let l = 55 + v. Calculate the least common multiple of l and 78.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60169602 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 106 + -61. Let x = v + -19. Let g = 106 + x. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**5\/15 - 38*c**4\/15 + 842*c**3\/3 - 6034*c**2\/3 - 4208*c\/15 + 30208\/15 = 0?\nAnswer: -59, -1, 1, 8, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*i - 15 = -29*i. Suppose -i*b + 31 = 6. Let q be 4*b*4\/70. Which is smaller: q or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 divided by 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1776911612.\nAnswer: 2, 7, 63461129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 335983 * -0.0418.\nAnswer: -14044.0894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 134 - 133. What is the lowest common multiple of z and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11012002 (base 3) to base 9.\nAnswer: 4162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2389, 2384, 2379, 2374?\n\"Answer: -5*u + 2394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1162339, 1162337, 1162333, 1162327, 1162319, 1162309, 1162297?\n\"Answer: -u**2 + u + 1162339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 449592246 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2*f - 45. Let h**2 + 21 - 6 - f + 3*h = 0. What is h?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/(c**13\/c))\/c*c)**(2\/27)*c**(2\/13)\/((((c*c\/((c**(1\/2)*c)\/c*c)*c)\/c)\/c)\/c))**(-26) assuming c is positive.\nAnswer: c**(-641\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 796\/28 + (-9)\/21. Suppose 3*d - 61 = j, -q = -4*d + 5*j + 46. List the prime factors of d.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 + 5*l**2 + 7*l - 9*l + (-2*l + 5*l - l)*(7*l - l - 4*l).\nAnswer: 7*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z**3 + 22*z**2 - 132*z + 621. Calculate l(8).\nAnswer: -563","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -34?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z + 1. Let l(a) = a**2 + a + 1. Let d(b) = -l(b) + q(b). Let m(h) be the first derivative of -5*h**3\/3 + 5*h**2\/2 + h + 40. Give 4*d(g) - m(g).\nAnswer: g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2537336700 rounded to the nearest one million?\nAnswer: -2537000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 15\/4*y**4 - 8 - 50\/3*y**3 - 10*y + 45\/2*y**2. Suppose b(m) = 0. Calculate m.\nAnswer: 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -5*q**2 - 4*q - 6043. Let w(x) = 6*x - 6. Give w(h(d)).\nAnswer: -60*d - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.1, 8, 975, 2\/23, 1\/26.\nAnswer: -1, -0.1, 1\/26, 2\/23, 8, 975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 62 + 0 - (15321 - 15266)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 297 and 4059.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11960)\/276*((-27)\/45 + 1 + -1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 20841.83 weeks?\nAnswer: 145892.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, g: 5}. What is prob of picking 2 e?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -701.9273 - 0.0727. Let z = -714.88 - f. Let l = -13 - z. What is the closest to -1 in -0.4, l, 1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 312, 46, -2 in decreasing order.\nAnswer: 312, 46, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -79640 or -79642?\nAnswer: -79642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -48943 or -48942?\nAnswer: -48942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/4 and 99\/2246.\nAnswer: 4492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69937*p**5 - 3*p**2 - p - 2688?\nAnswer: -4196220*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 97 (b) -2\/11 (c) 4 (d) 987\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Suppose -i + 54 = 2*i. Calculate the remainder when i is divided by 2\/4 - 39\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 273771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 8*n + 3. Let b be (0\/(1*-3))\/1. Suppose -2*x + 18 = -2*w - 2, -x - 5*w - 2 = b. Is y(x) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 6:06 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -7, -97, 4, 3, 0.\nAnswer: -97, -7, -2, 0, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 219, 5, -0.1, -3 in increasing order.\nAnswer: -3, -0.1, 5, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-20)*(-10)\/3. Solve 3*m - 10 - 7 = -y*f, -4 = 4*m - 4*f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2128\/3)\/14*(-6)\/4.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11322010113 (base 4) to base 11.\nAnswer: 968509","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 11 = -1. Let s be 5 - (0\/v - -3). Suppose -184 = -3*o - s*a - 3*a, -4*a - 16 = 0. Is 17 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 129317, 129315, 129311, 129305, 129297?\n\"Answer: -d**2 + d + 129317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 12, 0 = 799*c - 804*c + 5*s + 25905. Is c a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -21967?\nAnswer: -21970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4403411 (base 7) to base 4.\nAnswer: 2003212301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-3) + -6 - 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 2*v - 1. Let s(i) = -i**3 + 34*i**2 - 33*i + 16. Let d(f) = -24*a(f) + 3*s(f). Factor d(x).\nAnswer: -3*(x - 24)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*c + 1314, 2*a + c - 1194 = 120. Suppose 5*s = -a - 1518. Let x = -244 - s. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -18. Let p = -7 - k. Let c(f) be the first derivative of -f**3\/3 + 7*f**2\/2 - 33. What is c(p)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211*x + 109*x + 28*x**2 + 102*x.\nAnswer: 28*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 5 + -5 - (-1 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 173805555 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 16*z. Let s(w) = -528*w + 209*w + 237*w. What is v(s(x))?\nAnswer: -6724*x**2 + 1312*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1776118*2.9.\nAnswer: -0.51507422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a week in seconds?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 3*a + 5*b, 1 = -4*a + 3*a + 5*b. Let o = 23 + a. Calculate the remainder when 32 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141847296.\nAnswer: 2, 3, 191, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(-2\/21)*r**(-3\/13)*r assuming r is positive.\nAnswer: r**(509\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-19 - -24 - (0 + 11 + 0) - 102).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 8*h**2 - 21*h - 4. Let t(d) = 2*d**2 - 5*d - 1. Calculate -2*c(a) + 9*t(a).\nAnswer: 2*a**2 - 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35332 and 146.\nAnswer: 35332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -3. Let s = -0.11 + 0.61. Let v = s - 1. Are v and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116433313 (base 7) in base 3?\nAnswer: -111212102112121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 5*j + 4. Let z be w(-3). Let r be 15\/26*78\/18. Let f = 4.4 - 4. Sort z, f, r, 0.3 in decreasing order.\nAnswer: r, f, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 285 divide 1024005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.47? (a) -2 (b) -2\/13 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/13*110487\/(-11332)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 6. Let b be -2 + 2 + (-6 - -4). Let n be (-1)\/2*(b + 2). What is the closest to r in n, 1\/3, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/7, -4, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 8*s + 17. Let q be 14\/((-3)\/(-24)*8). Let w(j) = -15 + 1 + 2*j**2 + q. What is w(u(d))?\nAnswer: 128*d**2 + 544*d + 578","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -3, 29.62?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of j**3\/3 + 3*j**2\/2 - j + 60. Let h be t(1). Solve -7*k = -h*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -19. Let d = y - 8.9999944. Round d to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**2 - 3*v - 2. Let w be l(-1). Let z(n) = n**2 + n - 3. Let o be z(0). Let t be (-2)\/o - (-17)\/(-39). Is t at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -9*p**2 - 7*p + 7. Let o(a) = 5*a**2 + 4*a - 4. Let t = 15 + -9. Let i = t - 2. Let m(q) = i*s(q) + 7*o(q). Let v(l) = -l**2. What is m(v(k))?\nAnswer: -k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (54\/4 + 1)*-6. Let o be (-36)\/(-12) + 14\/2. Find the common denominator of -12 + o + i\/2 and -95\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1312.00971 rounded to 0 dps?\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -1\/3, -11\/6, 17\/2, -2\/13?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*m - 2 - 5 + 13 wrt m.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z - 64. Let t(m) = 21*m**2. Give w(t(x)).\nAnswer: -42*x**2 - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 600673545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1322442 - -13230?\nAnswer: -1304212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x + 11. Calculate j(4).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 21*t - 280, 3*c - 12*c = -7*c - 3*t + 40 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**8\/672 + m**7\/168 + m**6\/240 - m**5\/60 - m**4\/24 - m**3\/24 - 12*m**2. Factor s(j).\nAnswer: (j - 1)*(j + 1)**3*(2*j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 16*o - 50. Calculate x(-18).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, i: 2}. Give prob of sequence eiei.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -9.61\nAnswer: -4.805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 132 = -22*b - 0*k + k + k, 0 = -4*b - 3*b - 4*k + 42 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**3 + 5*t**2 + 14*t + 2. Let m be w(-6). What is the third derivative of -m*z**2 + 4 - 536*z**2 + 19*z**3 + 1074*z**2 wrt z?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 - -15582.\nAnswer: 15588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(13) + sqrt(1053) + -1*sqrt(1053))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 1 - 3)*(-4*m**2 - 2*m**2 + 4*m**2) + 65 - 80*m**2 - 65 + (0 + 1 - 2)*(-4*m**2 + 0*m**2 + 2*m**2) to the form y*m**2 + v*m + j and give y.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 9*j - 18. Let l be k(-10). Let z be (-22)\/l - (10\/5 - -1). Put 2\/7, z, 1\/5 in ascending order.\nAnswer: z, 1\/5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2 - 5*g - 8*g + 5*g - 6 - 6*g. Let p = -37 - -28. Let j(d) = d**2 + 10*d + 4. Let z be j(p). Let y(m) = m**2 + 9*m + 4. Give z*k(q) - 8*y(q).\nAnswer: 2*q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*j)*(3 - 1 + 0) + 3*j - 3*j + j + 12*j - 32*j + 15*j + 14 - 6*j - 14.\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 - 28*l + 28. What is g(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1, -0.5, -35, -0.4, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(22\/7)\/z))**(-2\/15)\/(z\/((z\/(z**(5\/6)\/z))\/z))**24 assuming z is positive.\nAnswer: z**(-2084\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1171\/(-391) - -2) + (-73 - -74). Which is the third biggest value? (a) 5 (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 9:36 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 1. Suppose -3*m + 0*c - c + 6 = 0, -4*c = 0. Suppose 5*w - 3 = m. Put 3, z, w in increasing order.\nAnswer: z, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 19*u + 2. Solve -6 - 2 = u*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17598.\nAnswer: 2, 3, 7, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 0 - (71269\/456)\/(-31)\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from orpopoprpopoo. Give prob of sequence po.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q + 4*z = -15*q + 17, 0 = -5*z + 10 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j + 19503 - 19503.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5018 - -1713. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*b**4 - 45*b**4 - 50*b**4)*(-3*b - 3*b + 7*b) + (-b**3 - 2*b**3 + 6*b**3)*(b**2 + b**2 - 5*b**2).\nAnswer: -77*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 163, -43, 3, -532.\nAnswer: -532, -43, 3, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (1 + 2 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v - 5*n = 22*v - 7, -5*n - 9 = -v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -1 + sqrt(5) + sqrt(5) - (-1 + sqrt(405))) + 0)**2 + -3.\nAnswer: -42*sqrt(5) + 251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000046005 rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + j. Let c(v) = -4*v**3 - 5*v**2 + 1. Let l(z) = -c(z) + 3*d(z). Let t be -1*(3 + 2) - -1. Let q be l(t). Solve -g = q*g + 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 283 = -2*z, -5*z - 5*d + 354 = -341. What is the greatest common divisor of z and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17477, 15686, 12617, 8276, 2669, -4198, -12319, -21688?\nAnswer: -32299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1485079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.97 + -0.03. Let o = x + 6.5. Suppose u = -u. Put o, u, 0.4 in ascending order.\nAnswer: u, 0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27400734 - 27400734 + 1030*j.\nAnswer: 1030*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1041787504*l + 40050581 with respect to l.\nAnswer: -1041787504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/24 and 194\/(-60)*(-40)\/(-120).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4080 divided by -816.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3885*k**2 - 3*k - 15122?\nAnswer: -7770*k - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*j - 50 = 0, -4*m + 5*j + 0*j - 53 = 0. Let f be 0 + 1 + m\/16. Put f, -5, -3 in descending order.\nAnswer: f, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-70)*5\/2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -164*h*s**5 + h*s**4 + h*s**2 + 163*h + s**3 - 11 wrt s.\nAnswer: -9840*h*s**2 + 24*h*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 2*x - 5, 4*x + 50333*f = 50338*f - 45 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/7, 4.68, -4, 1, 3\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 7*r**2 + 4*r + 8. Let s be k(-6). What is the remainder when 47 is divided by ((-16)\/s)\/((-1)\/30)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/10 + 12\/10)\/(117\/325). Determine q so that -1 - f*q**2 - 7\/3*q - 1\/3*q**3 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -123, -123, 69, 549, 1413, 2757?\n\"Answer: 16*q**3 - 112*q - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -5\/112*p**8 + 0*p**7 + 0*p**4 + 9*p**2 - 1\/60*p**5 + 0*p**3 + 0 + 0*p**6 + 0*p. What is the third derivative of j(u) wrt u?\nAnswer: -900*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46589.05nm in millimeters?\nAnswer: 0.04658905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5\/3, 4, -5, -3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2*s + 28 = 0. Let r be 37\/s - (-33)\/(-44). Let b = 360 - r. What is b rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 2:41 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15260 + 15259.99930976. Round f to 5 dps.\nAnswer: -0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q**2 + 2*q**2 - q**2. Let t(f) be the third derivative of -f**5\/120 - 5*f**3\/6 + 3*f**2. Let d(j) be the first derivative of t(j). Give c(d(i)).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2629718551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/80*10)\/(14\/4)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2569 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1036800706.\nAnswer: 2, 149, 229, 15193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000342586 rounded to 7 dps?\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2054167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1557)\/692*16\/6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -16. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -344, 0, -167 in descending order.\nAnswer: 0, -5, -167, -344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - -11. Suppose 3*y = 3, j - 2*y = -4*j + 133. Let n = j - 21. Solve n*k - r = 2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 2*q - 59. Let w(p) be the first derivative of p**2\/2 + 5*p + 3. Determine 4*j(u) - 2*w(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/3*(2 - -11)*-3. Let q(c) = -c**3 + 2*c**3 + r*c + 16*c**2 - 11 - 14 + 12*c. Is q(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 149.6 + 4.4. Let r = t - 158. Sort -9, r, 0.5 in increasing order.\nAnswer: -9, r, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 5*k**2 - 5. Suppose -2*v - 4 = -4*v - 3*n, 2*v - 5*n - 20 = 0. Let l be g(v). What is the second smallest value in -0.3, l, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q. Let a(d) = 42*d**2 - 119*d - 119. Let h(t) = t**2 - 3*t - 3. Let w(k) = -6*a(k) + 238*h(k). Calculate w(c(u)).\nAnswer: -224*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5288, 5158, 4946, 4646, 4252?\n\"Answer: -v**3 - 35*v**2 - 18*v + 5342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-65)\/(-10) + -6)*(60\/(-18) - 588\/18).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3003 (base 7) in base 12?\nAnswer: -720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u**2 - u**3 + 3*u**2 + 3*u**2.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -1.3. Let l = 51 + -50.67. Let i = l - 0.13. Sort i, -7, m in ascending order.\nAnswer: -7, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -38*h - 5. Let r be b(-6). Let o be 2\/15*r\/2. Let a = -713\/30 + o. Find the common denominator of -79\/16 and a.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 1 + -1 - (-3 - -9).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -504, -4, 2, 1 in decreasing order.\nAnswer: 2, 1, -4, -504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*8.04\nAnswer: 0.804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 4 = -5*t. Calculate the remainder when 12 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -231 divided by 4.\nAnswer: -231\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.125858 rounded to one decimal place?\nAnswer: -24.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-40)\/w)**(9\/11) assuming w is positive.\nAnswer: w**(-369\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * -33497.\nAnswer: -20098.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o + 13. Let k be d(-18). Calculate the greatest common divisor of 70 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 826205497.\nAnswer: 13, 59, 1077191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*-2*(-6)\/(-8)*16\/18?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.3 (b) -242697 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 6*m + 23 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - 10310?\nAnswer: -10231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3 + 0 - 2*m + 4 + 1 - 4. What is the lowest common multiple of x(-5) and ((-52)\/10)\/(3\/(-15))?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 129*y**2 + 2*y + 2. Suppose w - 19 = 3*w - 5*z, -3*w = z - 14. Is t(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 38*q - 2775 = 33*q + 735 for q.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 24 - 2 - -4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14129 + -14141.973. Let v = 13 + p. Round v to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -3. Let l(g) = -g**3 + 8*g**2 - 3*g + 12. What is the remainder when l(s) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 16 - (-8 - (0 - 3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z**3 + 5*z**3 + 2*z**3)*(-5*z**2 + z - z).\nAnswer: -5*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 18*a - 10*a + 2 in the form p + o*a and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6597 by 2199.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -24. Let m be 8\/32 + (-1)\/u. Put 5, -0.4, m, 0.1 in increasing order.\nAnswer: -0.4, m, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1399156?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.27645214 - -9?\nAnswer: 9.27645214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -85 - 164. Let u = 248.99999774 + y. Round u to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 7*x**2 - 2*x + 46. Let n(c) = 6*c**2 - 2*c + 45. Give 6*n(w) - 5*v(w).\nAnswer: w**2 - 2*w + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, l: 2}. What is prob of sequence yl?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9152 and 1001?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*t**5 - 4*t**2 - 69*t - 3 wrt t?\nAnswer: -100*t**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 249 - 246 - 15*b + b**2 - 11*b + 31*b. Give u(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from qkabkbdaaqqqaq.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m + 10. Let x be c(6). Let g = 3 + x. Let p be (-2)\/(-3)*(g + -1). Put p, -3, -1 in descending order.\nAnswer: -1, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3714, -3740, -3802, -3906, -4058, -4264?\nAnswer: -4530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 456755 is divided by 152207?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222879006.\nAnswer: 2, 3, 7, 19, 31033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 930548 and 13511.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one tenth of a minute?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98 by -1381.\nAnswer: 98\/1381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*g**2 + 18*g**2 - 17*g**2 - 3*g)*((2 - 2 + 3)*(20*g + 21 - 21) + 2*g - 4*g + 4*g) to a*g**3 + d + y*g**2 + m*g and give a.\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*l - 15074 = -34169 + 9226 for l.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.28 - 51695\nAnswer: -51694.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 19978 = 2*k, a = 4*a - 5*k - 29975. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tuvvutvutuutuv. What is prob of sequence tvu?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19801927?\nAnswer: 3389, 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.987 - -0.027. Let j = a - -1.7. Round j to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6901, 13797, 20697, 27601?\nAnswer: 34509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 856397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**2 - 9384439*b**4 + 9380306*b**4 + 8*b**2 - 59 wrt b.\nAnswer: -99192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**2 - 2*z**2 - 2*z**3 + (-7*z + 3*z - z)*(-5*z + 0*z + 2*z)*(2 + z - 2) to q*z**3 + s*z + j + x*z**2 and give q.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**2 + g**3 + 3*g**3 + 3*g**2 - 17 - 3*g**3 - g. Let t be n(-7). Let k be (6\/((-12)\/t))\/(3\/4). Which is smaller: k or 8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v + 7*v + 91 = 0 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.49 + -0.01. Let p = -3 - -3.3. What is the smallest value in u, -3\/8, p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8864407 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 16063471 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14876 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 883374?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 6 = 5*g. Let d be ((-9)\/g)\/((-1)\/12). Let u(l) = -l**3 + 4*l**2 + 3*l. Let k be u(4). What is the highest common factor of k and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 40*o + 1154. Determine q(-40).\nAnswer: -446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -325336408, -325336409, -325336410, -325336411, -325336412?\nAnswer: -325336413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 1:06 PM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*c + 1862 = -104*c. Suppose -55 = -t + 2*n, -4*t - 93 + 263 = 2*n. Calculate the remainder when c is divided by t.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 3, 5*l = -2*i - 0*i + 5. Let b be ((-6)\/8)\/(1\/(-4)). Suppose i*w - b*w + 24 = 0. What is the remainder when 22 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1314624 and 1231792?\nAnswer: 2672","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 11 = 13. Suppose j - 4*v - 18 = 0, -5*v + 18 - f = 0. Let k = j + -30. Solve -o - 23 = -5*a, k = -3*o - 5*a + 40 - 9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 749277793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/404560 and 19\/46680?\nAnswer: 1213680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -75*a**3 + 75*a**3 - 12*a**4 + (38*a**3 + 1166*a - 1166*a)*(-4*a + a + 5*a).\nAnswer: 64*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 13*p - 103320000 = 0. What is p rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -8. Let p be ((-10)\/4)\/(1\/(-2)). Which is the smallest value? (a) g (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bo when two letters picked without replacement from bnoo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -7, -1, 9, 23, 41, 63?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 8*x. Suppose 0 = -2*b - b + d + 212, 2*d - 2 = x. Find the second derivative of 20*j + b*j**2 - 7*j - 77*j**2 wrt j.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + 14. Let u(k) = k**3 + 3*k**2 - 5*k. Let g be u(-4). Suppose -5 = g*n - o. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-201)\/(-21) - 8\/14. Suppose 0 = 3*o - a + 302, -g*o - a - 298 = -6*o. Let t be (-5*15\/o)\/3. What is the biggest value in 2, 2\/3, t, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1079993239?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92307200, 92307193, 92307184, 92307173, 92307160, 92307145?\nAnswer: 92307128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*v**5 + 3*v**5 + 17*v**2 + 0*v**5 wrt v?\nAnswer: -240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/45 of a week?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w + 2. Let u(n) be the third derivative of n**7\/2520 + n**5\/15 + n**4\/4 + 27*n**2 + 1. Let b(j) be the third derivative of u(j). Give g(b(m)).\nAnswer: -4*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107533208?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 t when four letters picked without replacement from {v: 2, p: 4, t: 8}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-90)\/(-8) + 7\/(-28). Let s = -8 + y. Is s even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -53\nAnswer: 7\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (sqrt(5) - -2*sqrt(5)))**2 + 3 + 4 + (sqrt(5)*5)**2 + 4.\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1179308 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 16256.364 months?\nAnswer: 135.4697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaasaasssaassssaas. What is prob of sequence ssa?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65 + -55. What is the highest common divisor of 20 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 5*s + o - 3*o, -5*s - o = -58. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cygggpgyggyygggyyyyp. Give prob of picking 2 y.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 382*r = -0*j + 383*r - 27, -r - 57 = -5*j for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v - 3*v + 0*v**2 - v**2. Let g be 4\/14 - (-52)\/14. Suppose g*u + 3*s = s - 28, -s = u + 9. What is i(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 - 57*t + 401. Let z be o(12). Solve -2*m + 2 = -z*x + 3*x, 4*m = 2*x + 10 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 0) + 668 + -3. Suppose -2*y + b = -5*y + 2*l, -4*y = -2*l + 888. Does 8 divide (-2)\/9 - y\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 8*i**3 + 18*i**2 - 2*i + 13. Let j(y) = -7*y**3 - 16*y**2 + 2*y - 12. Let k(u) = -7*j(u) - 6*z(u). Calculate k(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/36*2\/(-5) - 1922878\/117090?\nAnswer: -81\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q**2 - 12*q + 40. Let r be c(4). Suppose -8*h = -3*h - 2*a - 176, r = 2*h + 4*a. What is the greatest common factor of 85 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212122310123 (base 4) to base 14.\nAnswer: -14a2443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 54244087527?\nAnswer: 54244087504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -19*(-4)\/((-64)\/(-20))*(-1 + (-203)\/(-145))\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -130 + 46?\nAnswer: -d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 15 * -24\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 187 + -185. Suppose o*n + 5*w = -1, 2*n + 2*w = -2*n + 6. Let l(c) = -c**3 - c + 8. What is the smallest common multiple of n and l(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.3, -19, -0.8, 12\/197, 0.9 in ascending order.\nAnswer: -19, -0.8, 12\/197, 0.3, 0.9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*n**3\/8 + 27*n**2\/8 - 51*n\/8 + 9\/8 = 0. Calculate n.\nAnswer: -3, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 165 and 550.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 269305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of u**3\/3 - 3*u**2 - 2*u. Let m(y) = -y**3 - 24*y**2 + 5. What is the remainder when m(-24) is divided by n(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 7*z**3 + 9*z - 23. Let p(q) = 2*q**3 + 2*q - 6. Let d(t) = -2*m(t) + 9*p(t). Find the first derivative of d(o) wrt o.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 + 1 - 1)*(4 + 2 - 4) + 5*l**2 + 0*l**2 - l**2.\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -258*x**2 + 2*x + 1642. Let o(i) = -4*i. Give o(b(w)).\nAnswer: 2064*w - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 337 divide 332374338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 8*m + 27. What is the remainder when 113 is divided by g(6)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s + 137*s - 20*s to the form k*s + i and give k.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239 + 7351 = 330*x for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2dd53 (base 14) in base 12?\nAnswer: 56759","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*j = 96*j + 231*j - 108 - 1262 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/3*(6 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*m**4*v + 1990*m**4 - 17*m**3*v*x + 2*m**2*v*x - 590*m**2 + m*v*x + 2*v*x - 4*x wrt m.\nAnswer: 96*m*v + 47760*m - 102*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 36*c**3 - 7*c + 34. Let z(y) = 18*y**3 - 3*y + 17. Let o(p) = 6*r(p) - 14*z(p). Find the first derivative of o(m) wrt m.\nAnswer: -108*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/12298 and 65\/8.\nAnswer: 49192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 11*i**2 + 13*i - 10. Let w be g(12). Suppose -3*v + w = -4*v. Let o = -36\/179 + -285\/1253. Put 3, v, o in increasing order.\nAnswer: v, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 328 and 504?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/3? (a) 776 (b) -3\/2 (c) -1 (d) -27\/50\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) - (sqrt(108) + 2*sqrt(108)))*-6)\/(sqrt(12)\/sqrt(2)*1).\nAnswer: 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {y: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**3 + 41*z**2 + 47*z - 123. Give y(-19).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.96 times -5024?\nAnswer: 276119.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - 3*112\/63. Let y(h) = -h + 8. Let d be y(6). Suppose -2*p + d = -2*r - 4, -3 = 3*r - p. Do r and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2 = 4. Let v(a) = a**2 - 2*a. Let f be v(o). Suppose -5*m + 4*g + 18 + 7 = f, -5*m - 2*g + 55 = 0. Solve -2*q = q + m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -2\/5202856555?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2804\/(-6)*(-18)\/12 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3206 divided by -1?\nAnswer: -3206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/(-9) - 8\/36. Let x(o) = -o**3 - 1. Let u be x(s). Which is smaller: 2\/3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 8*w - 6. Determine o(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 k when two letters picked without replacement from bkbqkbo?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/15 and 27\/895.\nAnswer: 2685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(0 + sqrt(162) - sqrt(162)) + sqrt(162) + ((sqrt(162)*1 - sqrt(162))*2 - sqrt(162)))*5)**2 + -5 + ((sqrt(120)\/sqrt(2))\/sqrt(6))\/sqrt(5) + -4.\nAnswer: -9 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-244)\/(-671) + 3060\/(-187)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 8*x**2 - 33*x + 3. Let w be z(-3). Solve -4*j = 4*a, -4*j - 9 = w*a - 7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1222843 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -276547.758 - -276282. Let u = o + 266. Let l = 0.2419891 - u. Round l to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/8 + (-102)\/(-60)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of v**4\/4 - 2*v**3 + 3*v**2\/2 + 12*v + 23. Let w be (-24)\/(-60) - 23\/(-5). Calculate m(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, j: 1, k: 1, l: 3}. Give prob of sequence jx.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 30*o + 26*o + 10, 0 = -2*k - 5*o + 14. Let y(t) = t**2 - 2*t. Let i(w) = 3*w + 5*w - 3*w - 3*w - 2*w**2. Determine k*y(p) - 2*i(p).\nAnswer: p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.47 times 0.13\nAnswer: 0.0611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -712053\/4 or -178013?\nAnswer: -712053\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2877018?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1449)\/77 - -10) + 9. What is the fourth smallest value in a, -3, -7\/2, -2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(128)*1*-5 + (sqrt(128) - (sqrt(128) + 3 + sqrt(128) + sqrt(128)) - sqrt(128)) + -4)**2.\nAnswer: 896*sqrt(2) + 8238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -138.995 and -69.\nAnswer: 9590.655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4564, -9115, -13666?\nAnswer: -18217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -106\/7? (a) 3 (b) 2\/13 (c) 14\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3*f = 15057, 8*f = 5*b + 4*f - 25140. What are the prime factors of b?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -340216 rounded to the nearest 100?\nAnswer: -340200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 5*a - 45, -2*p + 12 = 3*a - 0*a for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1967, -5, 0.03, -3 in decreasing order.\nAnswer: 1967, 0.03, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**2 - 15*r - 2. What is the least common multiple of 7 and m(6)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 133 - 23)*((-2*t**3 + 0*t**3 - 2*t**3)*(-4 + 4 + 2) - 2*t**3 + 3*t**3 - 3*t**2 + 5*t**2).\nAnswer: -728*t**3 + 208*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 - 47. Let i(o) = o + 1. Let f(h) = -2*h + 12. Let y(s) = f(s) + 3*i(s). Let a be y(j). Solve -2*t = a + 2 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*q = -22*q - 1036. Solve -2*y = -16*y - q for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 355996?\nAnswer: 3\/355996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 7*g - 3. Let m be b(7). Let t(r) = -1 - r**2 + 0 + 2*r**2. Does 7 divide t(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29997060?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -422 by 4.\nAnswer: -211\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 11*m**3 - 3*m**2 + 39*m + 77. Determine t(-2).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 4\/11, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 2692 - 2662 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6860 and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 10*r**2 - 2*r + 101. Let h be s(-11). Solve 7 = -5*v + i - 7, 5*i - 1 = h*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*n**2 + 3*n**2 + 2*n**2)*(2353*n - 5330*n + 1098*n + (-n + 6*n - 3*n)*(-1 - 3 + 3)).\nAnswer: 3762*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 + 53. Suppose 5*g - 50 = -5*u, 0 = -6*u + 2*u + 2*g + 22. Which is smaller: u or m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 870*x**2 - 465*x**2 - 398*x**2.\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -66*v**2 + 1 + 15*v**2 + v**2 + 0*v**2 as b*v**2 + f + t*v and give b.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f - 25702. Let d(y) = -180*y + 1. Determine t(d(j)).\nAnswer: -720*j - 25698","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*s + 27*s = 0. Suppose s = -a + 1345 - 280. What are the prime factors of a?\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f + f - 9*f - 2*f.\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -1 (b) -0.5 (c) -5 (d) -10144.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 + 0*d**2 + d**2 + 21 - 21 + 19*d**2 + (-4*d**2 + 3*d**2 - d**2)*(6 - 3 - 2) - 7*d**2 + 3*d**2 - 2*d**2)*(-3*d**3 + 0*d**3 + 2*d**3).\nAnswer: -9*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -109, 4, -2 in decreasing order.\nAnswer: 4, 2, -2, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*d + r = -1201, 0 = 2*d - 2*r - 790. Calculate the greatest common factor of d and 1271.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23 - 23 + 5*z)*(-5*z**2 + 107 - 107) to n*z**3 + o*z**2 + v*z + q and give n.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2. Let m(x) = 94132*x. Give y(m(j)).\nAnswer: -8860833424*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-180)\/(-25) - (-1)\/2*2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -2*m - 26. Let y = -23 - m. What is the lowest common multiple of 20 and y?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1010 - -1712. What is the lowest common multiple of v and 16?\nAnswer: 5616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/289038015 and 83\/34545.\nAnswer: 289038015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 565, 12933.\nAnswer: -22, 565, 12933","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008796 rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 - 15*o + 874.\nAnswer: -(o - 23)*(o + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l**2 - 13 - l**3 + 10*l + 6*l**2 - 3*l**2. Let i be x(9). Let p(t) = t**2 - t. Let d(z) = 3*z**2 - 6*z. Let c(a) = -d(a) + 4*p(a). Calculate c(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -3, 1, -6, 8, 11, 6 in decreasing order.\nAnswer: 11, 8, 6, 1, -3, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*v**3 + 22*v**3 - 42*v**3.\nAnswer: -156*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 6*a**3 + 13*a - 18. Let u(d) = d**3 + 2*d - 3. Give 6*q(p) - 39*u(p).\nAnswer: -3*p**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 3*q - 25 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 8*m - 188. Give s(23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -50793, -50806, -50823, -50844, -50869?\n\"Answer: -2*o**2 - 7*o - 50784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1805989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 82 = -2*c, 5*c - 2193 - 352 = -70*i for i.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhb when three letters picked without replacement from sbxxsthtsbhht?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, -2, -49, -15\/2201?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 303265892 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 40*n. Suppose n = -u + 3*j + 18, 7*u - 5*j = 2*u + 50. Suppose -b - 13 = -55. What is the greatest common divisor of u and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13*88\/(-104)*79\/(-79)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4608 - 4380 - 4603 - 4611 + 18202 - 5*x.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -11*j. Let d(r) = -7*r**2. What is d(m(u))?\nAnswer: -847*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (1 - (-55)\/(-45)) + 1642\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 208622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 5*u - 10. Let m(z) = 51320*z - 102646*z + 51327*z. Determine -a(k) - 5*m(k).\nAnswer: -k**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 n, and 1 v when three letters picked without replacement from {q: 3, n: 1, z: 1, p: 4, v: 1, u: 4}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**2 - 92*x + 6584. Calculate n(-82).\nAnswer: 680","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-8))\/(1 + 122\/(-120)). Let n be 5*((-6)\/w + 4\/15). Suppose 0*f + 6 = n*f. Which is bigger: 6 or f?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/623?\nAnswer: -2\/623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -0.107.\nAnswer: 0.107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 5*c + 9*c = 22, 14 = -4*d + 5*c for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 57294.99 milliseconds?\nAnswer: 0.9549165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -561 - -555 - (-2 - (-24 + 2))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 140 (base 15) to base 14\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**2. Let m(i) = -24*i**2. Give d(m(w)).\nAnswer: -1728*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + (-1 + sqrt(5)*-2 - sqrt(5)))**2 + 4.\nAnswer: -36*sqrt(5) + 151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10200 and 127800?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 62050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -9*g + 12. Does 36 divide -2*((-306)\/g - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140 and 8870?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 4*i - 5. Give o(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02612 - 17.33012. Let f = 0.204 + h. Round f to 0 dps.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4*3\/(-21)*-6?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 36*t**2 + 49*t - 10. Let l(z) = 40*z. Calculate v(l(w)).\nAnswer: 57600*w**2 + 1960*w - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12870883*c - 6435444*c - 2 - 6435439*c + 2 + 5*c**2.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3311 = 1575. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28560*s + 5 = -28555*s - z, 4*z - 30 = -5*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3444410 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 91, 98?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 36 = -0*k - 5*b, 4 = 2*k + 3*b for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 12*x**2 - 12*x - 11. Let h be w(-11). Suppose h = -2*j + 7 + 3. Suppose -5*q**4 + 3*q**4 + q + 4*q**3 - j*q + 2*q**2 = 0. What is q?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3718*t**3*y**3 - 98*t**2*y**3 + 131*y**3 wrt t?\nAnswer: 22308*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-two fifths of a millennium?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27375 - -27378. Let b(h) be the second derivative of 1\/6*h**x + 0 - 9*h - 1\/2*h**2. Let z(j) = -2*j**3 - 7*j + 6. What is -14*b(g) - 2*z(g)?\nAnswer: 4*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10273, 39828, 89087, 158050, 246717?\nAnswer: 355088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {k: 4, n: 12, w: 4}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**4\/24 + 8*f**3\/3 + f**2 - 14*f. Suppose -2*x + 15 = 1. Calculate the least common multiple of 9 and y(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -378 + 380. Suppose -35 = i - 2*i - b*v, 0 = v + 5. Calculate the remainder when 355 is divided by i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 u when three letters picked without replacement from {z: 4, y: 3, o: 7, p: 1, u: 2}?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 107007763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -62.8 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 305 + -96. Let p(u) = 6 - 5*u - 2 + u**2 + 3*u + 4*u. Let w be p(3). What is the greatest common divisor of w and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133084 * -0.1\nAnswer: 13308.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17893905?\nAnswer: 3, 5, 1192927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 <= 360?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361*c + 8424 = 1414*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/99*(1 - 0). Let w = r - -493\/198. Factor -1 - w*h**3 + h**2 + 5\/2*h.\nAnswer: -(h - 1)*(h + 1)*(5*h - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2903 is divided by 2871?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.325112 to two dps.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**3*w)**(34\/5)*w**(-2\/5)*(w*(((w\/(w**(-1\/4)\/w))\/w)\/w)\/w)\/w)**(-4))**(-3\/13) assuming w is positive.\nAnswer: w**(1971\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/48)\/((-1)\/(-2)). Factor -v*o**2 + 0*o + 1\/2.\nAnswer: -(o - 1)*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j = 169306 + 253387. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -763*-594\nAnswer: 453222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 450 + -184. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-130)\/39*1\/4*6. Calculate the smallest common multiple of (i\/3)\/(-5*(-12)\/(-1080)) and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(704)*-5 + -4)**2.\nAnswer: 640*sqrt(11) + 70416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(170)\/(sqrt(10)*-5) + sqrt(17))*-4)**2 + (-4*sqrt(85) + sqrt(85) + sqrt(85))\/sqrt(5)*-2) + -2.\nAnswer: 12*sqrt(17) + 13006\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.28677 millennia to centuries.\nAnswer: 622.8677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.02958 * -21.222\nAnswer: 0.62774676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -426 - -443. Calculate the common denominator of -61\/18 and (-10458)\/1620 + r\/5 + -3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50762 and 40970?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.464? (a) -2\/11 (b) -0.3 (c) -1\/7 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a microgram in nanograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 297 and 203994?\nAnswer: 6731802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 15 - (2 - ((-15)\/5 - -6)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 32*b**2 + 12*b + 113. Calculate the remainder when g(-18) is divided by 153.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000990334371 rounded to seven decimal places?\nAnswer: 0.0000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/4*-1*68832\/(-4780).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/205 and -44\/9.\nAnswer: 1845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 83*v - 26 - 35*v - 43*v to l*v + i and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(38) + sqrt(38))*-1)\/(sqrt(2)*-2*-5).\nAnswer: -sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 3:21 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14, -7, -2, -5, -22?\n\"Answer: -i**3 + 5*i**2 - i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 489?\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**5\/9 + 104*c**4\/9 + 364*c**3\/9 + 88*c**2\/3 = 0.\nAnswer: -22, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + s = -17, 5*f = -0*s - 3*s - 16 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 306, 303, 300, 297?\n\"Answer: -3*h + 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -4 (b) 2\/719 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 925 (b) -5 (c) 3\/10 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oiofiioooioioifioo. Give prob of picking 1 i, 1 o, and 1 f.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10403 - 1020?\nAnswer: -11423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9033*k - 8242*k + 100457 = 0 for k.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -f**4\/12 + 19*f**2 - 1. Let w(r) = -7*r. Determine l(w(c)).\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-77 + (-32518)\/(-497))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3133031 - 10?\nAnswer: 3133021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58323662 and 202.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 >= -3515601?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3531 and 2016597?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -115*u + 116*u + 5*n - 3, -4*u + 3*n + 8*n + 27 = 5*u + 5*n for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 3*o + 3*p - 32, 5*o - 5*p = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 2*h + 3*h - 14, b + 2*h + 14 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -2\/97193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13220 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: Let t(q) be the third derivative of q**5\/60 - 19*q**4\/24 + 65*q**3\/6 - 21*q**2 - 3. Give t(12).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4474148 and -4474148 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((28 + 12306\/(-84))\/(1\/2))\/(-2 - 1)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 83*a - 45*a - 51*a - 6 in the form v + s*a and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q + 453 - 256 + 364 = 0 for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7982 + 7?\nAnswer: -7976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5560278?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -53208.49 < -11\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1930)\/12)\/5 - 2. Let h = u - -34. What is the closest to -3 in 0.2, h, -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7103.61 days to milliseconds.\nAnswer: 613751904000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tbt when three letters picked without replacement from {t: 8, b: 2}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -15. Let n be 1\/(-4) - (-26)\/a. Suppose -2*q + 28 = -q - 4*v, 0 = n*q + v - 32. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o**2. Let s(g) = g. Let x(f) be the third derivative of -f**4\/4 - 3*f**2. Let u(w) = 16*s(w) + 3*x(w). Determine r(u(k)).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 719972814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, 3, 215.8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17\/41 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/160)\/(1\/30)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 3:35 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -350920 < 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111111100101010 (base 2) in base 3?\nAnswer: -11222112222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**3 - 29*c + 30*c - 6*c**2 + 11*c**2 + 0*c**4 + 1 + c**4 as y*c**2 + t*c**3 + f*c + v*c**4 + m and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*449.\nAnswer: -898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-108*y**2 - 9*y**2 + 11*y**2)*(3*y + 3*y - 8*y) - 1 - 2*y**3 + 1 to the form k + m*y**3 + w*y + n*y**2 and give m.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*k + 3*y, y + 0 = 2*k + 11. Let a be (-1398 + -2)*(k - -3 - 2749). Round a to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.0195888 milliseconds to hours.\nAnswer: 0.000001672108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1436 (base 7) to base 16\nAnswer: -236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of 0*l**3 + 0 + 0*l**6 + 0*l**2 + 0*l**5 - 5\/6*l**4 - 1\/21*l**7 - 2*l. Find the third derivative of m(b) wrt b.\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 13*d + 5. Let w = -14 - -18. Let v(c) = -71 + 34 + 35 + w*c. Let i(m) = 2*n(m) + 7*v(m). Factor i(k).\nAnswer: 2*(k - 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1231 + -1264. Let d be (-93)\/(-12) - 1\/(-4). Let o be 2\/4 - 276\/d. Is o smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 4*m**2 + m - 6. Give f(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -425*q. Let v be l(-1). Suppose 0 = -6*b + b + v. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w - 1\/2*w**3 + 0 + 1\/2*w**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 + 1872556*s.\nAnswer: -s*(s - 1872556)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 53*p**4\/2 - p**3\/3 + 3*p**2. Let o be r(-2). Let m = 784 + o. Round m to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -5, 63, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 55\/65784 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 43 = 43. Suppose n = -2*d - 5*p + p + 4, 0 = -4*d - 5*p + 8. Let f be 1\/(-5) - (-22)\/10. Solve 5 = 5*b + d*j - 0, f = 2*b + 2*j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19\/2 + -9. What is the closest to -54 in 2, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 83, -1 in increasing order.\nAnswer: -5, -1, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 1:25 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 144 or 1878\/13?\nAnswer: 1878\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 6*l**2. Suppose 2*a - 1 + 12 = 5*r, -2*r - 5*a = 13. Let y = 33 + -28. Suppose -4 = y*t + r. Give o(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -3*n**2 + n + 16. Let w = -61 - -64. Suppose -3*x - w*x = 12. Calculate r(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w + 15. Let v(n) = n + 5. Let u(g) = 6*d(g) - 17*v(g). Let l = 23 + -26. What are the prime factors of u(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -2\/7, -37\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -30, 1\/4, -1\/3, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -78*j + 3 - j**4 + 78*j + 4*j**3 as q*j**3 + l*j**4 + p + t*j**2 + f*j and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 14*j + 19*j - 19*j - 16. Is 9 a factor of f(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + (sqrt(175) + 0)**2) - -2*(0 + sqrt(175)*1).\nAnswer: 10*sqrt(7) + 170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*l = 122*l + 30 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aaaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 5, 398, -6\/23, 5\/6, 3, 47?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + 3 + (-5 - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19779 - 19778. Sort k, 2\/89, -18 in decreasing order.\nAnswer: k, 2\/89, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*(m*m**(20\/3)*m*m*m)\/m))\/(m\/(m\/(m**29*m*m)))*(m*m**(-9\/2)*m*m)**(2\/77) assuming m is positive.\nAnswer: m**(-9403\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*h + 19190 = 18579 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 372, -4.\nAnswer: -5, -4, -3, 372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20398?\nAnswer: 2, 7, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 105340*y**5 + 164517*y**2 wrt y?\nAnswer: 6320400*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 531*w**2 - 2258*w**2 - 1706*w**2.\nAnswer: -3433*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/7 in -144.54, -0.22, 5, -2?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 364 = -4*w, 4*w - 5*a = -a + 364. What are the prime factors of w?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -652, 117, 884, 1649, 2412, 3173?\nAnswer: 3932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1126.009 + 1.35?\nAnswer: -1124.659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of z**6 - 4668906*z**4 + 66121*z**2 - 152*z.\nAnswer: 120*z**3 - 112053744*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 995 + -994.8. Which is the biggest value? (a) m (b) -1\/5 (c) -48 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/85365 + 85157\/8877960. Let n(j) = j + 2. Let b be n(-2). Suppose -3*h + b*h = 3. Which is smaller: h or w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 3)*(10 + 7*w + 0 - 10).\nAnswer: 28*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315243?\nAnswer: 3, 35027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/44 and -67\/119831796.