diff --git "a/data/dm_maths/full_data/2172_11255.jsonl" "b/data/dm_maths/full_data/2172_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2172_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: ((-51)\/((-10251)\/4958))\/((-3)\/((-135)\/(-10)))\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-19) - ((-3174)\/(-1748) - -1).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -1121101000?\nAnswer: 1121100221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a kilometer in meters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405767698?\nAnswer: 2, 7, 71, 408217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 2*l + 4*l**2)*(89 - 53 - 67) + 9*l**2 + 9 - 9.\nAnswer: -115*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 348 - 353.04. What is f rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 278*f**4 + 1339*f**2\/2 - f + 6099. Find the second derivative of i(m) wrt m.\nAnswer: 6672*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1\/3, 455330.5 in increasing order.\nAnswer: -2, -1\/3, 455330.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*c + 418, -101 = -2*c - 3*x + 181. What is the highest common factor of 345 and c?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/132 and -43\/16.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = -5*j + 11*j. Let u = 47 - j. Suppose u*a - 3*s = 204, -4*a - 4*s = 18 - 194. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2534 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: 2 + -32 + (-16 + -2 - -12)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 1. What is the biggest value in 0.6, 4, 0.5, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83430 is divided by 907?\nAnswer: 893","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 930424 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/((r\/r**(3\/5))\/r)*r*r*(r**(-3\/2)\/r)\/r)**(-28))**(4\/33) assuming r is positive.\nAnswer: r**(-56\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0.4, -126, 0.1, -15?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hakayyvaa. Give prob of sequence vh.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 76875715 to the power of 1\/2, to the nearest integer?\nAnswer: 8768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180 = -26*b + 24 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n\/n**(-7)*n*n*n)\/((n\/n**(2\/67)*n)\/n) assuming n is positive.\nAnswer: n**(806\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 325152.2 millennia in years?\nAnswer: 325152200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*q - 5*q**3 - 40*q - 7*q**3 + q**3.\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.1234526 and -878.\nAnswer: -879.1234526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a, 3*x - 5*a + 4 = -2. Let z = 6 + x. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8540.62 millilitres?\nAnswer: 8.54062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -7*h + 144. Let z be u(19). Solve -78*l - z - 180*l**2 - 85 + 310*l + 48*l**3 - 4*l**4 = 0.\nAnswer: 1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (1 - (2 + 6) - -4 - 8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34059620\/27 < 1261467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 468039157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 89628*h - 107046 wrt h?\nAnswer: 89628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of r**4\/24 + 323*r**3\/12 + 795*r**2\/2 + 2514*r - 2. Factor d(u).\nAnswer: (u + 5)*(u + 318)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -542*q + 544*q - 29786. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 3*f - 5*c, 0 = -5*f + 5*c + 147 - 27. Suppose -6*l = -2*l - 20. Let n = l - 3. Solve -a + 5 = 0, 3*a - f = -y - n for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + 4*q - 3*q - q**5 + (0 + q**3 + 0)*(-q**2 - q**2 + 4*q**2) - 3*q**3 + 3*q**3 + 3*q**5.\nAnswer: 4*q**5 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 441878.\nAnswer: 2, 220939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (15\/(-9))\/((-4)\/12). Let r = 6963 + -940009\/135. Let f = r - -1223\/270. Is p smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - g + 27 = 7*x, 3*g = 3*x - 93. Is x equal to 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 222578 and 224620?\nAnswer: 2042","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/l**(3\/11)))\/((l*l**(2\/39)\/l*l)\/l*l) assuming l is positive.\nAnswer: l**(95\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 62273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**4 + 391*z**3 + 316920*z**2 + 55195456*z + 2974501376 = 0 for z.\nAnswer: -152, 847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19403.823 rounded to the nearest 10?\nAnswer: 19400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.61 less than 4.3?\nAnswer: 3.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxyyyyyyyyy. What is prob of sequence xy?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4c (base 14) to base 7.\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j + 17 - 11 + 73 + 15. What is the tens digit of f(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40797 divided by -4533?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of 4*j**6\/15 - 5*j**5\/4 - 11*j**3\/3 - 29*j**2\/2 - 9*j + 15. What is the second derivative of z(f) wrt f?\nAnswer: 96*f**2 - 150*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.4, -52, 126?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + 10. Let s = -46 - -30. Let u = q + s. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2147027916.\nAnswer: 2, 3, 11, 139, 117017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/50)\/(2 + (-1892)\/(-55)). Let z = c + 928\/4095. Put z, 5, 2\/17 in descending order.\nAnswer: 5, z, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1\/5))\/((l*l\/(l**(-22)*l*l))\/l)*(l**(-15))**(-50) assuming l is positive.\nAnswer: l**(3651\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/657 and -103\/6210.\nAnswer: 453330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 6:53 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -55078030 rounded to the nearest one hundred thousand?\nAnswer: -55100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, w: 11}. What is prob of picking 3 w?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*s**4 - 2 + s**3 - 2*s**4 - s**3 + (-s + s - 2*s**2)*(-2*s**2 + 3*s**2 + 0*s**2) + 1335*s**3 - 19*s**4 + 28 - 1335*s**3.\nAnswer: -25*s**4 + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + (1 - 1) - 19770. Let a = 8773 + d. Round a to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83.1 + -83. What is the nearest to z in -2\/3, 0, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + k**3 + 3 + (-3 - 4 + 5)*(0*k**3 + 2*k**3 - 3*k**3) + 16*k**3 + 42*k**3 - 21*k**3 to m*k + b + s*k**3 + u*k**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -200035?\nAnswer: 200043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 2*y + 9. Let h be z(-2). Which is the third biggest value? (a) 2 (b) -0.5 (c) h (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - 2*w**3 + (0*w - w - 3*w)*(3*w**2 + 3*w - 3*w) to b*w**2 + v*w**3 + s + q*w and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(0 - (-1)\/(-3)). Suppose -b = -i - 2, 5*i + 6 = 4*b - 3. Sort j, b, -4 in descending order.\nAnswer: j, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**5 - 8445*s**4 - 75939*s**3 - 126547*s**2 - 59052*s = 0 for s.\nAnswer: -8436, -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.6 * -75861.\nAnswer: -1107570.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-10))\/(2\/10). Suppose 0 = j*k - 8*k + 150. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.529414 hours to milliseconds.\nAnswer: 34305890.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 15, y: 5}. What is prob of picking 2 y?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -12. Suppose 5*o = 3*l - 14, -4*l + l - o + v = 0. Suppose -6 = -l*f + 3*w, -4*f - 2*w - 3*w = -53. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -471 + 1035. List the prime factors of m.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qllp when four letters picked without replacement from {p: 2, q: 9, l: 2}?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 t when two letters picked without replacement from yyeeyytytyyyyyyytyyy?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.95, -0.2, 0.5, -7, -0.4?\nAnswer: 0.95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*c - 192 + 75. Let j be 2\/5 - c*3\/(-15). Let b be (7 - 6) + -20*j. Which is smaller: -58 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78.02 - 68. Let m = h + 1.38. What is m rounded to 0 dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/2 (b) -4 (c) -7 (d) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**3\/27 + 5*i**2\/9 - 25*i\/9 - 12. Factor c(p).\nAnswer: -(p - 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 13 + 11\/2*b**2 + 32*b. What is the first derivative of q(u) wrt u?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 458376\/(-8435840) + (-2)\/(-32).\nAnswer: 2\/245","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331247 is divided by 2109.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*k - 16 - 96*k**4 - 116*k**4 - k**2 + 229*k**4 - 21*k to the form q + a*k**3 + w*k + y*k**2 + x*k**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -122 + 131. Let v(z) = -3*z**3 + 153*z**2 - 132*z - 9. Let g(o) = o**3 - 38*o**2 + 33*o + 2. Let q(d) = t*g(d) + 2*v(d). Solve q(x) = 0.\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -97 and -18.\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -195 + 100. Which is greater: i or -94?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 2*y**3\/3 + 4. Let u(r) = 6*r - 2. Let p(a) = -7*a + 3. Let q(d) = 2*p(d) + 3*u(d). Calculate q(v(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 15 = 3*u, -b - u = 4*b + 1. Let s(o) = -o**2 + 3 + 0 - 3. Calculate s(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h - 9. Let g be p(2). Let q be 14\/30 - (1\/(-3))\/g. Factor 0*b + 6\/5*b**4 + 0*b**2 - q*b**3 + 0.\nAnswer: 2*b**3*(3*b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(1700)*-2 + -3 - ((sqrt(85) + -6*(sqrt(85) + sqrt(85) + -2*sqrt(85)))\/sqrt(5) + sqrt(51)\/(sqrt(3)*-2*3)))**2.\nAnswer: -1435*sqrt(17) + 35007149\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9285626?\nAnswer: 2, 7, 29, 22871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 12 = -4*a, 2*i - 39*a = -42*a - 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(6048)*-5)\/(sqrt(42)\/((sqrt(84)*-2)\/sqrt(12))))**2.\nAnswer: 100800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3273000 to the nearest ten thousand.\nAnswer: 3270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 55932*r**2. Let c(i) = 14*i. Give n(c(q)).\nAnswer: 10962672*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zccz when four letters picked without replacement from {z: 6, c: 7, v: 2}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 2:14 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1348 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: Calculate ((34\/(-7480))\/(27\/48))\/(6\/15).\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 4:47 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 15*t**2 + 82*t - 76. Calculate g(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65 - 61. What is the smallest common multiple of 56 and 16*(3 + (-18)\/o + 2)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1758 = -3*i + g, i = 3*g - 375 + 961. List the prime factors of i.\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -6*d + 200. Let x be (-12)\/((-104)\/14 + 7). Let l be u(x). What is the highest common divisor of l and 608?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -21. Is m < -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 614364.9kg in micrograms?\nAnswer: 614364900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2133310616?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 9*f**2 + f + 1. Let k(r) = -42*r**2 - 5*r + 408. What is k(p) + 5*v(p)?\nAnswer: 3*p**2 + 413","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5)\/(-3))\/((-15)\/6))\/2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q + 17*q - 1816 = 30*q. Solve -34*b + 726 = q for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253905581 is divided by 71?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -334981 and 0.021?\nAnswer: -7034.601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 43777 to the power of 1\/2, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-6))\/(-2 - (-35)\/15). Suppose -2*x + 2122 = 2*p, 2*p - v*x - 2102 = -0*p. What are the prime factors of p?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*j - 222 = -2*n, 4*n = 3*j + 390. Calculate the highest common divisor of 318 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y**2 - 7*y. Let a(r) = 0*r**2 + 3*r**2 - 2*r + r**2 - 3*r**2. Let w(o) = -8*a(o) + 3*b(o). What is the second derivative of w(z) wrt z?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6090 divided by 145\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-148)\/(-3 + (-20)\/(-8)). Suppose -308 + p = y. Let t be 0 - 3 - (1 - 4). Sort y, t, -2, 1.\nAnswer: y, -2, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 6742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -a**4\/4 - 2*a**3 + 2*a**2 - 6*a - 14. What is the tens digit of m(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 20, -0.3, 2\/13, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 1 + (0 - 4 - -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(13) + sqrt(78)\/(sqrt(48)\/sqrt(8))))**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**0*a)\/(a\/a**(-1\/3)))\/(a**(-3)\/a**(-2\/5)))\/((a**(-2\/3))**(4\/7)*(a*(a*a**(2\/7))\/a)\/a**0) assuming a is positive.\nAnswer: a**(143\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 + 188*i + 199*i + 2 - 16 - 139*i)*(i**4 + i**4 - 3*i**4).\nAnswer: -248*i**5 + 48*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24824 or 24559?\nAnswer: 24559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 550951 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4329 - -1.6?\nAnswer: 2.0329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -336 - -343. Let z be (0 - -6 - l)*-53. Which is smaller: -2\/15 or z?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 1:46 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**4 - 282204*m**3 - 846650*m**2 + 2822100*m = 0.\nAnswer: -5, 0, 2, 141105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2 = -3*r + 19, -4*r + 16 = 0. Let u be -12*((-36)\/54)\/(1 + p). Solve 4*o - u*o = -7*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x - 1. Let g(v) = -v**3 + 2*v**2 + 2. Let m be g(2). Suppose n = 5*y - 9, m*y + 0*y + n = 5. Suppose -i - 13 = 3*t, 2*i + 2 = -0*i + y*t. Give s(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 87157785 by 13.\nAnswer: 6704445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 425*p - 303 + 3780 - 4 + 3327 = 0 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w + 7. Let i(d) = -21*d + 166. Let l be i(8). Calculate b(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 5*h + 5*r - 5255, 3*h = -2*r + 3152. Does 25 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 1, 0.1, -0.1, -0.2, 0.62.\nAnswer: -0.2, -1\/7, -0.1, 0.1, 0.62, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.606130465 rounded to 3 dps?\nAnswer: -1.606","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v = -4*r + 10*v + 614405, 5*v + 153595 = r. What is r rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 7:18 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5518 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 1. Let o be q(3). Let u be ((-1)\/3)\/(6\/(-45)). Is u < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 73, 59, 21, -53, -175?\n\"Answer: -2*v**3 + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-495*p - 294*p - 128*p)*(0 + 2 - 4).\nAnswer: 1834*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8501536 is divided by 68?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/24 and -7\/60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 3, 5, 391 in descending order.