\nAnswer: 1318149756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2082*u - 2 - 693*u - 700*u - 693*u. Determine x(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m + 4*m**2 + 2*m**3 + 5 + 3*m**4 - 3*m**2 + 0*m**3 - 3*m**2 as x*m**2 + h*m + b + g*m**3 + p*m**4 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3289 - 3293.998. Let l = 5 + v. What is l rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 0*m**3 - 5*m**2 + 4 - m**3 + 2*m**3. Let r be p(5). Suppose 2678*s + 216 = 2732*s. What is the closest to r in -1\/5, s, 1\/6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 10456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, 4.7, 6\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -3*h + 15, 4*h = -28*t + 23*t + 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.53693 days to hours.\nAnswer: 1956.88632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -3. Is n <= -0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 101211212?\nAnswer: 101211210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1633708 is divided by 116.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1883 - 13184\/7. What is the third biggest value in 4, q, 0.5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 87, 5, 0, -5, 4, -2 in ascending order.\nAnswer: -5, -2, 0, 4, 5, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.96725 + -0.03275. Which is the fourth smallest value? (a) i (b) 1.1 (c) -2\/9 (d) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -150 + (7191 + -7190 - (-4 - ((0 - 0) + 1)))\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -0.4, -682, -50?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence prp when three letters picked without replacement from {r: 1, p: 6, i: 1, a: 1, d: 1, h: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7545 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/(-12))\/(6\/(-576)). Let w = n - -77. Let a(i) = -i**3 + 8*i**2 - 14*i + 3. Let q be a(w). Solve 4*d + q = -0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 27 = 3*b, -28 = -4*w + 4*b - 2*b. Suppose 0 = -w*s + 79 + 61. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21112691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1518756831 and -244.\nAnswer: 1518756587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, p: 5, t: 4}. What is prob of sequence ppt?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 189684?\nAnswer: 948420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86 + -53. Let b(c) = -6*c - 10*c - 14*c + z*c. Let i(j) = 7*j - 5*j - j + 12*j. Determine i(b(w)).\nAnswer: 39*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 1011111?\nAnswer: -1100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 253368 divided by -138.\nAnswer: -1836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -14.95 and 0.3.\nAnswer: -14.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 639 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 4 - ((5 - 2) + -9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16115 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**5\/2 - 199*w**4\/2 + 10315*w**3\/2 + 2959123*w**2\/2 + 23458605*w + 41041800 = 0.\nAnswer: -151, -15, -2, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57019847 by -57019847.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 9*r = 8*r - 15977, -r = 2*z - 15971. Suppose o - 1601 = -2*v, -5*o + v - 2*v = -z. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 26*m - 1275. Let a be z(-51). Solve a = 3*x + 2*n + 12, -4 = 4*n + 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 7*y + 10. Calculate the least common multiple of 10 and w(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -17*p. Let z be -6 - (-7 + 2) - 1\/(-1). Suppose z = 15*o + 103 - 943. Let h(n) = 0*n - 2*n - o + 56. What is h(b(y))?\nAnswer: 34*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (1 + -8 - (-3 - 2))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -109*b**2 + 214*b + 2. Let a(j) = 2*j**2. Calculate r(a(s)).\nAnswer: -436*s**4 + 428*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 92252, 92245, 92234, 92219, 92200?\n\"Answer: -2*d**2 - d + 92255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.91 and 2?\nAnswer: -1.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13081, 13083, 13085?\nAnswer: 13087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 0) + 19 + -17.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -121405498 less than -40015?\nAnswer: 121365483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 2.5, -4, 10, 8 in increasing order.\nAnswer: -4, -1\/8, 2.5, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -3*j - q, -3*j + 25*q = 21*q - 47 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 81935*a - 208. Is h(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rfrrfffekrf. What is prob of sequence fff?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266382 is divided by 133189.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 10 - 96*z - 8.\nAnswer: -96*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jrmrdyemy. Give prob of sequence rjm.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1271*n + 14976 = -24425 for n.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(10\/9)\/n*n*n*n*n)\/(n*n**(-3\/13)*n*n))\/((n\/(n**(-2\/7)*n)*n)\/(n\/n**(1\/19))) assuming n is positive.\nAnswer: n**(15616\/15561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*130279882\nAnswer: 26055976.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 6. Let t = k + 0. Suppose 3*p - 13 - 11 = 3*x, 0 = -t*p - 2*x - 1. What is the remainder when 5 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-35)\/26*(-8)\/((-320)\/552). Let o = -37\/2 - r. Let i = 944\/3 + -312. Is i less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**2\/9 + 98*t\/3 - 2480\/9 = 0.\nAnswer: -155, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2345*g + g**2 + 1171*g + 328 + 0*g**2 + 1174*g as m*g**2 + l + b*g and give l.\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 9*l**2 - 2*l - 4. Let c(h) = -h**2 + h + 3. Suppose -k + 0*k - 3 = 0. Let p be c(k). Calculate the smallest common multiple of 10 and y(p).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -6. Let l(p) = -2*p - 3. What is l(w)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -302?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (2 - 1) + (-283 - -278) - 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36190849?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 12*i. Suppose i = 22*k - 25*k. Let u = 0 - k. Solve 5*l + d - 11 = u, 7 = -6*l + 3*l - 4*d for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 242213523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*h - 72*h + 79*h)*(-1 + 6 - 3 + (-1 - 2 + 1)*(3 + 1 - 5) - 1 + 1 + 1 + 0 - 3 + 4)*(-8 + 4*h + 8 + (2 + 2 - 2)*(-4*h + 0*h + h)).\nAnswer: -492*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -62157 - -504?\nAnswer: -61453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 414.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*k + 2*k + 340. Suppose -12*o + 7*o = -k. Solve 2*y + o*v + 14 = 0, 6*y = y + 5*v + 10 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/7 + 36*t**2\/7.\nAnswer: 2*t**2*(t + 18)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/((7\/(-12))\/(-7)). Let b = x + -11. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22239.1786 to zero decimal places.\nAnswer: 22239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmpuufpaumuuappuuu. Give prob of sequence papa.\nAnswer: 1\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g - g - 24*g.\nAnswer: -34*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.19, -1, -462\/43, -1.1.\nAnswer: -462\/43, -1.1, -1, 0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + -5 - -5768) + 3 + 3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-18)*(-485 - (-2 + 0)). Let p = v + -639\/4. Let f = 2 + -3. Sort f, 2\/3, p.\nAnswer: f, 2\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -15*f**2 - 6*f + 16. Let s(v) = -15*v**2 - 5*v + 16. Let w(d) = 5*q(d) - 6*s(d). What is the derivative of w(y) wrt y?\nAnswer: 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/(1030\/30900).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -0.1 (c) 4 (d) 2\/123\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -16203341 (base 7) to base 12\nAnswer: -6352a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/16 and -13\/10488.\nAnswer: 20976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/8)\/(242\/8712) + (-45)\/2.\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*40\/(-528))\/((-138)\/(-207)).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 2*g - 32. Let l be 6\/g - 21\/4. Calculate the least common multiple of 4\/(l\/45*-3) and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2 + 24*v - 178. Give y(15).\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 875?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2845641?\nAnswer: 3, 948547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3005082525 to the power of 1\/2, to the nearest integer?\nAnswer: 54819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.01 - -0.41. Let v = -0.6 + m. Suppose 4*l - 4*y - 33 = -45, 4*l + 2*y = -12. Put v, l, -2\/17 in decreasing order.\nAnswer: -2\/17, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21728 divided by -1552?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 6. Let h = k + 7. Suppose c - x = 21, 4*c - h*x - 52 - 37 = 0. Is 16 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*u - 4*i, 3*i - 6 = -15. Calculate the least common multiple of u and 572.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.3 + 2.5. Put m, 1, -4, 1\/7 in increasing order.\nAnswer: -4, 1\/7, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is da899d2 - 0?\nAnswer: da899d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/5, -4, 0.6, 608, 5, -2\/37, -5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -8*d**3 + 3*d**2 - 8*d - 23. Suppose 4*o + 1 = -3*y, -4*y - 4*o + 9 = y. Suppose -11*t = -y*t + 36. Is n(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, -2, -1911\/23, -2.6, 2\/9, 0.3?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 0 - (12 + -19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 7 (b) 0 (c) -7\/516 (d) 1 (e) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -692\/55 less than -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-6)\/(-4))\/((-34)\/68))\/(-1). Suppose -c + 258 = l*h - 86, -4*c - 93 = -h. List the prime factors of h.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -1. Let c(x) = -37*x**2 + 1. Give b(q) + c(q).\nAnswer: -37*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (9 - (-17 - (0 - 4)))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.451 at most as big as 123\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5264 and 1645.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -8.8.\nAnswer: 1.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 257.8282 millilitres to litres.\nAnswer: 0.2578282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/7 (b) -2 (c) 5\/7 (d) -0.1 (e) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19893556753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) -1\/4 (c) -3 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -5\/4 (c) -0.04 (d) -2 (e) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -422 - 2?\nAnswer: -424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 124\/1105 + -3\/85. Is r at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 6, 18*o - 1 = -y + 19*o for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7063 (base 12) in base 14?\nAnswer: 4615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -z + 6*z. Let g(p) be the second derivative of -p**5\/10 - p**4\/12 - p**3\/6 + p. Let m be g(-1). Solve m*j + 4*i = -22, -i + 0 - z = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10544 + 10474. Which is the closest to -5? (a) 0.3 (b) x (c) 0.1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 3. Let z(p) = -p**2 + 31*p - 123. Let v be z(26). Suppose 20 = v*l - a*l. Sort -1, 0, l.\nAnswer: -1, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3 + 0)*(-f + 5*f - 3*f) + 2*f + 0*f - f - 114*f + 13 - 8 - 5 to the form d + l*f and give l.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1679740*n**3 + 41*n**2 + 2*n + 865.\nAnswer: -10078440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -814*u - 74801 = -165*u + 16871 - 15090 for u.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 21*h + 63. Suppose -m = o - 23, 0*m = 4*o - m - 82. Let s be u(o). Calculate the highest common factor of s and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/453295 and -47\/3807678.\nAnswer: 19038390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 7:56 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 3\/2, 0, -6.3, -0.05?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -605\/2 + 308. Let n = -0.95 - 3.05. What is the closest to s in -5, 2, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 3 = z, 0 - 7 = i - z for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 25439454 divided by -6\nAnswer: -4239909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3286 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11316 and 410?\nAnswer: 56580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 16 + 9 = 5*n, 0 = -3*n + 5*l - 13. Suppose 2*i = -4*i - 198. Let k be 138\/i + 2\/11. Sort -7, k, n in increasing order.\nAnswer: -7, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 6*t**2 + 2*t + 5. Let j = -9 - -5. Let o be q(j). Suppose 0 = -5*u - 4*i + 51, -3*u + o = 5*i - 12. Is u a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -2*v**2 + 2*v - 8. Let l(p) = 5*p - 3. Let g(w) = 3*l(w) + 4*r(w). What is g(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-21 + 28)) + 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 - -65 - (-1 - 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -347.04 - -347. Which is the third biggest value? (a) 0.4 (b) 1\/4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -682 + 245*n**2 - 281 + 959 + (-3 - 1 + 2)*(-n**2 - 2*n + 2*n).\nAnswer: 247*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 715106 is divided by 4040.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6477418*l**2*u**3*w + 1881*l**2*u - 2*l*u**2*w + 2*u**2*w + 120 wrt u.\nAnswer: -38864508*l**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**5 + 20*o**4 + 4*o**3 - 68*o**2 - 88*o - 32 = 0. Calculate o.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 6*y**3 + y**2 - y. Let l be ((-4)\/5)\/((-10)\/(-525)). Let z = 43 + l. Calculate t(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37324 + -4478803\/120. What is the common denominator of t and -89\/168?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 521 + -524. Suppose 3*w + 2 = w. Put t, 4, -2, w in ascending order.\nAnswer: t, -2, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 j when four letters picked without replacement from {a: 7, j: 7}.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + i + 12 = 0, -2*i + 11 = -4*c - 7. Let p = -1 - c. Let o be 306\/24 - p\/(-8). What is the highest common factor of 91 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + 224. Calculate the remainder when r is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16 - 591?\nAnswer: -5a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 17 (b) 14 (c) -2\/13 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 2144 = -5*f, 5*l - 1758 = -5*f + 2*f. What is the least common multiple of 9 and l?\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18388.45125 - 0.45125. Let p = j - 18380.049. What is p rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18918\/(-81) - 4\/9. Let l = d - -194. Suppose 3*c - 4*z = -128, 0 = 5*c - 5*z + 3*z + 204. Is l < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -24\/25 + 22\/5*g**2 + 16\/25*g = 0.\nAnswer: -6\/11, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -2. Let n = -165 - -160. What is the biggest value in i, 1\/5, n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 36 = -0*o + 2*h, -2*h = 2*o - 18. Solve n + 2*c = -o, -5*n + 2*c = -3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122372 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 320 divided by -2277\nAnswer: -320\/2277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41\/3 + -286\/21. Let y(p) be the second derivative of p + 1\/35*p**5 - 1\/147*p**7 + 0*p**4 + 0 + 0*p**2 + 0*p**6 - k*p**3. Find u, given that y(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and -356821.\nAnswer: -3568.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -1\/17 (c) -22.6 (d) 0.5 (e) -4\/3 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 d when two letters picked without replacement from {e: 1, d: 1, s: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 240382 and 4997?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6*v = -5. What is the common denominator of 59\/(-15)*6\/(-8) and (-13)\/(-6) + 2 + v?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 3*r**2 - r - 1. Let b be g(-4). Let d(k) = -2*k**2 + 4. Let m be d(4). Let c = b - m. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 18. Let s be (-4)\/3*l\/(-6). Find the second derivative of -3*u**2 + 3*u - 4*u - s*u wrt u.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3*p + 537 = 0, -4*i + 2*p + 429 = -p. What is the greatest common divisor of 162 and i?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + y**2 + y + 5. Let k be t(0). Suppose -4*v + 3*p = -k - 5, -2 = -p. Suppose 5*o - q - 2*q = 18, 2*q = v*o - 14. Solve -5 = o*d - 2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 25 - 2*i - 41 - 21.\nAnswer: -2*i - 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 86741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -108 divided by 27\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/1906 + -7633\/5718. Which is the closest to 0.3? (a) -0.4 (b) s (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 122 + (19 + -1 - 6) + -30\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -310761, -310762, -310763, -310764?\n\"Answer: -x - 310760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -23*a*k*l**2*s**2 - 4*a*k*l**2*s + a*l**2*s + 12*a*l**2 - 2*a*l*s**2 wrt k?\nAnswer: -23*a*l**2*s**2 - 4*a*l**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.5, 2\/11, -4, 3\/4?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j. Let s(b) = -576392*b. Determine s(d(q)).\nAnswer: -576392*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -109 - -1201\/11. Sort -0.2, 2, w, -1\/3 in decreasing order.\nAnswer: 2, w, -0.2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-14240)\/(-534))\/(2\/(-735)*-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7159?\nAnswer: 7159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 74*o - 72731 + 72879 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16890)\/(-11823))\/(46\/7)*42\/15?\nAnswer: 14\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2. Suppose d + d - 1516 = -4*n, -4*n = d - 1512. Let k(i) = 4*i**2 - 377*i + n*i. What is k(l(z))?\nAnswer: 16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 11*p + 2. Let o be f(-11). Suppose -l + 66 = o*l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1120702 is divided by 1949?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 443115511 to the nearest integer?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 58 in 11\/29, 5, -27\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 + 11. Let f(d) = d**2 - 6. Let v(t) = 11*f(t) + 6*u(t). Let c(r) = 39*r. Let z(h) = -25*h. Let m(k) = 5*c(k) + 8*z(k). What is v(m(j))?\nAnswer: -25*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 201 and 61169191.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.9 + 1.8. Let k = 2.88 + a. Let j = k - 17.68. Round j to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 80?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 43, 3, 2, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -67125.3642 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.262142776 and 0.3.\nAnswer: 0.562142776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*sqrt(475) - -6*(sqrt(19)*1 + -4))**2 + -5.\nAnswer: -638*sqrt(19) + 3135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -14201, 16, 0.3, -14\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 3*u**2 - u + 3. Let c be s(-3). Let f(b) = b + 5. Let v be f(-4). Let n(t) = 2 + v - 1. Let j(q) = -q - 7. What is c*n(i) + 2*j(i)?\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16483481?\nAnswer: 7, 61, 38603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 + -6 + -6 + (1126 - 1045)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1755 and 39608028?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*f - 932 - 9078. What is the highest common divisor of 605 and f?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 91, 140, 189, 238?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2492*c**5*p**2 - 3*c**3*p**3 - 4*c*p**2 + c + 139*p**3 - 4*p**2 wrt c?\nAnswer: -49840*c**3*p**2 - 18*c*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 8*z - 7. Suppose 0 = 5*a - 93 + 88. Let o be k(a). Let p be -4 + 1\/o + (10 - -2). Calculate the highest common factor of 9 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 389 in ascending order.\nAnswer: -1, 4, 389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and -193714.1?\nAnswer: -2130855.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -13a0127a?\nAnswer: -13a01280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2099*b - 111220. What is n(-53)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 6922 = -h, -w - 6*h + 4*h + 3471 = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 630 and 280?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.00072 - -1. What is a rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -962*z - 16. Let t be s(9). Let q be t\/(-6) + (-4)\/6. Suppose 0*c + 5*c = q. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -897889.54 - -1649.347.\nAnswer: -896240.193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 12:58 PM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 285\/38 - (6\/4 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14329440 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11776)\/(-115))\/(-32) - (-1)\/((-25)\/(-730))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6568749 is divided by 245?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence utff when four letters picked without replacement from btuffgug?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oojj when four letters picked without replacement from {s: 4, j: 2, o: 4}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -36580*j**3 + 32*j**2 + 48*j + 16. Let q(v) = 7316*v**3 - 6*v**2 - 9*v - 3. Calculate -3*m(s) - 16*q(s).\nAnswer: -7316*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.2? (a) 0.4 (b) -46 (c) 1\/538\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 14 + -7 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 778 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from wywkyyywkwky.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140268 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0189 plus -17?\nAnswer: -16.9811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000007957 to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -t**4\/20 + 17*t**3\/10 - 21*t**2 - 285*t. Factor i(g).\nAnswer: -3*(g - 10)*(g - 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, -49, 66 in decreasing order.\nAnswer: 66, -0.08, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (1*sqrt(180)*6 - sqrt(180)) + 5)**2.\nAnswer: 240*sqrt(5) + 4516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z - 11. Suppose 3*n - 37 = -13. Is 3 a factor of f(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 597 divided by -21\nAnswer: -199\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 39, 70, 135, 246?\nAnswer: 415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2\/13*y**2 - 4\/13*y + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 29*x + 11. Solve 50 = -x*j - 8*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-5))\/((-20)\/(-21750)*87).\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1742969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -2*c + 1, 2*c - 4*k - 21 = -5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19175.00000001533 + -19175. Round s to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 20 = -2*f, -f - 28 = -5*f - 5*x. Let m(b) = -b**2 + 7*b. Let p(g) = g**3 + 5. Let h be p(0). Calculate the lowest common multiple of m(h) and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -10*l**2 - l + 1. Let t(f) be the third derivative of f**6\/60 + 7*f**5\/60 + f**4\/4 - f**3\/6 + 11*f**2. Let h be t(-5). Let o = h + 107. Give y(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/6*(-23)\/(-115)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -1, -92, 20, 7 in increasing order.\nAnswer: -92, -1, 0, 5, 7, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -29*d**5 - d**2 - 10*d + 442. What is the second derivative of z(x) wrt x?\nAnswer: -1740*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g - 11*g - 15 = 0. Suppose -3*q = 3*p + 110 - 1055, -g*p = q - 311. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 - 1112110220?\nAnswer: -1112111021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105\/630)\/(1*1\/(-2)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**3 - 43293*s + 43293*s.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15797*i + 263832 - 131914 - 131917.\nAnswer: -15797*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1075206 at most as big as -1075203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j**2 + 7244 - 7244 + 7*j**2. Let h(x) be the third derivative of 3*x**5\/20 + x**2. What is c(h(o))?\nAnswer: 243*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9214 - -1?\nAnswer: -9213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/72*3*2*-6. Suppose y = 3*t + p - 1, 0 = 5*y + t - 37. Solve g + 2 = y for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1537391143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19760 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46872.36cm to millimeters.\nAnswer: 468723.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (142\/(-10))\/(((-1428)\/(-85))\/21)*136\/34.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 5 + 7 = 0. Let u be 3\/z*(2 - (-4)\/3). Calculate the remainder when 242 is divided by -1 - -1 - (-54 - u).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1124 - 2?\nAnswer: -1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-78)\/(-130) - (-35)\/25. Solve -x + f = 2*p - p, 0 = 4*p - 2*x - 26 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k**3 - 6*k**3 + 2*k**4)*(1113 + 522 + 724 - 326).\nAnswer: 4066*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 23*m + 49. Let x be i(21). Suppose x*w = 99 - 8. Solve -3*z + w = -5*z + 5*s, -5*z = -2*s + 22 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -13*y**3 - 2*y**2 + 13*y + 22. Let d(u) = -6*u**3 - u**2 + 7*u + 12. Determine -11*d(f) + 6*n(f).\nAnswer: -12*f**3 - f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/67106 and 69\/4628?\nAnswer: 134212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.065 or -1.3?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 - -29. Let i be ((-9)\/2)\/3*2. Let m be -2 - (k + i)*-3. Solve 9 = m*s - 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 3 = -2*r. Suppose -f - f = r*o - 18, 4*f + 3 = 5*o. Solve f*l = 3, l = 4*v - l - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cd (base 16) to base 10.\nAnswer: -205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -11306*d. Let b(j) = -24540*j. What is s(b(v))?\nAnswer: 277449240*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -81, -132, -183, -228?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(-1)*f*f)*f)**(-2\/107))**(-11\/4)\/((f**(-2\/9))**13*(f\/f**0)**(-3\/17)) assuming f is positive.\nAnswer: f**(469\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2940 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 230674 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 10 - (1 + -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {p: 12, o: 2, b: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m - 2*f = -5*m - 13811992, 4*f = m - 4604016. Suppose 5*d = 9*d + m. Round d to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18146589?\nAnswer: 3, 139, 43517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/8 > -67222?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 213*a**2. Let g(d) = -5*d - 24. Let h(t) = 3*t + 15. Let c(m) = -5*g(m) - 8*h(m). Calculate b(c(l)).\nAnswer: 213*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) - sqrt(150)\/sqrt(20))\/(sqrt(360) + sqrt(360)*-1 + sqrt(360)).\nAnswer: sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**2\/3 + 33385*b\/3 + 33388 = 0.\nAnswer: -3, 33388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 5\/2418?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 84075391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 389 * -0.51.\nAnswer: -198.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - 16cd?\nAnswer: -16c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -55367928.\nAnswer: -1\/13841982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*i + 94. Differentiate r**2 + i*r - 29*r - 1 - 2*r**2 with respect to r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1658435 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 0\/2)*-3. Suppose b - 4*r - 41 = 0, 14*b + 13*r + 131 = 18*b. Sort 11, i, b in descending order.\nAnswer: 11, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 140*z**2 + 10*z - 2586*z**2 - 10*z as m + s*z**2 + a*z and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/(-1))\/(-31 - -29). Let c(x) = -x**3 - x**2 - x + 25. Let k be c(f). Solve -6*w = -w - k for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**4 - 2*y**4 + 3*y**4 - 201 - 13*y**4 + 201 + (y**2 + y**2 - 3*y**2)*(-y**2 - 5*y + 5*y) + 0*y**4 + 0*y**4 + y**4 + 2*y**4 - 2*y**4 - 2*y**4.\nAnswer: -12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-14) - (3432\/(-42))\/(-11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c - 492 = 14. Let r = 52 + c. Suppose -2*l - 8 = -r*l. Is l less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, 0.06, 0.004, -11?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.4308 + -0.0408. Let n = c - -0.01. Let g = n - 5.8. What is the second biggest value in -5\/6, 2\/11, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91.5147 rounded to 1 decimal place?\nAnswer: -91.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 396\/63 + 14\/(-49) + 5 + -3. Solve j*w - 12 - 4 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*y - 18*y - 3*y)*(-5 + 0 - 1)*(2*y - 4 + 4).\nAnswer: 360*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 582259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g - k - 21 = -5*g, 2*k - 23 = 3*g. Let i be (-3)\/40*-58 + g\/1. Is -2 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*b, -3*h - 2 = -3*b - b. Suppose c - 63 = -h*c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91 - 90. Suppose -2*r = -4*t - 3*r + 25, t + 2*r = w. Let y(n) = n**3 - 7*n**2 - n + 7. Give y(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8, 16, 8, -22, -80?\n\"Answer: -o**3 - 2*o**2 + 21*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193*d + 448 = 305*d. Let x(c) = -c**3 + 5*c**2 + 8*c - 8. Let z be x(6). Solve -z*t - 5*r + 13 = 0, 4*t + 10 = d*r - 22 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 8. Let v = 1204 + -1211.19. Let i = c + v. Round i to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19*n**3 + 70*n**3 + 23*n**3)*(0 - 1 + 2)*(4 - 4 + 3)*(-2 + 0 + 0)*(-2 - 1 + 1) as o + v*n + d*n**3 + w*n**2 and give d.\nAnswer: 888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 3*q - 93, -5*s + 48 + 23 = 2*q. Suppose 3*c = -z - 7, -2*z = -6*z + 2*c - q. Let r be (1\/2)\/(z\/70). Sort r, 3, 5.\nAnswer: r, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.55 minus 0.02512?\nAnswer: 1.52488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157379.\nAnswer: 337, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*q**2 - 214 + 19*q**2 + 217)*(-4 + 2 - 7) + (0*q + 3*q - 2*q)*(-2*q + 1 - 1) + q**2 + 0 + 0 to g + c*q**2 + s*q and give g.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 140865 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 6499207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.9 (b) 1\/4 (c) 86983\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1450 and 2287375?\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (-35 + (-8 - -8) - -35)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 8:55 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -353 and 2?\nAnswer: -706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 15*p**2 - 17. Suppose -3*g + 2 = -1. Is b(g) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/12 and -95\/62669874?\nAnswer: 125339748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (3 - 7 - -10)) + 9\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1 - -2) + (-4 - -1))\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -328 greater than -320?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 182309223 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 16 = 9. Let k be (-4 + 0)\/((-18)\/171). Suppose 2*x + 3*j - 11 = 6, -5*x + k = 3*j. Calculate the remainder when x is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/3 - 29012*k**3\/3 + 70122000*k**2 + 280642752*k.\nAnswer: k*(k - 14508)**2*(k + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-24)*k)\/(k*k**(-9))*k*k**(-1\/10)*k*k\/k**22*k assuming k is positive.\nAnswer: k**(-331\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.77 + -2.43. Let i = k - -3.1. Is i at least as big as 96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50275\/22 - 19104\/11. Let f = 561 - j. Calculate the common denominator of -40 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2.6, 4, 3, 1, 2\/19, 4\/3?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189) - (sqrt(189)*3 + sqrt(189) + sqrt(189)))\/sqrt(7))\/((sqrt(216)\/sqrt(4))\/sqrt(6)) - 3*(sqrt(30)\/sqrt(490) + sqrt(33)\/(sqrt(11)*-1))**2.\nAnswer: -4*sqrt(3) - 324\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.24? (a) 12 (b) -1 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1747.3648 to the nearest integer.\nAnswer: 1747","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*b + 18*b + 4*b in the form x*b + j and give x.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 2*t. Let a(p) = -2*p**3 - 12*p**2 - 2*p - 10. Let o be a(-6). Let n(z) = -z**2 + z. Calculate o*n(c) - q(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -3.1\nAnswer: 9.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + sqrt(3645) + -3 + sqrt(3645) + 1) + 1 + -1.\nAnswer: -216*sqrt(5) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -18\/13?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(99)*2*-1 - -5*(1 + 0 + sqrt(1100)))**2.\nAnswer: 800*sqrt(11) + 70425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3 - 3 + 2*s**3 + 1 + 13*s**2 + 12. Let o(n) = n**3 + 6*n**2 + 6. Let j(m) = -m**2 + 7*m + 7. Let c be j(6). What is c*o(a) - 6*h(a)?\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - 37) + -14 + 5?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-63)\/(-12))\/((-1)\/(-2*12)) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14251531 + 55?\nAnswer: -14251443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 375189487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306*w - 12 + 12 - 304*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(-7)\/(-12) + -1. Let h be 1 + 0 + 6\/2. Let s be 5 - ((-12)\/(-4) - 3)*1. What is the smallest value in s, h, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, 3, 0, 8 in decreasing order.\nAnswer: 8, 3, 0, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 0*q - 3*q + 4 + 6*q**2 + 7*q**3 - q - 6*q**3. What is the common denominator of 49\/15 and a(-7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237157897.\nAnswer: 439, 593, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 40471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1006913?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 138*g**5 - 264*g**4 - 2*g**2 + 3*g - 64564 wrt g?\nAnswer: 2760*g**3 - 3168*g**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1112153 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8904)\/161)\/8 + 2\/(-23).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -3*f + 2640, -f = -4 - 1. Let o = l - 359. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 3769367?\nAnswer: 7538734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -2*l + 6. Let c = 0.592 + -0.892. Sort 0.1, 2, c, l in descending order.\nAnswer: 2, 0.1, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5016 times 3\nAnswer: 15048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3 + 2 + (6*-2*sqrt(156) + sqrt(156) + sqrt(156))\/(sqrt(132)\/(sqrt(44)\/sqrt(4))))*-1)**2.\nAnswer: -400*sqrt(13) + 5300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 228*g - 10258. What is r(45)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 787891 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -10*n + 0*n + 5*n + 2*n. Suppose 3 = -3*f - 3. Calculate g(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 270 - 146. Solve -d = -14*o - 17*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -9*s**3 + 13*s**2 + s - 27. Is o(-7) a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -975 - -1879. Suppose -44 - p = -3*c. Suppose -2214 = -5*h - i, 4*h + 4*i - 1452 = c. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 2*n + 3*x, -31*n + 32*n - 4*x = -15 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 - 0.29997. What is p rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 16451.02m?\nAnswer: 16.45102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 4 + 123 = -6*h, -6*o - 4*o = -2*o + 286*h - 282*h + 116 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39435*f + 39435*f - 28*f**3 - 1.\nAnswer: -28*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -457, -452, -445, -436?\n\"Answer: h**2 + 2*h - 460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**7\/630 - 61*b**4\/12 - 242*b**2. Let l(o) be the second derivative of r(o). Let m(t) = 32*t**2. Calculate l(m(v)).\nAnswer: 4096*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.00023 * -0.3\nAnswer: 0.000069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29764 and 179536.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12487809 is divided by 111?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13452 - 52?\nAnswer: 13400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -107 - -131. Is 2034\/48 - 9\/x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*m - 24624 = -0*m. List the prime factors of m.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 - 2*x + 2*x)*(0*x**3 + x**3 + x**3) - x**3 + 2*x**5 + x**3 - x**4 + x**5 + x**4 - 5*x**5 + x**5 + 0*x**5.\nAnswer: x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1765219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 357431?\nAnswer: 357431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 608\/69385?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of u**3\/3 + 2*u**2 - 17*u + 2. Let b be 4*((-21)\/6 + 2). Calculate d(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n - 9. Let f be -1 + 6\/10 - 608\/80. What is z(f)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 124?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 6:09 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5299 + (12\/(-10))\/((-33)\/110).\nAnswer: 5303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*c - 82 + 20, -4*d - 2*c = -114. Suppose -h + 8 = d. Let m = h + 19. Solve 0 = -u + 2*u - m for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 683251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*k - 56 = -p - 25*k, 5*p - 220 = 5*k. Suppose 3*u - 3*y = 717, u - 2*y = 173 + 67. Calculate the remainder when u is divided by p.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - u = -l + 68, 22 = 2*l + 4*u. Let j(g) = -g + 44. Is j(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 o when two letters picked without replacement from {o: 5, y: 2, e: 3, a: 2}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 253*t**2 + 505*t. Give j(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z + 8. Suppose 5*j + 0*j - 10 = 0. Let f be p(j). What is the second derivative of -15*v**f - 21*v**2 + 25*v**2 - 15*v wrt v?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -376804 + 376804. Suppose 3 = 5*g - 7. Solve a = -g*n - 7 - 3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**4\/5 - 753664*z**3\/5 + 2713272*z**2 + 63309376*z\/5 + 66324016\/5 = 0.\nAnswer: -753682, -2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-1379.6.\nAnswer: -551.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 3:09 AM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (2 - ((3 - 4) + 7)) + 6 - -15\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 8:39 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from beddbfbfdebfe. Give prob of sequence bddb.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -76 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -4*i**4\/3 + 4*i**3\/9 + 68*i**2\/9 + 76*i\/9 + 8\/3 = 0?\nAnswer: -1, -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-3))\/s)**(-45)\/(s\/((s**(-2\/5)\/s)\/s))**8 assuming s is positive.\nAnswer: s**(539\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/1086 and 83\/15717?\nAnswer: 5689554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d + 28. Let s be q(-13). Suppose 0 = -f - o, 5*f + s*o - 6 = 9. Put 2, -7, 1, f in ascending order.\nAnswer: -7, 1, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + r - 3*r - 94 = 0, -3*b - 3*r = -84. Let d = b + -41. Is d <= -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 805\/154 + 5*(1 - 2). Is z > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*r**5 - 3*r**5 + 28*r**5 + (3 - 2*r - 3)*(0*r**2 + 0*r**2 - 2*r**4) + r**5 + 3*r**5 - 3*r**5.\nAnswer: 38*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -43, -82, -119, -154, -187, -218?\n\"Answer: b**2 - 42*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -56*c - 6*c - 77*c + (-2 + 0 + 3)*(-1 + 1 + c).\nAnswer: -138*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 247*t**2 - 2. Let z(o) = 10*o**2. Give h(z(u)).\nAnswer: 24700*u**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3598 + 3612. Solve 0 = -7*a + o for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4170028 is divided by 56349?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 169840 and 6836832.\nAnswer: 3088","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1.2148627.\nAnswer: -2.4297254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**1)\/(v*(v*(v\/v**(4\/5))\/v)\/v))\/((v*v**(2\/7)*v)\/v**(-2\/7)) assuming v is positive.\nAnswer: v**(-97\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -14545122 (base 6) in base 8?\nAnswer: -1747412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or 13520?\nAnswer: 13520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - 4\/(-26) - (-608)\/104. Let c = -824 + 827. Solve c*q + y = q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/(-33))\/((-261)\/(-957)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44431122 bigger than 44431102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8919388 plus 499?\nAnswer: 497.1080612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/10*11790\/(-16506)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 125*n**3\/3 + 3*n**2\/2 - 27*n - 24. Is t(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -16\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -5*x + 37. Let y(z) = z - 12. Give 4*s(i) + 11*y(i).\nAnswer: -9*i + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 4)*((-4 - t + 4)*(-2 + 3 - 2) - t + t - 2*t - 2*t + 0*t + 5*t)*(1 + 3 - 3) in the form l*t + v and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*(-4 + ((sqrt(432) - (sqrt(432) - ((sqrt(432) + 1 - sqrt(432)) + 2))) + 5)*6 + -4))**2.\nAnswer: 1599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8890 times -4?\nAnswer: 35560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 10:39 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/18)\/((-2)\/(-21)) - -3. Is 12 less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 730 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260 = -3*c - 5*i, 3*i + 560 = 5*c + 104. What is the greatest common factor of c and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -0.087?\nAnswer: 0.087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 105\/6*-1*8\/10. Let s be (-1290)\/105 - 4\/v. Let a(q) = -q**2 - 2*q + 12. Let w be a(-6). Is s greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.064? (a) -4.84 (b) -3 (c) -0.37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 3*t**2 + t. Let g be d(3). Let n be (-12)\/(-10)*(-20)\/(-8). Solve -n*y - 5 = 2*b, 0*b + 2 = y - g*b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 5*f**5 - 205*f**4 + 1440*f**3 - 4120*f**2 + 5360*f - 2640 = 0?\nAnswer: 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 - -90. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12226600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49394*j**2*t**3 - j**2 - 3*j*t - t**3 - 20449*t**2 wrt j.\nAnswer: 98788*t**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*q + 11701 = 12805 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 1211?\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 444, 891, 1340, 1791, 2244, 2699, 3156?\nAnswer: 3615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68 + -63. Suppose -n = -6*n + 10, 5*n + 725 = h*y. Suppose 19*b - y = 16*b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/3)\/(1*10\/(-15)). Let s be 11 - (0 + 5) - (-3)\/l. Solve 7*a + 8 = s*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.1 + -1.2\nAnswer: 2.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 8*b. Let w be l(2). Let c be ((-4)\/(-10))\/((-18)\/(-765)). Suppose -i + c = -w. List the prime factors of i.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3345?\nAnswer: 3, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7574173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 25 (b) -3\/2 (c) 313 (d) -1 (e) 2\/9 (f) 0.1 (g) -2\/17\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -4*a - 6*w + 2*w, 0 = -a - 3*w + 20. Let q = -10 + a. Let v be (0 + 1)*1 + 3. Calculate the highest common factor of v and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2133*o - 2607*o + 157512 = -55*o + 1878*o for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002529181 rounded to five decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 1. Let a(p) = 5*p**3 + 13*p**2 + p + 14. Let d(o) = a(o) + 4*j(o). Calculate d(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33076, -76, -2, 1, 5, 4, -5 in increasing order.\nAnswer: -33076, -76, -5, -2, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 13*s**2 - 15*s + 9. What is g(11)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 + -16. Calculate the greatest common divisor of v and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 9*k - 32. Let s(y) = 3*y - 11. Let p(r) = 3*c(r) - 8*s(r). What is p(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131 divided by -7.\nAnswer: -131\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 3:32 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -488521 by -499.\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**4 + 3*k**4 - 2*k**4 + ((0 + 3 - 4)*(k + 0 - k**2 + 0) + k**2 + 0*k**2 - 12*k**2)*(-388*k**2 - 500*k**2 + 535*k**2).\nAnswer: 3529*k**4 + 353*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 320.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 11:11 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51620 and 3074.\nAnswer: 2735860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 0.4, -5\/2, -1\/3 in descending order.\nAnswer: 0.4, -1\/4, -1\/3, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15893534 and 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -5*u + 4*n, n = 4*u - 74 + 13. Let p(m) = -m**3 + 14*m**2 + 13*m - 19. Give p(u).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7508 - -11783. What is the highest common factor of 105 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30773?\nAnswer: 30773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c - 9*c - 5*c + 2 - 2.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmenzemeobnb. Give prob of sequence bo.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yjssjt. Give prob of picking 1 s, 1 j, and 1 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26517*a**2*v**2 - 25*a*v**2 + 243*v**2 wrt a?\nAnswer: 53034*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2120640 and 960.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19.011 - -0.011. Let g = -19.0385 - a. Let k = -0.031 - g. Round k to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/11, 45, -0.03?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-1))\/(9\/(-12)). Suppose -3*h + 3*s - 12 = 0, -5*h + 330*s = 328*s + 14. Put t, 2, h in ascending order.\nAnswer: h, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 677342 to the nearest integer?\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 858.6364 weeks in seconds?\nAnswer: 519303294.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + fd0?\nAnswer: fd4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-13 - -1)\/4 + 26 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.3*99.65389.\nAnswer: -229.203947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2386100*b + 4014. Let o(p) = -7144*p + 12. Determine -1338*o(z) + 4*x(z).\nAnswer: 14272*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v - 5. Let a be l(-5). Let c be 0 - 25\/a*(-8)\/(-10). Suppose -5*w = 20, x = -x - c*w + 150. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, q: 9}. What is prob of picking 1 o and 2 q?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 722282169.\nAnswer: 3, 7, 19, 1013, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m. What is q(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -116 - (-85 + 67) - -233\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 214, 252, 298, 352, 414, 484, 562?\n\"Answer: 4*v**2 + 26*v + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 + 47. Let l = -0.17 + 0.57. Which is the second biggest value? (a) u (b) l (c) -3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 - 27 = -3*u. What is the least common multiple of u and 12\/2*(184 + -179)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23610?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 256094 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*n = -321*n - 840 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 3. Let l(k) = -26*k - 2. Suppose 3 = b, 3*z = 2*b + 12 + 3. Calculate the remainder when l(m) is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -267 - -55. Suppose 169 = 2*l - 425. Let i = r + l. List the prime factors of i.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16649?\nAnswer: 16649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 43297 to the power of 1\/2, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 816367628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f + 2. Let a be ((-240)\/14)\/(-3) - 12\/(-42). Calculate l(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)*-3 - sqrt(252))\/(sqrt(36)\/sqrt(81) - sqrt(4)).\nAnswer: 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*(c*c\/(c**(2\/3)*c))\/c*c)**(-45)\/((c*(c\/c**(-2\/13))\/c)\/c*c*c**(-7))*(c**(-3\/4)*(c*c**(-7)*c)\/c)\/(c**0)**(3\/17) assuming c is positive.\nAnswer: c**(-5507\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -19c (base 13) to base 12\nAnswer: -20a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/13 (b) 4\/3 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 160 = -4*m, 2*m - 8*p = -4*p + 78. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 1480*w**3 + 12*w**2 + 11*w + 9. Let i = 18 - 9. Let s be r(i). Suppose 4*d = 3*d - s. Round d to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 533, 8, -4, 44, -1.\nAnswer: -4, -1, 8, 44, 533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 35*w - 154. Let p(v) = 10*v - 80. Let n be p(11). Let d be f(n). Let m = 6 - 6.3. What is the nearest to 0 in d, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2\/15, 0.09, -3?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 1\/6*a**6 + 1\/4*a**4 + 0*a**5 + 0*a**2 - 11*a + 0 + 0*a**3. Find the third derivative of u(g) wrt g.\nAnswer: 120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14068*i**4*o - 10952*i**2*o**3 + 1430*i*o**3 - 7*i*o - 7*i - 715 wrt i.\nAnswer: 168816*i**2*o - 21904*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i - 8, -35447*g - i + 16 = -35453*g - 6*i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 30637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -9, -2\/3, 241768, 2\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 28 = 125. Calculate the remainder when n is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -21 (c) -19\/2 (d) -10 (e) -2 (f) 0.22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-3)*2\/(-6755). Let j = s + 137792\/20265. Find the common denominator of -55\/2 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0 (b) 2 (c) 106 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (19 + -11)\/(1 + 2 + -2) and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -3, 2\/5, 4\/7 in increasing order.\nAnswer: -3, -0.4, 2\/5, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7, -21, -41, -67, -99, -137?\n\"Answer: -3*v**2 - 5*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v**2 + 3*v - 1. Let x(t) = -t**2 + 1. Let s(a) = -u(a) + 3*x(a). Let i be s(3). Solve 0 = -o, 4*n + i = 3*o + 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 4:29 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.9 - -1.4. Which is the nearest to 0.1? (a) g (b) -0.4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 552 and 11408.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r + 236148 + 814552 = 0. What is r rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (18 - (8 - (13 - 6)))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/2 - 4659*z**2\/2 - 3306522*z.\nAnswer: 3*z*(z - 2452)*(z + 899)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - 2*b**2 + 2*b**2)*(-321*b + 425*b + 392*b + 192*b + 138*b).\nAnswer: 1652*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -8*b**3 + 1058*b**2 - 3144*b - 27090 = 0.\nAnswer: -15\/4, 7, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 3*i**2 + 5*i + 6. Let m be z(-4). Let a(b) = 239*b**2 + 14*b - 31. Let d be a(3). Is m\/6*(d - 5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16414*l = -16459*l + 97 + 38. Solve -5 = -9*t + 14*t + 5*y, 3*t + 3 = l*y for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/101, 75, 5, -1\/4, 3, -5 in descending order.\nAnswer: 75, 5, 3, -6\/101, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 7*x + 340. Suppose -52*n - 528 = -41*n. Let p be o(n). Factor 0 + 2\/19*m**p + 10\/19*m**2 + 8\/19*m**3 + 4\/19*m.\nAnswer: 2*m*(m + 1)**2*(m + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6105, -10484, -17785, -28008, -41153, -57220?\nAnswer: -76209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52861651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f*h**3*x**3 - 2*f*h**2 - 1275*h**3*x**3 + h**3*x**2 - 60*h**3*x wrt x?\nAnswer: 18*f*h**3 - 7650*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 205146870 and 341911450?\nAnswer: 1025734350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -2\/3, 33, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142233321 (base 6) to base 10.