\nAnswer: 391, 13, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/(-30)*12\/9. Let h = 0.43 + -4.43. Which is the second smallest value? (a) 4 (b) h (c) o (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -113. Let i = 741 - g. Suppose 0 = 3*w + 4*w - i. What is the remainder when w is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 18*v**2 - 2*v - 29. Let u be h(-18). Let x(d) = d**2 - 7*d - 2. Let w be x(u). Is ((-9)\/w + -4)\/(1\/252) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*t - 8, 2*t = -0*g - g - 8. Solve 6*j = -2*v - 2 - 14, -5*v - 4*j - 29 = g for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 8. Let j = 225.626 - 222.626025. Let k = j - x. What is k rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**2 + 6*b - 8. Let d(x) = x**2 - x + 1. Let m(y) = -3*d(y) - t(y). Calculate m(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94 + 2 - (-3032 - -3144)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-175)\/(-10)*19\/(9310\/(-1260)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.14, 3, -1\/15, -39.\nAnswer: -39, -0.14, -1\/15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -594496510 and -0.09.\nAnswer: -594496510.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3939*a**3 + 5*a**2 - 3335. Let q(r) = 1969*r**3 - 3*r**2 + 1670. Let m(u) = 5*q(u) + 3*y(u). What is the derivative of m(k) wrt k?\nAnswer: -5916*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 i when two letters picked without replacement from uuuuiguiuuiuuggig?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 41685.21t?\nAnswer: 41685210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/30 and -23\/654.\nAnswer: 3270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 14018490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**3 + 1102*w**2 + 4435*w + 2775. Give u(555).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/3))**7*(k*k**(1\/2))\/(k\/k**(2\/19)) assuming k is positive.\nAnswer: k**(-463\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -431965, -863940, -1295917, -1727896, -2159877, -2591860, -3023845?\n\"Answer: -w**2 - 431972*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1\/5)*u*u*u*u**5*u*u**17)\/((u\/(u\/(u\/(u**1\/u))*u)*u)\/(u\/(u*(u**4*u)\/u)))**(-24) assuming u is positive.\nAnswer: u**(736\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8880, 2, -697, -1.\nAnswer: -8880, -697, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1929221, -0.5 in descending order.\nAnswer: 1929221, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 954?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 483097 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68814 is divided by 155?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2347.83349 rounded to the nearest 100?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1443004212 (base 5) to base 4.\nAnswer: -32302023211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**2\/7 - 36*p\/7 - 38\/7 = 0.\nAnswer: -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 20 = -z, 13*z + 18 + 298 = 12*z - 52*t for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 640*m**3 - 385*m**3 + 2223*m**3 + 1782*m**3 - 108*m**3.\nAnswer: 4152*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -6199802.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3 + 10\/(-35))\/(3639\/(-8491))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -18*h + 40. Determine t(10).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k. Let z(p) = -3*p. Let c(r) = -5*a(r) - 6*z(r). Let f(u) be the first derivative of u**2\/2 - 3. Determine f(c(q)).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 701379.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**4\/9 - 49*q**3\/9 - 214*q**2\/3 + 30560*q\/9 + 380800\/9 = 0.\nAnswer: -17, -14, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48 + 51. Which is the closest to -0.7? (a) 1 (b) -3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -14. Suppose 2*i = -2*a + 14 - 0, 0 = 5*a + i - 31. Suppose a*h = -3*f + h + 148, -20 = 5*h. What is the greatest common factor of c and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2539975 times -2?\nAnswer: -0.507995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 6:00 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1299 and 208958439.\nAnswer: 1299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -20*(14\/(-4) + 2). Let m(s) = s**3 - 4*s**2 + s - 7. Let q be m(6). Let t = q + -51. Calculate the highest common divisor of t and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 6*r + 1. Suppose 3*u + 31 = -4*j, u - 2 = 2*j + 1. Let w(z) = -3*z - 1 + 2*z - 4*z. Determine j*w(f) - 3*i(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**4 - k**2 - k - 10. Let y(q) = -1720*q**4 - q**2 - 88*q - 5. Let d(j) = c(j) - y(j). Find the second derivative of d(w) wrt w.\nAnswer: 20652*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-7\/3))**(1\/18)\/(j*(j*j\/(j*j**(-2\/17)\/j)*j)\/j*j*j*j**(7\/3)) assuming j is positive.\nAnswer: j**(-6959\/918)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5573, 5539, 5475, 5381, 5257?\n\"Answer: -15*u**2 + 11*u + 5577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 13\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaataaaaataata. Give prob of picking 1 t and 3 a.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2. Let p(g) = 414 - 827 + 2*g + 413. Let f(j) = -5*j**2 - 13*j. Let n(x) = f(x) + 5*p(x). Calculate n(i(b)).\nAnswer: -20*b**4 - 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*r, 4*h - r - 141 = -177 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -6 + (-7 - -10) - -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/((-54)\/(-972))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/147 + (-18)\/(-189). Solve -m + 2*r - 10 = m, -2*m - 5*r + 18 = b for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006590343344 to 7 dps.