\nAnswer: -2912881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttgtggtggttgt. Give prob of picking 1 g and 1 t.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/307646 or 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) -1.19 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -5\/4, 3.9.\nAnswer: -5\/4, 3.9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 370\/4 - (-3)\/(-6). Let b be 0 + (-3 - -1) + 4. Suppose p + u = -b*i - 21, -84 = i - 5*p. Which is bigger: -60 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 999*x = 1008*x + 83070. Round x to the nearest one hundred.\nAnswer: -9200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1011 + -3?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 86671 to the power of 1\/2, to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21485 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 + -26. Let c = u + -4. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*v)*(4*v - 3*v - 3*v) + 19*v - 13*v**2 - 19*v.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22273547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/108*(-216)\/36\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 3*p + 2*p)*(9*p + p**2 - 9*p + (-p + 5*p - 2*p)*(-p - p + 0*p) - 3*p**2 + 0*p + 0*p) - 34*p**3 + 26*p**3 - 33*p**3.\nAnswer: -53*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30042 (base 5) to base 4.\nAnswer: -131221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 25*t + 260. Which is smaller: -11 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48880084?\nAnswer: 2, 11, 19, 59, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22.1 + -22. Let h = -2.93 - 0.07. What is the nearest to s in h, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168 and 54852?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -64.1 and 3.\nAnswer: -192.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1662*p + 1112*p + 814*p + (1 + 2 - 5)*(3*p + 3*p - 4*p)*(-2 - 6 + 4)*(-1 + 3 + 1) - 4*p + p + 2*p + (-4 + 4 - 1)*(2*p + 4*p - 4*p).\nAnswer: 309*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.13 - 0.1. Is u greater than -5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*((-13)\/6 - (-2)\/4). Let s = -8 - k. Solve p = a + s + 3, -3*p + 15 = 5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6*b - 30 = g, 4*b = 2*g + 36. Let d = g - -8. Let k(p) = 9*p**2 + 3*p + 5. Let r be k(d). What is the greatest common factor of 7 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13826.25909ns to weeks.\nAnswer: 0.000000000022860878125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.103 and 276238?\nAnswer: -304690.514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15\/23 (b) 1 (c) 0.5 (d) -0.2 (e) -4 (f) 9\/4 (g) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 13 - 6*u**2 - 3*u**2 + 7*u**2 - 8.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-1)\/(-8))\/((-27)\/(-18))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a. Let z(n) = 8*n**2 + 5*n + 14. Let s(x) = -7*x**2 - 4*x - 12. Let f(w) = -7*s(w) - 6*z(w). What is -f(j) - 5*r(j)?\nAnswer: -j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249698 is divided by 3110.\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 130 - -4?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4340 divided by 434\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n = -20*n + 32. Factor 1186 - 1186 - n*x**2 - 20*x + 4*x**3.\nAnswer: 4*x*(x - 5)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 21. Let m(z) = z**3 - 5*z**2 + 4*z + 3. Let o be m(4). Suppose 5*q = 4*g - 49, i = o*g - 0*q + 2*q. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 73b - -3?\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9a4 - 2?\nAnswer: 9a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -362 + -5?\nAnswer: -367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14074, 54033, 120630, 213865, 333738, 480249, 653398?\n\"Answer: 13319*y**2 + 2*y + 753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8406 + 8406 - 122*h**2 to o*h**2 + s*h + j and give o.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1284927860 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 141 = -9. Suppose 0 = 2*k + 5*x + 4, -5*k = -0*k - x - i. Let r(d) = 3*d + 4. Let g(o) = 2*o + 3. Calculate k*g(w) - 5*r(w).\nAnswer: w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**2 + 51350*j - 38643248 = 0?\nAnswer: 776, 24899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*l - 3*h - 201, 139 = 2*l - h. What is the units digit of l\/4 - (-2)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/2 and 19\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 1 - 5 = 0. Let n be ((-2)\/s)\/((-2)\/(-30)). Let o(k) = k + n - 2 + 0*k - k**2. Determine o(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -8*h - 121. Let d be s(-16). Solve k + d = 4*b - 0, -4*k + 2 = -b for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 12831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 22 = 5*g, -a + 4*a = -2*g + 14. Suppose t + 1 = g*u - 2, 0 = -3*u. Calculate the remainder when 32 is divided by -1 + (-75)\/(-5) + t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 6*p**2 - 10*p - 15. Let z be h(-7). Calculate the common denominator of -53\/22 and (z + -7)*(-11)\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/3*2\/4. Let a = 2 + p. Solve -a*l = -l - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 684504664 - -0.3.\nAnswer: 684504664.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087416739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -356 + -35?\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1330830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and 3538\/1075 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - (4 - 1)) + 4. Suppose 5*p = 20, -j - 24 = -r*j - 2*p. Suppose -4*u + 71 = 5*d - 115, 4*d = j*u - 204. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - (-1 + 22)) + (-19 - 0).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 b when four letters picked without replacement from rwwrwbrrrwrbwwwr?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - x**2 + x + 3. Let z be b(0). Suppose -z*c - 1 = -4. Let l be 1*((7 + -3 - 17) + -2). Which is bigger: l or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 288?\nAnswer: -28d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 154*z + 235*z + 94*z + 10*z.\nAnswer: 493*z - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2*z - 3 + (2 + 2*z - 2)*(-2 + 0 + 0) + (6*z + 15*z + 76*z)*(5 - 5 + 5).\nAnswer: 479*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 4*j + 4 = 0, 5*l + 9 = 7*j - 3*j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) 1 (b) -8 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w + 3. Let g(f) = 5*f**2 - 3*f - 3. Let r(x) = -11*x**2 + 7*x + 7. Let v(k) = 7*g(k) + 3*r(k). Calculate p(v(n)).\nAnswer: 2*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/8646 and -23\/108.\nAnswer: 155628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/7 (b) -0.05 (c) 2\/1873 (d) 0.04 (e) -1 (f) 353\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 12:58 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 11. Let l(k) = -k + 4. Let u be l(4). Suppose 5*w = 2*v - 3 + 12, -h*w + 3*v + 6 = u. Which is the closest to -1? (a) -1 (b) -0.2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 144251, 288500, 432749?\n\"Answer: 144249*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 998859 is divided by 1202?\nAnswer: 1199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxnxnmnxnmmx. What is prob of sequence nm?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 131, 562, 1637, 3686, 7039?\n\"Answer: 55*g**3 - 8*g**2 + 70*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + 2*c - 9, 0*c + 11*c = -9*r + 8*c + 63 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d - 8. Let o(s) = 654. Determine -6*n(w) - o(w).\nAnswer: 6*w - 606","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 7511\/2, 4 in descending order.\nAnswer: 7511\/2, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p + 59*p - 109*p + 52*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 7*t**6\/15 - 8*t**5\/5 - 17*t**4\/6 + 2*t**3 - 20*t. Factor d(l).\nAnswer: 2*l*(l - 3)*(l + 1)*(7*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 5*t + 5. Let l(q) = -q - 1. Let g be l(-6). Let i(r) = 2 + r - g + 2. Let b(o) = -5*i(o) - j(o). Let a(x) = x. Give b(a(f)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -12*w. Let l(m) = -23*m + 1. Let n(g) = 5*j(g) - 3*l(g). Let c(s) be the first derivative of -5*s**2\/2 + 2*s - 198. What is -7*c(r) - 4*n(r)?\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*-12*22\/1848?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 - 34. Suppose 0*f + i = 2*f. Suppose -56 = -5*o - b - b, 3*b = 3*o - 42. Calculate the highest common factor of f and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 39\/2*240\/72. Calculate the greatest common factor of 65 and a.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnggnng. Give prob of sequence ng.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 8, q: 1, t: 2, l: 4}. What is prob of picking 1 p and 1 q?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jy when two letters picked without replacement from {j: 1, h: 4, e: 1, y: 4}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -314*q = -382*q + 646884. Is q a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - -19 - (-204)\/21?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 1. Let g(s) be the first derivative of -s**3 + 4*s + 12. What is 5*g(w) - 20*x(w)?\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 4*x + 7 = 0, -2*x = -44*b + 50*b - 22 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 7*q - 11, 2*m + 108 = -5*q + 117 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -1044455\nAnswer: -1\/1044455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 62*b - 52*b - 270. Suppose 5*y = k - b, -y + 8 = -3*y. Solve 0 = k*f + 4 - 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - 283?\nAnswer: -27c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4394, 3, -0.1, 6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 26*y**2 - 72*y - 57. Calculate the smallest common multiple of 344 and q(-23).\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -10. Let w(t) = -a + 5 + 7*t + 1 - 5. Let u(v) = v. Let g(q) = 3*u(q) - w(q). Find the first derivative of g(j) wrt j.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*p + 301*p + 37*p = 8598262. What are the prime factors of p?\nAnswer: 157, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 469762598 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, c: 1, z: 4, f: 1}. What is prob of picking 2 i and 1 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8412485 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: Find the common denominator of -67\/60 and -25\/14937.\nAnswer: 298740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - u. Let c(j) = -j**3 + 4*j**2 - 4*j. Let i(d) = c(d) + 4*w(d). Let b be i(7). Let p = b + 12. What is p rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124888 is divided by 124830.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2 - 3*l + 3. Let g(t) = -4*t**2 + 4*t - 4. Give 5*g(m) + 6*n(m).\nAnswer: -2*m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11301, 11302, 11303, 11304?\nAnswer: 11305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + v = 5*z + 19, -5*v - 11 = -3*z. Sort 2, z, -5.\nAnswer: -5, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14042090, -28084180, -42126270, -56168360, -70210450?\nAnswer: -84252540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, -8.1, -5, 3\/1105?\nAnswer: -8.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/18 + 182\/3. Calculate the greatest common factor of 12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12411248*c + 24822465*c - 12411243*c.\nAnswer: -26*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -8*c**3 - 13*c**2 + 180*c + 89. Give i(-5).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1222?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9\/(54\/12) - -1130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 84420.923\nAnswer: -84417.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-14) + (0 - 95\/(-35)). Let k(x) = 4*x**2 + 7*x - 5. List the prime factors of k(b).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -331 + 311000110?\nAnswer: 310333113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/4*10\/(-5). Suppose 5*s = -y*c + 100, 2*c - 63 = -5*s + 37. Suppose 0*a + 5*a = s. Solve -o - a*o + 24 = w, 5*w + 20 = 3*o for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**5\/t**9)**17)**(-1\/39) assuming t is positive.\nAnswer: t**(68\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a decade?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + 15 + -10 - (16 - -17).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 + 434 + 1116 - 1395.\nAnswer: 2*s**2 + 155","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 597 + 151 = 0. Let m = -195 - o. List the prime factors of m.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1351 + -30?\nAnswer: -1381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 11:50 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -6*h - 3 + 2 + h**2 + 7*h. Suppose 0 = -2*f - f - 9. Let i(m) = -2*m**2 - 2*m + 2. Determine f*i(l) - 7*n(l).\nAnswer: -l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s - 28. Let z be f(-18). Suppose -n = -2*g - 8, 0*n + 3*n - z = 2*g. What is the first derivative of 5 - 17*x + 1 + 3*x + n wrt x?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a + 32175140 + 17*a - 2*a - 32175140.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - 6*z**2 - 8*z**2)*(-1 + z + 1)*(-2 - 1 + 0).\nAnswer: 36*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*t)*(5*t - 5*t - 7*t**2)*(-2*t - 2 + 2) to the form x*t**4 + i*t**3 + a*t + y + s*t**2 and give x.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 623195?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2837 - 2861 = 154*l for l.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 - -7) + 1 - (-17375)\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-35)\/20 - 88\/32.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 111.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4041*g**2 + 21*g**3 + 4041*g**2.\nAnswer: 21*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v - 2. Let k be x(-11). Let c = -200 + 222. What is the remainder when (-13)\/(-2 - k\/(-5)) is divided by c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (((-110)\/10)\/22)\/(1\/(-58)). Suppose 0*n - n + 1 = 0. Let v be 1 + -2 + (2 - n). Solve 4*d + 17 = -z, -4*z - 3*d = -v*d + u for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107968173.\nAnswer: 3, 17, 359, 5897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, a: 1, d: 2, e: 1, b: 2, j: 1}. Give prob of picking 1 j and 2 b.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from iqqfqfiqfqfqqfqifqi?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43442, 87477, 131512, 175547, 219582, 263617?\nAnswer: 307652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 699 = 3*s, 7*y = 2*y + 10. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1678248 divided by -5379?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 119*y**4 + 2*y**3 + 4*y**2 + 892*y. Let m(k) = -2*k**4 - k**3 - k**2 - 3*k. Let g(u) = 2*m(u) + p(u). Find the second derivative of g(j) wrt j.\nAnswer: 1380*j**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 41 = -m, 4*m - m + 4*w - 123 = 0. Let v = m - 21. Suppose 2*s + v = 7*s. Solve -n + 4 = r + 5, -r = -2*n + s for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-90)\/(-24))\/15)\/((-15)\/(-260))?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3397*n - 3058*n + 8982*n + 5 - 5 in the form l*n + v and give l.\nAnswer: 2527","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwswwzlll. Give prob of sequence lss.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 19321342?\nAnswer: 38642684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 35971739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 15*d + 105 = 0. Put -2\/5, d, 10 in descending order.\nAnswer: 10, d, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, -5, 2\/49, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 186*a - 5. Let c be 16\/(-6)*36\/(-16). Is k(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(187) - (2*sqrt(187) - sqrt(187) - sqrt(187) - sqrt(187))))\/(sqrt(11) + -1*sqrt(1584)).\nAnswer: 10*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20a78 (base 15) to base 16.\nAnswer: -194bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/14, -2.3, 3\/4.\nAnswer: -2.3, 1\/14, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5*h = -41, 4*c - 3*h - 14 = 2*h. Solve 0 = 31*q - 20*q - c for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39616283.\nAnswer: 7, 5659469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(24)\/((sqrt(252)\/sqrt(7))\/sqrt(3)))**2 - -3*((sqrt(2) - (-5 + sqrt(32)))*4)**2)*-1.\nAnswer: -2072 + 1440*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35930.\nAnswer: 2, 5, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 296\/(-24) + 9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 12:59 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/2140 and 49\/30.\nAnswer: 6420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8710734.\nAnswer: 2, 3, 137, 10597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 1. Solve -2*y = 3*i - 10, -w*y + 15 = i + 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 383830344.\nAnswer: 2, 3, 31, 383, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 165 = g - 9*p, -174 = -g - 2*p. Solve -2*k = -4, 0 = -3*j - 167*k + g*k - 23 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(833)*1 + sqrt(833) + 1 + 0)*-1.\nAnswer: -14*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 199 + -86. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**3 - x**2 - x + 2. Let r be n(-2). Let i = -4 + r. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -v**9\/15120 + 11*v**5\/30 - 2*v**2. Let i(g) be the third derivative of k(g). Suppose i(b) = 0. Calculate b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 196 - 193. Suppose 0 = -y*j + 8*j - 10, -4*q - 4*j + 1224 = 0. Calculate the greatest common factor of q and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4015, -4743, -5471, -6199, -6927, -7655?\n\"Answer: -728*m - 3287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/4958370 and -103\/54.\nAnswer: 14875110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5877818?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 162212 - -13?\nAnswer: 162225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, w: 3, u: 1, v: 1}. What is prob of sequence vl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71232 divided by 742.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 times 14?\nAnswer: -546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9587217 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 1:37 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 16352000 to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3028, 6294, 9784, 13492, 17412?\n\"Answer: -a**3 + 118*a**2 + 2919*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 9 = 0, -q + 6*h + 19 = -34 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-28))\/(680\/65450).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 9 (c) 7\/6 (d) 4 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37750, 75670, 113590, 151510, 189430?\nAnswer: 227350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -65663133 divided by 21887711?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 2*t + 60. Solve -3*d + 0*d = s - 6, 0 = 3*s - 5*d + t for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16042150 by 5.\nAnswer: -3208430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w - f - 8, -187*w + 184*w - 5*f - 12 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(4\/3)*m**18*m)\/(((m**(4\/15)\/m)\/m)\/m*m**(-11)) assuming m is positive.\nAnswer: m**(511\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3434 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -9*l - 194. Let i be p(-23). Let z(g) = 8*g - 76. What is the least common multiple of z(i) and 18?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2079 > 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/10)\/(-22 + (-28026)\/(-1260)). Put z, 2\/9, 3\/2 in decreasing order.\nAnswer: z, 3\/2, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7469 and 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22636, -22494, -22264, -21952, -21564, -21106, -20584?\nAnswer: -20004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4782276?\nAnswer: 2, 3, 71, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/y**6)*(y\/(y*(y\/(y*y**(-11\/2)))\/y))\/y*(y**(4\/11))**(1\/9) assuming y is positive.\nAnswer: y**(107\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 646*r - 25195. Calculate k(-43).\nAnswer: 734","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) - (sqrt(275) + 1))*-4 - (sqrt(704)*-1 - ((sqrt(176) + 2 + sqrt(176))**2 - sqrt(176))).\nAnswer: 36*sqrt(11) + 712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3378332921 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.28 - 0.38. Let l be (2\/5)\/(35\/(-25)). Let y = -1873 - -1868. What is the second smallest value in y, 0.2, n, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -92.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5875 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -417.7912 to the nearest 10.\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -86 + 85.9. Let p be 1\/(-4) + (-15)\/4. Which is the second smallest value? (a) z (b) p (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccjkckjjj. What is prob of sequence kjj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 110684284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*h**3 + 549*h - 32*h**3 - 549*h.\nAnswer: -53*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8913628 months in millennia?\nAnswer: 0.0002409469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - (-2)\/(-1)) + -1. Sort -2, m, -3 in decreasing order.\nAnswer: m, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence es when two letters picked without replacement from sxee?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2 + (7 - 4 - 1)*(0 + 3 - 4))*(15*q**2 - 5*q**2 + 3*q**2).\nAnswer: -52*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 0 - 1)*(1 + 1 - 1) - 69 + 54 + 37 + (-97 + 38 + 34)*(-1 + 3 - 4))*(-5*r**2 + 5*r**2 - r**2) to the form y*r**2 + b*r + x and give y.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n - 4*d + 19, -286*d = -n - 282*d - 13 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7.376454 months?\nAnswer: 0.006147045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 73\/8 (b) 3 (c) 1.1 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2 = 2*o, -3*p + o + 4*o + 6 = 0. Suppose 28 = 2*r + p*r. Solve -2*m = -2*v - 4, 5*v = -2*m + 4*v + r for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 13*c**2\/2 - c + 687. Let m(j) = 11*j**2. Calculate f(m(n)).\nAnswer: 143*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + -2*12\/(-8). Suppose -g*n + 0*n + 49 = 2*u, -2*u = -n - 29. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/9))**(1\/29)*(r**(-1\/3)\/r)**(-6\/13))\/((r\/(r*r*r**(-9)))\/r*(r**0*r)\/r)**(-6\/11) assuming r is positive.\nAnswer: r**(165760\/37323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/4 in -4, 3\/7, 2\/9?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 123 divided by 31\nAnswer: 123\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 9 + -9 + (-5 - -15).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2884080)\/(-28560) + (-2 - 99)\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 24 = -l, -4*l = 3*q - 7*q + 36. Let k = q + -1. Suppose 4*m = 5*p + 2*m - 113, p - 37 = k*m. What is the remainder when p is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 501623362?\nAnswer: 2, 2633, 95257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 718 = 5*k - 114, 2*d - k = 398. Calculate the remainder when 268 is divided by d.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348 is divided by 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 18508 divided by -661?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, o: 1, l: 2, s: 2}. What is prob of picking 2 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 10122892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 491006.131 rounded to the nearest 10?\nAnswer: 491010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - -5 - -2 - (-62 - -47).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -30d + -63d?\nAnswer: -94c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 2296 divide 116252678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4*o - 2*o + 106 = 0, 4*o - 100 = 5*j. Let t(y) = 42*y**2 + 2*y + 1. What is the remainder when t(-1) is divided by j\/(-2) + 10\/5?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddd. What is prob of sequence dd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**3\/3 + v - 1. Let w be (-2)\/9 - (-26 - 5302\/(-198)). Let k(g) = 2*g**3 - 4*g**2 - 6. Give w*k(s) - 4*y(s).\nAnswer: -2*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4207672 divided by 3178?\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/9 and 49\/27045.\nAnswer: 27045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 9547*t + 23642650*t**2 - 23642650*t**2 + 2*t**3 in the form u*t + n*t**2 + v + b*t**3 and give u.\nAnswer: 9547","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96738291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 3*a = 3*i - 426, 2*a + 3*i = 216. Calculate the remainder when a is divided by 71.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 117, 6600, -5 in ascending order.\nAnswer: -5, 117, 6600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (34\/(-99))\/(48\/180) and -67\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 964 - 5?\nAnswer: 95e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in months?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 163*f**3 + f**2 - 2*f + 1. Is a(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 - 50*z**2 + 9*z + 28. Let o be v(-25). Let w = -195 - o. Solve -2*l - w*l + 12 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/p**7)\/(p\/p**(-3\/5))*p\/p**(-2\/11)*p**10\/p)**(-1\/4) assuming p is positive.\nAnswer: p**(-197\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8662 is divided by 5624?\nAnswer: 3038","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -1, -5 in decreasing order.\nAnswer: -1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**7\/21 - 8*i**6\/15 + i**5\/2 + 19*i**4\/3 + 8*i**3 + 1970*i. Solve o(h) = 0 for h.\nAnswer: -1, 0, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2. Suppose 2*n - 2 = -0*n - i, 2*n - 3*i = 10. Let g(m) = 7*m**2 - n*m**2 + 0*m**2 + m**2. Calculate g(p(x)).\nAnswer: 24*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1, 23, 0, -2\/15 in ascending order.\nAnswer: -0.4, -2\/15, 0, 1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*u + u + 781 - u**2 - 5*u**3 + u**4 + u - 785 to b*u + o*u**4 + y + r*u**3 + z*u**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 - 4*v - 4. Let a be u(-1). Put 11, 0.4, 0.3, a in increasing order.\nAnswer: a, 0.3, 0.4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - u = 3*u - 46, n = -2*u + 2. Let q be n\/(9\/(-3)) + -2. Suppose -y - 2*l + 8 = q, -4*l = -3*y - 2*l + 64. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 6:23 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 1100?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -3e7?\nAnswer: -3e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -72*w - 3579. Calculate the remainder when 283 is divided by g(-50).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -9*o**2 + 33*o - 24. Let h be l(3). Let c(v) = v**3 + 5*v**2 - 6*v - 2. What is c(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1820.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 7:32 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -391*o = -1163*o + 6176 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 219 - 215. Put -72, 3, l in decreasing order.\nAnswer: l, 3, -72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*f**2 + 6*f - 3*f + 10*f**2)*(-f + 2*f - 5*f) to u*f**2 + q*f**3 + c + p*f and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 (base 10) in base 9?\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-54)*(-3)\/(-4)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 25 = 4*s. Let o be (-29)\/s + 8\/10. Which is bigger: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b**2 + 6. Let l(y) = 3*y + 9. Let v be l(-4). Let n(s) = -11*s**2 - s + 17. Let c(z) = v*n(z) + 8*g(z). Calculate c(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 7:48 AM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r - 1. Let v be d(-2). Let f(o) = -o**2 - 5. Let c(q) = 3. What is v*c(p) + 3*f(p)?\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 493347 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 59 - 7. Let k = u - -15. Find the second derivative of 2*y**k + 11 + 6*y - 11 wrt y.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*((f**(-1)\/f)\/f)\/f)*f)\/f**(1\/2))\/(f\/(f**(2\/3)*f))**(-44)*(f*f**(-2\/31)\/f*f**7)\/((f*f**1)\/(f**(-5)*f)) assuming f is positive.\nAnswer: f**(-4445\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -104 - -114. Suppose i*s = 224 + 6. Solve s = -3*c - 2*y, -13 = -c + 2*c + 2*y for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3717, -7440, -11163, -14886?\n\"Answer: -3723*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 3)*3\/(-6). Let m be (l\/(-2))\/(2\/(-96)). Let i = m + 24. Put -5, 1, i in descending order.\nAnswer: 1, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1574916 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**3 + 38*n**2 - 718*n + 859. Calculate u(-31).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4846.5 - -4848. Let o be (-10)\/6 + 1 + 0. What is the second smallest value in p, o, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 571250 a multiple of 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-69)\/(-14) + 1\/2 and (-6)\/14 - (-513)\/420*6?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -15*u + 3. Let c(t) = t. What is -2*c(p) + q(p)?\nAnswer: -17*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41\/33 + 4\/3. Let r = 0.1 + -0.2. What is the nearest to r in k, -2\/7, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -567*n**2 + 7*n - 21. Let i(u) = -569*u**2 + 6*u - 18. Give -6*h(f) + 7*i(f).\nAnswer: -581*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131, 511, 1083, 1799, 2611, 3471?\nAnswer: 4331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4667 * -0.04\nAnswer: 186.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 - -39. Let c = v + -15. Suppose -k - 2*n + 3 + 1 = c, 5*k + 5*n = 35. What is the highest common divisor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r - 4. Let m be w(-7). Let q(c) = -1. Let s(j) = j - 7. Let a(h) = 4*q(h) - s(h). Let p be a(3). Solve p = g - o, 2*g - 16 = -m*g - 3*o for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h**2 - 35*h + 95. What is the remainder when 414 is divided by g(3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) 2 (c) 1\/3 (d) -0.4 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.1 - -3.3. Which is the closest to 0.2? (a) -3\/7 (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y**2 + 3*y + 2. Let k be u(-1). Let n = 2.9262 + 0.0738. Which is the second biggest value? (a) -0.1 (b) n (c) k (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11697795 a multiple of 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 184*i + 21 = 185*i, 3*i + 145 = -5*z for z.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6\/5*v**3 + 3\/5*v**2 - 3*v + 6\/5 = 0 for v.\nAnswer: -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14619 by -1.\nAnswer: -14619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2570204 and 607936?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = -5*u - h, 5*u + 30 = 4*u - 5*h. Suppose -2*a - 57 - 31 = 0. Let p = u - a. What is p rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7498668.\nAnswer: 2, 3, 179, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (47824\/(-42))\/(3\/(-9)) + 40\/(-10) is divided by 681.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37\/24880759 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, d: 7, j: 2}. What is prob of picking 3 d and 1 r?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 523.71 + -527. Let k = z + -0.81. Let h = k + 4. Which is greater: h or -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1262726 to the power of 1\/2, to the nearest integer?\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 2*u**2 - 2*u + 3. Let p be j(3). Let d = -182 + 197. What is the greatest common factor of p and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 180 and 460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45*f**4 - 58 + 3332*f - 3331*f + 6*f**3 - 7*f**3 wrt f.\nAnswer: 540*f**2 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -451 - -0.1.\nAnswer: -450.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19654403107\/6316575 + -40\/252663. Let n = -3111 + u. Is n at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 - 2*o**3 + 0*o**3)*(-3*o - 4*o + 2*o) - o**4 + 2*o**4 + 2*o**4 + (-26*o**2 + 7*o**3 + 26*o**2)*(-5*o + 3*o + 0*o).\nAnswer: -6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -17 - 67. Solve -17*v + 10*v - h = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50382 and 9.\nAnswer: 50382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5*d + 6. Let v be (-30)\/(-9) - 1\/3. Suppose -n = -v*n + 2. Let r(h) = h - 1. Determine n*a(i) + 6*r(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 10:59 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j = 8*j + 18. Suppose 3*c - j - 9 = 0. Is -1954*1\/c*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2797, -2507, -2031, -1375, -545, 453?\n\"Answer: -g**3 + 99*g**2 - 2895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 0.4, -36 in descending order.\nAnswer: 0.4, -1\/6, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 12, g: 6}. Give prob of picking 2 g.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 166\/11 or -1.4?\nAnswer: 166\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 3:26 AM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 111689 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqv when three letters picked without replacement from vxxqvqcxqcqcqqc?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**2\/5 + 752*b\/5 - 7280 = 0.\nAnswer: 52, 700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39232 - 39226. Let h(p) be the second derivative of 7\/2*p**3 - 36*p + g*p**2 - 3\/20*p**5 + 0 + 1\/2*p**4. Factor h(x).\nAnswer: -3*(x - 4)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0155323 rounded to three dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 2*k**2 - 2*k + 2. Let x = 3 - 6. Let a be 0\/4 + (x - 0). Let u be h(a). Which is smaller: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 414 and 25823484?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5204277 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 2)*(-o + 4 - 4) + (-1 + 5 + 1)*(-9*o + 5*o - 15*o) - 10*o + 9 - 9 - 3 + 3 - 2*o + (-2*o + o - o)*(1 - 2 + 2) to k + z*o and give z.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -300178292 bigger than -300178292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 + 0*v**2 + 0*v**2 + (3*v + v - 2*v)*(2*v**2 + 0*v**2 + 0*v**2) + (-3*v + 2*v + 2*v)*(-11*v**2 + 0*v**2 + 0*v**2) + (0*v + v + 0*v)*(1 - 1 - v**2).\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 3*t + 9 = 0, -h + 0*h + 3*t = -9 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*x - 343 = 0, 0 = 309*q - 308*q + 2*x - 174. Calculate the remainder when q is divided by 26.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -559 + 671. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -6*m**3 - 225*m - 224. Let q be k(-1). Solve 41 - 34 = -q*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1646 = 1858*z - 140996 for z.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1271105.\nAnswer: 5, 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3429.2248 + 253.8692. Let j = -3687 + l. Let b = j + 0.006. Round b to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/3 (b) -1\/127 (c) 0 (d) -3\/8 (e) -32\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19310, 19257, 19206, 19157, 19110?\nAnswer: 19065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.241 + 0.221. Let y = -0.08 + r. What is the closest to -7 in 1, y, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 20 = u - 9*l, -2*u + l = 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 2*r**2 + 700. What are the prime factors of j(0)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/16)\/(27\/2052)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7823209*l**2\/4 - 2797*l - 1.\nAnswer: -(2797*l + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of h**3\/6 + 5*h**2 - 4*h. Let x be s(-7). What is the greatest common factor of x and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26174?\nAnswer: 2, 23, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 9*k**2 + 9*k - 8. Let v be q(8). Suppose 6*w + v*w = 60. What is the smallest common multiple of 12 and w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -1 + 16. Let f = k + 25. Suppose 5*j - 12 = f. Solve 0 = 4*i - 5*y - j, 5*i + 18 = -3*y - 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**8\/3 + 311*g**7\/210 - 259*g**6\/120 + 31*g**5\/60 + 31*g**4\/24 - g**3\/3 + 219*g**2. Solve u(w) = 0.\nAnswer: -2\/7, 1\/16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2309.\nAnswer: 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g - 112 + 4*g + 212 - 104 + 3*g**2. Let i be r(-7). Suppose -18*u + 12*u + i = 0. Solve -5*b = -4*a - u - 6, 2*a = 4*b - 18 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**14*d\/(d\/d**(3\/5)))**(2\/3) assuming d is positive.\nAnswer: d**(166\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2 + 1 - 8 - 2*d - 3. Let y be q(-12). Suppose -u - 3*g = -y, 5*u - 3*g - 12 = 2*u. Calculate the least common multiple of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-2*(sqrt(7) + 0) - ((1 + sqrt(7))**2*-3 + sqrt(7))) + sqrt(847) + sqrt(847)*-2 + sqrt(847) + 1*sqrt(1008) + sqrt(1008) + 5).\nAnswer: 116 + 108*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 39*h = -25*h - 315739. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104236.58 rounded to the nearest 1000?\nAnswer: -104000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -960 = -10*v + 210. What is the remainder when v is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*f + 2*f + 15*f)*(261 + 29*f - 261).\nAnswer: 1044*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5532314 is divided by 231?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 11) to base 6\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = f - 25. Suppose -4*w - w = f. Which is greater: w or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of z**6 + 896873*z**5 - 4941634*z**2.\nAnswer: 120*z**3 + 53812380*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11440 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5536276 and 3?\nAnswer: 16608828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4291949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -80312*j - 14295540. Calculate x(-178).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 6*s. Let p = 67 + -65. Suppose 0 = -c, -c - 49 = m + p*c. Let g = 47 + m. Determine t(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 plus -29004381.9?\nAnswer: -29004389.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x - 56. Let s(h) = -7. Let f(r) = 6*c(r) - 51*s(r). What is the units digit of f(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o + 5*o**3)*(-23*o - 5*o**2 - 21*o + 42*o + 2).\nAnswer: -25*o**5 - 10*o**4 + 10*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8325545 by 1665109.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 76718\/3 - 25573. What is the fifth biggest value in a, -2\/5, 140, -0.3, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, v: 9, f: 4}. Give prob of picking 2 d and 1 f.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 4*i - 8, 7*i + 3*r - 9 = 4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2 + 6 - 59*l**3 - 7*l + 114*l**3 - 54*l**3 + 3. Let f be c(4). Solve -1 + f = 4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/5 of a litre?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) 21\/20 (c) -1\/3 (d) -2\/3 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 n when three letters picked without replacement from nttittitiitinintitt.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 3*n**2 + n - 24. Calculate c(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -21*u + 1. Let o(b) = -42*b + 2. Let w be (10 - -2) + (-10)\/10. Let t(p) = w*m(p) - 6*o(p). What are the prime factors of t(2)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 433 (b) 0.5 (c) -2 (d) 19 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*f + 2*r, -3*f - 3 = -f + 5*r. Suppose -16 = 4*c - 0. Let v be 0\/2 + c\/(-2). Calculate the greatest common divisor of f and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -508, 8, -3, -0.4 in decreasing order.\nAnswer: 8, -0.4, -3, -508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of x**3 - 2061*x**2\/2 + 2058*x + 1299. Solve r(v) = 0 for v.\nAnswer: 1, 686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**6\/30 + o**5\/10 - o**3\/3 + o**2\/2 - o. Solve b(q) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112 divided by -28.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 135 = 5*l, 2*l + 39 = u - 2*l. Let f = u + -17. Find i, given that -553*i**2 + i**3 - i**3 - 3*i + f*i**4 + 3*i**5 + 547*i**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12125 is divided by 862.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*n = 57662 - 55806 for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -10*g - 13. Let b be u(-13). Let d = 120 - b. Suppose -4*a + 2 + 38 = 0. What is the least common multiple of d and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 8669\/27116?\nAnswer: 8669\/27116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -5, -309, -60563?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 15) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 113*l**3 - 7*l**2 - l - 24. Let d(f) = -112*f**3 + 6*f**2 + 2*f + 20. Determine 6*d(b) + 5*i(b).\nAnswer: -107*b**3 + b**2 + 7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -752 - -1061. Calculate the highest common factor of j and 206.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22331 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 2)*(0*n**2 + 0*n**2 - n**2) + (0*n**2 + 0*n**2 - n**2)*(0 + 0 - 2).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.103602 + 0.5266784.\nAnswer: 0.6302804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -312.4952.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 0.2 (c) -17\/6 (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*h - 62*h - 23*h - 69*h + 10*h.\nAnswer: -115*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2608 - 2606. Solve -i*q + n + 8 = 0, -2*n - 131 + 135 = q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1725 divided by -575.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1625 + 1626. Let z(d) = -d. Let u(k) = k**3 - 7*k**2 + 8*k - 9. Let r be u(6). Let j(n) = 0 - 4 + r. Calculate a*z(y) + 2*j(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -637553263*j**3 + 0*j + j + 637553264*j**3 - j.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 97 + -93. Put d, -3, 1 in increasing order.\nAnswer: -3, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24819, 49685, 74551?\n\"Answer: 24866*r - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/180 and -101\/5235180?\nAnswer: 15705540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -64*o**5\/5 - 3*o**4\/4 - o**3\/3 - 4416*o - 6975. Differentiate b(a) with respect to a.\nAnswer: -256*a**3 - 9*a**2 - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7126 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/740 and -11\/518?\nAnswer: 5180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 20 = 0, -4*b - 6*l - 9 = -l. Suppose -8696 = -b*f + 2*g - 24300, -5*f = 2*g + 19496. What is f rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three sixths of a decade?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2622.1 times -2.44\nAnswer: -6397.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1177 (base 14) to base 4.\nAnswer: 233211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -60*i + 25. Let h be 48\/22 - ((-56)\/44)\/(-7). Let s(q) = -5*q + 2. What is h*l(w) - 25*s(w)?\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 15 = 13. Solve -2*m - x = 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41624700 divided by -5\nAnswer: 8324940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5601 and 78494281.\nAnswer: 1867","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 = 5*i + 5*z, -3*z - 74 = -2*i - 4*z. Suppose -i = -n + 4. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from lllklkl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*b - 48888 = -148*b - 248*b - 173*b for b.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 300.724 - -3.336. Let p = -304 + h. Let d be 1 + 1*-2 - 0. What is the nearest to p in 0.5, -0.5, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 5*w + 4, -6 = -0*w + w + 3*h. Suppose w = 4*x + 105 + 131. Suppose 2*b = 43*u - 46*u - 124, 0 = 3*b - 4*u + 169. Is b less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 788 - 777. Suppose 65803 = 34*y - z*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-3)\/24*-4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 343 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(((s\/(s**0\/s)*s)\/s)\/s)*s)\/(((s*s**(-1))\/s*s)\/s)*s**(-5)\/s*s**(-5))**6)**(-37) assuming s is positive.\nAnswer: s**1998","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*x**2 - x + x**2 + x to q*x + y*x**2 + h and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + sqrt(98) + 1.\nAnswer: -6 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -309650*o**2 - 242*o**3 + 309650*o**2.\nAnswer: -242*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5*t + 3. Calculate i(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(11) - sqrt(44)\/sqrt(4) - sqrt(11)) + -2*sqrt(55)\/sqrt(5) + -1.\nAnswer: -3*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -10*a. Let d(r) = -7*r + 4*r + 3*r + r. What is d(z(v))?\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1644, 1633, 1610, 1569, 1504?\nAnswer: 1409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16374 by 8.\nAnswer: -8187\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 13 + -5)*-5*(-12)\/(-150).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7878 = 2*t - 32344. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 12\/5 (c) 9\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 240, -0.5, 7, -3 in decreasing order.\nAnswer: 240, 7, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 4*s**2 + 5*s - 1. Is y(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 229*u - 4*u**4 + 1 - 228*u - 2*u**3 + 6*u**4 in the form a*u + c + f*u**4 + p*u**2 + z*u**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 150?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - v - 8 = -5*v, 0 = 5*v. Suppose -k = -2*d - 2*h, 4*d - 2*h - 21 = 7. Solve o - 5*a - 15 = 0, -d*o + 3*o = -3*a - 21 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 150*n*q**6 + 2*n*q**2 + 41*n*q wrt q.\nAnswer: 18000*n*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 6 = 2*l, 0 = z - 5*z - 5*l - 15 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5990.546 years to months.\nAnswer: 71886.552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5 = -0. Suppose -r*a = 4*v + 4 + 11, -a = -1. Let x = -2 - v. Solve x*k = -3 + 15 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/((r*r*r**(-5)\/r)\/r))\/r)\/(r*r\/r**1*r*r)*(r\/(r\/r**1*r*r))**(-21\/4))\/((r**0)**31*(r**5\/r)\/(r\/r**(1\/14))) assuming r is positive.\nAnswer: r**(117\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 123 = 39. Let z be ((-180)\/g)\/(-6) - (1 + 0). Suppose 4*x - q + 0*q = 3, 3*q = 4*x + 7. Sort x, -1\/5, z.\nAnswer: z, -1\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*g - 371 = 2001 + 739 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*h - 0*h. Let g(z) = -20*z**3 + 23*z - 14. Let i(u) = 7*u**3 - 8*u + 5. Give h*g(l) + 17*i(l).\nAnswer: -l**3 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*f**3 + 6615*f**2 + 583443*f + 85766121\/5 = 0.\nAnswer: -441\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98 and 5243?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1993 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5253 + 8219. List the prime factors of f.\nAnswer: 2, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 64*k - 61*k = 114, -5*n = -3*k - 129. Solve 5*p - 3*j = n, 3*p + 44*j + 3 = 41*j for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(-4)*t*t))**0*t\/(t**(-1)*t)*t*t*t\/(t\/t**(2\/7))*t*t assuming t is positive.\nAnswer: t**(37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-40))\/(l*l**(-8\/9)) assuming l is positive.\nAnswer: l**(-352\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - s = 30, -4*c - 3*s + 47 - 9 = 0. Let w be (0\/(-1))\/(1 + 0). Suppose 3 = -v - 5*t + c, v + 4*t - 3 = w. Put -4, v, 2 in decreasing order.\nAnswer: 2, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {m: 1, d: 1, w: 11, a: 4}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 35 = 30. Let m = -14 - -9. Let b be 1\/m*25\/(-40). Does f = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -18, 1\/85, 12, -0.1?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6*(10\/25)\/((-66)\/(-30))\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8766943 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -556 divided by -4\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-4)*(-8)\/(-3). Let t be (-2)\/(-6)*(-2 + 56). Solve 3*x - x + w = 3*p, 2*x + t = -4*p for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-42)\/15 - (3 + -3)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 49725 = 55*x. List the prime factors of x.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/3577 and -95\/98?\nAnswer: 7154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/2*8\/(-3). Suppose -5 - 4 = -3*s. Suppose s*q - q = 0, t*i + q = 12. Which is the nearest to -1? (a) i (b) 2\/9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 + -41.9. Let k = i - 1.1. Let y = -0.246 - 0.054. Sort 0, k, -0.2, y in decreasing order.\nAnswer: k, 0, -0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17 or 287\/18?\nAnswer: 287\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/203268 and 7\/85575828?\nAnswer: 85575828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wcyvlylcyvcvcvwl. Give prob of sequence vv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d**3 + 46 - 46.\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2234110234 + -4?\nAnswer: -2234110243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 + 2 + 11 + -64.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o. Let g be x(-3). Suppose 2*n + f = 13, -n + g = -f + 5*f. Let s = 6331 - 6326. What is the lowest common multiple of n and s?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21913140*q**2 + 406609499*q wrt q?\nAnswer: -43826280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.29588254 rounded to 3 dps?\nAnswer: -7.296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in twenty-nine fifths of a second?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**3*w*x + 37*b**3*x**2*y + 3*b**2*w*x + 13*b*w*x**2*y - 24*b*w*x - 8*b*x**2*y + w*x*y - 5*x*y wrt x.\nAnswer: 74*b**3*y + 26*b*w*y - 16*b*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (567\/(-14))\/9*30\/111600*62.\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3*a**3\/4 - 33*a**2\/4 + 57*a\/4 - 27\/4 = 0.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 0, 1\/10, -1\/3499, -4 in increasing order.\nAnswer: -4, -0.04, -1\/3499, 0, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = o - 5*o + 30, 25 = 3*o + 5*p. Suppose 2*q = o*f - 835, -2*q = f + 21 - 176. What are the prime factors of f?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-2 - 3*-1). Calculate the remainder when 3\/o*(-410)\/(-15) is divided by (-28)\/(-4) + 4 - -3.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1824 and 5856.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/(4\/(-8))*6*247\/(-156)\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*64\/48*(-5)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -66086*t**3*v**3*w**3 + 2*t**3*v**2*w**2 + 123567*t**3*v*w**2 + 45*t**2*v**3 + 22*t*v*w**3 wrt v?\nAnswer: -396516*t**3*w**3 + 270*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -521\/5 or -104?\nAnswer: -521\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 4:07 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -3503 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/2 (b) 28 (c) 3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15831204\/25 or -633247?\nAnswer: -15831204\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 621 and 6486.\nAnswer: 58374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7684*j + 7682*j - 2 = -2*f, -2*j - 2 = 5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 167 = -5*f + 68, -3*f = 5*q - 133. Suppose q = g + h, -67 = -3*g - 4*h + 15. Suppose 4*o = 2 + 6. Calculate the least common multiple of g and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, z: 3, o: 9, v: 2}. Give prob of sequence oaz.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18003?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-1)\/1))\/(13\/39).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (((sqrt(1584)*4 - sqrt(1584)) + 4)*-5)**2)*1.\nAnswer: 7200*sqrt(11) + 356801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3333100200 + 11?\nAnswer: -3333100123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2*b - 1)*(155*b**2 + 159*b**2 + 35 - 310*b**2) to the form f + u*b + s*b**3 + q*b**2 and give u.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6283105?\nAnswer: 5, 1256621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -4*o - 0*o - 3*f, -2*f + 10 = 0. Suppose -z = -4*a - 14 - 6, 0 = -4*z + a + 50. Solve -5*m + 3*l - z = 0, -3*l + 3 = 5*m - o for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + k + 0*k + 8*k)*((-6 + 6 + 7*k)*(-3 - 9 + 6) + k - 2*k - k)*(-k + k + 2*k) + (-4 + 4 - k**2)*(1 - 1 - 2*k) - 4*k**3 + 5*k**3 + 0*k**3.\nAnswer: -789*k**3 - 88*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.54 + 1.84. Let r = o - -14. What is r rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-164)\/205 + 22\/40. Let g = 4 + -3.8. Let f = g - -0.1. Is c at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-2) + (5 - (-3 - 10)). Suppose -7*z + 195 = -y*z. Let s be (-148)\/(-3) - 10\/z. Calculate the greatest common divisor of s and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 5*c - 19276, j = -9*c + 12*c + 9649. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f - 70?\nAnswer: -7f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pj when two letters picked without replacement from fjpffffff?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12244*f - 5*z + 12 = 12243*f, 0 = -4*f + 5*z - 78 for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 113775925*z**5 + 147207491*z wrt z.\nAnswer: 2275518500*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**5 + x**4 - x**3 + x**2 - x - 1. Let n(f) = -3*f**5 - 3*f**4 + 2*f**3 - 6*f**2 + 5*f + 5. Let i(b) = -12*g(b) - 3*n(b). Factor i(m).