\nAnswer: 0.0065903","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/120*24\/(-3).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32211590 is divided by 566?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**4\/8 - 583*s**3 + 1659473*s**2\/8 - 822743*s\/4 - 413703 = 0. What is s?\nAnswer: -1, 2, 387, 4276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nngcnnngdddnndcccnd. Give prob of picking 1 d and 2 g.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-15) + 6\/15. Suppose k = -2*u + 7*u + 5. Sort u, -3, -5.\nAnswer: -5, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - 416*v + 418*v as t*v + z and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 336142 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 1:40 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in 2\/5, 1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 13*k - 27. Let x(f) = 7*f - 15. Let d(o) = 6*j(o) - 11*x(o). Let q(h) = -10*h - 26. What is 52*d(y) + 6*q(y)?\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a millennium in decades?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-35) + 1006\/7. Suppose -5*t = 3*t - y. What is the tens digit of 2*24\/10*120\/t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 6*m - 5. Let s be h(8). Suppose -o - s = 2*g, 0*g = 3*g - 3*o + 60. Let l = -2 - g. List the prime factors of l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 87*j**3 + 7*j**2 + 13*j. Let l(p) = 29*p**3 + 2*p**2 + 4*p. Calculate 2*f(q) - 7*l(q).\nAnswer: -29*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21610 (base 7) to base 13.\nAnswer: -262c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 58*1 - (-2 + 0). Let s = g - 41. List the prime factors of s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 4*g - 3*g - 8, -5*g - 2*l + 64 = 0. Suppose -d + 3 = -2*h, 4*h + 7*d - g = 3*d. Solve 4*w + h*x = x - 19, 5*w + x + 26 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/3*2)\/(2\/1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**0*x**26 assuming x is positive.\nAnswer: x**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-3))\/((-2)\/(-18)). Let k = -1 + c. Let b be (1 - 0) + 7 + 0. Solve 6*g - k*g + b = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 20. Suppose 0 = -5*c - 20, r - c = -y*c. Let s(k) = -81*k - 1. Let x be s(-1). What is the greatest common divisor of x and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 2*a + 3. Let r = -8 - -5. Give f(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3872 + 7*h**2 - 3872.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 - -28. Let t = 13 + x. Suppose -t*m + 90 = -m. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 18*l**2 + 21*l + 53. What is t(-17)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6996949\/13940 + 103\/820. Let b = h + -502. Put 0.08, -4, b in ascending order.\nAnswer: -4, b, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 720041763?\nAnswer: 3, 7, 113, 303431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 500544631 to the nearest integer?\nAnswer: 794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 9*z**3 - 5*z**2 - 5*z - 5. Let n(t) = 45*t**3 - 24*t**2 - 24*t - 24. Determine 24*l(o) - 5*n(o).\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*z = -2*h - 398, -h = -32222*z + 32226*z - 73 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17161060 divided by -1716106?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 31*k**2 + 61*k + 48. Determine w(-29).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 10*n**2 - 879*n - 11673. Calculate o(100).\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 181217593 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 231608 and 408?\nAnswer: 694824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21\/4*i**3 + 9*i**2 - 9\/4*i - 3\/2.\nAnswer: -3*(i - 1)**2*(7*i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.69612752 rounded to one decimal place?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/27 - 8\/(-6). Solve 0 = -n - 2 + w, -2*n - 2 = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 4 = -a, -35*f - 3*a = -36*f - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5621641*n**3\/2 + 3564115652*n**2 + 6012854*n + 2536.\nAnswer: -(n - 1268)*(2371*n + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) - -1*sqrt(1408)) + sqrt(110)\/(sqrt(15)\/sqrt(3)))\/((sqrt(99) + (sqrt(99) - (6*(sqrt(99) + sqrt(99)*-2 + sqrt(99)) - sqrt(99))))*1).\nAnswer: 10*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 2)*(7*n + n + n)*(-n**3 + 0*n**3 + 4*n**3) - 20*n + n**4 + 20*n in the form o*n**2 + v*n**4 + d*n**3 + w*n + k and give v.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 505 + -483. Suppose s*c - 78 = 32. Solve 0 = 4*u + 5*x - x - 4, -2*x - 1 = c*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u - 2*u + u)*(0*u + 0*u + 4*u + 2*u + 6*u - 29*u + (0*u + 5*u - 2*u)*(1 + 0 + 0)) as x*u**2 + d + g*u and give x.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -5*r**4 + 50925*r**3 - 152745*r**2 + 152735*r - 50910 = 0?\nAnswer: 1, 10182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 198851987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 5, -7, -5 in decreasing order.\nAnswer: 5, 3, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = c - 3, -51*x + 6 = -49*x + 2*c. Suppose -4*b = -7 - 13. Suppose 0 = -4*m + m - 2*a + 12, 13 = b*m + a. Solve m*s = -x*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 2*a + 12. Find the second derivative of 3*p**a - 9*p**3 + 5*p + p wrt p.\nAnswer: -36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and -42849455.\nAnswer: -42849460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, -3\/2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 674 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*i**2 + 69*i**2 + 74*i**2 + 4*i - 4*i.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 183 + -389 + (-3 - -105)\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 473 - 446. Suppose 0 = 5*s - m - 103. Calculate the remainder when s is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16771 or -16772?\nAnswer: -16772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -466*j + 27664 = 1142*j + 3544 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006622 rounded to 7 dps?\nAnswer: 0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 - (6 + 10 + -9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2102881201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 11*w**2. Let p(n) be the third derivative of -9*n**5\/5 + n**2 - 6*n + 51. Calculate f(p(q)).\nAnswer: 128304*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5986 at least as big as 5985?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6.5, 2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -2*s + 5\/3*s**4 + 0 + 0*s**3 - 8*s**2. Find the first derivative of k(t) wrt t.\nAnswer: 40*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.15 + 0.05. Let u = s + -2.2. Let m = 9 - u. Which is the third biggest value? (a) m (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -12 + (8 - (0 - 2364))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = -71 + 296. Suppose 5*t + 6*f + 30 = 5*f, s = -4*t - f. What is the closest to 5 in t, 2\/3, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250511 = 129*t - 254252 for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 42*3 - -3 - 3. Let j be (27\/i)\/(8\/14). Which is bigger: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 33*y**4 - 90*y**3 - 241*y**2 + 11912079.\nAnswer: 132*y**3 - 270*y**2 - 482*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39317, 78394, 117481, 156578, 195685, 234802?\nAnswer: 273929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2. Let t(s) = s - 207. Determine t(z(i)).\nAnswer: -i**2 - 207","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/23, 2\/9, 24, 20, -0.4, -1.\nAnswer: -1, -0.4, 2\/23, 2\/9, 20, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 572 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c**2 + 5*c**2 - 2*c**2)*(-3 - 2*c + 3) + (-2*c**2 + 0 + 0)*(11*c - 6*c + 16*c) - 2*c**3 + 0*c**3 + 0*c**3.\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 6*t + 4. Let d(g) = -2*g**t - 21*g - 14*g**2 + 22*g. What is d(1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -21*x + 4*x. Solve r = -r + x for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46000 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, -4, -5, 0 in descending order.\nAnswer: 0, -4, -5, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/4*4\/(-6). Suppose 10 = -3*q + 4, 0 = 4*u + 4*q + 4. Let x = y + u. Which is smaller: 2\/3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (3*sqrt(44)\/sqrt(2))\/(sqrt(11) + 1*sqrt(539)))**2.\nAnswer: -9*sqrt(2)\/4 + 297\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -60*j**3 - j**2 + 2. Let f be r(-1). Suppose -4 = f*t - 63*t. Suppose 5*a - t*o = 428, 0 = 2*a + 3*o - 50 - 125. Round a to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 952?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/6442986 and -37\/4762.\nAnswer: 6442986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 11:44 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 6 = 5*h. Suppose -h*s - 6 = 0, -g + 3 = s + s. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -3*m**4\/4 + 3*m**2\/2 - 1. Factor b(c).\nAnswer: -3*c*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -775*y + 21064 - 30719 = 36845 for y.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -r. Factor 0*n**2 + r + 0 - n**2 + 1.\nAnswer: -(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*t + 24. Let n(w) = -w - 5 + 1 + 7. What is the units digit of n(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(20) + -3 + 1)*1)**2 - ((1*sqrt(80) + 0 + sqrt(80))*-4 + 0).\nAnswer: 16*sqrt(5) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -2.3. Let x = b + -0.5. Let p be (3\/(-4))\/(15\/12). What is the nearest to -1 in p, x, 1\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 + -6)*(-7)\/(158 - 4). Factor 0 + 4\/11*x + r*x**2.\nAnswer: 2*x*(3*x + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**2\/7 + 46*g\/7 + 100\/7 = 0.\nAnswer: -2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 92*f**2 - 2?\nAnswer: 184*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5978, 5984, 5988, 5990?\nAnswer: 5990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*p**2 + 54*p**2 + 0 + 0.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181056*n**2 + 362080*n**2 - 181022*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4\/13)*c*c*c**27*c)\/(c**(2\/11)\/c)**9 assuming c is positive.\nAnswer: c**(5299\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1771, -13832, -46595, -110410, -215627, -372596, -591667, -883190?\nAnswer: -1257515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 15*j**2 + 2*j. Calculate t(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 26*c**2 + 46*c**2 - 3 - 2*c + 64*c**2 - 5*c**2.