\nAnswer: -3*(m - 1)**2*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3*(6\/(-20))\/(242\/605)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 4:32 PM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -2, -0.3, 0, -808?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.4394263 to 3 dps.\nAnswer: 3.439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**2 + 2*l + 1. Suppose 493*x - 491*x = 12. Let o(r) = -4*r**2 - 3*r - 2. Calculate x*m(a) + 4*o(a).\nAnswer: 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/4 + 220\/8. Suppose -d = w + 3, 2*w + 10 = 4*d + g. Is 2 a factor of 75\/10 - w\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*i - 10513 = -47*i + 5*b, -4*i = -4*b - 10516. What is the thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 - -14. Let p = 32 + a. Suppose 2*t - v + 6*v - 52 = p, 2*t = -2*v + 64. Calculate the remainder when t is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 6*k**2 + 6. Let w be i(-6). Let b(n) = -n**2 + 7*n - 4. Let u be b(w). What is the third derivative of s**u + 2*s**2 - s**2 - 2*s**6 wrt s?\nAnswer: -240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 9 + 0 + 5*i**3.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -5969799\/52 at most -114803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -8*u - 7. Suppose -47*w + 46*w = -5. Suppose -2*c = 2*n - 2, n = -w*c - 11 - 4. Let o(i) = -4*i - 4. Give c*r(g) + 7*o(g).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 2*a - a)*(-1 - 1 + 1) - 5*a - 4*a + 0*a + 56 - 56 + 23*a.\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24 - -161141?\nAnswer: 161165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 67 - 25 = 0. What is the remainder when (9*7\/k)\/(2\/8) is divided by ((-3)\/(-6))\/(2\/20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -l - 15. Let o = 9 - l. Find the third derivative of 7*k**o - 7*k**4 - 3*k**5 + 4*k**2 wrt k.\nAnswer: -180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.6 - 121.4. Let u = 133.0000599 + d. Round u to six decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(304)*-5)**2 - (-2*sqrt(304) + sqrt(304) + 0 - sqrt(304))**2 - (-2*(sqrt(304) + -1) + -1 + sqrt(304) + 3 + sqrt(304))**2.\nAnswer: -120*sqrt(19) + 6377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -3*a**4 - 11*a**3\/3 - a**2\/2 + 3*a - 5. Let f(k) = -12*k**3 - 12*k**2 + 4. Let m(i) = 5*f(i) - 4*w(i). Factor m(u).\nAnswer: -4*(u + 1)**2*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 279 and 87203?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 538 = 11*g - 199. Is (-66 + g)*2767\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-48)\/(-9))\/((-1)\/(-12)*2). Find the second derivative of 3*v**5 - 8*v + 13*v**3 + 19*v**3 - w*v**3 wrt v.\nAnswer: 60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 14 = -3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/967024 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i + 3. Calculate y(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -52730 and -52730 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6*j**2 + 5*j + 6. Let p(b) = -7*b**2 + 6*b + 7. Let c = -14 + 8. Let k = 15 - 10. Give c*r(o) + k*p(o).\nAnswer: o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54421.73ml to litres.\nAnswer: 54.42173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2457384847\/82 + 29967148. Let m = -960 - i. Let o = m + -2465\/328. Calculate the common denominator of -51\/5 and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -9, -5, 2, 9, 1 in increasing order.\nAnswer: -9, -5, -3, 1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 498 = -2*l, 0 = -3*d + 2*l - 126 + 893. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 338560\/(-5520)*6\/(-8)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20828779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*j - 21*j + 114928 = 0. Is j\/(-4) + 6\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/900 + -83\/300. Let j be ((-1259)\/(-8))\/((-1)\/15). Let a = j + 2356. Find the common denominator of o and a.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1308192194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-6)\/(-15))\/(24\/30))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + -3*sqrt(19))*1.\nAnswer: -6 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1309397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*v + 60 = -77*v. Let r(a) = -a + 65. Let k be r(0). Let h = 19 + k. Calculate the highest common divisor of v and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((9\/2)\/(-3))\/(21\/4)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 1:10 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 982 + -980.614. Let r = 830.386 - y. Let i = 828.999999161 - r. What is i rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 57*q + 3.\nAnswer: 57*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -2\/3, -2.6, -0.41?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -551403 (base 8) to base 4\nAnswer: -231030003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1467934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6 = -14. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -893*n**2 + 987 - 1951 + 964.\nAnswer: -893*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18911, 18882, 18849, 18812?\nAnswer: 18771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3680302*f**5 - 325831*f - 5?\nAnswer: -73606040*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3*f + 912, -44*w - 5*f + 3716 = -40*w. Does 18 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, -112, -147, -176?\nAnswer: -199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/(-4) - (-27)\/54)\/(6\/(-2)). Which is greater: w or -114\/143?\nAnswer: -114\/143","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -181856, -181781, -181706, -181631, -181556?\nAnswer: -181481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a meter in millimeters?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1220c - -307?\nAnswer: 12515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-21)\/14)\/((-3)\/(-8)). Let b(i) = i**2 + 17*i - 39. Let f be b(2). Put h, f, 21 in descending order.\nAnswer: 21, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + (-86)\/52 - (-2)\/13. Factor -p*w - 1 + 1\/2*w**2.\nAnswer: (w - 2)*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -6*l + 7. Suppose 9*h + 25 = 538. Let k(y) = -65 + h + 0*y + 6*y. Let j(p) = 6*k(p) + 7*m(p). Give j(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*x, 5*j - x - 303 = 2*x. Suppose 4*o - j = -o. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 1:58 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -250, -446, -634, -808, -962, -1090, -1186, -1244?\nAnswer: -1258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 2*o - 6)*(5 + 4*o**2 - 5) + 5*o**2 - 4*o + 9*o**3 + 5*o - 7*o**2.\nAnswer: 17*o**3 - 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -333*o + 100902 = -329*o - 38630. What are the prime factors of o?\nAnswer: 34883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 2*r + 0*r = 7, r = -2*n - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 59767 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/sqrt(40) + (sqrt(11) + 2)**2*-2.\nAnswer: -30 - 15*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1363064006 to the nearest integer?\nAnswer: 36920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1 (b) 2\/9 (c) -0.4 (d) -2635\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 187861862 divided by -93930931?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p*v**3 - p*v**2 - 3*p + 49587*v**2 + 72423 wrt v.\nAnswer: 3*p*v**2 - 2*p*v + 99174*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z + 3. Let d be r(3). Suppose o - t = 0, -2*o - 5*t = 3*o. Suppose o = h - 35 - d. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 432, 5.\nAnswer: -4, 5, 432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**5 + 120*o**4 + 2560*o**3 - 3720*o**2 - 22716*o + 23760 = 0.\nAnswer: -15, -3, 1, 3, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1544, 786, -476, -2242?\nAnswer: -4512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25317 - 241380 = -11*l + 225443. Round l to the nearest 1000.\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -250 divided by -768418?\nAnswer: 125\/384209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.125 - -6.025. What is the second biggest value in 108, -5\/6, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -14770, -29572, -44390, -59224?\n\"Answer: -8*j**2 - 14778*j + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -21 + (45 - 3) - (-11 + 8)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 259271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.3 (c) -1.64 (d) -83.21 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 10 = -3*p, -50*f + 15 = -5*p - 52*f for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*h - 40 + 5, 0 = -3*b - 2*h + 5. Let o be (5 + 2\/(-1))\/1. Sort o, 1\/10, b in descending order.\nAnswer: b, o, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.13 - 1.3. Let y = j - 0.13. What is the smallest value in -1\/5, y, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 3*g**2 - 5*g - 3. Let d be b(-4). Let u be d - 3*(-30)\/9. Calculate the common denominator of 1*((-60)\/u + 2) and 10\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1407779999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25893314*s - 179665705.\nAnswer: 25893314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/48 and -83\/9816?\nAnswer: 19632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -20*z**2 - 1 + 21*z**2 + 2. Let n be (3 - 2) + 0\/(-2). Let i be d(n). Calculate the greatest common factor of 4 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62186 is divided by 329.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*j - 15*j - 15*j - 16*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 123*c**3*w - c**3 - 1207*c*w wrt c.\nAnswer: 738*c*w - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5378 + -3133. What are the prime factors of o?\nAnswer: 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33589642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(2304)*-2)\/(sqrt(72) + (sqrt(72) + -1*sqrt(72) + sqrt(72) - sqrt(72))) + -1.\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4318?\nAnswer: 2, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3486844966?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 686.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 382741067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1105.21 and 0.39.\nAnswer: -431.0319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -164*c + 315*c + 3*c**2 - 172*c + 3*c**2 - c**3 + 5*c**2 + 8. Calculate l(9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2034482874?\nAnswer: 2, 3, 19, 397, 44953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 3*o**2 + 6*o**2)*(-257236 + 1138*o**2 + 1944*o**2 + 257236 - 667*o**2).\nAnswer: 9660*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 + -6 + 6 + -3. Suppose 0 = -3*u + w - 1. Solve 2*t + u = -5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 29*t - 211. Let d be x(-16). Let f be ((-105)\/(-7))\/d + 10. Solve 2*v + 0*v - f*j = 17, -5*v = 3*j + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-27))\/((42\/147)\/(2\/14))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 n, and 1 h when three letters picked without replacement from fhfaffhhhdhnh.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of 5*a**8\/336 - a**7\/14 - 7*a**6\/24 + 11*a**5\/12 + 5*a**4\/4 - 20*a**3\/3 - 293*a**2 - 3. Solve o(p) = 0.\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of k**4\/24 - 5*k**2 - 9*k. Let t(r) be the first derivative of f(r). Let w(v) = 2*v**2. Determine w(t(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*b + 2, -21 = -4*s - b. Suppose -16 = 5*g - 7*g. Suppose g*m - 38 = 6*m. Solve 0 = -4*k - 5*f + 5 + 3, s*k - f + m = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*b**3 - 958*b**3 + 141*b**3.\nAnswer: -743*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3902 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-257 + 1)\/((174\/232)\/(111\/(-8)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53 - (-125 + 25)) + -51?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and -13.33.\nAnswer: -79.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2014346353 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -466, -154, 834, 2504, 4862, 7914?\nAnswer: 11666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*f = -7*u - 46, -4*f = -2*u - 4. Let k be 3*1*(-7 - u). What is k rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62122694*i**2 + 49*i - 18426 wrt i?\nAnswer: -124245388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53666, 52949, 51754, 50081, 47930, 45301?\nAnswer: 42194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 - b899959?\nAnswer: -b899943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06 and 0.405.\nAnswer: 0.0243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-34))\/((-13780)\/(-130) - 94).\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394000 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 3*v**4\/7 - 2802*v**3\/7 + 858888*v**2\/7 - 82081632*v\/7 - 189326976 = 0.\nAnswer: -14, 316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83517437 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-5) - (-8)\/(-20). Let j(v) = 4*v**2 - 2*v**2 + s*v**2. Let n(i) = -2*i. Calculate j(n(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 58331.44um in centimeters?\nAnswer: 5.833144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10*(-1)\/4 + -7 + 10. Let s = 80 + -1115\/14. Let k be 3\/36*4 - 4\/6. What is the closest to f in 2, k, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3879656?\nAnswer: 2, 11, 44087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2449 and 5983?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 20. Let o(n) = 1 - r + 18*n - 11*n. Let h(b) = 2*b**2. Determine h(o(q)).\nAnswer: 98*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*z - 12. Let s = -2 + z. Calculate the lowest common multiple of s and ((-2)\/(-5))\/(5 - 343\/70).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 228 divided by 2.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 963 divide 516142035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3\/11 (b) -5 (c) 1078 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 140035426973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/24)\/(8\/(-64)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvcvccvvvv. Give prob of picking 1 v and 3 c.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118145, -236387, -354629, -472871, -591113, -709355?\nAnswer: -827597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 18*v - 184. Determine t(6).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 81299131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1929*t**3*u**2 - 13*t**2*u**2 - 8*u**2 wrt t?\nAnswer: -11574*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 180998 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/112)\/(2\/(-7)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -112308 + 6?\nAnswer: -112302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 11*a = 18. Let p(r) = -3*r - a*r**2 + 3*r + 36*r**2. Let o(t) = -2*t. Determine p(o(b)).\nAnswer: 108*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 15, 0.3, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 388, 1334, 3208, 6328, 11012, 17578?\nAnswer: 26344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2561 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h**2. Let v(g) = 42*g + 14. Let u(k) = 14*k + 4. Let b(c) = -14*u(c) + 4*v(c). Give b(q(i)).\nAnswer: -112*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**3 - 4*d**3 + 9 - 6*d + 0*d**3. Let h(f) = -5*f + 8. Let i(y) = -5*b(y) + 6*h(y). What is the derivative of i(r) wrt r?\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 6:04 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*i**2 + 65*i**2 + 1 - 45*i**2 - 183*i**2 - 21*i**2.\nAnswer: -148*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53510 - -53509.951402. Round l to four decimal places.\nAnswer: -0.0486","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k + 4. What is the tens digit of o(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -522*t**5 + 1546*t**4 + 5280*t**3 + 200*t**2 = 0. What is t?\nAnswer: -2, -10\/261, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -20 - 50 - -25.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -12483.2485*-1\nAnswer: 12483.2485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -194*r**5\/5 + 7*r**4\/4 + 11*r**3\/6 + 2*r**2 + 4*r - 1279. Find the third derivative of q(y) wrt y.\nAnswer: -4656","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-10)\/(-2) + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 5*s + 50 = 0, 244*s + 188 = 4*v + 260*s for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 8*p - p)*(2 - 3 - 1)*(-2 + 2 + 1).\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 78.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 12 = 0, -3*j + 20*n + 1449 = 23*n. Suppose 0 = j*t - 491*t + 20. Solve -t*w = 3*m - 3 - 9, 0 = 5*m - 3*w - 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 8 = -3*v - 2*v, -v - 10 = -4*q. Let i(c) = 2 - 7*c - c**2 + c**q + c**2 + 1. Calculate the least common multiple of 1 and i(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*v + 2*u + 3, v - u = -1. Let p = -0.1 - 0.1. Which is the second biggest value? (a) v (b) 2\/13 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12877.8 to the nearest one hundred.\nAnswer: -12900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i*z**4 - i*z**2 - 1214*i*z - 2*z**3 + z wrt z?\nAnswer: -24*i*z**2 - 2*i - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50575067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/90 and -47\/973390?\nAnswer: 8760510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 276.2394 centuries?\nAnswer: 2762.394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1769017 + -79655?\nAnswer: 1689362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.03, 3, 1, -2, 5\/6, -2\/7, -3\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -131 + 147. Sort 0.4, -21, 1\/10, p in increasing order.\nAnswer: -21, p, 1\/10, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 d when three letters picked without replacement from {z: 1, d: 2, q: 1, k: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92332 is divided by 169?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - -3 - (-2)\/(-2). Let i(s) = -3*s**3 + 4*s**2 + 3*s - 3. Let h be i(-2). Suppose 5*g - l - 53 = 0, -5*l = 4*g - 2*l - h. Solve -j*n + g = -2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -73166 - 136?\nAnswer: -73302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 26 - 1 = -5*m, 0 = -s - 3*m + 5. Calculate the common denominator of 215\/(-140) + (-2)\/s and 37\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 89 and -0.0444127.\nAnswer: -3.9527303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -32.574 and 56465.\nAnswer: 56432.426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**4 - 200*c**3 + 37838*c**2 - 36369*c - 14634.\nAnswer: 24*c**2 - 1200*c + 75676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2011 - -120112122212220?\nAnswer: 120112122222001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -536 = -3*y + 4*z + 1266, -3*y = z - 1822. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2922 < -265890\/91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010000100101000010010100001 + -101?\nAnswer: 1010000100101000010010011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*a - 1894 = -2104 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000013015815 to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**7*i))\/i**(10\/7) assuming i is positive.\nAnswer: i**(-66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 51166560 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 919 = 5*y, 3*a = -a - 12. Let h = y - -287. Does 7 divide (-15)\/(-45)*(h - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1386321883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1125\/(-2340)*112\/(-140).\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -2*p - 94, -l - 457*p - 188 = -453*p for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 s when two letters picked without replacement from xsxqu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 9*m - 45. Suppose -89 = -m*t + 216. What is the remainder when 240 is divided by t?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 6*o**3 - 13*o**2 - 10. Let i be z(3). Suppose -14930 = -i*j + 12895. List the prime factors of j.\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2166*f - 2149*f + 6700*f - 2237*f.\nAnswer: 148*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11835262 is divided by 1155?\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f + 19*f - 2 = 0. Let u be f\/3 - (-26)\/(-39). What is the lowest common multiple of 6 and (140\/(-50) - (-1)\/(-5))*u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 5:24 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**2 - 2*g**3 + 0*g**3 + 5*g**3 + (-1 + 5 - 2)*(-3*g**3 + 0*g**3 + 2*g**3).\nAnswer: g**3 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1)*c)**(-14\/9))**24 assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p**3 + p**2 - 1. Let h be w(1). Let m = 5 - h. Suppose -140 = m*j - 10*j. What are the prime factors of j?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/8, -1\/6, -4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -235 - -234.9584. Let o = t + -0.9584. Which is bigger: 1\/72 or o?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/104731875 and -54\/7.\nAnswer: 733123125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - i**2 - 3*i - 4. Let l be b(3). Put l, -5, 0 in ascending order.\nAnswer: -5, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -95, 3, -1, -4, 0 in descending order.\nAnswer: 3, 0, -1, -4, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1240 and 160?\nAnswer: 4960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**4 - 16*v**3 + 4*v - 4. Let m(f) = 2*f**4 - 47*f**3 + 11*f - 11. Let g(d) = 4*m(d) - 11*s(d). Determine l, given that g(l) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*r**3 - 513*r**2 - 156*r - 218138581 wrt r?\nAnswer: -21*r**2 - 1026*r - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(-17) - (((-108)\/3)\/9 + 65).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166110425?\nAnswer: 5, 13, 511109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**3 - 42*y**2 + 14*y + 129. What is n(-14)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i - 249 + i - 9*i + 3*i.\nAnswer: 3*i - 249","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -610 or 8950?\nAnswer: 8950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/(-5))\/((-1)\/(-3)). Suppose -3*p + q = -0. Let o be -1 + (-8)\/(-3) + -1. Which is the second smallest value? (a) o (b) 0.5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 570962967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -172.8984 - -175.9. Let b = p + -3. Round b to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 48 - 47 - w**3 - 15*w + 29*w + 34*w - w**2 in the form v*w**3 + f*w**2 + s*w + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o = -0*o - 3128. List the prime factors of o.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**0*g)\/g)**9\/((g\/g**0)\/g)**15)\/((g*g*g**(-4)*g*g)\/g**(1\/3))**(5\/3) assuming g is positive.\nAnswer: g**(5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -n**4 + 8*n**2 + 226. Factor a(g).\nAnswer: -4*g*(g - 2)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of k**3\/8 + 45*k**2\/4 + 675*k\/2 - 57. Find h such that w(h) = 0.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3256703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 14 = -4. Let c(j) be the second derivative of 1\/2*j**2 + 0*j**4 + 0*j**3 + 0 + 1\/20*j**i - 2*j. Give c(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 38 (b) 2\/7 (c) 3 (d) -8 (e) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2189857 is divided by 56150.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 24*y**3 - 9*y - 20. Let a(s) = 76*s**3 - 28*s - 66. Calculate 5*a(g) - 16*v(g).\nAnswer: -4*g**3 + 4*g - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1908777, 3817551, 5726325, 7635099, 9543873, 11452647?\n\"Answer: 1908774*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-5 - (4 - 6)) + 13 - 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/6 + 6 + 40\/(-6). Solve 5*g + m - t = 0, -g + 2*m + 6 = 5*m for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12949675*k**4 + 3*k**2 - 2121160*k wrt k?\nAnswer: 310792200*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 2*s - 3*x, 2*s + 2*x + 0 = 6 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.7 - -0.5. Let c = 3.06 + -0.06. Let x = n + c. What is the second smallest value in 1\/5, x, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 6\/11, -52?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vbbbbvbv. Give prob of sequence vbbb.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 d when two letters picked without replacement from zukzlljzzzddj?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81971 is divided by 67?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1149 - -2517. Calculate the greatest common factor of o and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 16. Suppose 5*t = z + 81, 5*z - 4 = 4*z. Let l = t + a. What is the remainder when l is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 2) + (-8 - -12) - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/9 - 5952400\/26783775. Let n = 14879719\/9285042 - z. What is the common denominator of n and 29\/30?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140082 is divided by 32?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 476475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -1891*n - 113439. Determine c(-60).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 6\/5, -36, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/220 and -75\/2288.\nAnswer: 11440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/10 + -1 + (-4168)\/(-40). Suppose -16*h = -3*h - k. Solve x + x = h for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**4\/2 - m**3 + 3*m**2\/2 - 2*m + 2. Let h(i) = 4*i**3 + 5*i**2 - 5*i + 4. Let y = 29 + -34. Determine y*w(p) - 3*h(p).\nAnswer: -2*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 8:12 AM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -2*t + f + 4*f, 4*f = 5*t - 55. Is t even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*b = -34, -4*z - 2*b - 4 = -96. Let k(j) be the first derivative of 5\/2*j**2 + z + 0*j. Let v(o) = -8*o. Give v(k(s)).\nAnswer: -40*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 3:36 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 17*s + 2*s)*(-1 + 5 - 3) - 5*s + 2*s + 4*s.\nAnswer: 22*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -274*3*(-2)\/6. Suppose -2*n = -5*n + 5*u + r, 0 = -4*n - 2*u + 374. What is the greatest common factor of n and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - u - 25, -53*y - 121 = -48*y + 4*u. What is the nearest to 3 in 1, 1\/2, y, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1849 + 1951. Calculate the greatest common factor of o and 204.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1937 + 33\/(-9) + (-2)\/(-3). Let v be (-5)\/(-25) - m\/(-5) - -3. Suppose -4*x + v = -186. 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 s(r) be the third derivative of r**6\/120 - r**5\/12 + r**4\/8 - 2*r**3\/3 - 20*r**2. Let z be s(5). Solve n + z = 3*f + 3*n, 6 = -2*f + 2*n for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*v**4 + v**2 + 8*v**3 + 1 - 2*v**3 - 2*v**3 - 3*v**3 to u + q*v + c*v**2 + f*v**3 + i*v**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -15 - 4*r**2 - r + 4*r + 20 - r**3. Let h be b(-3). Let o(l) = 12 + 9*l - 7 + 8. Let k(f) = -4*f - 6. Determine h*k(u) - 6*o(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5813347 + 800?\nAnswer: -5812547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3021 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 l when two letters picked without replacement from {l: 2, r: 1, v: 1, o: 1, k: 1, s: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-7)*96\/576.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6411640 is divided by 242?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 712, 17, -4, -5, 4, -3 in increasing order.\nAnswer: -5, -4, -3, -1, 4, 17, 712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.8431744 rounded to 2 decimal places?\nAnswer: 15.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -795*j + 34879. Determine z(44).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02055194 rounded to 5 decimal places?\nAnswer: -0.02055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -550 (base 9) in base 8?\nAnswer: -702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4555421205 - 0?\nAnswer: -4555421205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -97012a5?\nAnswer: 97012a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + 5 + (-2)\/(-1). Suppose -y + x*k + 12 = 0, -2*y + 3*y + 23 = -5*k. Let d = y + 2. Calculate the lowest common multiple of 22 and d.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2897092447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3276416 divided by 11?\nAnswer: -297856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(2448)*-2)**2 - (-2*sqrt(17) - sqrt(17))*-2).\nAnswer: -19584 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - -4*sqrt(162)*-2 - ((sqrt(162) - 1*sqrt(162))*6 - sqrt(162))**2 - (sqrt(96)\/sqrt(12) - (1 + sqrt(128)))**2*-6)*6.\nAnswer: 54*sqrt(2) + 1656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**2 + 2*c**2 + 8*c**2 + (2*c - 3 + 3)*(8*c - 5*c + 4*c) - c**2 + 4*c**2 - 5*c**2 - c - c**2 + c to a*c + m + y*c**2 and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4719) - (sqrt(4719) - 1*sqrt(4719)))\/(sqrt(21)\/sqrt(343)).\nAnswer: 77*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-317)\/15 - -15) + (-4)\/(-30).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f + 21*f = -4*z - 13, 5*f - 5*z = 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2794674*g. Let x(k) = 124*k**2. Determine j(x(m)).\nAnswer: -346539576*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + 36 - (4 + -1 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10001001100 (base 2) to base 6\nAnswer: -5032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5429 - -271497\/50. Let h = -313 - -3179\/10. Calculate the common denominator of h and r.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25\/316? (a) 2\/9 (b) -0.3 (c) -57.58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20940\/3839)\/(((-6)\/4*-2)\/22).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2094*b*g**3*u**2 + 31*b*g**2*u**3 + 2*b*g**2 + b*g*u + 2*b*u**3 + 924*g**3*u**3 + 2*g**3*u**2 wrt u.\nAnswer: 186*b*g**2 + 12*b + 5544*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -16. Suppose -90 = 2*n - c*n. Let t(f) = f**3 - 45*f**2 + 467*f + 3. Let h be t(29). What is the greatest common divisor of n and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, -1, 9, -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 5*j**2 + 12600*j + 12595 = 0.\nAnswer: -2519, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1832 + 1834. What is the second biggest value in d, -0.02, -12?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 3*s - 4. Let v be t(-4). Let o = -2 - 1. Let b = o + v. Which is smaller: b or -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjbbufjssbs. What is prob of picking 1 j and 1 s?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - (817\/(-95) - 18))\/(1\/(-10))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 381\/14 - 55\/2. Let a = 32 - 32.4. Sort a, b, 3\/2.\nAnswer: a, b, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of c**3\/3 + 5*c**2\/2 + 3*c. Let f(h) = 6 + 46*h - 44*h - 2. Calculate -3*f(r) + 2*m(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 less than -17886397580897?\nAnswer: -17886397580835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135097, -134913, -134731, -134551?\nAnswer: -134373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00044443 to five dps.\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -255 - 2442?\nAnswer: -3030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/2)\/(5 + -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -2 - (-3 - 8 - (4 + -3))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 6:16 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 698 is divided by 99?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178 = -3*d - 4*m, -16*d - 10*m + 5*m = -0*m - 198 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-15))\/((53482\/(-41140))\/(4\/(8\/(-9))))\nAnswer: -36\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 2 = w, 0 = 8*z - 6*z + w for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**3\/7 - 19*d**2\/7 + 4*d\/7 + 76\/7 = 0.\nAnswer: -19, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 9*h - 34. Let p = 163 + -157. Let v be a(p). What is the highest common divisor of v and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212722.\nAnswer: 2, 31, 47, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -2, 2\/3, -18 in ascending order.\nAnswer: -18, -2, -2\/5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 7. Suppose -n*r = -r - 130. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 9 = -3*r, r - 5*z - 3 + 0 = 0. Let l = 3 - 1. Suppose -5*q + l = -18. Solve -r*g + q = -g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23176 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-10) - 44\/(-10). Let w be 9 + (-4)\/(i + 0). Suppose w + 18 = x. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*o - 7*o + 2*o**4 + 5*o**2 + 1 - o**2 as a*o**4 + c*o**3 + t*o + i*o**2 + s and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*c + c**3 - 37611*c**2 - 37611*c**2 + 75214*c**2 to the form g + d*c**3 + s*c + w*c**2 and give s.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of h**4\/2 + 35*h**3\/3 - 17*h**2\/2 + 19*h + 1509. What is z(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -n + 5*k, -11*k + 102 = -4*n - 10*k. Sort 13, -1, n in increasing order.\nAnswer: n, -1, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4 - 1 - v + 1. Let p be q(6). Let a = p + 14. Calculate the greatest common divisor of a and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 178*i**2 + 364*i - 1. Calculate k(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((-2)\/(-30))\/((-36)\/1170)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15*1*14\/35. Suppose q*b = 7*b - 4. Suppose -11 = -b*d + 1. Solve -f + d = -2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 19.9987. Round x to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*y**6 + 21*y**3 + 206*y**2?\nAnswer: 240*y**3 + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9880 = 31*l - 74*l + 45*l. Calculate the highest common divisor of l and 152.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 300 = 2*p. Suppose 4*w - 3*o = -w + 185, w + 4*o = p. Suppose 0*m - w = -4*m. Does 9 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2556916 is divided by 4341?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 1 (c) -134005\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 16 = 0, 4*q = i - 4*i + 1832. Suppose 3*s - 1010 = -5*p, 350 + q = 4*p + 3*s. What are the prime factors of p?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 21. Let a(t) be the first derivative of t**2\/2 - 2*t - 1. Calculate a(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 776779901 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t. Let y(a) = -239*a + 40. Let u(q) = -80*q + 15. Let l(b) = -8*u(b) + 3*y(b). What is m(l(f))?\nAnswer: -77*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u*u**(1\/17)\/u*u))**(-2\/19))**23 assuming u is positive.\nAnswer: u**(-736\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**8\/1680 + t**7\/840 + t**6\/180 - 17*t**3\/6 - 4*t**2. Let l(z) be the first derivative of w(z). Factor l(c).\nAnswer: -c**2*(c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -340770 divided by 11359.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2625.8 - 2626. Which is the third smallest value? (a) -0.1 (b) -8 (c) n (d) 2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453c (base 15) in base 14?\nAnswer: 54ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6675 and 435?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55 - -163\/3. Suppose 2*j - 10 = -0*j, 0 = -2*y + 4*j - 34. Sort -1, w, y in ascending order.\nAnswer: y, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + (-2)\/(-57) + -3. Let t be 10\/6*(-6)\/(-76). Let x = f + t. What is the biggest value in x, 4, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*i. Let c be ((-25)\/20)\/(2\/(-8)). Suppose -2*w = 3*g - 2*g - c, -5*w + 13 = 3*g. Solve i = t + g - 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 152*l**2 - 2234*l + 6221. Determine q(11).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*i - 44 = 45*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -41, -157, -359, -653, -1045, -1541?\n\"Answer: -t**3 - 37*t**2 + 2*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*v + 4*d, 4*v + 2*d - 23 = -d. Let r(s) = 11*s - 4. Calculate the lowest common multiple of 3 and r(v).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) + 1 + sqrt(7))*6)**2 + -1.\nAnswer: 432*sqrt(7) + 9107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 136 = 104. Let a be (-6 + 1)*d\/(-60). Solve -2*h = -0*h - a, -i - h = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -73938 (base 10) to base 16.\nAnswer: -120d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-4) - (-338)\/8. Suppose -4*q + h = -42. Suppose 2*m - q = -m. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnwwwaan. Give prob of picking 3 w and 1 n.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2*v + 22 = -6*l, 16 = -2*l - 2*v. What is the smallest common multiple of 2 and (9\/(-3))\/l - -9?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*g - 5 + 5 + 2*g + 19*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 35\/3, -1\/4, 409, 6 in increasing order.\nAnswer: -1\/4, 6, 35\/3, 409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -5119566\nAnswer: 2\/853261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*11\/(-110)*5 + 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 - k + 3. Let q(l) = -12*l**2 + 18*l - 20. Let i(m) = q(m) + 8*t(m). Suppose i(z) = 0. What is z?\nAnswer: -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + l - 3. Let m(x) = 0*x**2 - 10 - 5*x + 4*x**2 + 9*x. What is -7*j(t) + 2*m(t)?\nAnswer: t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/21*t + 0 + 4\/7*t**3 + 8\/21*t**4 + 2\/21*t**5 + 8\/21*t**2.\nAnswer: 2*t*(t + 1)**4\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 253 + 140. Calculate the remainder when h is divided by 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 2)*6 - ((sqrt(7) - (-1 + sqrt(7))) + 4).\nAnswer: 7 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 531438474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**4\/12 + q**2\/2 - 24*q. Calculate s(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -198 divided by -67547?\nAnswer: 198\/67547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 1.2. Which is the nearest to n? (a) 4 (b) 1 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -2*(-23370)\/(-19)*10\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11)\/(286\/12060) + (-4)\/26. Let h = o - -1256. Calculate the greatest common divisor of h and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r. Let u(p) = -3933*p + 32. Calculate z(u(t)).\nAnswer: -7866*t + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12 + (13 - -4))*(708 + 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10199 divided by 31.\nAnswer: -329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 17*t - 5. Let w(u) = -u. Let x(j) = 3*w(j) + z(j). Let r(q) be the first derivative of x(q). Let a be r(-11). Solve -a*d = -3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90*(-203)\/365400*20*4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 927 and 21965986?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 20*c**2 - 3*c + 8. Let z be -5 - -4 - (-15)\/5. Suppose -29 = -3*h + r, z*r + 3*r + 1 = -h. Is m(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 5*o + 0*o = 21, -v + 5*o = -12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 606 and 101.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20.3 + 20. Let b = 40 + -78. Let y = 38.2 + b. What is the nearest to 1\/2 in y, -1, j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/2)\/((-4)\/16). Let d = l - 6. Let y = -44413 - -44413. Solve d = 5*q - y - 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160)\/(-3*sqrt(4)))\/(4*sqrt(288)) - (5*(sqrt(720) + -2) + sqrt(720) - (sqrt(720) + sqrt(720) + 4*sqrt(720) + 1 + sqrt(720))))**2.\nAnswer: 9493*sqrt(5)\/36 + 4351109\/5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 29811904*a**2 - 29812117*a**2 + a**3.\nAnswer: a**3 - 213*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5*w**2 + 113*w - 49. Let y be x(-23). Which is smaller: -30\/13 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -66, -136, -206?\n\"Answer: -70*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8098 divided by 3.\nAnswer: -8098\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 5*c**3\/3 - 200*c**2 - 405*c - 315. Factor w(p).\nAnswer: 5*(p - 81)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -199200922.\nAnswer: -5\/199200922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -2*d + 48, -12 = d + 2*d. What is the remainder when 7 is divided by 18\/8 - (189\/x + 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 6*a**2 - 2*a - 26. Let u(y) = -3*y**2 + y + 13. Calculate -13*u(s) - 6*w(s).\nAnswer: 3*s**2 - s - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 2*r**2 - 1. Let w(a) = a**3 + a**2 + 1. Calculate -t(s) - 2*w(s).\nAnswer: -s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25586713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 79837406 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.2 + 2. Let u = y + 0.1999997. What is u rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/(-12)*-3 + 2. Let c be (-17 + 17)*(-1)\/j. Suppose l + l - 1474 = c. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3295 and 354242155.\nAnswer: 3295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (51\/(-3))\/((-3)\/3)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -418 + 415. What is the tens digit of 21\/63 + 2633*k\/(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 10, -37, -7, -0.1, -41 in descending order.\nAnswer: 10, -0.1, -3, -7, -37, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-68)\/10 + 2\/(-10). Let c(z) be the third derivative of z**5\/10 + z**4\/12 - 3*z**3\/2 + 2*z**2. Let d(r) = 5*r**2 + 2*r - 8. Determine k*d(u) + 6*c(u).\nAnswer: u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -14. Solve d = -5*t + t - 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -19, 1, -5 in increasing order.\nAnswer: -19, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*t + 16 = 96*t. Let i be t\/(-22) + (7 + -13 - -5). Let k be 0 - (1 - 0\/2). Does i = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.023 + -0.13. Let q = j - 62.847. Let p = -62.9942 - q. What is p rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -1. Suppose m*f - 11 = -43. Which is greater: f or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4297?\nAnswer: 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(35)*2)\/(sqrt(45) + sqrt(405)).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 16 - 1. Let y = 38 - 39. Put -0.4, y, w in decreasing order.\nAnswer: -0.4, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25290*l - 51604 wrt l.\nAnswer: -25290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + b - 3*b, -4*m - 7 = -3*b. Let l(x) = -4*x**2 + x + 1. Let j be l(-1). What is the smallest value in j, 1, m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-8))\/((42\/24)\/(-7))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.178 - -0.036. Let s = o - -0.076. Let q = -0.09 + s. What is the closest to -1 in 5, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19.94 and 11.\nAnswer: -219.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/4)*p*p**(-1\/9)*p)**(-23)\/((p**(-1\/4)\/p)**8)**(1\/23) assuming p is positive.\nAnswer: p**(-49895\/828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 11. Let l = u + 3. Let h = l + 9. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmscz. Give prob of sequence sgm.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3)*q\/(q**0*q)*(q*((q\/(q*q**(2\/7)))\/q)\/q)**25)**26 assuming q is positive.\nAnswer: q**(-6396\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.21819245*0.5.\nAnswer: 0.109096225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2295081472.\nAnswer: 2, 53, 83, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3774521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2230*s**2 + 2216*s - 14 = 0?\nAnswer: -1, 7\/1115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2*w + 3*w = -190, -2*k + 76 = w. Let b = -16 + k. Let i = 3542 - 3433. Calculate the remainder when i is divided by b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 17*o**2 - 15*o + 5. Let c(m) = -147*m + 278. Let i be c(2). What is j(i)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27005 is divided by 1932?\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + -10)*20\/(-12). Let z be (-1 - 0)*-3 + s. Let j = z + 8. Does 13 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4\/89 (b) 5 (c) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) - -2*(sqrt(104) + 2*sqrt(104) + sqrt(104)))\/(-5*sqrt(32)\/sqrt(4))*2.\nAnswer: -18*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-28)\/(-49)*(29\/290)\/(6\/(-28)). Put d, 0, -0.1, -3 in descending order.\nAnswer: 0, -0.1, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16062.1302 + 0.75007.\nAnswer: 16062.88027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.72 + 6.1. Let u = 0.28 - n. Let h = -1 - u. Which is the nearest to h? (a) 4 (b) 2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/47 and 37\/10.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 157, -11, -2.\nAnswer: -11, -2, 26, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 79494.2439 to zero decimal places.\nAnswer: 79494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 378 - 938. Let b(h) = 90*h + 194. Let j be b(-2). Calculate the greatest common factor of j and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86 and 946?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 724 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*j**6*p**2 + 58*j**6*p - j**2*p**2 - 4*j**2*p - 46*j wrt j?\nAnswer: 840*j**3*p**2 + 6960*j**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*s + 21 + 8 = 153. Which is the closest to 1\/4? (a) 0.069 (b) -0.05 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3305290*a - 6610811*a + 3305517*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3 + 22080*q**2 + 7672576*q.\nAnswer: -4*q*(q - 5848)*(q + 328)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 50742?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/5, -4\/7, -7, 1\/3, 1\/5 in ascending order.\nAnswer: -7, -9\/5, -4\/7, 1\/5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -231, -474, -719, -966, -1215, -1466, -1719?\n\"Answer: -v**2 - 240*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + r - 55 = 0, 51*k + 3*r - 29 = 49*k - 4 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 11*o**2 - 4*o - 11. Suppose -3*x = 0, -3*x = -5*g - x - 55. Let b be v(g). Calculate the greatest common factor of b and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-627)\/121 + 4\/22. Let v be (-2)\/i - (-46)\/10. Suppose -229 = -v*t + 2*f, 3*t = 5*t + f - 88. Is 17 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - 12?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56886 is divided by 583?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, 2, 2\/7, 4\/11, 0.4?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 236701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of 169*i**5\/60 + 5*i**4\/24 + 3566*i**3\/3 + 7*i**2 - 76. Differentiate d(s) wrt s.\nAnswer: 338*s + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.323 * -0.3.\nAnswer: -0.0969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -11*s**6\/120 - s**5\/10 - s**4\/4 - 25*s**2. Let c(p) = -p**2 - p. Let f = 294 + -293. Calculate f*w(m) - 6*c(m).\nAnswer: -11*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57483, 115601, 173719?\nAnswer: 231837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 65238606352 plus 165?\nAnswer: 65238606517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-1))\/(32\/(-4))*-6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95646.\nAnswer: 2, 3, 19, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -0 + 3. Let r(c) = -c**2 + 1. Let t(j) = -j**2 + 6*j + 2. Let h be t(6). Let a(v) = -v + 2*v - h*v + 0*v - 2. What is i*a(y) - 2*r(y)?\nAnswer: 2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.2751 - -0.2751. Which is the second smallest value? (a) -1 (b) 0 (c) -4 (d) 89\/4 (e) j\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(396) - ((sqrt(396) - (-3 + sqrt(396)))**2 + sqrt(396))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 124\/19 (c) -0.1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 29*j**4\/12 - 21*j**2 + 19*j. Differentiate w(x) wrt x.\nAnswer: 58*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1369548 + 1369548 + 6455*k to the form q + u*k and give u.\nAnswer: 6455","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9756 and 144?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -791, -1584, -2375, -3164?\nAnswer: -3951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11571692 - -3.6942763.\nAnswer: 3.80999322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -15*f**4 + 200*f**3 - 835*f**2 + 850*f + 1000 = 0?\nAnswer: -2\/3, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11793545 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3 - 7 + 32*r**2 + 5*r - 33*r**2. Determine a(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) -3 (c) -3\/4 (d) 4\/3 (e) -0.41 (f) -9\/2 (g) 0.005\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 986 and 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -13, 0.3, -0.1, -3, 1, 0.44?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 775742 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ngngtnhtgt. What is prob of sequence ghtt?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(4*(sqrt(12)*2 - sqrt(12))).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 15*h + 45. Let l be q(-3). Let o = -94 + 93.93. Which is the closest to 0? (a) o (b) l (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263\/17115 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Convert 10014 (base 8) to base 10.\nAnswer: 4108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**6 + 15895*h**3 - 9295*h**2 wrt h?\nAnswer: -120*h**3 + 95370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - 3. Let n = o - -14. What is the units digit of n + 5 + 1 + -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1112386007?\nAnswer: 17, 23, 1601, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 805 and 394220?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -9*o - 29. What is the fourth biggest value in 1\/8, -3, o, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/19 (b) -3 (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 4)*5\/(-4). Suppose -4*z = -4*r + 4, -4*r - 1 = -0*z - l*z. Let f(s) = -s**3 + 8*s**2 - 6*s + 6. List the prime factors of f(r).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 79 = 1. Let w be (6\/4)\/((-3)\/u). List the prime factors of 2\/w*-2*-6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/70 + 52\/14. Suppose -u + d + 10 = 0. Calculate the remainder when 54 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27*-16.1683\nAnswer: -436.5441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4517, 4423, 4333, 4247?\n\"Answer: 2*z**2 - 100*z + 4615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5471871 rounded to the nearest ten thousand?\nAnswer: 5470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + t = -v - 8, 2*t = -5*v - 27 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -753, -2\/9, 16\/7, -2, 9\/2, -5?\nAnswer: -753","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 78*m - 256*m - 283*m + 30*m - 1 + 1 + 4*m + (1 + 2*m - 1)*(-3 + 4 + 2).\nAnswer: -421*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 - 430 = -2*l. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 - -108?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + -610.\nAnswer: -610.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/3)\/j*((j**(-1\/17)*j)\/j)\/j)**(-2\/133))**(13\/6) assuming j is positive.\nAnswer: j**(1807\/20349)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -3*h**4\/4 - h**3\/3 - 3*h**2\/2 + 2*h - 9. Is n(-4) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-7))**(-26\/3) assuming i is positive.\nAnswer: i**(182\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64 - (-55 + 107)) + (1 - 11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1621*v - 887*v - 738*v - 2.\nAnswer: -4*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2*x - 8 = 0, -3*x - 32 = 5*z - 15. Solve 0*q + z*h - 9 = -3*q, 2*h = -q - 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5187 is divided by 231?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1636306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 234 and 1326?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 8*u - 1. Let d(s) = -s**3 + s**2 + 6*s + 2. Let p be d(3). Calculate n(p).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*j + 103*j - 42 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 5*g**2 - g - 1. Let i be h(5). Let m = i + 11. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b + 17. Let u = 147 + -143. Let p be o(u). Is -2\/149 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68*a**2 + 618*a.\nAnswer: 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (538\/2152)\/(4\/(-16) + 2*30\/(-576))?\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 9. Let x = -533607\/22 + 24259. What is the common denominator of x and 1712\/(-88)*1\/d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 207, 798, 1769, 3108, 4803, 6842?\n\"Answer: -2*x**3 + 202*x**2 - x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0.1. Suppose -2*f - 19 = 3*f - 2*w, -f + 10 = -5*w. Which is the smallest value? (a) r (b) 16 (c) -1 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -13.4 (b) -3 (c) -1\/2 (d) 2\/3 (e) -20370\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 564.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zbvnbvvdvvznvvvobvn. Give prob of picking 1 n, 2 v, and 1 d.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.176551 litres to millilitres.\nAnswer: 9176.551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 414, -459, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12891 - 2558518.\nAnswer: -2558517.87109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36045192397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 70.54357g?\nAnswer: 70543570000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1265272926 divided by -6?\nAnswer: 210878821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/3)*l**2)\/(l**(2\/3)\/l*l*l**(-2\/5)) assuming l is positive.\nAnswer: l**(31\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 4*f**3\/3 - 5*f**2\/2 - 549*f. Let c(s) = 9*s - 6. Calculate 3*a(t) - 2*c(t).\nAnswer: 6*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 5.4\nAnswer: 21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (642\/535)\/(2\/120*-3*21\/(-35))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - p + 4. Let t be w(3). Let z = t - -16. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -15*y**2\/2 - 12*y - 16. Suppose 0*r = 3*r - 6. Let c(n) = r*n - 2*n + 5 + 6*n. Calculate -12*c(j) - 5*p(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58927239.6 - -58926884.600119. Let f = b + 355. Round f to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 13) to base 7\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w. Let z(b) = 1486 - 3*b**2 - 1486. Calculate z(h(r)).\nAnswer: -48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140939614 is divided by 327.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 8*x**3 - 12*x + 3. Let p(w) = 16*w**3 - 23*w + 5. Let b = 42 + -47. Let t(q) = b*h(q) + 3*p(q). What is the second derivative of t(s) wrt s?\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -42 + (-1 - (-4 + 1))\/(-2). Let y = g + 46. Suppose 4*b + 272 = 4*z, y*z + b = -2*z + 334. Does 7 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -o**4\/4 + 2*o**3 - 5*o**2 + 4*o - 1448. Suppose 0 = 4*w - 5*z - 16, -z + 3 = -2*w + 11. Determine h(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + (sqrt(275)*-2)**2 + (sqrt(275) - 1*(0 + sqrt(275)))).\nAnswer: -5505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/90 and 59\/1045155.\nAnswer: 6270930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 2:46 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h - 17 - 1. Sort -26, 1, 4, h.\nAnswer: -26, 1, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1420 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*p**4*z**3 - 32600566*p**3 + p*z**2 + 66471470*z**3 wrt p.\nAnswer: 36*p**2*z**3 - 195603396*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -8462610 divided by 846261\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (131\/(-1179))\/(15792\/188*(-4)\/54)?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -161682 in ascending order.\nAnswer: -161682, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 5*x - 83 + 57, 5*x + 4*g - 28 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 727, 2924, 6593, 11734?\nAnswer: 18347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 7:57 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -254*h*k*p**2 + 2*h*k*p + 3*h*p**4 - 223*h*p - 3*h wrt p.\nAnswer: -508*h*k + 36*h*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -12. Suppose -a = 2*k - 4. Determine l, given that 6 - 6*l**2 + 10 - 4*l**2 + 25*l - k = 0.\nAnswer: -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -12*v + 7*v + 31, -4*v + 8 = -2*m. Put -7, -6, -2, 4, v in decreasing order.\nAnswer: v, 4, -2, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5 - 10 = 0. Let w = -9.12 + 0.12. Let l = w + 4. Put -3, q, l in increasing order.\nAnswer: l, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 31*i - i**2 - 7*i + 0*i**2 - 2*i**2 = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l - 7. Let f(q) = -q + 3. Let m(c) = -c - 8. Let r be m(-14). Suppose 0 = -a + r - 3. Calculate a*t(k) + 7*f(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 359357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 5*h**4 + 255*h**3 - 5*h**2 - 255*h = 0.\nAnswer: -51, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22 + 3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -2. Let y be 1 + (x - -3) - 1. Suppose y = -2*o + 5*t - 10, 0 = -5*t + 1 + 9. Solve o - 8 = 2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j + 4. Let w be b(-3). Let q(g) = g**3 + 4*g**2 - 7*g - 7. Let d be q(w). Solve -d*c - 5*r - 13 = 0, r - 2*r = -4*c - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + -1. Let v be ((-40)\/(-2))\/(w + 4). Solve d + d = v for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 - -46 - (0 + 0 - 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 63255429.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m**2 - 1. Let w be d(2). Let o = w - -18. Suppose 3*j + 4*n - 10 = j, 0 = o*j + 3*n - 18. Sort j, 4, 1 in decreasing order.\nAnswer: 4, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1578 and 408.\nAnswer: 107304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17206?\nAnswer: 2, 7, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/28 and -41\/49.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*p = -177, 145 = 4*v + 5*p + 33. Suppose -5*n - 3*b + 1134 = -259, -567 = -3*n + 43*b. Calculate the greatest common divisor of v and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.76 + 13. Let t = 12600833 - 12600832.75999994. Let l = t - x. What is l rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22054 + -4?\nAnswer: -22058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/1299, 67.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1615035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/((-644)\/69))\/(6\/(-208))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 0*u + 3*u)*(5 + 5 + 5)*(-3*u**2 + 3*u**2 - 2*u**3)*(0 + 4 - 2).\nAnswer: -60*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a century in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/49)\/((-876)\/2044). Suppose -4 = 3*d + 2*c, 2*c = -8*d + 3*d. Suppose -a = -1 + 3. Put -3, a, d, g in increasing order.\nAnswer: -3, a, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + -23 + -10 - -28.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/7 + (-38)\/(-14). Suppose 0 = 3*k - 4*f + 3*f - 35, 3*k - n*f = 45. What is the least common multiple of 14 and k?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 3208497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53882542 divided by 7.\nAnswer: -7697506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 26100*m - 16402*m + 26.\nAnswer: 9698*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.398 + 0.518. Let q = 0.08 - h. What is the fourth biggest value in -1\/5, -5, -2\/17, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/54 and 79\/59728?\nAnswer: 1612656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 0*a**2 + 12\/7*a**5 - 2*a**4 + 16\/21*a**3 + 3 - 3\/7*a**6 + 0*a. Factor d(r).\nAnswer: -2*r**2*(r - 2)*(3*r - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of 0*u**3 + 0 + 0*u + 1\/3*u**4 - u**2 - 2\/15*u**5. Find the second derivative of w(t) wrt t.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7567 + -4467. What is the units digit of 4\/(-22) + -17*o\/(-55)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 6. Suppose 2*w = 2, 3*w + 12 = 8*k - o*k. Suppose -54 = -3*b - k*j, b + 4*j - 2 - 1 = 0. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1096, -4654, -10586, -18892, -29572?\nAnswer: -42626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 21*s**2 + 17*s + 48. Let p be u(22). Let a = p + 69. Calculate the lowest common multiple of 14 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)\/h*h*h)\/h**(-2\/5) assuming h is positive.\nAnswer: h**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/32 and -97\/212.\nAnswer: 1696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81 - 78. Solve -d - 3*o - 21 = -x*d, 5*o + 25 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56755 to the power of 1\/2, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -5*r + 3*g + 8, 2*r - 7 = -5*g for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o - 30. What is a(-9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114410013?\nAnswer: 3, 683, 55837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**4*y*(y*y**15)\/y assuming y is positive.\nAnswer: y**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*t**2 - 43*t - 41*t - t**3 - 21*t + 101*t to p*t + g*t**2 + c + r*t**3 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33549 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-8)\/(-1))*19\/((-3990)\/(-24))?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h**3 + 3*h**3 + h**3 - 4 + 26*h + 5*h**2 - 23*h. Calculate w(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 1) + 51 + -50?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/14 - 992\/(-224)) + (-159)\/36.\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 + -24. Let z = j + -5. Suppose -2*c = -5*a + 8, 2*a + 2*a = 4*c - 8. What is the highest common divisor of c and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -337, -4, -65.\nAnswer: -337, -65, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*p + 13. Find the third derivative of -7*a**p + 0*a**6 + 4*a**6 + 4*a**2 wrt a.\nAnswer: -360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1*(((-1*sqrt(192) - sqrt(192)) + sqrt(192) + sqrt(192))*4 + sqrt(192))**2)*-3.\nAnswer: -579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 10\/7 of a week?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 2*h + 2179. Let o be (0 - 3\/(-1)) + -7 + 4. Is z(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1\/4))\/((h*h\/h**(-11))\/h))\/(h**(-3\/2))**(-2) assuming h is positive.\nAnswer: h**(-57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -119*h - 17*h - 51*h + (-4 + 2 + 1)*(-2*h + 3*h - 3*h).\nAnswer: -185*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2368 = 204*y + 92*y - 53 + 27285 for y.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3\/8)\/y)**(-9\/11)\/(y**(2\/31)*y)**(-7))**(-2\/31) assuming y is positive.\nAnswer: y**(-2127\/3844)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 13970.977984 to the nearest ten.\nAnswer: 13970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - d + 2. Let i be 86\/18 - d\/9. Let s = i - 0. Solve -s*l + 4 = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6490 divide 186133200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 6:40 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 7*j**2 - 15*j + 2. Let k be q(8). Suppose -k = h + 565. Let i = 1482 + h. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(25)\/sqrt(5)*-6 - (-2 + (sqrt(10)\/sqrt(2))**2 + 2*(sqrt(5)*-1 + sqrt(5))).\nAnswer: -3 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-11)*z**8*(z**(-5\/4))**32)**(5\/2) assuming z is positive.\nAnswer: z**(-215\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 2 - (0 + -20 - 0) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 8:37 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/24*(-1)\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**4\/8 - 2*h**3\/3 + 5*h**2. Suppose 3*r + 19 = 1. Calculate the remainder when 53 is divided by o(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 1:14 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -60.405379?\nAnswer: -30.2026895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 2)\/2 + -2. Let a(r) = 2*r**2 - 2*r - 3. Let j be (-73)\/(-5) + 12\/30. Let m(y) = -3*y**2 - 12*y + 0*y**2 + 5 + j*y + 0*y**2. Give b*m(t) - 5*a(t).\nAnswer: -t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2200 and 11085800?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -6.2. Let c = -0.8 + s. Put -5, c, -3 in descending order.\nAnswer: c, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = 11*k - 364. What is the greatest common divisor of k and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w**2. Let x(o) = -30*o**2. Determine y(x(j)).\nAnswer: 2700*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 618*j = -610*j + 269, j = -3*v - 18 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-1)\/(-13)*-1. Let u = i - 41\/26. Let y = -0.05 + 0.25. What is the closest to -1 in y, -0.2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (238\/77 + -3)*(2 + 0)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*w**2 + 12*w - 29*w + 7*w wrt w?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.10696 rounded to 2 decimal places?\nAnswer: -25.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 82*a + 3. Let r(t) = -685*t - 25. Let z(o) = 9*r(o) + 75*x(o). Let d(l) = 19*l. Determine z(d(m)).\nAnswer: -285*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/76 and 13\/380.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 3 - 11. Find the second derivative of -w**3 - o*w**3 - w + 6*w**3 + 0*w wrt w.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.103*0.16\nAnswer: -1.13648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 206713, 409856, 612997, 816136?\n\"Answer: -d**2 + 203146*d + 3568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29*(-204)\/45356*23.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3990 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139067180 is divided by 701?\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 2.22. Let l = 0.151667 - 0.37166662. Let x = r + l. What is x rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*(z\/(z**(-2\/3)*z))\/z)**23)**(-12))**(-2\/65))**(-3\/31) assuming z is positive.\nAnswer: z**(-1104\/2015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115 a factor of 37279354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 134965576 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((0 + sqrt(1053) + 1)**2 + 0) - (2 + (sqrt(1053)*-1*6 + -2)**2).\nAnswer: -44238 - 324*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((21692\/(-145))\/44)\/((-3)\/(-30)*-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1978 - -27677\/14. Are 0 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (430\/(-258))\/((-160)\/2592)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = -5*c + 4*d - 5 + 17, 9*d = 14*c - 8*d - 246 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/6)\/(2\/12). Let l be q\/7*(-1 - -8). Suppose -l*b = 10, 8*v + 5 = 4*v - b. Solve 3*d + 6 = -v*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of d**4\/4 + 5*d**3\/3 + 6*d - 2. Let w be k(-5). Suppose -4*j - 10 = -2*v, w*v = v + 5*j + 30. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/1 + -2 + 5. Suppose s*b - 3*q - 19 = 0, 0 = -4*b - 2*q - q + 13. Solve -4*v + b = -4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7\/4 and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -521223499*p**3 + 31500*p**2 + 1189*p?\nAnswer: -3127340994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 7:31 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*v + 9. Let c(s) = 121*s - 2 + v - 98*s. What are the prime factors of c(2)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005024565 to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1))**(-14)*(o*o**(-3\/2))\/o**1)\/((o**(-1)\/o**(1\/6))\/(o**(2\/9)\/(o**(-2\/5)\/o))) assuming o is positive.\nAnswer: o**(688\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*r = 5*b - 8, b - 3 = -r. Suppose 5*s - 3*d = 69, -3*d + 7*d = s - b. What is the highest common divisor of s and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 32. Let s be (2*2\/(-3))\/(8\/w). Factor 6 + 11*v + 5*v**2 + 7*v**2 + 5*v - s*v**4.\nAnswer: -2*(v - 3)*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 823777 at least as big as 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 51454*c**6*y + 2*c**5*y + 327*c**2 - 128*c*y wrt c.\nAnswer: 6174480*c**3*y + 120*c**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 12:02 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n**2 + 5*n - 3. Give o(4).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/297 - -97\/297. Is v bigger than -0.041?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1234.3684 - -0.0316. Let c = 1301.355 - x. Let w = -67 + c. Round w to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186058 is divided by 1001.\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 277643895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1253*x - 2 + 0 + 2.\nAnswer: -1253*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f - 2260628 = -126*f. What is the ten thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81692335 divided by 984245?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**3 + 12*b**3 - 9*b**3 + b**2 + (-1 + 3 - 1)*(-4 - 4 + 2)*(-4 + b + 4)*(-3*b**2 - b**2 + 2*b**2) as q + a*b**2 + j*b + h*b**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 22 (b) 5 (c) 3\/2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48*t**3 + 11187*t**2 + 12379345 with respect to t.\nAnswer: -144*t**2 + 22374*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0040893 and -14?\nAnswer: 13.9959107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 918678?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(2\/115))\/c)\/c*c\/(c\/((c**(-28)\/c)\/c)) assuming c is positive.\nAnswer: c**(-3563\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1496439667?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 8*x - 9. Let p be a(-7). Let m be (0 + 2)*-5*p. Let q be 92\/m - (-6)\/(-10). Solve s - 3*b = -14, q*b = -0*s - 3*s + 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 456 divide 328533864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.27 + -4.2698193. Round x to five dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*s - 3*s. Let r = 9 + -9. Let v(z) = z**2 - z + 2. Let o be v(r). Solve -s = f + o*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5982646846 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**10*m**(-2\/5))**(-4\/11)\/((m*m**(-2\/7)*m*m)**(-50)\/(m*m\/(m\/m**(-1)))**(-13\/4)) assuming m is positive.\nAnswer: m**(50906\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 22 - 10)*(2 - 4 + 1)*(t - 3*t + 3*t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-34)\/9 + (47 - 43). What is the closest to -2 in 0.5, -0.3, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -199 + 598\/3. Determine u, given that 2\/3*u**2 - u + v = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6838157.\nAnswer: 19, 491, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 3:29 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*v + 220*v + 2562 = -268*v + 11001 for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13615\/39 + 4530\/13. Find the common denominator of 64\/65 and f.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + (0 + 2 + -2 + -2*sqrt(108) + (sqrt(108) + sqrt(108) + -1)*5)**2).\nAnswer: -20808 + 1440*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 5*r - 2*r)*(2 - 2 - 3)*(4*r + 0*r - r) + 3*r**2 - r**2 - 4*r**2.\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4245404 (base 6) to base 11.\nAnswer: 132796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41019\/20 - 2051. Let m be ((-10)\/6)\/((-4)\/12). Sort -2, m, t in increasing order.\nAnswer: -2, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 4 + 11 + 0 + x.\nAnswer: x + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**3 + 2*j**2 + j - 1. Give i(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*p**2 - 31*p**2 - 13*p + 17*p as q + g*p**2 + a*p and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/45? (a) -6\/151 (b) -0.2 (c) 12\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vuuutzttzvlu. Give prob of sequence utvz.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 10:56 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.07 - 0.05. Let z = m - -0.2. Let v be 4\/3*(-582)\/194. Which is the third smallest value? (a) z (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -174.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1765097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 0*m - 4*j + 12938 = 12916, 0 = 3*m - 9*j + 99 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 + 63756*b**2 - 1655628*b + 10757188.\nAnswer: -4*(b - 15913)*(b - 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1705, -3403, -5101?\n\"Answer: -1698*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*a**2 - 49*a**2 - 45*a**2.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 213010220?\nAnswer: -213010213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/9 - 82*c**2\/9 - 266*c\/3 + 98.\nAnswer: -2*(c - 1)*(c + 21)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**3 + 4*l**2 - 4*l + 1. Let m(w) = w**3 + 3*w**2 - 5*w. Calculate 3*m(o) - 2*v(o).\nAnswer: -o**3 + o**2 - 7*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 - 47 = -4*z. Suppose 7*s - v = 2*s + z, -3*s - 5*v = -5. Solve -30 = -s*h - 10 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000025440064 rounded to 7 dps?\nAnswer: -0.0000254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161869545.\nAnswer: 3, 5, 853, 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 - 3 - (21 + (13 - 17))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*a**3*d**3*n**2 + a**3*d*n**2 - 2*a**3*d + 2*a**2*d*n - 3*a*d*n**2 + 13*a*d*n - 335*d**2*n**2 wrt d?\nAnswer: -42*a**3*d*n**2 - 670*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.298 and 0.3.\nAnswer: 0.0894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 + 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in decades?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 133591, 133612, 133633?\nAnswer: 133654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7538.\nAnswer: 2, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68987 is divided by 4566?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 205, 1261, 3231, 6175, 10153, 15225, 21451?\nAnswer: 28891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 6 - 1)*(-4 + 6 - 1)*((1 - 3 + 4)*(n - 8*n + 3*n) + 0*n + 3*n + n) in the form v + q*n and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, 8, 9215 in descending order.\nAnswer: 9215, 8, 6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**4 + 37*j - 2*j**2 + 6*j**3 + 2 - 35*j - 4 + j**4 as w + m*j**3 + h*j**4 + y*j**2 + p*j and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 64*j - 64*j - 7*j**2. Let d(b) = -3*b**2. What is z(d(x))?\nAnswer: -63*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 - 11*t - 2. Let x(g) = 3*g. Calculate n(x(b)).\nAnswer: 18*b**2 - 33*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -453*3\/(-9) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**3 + 0*i**3 - 10*i**3)*(-2 + 0 + 0) - i**3 + 2*i**3 + i**3 + 2*i**3 + 4*i**3 - 4*i**3.\nAnswer: 24*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1\/3)*z)**(-2\/13)\/(z**(-13)*z**(-4)) assuming z is positive.\nAnswer: z**(649\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1469 + -1464. What is the third smallest value in 0.01, 1\/3, -2\/17, m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, a: 2}. Give prob of sequence ppap.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-10) + (-161)\/140)*-4. Let r(f) = 2*f**2 - 2*f - 7. Calculate the remainder when r(d) is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 194*b**3 - 2*b**2 + 3*b - 87. Let c be t(18). Suppose -c = -3*u - 4*a + 1056289, -2*u = -a - 1457996. What is u rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/4251 + 471875\/59514. Let n = -818\/3 + 3235\/12. Find the common denominator of a and n.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c - c + c - 2)*(3 + 0 + 0) + (2*c - 2 + 2)*(-3 + 5 + 0) - 5*c + 3*c - c as h*c + a and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -122164 - -1024345141\/8385. Which is bigger: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 3*b + 10 - 91, -2*t + 3*b + 49 = 0. Solve -2*x + 5*y + 11 = -5*x, -4*x + t = -5*y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2863\/156 + -1958329\/468. Let m = -4174 - n. Find the common denominator of (-1)\/(-4) + 147\/12 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5831491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + k**2 - k. Let y(z) = -4*z**3 + 4*z**2 - 15*z. Let j(q) = -4*f(q) + y(q). What is the second derivative of j(p) wrt p?\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 190, 197, 216, 253, 314, 405, 532?\nAnswer: 701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 3*v + 6, 2*d + 4*v - 4 = 8*v. Let r = -27 - -38. What is the remainder when r is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j - 726. Let z(x) = 733. Calculate -5*i(w) - 6*z(w).\nAnswer: 5*w - 768","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09291 to three dps.\nAnswer: -0.093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 1, 2\/9, -1, 15 in increasing order.\nAnswer: -1, 2\/11, 2\/9, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -3\/25*c**5 + 8\/5*c + 13\/20*c**4 + 5 - 2\/5*c**2 - 14\/15*c**3. Determine y so that v(y) = 0.\nAnswer: -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 954\/12*(-8)\/3. Let n be (b\/(-36) + -6)*-2. Is n at most 69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*39.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 135 + 17 = 0. Suppose 0 = -k + s. Suppose -x = -2*l + 49, 0 = l - 4*x - x - k. Is l 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 -16, -39, -64, -91, -120, -151, -184?\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1911.376ml in litres?\nAnswer: 1.911376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1269 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04795152979 plus -7?\nAnswer: -6.95204847021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/(-6))\/(16\/6))\/(-1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 8. Suppose -p + s*u + 3*u + 11 = 0, p = 2*u + 7. What is the remainder when 1 is divided by p*2*3\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -63997 and 1\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77957 = 63520*q - 60863*q + 76149 for q.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 735, 4, 0.3, -19\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.11835 + -0.00969. Round k to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16338.3 times -1208?\nAnswer: -19736666.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 26, 42, 58, 74, 90?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (31 - (-9 - -20) - (0 - -3))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 m when three letters picked without replacement from {z: 3, m: 13}.\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/368 and 57\/506?\nAnswer: 4048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412 is divided by 71?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-72)\/(-3136)*21)\/12. Let w(y) be the third derivative of -1\/4*y**6 + 1\/5*y**5 + 3\/70*y**7 + 0*y**4 + 0*y**3 + y**2 + 0*y + n*y**8 + 0. Factor w(x).\nAnswer: 3*x**2*(x + 2)*(3*x - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 33 - 5?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336*k = 343*k - 825041. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 12*v**2 - 31*v - 2. Is k(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -872004 (base 9) to base 13\nAnswer: -152782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*x = -2*x - 11514. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/4 + 154103*v\/4 + 9144645.\nAnswer: -(v - 154340)*(v + 237)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 19 = 3*i, 2*i + 3 = 6*i - j. Differentiate 15 - 19 + 3*x**2 + i*x**2 with respect to x.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + 2544172753.5919.\nAnswer: 2544172753.3919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 146*m**2 + 38 - 21.\nAnswer: -146*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 933 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: Is 82 less than or equal to 37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 1:35 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -6.32 and 262.\nAnswer: 255.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -24. Suppose -10*c = -3*c - 161. What is the remainder when c is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/((3\/4)\/3). Suppose -2*z + 5*i - 27 = 0, -12 = 4*z - 0*z + 4*i. What are the prime factors of w\/z*(-4 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k. Let v(u) be the first derivative of -826*u**2 - u - 6220. Determine z(v(p)).\nAnswer: -3304*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 887960828.\nAnswer: 2, 221990207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((168\/10)\/6)\/((-4)\/(-10)). Let r(w) = 2*w + 3. Let m(g) = -6*g - 10. What is t*r(d) + 2*m(d)?\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21002 (base 4) to base 10.\nAnswer: -578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 1480 = 5*y + 2991 - 1426, -4*s = 4*y + 32 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 7 = q - 2*q, -9*q + 2*m = 75 - 62 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*r - 7. Suppose 3*c + 1046 = g, -935 = -r*g - 4*c + 2268. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 84 + 462. Let m = z + 109. Let l = m + 164. Calculate the highest common divisor of l and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.1 not equal to 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 230 - 73. Let h = -156.11 + n. Let t = -0.42 + h. What is t rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 68.000215 + -68. Round k to 5 dps.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**4\/6 + 3*u**3\/2 + 7*u**2\/2 - 3*u. Let o be -4 + 5\/((-10)\/4). Is 14 a factor of a(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/(-1)*40\/(-14). Solve 2*a + 2*a = g for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3}. What is prob of sequence ooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -f - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 61587, -0.08, -0.1, -3\/7?\nAnswer: 61587","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2633270, -5266503, -7899708, -10532873, -13165986, -15799035, -18432008?\nAnswer: -21064893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18597*h**2 + 6203*h**2 + 6182*h**2 + 6134*h**2.\nAnswer: -78*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -15) + (-1 - -3 - 7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1300)*2 + sqrt(208) + -2)**2*-6.\nAnswer: -3456*sqrt(13) + 269712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 3. Suppose -4 = -4*o - 0. Let l = o + -3. Sort 0, l, q in decreasing order.\nAnswer: q, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 5*x + 40, 3*z + 5*x = -z. Suppose -2*k + 3*m = k - 90, 50 = 3*k + z*m. Solve 2*a = -3*a - k for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21653.71 + -21654. What is the second biggest value in u, -0.2, 86?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d - 8. Calculate v(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 12:46 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c - 11. Let a(o) = o + 6. Let l(i) = -9*a(i) - 4*u(i). Let s be (-54)\/81 + (-1)\/3*10. Let b be (-1)\/(s - 42\/(-10)). Calculate l(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 0.09 (c) 48 (d) -33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/50)\/(4\/(-30)) - 6\/(-2).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 24115302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 5)*(-9)\/(-162).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 15*z**2 + 12*z - 12. Let g be (-1*-1*2)\/(-2). Let v(w) = -w**2 - w + 1. Let h(u) = g*d(u) - 12*v(u). Let c(m) = -3*m. Determine c(h(k)).\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12375*m**5 + 88925*m**4 + 315585*m**3 + 316295*m**2 + 103410*m + 1400 = 0.\nAnswer: -1, -4\/5, -7\/495, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 36 = -3*x, -13 = 2*x + 3*c - 37. Solve -t = 11 - x for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 - -11100101110111111?\nAnswer: 11100101110110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28996 and 220.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*t - a - 3*a, a = -t + 5. Solve -2*d = -2*m, -7*m + t*m - 8 = 5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3883287715 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 12*l**2. Let n(w) = 2009*w - 378. Let f(o) = 201*o - 36. Let c(y) = 42*f(y) - 4*n(y). Determine j(c(u)).\nAnswer: 1978032*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f. Let i(k) = 401*k**2. Give i(b(p)).\nAnswer: 1604*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 0, 0 = -3*o - 2*w + w - 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -50*j + 60. Let w(y) = -12*y + 14. Let i(k) = -2*a(k) + 9*w(k). Determine i(8).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57640 is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5388785*g**5 - 360*g**2 - 2833.\nAnswer: -323327100*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence raa when three letters picked without replacement from {z: 2, y: 9, f: 1, a: 3, r: 2, t: 1}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1773 take away -15192550?\nAnswer: 15190777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4110 and 295235?\nAnswer: 1771410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express ((d + d + 2*d)*(-2 + 2 - 1) - 2 - 2*d + 2 - 4*d - d - d)*(-2*d**2 - 3*d + 3*d) in the form o*d + j + u*d**3 + l*d**2 and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 61.3, 27\/7, 3\/5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228685736?\nAnswer: 2, 28585717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/11, -1\/2, -189, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 474609124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yryfeqyqryfyffrf. Give prob of picking 2 f and 1 y.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 100102201001222?\nAnswer: 100102201002002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 106*r**2 - 53 - 16*r**6 - r**6 + 23 + 30 wrt r?\nAnswer: -2040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10680000 rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 32704352 and -0.43.\nAnswer: -14062871.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/11, 2, -1\/32, 0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3896, -7807, -11732, -15677, -19648, -23651, -27692, -31777?\nAnswer: -35912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 656? (a) 5 (b) -0.395 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 222702 and 30.\nAnswer: 1113510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 51 + 5 + -1 - 6. Suppose -24 = -x - 3. Calculate the greatest common divisor of x and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1432239 and 41781.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -1 - -4) + -2 + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 5, o: 3}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -28 and -44.\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**2\/19 + 182470*j\/19 + 26234208\/19 = 0.\nAnswer: -91091, -144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 214, -1285, 1, -25 in descending order.\nAnswer: 214, 1, -25, -1285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*v - 20, 12*r + v + 4 = 16*r. Solve r = 13*o - 160 + 199 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {h: 2, l: 6}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3002021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -19*o**3 + 2*o**2 - 1. Let s be d(-3). Suppose -6*v + s = -v. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*1*-2)\/sqrt(4)*-6.\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15618 - -17749. Is 259 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3657 a factor of 168153710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -2 (c) -0.2 (d) -4\/85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*v**2 + 253 - 85 - 3*v**2 + v**2 to the form w*v**2 + i*v + k and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - 53 = -83 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 1 - (-36)\/2. Let j = -13 + d. Suppose 2*o - 18*r = -19*r + 34, 4*o - 5*r - 68 = 0. Calculate the remainder when o is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-6) + (-25)\/42. Let s = k - 457\/28. Calculate the common denominator of 55\/58 and s.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*m**2 - 2*m**3 + 66*m**2 + 38*m**2 - 51*m**2.\nAnswer: -2*m**3 + 141*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 17 + 5*f - 5*f + 5 - 61*f**3 + 5*f. Let a(t) = 275*t**3 - 22*t - 99. Let x(p) = 5*a(p) + 22*j(p). Differentiate x(o) with respect to o.\nAnswer: 99*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 1 - 1)*(21*s**2 + 0*s**2 - 3*s**2) + 7*s**3 - 3*s**3 + s**3.\nAnswer: 41*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -181.90194 - -5.91084. Let s = -228 + 404. Let y = s + z. Round y to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4442154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/65 (b) 18 (c) -0.5 (d) -11101\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56936 is divided by 18962?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -95 in 2, 0.5, 3\/5, -6, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.4562605 take away -4853?\nAnswer: 4874.4562605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 24 = -5*o, 2*o + 6 - 26 = -7*m. Solve 0 = -5*k - 5, 15*a - 13*a = m*k - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31093 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 12) to base 14.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2472*s = 2450*s + 52624. Does 26 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.9 in 0, -2\/5, -1\/7, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**3 - 3*x**3 - x**3 + (138*x**2 + 83*x**2 - 73*x**2 - 1)*(2 - 5 + 5 - x).\nAnswer: -149*x**3 + 296*x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 + 50151310?\nAnswer: 50151321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -448*i + 445*i = -3*h - 6, 3*i + 3 = 6*h for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 17*o**6\/540 - 19*o**5\/270 - 25*o**4\/27 + 4*o**3\/9 + 76*o**2. Determine j so that u(j) = 0.\nAnswer: -2, 2\/17, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 3) + (-1 - -3 - 3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 17*b**2 + 6994*b - 270438. What is v(-447)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**(-6)*f)*f)\/f**11)\/((f**(-3)\/f*f)\/(f\/(f*f**(-6\/7)*f))) assuming f is positive.\nAnswer: f**(-99\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 11:59 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*x = -x - 6120. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/(((-25)\/(-200))\/(39\/12))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 448 = -2*g - 2*f, 0 = 5*g - 2*f - 1108. Let l = g - 3741\/17. Which is bigger: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 345 - 56 = 17*q. What is the remainder when 29 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(605) + -2)*2 + -4*(1 + sqrt(605) + sqrt(605) - sqrt(605)) + 4)*-5 + -1)**2.\nAnswer: -104720*sqrt(5) + 982161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1))**(10\/9)\/(h\/h**(-1\/7)*h**(-2\/13)*h*h))\/((h**1*h)**(-2\/3))**(4\/25) assuming h is positive.\nAnswer: h**(-79582\/20475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204 and 2892108?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 - 91. Let k = -109 - j. What is the remainder when 43 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6 + 6*r - 3 - 4 - 2. Let l be t(-2). Let o be (-4)\/10 + (-21)\/l. Let i(b) = -18*b**3 - b**2. Calculate i(o).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16216326 divided by 10066\nAnswer: 1611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 355224 and 5016.\nAnswer: 3907464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37246 = -13*l + 35*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -129.647 + 0.747. Let j = g + 129. Which is the second smallest value? (a) j (b) -0.2 (c) -2\/9 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 w when two letters picked without replacement from {a: 1, j: 2, w: 7}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/3)\/c**(-2\/15))\/((c*c**(-1\/3))\/c)**(-3))**(-6) assuming c is positive.\nAnswer: c**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - g**2 - 1)*(-1 - 5 - 3*g - 1).\nAnswer: 3*g**3 + 7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70*w - 64*w + 32 + 10 + 150*w)*(-2*w + 0*w + w).\nAnswer: -16*w**2 - 42*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -15*p**2 + 17*p**2 - 2*p + 2*p. Let m(i) = -7*i - 2. Let n(l) = -295*l - 85. Let s(f) = 255*m(f) - 6*n(f). Calculate g(s(u)).\nAnswer: 450*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*m - 33*m + 22 = -5*c, -c - 4*m = -14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 8:20 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -69 divided by -23\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0, -1\/4, 26\/5 in descending order.\nAnswer: 26\/5, 0, -1\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 148\/5 (b) -2 (c) 0 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53877.9 + 56146. What is v rounded to the nearest 100?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71 - 70. Sort -1.5, b, 3, 2\/9 in increasing order.\nAnswer: -1.5, 2\/9, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 357569?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29488 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - 0.4. Let p = u - -1.2. Let f = p + -1.000004. What is f rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-2))\/((-3)\/(-10)). Suppose 3*q - 29 = a*u - u, -2*q + 22 = -3*u. Let d(m) = -3*m - 9. Let f be d(u). Solve 0*s = 5*s + f for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r = -14*r + 1050. Suppose -12*z + 95 = r. Solve -d - l - 3 = 0, z*d + 3*l = l for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 686\/56595*(-1716)\/(-13)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/1 + (21 - 2). Suppose -u - 4*k + b = 0, k + k = -5*u + 33. Let q(c) be the second derivative of -c**3\/6 - c**2\/2 - 1715*c. Give q(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87385 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 17278*v**2 + 3 - 11 - 36*v**3.\nAnswer: -36*v**3 + 17278*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v*v**(-1))*v)\/v*v*v**(-3\/7) assuming v is positive.\nAnswer: v**(18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*b = 21, -5*o - 4 - 1 = -5*b. Solve -16*n + o = -17*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/75*-1)\/((-5)\/250).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -57, -119, -179, -231, -269?\n\"Answer: g**3 - 5*g**2 - 54*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) 284 (c) -14 (d) 1\/6 (e) 3 (f) 10 (g) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**3 + 7*v**2 - 11*v - 204. Let l(a) = a**3 - 5*a**2 + 7*a + 136. Let n = 139 + -144. Let m(r) = n*d(r) - 7*l(r). Differentiate m(t) wrt t.\nAnswer: 9*t**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 4*s**2 + 2*s - 3. Let g(j) = -j**3 - 10*j**2 - 10*j - 6. Let v be g(-9). Suppose -2*f - 3 - v = 0. Let c be k(f). Solve 4*z = -4 - c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.2 = 91\/22881?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1800)\/(-54)*42\/(-35)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i. Let g be w(1). Let q = 0.16 - 0.06. What is the second smallest value in 1, g, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -q - 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of p**5\/20 - p**4\/8 + 2*p**3\/3 + 10*p. Let o(q) be the second derivative of t(q). Give o(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y + 0*y + y - 7 - y. Let h(j) = 4*j - 8. Let i(s) = 5*d(s) - 4*h(s). Determine i(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7900, 7732, 7328, 6694, 5836?\n\"Answer: u**3 - 124*u**2 + 197*u + 7826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6438*z + 132 = -6426*z for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/7*u**3 - 40 + 40\/7*u**2 - 44\/7*u = 0.\nAnswer: -2, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 82 - 82. Put -5, 2, 1, o in decreasing order.\nAnswer: 2, 1, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 224 and 256?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q + 79. List the prime factors of k(0).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*j + 43 - 43)*(2 - 3*j - 2) + 1832 + 7*j**2 - 1832.\nAnswer: 49*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 - 1. Let m be ((-4)\/(-18))\/((-2)\/(-18)). List the prime factors of z(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2287f (base 16) to base 2.\nAnswer: 100010100001111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**4 - 20*g**3 + 32*g**2 + 48*g = 0. What is g?\nAnswer: -6, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-2 - 9 - 1)*(6*i**2 - 4*i**2 - 1 - 2).\nAnswer: -24*i**2 + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 388213905?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 (base 6) in base 2?\nAnswer: -111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 557591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 23 = 4*c, 0*c + 4*c + 4*l - 20 = 0. Suppose -10 = -4*w + c*w. Let k(r) = 3*r + 4. Calculate k(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 22533735?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1655522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 302 and 9815?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2430, -7341, -17112, -26883, -36654?\n\"Answer: -9771*k + 12201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25 and -17.624.\nAnswer: 440.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-6*(((sqrt(240)*-5)\/sqrt(4))\/(sqrt(12) + sqrt(972)*-4)*4)**2*-5.\nAnswer: -12000\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, a: 9, h: 4}. What is prob of picking 1 g and 3 a?\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 2*k + 12, v + 0*v - 3*k - 7 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -30. Put y, -2\/5, -1 in decreasing order.\nAnswer: y, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 14 = -3*l, 10 + 2 = -3*l. Let p(o) be the first derivative of 0*o - 3 - 1\/3*o**3 + 0*o**f. Let q(v) = 2*v. Give p(q(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 4*d + 188, 0*d = 3*k - d + 268. What are the prime factors of 2\/(-8) - k\/8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2370 + -106654\/45. Calculate the common denominator of m and 49\/81.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -3*m - 4 - 10, -9 = -2*m + c. What is the derivative of m*h**3 + 3*h**3 + h**3 + 0*h**3 + 5 wrt h?\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/10 - (-10)\/(-4) - -152. Find the second derivative of 62*k + 1 - 193*k**5 - 301*k**5 + h*k**5 - 1 wrt k.\nAnswer: -6880*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4daa (base 15) to base 12\nAnswer: -9721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 528575.56 rounded to the nearest ten thousand?\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohlojooohoooooov. Give prob of picking 2 h.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -43*b + 293. Let h be n(6). Solve -17*o = -13*o + 5*k - h, 34 = 5*o + 3*k for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -35165*j + 597834. What is a(17)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6201 - 6208. Which is the closest to k? (a) 0.5 (b) 32 (c) -5 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1256526 is divided by 2189?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1280 + -871. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8912 by 16.\nAnswer: -557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11404439 is divided by 6829.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u + 8*u - 50 = 0. Let t = -11 - u. Let s be ((-6)\/(-14))\/(4\/(-14)). Which is smaller: t or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*sqrt(700))*-4 + (sqrt(448)*4)\/(sqrt(16)\/sqrt(16) + sqrt(4) + sqrt(4) - sqrt(4)).\nAnswer: -4 + 272*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1253*(9 + 46\/(-7))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/12177 and -169\/143418.\nAnswer: 1290762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**3 - 4*v**4 + 2*v**3 + (-1 + 1 + 3*v)*(-v**3 + 4*v**3 - 4*v**3) + 4*v**4 - v**4 - 5*v**4 as m*v**2 + l + h*v**3 + w*v**4 + y*v and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**3 + 2*h**2 + 2*h. Let c be (-32)\/88*275\/25. Let f(u) = u**2 + u. What is c*f(k) + q(k)?\nAnswer: 3*k**3 - 2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/31? (a) 3\/5 (b) -0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 divided by 41?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72 + -66. Suppose q*r - 1192 = 542. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) 4 (c) -68 (d) -4 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -175 + 355 - 181 + 334*w - 338*w. Suppose -1 + 2 = -v, 0 = -4*l - 5*v - 9. Calculate p(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -2145?\nAnswer: 2140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -553834 (base 11) to base 12.\nAnswer: -367316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 19 + 80 = 0. Solve 0 = -v*p + 8*p - 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**33*v*v*v*v)\/(v*v*v**(1\/5)\/v) assuming v is positive.\nAnswer: v**(189\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 231 and 32913.\nAnswer: 2534301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -19*m**4\/6 - m**3\/3 + m**2 + 4970*m. Let h(x) = -455*x**2 - 25*x + 25. Give 2*h(y) - 25*z(y).\nAnswer: 40*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0399 and -32.\nAnswer: -1.2768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2003.2 + -2003. Which is the third biggest value? (a) 0.01 (b) t (c) 0.4 (d) 0.02 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m + 9. Give r(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 686.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51.05 - -50. Let a = 0.05 + s. Is -2 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/7 (b) -5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 60160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -10 (b) -1 (c) 115 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (1*sqrt(300) - sqrt(300))*3 + 5)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 50*((-1017)\/(-9) + 6). What is the highest common divisor of h and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/9)*z**(-7\/4))\/(z**(2\/13)*z*z**16) assuming z is positive.\nAnswer: z**(-8795\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 467 divided by -1520.\nAnswer: -467\/1520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 11. Solve -b - 17 = -5*y - 0*y, q*y = -4*b + 28 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-364)\/(-65)*(-2)\/(-4). Is 4 at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21736 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2 - 5*r + 6. Let i(d) = 3*d**2 + 6*d - 7. What is 5*g(u) + 4*i(u)?\nAnswer: 2*u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -12 - 23 - -10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*w**5 - 4*w**5 + 3*w**5 + (0*w + 0*w - w**2)*(0*w**3 - w**3 + 3*w**3) + 0*w**5 - 3*w**5 + w**5.\nAnswer: 5*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjjyjyjyyyfj. What is prob of sequence yj?\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -2*b**4\/11 - 40*b**3\/33 - 17*b**2\/11 - 8*b\/11 - 5. Suppose z(s) = 0. Calculate s.\nAnswer: -4, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -425\/9 equal to -128.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**4 - 29844*x**3 + 9972846*x**2 - 1094810388*x + 39919268925 = 0.\nAnswer: -10275, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 v when four letters picked without replacement from {g: 1, x: 1, l: 3, o: 7, v: 2}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -9115.\nAnswer: 1823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7550442 (base 8) to base 12\nAnswer: -814916","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen quarters of a gram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2459.\nAnswer: 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*o**5*p + 4*o**3 + 6033878*o**2*p - 23396848*o*p - p + 2 wrt o?\nAnswer: -60*o**3*p + 24*o + 12067756*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 10*l**2 - l + 1. Let c be f(10). Let z = 40 + c. What is the remainder when z is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 199107, 199106, 199105, 199104, 199103, 199102?\n\"Answer: -l + 199108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348*x = -8948 + 3032 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30967 and 3979?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**4\/(i\/((i**(-7\/4)*i)\/i)))\/((i**11*i)\/((i*i\/((((i*i*i**(-12)*i*i)\/i*i)\/i)\/i)*i)\/i)) assuming i is positive.\nAnswer: i**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) 0.1 (c) -37 (d) 3 (e) 4 (f) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 223235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3*r - 25, -5*f + 54 - 19 = 5*r. Suppose -5*j = -r*v + 10, -2*v = 2*v + 2*j - 48. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 - -0.21. Let n = x + -0.74. Let l = 0.6331 + n. What is l rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*w + 2712 + 1068 = -62*w for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 19*w**4\/4 + 66*w**3 - 7*w**2 = 0. Calculate w.\nAnswer: -14, 0, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -7. Suppose u = 45 + b. Round u to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 - -c?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 1\/2*i**3 + 0 - 2*i - i**2. Determine m(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2283 - 2202) + (-69 - 5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lulluulululuulluul. What is prob of sequence uull?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10183000?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31486*i - 29388*i + 186722 = 0 for i.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 65603619 to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90982.32l to millilitres.\nAnswer: 90982320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31496.\nAnswer: 2, 31, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30860*v - 3*v**2 - 30860*v.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-24)*(1 + -1). Suppose 364 = 4*s - 2*a - k*a, 0 = -3*s - 5*a + 299. Suppose -s = 7*u - 555. Is 11 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 396113 - 396028 = 0 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -146?\nAnswer: 13\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31561310 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 7. Let n be u(-5). Let s be 169 + -2 + 2\/n. Suppose 10*t - s = 3*t. Is t a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -2. Let j(o) = o**3 - o**2 - 3*o - 3. Let x be j(l). Let h be 2\/((20\/x)\/5). Solve -h*g + 1 = 7 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 15*n**2 + 16*n - 24. Let g be h(-12). What is the greatest common factor of 24 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**5\/8 + 37*t**4\/8 + 79*t**3\/4 + 121*t**2\/4 + 163*t\/8 + 41\/8.\nAnswer: -(t - 41)*(t + 1)**4\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-4 + 3)*4. Suppose w*d = 2*y - 55 - 59, -d = y - 45. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61*u - 102*u + 68*u)*((-2 + 0 + 3)*(-4*u + 3*u + 2*u) + u - 2*u + 2*u + 5 - 5 + 5*u).\nAnswer: 189*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -7*u**2 - 3*u - 4. Let z(v) = 15 - 2*v**2 + 3*v - 12 + 8*v**2. Let w be -6 + -8*(-7)\/28 + -1. Determine w*z(a) - 4*j(a).\nAnswer: -2*a**2 - 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 10:27 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 195580 divided by -2540\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1631 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200101 - -12?\nAnswer: -200012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131475 - 131091 = -32*c for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-12))\/((-2)\/(-12)). Let x = 4 + -3. What is the derivative of c*v - x + v - 2*v - 1 wrt v?