\nAnswer: 79*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p = -32 + 100. Let m be ((-5536)\/(-172))\/8 + p. Let g = 1\/29 + 55\/87. Is m > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 - 10*f - 99 - 4*f**2 - 2*f**3 + 7*f**2 + 11*f**2 - 1.\nAnswer: -2*(f - 5)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*d**4 + d**4 - 2*d**2 + 94*d + 132*d - 226*d + 3 - 4*d**3 as n + x*d**2 + g*d**4 + i*d + k*d**3 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjnzzja. Give prob of picking 1 n and 1 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35\/6*f**3 + 91\/3*f**2 + 0 + 1\/6*f**4 + 116\/3*f.\nAnswer: f*(f + 2)*(f + 4)*(f + 29)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 165.3716658 to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -5*z - 3*m - m, 5*m - 14 = z. Suppose -j - z = -3*j. Find the second derivative of -u - u**3 + j*u**3 - u wrt u.\nAnswer: 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-81)\/(-6) + -14)\/((-10)\/(-8)). Put 1\/5, 0.005, u in descending order.\nAnswer: 1\/5, 0.005, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6828?\nAnswer: 2, 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from iqikccqkk.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7345876 rounded to the nearest ten thousand?\nAnswer: -7350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*l + l. What is the remainder when 4\/(-6) - (-178)\/6 is divided by 371\/35 - 3\/l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 16*y - 1. Suppose -16 = 8*i - 128. Suppose -5*f - i = -4. Calculate r(f).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dw when two letters picked without replacement from hdvhsvwwwvy.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 3 (c) -0.494 (d) 0.1 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4647829157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3074*f + 69 wrt f?\nAnswer: 3074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127 + 302 = -7*z + 46*z for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 84 = -43*f + 12*f. Solve 0 = f*s - 0*c - 3*c + 14, 6 = s + 5*c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -133524406 and 41030.\nAnswer: -133483376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 352 + -354.14. What is u rounded to one dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*x - 184*x - 66*x - 101*x - 368*x.\nAnswer: -665*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 j, and 1 k when four letters picked without replacement from {c: 1, j: 7, k: 6}?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -416\/7 - -59. Suppose -2*o + 5 = u - 6, 5 = o. Which is the nearest to 0? (a) 5 (b) u (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -r + 16. Suppose o = 5*u + 22 - 1, 2*o + 2*u - 6 = 0. Let m(q) = 7*q - 7. Let l(h) = -13*h + 13. Determine o*l(n) + r*m(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1981263*a**6 + 69*a**2 - 10*a + 3206.\nAnswer: -237751560*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 128*a**2 - 120*a - 853. What is n(127)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 15 = -29. Let z(g) = 64*g**2 + 1. Let q = -4 + 5. What is the remainder when z(q) is divided by m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20846218 at least -20846218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3091661\/198 - -15615. What is the common denominator of s and -119\/198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7771.00011948 + -7771. What is d rounded to six dps?\nAnswer: 0.000119","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 4*n + 9*n + 14 - n**2 - 2*n. Let u be g(11). What is the third derivative of 2*h**2 + 3*h**3 - 7*h**3 + 2*h**u + h**3 wrt h?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2))\/(-1)*729\/81?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 12 + 4 = r, r + s - 1 = 0. Suppose -3*x + 11 = 2. Let f(h) = -3 + 0*h - x*h - 2. Calculate f(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 16*w - 11. What is i(-15)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*g + 7319 = 132*g - 1745. Solve 0 = -5*w + 73 - g for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 2443965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d**2 - 237*d = 0. Calculate d.\nAnswer: 0, 237\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 + k + 1. Let c be t(-1). What are the prime factors of (11\/(-2))\/(c\/(-4))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -72 + (-25 - -72 - 30)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*g**3*s**2 + 7*g**3*s + 14*g**3 - 5*g*s**2 - 16 wrt s?\nAnswer: -6*g**3*s + 7*g**3 - 10*g*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1478 and -0.323.\nAnswer: 477.394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddd when four letters picked without replacement from {d: 4, y: 15}?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1302 or 1320?\nAnswer: 1302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -w**4\/12 - 11*w**2 - 885*w. Calculate j(0).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2676674.\nAnswer: 2, 7, 11, 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + -34. Let n be 8 - (306\/42 - -1). Which is the smallest value? (a) 2 (b) -4 (c) w (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 7 = l - 23, -3*k + 2 = -l for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6032\/(-96))\/(-13) - (-2)\/12. Suppose 0 = -3*b + 4 + 2. Solve 0*q + 4*q + 2 = -m, l*q = -b*m - 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56587245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -h**5\/20 - 25*h**4\/4 - 141*h**3\/2 + 896*h**2. Factor g(x).