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23764\/51 - -466. Which is bigger: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 7*w - 77. Let t be r(11). Suppose -2*d + 4*f - 6 = t, 3*d + 4*f = 6*d + 3. Which is the closest to d? (a) -2 (b) 4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 8 = 2*l - 5*s, -s = -l. Suppose 2*y + 4*h = l*y - 1, -4*y = h - 33. Solve -5*r + 2 - y = 2*i, 0 = 2*r - 5*i - 27 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -47.77, 9.25, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2322106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v + 72*v**2 - 62*v**2 + 3*v.\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6256472*-2\nAnswer: 12512944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, a: 3, x: 8, i: 2}. What is prob of picking 1 a and 1 x?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-15)\/6*144\/(-30) and 300.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 51.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -6*g**4 + 2728*g**3 - 33782*g**2 + 83908*g + 31824 = 0.\nAnswer: -1\/3, 4, 9, 442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - u + u + (15 + 10 - 12)*(3*u + 0*u - u))*(2*u + 2 - 3 + 2) + (u + 5 - 5)*(0*u + u + 0*u).\nAnswer: 55*u**2 + 27*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11951242 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(64\/(-372)))\/(1\/(-10)). Let b = -4232\/9 + m. What is the common denominator of 46\/27 and b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 4*n + 7, n + 0 + 4 = -j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d. Let f be n(-4). Let j be 19\/((-3 - -1)\/2). Let y = -14 - j. Solve -17 = f*b - y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 729279, 729283, 729289, 729297, 729307, 729319, 729333?\n\"Answer: p**2 + p + 729277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l**0*l*l*l)*l)\/(l**(-2\/15)*l))\/(l**(2\/3)\/l)**(-9\/10) assuming l is positive.\nAnswer: l**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 259 and 5733.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23465452 <= 23465450?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + 12. Let l = 14 + -9. Solve l*h - 3*n = -12, 5*n = -0*h + 4*h + u for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7631 (base 8) to base 3\nAnswer: -12110220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1415, -1421, -1347, -1193, -959, -645, -251?\nAnswer: 223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.076? (a) -5358\/5 (b) -0.2 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4*b = -7*z - 4, -3*z + 3 = 3*b. Suppose 0 = 6*x - 294 + 96. Suppose z = i + 2*i - x. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*q = 47 + 5. Put -2, -0.16, q in decreasing order.\nAnswer: q, -0.16, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, 2, 5, 0 in decreasing order.\nAnswer: 5, 2, 0, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (5376\/(-36))\/(-32)*(-5)\/(35\/(-27))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 106*c**2 - 491*c - 134. What are the prime factors of g(112)?\nAnswer: 2, 10069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 763.215? (a) 1\/73 (b) 0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, g: 4, f: 6, z: 1}. Give prob of sequence gg.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (((sqrt(80) - (sqrt(80) + -2 + -2)) + sqrt(80))*1 - (sqrt(80)*-2 + -3)*-5) + 5)**2.\nAnswer: 504*sqrt(5) + 6529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-8\/5)\/x*x*x*x**1)\/((x**(-1\/5)*x)\/(x\/x**(-8)*x*x)) assuming x is positive.\nAnswer: x**(53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/(-1 + 18\/19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -79.82497 + 2380.\nAnswer: 2300.17503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w - 21. Let f be c(-11). Let m be 15 + 4*3\/6. Suppose -n = -f - m. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 261 and 4.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 4*z**2\/3 - 752120*z + 106065842700 = 0?\nAnswer: 282045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -44778731.9 minus -3?\nAnswer: -44778728.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 q when two letters picked without replacement from {i: 2, q: 1, v: 1, d: 1, k: 1, t: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 522.1345ml?\nAnswer: 0.5221345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2202280*t**3 + 1728*t**2 + 2 - 1728*t**2.\nAnswer: 2202280*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14.6 + 15. What is the nearest to -0.8 in 0.1, x, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 120.224463?\nAnswer: 120.424463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 8, 1.4, 74, -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + 2*sqrt(77))*5 - -3*sqrt(77)*-1)\/((-5*-1*sqrt(176) - sqrt(176)) + sqrt(176)) + 0 + -5.\nAnswer: -5 + 3*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 4*g + 4. Let x be i(-2). Which is the closest to x? (a) -0.3 (b) 0.02 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/9 and (-610)\/24 + (-23)\/(-92).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2 = -3. Let g be ((-273)\/9)\/((-4)\/(8 + 4)). Let x = g + -86. Solve s + 16 = -x*r, 3*s + 3 = -4*r - q for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 8*a**2 - 25. Let k be v(8). Let p be ((-2)\/8)\/(3 + k\/8). Solve p*t = -4*i + t + 12, -3*i = -2*t - 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64862 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/11 (b) 2\/3 (c) 9\/7 (d) 62 (e) -0.5 (f) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 479\/2 + -240. Let u = 10.45 - 11. Let o = u + -0.05. Which is the biggest value? (a) -2\/7 (b) p (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -987*i - 972. Let z be k(-1). Solve -13*n = z*n + 196 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-84)\/120)\/7.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000 + -100110?\nAnswer: -10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (44\/33*(-36)\/220)\/(63\/690). Which is bigger: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 4*t + 9501, o + 1528 = 4*t + 10999. Let v = t - -4206. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.2 + -1.2000175. Round b to 6 decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**2 - x + 84. Let g be i(-7). Which is bigger: g or -257?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -9*l - 3. Let v(n) = -n. Let y(i) = -7*i - 1. Let b(h) = -3*v(h) + y(h). Determine 7*b(k) - 3*t(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24103?\nAnswer: 24103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n + 9*n - 12*n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000 (base 2) in base 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148*f + 11585 = -26303. Solve 499 = 27*m + f for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhy when three letters picked without replacement from {d: 2, h: 7, y: 1, k: 7}?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5*k + 24. Calculate the common denominator of -23\/14 and -3 + 3 + (-17)\/k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4336 - 4294. Let u = 103 - -191. What is the highest common factor of u and k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 divided by -12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006373254 rounded to six dps?\nAnswer: 0.006373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 22 = 2*w, 51*w = 46*w + b + 14. Solve 4*a + 7 = z, 3*a = -a + w*z - 16 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -117*m**2 - 6092*m - 408. Calculate w(-52).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5064746 greater than or equal to -5064742?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1362169 to the nearest integer?\nAnswer: 1167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 10 + 10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x**2. Let v be h(1). Sort v, -4, -9.\nAnswer: -9, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -46*k**2 + 9285 - 9285. Let d(r) = -5*r**2. Determine o(d(p)).\nAnswer: -1150*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3 = -3*d + 3, 0 = -d - s - 2. Suppose -c - 3*c + 288 = d. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**3 + 5*s**2 + 3*s. Let w = 5026 - 5034. Let a(c) = -5*c**3 + 14*c**2 + 8*c. Calculate w*f(x) + 3*a(x).\nAnswer: x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 34 = -10. Solve 0 = 5*t - 10*t + 2*k + 29, -f*t + 4*k = -18 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.5451303 rounded to one decimal place?\nAnswer: -11.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -10*k + 58. Let b be n(5). Solve b*w + 27 + 5 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 200, 257, 204, 65, -136, -375?\nAnswer: -628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2338 (b) -3 (c) 0.1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11340419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -6*h**3 + 3*h**2 - 11*h - 35. Let i(l) = 2*l**3 - l**2 + 4*l + 12. Calculate -4*d(k) - 11*i(k).\nAnswer: 2*k**3 - k**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 1) + -3 + 3. Let g be 1200003\/(-12) - l\/8. What is g rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1321 (base 5) to base 4.\nAnswer: -3103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85*i - 77*i - 196*i**2 + 19 - 19 to the form r*i + z + a*i**2 and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*f**4 + 66039*f**3 + 21073998*f**2 - 197602944*f + 22955616 = 0.\nAnswer: -652, 2\/17, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1459 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/5, -2, 4\/7, -8, -3, 4.3, 0.1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**5\/4 - 191*d**4\/4 + 7967*d**3\/4 + 114635*d**2\/4 - 30603*d = 0. Calculate d.\nAnswer: -12, 0, 1, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4388 - -4387. What is the biggest value in 13, u, -0.2?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1537767, 3075535, 4613303, 6151071, 7688839?\n\"Answer: 1537768*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 19, -2\/21, 3\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -13 + 34*h**3 - 12*h**3 + 15343*h + 5*h**2 - 15344*h. Let k(w) = w - 2. Let p be k(5). Is b(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000658529 rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + 1. Let k(t) = -t**3 + t**2 - 8. Let q(x) = -5*j(x) - k(x). What is q(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**6\/360 + q**5\/60 - q**4\/24 + q**3\/3 + q. Let n(b) be the second derivative of a(b). Determine n(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppupnqnm. Give prob of sequence uqp.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*t - 2*z = 39*t - 12, -3*t - 3*z = 12 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/3759 and -173\/5370?\nAnswer: 37590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/44 and -2 + 5 + (-43)\/(-20)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3116 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, z: 6, x: 4, j: 6}. Give prob of picking 1 z and 2 u.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 - b - 1. Let o(x) = -255*x**2 + 51*x + 51. Determine -o(j) - 51*z(j).\nAnswer: 153*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7743, -7744, -7745, -7746, -7747, -7748?\n\"Answer: -r - 7742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w - 5. Let o be k(-7). Let p be 14\/7*1\/o. Solve 3*v - p = 8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6763409124 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 72007 a multiple of 343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -339*h**2 - 13*h. Let b(a) = -170*a**2 - 7*a. Give -11*b(g) + 6*c(g).\nAnswer: -164*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -10, 4*p - p = -4*d - 14. Suppose 72 - 24 = p*s. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -9*a + 70. Let h be p(7). Solve -3*v - 3*q + 13 = 4, 0 = -3*v - q + h for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 633916 and 3129148?\nAnswer: 1444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69 + 65. Let g = 2899.5 - 2900. Which is the nearest to -14? (a) 0.5 (b) g (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -42 - -29 - -31.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -724*i - 814*i + 2257*i - 723*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70442 is divided by 35159?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 - 161)\/(-1 - 0). Suppose b = -0*g + 3*g. Suppose 4*x - g = -4*p, -4 = -p - 0*p - 4*x. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6778 = 6*p + 8896. Which is smaller: -1\/3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 9*b. Let o(h) = -9*h**2 + 14*h. Give o(g(l)).\nAnswer: -729*l**2 + 126*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 17*n**2 - 28*n - 19. Calculate d(15).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 100396749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-3 - -5) + (4 - -9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -x**4\/4 - 13*x**3\/3 - 5*x**2\/2 - 29*x + 52. Let r be l(-13). What is the highest common factor of 90 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/21, 2\/13, -215, -26 in descending order.\nAnswer: 2\/13, 2\/21, -26, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50497585 is divided by 818?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 534 divided by -3.\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371492?\nAnswer: 2, 11, 8443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1097593.8 months to decades.\nAnswer: 9146.615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, 0.3, 0.12?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 17*g**2 + 13*g + 33. Let y be j(-5). Suppose -9*n + y = -372. Is 17 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 + 93*t + 127. Let m be b(-47). Suppose 14*f = 20*f - m. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-5 - 8) - (-3 + -6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - -2)*1 - (-2)\/2. Let n(o) = -5 + 4*o - 3*o + 0*o. What is n(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 38 in 2\/13, 1\/4, -5\/67, 4, 102?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/31)*t*t**(-15\/4)*t)\/(t\/(t*t**(-4)*t*t)*t*t*t*t**(-2)))**(-1) assuming t is positive.\nAnswer: t**(593\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (220\/77)\/((-6)\/(-21))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (10 - 20) - (2 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*v - 1349998 = -3*o, 0 = 2*o - 3*v - 900003. Round o to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.73337l in millilitres?\nAnswer: 9733.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/8)\/(2\/8). Let j be (-5)\/(-2) - (-7)\/14. Let d(b) = -4*b + 3 + 3*b**2 - j*b**2 - b**2 - 5. Calculate d(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208380 rounded to the nearest ten thousand?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -52 - (-783 + 853)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*p**3 - 13 + 9*p - 19*p**3 - 2*p**2 + 32*p**3 - p**4 to k*p**2 + o + b*p**3 + l*p + t*p**4 and give o.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 6917*g - 13846*g + 6949*g. Let n(s) = s**2 - 3*s + 3. Let w(h) = -4*h + 4. Let u(y) = 4*n(y) - 3*w(y). Determine b(u(m)).\nAnswer: 80*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*x**2 + 69*x**2 - 125*x**2.\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 965408 and 4?\nAnswer: 965408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 47, 118, 217, 344, 499, 682?\nAnswer: 893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 4*z - 0*z - 32, 52 = 2*u - 5*z. Let s(x) = -x**3 + 10*x**2 + 12*x - 7. Let l be s(11). Suppose -l*b + 76 + u = 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(63))**2 - sqrt(7))*-1 + -2.\nAnswer: -70 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.95 - -0.05. Let j = 0 - v. Let p = j + 3. What is the nearest to p in 4, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*t - 5*t + 2*t. Suppose t = l - h + 3*h - 71, 0 = 5*l + 5*h - 360. What is the remainder when l is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 516 = -14*y + 68*y - 348 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.18 + 0.16. Let n = t - -0.12. Which is the closest to n? (a) -4 (b) -5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.33835 and -850.\nAnswer: -287.5975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -u**2 - 65*u - 36*u**3 - 1\/30*u**5 - 1\/6*u**4 + 0. Find the first derivative of s(y) wrt y.\nAnswer: -4*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-129) - (-7067)\/24639.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of u**6\/120 + u**5\/10 - 7*u**4\/24 + 2*u**3\/3 - u**2. Let n(o) = 283*o + 842. Let b be n(-3). Give c(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 6*c**2 + 6*c + 7. Let y be d(-5). Suppose 2*r = -6, y*a - 5*r + 6 = 13. Is 1 - -14*(-6)\/a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68 - 65. Solve -b + u - 8 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47708 and 116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1322 (base 6) to base 5.\nAnswer: 2323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = z + 78. What is the remainder when 37 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -651 divided by 217.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1202028 divided by -100169.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -43, -72, -103?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 7*t + 4. Let u(c) = -20*c - 13. Suppose 0 = -218*l + 213*l - 30. What is l*u(o) - 17*q(o)?\nAnswer: o + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 1595*x**3 + 5*x**2 - x + 1. Is i(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p + 15. Let o(m) = m + 15. Let x(r) = 4*n(r) - 3*o(r). Is x(16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 11:50 AM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*o + o - 2*o - o + o - 2*o + 3*o + (-o + 4*o - 2*o)*(1 + 2 - 4))*(2*o**2 + 3*o**2 - 2*o**2) + 0*o**3 + 3*o**3 - 2*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 22578, 45124, 67660, 90180, 112678, 135148, 157584?\n\"Answer: -b**3 + b**2 + 22550*b + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 4*y + 23, -3*n - 2*n = -2*y + 21 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0614 + -0.1393. Let k = x + 0.07309. Round k to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20*10*(-90)\/3750?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 3*q - 4 - 2, -4*x + 2*q + 4 = 0. Suppose -218*a + 431*a = 852. What is the nearest to 0.2 in 0.3, a, x, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/414 and 29\/4753962.\nAnswer: 4753962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 144 * 0.5.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 7*p**2 + 11*p + 43. Let j be w(-6). Suppose q = -3*s + 23, 2*s - q = s + j. Solve 4 = 5*i + s for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.30242*4\nAnswer: 1.20968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 482120456 and 18.\nAnswer: 4339084104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7535111, 15070204, 22605269, 30140294, 37675267, 45210176, 52745009, 60279754?\nAnswer: 67814399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -666 or -255076\/383?\nAnswer: -666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 993*b**3\/7 - 228426*b**2\/7 + 13140705*b\/7 - 476100\/7 = 0.\nAnswer: 12\/331, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6207, -6219, -6253, -6321, -6435?\nAnswer: -6607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -5*w**4 - 1341*w. Let g(c) = -9*c. Determine q(g(j)).\nAnswer: -4860*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -1\/2*t**3 - 1\/3*t**4 + 2*t + 0 + 1\/2*t**2 - 1\/20*t**5. Give z(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3089 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/3)*x**1)\/(x**(-13)\/(x*(x\/x**6*x)\/x)))**(-23\/2) assuming x is positive.\nAnswer: x**(-667\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/5, -1\/8, -3, -25, 1?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 688*c**4 + 27*c**3 - 81450*c**2?\nAnswer: 16512*c + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 1)*-2*2.\nAnswer: -4*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 7*u - 7. Let y = 149 - 155. Let i(l) = -l**2 - 6*l + 6. Let b = 1 - 8. Determine b*i(m) + y*x(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, t: 1, b: 1, j: 7, u: 4, n: 2}. What is prob of sequence un?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, f: 1, d: 4, z: 2, l: 4}. What is prob of picking 2 l and 2 z?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6913 and 3568?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 81 + 31. Let x(p) = 2*p**2 - 12*p + 14. Let f be x(5). Suppose -f*a = 16, 5*l - 4*l - a = 24. What is the highest common divisor of l and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -29. Let a = f - -7. Which is smaller: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42 by -6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -3*i + 2*t + 170, 2 = t. Suppose -2*z = 2*z - i. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 9:02 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2114\/65 greater than or equal to -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (884\/(-238))\/((-6)\/(-3))*-14.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2371 is divided by 780?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 1 - 11 = 0. Suppose w*i = -3*i. What is the derivative of 2*j - 3 + i*j + 8 wrt j?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -6*i + i - 2*b, -4*i = -b + 37. Let f = i - -32. Calculate the remainder when f is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 422663731?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1118, -2267, -3420, -4577?\nAnswer: -5738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -169, -889, -2843, -6649, -12925, -22289?\n\"Answer: -103*m**3 + m**2 - 2*m - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1*3\/(-2)*(237 - 71295\/315)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c9 + 16?\nAnswer: -b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 119*q - 81*q + 88 + 26*q**2 - 88 - 143*q to the form b*q + i*q**2 + g and give b.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, -3, -2\/15, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110730598 to the nearest integer?\nAnswer: 10523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and 280.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 912*w**2 - 2*w - 1. Let k = -135 - -137. Is j(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/17 (b) -175 (c) -2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 26 = -s, 0*n + 3*s = 2*n + 13. Let j = -11910 + 11908. Put j, n, 1 in increasing order.\nAnswer: n, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, e: 11, m: 1, i: 1, t: 1}. Give prob of sequence tef.\nAnswer: 11\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 20*i - 14. Let p be o(-19). Suppose s + 480 = p*s. Calculate the highest common divisor of s and 180.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/3*(-9)\/(-2))\/4.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/2 (b) -3 (c) -190 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/41, 5, 8, -730.\nAnswer: -730, 0, 2\/41, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20104 + 20105. Calculate the least common multiple of k and 16915.\nAnswer: 16915","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -3*a + 25 - 21, 4*y - 24 = 2*a for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.3939 - 2.767\nAnswer: -2.3731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 5:15 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*a + 19, 4*f = -2*a - 3*a - 176. Let g(z) = -z**3 + 6*z**2 - z - 2. Let d be g(7). Let v = f - d. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 19*b**2 + 10*b + 49. Let z be x(20). Let w = z + -620. Let h(r) = -r**2 - 7*r + 7. Let v be h(-6). Solve 2*q - p = v, 2*q = q + 5*p + w for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-7))\/(18\/(2646\/(-21))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 2045344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1298 * 0.68\nAnswer: -882.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6922 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 299156573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 23*m - 15. Let a(z) = -2*z**2 - 29*z - 15. Let r(d) = 3*a(d) - 4*j(d). Let l(t) = -t**2 + 2*t + 7. Give -9*l(n) + 4*r(n).\nAnswer: n**2 + 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 8*q + 1528, 677 = 2*p + 4*q - 323. Calculate the remainder when p is divided by 246.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.0418 - 0.0418. Suppose 4*q - 42 = -10. What is the nearest to m in 5, 0.9, q?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2983 times 79.9?\nAnswer: -238341.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 14. Suppose 8 = 2*p + 2*u - 4, 4*p - 4*u = 8. Let m = 305790.8 + -305791. Which is the nearest to n? (a) p (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/13)*t*t*t**1\/t*t*t)\/(t**(2\/7))**(2\/31) assuming t is positive.\nAnswer: t**(10798\/2821)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4595, 4499, 4379, 4235?\n\"Answer: -12*c**2 - 60*c + 4667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 5*x = 1265. Let w = 122 + x. Suppose -4*k - g = -5*k + 1, -k + 3*g = w. Solve 0*v - 20 = k*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*v - 26 = 112*v + 18 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**4\/6 - 2*t + 43. Let j(f) = 3*f**2 + 2*f. Let g(x) = -x**2 - x. Let s(u) = 2*g(u) + j(u). Determine s(a(d)).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 10 + 32 = -2*l, 3*p - 2*l = -26. Let b be 1\/((-2)\/p) - 2. Calculate the greatest common factor of 10 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-22)*9900\/(-2700).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q + 4. Let l be p(-6). Let w = -2519 - -1613. Is w\/l - (-2)\/7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0)**(-3)\/(n**(-7\/2)\/n**(2\/9)))**(1\/23) assuming n is positive.\nAnswer: n**(67\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(0 + 0 + 2*v) + (-1 + 2 - 3)*(-6*v + 2*v + 3*v).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 64081304783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6793110 to the power of 1\/4, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/84852896 and 67\/111064.\nAnswer: 84852896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 35\/(-50)*(1 - -1) - -2. Let a(q) be the first derivative of -3*q - z*q**5 + 0*q**4 + 0*q**2 + 0*q**3 + 1. Differentiate a(k) with respect to k.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**5\/5 + 4*i**4\/5 + 58*i**3\/5 - 12*i**2 = 0. Calculate i.\nAnswer: -5, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -71\/7 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -812 - -812.0918. What is l rounded to three dps?\nAnswer: 0.092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1362 - -1316.79. Let u = q - -45. Round u to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 3:04 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 231238, 462458, 693680, 924904?\n\"Answer: h**2 + 231217*h + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1506 + 4514\/3. What is the nearest to -5 in 0.5, 5, q, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -1 + -6 + 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*j = 0. What is the units digit of (2\/(j - 2))\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -968631*t*v + 13259926*t + 18*v wrt v?\nAnswer: -968631*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*p = 14*p + 52 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**2 + 569676*y + 40566343122 = 0. What is y?\nAnswer: -142419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 7735 = 5*y, 0 = -5*y - 4*n + 5412 + 2319. Suppose 3*f - 2 - 4 = 0, -5*f = 3*j - y. Let x be j\/21 - (-4)\/6. Solve -6*k + k - x = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 327, 354, 381, 414, 459?\nAnswer: 522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 1\/(-5) + 29463\/15 + -14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/3 + -3 + 78. Suppose 2*f + 2*d = 78, -2*f + d - 4*d = -k. Is f a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 4441, -4, 10, -7 in descending order.\nAnswer: 4441, 10, 5, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*b**3 - 2\/9*b + 0 + 4\/9*b**2 - 4\/9*b**4 + 2\/9*b**5 = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 12739*v - 2. Let c(d) = -2*d. Determine y(c(u)).\nAnswer: -25478*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -0 - 16. Suppose r + v = 3*r. Let k = 8 + -3. Calculate the lowest common multiple of k and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176 = 12*v + 80 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 1189*a + 1188*a - 2 = -1, 3*a = 10*b + 92 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 126 + -760. Let b = y + 1091. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -14711, 2.4?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -7. Let f = -2 + z. What is the closest to -1\/4 in -4, 2\/9, f?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63\/84)\/(93\/31)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7594 to two decimal places.\nAnswer: -0.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3310 - 2*l**3 + 5*l**3 + 3310.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 5*h**5 + 1645*h**4 + 4905*h**3 + 4895*h**2 + 1630*h = 0.\nAnswer: -326, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3486.298 nanograms in kilograms?\nAnswer: 0.000000003486298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7 + -5 - 3)*(4 - 1). What is the smallest value in 11, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*r - 1500 = -623 + 6576 - 303 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*l, -z - 4*l = -0 + 1. Let t(s) = -s**3 + 3*s**2 + 4. Let k be t(3). Let p = k - z. What is the third smallest value in 1, 0, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*p + 4. Suppose -p*f + 58 = 5*l, -3*f = 5*l - 36 - 10. Calculate the greatest common divisor of 12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6425812958 to the nearest integer?\nAnswer: 1859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 3*q + 10. Suppose z - x - 2 = 1, -q*x - 13 = -3*z. List the prime factors of (-186)\/(-3) + (-4 + 4)*z.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5983 to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*p + 17735 = 18140 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 370301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 5. Let w = 3 - x. Let j be (5\/w)\/(1\/3). Solve 0 = -f - t - j, f - t - 5 = 5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -2*k**3 + 5 - 3*k**3 + 7*k**3 - 2*k**6. What is the third derivative of h(o) wrt o?\nAnswer: -720*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 115, 98, 89, 94, 119, 170?\n\"Answer: i**3 - 2*i**2 - 18*i + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -163a8 (base 11) in base 2?\nAnswer: -101101001000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -109, -143, -157, -145, -101, -19?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -x**4\/12 + x**3\/3 + x**2. Let v be j(5). Let q = -11 - v. Let a(g) = 4*g - 1. Let s(l) = -9*l + 3. What is q*s(m) - 7*a(m)?\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25887 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -9*(-1)\/(1*4\/(-4)). Let c(n) = -5 - 4 - n + 2. Let t be c(r). Solve -5*l + 16 = -t*l + 5*j, 0 = 4*l - 5*j + 37 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5469000 rounded to the nearest one hundred thousand?\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -18037.45437 rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (25 - (26 + 12)) + 30 + -4 + (2 - 2)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 120413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 3838.86 (c) -2\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/6*(-63)\/(-60). Let m = 173\/24 - f. Calculate the common denominator of m and 72\/(-30)*(-210)\/189.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 15664*i + 109648. Determine d(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(-2\/23))*(u\/(u\/u**33))\/u*u**(2\/9)\/u*u*u*(u\/(u**(-28)*u*u))\/u)**(1\/26) assuming u is positive.\nAnswer: u**(12241\/5382)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 10:01 PM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b - 24. Let u be k(14). Suppose -3*n = -16 + 7. Suppose 5*w = -u*y + 138, -n*y = -3*w - 33 + 105. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 21176600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.19, 0.3, 0.1, -2, 56.\nAnswer: -2, 0.1, 0.19, 0.3, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 + -47. Let g be f - (35\/(-10))\/(-7). Suppose -1\/2 + g*w**2 + 0*w = 0. What is w?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1303 is divided by 144.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-4)*(-68)\/85. Calculate the lowest common multiple of (9*a\/3)\/(-1) and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(325)*2)**2 + (sqrt(208)\/sqrt(4))\/sqrt(4) - (2 + sqrt(1872) + -5 + sqrt(1872))) + 2)*-4.\nAnswer: -5220 + 92*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/14*1 - 2. Let m = -0.163 + 0.433. Let w = -1.73 - m. Which is the nearest to w? (a) -2 (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.21 - 0.01. Let s = -0.0831 - -1.2685. Let w = s - g. What is w rounded to three decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7252 and 2828?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 10. Let x be p(-6). Let c(l) be the third derivative of 0 + 1\/42*l**x + 0*l - 2*l**2 - 1\/210*l**5 + 0*l**3. Factor c(s).\nAnswer: -2*s*(s - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/35? (a) 302 (b) -2 (c) -0.7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -20ca746 - 0?\nAnswer: -20ca746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 20 + 17 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43 and 516?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -110 and 2180489829.\nAnswer: 2180489719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1548 + 398 = -4*b - 5*l, 4*b - 3*l = 1134. Suppose 0 = 3*m - 6*m + b. What is the remainder when m is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 q when four letters picked without replacement from {b: 8, q: 3, a: 6}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**3 + 2*a**2 - 3 + 2*a**2 + 3*a + 1 + 0. Let k(n) = -n**3 + n**2 + n. Let l be -1 - (2\/2 - 3). Determine l*r(i) - 4*k(i).\nAnswer: 2*i**3 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20111021 (base 3) to base 7.\nAnswer: 16540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eez when three letters picked without replacement from {s: 1, e: 4, p: 6, z: 1, y: 6}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**5\/20 + i**3\/6 + 36*i. Let q(y) = -20*y**3 + 5*y + 2. Let u(s) = -5*o(s) + q(s). Differentiate u(w) with respect to w.\nAnswer: -45*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/440)\/(251\/(-7530))\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.15 in 0.7, -3\/2, -7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 159, 380, 697, 1146, 1763?\n\"Answer: 6*d**3 + 12*d**2 + 143*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*i + 0)*(6 - 18 - 16)*(2 - 2 - 3) to the form d*i + t and give d.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 0 = -2*x + b, -2*b - 4 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 319193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/21)*n\/n**(-3\/10)*n*(n**(-5))**(3\/7) assuming n is positive.\nAnswer: n**(13\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (16\/(-168)*1107)\/(9\/(-1596))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssqsq. Give prob of picking 2 s and 2 q.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.15 + -1.85. Let x be 2 - (1 + 1\/2). What is the nearest to x in -4, h, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5*m**2 + 584*m - 8137. What is r(98)?\nAnswer: 1075","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 551497294 smaller than 551497294?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w - 5. Let b(z) = -z - 6. Let f(a) = 1. Let k(u) = b(u) + 2*f(u). Calculate -5*k(s) + 4*v(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 + -29.4. Sort 0.1, 3, c in descending order.\nAnswer: 3, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + t)*(0*t - 3*t + 0*t)*(-3*t**3 + 0*t**3 - 4*t**3).\nAnswer: 21*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 5*j + 20 = 0, 24 + 16 = 3*v - 5*j for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 4*u = 20, -37*z = -34*z - 2*u - 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 1)\/(0 - -1). Let d be a + (1 - -2) + 1. Suppose 2*b + 6 = 5*b. Is b smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 2*g + 26. Let w be u(6). Let f(q) = 0*q**2 - 4*q**2 - 3*q**2 + 5*q**w. Let h(t) = t**2 + t**2 + 5*t**2 + 0*t**2. Give h(f(y)).\nAnswer: 28*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*i = -331*i + 668*i + 20 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 104\/(-555) + 3\/((-90)\/(-4))?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57543646.\nAnswer: 2, 677, 42499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1242)\/(-36)*17\/1. Let x = c + -2983\/5. Calculate the common denominator of x and -3\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 24 - 2*u**3 + 2*u + 5 + 3*u**3 + u**2 + 12*u**2. Let y be b(-13). Suppose -5*o = -6*o + y. Put o, -20, 0 in decreasing order.\nAnswer: o, 0, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, w: 1, c: 1, r: 2}. What is prob of picking 1 w, 1 y, and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**7\/420 + a**6\/240 + a**5\/30 - a**4\/12 - 623*a**2. Factor b(v).\nAnswer: -v*(v - 2)*(v - 1)*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, w: 15}. What is prob of sequence fw?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -14 - 2. Solve -r*x + 1 - 5 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.01 + 0.41. Let g = 28 + -26.9. Let o = -1 + g. Which is the closest to -0.1? (a) 1\/5 (b) o (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10430*l + 5*l**2 + 3477*l + 3479*l + 3475*l.\nAnswer: 5*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111207990 is divided by 842?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*5 + -1*2. Let c(v) = v**2 + 8*v - 3. Let g be c(z). Suppose 2*f + 0*f + 21 = 1. Is f less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -l - 26, 2*l + l + 54 = 2*h. Let d = -21 - l. Let j be 2*d + 295\/5. Round j to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 0*n = 48. Let o(w) = w**2 + 12*w + 22. Let a be o(n). Suppose 19*z = a*z - 321. What are the prime factors of z?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64015*k**3*v**3 - 2*k**2*v**3 + 13*k**2*v**2 - 2234*k*v**3 wrt k.\nAnswer: 384090*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 580, 2, 0, 4, 33 in descending order.\nAnswer: 580, 33, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7308 divided by -459\nAnswer: -812\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**4 + 3*c**4 + 3*c**4)*(-3 + 5 + 0) - 325*c**4 - 7*c**4 - 180*c**4.\nAnswer: -508*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*f - 5*q - 276 = -66*f + 149, 0 = -2*f + 2*q + 16 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -32 - 52. Let s = o + 51. Calculate the remainder when (-3)\/(-2)*((-370)\/(-6) + -3) is divided by s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 1:11 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(96) - -5*sqrt(24)\/sqrt(4))\/(sqrt(300) + -3*(sqrt(300) - 1*sqrt(300))).\nAnswer: -19*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52824945 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/3 - 74*h**2\/3 - 2354*h\/3 - 14278\/3.\nAnswer: 2*(h - 59)*(h + 11)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5 + 7 = 0. Suppose 3*o - p*o - 72 = 0. What are the prime factors of ((-66)\/(-8))\/((-6)\/o)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.742 + -2.542. Which is the fourth biggest value? (a) 3\/4 (b) 2\/11 (c) n (d) -1 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -2*a + 338. Let m(l) = -3*l**2 - 117*l + 2397. Let d be m(-53). Which is smaller: d or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4008, 8021, 12034, 16047, 20060?\n\"Answer: 4013*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (0 + 9 - (7 - 7)) + -19?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/2)*n*n\/(n*n\/(n**(-16)*n*n)))**46 assuming n is positive.\nAnswer: n**(-667)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 50?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p + 5. Let c be m(6). Let z = c - 14. Let s = 28 + z. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -223313?\nAnswer: 223323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 81525*b**3 - 38*b + 402.\nAnswer: 489150*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-9))\/66*-6?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 k when four letters picked without replacement from {q: 9, k: 5}?\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b + 5. Let m be -30*1*(-4)\/24. Let l(u) = u - 3*u + 4 - 12. Give m*l(j) + 8*r(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -915, -7290, -24587, -58266, -113787?\n\"Answer: -910*a**3 - a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4aa450 (base 11) to base 3\nAnswer: 1111212111221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.460083 * -0.2\nAnswer: 0.0920166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 6675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/5 - 2530*v - 839256\/5.\nAnswer: (v - 12716)*(v + 66)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 816 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23.18 or 2.65?\nAnswer: 2.65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-6) + 2\/(-3). Let l = -1\/114 + -55\/228. Which is the nearest to i? (a) -5 (b) 0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 + 0. Let j be (0 + 1)*(3 - 2). Which is the nearest to j? (a) n (b) 3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11222100011020 (base 3) to base 4\nAnswer: -22011203211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101508 is divided by 50586?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 9*b - 4. Let n be 9\/3 - 13\/1. Let i be s(n). Let g(u) = u - 8. Determine g(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*z - 30. Let p(f) = 243*f**2 - 3*f. Let j be p(1). Let g be (j\/32)\/(39\/18 + -2). Calculate the greatest common divisor of g and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-97*k - 3840*k - 516*k)*(-2*k**3 + k**3 + 3*k**3) to the form x + i*k**4 + f*k**2 + s*k**3 + o*k and give i.\nAnswer: -8906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o. Let a be 0 - 3\/(-3) - 3. Let l(t) = -8*t - 1. Let p be 4\/6 - (-56)\/(-3). What is a*l(i) + p*k(i)?\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 24\/28599827 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 569401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 6*t**2 + t + 6. Let s be h(-6). Suppose -5*y - 33 = -w - s*w, 3 = -3*y. Calculate the lowest common multiple of w and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15597485900 rounded to the nearest one million?\nAnswer: 15597000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/15*-15 - 0. Solve 4*r**3 - 9*r**4 + 6*r**v + 6*r**4 - 2*r**4 + 95*r**2 + 60 + 140*r = 0 for r.\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8155 rounded to one decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 4*l + 4. Let z = 26 - -16. Suppose -z = m - 37. What is n(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 117 + 74. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 9:18 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -d + 2*d. Let a = d + -31. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 22. Let k = 9 + i. Let r = k - -4. What is the closest to r in 1, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.032 + 155.968. Let z = l - 140. Which is smaller: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -714563, -714564, -714565, -714566, -714567?\n\"Answer: -d - 714562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -149255240 divided by -34\nAnswer: 4389860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 621, 1244, 1869, 2496, 3125?\n\"Answer: f**2 + 620*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 35\/11 - ((-32 - -40) + 0 + -5). Which is the closest to -1? (a) -15.3 (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**4 - 10*h**4 + 8*h**4 + (-h + 3*h + h)*(3 - 2*h**3 - 3) + h**2 - h**2 + 2*h**4 + (-2*h**3 - 2*h**3 + h**3)*(0*h - h + 4*h).\nAnswer: -12*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a factor of 154224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26819 and 1651?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnnnnnbnrnrn. What is prob of picking 1 r and 2 b?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -61455800 to the nearest 1000000.\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -0*s + 6. Suppose 3*v + 2*p = 20, -s*p + 28 = 5*v - 4*p. Solve v*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w = -2*w + 4*k - 24, 0 = -k + 98 - 93 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -10. Let v be (1\/2)\/((-1)\/(-2)). Let g be 0 + v + (-3 - -4). Solve c = 4*b - 2*n, -g*n = b - n - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/1470*18*2\/(3 - -3). Let z(j) be the first derivative of -b*j**5 + 1\/7*j**4 + 8\/21*j**3 - 8\/7*j**2 + 4 + 0*j. Factor z(v).\nAnswer: -2*v*(v - 2)**2*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4918062 less than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(5 + 1 + sqrt(288) + -1) - (2*sqrt(288)*3 + sqrt(288) + -3 + sqrt(288)*1))**2.\nAnswer: 6864*sqrt(2) + 49156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -8*i**4\/9 - 1264*i**3\/3 - 32254*i**2\/3 - 93922*i\/9 - 7748\/3 = 0.\nAnswer: -447, -26, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43\/2 - 985\/46. Let w(l) = -3*l - 21. Let y be w(-7). Is y smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**3 + 10575*w**2 - 9217944*w - 178979088 = 0. What is w?\nAnswer: -19, 1772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5402709?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**2 + 2048512*s + 4097008 = 0 for s.\nAnswer: -512126, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 5*x - 17 - 10, 0 = 5*p - 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22670526.\nAnswer: 2, 3, 3778421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 314068185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -22*d - 50783. Let y(l) = 2*l. What is k(y(f))?\nAnswer: -44*f - 50783","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p**(5\/3)*p)\/p)\/(p*p\/(p\/(p\/(p**(-5)*p*p))))*p\/(p*p\/p**1)*p\/(p*p**(-2\/21)*p*p)*p)**(30\/13) assuming p is positive.\nAnswer: p**(-470\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 111\/230 + 2\/115. Which is smaller: u or 0.62?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.05923 - -0.0338. What is g rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.54007683 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*s = -10692. Suppose 5*b = n - s, 2*n = -4*b + 3*b - 1078. Round b to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261286674?\nAnswer: 2, 3, 11, 37, 71, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1545*v + 1566*v + 14*v**2 - 11*v**2 + 1553*v - 4664*v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -482*a + 90*a + 156*a - 934*a.\nAnswer: -1170*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 142314, 284637, 426960, 569283, 711606, 853929?\n\"Answer: 142323*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a. Let b(m) = -m. Let c(j) = -5*b(j) - 3*q(j). Let d(u) = 9*u + 70. Let l be d(-7). Let t(g) = l*g + 12*g + 3 - 28*g. Determine c(t(n)).\nAnswer: 9*n - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2515634592 to the nearest integer?\nAnswer: 50156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hrrkrhrkrrrhrrkwhrr. Give prob of sequence hwr.\nAnswer: 22\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*(a\/(a\/((a**(-3\/43)\/a)\/a)))\/a)\/a*a)\/(a\/(a\/a**(-5\/8))*a*a))**14 assuming a is positive.\nAnswer: a**(-8295\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12100211 - -1312331?\nAnswer: 20013202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 227, 446, 661, 872, 1079?\n\"Answer: -2*j**2 + 225*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 5*t + 104065 - 104036, -4*r + 3*t = -27 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42722 + 10886 = 1137*h for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 0. Let h(j) = j**3 - 16*j**2 + 34*j - 66. Let w be h(14). Suppose -w*q = 29 - 209. Solve -3*p - 18 = -5*y - 4*p, b = -5*y - 5*p + q for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 7*z + 58. Let s be d(-7). Solve 6 = -m + s for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 - 43. Let q = 14 + s. What is the closest to -0.1 in q, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaiiiiiaaaaii. Give prob of picking 2 i.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*c - 15. Let b(a) be the third derivative of -a**5\/60 - a**4\/6 - a**3\/2 - 164*a**2. Determine b(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-2\/3)*k*k)**(2\/5)*((k**(1\/4)\/k)\/k*k)**(-7))**(-45) assuming k is positive.\nAnswer: k**(-1113\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 + 2*k - 4. Suppose 5*o - 11 = 9. Let w(s) = -s**2 - s + 1. Let v(m) = o*w(m) + f(m). Find t, given that v(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 680589.\nAnswer: -1\/226863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -25*d**2. Suppose 5*c - 5 = -3*b, -c - 47 = 9*b - 6. Let h(u) be the third derivative of -1\/12*u**c + 0*u + 0*u**3 - 7*u**2 + 0. What is k(h(r))?\nAnswer: -100*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144 divided by -72.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 + 4024*k**2 + 72819*k - 254646.\nAnswer: -(k - 4042)*(k - 3)*(k + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -101160, -101149, -101124, -101079, -101008, -100905, -100764?\n\"Answer: i**3 + i**2 + i - 101163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 166 + -173. Let r(d) = -d**2 - 10*d - 8. Let a(s) = 2*s**2 + 21*s + 17. Let z(i) = 2*a(i) + 5*r(i). Let k be z(h). Which is smaller: k or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyff when four letters picked without replacement from fffyfyy.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -188311\/27 + 6973. What is the common denominator of 32\/45 and y?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + 18 + 78 + -101?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 172511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*v = 41*v - 16. Solve v*g + 2*c = 6*c - 12, 2*g + 2*c + 2 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of w**7\/315 - 7*w**6\/90 - 17*w**5\/30 - 3*w**2 - 25*w + 16. Determine c so that m(c) = 0.\nAnswer: -3, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 0 - 11\/8*s - 3\/2*s**2 - 1\/8*s**3 = 0.\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (0 - -6 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1043.597 nanoseconds in microseconds?\nAnswer: 1.043597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 32*o**3 - 6*o**2 + 9*o + 12. Is a(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 12 = -c. Let j(o) = -o**3 + 3*o**2 + o + 1. Give j(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2576 and 25665.1.\nAnswer: 28241.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - j - 1287, a - 4*a + 4*j = -3863. Find the common denominator of 1\/4 and a\/180 + 3\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 534333485.\nAnswer: 5, 7, 19, 79, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -7. Suppose -3*f - 2*f - 164005 = z*y, -4*f = -5*y - 409996. Round y to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/((-7)\/(-84))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/(-4) + 129\/(-42)*1. Sort 0.1, x, 1, -7.\nAnswer: -7, 0.1, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*x**3 + 7*x**3 - 2*x**3)*(-37 + 82 - 27) - 2*x**3 + 1 + x**3 + 0*x**3.\nAnswer: -235*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 6*h**2 + 3. Let r be f(-6). What is the second derivative of -g**2 - r*g + 0 + 0 + 0*g wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4207481 or 4207483?\nAnswer: 4207483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yott when four letters picked without replacement from ypsot?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -h + 63. What is the greatest common factor of 252 and h?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - l = 5*a - 44, 2*a + 66 = 3*l. What is the highest common divisor of l and 583?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1982.1*-15265\nAnswer: -30256756.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 443826568141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from loqolywqh. What is prob of picking 2 o?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from unnuuuunnbunnnunnun. What is prob of picking 4 n?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36757429?\nAnswer: 193, 227, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - w - 3995 = -4*l, -2*l = -3*w - 4001. Let k = l - 7927\/4. Let f = -953701\/12 - -79484. Calculate the common denominator of k and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2054796, -2054801, -2054816, -2054847, -2054900, -2054981?\nAnswer: -2055096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrkrjjkjrrkrrrrrr. What is prob of picking 2 r and 2 k?\nAnswer: 39\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 - -19 - ((-1 - -21) + 0 + -10)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(50\/12*-22). Let k = 837\/1100 - i. Sort k, 0.5, -3\/2, 0.3 in increasing order.\nAnswer: -3\/2, 0.3, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 2*q**2 - 21*q + 7. Let t be u(5). Is t at least as big as -1\/52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*m = -9, -34 = -2*s + m - 3*m. Suppose s*d = 16*d - 116. Solve 16 = y + 4*o, d = y - 2*y + 5*o for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21105 + 5?\nAnswer: -21100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*i + 829 = -244 - 439. Solve 297 = -i*y + 279 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -12*i - 45. Let b(c) = 15*c**2 - 5*c - 8. List the prime factors of b(i).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**3\/6 - 5*l**2\/2 - 3*l. Let c be u(7). Suppose 3*d - 73 - c = 0. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6859777.\nAnswer: 937, 7321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*o - 133*o + 4*b = -7, -2*b + 4 = -2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 = 4*h - 2*c, 67*h + c + 21 = 68*h for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.050938 + -0.0512. Round i to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/20*-10*(-60)\/(-60)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(3) + sqrt(3) + -1)**2 - sqrt(192) - (sqrt(108) + (sqrt(108) + 0 + sqrt(108) + -4)**2).\nAnswer: -396 + 66*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 7 + 3. Suppose o = -i + 5. Suppose o*b + 3*q - 3 = q, -4*b + 5*q = -27. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -250615.06\nAnswer: 751845.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-8)*(-24)\/36?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 y when two letters picked without replacement from ycyy?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 607016, 1214115, 1821212, 2428307?\n\"Answer: -l**2 + 607102*l - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 5, -5*b - p + 70 = -4*p. Suppose -j + c = -5, -5*c - b = -j + 3*j. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1102 + 34036?\nAnswer: 35141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5 + (3*(sqrt(13) + -2))**2.\nAnswer: -36*sqrt(13) + 159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23713 is divided by 39.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 18*g**3 - 15*g**2 - 188*g - 311. Determine k(-2).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + (sqrt(190)*-1*2 - sqrt(190)))\/(sqrt(20)\/sqrt(50)).\nAnswer: -10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.53 - 43.36?\nAnswer: -43.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -253 - -357. Suppose -2*u + 4*n + 6 = -n, -2*n + 34 = 2*u. Calculate the highest common factor of u and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*2*(6*((sqrt(180) - -5*sqrt(180)) + 3 - sqrt(180)))**2.\nAnswer: 12960*sqrt(5) + 324648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11943 is divided by 924.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 91 - -292. What are the prime factors of n?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of 3*u**5\/20 - 37*u**4\/24 + 5*u**3\/2 + 12*u**2 - 2. List the prime factors of w(5).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 - 328\/7. Do 1 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 3:41 AM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sb when two letters picked without replacement from {s: 3, b: 1, r: 11}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -111\/7, -0.1, 0.084?\nAnswer: -111\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 - w**2 - 3*w**2 + 4*w as b*w + u + f*w**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 9*x**3 + 2*x**2 + 33*x - 107. Determine k(3).\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*sqrt(50) + -1) - (-4 + (sqrt(2) + -4 + -1 + sqrt(2) - -2*sqrt(8))).\nAnswer: 5 + 34*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5152 and 11040.\nAnswer: 77280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2100\/(-11375))\/((-8)\/(-20))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*m = -2*m + 3346 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - y)*(3 - 4 + 2) - 3*y + 5*y - 9*y + 0*y + 4*y - 3*y.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1259 divide 4004565257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -10*(-1)\/95 - (0 - 120\/1026). Put 2.5, -101\/2, o in decreasing order.\nAnswer: 2.5, o, -101\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.83 (b) 1\/5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 2:40 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 53 and 583?\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 6:19 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -117 + 115. Calculate the common denominator of 2\/60*3*(-99)\/m and 101\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.098 != 1805?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6476 - -6473. Let v = -0.1 - -0.5. Sort 1\/3, b, v in descending order.\nAnswer: v, 1\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**3*x + 4257779*c**3 - 3344*c**2*x + 52*c*x + 13*x wrt c.\nAnswer: 6*x + 25546674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/72 and 61\/180?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iddddii. Give prob of sequence ii.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -281 (base 12) to base 5\nAnswer: -3020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/15714 and 50\/873.\nAnswer: 15714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29828, 29826, 29822, 29816, 29808, 29798, 29786?\nAnswer: 29772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 60?\nAnswer: -13\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - -35. Calculate the highest common factor of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114694 smaller than 114695?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**5 + 21*o**4 - 45*o**3 + 15*o**2 + 48*o - 36 = 0.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 + -28. Solve 2*k - c*k = -9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 2*p + 231 - 275 = 0, -p = -3*u + 60 + 47 for u.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 6*i + 2. Let a be s(7). Let w(p) = -10*p + 15. Let u be w(-3). What is the highest common divisor of u and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 0*w = -40. Suppose 9 = -5*c - 6*d + 4*d, -4*d - w = 0. Let f(a) = a**2 - 1. Determine f(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1280, -2592, -3972, -5456, -7080?\n\"Answer: -6*z**3 + 2*z**2 - 1276*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10665 and 525?\nAnswer: 373275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -9*b - 40. Let d(o) = -9*o - 51. What is 3*d(s) - 4*t(s)?\nAnswer: 9*s + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d = 10*d + 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.063 + -441.063. Let c = p - -441.0000118. Round c to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 6 = -2*o. Suppose -n - 3 = q, 3*n + o - 1 = 4*q. Is ((-86)\/(-1))\/(1 - q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -2*d + 95. Suppose -d*a + 533190 = 20*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -8620*w**4 - 680955*w**3 + 7458275*w**2 - 19201125*w + 55625 = 0.\nAnswer: -89, 5\/1724, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 288 = -3*s + 6*q, 192 = 2*s + q. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6860 = 54*k - 7670. Let f(n) = -2*n + 35. Give f(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -281 + 291. Calculate the highest common factor of f and 24.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 2*n**3\/45 - n**2\/15 - 10. Factor a(o).\nAnswer: 2*o*(o - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42120 (base 11) in base 7?\nAnswer: -343630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 - 82 = -5*x - y, 4*x - 18 = y for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 714*g**2*i**2*m - 25*g**2*m - 24593*g*m**2 - 120*i**3*m**2 with respect to i.\nAnswer: 1428*g**2*i*m - 360*i**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 34310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*d + 13 = 0, d = 3*p - d - 16. Suppose t - 1 + 0 = 5*q, -3*t + 88 = p*q. Let z be (1 - -1)*(-2)\/t. Which is greater: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 5*k + 1. Let j be p(-5). Suppose -j = -o - 3*w + 18, 4*o + 3*w = 76. Solve h - 11 = -2*h + q, -2*q - o = -5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2051 - -2051.2631. What is s rounded to 2 dps?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/(-3))\/(0 + (-20)\/24). Let v(r) = 27*r**3 - 8*r + 8. Let n be v(w). Calculate the greatest common divisor of n and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -180, -179, -178, -177, -176?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1726817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014398 to 5 dps.\nAnswer: 0.00144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 4*y + 4. Let w be t(3). Let l be -9*-2*w\/(-6). Which is the biggest value? (a) l (b) 0.4 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of q**2\/2 + 3. Let c = 46 - 23. Let u(v) = -13 - 21*v + c - 10. What is u(w(d))?\nAnswer: -21*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 1252.\nAnswer: 1\/313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 3*a + 31706, 174559 = 4*q + 5*a + 47721. List the prime factors of q.\nAnswer: 2, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5350 + 5350 - 1007*k - 3*k + 2*k + 0*k + (6*k - 2*k - 2*k)*(-4 - 1 + 3) to r*k + z and give r.\nAnswer: -1012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 15*u**2 - 58*u - 16. Let i be s(-8). Solve -3*a - 5*r + 11 = i, -a - 2*r - 7 = -3*r for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/3 - 2282*h**2\/3 - 2284*h\/3.\nAnswer: 2*h*(h - 1142)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 476462594 and 526489?\nAnswer: 475936105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 161 and 22310.\nAnswer: 156170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4785\/(-209) + 22 - -1.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**5 - 27406*c**3 + 48742*c wrt c?\nAnswer: -40*c**3 - 164436*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6628 + 6185. Put -2, 5, j, -5, 4 in decreasing order.\nAnswer: 5, 4, -2, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -1583667?\nAnswer: 2\/527889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 54. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(112)*-6.\nAnswer: -96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 7:47 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 7*q**2 + 6*q + 3. Let o be w(-4). Let p = o + -24. What is the third derivative of -61*r**6 - 13*r**2 + 2*r**p + 26*r**6 - 2*r**3 wrt r?\nAnswer: -4200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4*t = 344, 4*t = -4*l - 0*l + 352. Let p = 56 - l. Let x = 37 + p. Solve 3*g - x*g + 15 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 12:45 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 667*v + 429*v = 3087*v + 1518*v + 217558 for v.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 82805 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7632746 to the power of 1\/2, to the nearest integer?\nAnswer: 2763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 156, 1321, 4486, 10647, 20800, 35941?\n\"Answer: 166*z**3 + 4*z**2 - 9*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -88 - -153. Is 13 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -o + 7. Suppose o = 3*a + 21. Which is bigger: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 10315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, i: 3}. Give prob of sequence iqiq.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-3)*u)**(-5\/13))**(-3\/2))**(-2\/37) assuming u is positive.\nAnswer: u**(30\/481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11333 (base 11) to base 10\nAnswer: -16371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 150796\/7, -5, 0.67, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35298)\/794205*(-1980)\/14?\nAnswer: 44\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18.46120373 + -0.538796. Let w = f - -19. What is w rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x**2 - 4*x + 2. Let r = 1404 - 1401. Let a(w) = 5*w**2 - 5*w + 1. What is r*q(z) - 2*a(z)?\nAnswer: 2*z**2 - 2*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -6*d**3 - 2*d**2 + d + 1. Suppose 11*q - 5*q = -6. Let v be o(q). Solve 2*m = 5*m - 4*n + 4, n = -v*m - 18 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -6*m, 5*r + 2*m = -275. Let a = -33 - r. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.35 + 0.35. Suppose -5*f + 4*z = -24, 3*f + 0*z - 4*z - 16 = 0. Let k be -2 + 3\/f*4. Put w, 5\/3, k in increasing order.\nAnswer: w, k, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 21 = -2*u. Let m = u - 2. Let g(p) be the third derivative of -p**6\/120 + p**5\/12 + p**4\/8 - 5*p**3\/6 + p**2. Give g(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -460 (base 7) to base 4.\nAnswer: -3232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cr when two letters picked without replacement from rclccxctrlrlltrht?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319784956?\nAnswer: 2, 59, 1355021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/4)\/((-5)\/4*(-459)\/45)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 10 + (-17 - -8) + 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/17 + 9812*x**2\/17 - 275912*x\/17 + 1934128\/17.\nAnswer: 2*(x - 14)**2*(x + 4934)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 14*k - 97. Determine d(6).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(33)\/(sqrt(66)\/sqrt(6)))**2.\nAnswer: 8*sqrt(3) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -1513*f + 1508*f + 3*o, 3*f + 4*o = 31. Which is smaller: -2\/14313 or f?\nAnswer: -2\/14313","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - -6*(-9 - -3). Is (-604)\/d - 6\/(-27) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 5 - 2*x + 1 - 10 to the form z + l*x and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -93558, -190265, -286972, -383679, -480386, -577093?\n\"Answer: -96707*v + 3149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**4 - 376971*s**3 - 10180251*s**2 - 19229577*s - 9426300 = 0 for s.\nAnswer: -25, -1, 125684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -5*m + 30, -m - c + 4 = -3*c. Suppose 4*i - m = -0*i. Let f(h) = h + 13. Let x be f(0). Solve -i = 5*k + x for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13999.9, 0.2, 2, 29.8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3432 + 1?\nAnswer: -3431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -22. Which is the third biggest value? (a) 0.3 (b) -0.5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279502134 to the power of 1\/2, to the nearest integer?\nAnswer: 16718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5, -12, -19, -26, -33?\n\"Answer: -7*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s**2*y**2 - 165*s**2*y - 2*s**2 + 3*s*y**2 - 2*s*y + 15*s - 1832*y**2 wrt y.\nAnswer: 4*s**2 + 6*s - 3664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**2 + 5*x + 4. Let v be k(-3). Let o = v - 8. Let a be o\/28 + (-4)\/14. Sort a, 3, -4.\nAnswer: -4, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -c**4\/6 + 5*c**3\/6 + 2*c**2 - 19*c. Give i(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 3. Sort v, -4, -1 in decreasing order.\nAnswer: v, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 10068?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 228\nAnswer: -912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - -10. Calculate the lowest common multiple of g and 20.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 106.11 and 104.\nAnswer: 11035.44","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 9*w - 8. Let p be n(-10). Suppose -3*l - 3*g + 198 = 0, l + p*g = 6*l - 302. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 + 506050035414?\nAnswer: 506050035413.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109173 is divided by 77?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-7\/9)*b**(-14) assuming b is positive.\nAnswer: b**(-133\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**3\/(g*g*(g*g**(-3))\/g))\/((g**(-6\/7)*g)\/g**1) assuming g is positive.\nAnswer: g**(34\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 104 - 5. Suppose 4*r + g = -5*w, -w = -3*r + 2 - 3. What are the prime factors of 2\/(-5) - (r\/5 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 25\/15 + 52\/3. Suppose -b = -10*z + 21. Solve 10 = -z*u - 2*j, 5*j + 2 = -4*u + 1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -g**4\/12 - g**2\/2 + 3*g. Let o(j) = -j**3 - 5*j**2 - 6. Determine -5*b(p) + o(p).\nAnswer: -p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k + 73. What is l(-45)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -3*c**2\/2 + 4. Let g be y(3). Sort -2, 0, g in decreasing order.\nAnswer: 0, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16487100 and 753696?\nAnswer: 131896800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*g - 5*g + 16*g**3 - 14*g.\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 13*s**2 + 13*s - 10. Let h be q(-14). Solve 23 = -h*l + 7 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -6. Suppose -q*k - 1997 = -3*h, k = -2*k - 4*h - 1204. Round k to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*o - 0*g + 11, o - g = 5. Solve 2*w - 2*u = o, -4*u + 21 = -w + 2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 723*s + 3072 + 543 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -z + 37, -d + 14 - 1 = 4*z. What is the remainder when d is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, k: 4}. Give prob of picking 3 k.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 8891.4 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -178*m + 4. Let c be o(-2). Calculate the common denominator of 23\/18 and (-4497)\/c - 4\/30.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -494 divided by -1.\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3*(sqrt(162) + -3 - sqrt(162)) - sqrt(162))**2 - (sqrt(162) + (sqrt(162) - (1*sqrt(162)*3 - sqrt(162))) - 2*sqrt(162)*-4)**2.\nAnswer: -8910 + 972*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 14. Suppose 0 = -5*h + v*h + 42. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/3)*n*n*n**(-3\/2))\/((n**(-4)\/n)\/(n**1\/n))*(n**(-2\/5)*n\/(n\/(n\/n**(-3\/4))))**(2\/29) assuming n is positive.\nAnswer: n**(2578\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 5049?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 3:16 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 41752 or 41753?\nAnswer: 41753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254728912 is divided by 100.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1773569?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/4*-2*6*(-13)\/65.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 88880 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 112.1, 26, -0.697 in decreasing order.\nAnswer: 112.1, 26, 1, -0.697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 73*h**2 - 400*h + 787. What is q(78)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h + 2. Let t(c) = 26*c - 74. Let a(k) = -5*k + 14. Suppose -11 = 2*x - 43. Let i(u) = x*a(u) + 3*t(u). Give -2*i(y) + 3*n(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 121.7.\nAnswer: -486.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k**2 - 5*k + 15. What is the remainder when 56 is divided by b(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4634400 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 20 = 4*d, -4*n - 647*d + 30 = -653*d for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74227558?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1050.55 + -1058.9998. What is h rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + (28 - 4)\/2. Solve -k*s - 15 = -3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/6))**(5\/4)*n**(5\/7)\/n**9 assuming n is positive.\nAnswer: n**(-1357\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 175 - 31 = 0. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 13*j + 6. Determine b(-8).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-2)*-1*4\/(-6). Let o(n) = -n**3 - 2*n**2 - 2*n - 1. Let s be o(p). Solve 4*j + s*k - 9 = -0*k, 0 = -j + 2*k - 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 15668, -1210, 1, 5 in ascending order.\nAnswer: -1210, -1, 1, 5, 15668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 3. Let q be (2 - (-1 + l))*129. Let v be (-2)\/(-9) - q\/(-27). Solve 3 = v*h - 22 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 1:14 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -s**6\/30 + 11*s**5\/90 - s**4\/9 - s**3\/9 - 3*s**2. Factor o(q).\nAnswer: -2*(q - 1)**2*(6*q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5490901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of u**2 - 9. Let p(c) = -3*c**2. Determine q(p(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 5*f - 10, 5*f + 0*z - 16 = 2*z. Suppose 2127 + 4013 = 4*x + f*s, 2*s = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*n**6 + 3*n**2 + 4*n wrt n.\nAnswer: -3120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(11*(-184)\/(-322)*(-7)\/(-2)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-27)*(-1674)\/(-1860).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9.2736 times -940\nAnswer: -8717.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - d - 20. Let m be 0\/((0 - 5) + 2 + -1). Sort -3, m, d in increasing order.\nAnswer: d, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (-27 + 5 + 27) - 62\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 2*y**2 - 7*y - 4. Let b(f) = f**3 + 3*f**2 + 8*f + 5. Let g(h) = -2*b(h) - 3*o(h). Let k(v) = -v**3 - 3*v - 1. What is -3*g(d) - 5*k(d)?\nAnswer: 2*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-10)*1\/((-26)\/(-65))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 6*m + 15. Does 5 divide z(47)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = -21*g + 15*g + 9. Solve -8*s + 42 = -g*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1784738109?\nAnswer: 3, 7, 11, 7726139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c - 1. Let j be o(-1). Let z(s) = 2*s**2 - s**2 + 0*s**2 + 2*s + 4 + s**2. What is the smallest common multiple of 20 and z(j)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-37)*k**(-18))\/(k**(4\/3)\/(k**(-13)*k)) assuming k is positive.\nAnswer: k**(-205\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*z - 5*z - 212. Calculate the greatest common divisor of z and 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 11:55 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -926 = 2*l - 918 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 3:49 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2164.\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millisecond in microseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((174\/72)\/(-29))\/(14\/28)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l - 3. Give p(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 12 = -3*f + 5*f, -6*s + 205480*f - 205475*f + 54 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 6:17 AM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5, 33, 79, 143, 225?\n\"Answer: 9*a**2 + a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**2*n**3*w - 12*a**2*n + 1371772*a**2*w + 2659104*a*n**3*w - 64*a*n*w wrt a.\nAnswer: 4*n**3*w - 24*n + 2743544*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/24*-1 + 68\/(-1632).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-11 + (1 + 9 - 2 - 17) - 12).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 0 (b) 4 (c) 5\/3 (d) -0.1 (e) 1\/4 (f) -1.221\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 1332.\nAnswer: 6660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 17330 = 5*p + 4035, -3*a - 2*p + 12804 = 0. What are the prime factors of a?\nAnswer: 2, 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 4*l + 44. Is 2034\/66 + (-4)\/l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**3 - 85*j**3 - 576*j**3 - 135*j**3 + 19*j**3.\nAnswer: -779*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -3*y + 3*o - 87, 5*y + 165 = -5*o. Let n = y - -35. Suppose -5*h + 4*i + 63 = 0, 6*i + 36 = 3*h + 3*i. Solve n*l - h = l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 25*c**2 - 8*c + 3. Let b(p) = 58*p**2 - 17*p + 5. Let h(l) = 3*b(l) - 7*z(l). Factor h(y).\nAnswer: -(y - 3)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15792 and 1284696.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(77\/7)*3\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 4)*(28 - 22 + 12 - 13*s).\nAnswer: -13*s + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**3\/7 - 1874*w**2\/7 + 63376*w - 2171560\/7 = 0. What is w?\nAnswer: 5, 466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3339058166305369\/41298 + 80852781414. Let a = -2\/6883 + p. What is the common denominator of 121\/10 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -1346*i + 774. Is g(-13) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 47 = -5*b - 61, -14 = 5*f + 3*b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121, -316, -509, -700, -889, -1076?\nAnswer: -1261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + 85. Suppose -b = 4*c - 7*c. Suppose 3*x = -0*x + 2*i + c, -i - 55 = -4*x. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101001 (base 4) in base 8?\nAnswer: -2101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjg when three letters picked without replacement from jskgkpw?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-5 + 2921\/584). Which is greater: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 45*g - 1570. What is b(23)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/5 of a millisecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*n = 4*x - 22, -x + 5*n = 10. Suppose -4*q - 5*m = -2, 0 = -5*q + 2*m - 6*m + 7. Let k(h) = -1 - 5*h + 7*h**2 - h**3 + q - h**2. Calculate k(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 4*b - 3*b - 4, 0 = 5*m - 5*b - 10. Let q(w) = -w**2 - 14*w - 4. Let o be q(-3). Solve -11 - o + 0*a**m - a**3 + 10*a**2 + 6*a**3 - 20*a = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100 divided by 9846\nAnswer: -50\/4923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + b**2 - 1. Let r(p) = 3*p**2 - 4*p + 4. Let w be r(1). Let l be ((-2)\/(-6))\/((-4)\/(-52))*w. Suppose -l*t - 14 = -6*t. What is x(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-1540)*-60*28\/(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 a when two letters picked without replacement from {o: 1, l: 1, a: 2, w: 1, u: 2, n: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 678\/3 - (0 - -3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8712 and 25.\nAnswer: -21.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*u + 26, 2*u - o + 10 = -5*o. Suppose 0 = -6*h + 12*h + 1206. Let g = 206 + h. Put u, g, -3 in ascending order.\nAnswer: -3, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -166 + 80. What are the prime factors of 1\/((-1)\/(-4)) - w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*1*sqrt(170)*2)\/(-1*sqrt(810) + 2*sqrt(10)*3) + -1)**2.\nAnswer: 4*sqrt(17) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 8*o**3 - 4*o**2 + 6*o - 6. Let d(i) = 25*i**2 + 1 + 2*i**2 - 4*i - i**3 - 26*i**2 + 3*i. What is 6*d(b) + v(b)?\nAnswer: 2*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -137.998 - 0.002. Let q = 360.15 - 226. Let o = s + q. Round o to one decimal place.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 + 0.19. Let u = v + 0.71. Let m = 3 + -2.9. What is the nearest to 2 in m, 3\/4, u?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**6\/720 + 3*q**5\/40 - 17*q**4\/48 + 25*q**3\/36 + q**2 + 1532*q. Factor u(d).\nAnswer: -(d - 25)*(d - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*g = -42*g - 6. What is the smallest value in 0.1, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 34 = -160. Let g = u + 67. Calculate the remainder when 35 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 2, -15 in ascending order.\nAnswer: -15, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 769.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58 + 61. Suppose 29 - 83 = -h*t. Suppose -t - 50 = -4*f. What is the highest common factor of f and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-324)\/2112 - (-4)\/64.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by (-145)\/(-7) - 6\/(-21).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**3 - l. Let f be w(-1). Let c(a) = a**2 + 10*a + 9. Suppose 7 = 4*q + 47. Let t be c(q). Solve 0 = -5*k + f*j - 2 - t, 0 = 3*k + 2*j - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36973445 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 670 is divided by 131.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1019*p - 174*p - 360*p)*(-166 + 26*p + 166) in the form n + q*p + g*p**2 and give g.\nAnswer: -40378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - 11. Let f = -28480 + 28504. What is the least common multiple of c and f?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*j*r**2 - 2*j*r - 30*j wrt r.\nAnswer: 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/25)\/b)\/b**10)**(-10\/7)\/((b**(2\/7))**(3\/29)\/(((b*b*b*b**2\/b*b)\/b)\/b*b*b\/b**(-1\/2))) assuming b is positive.\nAnswer: b**(42773\/2030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from qoqqqqvaaoqq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.17 + -38.17. Let l = 38.00004 + f. What is l rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 3*i**4 + 75*i**3 + 450*i**2 + 240*i - 768 = 0?\nAnswer: -16, -8, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 15. Put 2, m, -5 in descending order.\nAnswer: m, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12084969349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3504, 7158, 10950, 14868, 18900, 23034, 27258, 31560?\n\"Answer: -2*t**3 + 81*t**2 + 3425*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 61 - 104 = 0. Let r = i + 58. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of k**4\/24 + 2*k**3 - 9*k**2. What is the tens digit of w(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3733200 divided by 27450?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/128740 and -81\/3140.\nAnswer: 128740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19344 divided by -9551.\nAnswer: 19344\/9551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 12160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14896758?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 300*z**2\/11 - 302*z\/11 + 2\/11.\nAnswer: 2*(z - 1)*(150*z - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40004 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-10 + 5)) + (0 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 84\/(-105) + 1 + (-177)\/240 and -117\/40?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55 or -18739\/335?\nAnswer: -18739\/335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8906533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 141740518879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1))**24*(v**(5\/2)*v)**20 assuming v is positive.\nAnswer: v**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.12, -24.14 in descending order.\nAnswer: 5, -0.12, -24.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 45289380 divided by -6\nAnswer: -7548230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3187, -6378, -9569, -12760?\n\"Answer: -3191*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 184422, 367616, 550810, 734004?\nAnswer: 917198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 3*a + 38. Let m be s(10). Let y = 98 + m. Let k(w) = w**3 - 7*w**2 + 8*w + 6. Let j be k(6). Calculate the greatest common factor of j and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1eb0e2 + -38?\nAnswer: -1eb12a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 390581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16133845 divided by 65.\nAnswer: 248213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.452 + 7.738. Let m = i - 3.19. Let v = 22 + -16. Is m not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1135008935.\nAnswer: 5, 163, 1392649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 284 - 283. Solve 0 = -w + x + 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + 101110111000000?\nAnswer: 101110111000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = -0*g + 2*g. Let c = 11 + 5. Let h(r) = r**2 + 25*r + c*r - g*r. Let t(u) = -29*u**2. Give t(h(z)).\nAnswer: -29*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3171*s**2. Let q(c) = -34*c - 1. Let u(z) = -99*z - 3. Let n(l) = -3*q(l) + u(l). What is f(n(g))?\nAnswer: -28539*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, s: 1, y: 1, u: 3, i: 2}. What is prob of picking 1 y, 1 s, and 1 a?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2 - 3*w - 7. What is the hundreds digit of z(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t + 1. Let j(i) = 12*i + 23. Let r be j(-1). Suppose -2*l + o = 8, -3 = 3*o - 15. Let q(y) = -16*y + 5. Let v(w) = l*q(w) + r*g(w). Give v(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**4 - y**4 - 2*y**4 + 2*y**2 - 2*y**2 + 2*y**4 + 0*y - y**4 + 0*y + (-3*y**2 + 3*y**2 + y**2)*(2 - 2 + 2*y**2) + 3*y**4 + 4 + 5*y**4 - 3.\nAnswer: 10*y**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 4552 divide 3644267472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-66)\/(-15) + 3\/5. Suppose p + 194 = -n + 5*n, -3*p = -l*n + 246. Is n a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -50 - -1200?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.34, 10, 1\/4 in decreasing order.\nAnswer: 10, 4.34, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*u - 23*u + 48*u + 11*u**2 - 59*u.\nAnswer: 11*u**2 - 112*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1364 + -1228. What is the least common multiple of u and 238?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = v - 4. Let r(w) = -40*w - 124. Let x(g) = 8*g + 25. Let i(a) = v*r(a) - 11*x(a). What are the prime factors of i(-13)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a milligram in micrograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/20 + (-33)\/(-6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -61 in -2, 2\/3, -3\/2, -1\/4, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -805, 453, 2545, 5465, 9207, 13765, 19133, 25305?\nAnswer: 32275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 144, 141, 138, 135, 132?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5*u**3 + 22*u**2 + 51*u + 22. Calculate i(-2).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 15*s + 73. Calculate q(-10).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-196)\/(-42))\/(26\/(-39)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14611813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12478270*s**2 + 2106*s + 5466 wrt s?\nAnswer: 24956540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 76 - -11c?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 152428589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-39))\/(119\/(-1666)).\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 5 - 6 = 0. What are the prime factors of (-1 + 315\/(-6))*-2*m?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 j when three letters picked without replacement from eggjccjtgjggtcjc?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.56383 and 2.4.\nAnswer: 5.96383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.845 and -1251.\nAnswer: -1057.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 338 (base 10) to base 2.\nAnswer: 101010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -25*o**6\/6 + 12*o**5 + 85*o**4\/2 - 145*o**2\/2 - 60*o + 1845. Find a, given that h(a) = 0.\nAnswer: -1, -3\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4 = -6*j. Solve r - 9 = -j*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27665493607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 5*x = 125, 0 = -20*h - 2*x - 1423 + 1851 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3*((-1*(sqrt(132) - 1*sqrt(132)))\/(sqrt(108)*5) - (3 + 1 + sqrt(704) + -5)))**2.\nAnswer: -6345 + 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-22) - 53\/(-11). Solve 0*m + 2*m - g*v = -2, 4*v = 3*m + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 43, -11, -3 in increasing order.\nAnswer: -11, -4, -3, 3, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*k + 188*k - 181*k = 31647. Solve 54*a - 87*a = k for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 0.4, 0.1, -0.155, -2\/9?\nAnswer: -0.155","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-57)*-18*(-400539)\/(-274053)\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 7*w**2 - 5*w - 1. Let g be s(6). Is (-6 + g)*(-2 - 1) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3707, -3698, -3683, -3662?\nAnswer: -3635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-105)*(-36)\/(-28)*(-28)\/(-48).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 969869263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, g: 11, k: 4}. What is prob of sequence yyyy?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -i*z**3 + 23*i*z**2 - 33*i + 10034*z + 8887 wrt z.\nAnswer: -3*i*z**2 + 46*i*z + 10034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2101193.1 to the nearest one hundred thousand.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 9*y**2 - 4*y + 70. Let o be n(-7). Suppose -48*c + 0*c = o. Find g such that c + 0*g + 8\/3*g**2 - 1\/3*g**3 = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -6*p**2 - 8*p - 8. What is h(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3534 + -3?\nAnswer: 3531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - 1)*(7 + -1 + 1). Let p = -14 + i. Solve 0 = -m - p*m + 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 30.9 and -29133821.\nAnswer: -29133790.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/36)\/((14\/6)\/1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10501171 > 10501171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 44\/10 - 8\/20. Solve -3*k - 3 = 3*t, -k - g*k = 2*t + 11 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3976593527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 5 = 11 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(0*f**2 + 0*f**2 - 2*f**2) - 2*f**2 + 0*f + 0*f + 0 + 1 + 0 + 5*f**2.\nAnswer: 7*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 4) + (-7 - -12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -458*a**2 + 1253*a**2 + 601*a**2 + 1862*a**2 + (-7*a + a + 2*a)*(2 - 5 + 5)*(0 + 2*a + 0).\nAnswer: 3242*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - r + 589 = 0, -12*j - 4*r = -9*j - 367. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 3750?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_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: Is 11782647 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(-2\/7)*p)\/p)\/p)**23*p*p**8*p*p**2)\/((p**(-1\/4))**(-26)*p*((p*p*(p\/(p**(-3)*p))\/p)\/p)\/p*p*p**(3\/7)) assuming p is positive.\nAnswer: p**(-57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llswsejlsswslsffws. Give prob of sequence le.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 1. Let n be (464\/(o - 4))\/(-2). Suppose -2*b = v + v - n, 4*b + v - 128 = 0. List the prime factors of b.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77359?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 98 and 441.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12330 (base 7) in base 2?\nAnswer: 110010110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4755913 is divided by 3385.\nAnswer: 3373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -501 + 501 - r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -25\/4, 5, -0.04, 3\/2?\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -15 - -11) + -35?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 12 = 0, -4*g - 123 = 38*s + 111 - 34 - 36 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 996?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 23*d**2 - 2*d - 1. Suppose 0 = -3*s - 12. Let c = s - -6. Is r(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**7\/420 - 73*l**4\/24 + 56*l**3\/3 - 47*l. Let s(a) be the second derivative of b(a). Differentiate s(n) with respect to n.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in 8\/23, -8\/13, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -161a (base 12) to base 16\nAnswer: -a36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 11:04 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 51\/4 - (-1)\/4. Suppose -v + 4*z - z = n, -5*v + 4*z = 32. Let h(r) = 2*r**2 + 5*r - 4. Determine h(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 10*t**2 - 9*t + 2. Let c be s(9). Suppose -c*y - 98 + 518 = -2*u, -y = 3*u - 194. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 + 2 + 18340*u**3 - 1 - 1.\nAnswer: 18340*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*(44\/(-8) + 3). Is x > -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 582207 is divided by 1489.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -62190 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r + 18 = -9*r. Let h(u) = 10 + r*u**2 + 11*u - u**2 + 0*u**2 - 5*u**2 + 3*u**2. Determine h(9).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/63*-3*6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10060, -24203, -38346, -52489, -66632?\n\"Answer: -14143*r + 4083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-39*h**2 + 44*h**3 + 39*h**2)*(2117 + 1840 - 413 - 795 + 374) to s*h**3 + n + v*h + a*h**2 and give s.\nAnswer: 137412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*c**2*y**4 - c**2*y**2 + 59*c**2*y + 2*c*y**3 + 196*y**4 + 5 wrt y.\nAnswer: -72*c**2*y + 12*c + 4704*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -88, 0.3, 0.5, 0.\nAnswer: -88, 0, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16148 smaller than 16149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*p**5 + 533*p**4 - 4886*p**2?\nAnswer: -360*p**2 + 12792*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + 7. Let i be v(4). Suppose -26 + 6 = -5*o. Suppose -o = -2*f - 0*f. Solve -g + i = -f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/5 and -35\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-5)\/(-2) + -9?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222002020 (base 3) to base 7.\nAnswer: 106302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*y - 76 - 36 = 0. What is the smallest value in y, 24, -1\/6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2*l, 0*l + r + 4 = -l. Let b be (l - 0)\/(6 - 4). Let u be 0\/b*(-2)\/2. Solve 2*q = 3*j + 2 + 20, u = -q - 5*j - 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 1, 38, 90, -1 in decreasing order.\nAnswer: 90, 38, 1, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 7.4, 130, -0.06, 0?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence svs when three letters picked without replacement from {v: 1, s: 4, c: 6}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-3) + -1221*(-6)\/54. Let f = v - -44. Suppose -12*t = -9*t - f. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 k when three letters picked without replacement from {a: 1, o: 2, k: 1, r: 4, i: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 9*s**2 - 26*s - 26. Let p be t(-6). Solve -6*v + 2 = -p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-2) + 86\/(-30). Let l = 262\/3 + -88. Let q = -0.1 + 0.1. Which is the nearest to 1? (a) l (b) q (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2*b**2 - 9 + 4 + 2 in the form i + k*b + x*b**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 4:01 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -302174, -302173, -302172, -302171?\n\"Answer: w - 302175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.6075 + 1.\nAnswer: -4.6075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - o**2 + o**3)*(20*o + 29*o - 60*o + 19*o).\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**2 + 25*g**3 + 4*g**2 - 1880*g - 35 + 1887*g - 22*g**3 as z*g**2 + t*g + i + w*g**3 and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -4. Let s = 0 - 1. Let r = -0.7 - -0.6. Which is the third smallest value? (a) r (b) s (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2964.9 rounded to the nearest 10?\nAnswer: 2960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25*2.863.\nAnswer: -71.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**3 - 4*u**2 - 4*u + 7. Let f = -328 - -322. Let o be c(f). Is 320 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-3)\/6)\/((-2)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 - 2*x + 4. Let g be o(2). Let v = -6 - g. Let h = v - -15. What is the remainder when 1 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43797 + 43716.516. Let i = v + -0.616. Round i to the nearest integer.\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 15 = 5*m, -2*s = 2*m + 2 - 10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6161 or -6108?\nAnswer: -6161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26377 + 26414.498. What is c rounded to 0 decimal places?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 65.8203?\nAnswer: -68.8203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1\/y)**4)**(-3\/5) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 180 and 48?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 85061686 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (((-33)\/12 - -2)\/(150\/4700))\/((-23)\/(-46))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - c = -0*a + 6, 14 = 3*a - 4*c. Suppose -2*h + 30 = 3*h. What is the least common multiple of a and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 10 = -2*k. Let x be (-378)\/(-15) - (-1)\/(-5). Solve 4*d = -0*i + i + 5, -5*i - x = k*d for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*t + 4*o + 21 = -55*t, -t = 4*o + 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1356 + 4067\/3. Which is the nearest to h? (a) -3 (b) 0.05 (c) 1\/4 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 - 4. Suppose -5*j - 2*o = -2*j - w, -5*j + 50 = 2*o. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 5) in base 12?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5*z - 1)*(-1 - 3 + 5) + (1 + 0 + 0)*(-2*z - 1 + 1).\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10035 is divided by 124?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1440 divided by -4\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 540550611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-90)*1443 - 1\/3. Let v(d) = -d + 13. Let j be v(9). Suppose j = 4*r, -2*q + 5*r = r - c. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101963 is divided by 116?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199391 is divided by 871.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*y = -2*b - 1944, -5*b - 3*y + 4879 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.1 (b) -4.1 (c) -2 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + sqrt(21)\/sqrt(3) + 3)*1)**2 + (-2*sqrt(847))**2*6.\nAnswer: 12*sqrt(7) + 20365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 8:43 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 2*f - 121 - 43, -3*f + 2*b + 241 = 0. Calculate the remainder when f is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 10*v + 11*v - 2.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus -41.3?\nAnswer: 40.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a millennium in years?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*g - 34 = -0*g, 18 = b - 3*g. Let i = 36 - 33. Suppose 0 - 9 = -i*c. What is the remainder when b is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akkkkaaakaka. What is prob of picking 2 k and 1 a?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 652, -7, -49977 in descending order.\nAnswer: 652, -7, -49977","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 10*q + 7. Let w be b(5). What is the greatest common factor of 16 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**5*r)*r*r**(-2\/9)*r)\/((r**8*r)\/r*(r**(-2\/3)*r)\/r) assuming r is positive.\nAnswer: r**(-104\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 307.8 to the nearest 10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1438, 2876, 4314, 5752, 7190?\nAnswer: 8628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*x = 5*x + 16 - 88 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -47950 divided by 1918?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2625 (base 14) in base 16?\nAnswer: -1a29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - -2. Calculate the common denominator of 27\/4 and 8\/(-36) - (-1 + (-193)\/w).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6967, -6811, -6655, -6499, -6343?\nAnswer: -6187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 3*z**3 + 4*z**3 - 3*z**3.\nAnswer: -2*z**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 12 - 24 = 0. Let r = 0.3 - 3.3. Which is the nearest to -0.2? (a) -2\/5 (b) r (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 9*t - 49. Let l be a(-4). Find the second derivative of -52*z**2 + 55*z**2 - 60*z - l*z**4 - 7*z wrt z.\nAnswer: -36*z**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -8*l - 1. Let w be h(-1). Let n = w + -5. Let s be (-10)\/5*(-3)\/n. Solve 15 = s*r - 0*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 u when two letters picked without replacement from aauaepaxux.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 115\/69*18\/(-10). Which is the closest to 3? (a) -4 (b) 0.21 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14.32 - 14.72. Sort 0.05, x, -3\/4.\nAnswer: -3\/4, x, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3 - 317*x + 318*x + 1. What is y(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -187 + 3925\/21. Which is the third smallest value? (a) 3 (b) -11\/3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 6. Differentiate x - 3 - 2 - 17*f**4 - 1 with respect to f.\nAnswer: -68*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (-5)\/25*-4. Let p = -175 - -1574\/9. Which is the second smallest value? (a) f (b) p (c) -4 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*z**2 + 267743375*z + 76498110.\nAnswer: -5*(z - 7649811)*(7*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s - 3. Let k be x(-4). Suppose 0 = 5*r + 46*h - 47*h - 11, -1 = h. Solve -q = -r*d - k, -6*d - 4*q = -5*d + 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (-28)\/4 + 3. Let x = 10 + 56. Let o = x - 593\/9. What is the third biggest value in o, -1\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(130\/104 + (-2)\/2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.4*-0.1.\nAnswer: 1.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-2)*392\/49. Let n(z) = -z - 1. Let w(i) = -22*i + 12. Determine v*n(u) + w(u).\nAnswer: -34*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 4*g**2 - 3*g - 4. Suppose -2*n + 7 = y, -4*n - 2*y + y + 17 = 0. Let p be -6 + n + 1 + -4. What is s(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 132?\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 146 or 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 4195.85 to the nearest ten.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70276.9 hours to milliseconds.\nAnswer: 252996840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 9*x**2 - 2*x - 9. Suppose 7 = 5*r - 28. Let q be m(r). Let k = q - 161. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8029*j**2*m + 11367*j**2*z**2 - j**2*z - 2*m*z**2 wrt m?\nAnswer: -8029*j**2 - 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 4*d - 2. Let y be i(5). Let x = 3 - -3. Suppose j - x = -h, -2*j - h = j - 24. Calculate the greatest common factor of j and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 2*r**2 - r + 3. Let g be l(3). Let f be 4\/10 + 98\/5. Let u = g + f. Does 6 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.5 - -0.5. Let n = -95 + 93. Let x = 215\/6 - 106\/3. What is the nearest to m in x, n, -6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -3.2931, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 26*s**2 - 13*s - 85. List the prime factors of l(11).\nAnswer: 2, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/8*(-272)\/170.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4029*c**2 + c - 1. Let o(u) = 2*u. Determine o(t(w)).\nAnswer: 8058*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -2 (c) 4\/3 (d) 0.806\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - 0 - (-2 + 9\/(-9)). Suppose 0 = -3*a + 2*w + 12 - b, -2*w = 3*a - 7. Solve 0 - 16 = -5*p + a*v, -5*v + 25 = 2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*f - 76 + 79 + 110*f**2 - 117*f**2 to o*f + c*f**2 + z and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*c + 257*c = 121*c - 306 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2\/2 - 252565*x - 12757815845\/2.\nAnswer: -5*(x + 50513)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 11 = -13. Solve d + 0 = -4*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 6*j**2 - 2*j - 3. Give g(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 11*i**2 - 4*i - 2. What is the tens digit of r(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -572045 <= -572036?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 1\/294*z**7 - 4\/21*z**4 - 1\/7*z**2 + 3\/14*z**3 - 3*z + 1\/10*z**5 + 5 - 1\/35*z**6. Find y, given that k(y) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 135*d - 1 = -136*d, 28*d - 14*d = -l + 79 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (90*d - 62*d + 60*d)*(2 - 1 - 3) in the form p*d + a and give p.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*r + 4. Let l(p) = -p**2 + 7*p - 7. What is the least common multiple of ((-6)\/(-3))\/(2\/r) and l(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 1922*v**3 - v - 4. Let j be m(4). Round j to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1001*f**6 - 244*f**2 - 34*f?\nAnswer: 120120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 962?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 56.5141?\nAnswer: -57.5141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -410*t**3 + 7 + 141*t**3 - 7.\nAnswer: -269*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 467.7 + -468. What is the nearest to -2 in -0.1, 0.2, z, 2\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 118978*v + 475894. What is s(-4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -455684, -455757, -455830, -455903, -455976?\nAnswer: -456049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 382721328 divided by -1?\nAnswer: -382721328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 84 = 5*p - 67, 5*p = -2*i + 154. Let u = p + -18. Suppose 4*l = -8, 4*l = -2*s - u - 4. Which is bigger: s or -9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvvbnvt. Give prob of sequence vb.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**4\/2 + x**3\/3 + x**2\/2 - x + 2. Let z(s) be the first derivative of i(s). Let o be z(-1). Solve -21 + 1 = -o*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 6*d**2 + 17*d + 3. Let i be b(4). Suppose 33*n + 408 = i*n. What is the remainder when n is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((-1)\/2*0 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14753 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*a + 47*a = 12. Let q(x) = -x. Let d be q(-2). Let c(u) = u - 3*u - 2*u**d + 6*u**2. Let z(i) = -i**2. Give a*c(w) + 5*z(w).\nAnswer: -w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -15*z + 6*z + 7*z. Let v(s) be the first derivative of -2*s**3\/3 - 7*s**2\/2 - 147. What is l(v(h))?\nAnswer: 4*h**2 + 14*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.177 take away -50.305?\nAnswer: -9.872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 4*g + 3*g)*(-3 - 6 + 4).\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 195*o - 36 = 200*o, 3*r = -o + 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of 5\/2*k**3 + 0 + 7*k**2 + 1\/4*k**5 + 1\/120*k**6 + 1\/24*k**4 + 0*k. Let b be q(-15). Solve b = -4*x + 15 - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*q**2 - 397*q**2 + 27*q**2 - 36*q**2 - 10 - 384*q**2.\nAnswer: -672*q**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 4458122.2 to the nearest 10000.\nAnswer: 4460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 36 = -3*h, -3*h + 6 = c + 2. Suppose -4*f = n - c, -4 = f - 3*f - n. What is a in 2*a + 4\/7 - 2*a**f - 4\/7*a**2 = 0?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppndjjbjubuu. What is prob of picking 1 j, 1 d, 1 p, and 1 n?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7224)\/(-63))\/((228\/(-1710))\/((-1)\/10))?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273 is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9973.110142 - 9973. Let y = 0.11 - v. Round y to five decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 18 = 4*m, 2 + 0 = 2*z. Let r(h) = -3*h**2 - m*h + 6*h - 2*h. Let p(g) = 5*g**2. What is p(r(n))?\nAnswer: 45*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*n**2 + 94*n**2 + 150*n**3.\nAnswer: 150*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -532599 divided by 13?\nAnswer: -532599\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7972.\nAnswer: 2, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*a - 2*n - 2*n, 0 = -5*a - 4*n + 6. Suppose 80 = -0*o + 4*o + 3*y, a*o + 3*y - 40 = 0. Calculate the highest common factor of o and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -9*j**2 + j + 2. Let g be a(-1). Let d be g\/4*(-279)\/6. Let m = d + -33. Calculate the greatest common factor of m and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**3*c**2 + 30*a**3*c + 29*a**2*c**3 + 375*a**2*c - 10*c**3 + 2*c wrt c?\nAnswer: 2*a**3 + 174*a**2*c - 60*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9558281*c**2*k**3 - 23*c**2*k - 12212*c**2 - 2*k**2 - 2 wrt k?\nAnswer: -57349686*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 5, 30, 2, -2 in ascending order.\nAnswer: -2, 0.5, 2, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -15*y**2 - 148*y - 2. Determine n(-5).\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 68 and 5542.\nAnswer: 11084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 17*g**2 - 9*g + 12. Let x be r(-11). Let o = x + -76. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1241*s**2 - 1238*s**2 + 2478*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 61*n**2 + 75*n - 8. Let y(a) = -167*a**2 - 225*a + 22. What is 8*i(r) + 3*y(r)?\nAnswer: -13*r**2 - 75*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 + 0.4. Let v = 0.2 - r. Let o = -3.7 - -4. What is the nearest to v in o, 2, 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-4)*(-6)\/12)\/(43\/(-1161)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 n when two letters picked without replacement from hnhhbhhhhhhnhnhbbn?\nAnswer: 44\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -43, -16, 1, 2\/21, 3 in decreasing order.\nAnswer: 4, 3, 2, 1, 2\/21, -16, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 140, 1\/8, 6, 0.1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/83 (b) 2 (c) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -13687*u**4\/4 - 1611*u + 13123. Find the first derivative of g(z) wrt z.\nAnswer: -41061*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8535, 8463, 8387, 8301, 8199, 8075, 7923, 7737?\nAnswer: 7511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-430)\/8)\/((-16)\/64). Suppose 3*p + p = 0, 5*v + 3*p - z = 0. Suppose 14*b - 1066 = 5556. What is the greatest common factor of v and b?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142345 (base 6) to base 8.\nAnswer: -32331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5*m = -80, 0 = -2*a + 3*m + 12 - 5. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 518264922 a multiple of 1101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1616681 and 22820.\nAnswer: -1593861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 95264, 95268, 95272, 95276, 95280, 95284?\n\"Answer: 4*p + 95260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 40237a (base 11) in base 7?\nAnswer: 5334135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -13484*o - 1187. What is the ten thousands digit of b(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 10. Suppose 3*j - 17 = 4*u, -4*j - c*u + 30 = -0*u. Is j >= 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 - 6384\/196 - (-64)\/14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 113657 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-3)*4 - (2 + -2). Solve -l*k = -6*k - 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2372*r**3 - r**2 - 5465*r**3 - r**2 + 3*r**2.\nAnswer: -3093*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 3*u + 3*u)*(-1 - 2 + 5)*(4*u + 3*u + 12*u)*(7 - 9 + 9) + 0*u**2 - 3*u**2 + 2*u**2.\nAnswer: 531*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (-412)\/(-12) - (-3)\/9. Let f = h + 34. Let 3\/2 - 3\/2*m**f - 9\/2*m + 9\/2*m**2 = 0. Calculate m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ten sevenths of a week in hours?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77 and 56177?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2201101221122 (base 3) in base 13?\nAnswer: 3b7848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 + 53 = -5*q - 3*s, 0 = -q - 5*s - 2. Let i(l) = -36*l**3 + 27*l. Let a(v) = 5*v**3 - 4*v. Give q*a(w) - 4*i(w).\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 55*j - 50*j - y, 0 = -j + y + 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 78\/(-9)*(-10 - -4 - 3). Suppose 3*o - 167 - s = -t, 5*t - 5*o - 1205 = 0. Is t a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of 17*o**4\/4 - o**3 + 5*o**2\/2 - 20*o. Suppose -2*v + 8 = -0*v. Is j(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 11*q**2 + q. Let s(b) = -2*b**2. Let c = 19 - 30. Let r(p) = c*s(p) - 2*u(p). Factor r(v).\nAnswer: 2*v*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -57*s - 1085. What is f(-19)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/(-4) + 21\/(-28). Let s(h) = 0*h + 0 - n - 3*h**2 + 2 - 2*h. Determine s(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-7) - (-4 + (-187)\/(-7)). Let n = i - -45. Suppose n*q - 17*q = 15. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8530*f**4 - 4447*f?\nAnswer: 102360*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82\/111, -0.8, 493 in descending order.\nAnswer: 493, -82\/111, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 240\/(-17) + (-16 - (-7946)\/493)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -1 + 2*k + 1. Let w(u) = 7*u**2 + 4*u**2 - 8*u**2 - u**2 + 9*u**2. Calculate f(w(n)).\nAnswer: 22*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5970196 + -3?\nAnswer: -5970199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 261 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28\/1175 + 1007\/7050. Find i, given that 0 + y*i**2 - 1\/6*i**3 + 1\/3*i = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sv when two letters picked without replacement from {v: 1, g: 7, a: 1, b: 5, c: 1, s: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 9*f**2. Let c = 3 - 2. What is the remainder when x(c) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 5. Let p = 33 - 35. Put p, 3, j in increasing order.\nAnswer: j, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 9*p**2 - 7*p - 8. Let o be a(8). What is the third derivative of -512*k - 8*k**3 + o*k + 16*k**2 wrt k?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*w = -q + 74, q = 5*w + 47. Calculate the highest common factor of q and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6 = -2. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(7)*-3 - sqrt(7)) - (sqrt(234)\/sqrt(2) - sqrt(13)) - -3*-4*(sqrt(325)*-2)**2.\nAnswer: -15600 - 9*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r - 16. Let h be g(12). Suppose 5*s = v + 3*v - 25, v - 3*s = h. What is the third derivative of -3*a**2 - 26*a**v + 115 - 115 wrt a?\nAnswer: -1560*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**3 - 9*m**2 - 17*m - 19. Let a be y(-2). Sort a, -20, -3, -1 in increasing order.\nAnswer: -20, a, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**6\/90 + 7*y**5\/30 - 16*y**4\/9 + 19*y**3\/3 - 21*y**2\/2 - 440*y. Let c(d) = 0. What is d?\nAnswer: 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9690918 to the power of 1\/2, to the nearest integer?\nAnswer: 3113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 475481?\nAnswer: 475481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -156, 279, -228 in ascending order.\nAnswer: -228, -156, 1, 279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.5048 rounded to one decimal place?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/37)*u**(-17\/2))**(31\/2) assuming u is positive.\nAnswer: u**(-19623\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in 0.01, -0.34, 0.5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*f + 1840 + 6043 = -2801 + 2164 for f.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13 - -10) + 11*1. Let n(w) = 20*w**2 - w - 2. Let c be n(o). Let x be c\/15 + 4\/(-6). Calculate the greatest common divisor of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 22*b. Suppose 4260 + 1536 = 21*z. Let f(v) = 279*v + 278*v + z*v - 851*v. What is f(o(t))?\nAnswer: -396*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1012)\/76153*(-63)\/(-24)?\nAnswer: -3\/86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (15230 - 15230 + 175*r**3)*(2 - 3*r + 0*r + 2*r) as h + z*r**2 + s*r**3 + k*r + l*r**4 and give l.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w**2 - 10108*w + 101475. What is g(10)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2391562978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2101 is divided by 212.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 197, -2, -8, -142, 3 in descending order.\nAnswer: 197, 3, -2, -8, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1, 11, -376, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -487 - -532. What is the third derivative of -10*b**5 - 2*b**5 + 17*b**5 - i*b**2 + 229*b**2 + 29*b**3 wrt b?\nAnswer: 300*b**2 + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/((-59)\/(-79650)*-25)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -127.835 + -0.165. Let r = u - -128. Which is the second smallest value? (a) 3 (b) 0.4 (c) r (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u - 6. Calculate s(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -1813006.\nAnswer: -1813001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -14*f**3 + 4848*f**2 + 1464102*f - 2947556. Let t(j) = j**3 - j - 2. Let v(r) = -h(r) - 18*t(r). What is w in v(w) = 0?\nAnswer: -607, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -746 (base 15) to base 10.\nAnswer: -1641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1398712?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*k = -295, -y - 17*k + 19*k + 55 = 0. What is the remainder when 151 is divided by y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -40484, -81044, -121604, -162164, -202724, -243284?\n\"Answer: -40560*q + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 131646379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -2. Let w(m) = -3*m**3 + 4*m - 2*m + 2*m**o. Suppose -6*g - 11 = 1. Calculate w(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a - 6. Let p be j(2). Let h be 93*p\/(-48) + (-2)\/(-8). Suppose 53 = h*m + 13. Solve -3*w = -m*o - 13, -2*w + 5*w + 2*o = -22 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.21 + 94.79. Let o = 55997 - 55901.962. Let d = x - o. Round d to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (209 - 209 - 189*s)*(-2*s + s - s)*(1 - 3 - 2).\nAnswer: -1512*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 148137 and 363?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-9)\/(45\/10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -4*a**3 - 168338308*a**2 - 1771111705438080*a - 1771111537099776 = 0.\nAnswer: -21042288, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -252551 + -142?\nAnswer: -252713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -50*q**2 - 10*q + 6. Let y(j) = 2*j**2 + 2*j - 1. Let s(n) = -3*r(n) - 15*y(n). Let i(u) = -u**2. Give i(s(x)).\nAnswer: -14400*x**4 + 720*x**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b4a4d (base 16) in base 11?\nAnswer: 2214385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 128*p**2 + p - 1. Let t(v) = -v**2 - v + 1. Calculate -q(l) - t(l).\nAnswer: -127*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + y)*(-3 + 0 - 1) + (2 + 0 - 3)*(-4 - 7 - 9)*(-87*y - 83*y + 156*y).\nAnswer: -284*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 26\/(-4) + 1\/(-2). Let o(y) = -3 - 104*y + 38*y + 65*y. Give o(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-1\/5)*l*l\/l**(1\/4)*l*(l\/((l*l*l*l*(l\/(l**(-5\/2)\/l)*l)\/l)\/l))\/(l\/l**(-5)) assuming l is positive.\nAnswer: l**(-179\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/38 and 87\/14.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113114, 226228, 339340, 452450, 565558, 678664, 791768?\nAnswer: 904870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 36*u**2 + 540*u + 1580. What is l(-3)?\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 153 + -153. Suppose 0*b + 16*b - 12240 = f. List the prime factors of b.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 102\/27 + 6\/27. Suppose -2*o = -3*o + a. Suppose -o = 3*r - 28. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**5\/9 + 335*m**4\/3 - 6137*m**3\/3 + 3563*m**2\/9 + 56098*m - 54560 = 0.\nAnswer: -1023, -5, 1, 6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34862 is divided by 44.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (3895 - 3957) + (77 - -2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -131334.812 rounded to the nearest one thousand?\nAnswer: -131000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0420306 + -0.0421. Round h to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01 + -399733.\nAnswer: -399733.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = f. Let i be -1*(3 - 0) + f + 3. Suppose 5*h = w - 24, i = h + 2*h + w + 8. What is the nearest to 1\/4 in h, -3, -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from ypjvjyypyyjxjyyyy?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103003012 + 3?\nAnswer: -103003003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 252, 253, 254, 255, 256, 257?\n\"Answer: x + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.002 - 2. Let v = t + -35.002. Let d = -34.5 - v. What is the biggest value in 0, -4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -48*y + 49*y. Solve 5*b - m + 26 = 0, -y*b + 3 = -m + 14 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 273, 244, 221, 210, 217?\n\"Answer: d**3 - 3*d**2 - 27*d + 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qd when two letters picked without replacement from {b: 1, d: 1, o: 2, q: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*i = 351280 - 347315 for i.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*u + 798 = -4*x, -2*x + 1189 = 3*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5232 + 5234. Suppose -2*f + 9 + 11 = 0. Solve 3*p + n*r = -f, -6*r + 3*r = -3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7390070 + 7390070 + 1494*p to the form w*p + q and give w.\nAnswer: 1494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2784 and -0.4.\nAnswer: -1113.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -885*f**5 - 1224*f**4 + 21*f**3.\nAnswer: -3*f**3*(5*f + 7)*(59*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 215*r + 216*r + 144*r + 224*r - 808*r - 9 - 8*r**2. Suppose 3*l - 4 = 4*l. Let s(i) = -i**2 - i - 1. What is l*j(h) + 36*s(h)?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.132 - 0.008. Which is the closest to 1? (a) -1\/5 (b) n (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103349 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 47\/463 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**2 - 15*q - 5. Let x be r(6). Suppose x*t - 45 = 7. Suppose -a - t = -58. What is the greatest common divisor of a and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 2*u + 2)*(12*u - 3*u - u) in the form w*u**2 + y*u + l and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + g + 1. Let s(q) = 3*q**2 - 2*q + 2. What is s(r) - 2*z(r)?\nAnswer: r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3\/4 - 39978*l**2 + 2879145*l\/4 - 6478623\/2.\nAnswer: -3*(l - 9)**2*(l + 53322)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6724*s**4 + 240096*s**3 + 1850392*s**2 - 5229408*s + 3189796.\nAnswer: 4*(s + 19)**2*(41*s - 47)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -22*h**3 + 48*h**3 - 25*h**3 + h - 45 + 20 + 24. Let g(q) = 28*q**3 + 2*q - 2. Give 2*d(t) - g(t).\nAnswer: -26*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(1 - 0) - -74. Suppose 4*w + 7 = -2*z + 27, 5*z + 3*w = x. Calculate the remainder when (-1068)\/(-24) + 2\/4 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(104)*-1 - sqrt(104))\/sqrt(8) + sqrt(39)\/(sqrt(75) - 2*sqrt(75)).\nAnswer: -31*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -3*o**2\/7 - 18*o - 123\/7 = 0.\nAnswer: -41, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 510161498?\nAnswer: 2, 7, 11, 3312737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 9:09 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 789 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1326)\/4*(-4)\/6. Let o(b) = -b**2 + 205*b - 6164. Let l be o(37). Calculate the highest common divisor of l and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 23 + 12)*(13 - 14 + 0*r**2 + 3*r**2).\nAnswer: 96*r**2 - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71234 is divided by 11866?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1150 = -3*r - j, -17*j + 22*j - 25 = 0. Let i = -145 - r. Calculate the greatest common factor of i and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 71?\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (3 - -1) - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 471 (base 15) to base 8\nAnswer: 1756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -34474662.4 to the nearest one million.\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*q - 37*q + 18 = 27*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 393, 366, 321, 258?\n\"Answer: -9*l**2 + 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10010301 (base 4) to base 8\nAnswer: -40461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2038 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (13 - (2 - 1))\/2. Find the third derivative of -g*v**4 + 17*v**2 - 20*v**4 + 6 - 6 wrt v.\nAnswer: -624*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**4\/8 - 8069*o**3\/8 - 4086405*o**2\/2 - 69007653*o\/2 - 121565070 = 0.\nAnswer: -4026, -12, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 6*t**2 - 2*t + 14. Let d = -61 + 67. Let u be z(d). Solve -n + 3*n - 20 = -u*a, -2*n = -10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -567, 3, -2, -4 in descending order.\nAnswer: 3, -2, -4, -567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ae when two letters picked without replacement from {g: 1, a: 1, e: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 874 + 3073*z**2 - 874 - 574*z**2 to the form v*z**2 + d + n*z and give v.\nAnswer: 2499","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*k - 230, 4*z - 9 - 3 = 0. Put 2, 5, k in ascending order.\nAnswer: k, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-72)*9*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468 is divided by 115?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2531 is divided by 311?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 5*r**5 - 7*r**5 + 2 + 2*r - 2*r - 2*r**5 + (r**4 - r**3 + r**3)*(-8 + 8 - 7*r).\nAnswer: -11*r**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 5, 4\/5, 0.1, -62?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 4*c + 8)*(-1 + c + 1).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 95246019 to the power of 1\/2, to the nearest integer?\nAnswer: 9759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -1a6e8?\nAnswer: -1a6e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (59\/118)\/(1\/(-2))*9. Which is the closest to -2? (a) 0.4 (b) f (c) -49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(90)\/sqrt(32).\nAnswer: -9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 6*y - 2*v = -80, y - v = -19. Which is smaller: y or -20?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5194543429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135161\/(-36)*4\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + (-3*(sqrt(208)*-2 + -3 + 3 + (sqrt(208) + (sqrt(208) - sqrt(208)*2 - sqrt(208)) - sqrt(208))) + 5)*5))**2 + 1.\nAnswer: 432000*sqrt(13) + 26979301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1920485 and 2405?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1768\/272 - 340\/8) + -4?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/((-6)\/(-4)) + 1. Let r = -11 - -12. Let d be (-7 - -1)\/(r\/l). Is 5 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6893 - -6893.5. Which is the nearest to 75? (a) w (b) 2 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 92 + -76. Calculate the lowest common multiple of ((-28)\/21)\/(3\/(-45)) and n.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4628 and 1080638.\nAnswer: 2314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1548 is divided by 42?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 7*m - 63. Let r(j) = -8*j + 73. Let p(t) = 6*r(t) + 7*x(t). Let s(v) = -14*v**2 - 2*v + 5. Determine -5*p(h) - 3*s(h).\nAnswer: 7*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1372 + -900. Suppose -7*m = -60 - d. List the prime factors of m.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1022 a factor of 69471774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -404407 equal to -808811\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - sqrt(16)\/(sqrt(8)*-1))*-4)**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c - 7. Let i be t(6). Let q = 15 + -13. Suppose 0 = g - q, 4*y = g - 6*g + 10. Which is bigger: y or i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**4 + 230*g**3 - 8180*g**2 + 15400*g.\nAnswer: 5*g*(g - 22)*(g - 2)*(g + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 5. Let d be j(9). Suppose -12 = -6*z + 48. Calculate the greatest common divisor of z and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, j: 2, p: 2}. Give prob of picking 1 p and 1 j.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2122, -2103, -2068, -2017?\n\"Answer: 8*j**2 - 5*j - 2125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13630793 is divided by 108?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*v - 2 = y - 20*v, 5*v = y + 14 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/2439 and 76\/813.\nAnswer: 2439","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 14*f - 66 = 0, -22416*c - 2*f + 24 = -22418*c for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -3*d - 8. Let q be d\/(-4)*8\/3. Let c = 51 + -30. Calculate the greatest common divisor of q and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 355\/56 - 153\/28. Factor 1 + y*c**2 - 1\/8*c**3 - 7\/4*c.\nAnswer: -(c - 4)*(c - 2)*(c - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16991.8695 to the nearest 100.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14172*h + 6764 = 14350*h for h.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/(-4)*(-4)\/(-3). Suppose 3*u = 2*u + p. Suppose -3*n = u, -2*r - 3*n = r - 24. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 7438.12?\nAnswer: -7442.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -17*g**4\/12 - 4*g**2 + 3*g. What is the derivative of x(i) wrt i?\nAnswer: -34*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 + 1230\/30)\/(2*-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26610 and 180.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -2. Let d be ((-4)\/5)\/((-10)\/25). Let u be ((f - d)\/(-1))\/(-2). Solve -4*g + g = u for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13683 - -13685. Solve -3*y = 4*k + n*y - 17, 4*y = 3*k - 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 6:05 AM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**5 + 39366*h**4 - 3204987*h**3 + 44191494*h**2 + 885562284*h + 838126440 = 0. What is h?\nAnswer: -13203, -10, -1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x = 4*k - 5*x, -127*k + 4*x = -126*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21067\/2 or -10533?\nAnswer: -10533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - 2*y - 1, -5 = 3*s - 2*y for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 16*b**2 + 15*b + 4. Let z be q(15). Suppose -3*g + 15 = z*d - 47, -3*g = -5*d - 17. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 76\/10 + 4\/10. Let z = 6 - n. Suppose -u = 3*u. Which is smaller: u or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + y + 3. Let g be n(7). Let a = g - -65. What are the prime factors of a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -40*j**2\/7 + 1252*j\/7 + 3864 = 0.\nAnswer: -147\/10, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2008 divided by 4\nAnswer: -502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1867 + 998. Round g to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 12937749.\nAnswer: 12937749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -306 + 301.58. Let w = -3.9 - n. Which is smaller: w or 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86985 divided by -138?\nAnswer: 28995\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*a + 2*a. Suppose 9 = -0*o + 3*o + 2*j, -o + 17 = -4*j. Suppose -o*q - 56 = 3*q. Do a and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 j when two letters picked without replacement from {b: 2, j: 1, t: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4170, -8324, -12448, -16530, -20558?\n\"Answer: 2*o**3 + 3*o**2 - 4177*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/9))**(1\/7) assuming m is positive.\nAnswer: m**(2\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*q = -22, -5*y + 2*q - 144 = -169. Calculate the greatest common factor of 658 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2. Let u(q) = 5*q - 2*q - 5*q + 4*q. Calculate u(f(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(2\/9)*z**(-1\/7))**(-2\/23))**(-5) assuming z is positive.\nAnswer: z**(400\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 + -0.23. Let o = 0.1 - s. Which is the nearest to -1? (a) 2\/7 (b) 2\/17 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + b - 20. Let q be i(-5). Suppose -4*a + 25 + 79 = q. Suppose -d + 55 = -a. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.3 (b) -0.016 (c) -1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1024.463 rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 123342 (base 6) in base 2?\nAnswer: 10101110001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52978 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j. Let y be v(0). Suppose y = -2*u - 0*u + 8. List the prime factors of -2*1 + 20\/u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, e: 9}. Give prob of sequence esse.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) 0.2 (b) -4 (c) 2156 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + -2 + -1 + 0. Let u(z) = -z**3 - 8*z**2 - 7*z - 5. Let q be u(-7). Let c be 4 + -4 - 2\/q. Is c smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4*z + 4*r + 8403, 4*z - 8391 = -5*r. What is z rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (16\/(-56))\/((-6)\/28)*3. Suppose i = 3*h + 48, v*i - 157 - 11 = 4*h. Which is smaller: 38 or i?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 5. Let m be -3 + -3 + 3 + 3. Suppose m*c = -x*c + 70. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5 = -3. Let d = 86\/51 + -6\/17. Determine l, given that 1\/3*l**c - d*l + 4\/3 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43900637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*j = 3*j - 308, -3*j - 12 = 0. Let m be 60\/u + 23\/5. Solve -m + 7 = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.2 (b) 0.1 (c) 21 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55185 is divided by 6129?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-5))\/(1\/((-1)\/(-14))).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -70, 1.3, -5\/804, -5 in ascending order.\nAnswer: -70, -5, -5\/804, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 690 and 917355.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1210, 550, -560, -2120, -4130, -6590, -9500?\nAnswer: -12860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 + 53. Which is smaller: o or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*f**5 + 100*f**4 - 2930*f**3 - 5080*f**2 - 1045*f + 1020 = 0. What is f?\nAnswer: -17, -1, 1\/3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/12 and 79\/2310498.\nAnswer: 4620996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n + 19*n = 220. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3153067.\nAnswer: 773, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24315 + -0.5.\nAnswer: -24315.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59284*b - 3*l = -59281*b - 15, -3 = b - l for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*b - 4*n - 79, 0 = 5*b + n - 136. Suppose b = 4*a - 5*s, -2*a + 25*s = 23*s - 12. Solve 2*k + 3 = a*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*p**2 - 103*p - 10*p**6 + 103*p wrt p?\nAnswer: -1200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 62 - 50 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -801*f**2 - 330033 - 892*f**2 + 330033.\nAnswer: -1693*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.104242 + -16.104261. Let s = 159 - 148. Let i = b + s. Round i to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*k - 57 = 4*w, k = -5*w. Let o = -4 + -3. Let t = o + k. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/(14*7\/(-56)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12951 is divided by 62?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, w: 1, x: 1, n: 2, b: 3, z: 5}. Give prob of sequence wz.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.4526 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -239 - -262. Solve 5*b + 3*p = -v, -3*b - 7 = 2*p + 7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-395756)\/(-8))\/(10\/4 + -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 26385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/2 + (7 - -6). What is the highest common factor of d and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + 1 + -11 - 215\/25?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 36, 137, 320, 609, 1028?\nAnswer: 1601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 3. Suppose -t + 2 = -0*t. Suppose 8 = -5*b - t. Let h = b + 5. Calculate q(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6378*q - 6361*q - 544 for q.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*g + 3*x + 85, 0 = -5*g - 5*x + 95. Suppose 24 = 5*d + c - 18, -d - 5*c + g = 0. What is the highest common factor of 88 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 220 and 330.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-5 + (sqrt(1216)*-4 + 2 - sqrt(1216) - sqrt(1216)) + 1)**2 + -3).\nAnswer: -218885 - 960*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 769*z - 15003 = 713 - 1105 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**2 - 4*l. Let x(p) be the second derivative of -p**4\/3 - 290*p. Give y(x(d)).\nAnswer: -32*d**4 + 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by -23497.\nAnswer: -25\/23497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of n**4\/6 + n. Let w(y) be the third derivative of 0*y + 5*y**2 + 1\/12*y**4 + 0*y**3 + 0. Calculate a(w(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*g + 5*v, -g = -0*v - v - 1. Let q be g\/(-1)*(0 - 0). Suppose -3*a + 47 + 55 = q. Is 17 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 1:09 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -64088 * -654.2.\nAnswer: 41926369.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 332053605 by -1502505.\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**4\/12 + 5*g**3\/2 + 12*g**2. Let l be j(7). Let w(b) = 3*b**2 - 2*b. Let v(o) = -o**2. Calculate l*v(r) + w(r).\nAnswer: 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 37 = 7. Let t(n) be the second derivative of n**3\/6 - 2*n + 31. Calculate the least common multiple of t(v) and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84835 and 278240?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -710, -706, -700, -692, -682, -670, -656?\n\"Answer: p**2 + p - 712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4323 + 4322.999997931. Round q to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24833 - -46956. What are the prime factors of m?\nAnswer: 22123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4966 to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -104\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/5 + 825698*o**2\/5 + 52850816*o\/5 + 845645824\/5.\nAnswer: -2*(o - 412913)*(o + 32)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1919526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/11, 16\/3, 0.3, -5, 45.47?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 - 789 = -273*n - 63*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100696735, 201393468, 302090201?\nAnswer: 402786934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6256)\/138 - -45)*((0 - -1) + (-115)\/40)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5289785027?\nAnswer: 41, 129019147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10.2 and -2138440.\nAnswer: -2138429.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 11 + 4 + -11?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -35*l**4\/12 + 2*l**3 - 11*l**2\/2 + 2626*l. Let j(d) = 12*d**2 - 4*d + 4. What is 11*j(y) + 4*w(y)?\nAnswer: -8*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q - 8. Calculate s(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264*o - 626*o + 4281 - 15411 = 26250 for o.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.6 - -0.0157384?\nAnswer: -4.5842616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 54, 197, 426, 741, 1142, 1629?\n\"Answer: 43*q**2 + 14*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**2 + 155*a + 1562. Let m be x(-9). Solve 2*u - q = q + 14, 29 = m*u - 4*q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (148 - (77 - -60)) + 1 + (47 - -1)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*n**3 - 10*n**3 + 41*n**3 - 12*n**3 - 82*n**3.\nAnswer: -136*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 2:27 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -45*m**2 - 1. Let d = -1 - -2. Let f be p(d). Round f to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 7:54 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*(-21)\/1225)\/((-18)\/(-45)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2\/11 - 8*q\/11 = 0 for q.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -290*t**3 - 2*t**2 - 43*t + 6. Let p(c) = -868*c**3 - 7*c**2 - 127*c + 17. Let w(x) = -17*g(x) + 6*p(x). What is the third derivative of w(m) wrt m?\nAnswer: -1668","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17, 12, 11, 14, 21, 32, 47?\n\"Answer: 2*p**2 - 11*p + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.52 - 33.48. Let j = -33.99999996 - w. Round j to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 15) to base 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6369137?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 51. Let g = -35 - -37. Suppose -6*x + g + 40 = 0. What is the highest common factor of x and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d*d*d\/d**(-2\/13)*d)\/d*d)\/(d*(d*d*d**32*d*d)\/d))**3 assuming d is positive.\nAnswer: d**(-1203\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*h + 46*h + 204 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 623*n*r**2 - 7*n*r + 2*r**2 + 78*r + 1 wrt r.\nAnswer: 1246*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 8 = -v + 9, 0 = -v + 5*d - 10. Solve v*g + 11 = -14 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 68*a + 75. Let z be g(22). Suppose -2*d + 3*m = -0*d - z, -2*m - 6 = 0. List the prime factors of d.\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1054 = 26*z - 9*z. Suppose -21*n + z = -127. Calculate the greatest common divisor of 144 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -14. Let l(j) = -j**3 + 4*j**2 - 4*j. Let m be l(3). Let x = m - -3. What is the closest to x in 4, c, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1017357 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -416.77?\nAnswer: -1667.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 2*q**2 - q - 15. Let x be n(-5). Suppose -21*b + 26*b = x. Let v = -12 + b. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3015 + 10104?\nAnswer: 13121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2 + ((sqrt(200) + 1)*-6 - -4*sqrt(200)*-1))**2.\nAnswer: 1600*sqrt(2) + 20062","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2000210 (base 3) in base 11?\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 76 = -5*p, -p - 4*p + 5*q = -75. What is l in p - l**4 + 4*l - 77*l**2 - 84*l**2 - 3*l**3 - 4*l**3 + 149*l**2 = 0?\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u + 84 - 96 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -2, 0.0088, -3, -1.06?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-48)\/66*(-22)\/4. Suppose -f = -i - 2, 4*f = -4*i - 0 + 40. Suppose f*s = u*s + 260. What is the remainder when s is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 18*q**2 + 149*q - 3651. What is h(20)?\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*b + 159*b - 58*b**2 - 81*b.\nAnswer: -58*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(56*l**5 + 2*l**4 - 2*l**4).\nAnswer: -112*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2. Let j(h) be the second derivative of -h**3\/2 - 3*h. Calculate j(g(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -2. Suppose 5*p + w - 6*w = 25, 9 = -3*w. Are p and o equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**2 + 2*l**2 + l**2)*((3 - 1 - 5)*(-3*l + l + 0*l) + 4 - 2*l - 4) + 94*l**3 + 60*l**3 - 51*l**3.\nAnswer: 95*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -u**4\/4 - 13*u**3\/3 + u**2 + 32*u - 813. What is x(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -174 and -7288?\nAnswer: 1268112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2688282 is divided by 246.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 3, 29, 1 in descending order.\nAnswer: 29, 9, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -202 - -202.2. Put y, -4\/7, 10, 2 in ascending order.\nAnswer: -4\/7, y, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*(c\/(c**(-44)\/c))\/c*c)\/c)**(8\/11)\/(c\/(c*(c\/(((c*c**(-30)\/c)\/c)\/c)*c)\/c))**(3\/2))**(-14) assuming c is positive.\nAnswer: c**(-12887\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10449667?\nAnswer: 59, 177113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 9:08 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16\/3 + 157\/30. Let q = -11 - -7. Let j be (1\/3)\/(1\/(-2)). Which is the closest to -0.1? (a) q (b) j (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*r + 60*r - 113*r)*(-2*r + 0*r + r) - 2*r**2 + 4*r**2 + 0*r**2.\nAnswer: 78*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -658 + 78254*f + 658.\nAnswer: 78254*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-122)\/(-3) - -8)*(-6)\/4. Let z = s + 76. What is the units digit of (-9)\/27 + 214\/z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w + 17. Let b(v) = -5*v + 3. Let i(h) = 2*h - 1. Let j(z) = b(z) + 3*i(z). Determine j(u(p)).\nAnswer: -2*p + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -10. Sort -1, 3, c in ascending order.\nAnswer: -1, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cvdrbcd. What is prob of sequence ddv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7350\/1950*26\/2\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -1 - (-1 + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37525730 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 524 - 304 = 0. Calculate the highest common divisor of h and 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1219338 >= -1219338?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 12:35 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 155955 and 129260?\nAnswer: 1405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -212, -386, -534, -644, -704, -702, -626, -464?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2865 + -2869. Put 5, t, 0.5, -5, -7.9 in decreasing order.\nAnswer: 5, 0.5, t, -5, -7.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6317 + 6240 + (14 - 0)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -74\/213107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 10*r + 11. Let t be ((-15)\/(-10))\/(-2 - (-111)\/60). Let l(c) = -c**2 - 10*c + 11. Calculate the least common multiple of b(-9) and l(t).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 8 - (-13 - (-35 - -18)) - 104\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (7 - -42) - 21 - -10\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31.8313 - 0.0213. Round o to 0 decimal places.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16406.23g to micrograms.\nAnswer: 16406230000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - w = 19, -t + 3*w = -2*w - 14. Suppose 2*a + 0*b - b = 24, -3*a = 2*b - 36. Calculate the remainder when (-48)\/t*(1 + (-75)\/a) is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-160)\/24 - -7)*-1)\/((-37)\/(-74))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) 1\/66 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*d + 138*d = -24672. What are the prime factors of d?\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4 = -3*c, -5*f - 10 = -2*c - 31. Suppose 0*l - l = -f, -4*k + 3*l = -29. Sort -1, k, -3.\nAnswer: -3, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 16*g + 1. Let n(u) = -328*u + 1. Give n(c) - 6*s(c).\nAnswer: -424*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 2*k**7\/21 - 4*k**5\/5 + 2*k - 24. Factor l(g).\nAnswer: 4*g**3*(g - 2)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3072 divided by 8\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**4\/17 - 17248*q**3\/17 - 1706692*q**2\/17 + 167708254560*q\/17 + 189086875978050\/17 = 0.\nAnswer: -1635, 5947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 40?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 70*p - 3*p**2 - 67*p - 1 + 1 as m*p + o + y*p**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2290538 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - (4\/(-8) + 0)*2. Let l be (-12)\/m - (-3)\/(9\/(-12)). Solve -l*c = 3*c - 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/187 and -8\/425?\nAnswer: 4675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.01 + -0.29. Let t = -79 + 82. Let s = -0.277 - -0.777. Which is the second smallest value? (a) s (b) -2 (c) t (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 2:26 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**3 - u**2 + 4*u - 3. Let c be p(2). Let t be (-11)\/(-3) - (-10)\/c*1. Factor 403 + 9*n**2 - 403 + 6*n + t*n**3.\nAnswer: 3*n*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3 - 6*q - 6*q - 6*q + 11*q - 3*q**2 + 4*q**2. Determine l(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 2, g: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 7*s - 5*s - 16, -4*u - 4*s = 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*(-2)\/(-6))\/(2\/(-6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of l**4\/12 + 7*l**3\/2 - 7*l**2\/2 + 9*l. Let y be x(-20). Let m = y + 68. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -10\/19 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 12*u - 7. Suppose 9*m - 34 = 74. What is q(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/20 - (-230)\/650.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 12*m - 316. Calculate the lowest common multiple of 98 and b(31).\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 - 5*v. Let p(x) = -x**2 - 4*x. Let q = -48 + 44. Let m(f) = q*k(f) + 5*p(f). Let n(d) = 14*d**2. Calculate n(m(w)).\nAnswer: 126*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4149 + 4149.3. What is the closest to 2 in 57\/7, n, 2\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - j - 4*j + (-5*j - 3*j + 5*j)*(-2 - 4 + 3) - j - j + 3*j)*(j + 0*j + j).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -17*x**5\/20 + 2*x**3 + 14*x - 17. Let l(q) be the first derivative of p(q). What is the second derivative of l(z) wrt z?\nAnswer: -102*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 28098, 56550, 85000, 113448, 141894, 170338, 198780?\n\"Answer: -u**2 + 28455*u - 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6020.01047 + -6020. Round y to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 + 25?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16654 = -17*w + 23462 + 83938. List the prime factors of w.\nAnswer: 2, 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2. Let d(q) = -2*q - 2. Give d(n(s)).\nAnswer: 2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -3*g - 2*z, 4*g + 5*z = g + 42. Let y = 54 - g. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (2 - (2 - -6))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b + 18. Let a be u(17). Let r(p) = -32*p**2 + 4*p + 1. Let i(z) = -94*z**2 + 11*z + 3. Let f(g) = 6*i(g) - 17*r(g). What is f(a)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17787653 is divided by 165.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-1150))\/((-2)\/(-10)*1)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 0*m = r - 336, m = 4*r - 1404. Let x be (r\/228 - 2) + (-8)\/(-12). Which is bigger: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1989 is divided by 951.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, x: 3, s: 10, a: 5, t: 1}. What is prob of picking 1 t and 1 x?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -874 + 549. Let f = t + 533. What is the greatest common divisor of f and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ciiiniciiinciciccii. What is prob of picking 2 c?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -38345?\nAnswer: -38345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 63841*z**2 - 14*z - 63837*z**2 - 50*z + 35. Is h(29) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 1:24 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*f + 4*f + 0*f - 2*f.\nAnswer: 39*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x - 3. Let f be h(8). Let g(c) = -1981*c + 0 + 0 + 5. Let w be g(f). Round w to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -476644 by 11.\nAnswer: -476644\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 2)*2\/(-1). Suppose 3*d - k = d. Suppose 0*l = l - 5. What is the remainder when l is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 6*k. Let m(l) = 2574*l**2. What is m(a(d))?\nAnswer: 92664*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9.541812 decades?\nAnswer: 95.41812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -370164*j**2 - 3*j + 124197 wrt j.\nAnswer: -740328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 68684180627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 125519409 by -1020483.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1498, -2996, -4490, -5980?\nAnswer: -7466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 604012185?\nAnswer: 3, 5, 7, 19, 43, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264) - sqrt(264)*-2)\/sqrt(8) - sqrt(33))\/((sqrt(21)*-2)\/sqrt(7))*2 - ((sqrt(1584) + -5 + sqrt(1584) + 1 + sqrt(1584) + sqrt(1584))**2*-1 + -4).\nAnswer: -386*sqrt(11) + 25364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33*(-6)\/936 - (-41)\/164.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 145*p**3 - 4*p**2 - 7*p - 3. Let d(h) = 582*h**3 - 15*h**2 - 26*h - 11. What is -6*d(x) + 22*k(x)?\nAnswer: -302*x**3 + 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**4 + 3312*r**3 + 16632*r**2 + 23312*r + 9996 = 0.\nAnswer: -3, -1, 833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 7*v**3 - v**2 - 7*v + 1. Let p(f) = 3*f - 3. Let t be p(3). Let a(c) = -8*c**3 + 8*c - 1. Let g(o) = t*a(o) + 7*x(o). Calculate g(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 - 1.1. Let l = 7 - 5. Let b = 1.8 - l. Put b, f, -4 in decreasing order.\nAnswer: b, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-6)*r\/(r\/((r*r**5)\/r*r))*r*(r*(r*r**(-1\/5)*r)\/r)**46)**(-2\/9) assuming r is positive.\nAnswer: r**(-848\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/4)\/(-9))\/(2\/(-18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (4 + -2 + (0 - 5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 689140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*q**2 - 7*q**2 + 60*q - 21*q**2 - 60*q.\nAnswer: -13*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*k - 482*k = -136*k + 353*k + 34162 for k.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108867*-7.\nAnswer: -762069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15598125 is divided by 84.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k - 789 + 772 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*3 - (0 - 0). Suppose -36 = -z + 6. What is the greatest common divisor of c and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**5 + 2604883*f**4*h**2 - 88390*f**2*h**2 + 2*f**2*h - 14*f*h + 2*h**2 wrt f.\nAnswer: 120*f**2 + 62517192*f*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -10. Suppose r*v + 2*v = 16. Suppose 205 = v*m + 25. What is the remainder when m is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 2:51 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 11:07 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*q + q - 5*q)*(2 - 3 - 1) - q + 0 + 0)*(-6 - 4 + 3)*(4 - 2 - 4) + (-3*q + 5*q - 4*q)*(2 - 3 + 2) + 9*q - 3*q + 7*q.\nAnswer: 25*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2 = 2*o. Let r = o - -15. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 100 in 0.1, -0.4, -2\/3, -56\/19, -2\/27, -5\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1478*i + 1488*i - 50. Which is the second biggest value? (a) 1\/6 (b) i (c) 0.3 (d) -3.3 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -13424851.\nAnswer: -14\/13424851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, f: 1, n: 1}. What is prob of picking 1 n and 3 s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1054*k + 0 + 0.\nAnswer: -1054*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**4 - 2*d**4 + 6*d**4 - 27949*d**3 - 3*d + 27971*d**3 + 3*d**2 - d**2 to the form q*d**2 + x + r*d**3 + w*d + s*d**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/25*(-7 + 12). Put 0, -1, c in decreasing order.\nAnswer: c, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -10955?\nAnswer: -3286.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3514, -3564, -3652, -3784, -3966, -4204?\n\"Answer: -y**3 - 13*y**2 - 4*y - 3496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 + 5)*(3*u**2 - u**3 - 3*u**2 + (-4 + 2*u + 4)*(2 - 2 - u**2) + u**3 - 2*u + 2*u).\nAnswer: -24*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*v - 2*v**3 + 17*v)*(2*v - 5*v - v)*(0 + 0 - 2*v).\nAnswer: -16*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -37 + 17. Solve p*m + 6 = -9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/16 of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.84312 - -0.04212. Let t = 0.101 + r. What is t rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -6*h**2 + 24*h - 1. Let a be g(4). Let r(p) = -502*p + 16. What are the prime factors of r(a)?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 0.2 (c) 4 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 7*g + 6. Let w be m(-6). Let i = -13 + w. Is -2\/41 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a hour in minutes?\nAnswer: 870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/156 and 51\/260?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 e, and 1 p when three letters picked without replacement from {d: 3, e: 2, p: 7, b: 1, u: 1}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112366, -224733, -337100, -449467?\nAnswer: -561834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n - 21 + 46 = 0. What is the remainder when 70 is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392615.\nAnswer: 5, 17, 31, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 748\/89 or -28?\nAnswer: 748\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/25 - 3830\/25*-2. Let s = 305 - u. Put -3, s, -1\/8 in descending order.\nAnswer: -1\/8, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**2 - 148*p = 0. Calculate p.\nAnswer: 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -2416552?\nAnswer: -2416551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/42*-2*-7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 1. Let y be d(-2). Is (y\/12)\/(4\/(-48)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-442)\/(-51))\/(-26)*(1 - -5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 37.2 times -0.4\nAnswer: -14.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -14, 7, -8, 0, -2 in decreasing order.\nAnswer: 7, 0, -2, -3, -8, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 10 - 8)*(5*i**2 - 2*i**2 - i**2).\nAnswer: -22*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312 = -26*z + 33*z + 32*z. Let h = -7 + 13. Solve -h = z*g + 26 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 - 31. Suppose 5*y - 3 = -8, -5*o + y + 1146 = 0. Suppose -o = -2*t + 59. What is the greatest common factor of t and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -14.9938. Round y to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7000193 a multiple of 777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.71 - -0.21. Which is the third biggest value? (a) -0.3 (b) -3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500 is divided by 113?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -117764402*f**2*h**3*n + 357*f*h**3*n - 1589*f*h**3 + 21*f*h**2*n + f*h*n - h**3*n + h**2*n wrt f?\nAnswer: -235528804*h**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/40 and 17\/64910.\nAnswer: 259640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2669*y**2 - 2666*y**2 - 2668*y**2 + 10659*y**2 - 2659*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*w + 27 - 27 to q*w + y and give q.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -205 - -195. Let u(l) = -13*l - 61. What is the tens digit of u(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 17*w - 13*w - 4905, -w - 3*j + 1239 = 0. Suppose -222 = 4*a - w. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 22*y**2 - 19*y - 50. Does 16 divide o(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*d = z - 6, -3*z - 5*d = 26. Let o = 3 - z. What is the smallest common multiple of 10 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/((-1)\/(-1)))\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (149 - 71 + 189)*(-z + 4*z - 5*z)*(5*z**4 - 4 + 4).\nAnswer: -2670*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3448238941 to the power of 1\/6, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xwx when three letters picked without replacement from wjhxxxwx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 7*q**2 + 7*q + 9. Let c be k(-6). Suppose 5*o = 8 + 7. Suppose -o*w = -w - 10. Solve -c*u + 6 = u - 2*r, 0 = -w*u - 4*r + 27 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*k*o**2 - 142*k + 24820*o**5 + 3*o**3 + 129167*o wrt o?\nAnswer: 10*k + 496400*o**3 + 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6093227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4*f. Let w(k) = -218*k**2. Determine w(o(z)).\nAnswer: -3488*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - (17014\/(-18) - (-92)\/414) a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 426332447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -r**7\/14 + r**4\/24 + r**3\/3 - 42*r**2. Find the second derivative of z(m) wrt m.\nAnswer: -180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.052 - 4.952. Let r = 241.1 - q. Let s = 246.0121 - r. What is s rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -0.2, 2\/13, -533, 0.2 in descending order.\nAnswer: 4, 0.2, 2\/13, -0.2, -2, -533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/64 of a kilometer?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*j - 3*j. Suppose -4*n - 7 = -5*y, j*y + 0*n = -2*n + 10. Suppose v - 8 = -y*v. Solve -v*g = g + 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, s: 1, c: 1, k: 4, h: 3, o: 1}. What is prob of sequence kkus?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-30))\/((-19)\/(-22420)*-14*8\/14).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.153 - 0.553. Let d = 0.2 + -0.7. What is the nearest to 0.1 in i, d, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than or equal to -19\/762?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -43074582?\nAnswer: 215372910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vmi when three letters picked without replacement from {i: 3, q: 1, z: 3, v: 8, m: 1, k: 2}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}