\nAnswer: -3*(x + 3)*(x + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 402, 1087, 2228, 3825?\nAnswer: 5878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 9046*b**2 - 3*b - 3. Is v(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 564 and 384605700.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50*b - 59*b - 13*b + 2196 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 642956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((2 + sqrt(26)\/sqrt(2) + sqrt(13) - (sqrt(13) + (sqrt(13) + 1 - sqrt(13)) + 2)) + 4).\nAnswer: 15 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1235, 1152, 1083, 1034, 1011, 1020, 1067, 1158?\nAnswer: 1299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7 - 2) + (3 - 3). Suppose -3*q - 3 = -0. Let g be (j\/(-10))\/(2 + q). Which is the nearest to g? (a) -2 (b) 0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15531 is divided by 361.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2756472223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -114 - -107. Sort 2, n, 0, -0.1.\nAnswer: n, -0.1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*p - 30 = 0, -1 = 4*p + 19. Suppose s*r + 16 = -3*r. Find the common denominator of r and -117\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, m: 3, l: 2}. Give prob of picking 1 m and 1 l.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -5*m + 88. Suppose -6020 = -4*l - 0*l. Suppose -l = -4*h + 3*w, -3*h + w = -2*w - 1131. What is the greatest common factor of m and h?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -151*i**3 - 12*i**2 - 3*i + 6. Let v(x) = 303*x**3 + 30*x**2 + 7*x - 15. Determine -5*r(m) - 2*v(m).\nAnswer: 149*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 2. Let f(n) = 1876 + n + n - 1877. Let b(t) = -6 + 2 + 2 - 3*t + 4. Give z*f(k) - 3*b(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 288*u - 259*u - 58232. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 3*a = 9. What is the closest to -0.2 in a, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-10) + 2 + 1 + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 5*r - 13, -k - 3*r + 3 = 2*k. Calculate the least common multiple of 18 and 6 + 4\/k + 3.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1283 + 1285.268. Let y = j - 0.268. What is the closest to -1\/2 in -0.2, 1\/5, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kokkokkkko. What is prob of sequence kk?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 50\/50*2\/(-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 2 - 2)*(2*k**2 - 2*k**2 + k**3) + (2 + 0 - 3)*(-2 + k**2 + 2)*(9281*k - 238*k**2 - 9281*k).\nAnswer: 239*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.39, 218\/3, -3.9, 25?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4041217 millilitres to litres.\nAnswer: 0.0004041217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*c**2*v**2 - 45555*c**2*v + 3018*c*v**2 - 38*c*v wrt c.\nAnswer: 16*v**2 - 91110*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -22*a + 535. Determine c(24).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 388501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azaazacazazcc. Give prob of sequence zzz.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p + 8*p - 75 - 16*p**2 + 134 - 59.\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 u when two letters picked without replacement from {u: 6, y: 2, o: 5}?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2634 - -2638. Suppose -1 = 8*o + 7. Let r be (-1)\/2*(1 + o). Solve r = 4*i + d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1441, 1439, 1435, 1429, 1421, 1411, 1399?\nAnswer: 1385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 37*t. Let g(j) = -22*j. What is v(g(b))?\nAnswer: -814*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 0*z + 1\/15*z**5 + 0 - 8*z**2 + 0*z**3 + 17\/24*z**4. Find the second derivative of d(k) wrt k.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -242 + 255. What is the remainder when 230 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 99*h**2. Let b(l) = -3*l. Give b(t(a)).\nAnswer: -297*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64170644?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -726*c + 288752. What is x(398)?\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 825 is divided by 337.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 9779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in 0.315, -2, 0.1?\nAnswer: 0.315","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 488507 and 241.\nAnswer: 488507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 i when two letters picked without replacement from diiqm?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319643168 is divided by 3594?\nAnswer: 3590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + -1*-1*sqrt(143) + sqrt(143) - sqrt(143)) + -4*(1*sqrt(143) - sqrt(143)))\/(sqrt(176)*1 - (sqrt(275)*1 - sqrt(275))).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -661 + 7125*g**2 + 1336 - 3453*g**5 - 675 wrt g.\nAnswer: -207180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 0.5 (b) -4 (c) 0.1 (d) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -453.4 + -107.6. Let i = -566 - h. Which is the nearest to -0.1? (a) -4.7 (b) 4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 12, -3*w - 3*r = -w + 12. Let j be (2 - 0) + 3\/3. Let b = j - 8. Sort w, b, -1 in decreasing order.\nAnswer: w, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(11*(-8)\/132). Let u(h) = h**3 + 10*h**2 + 8*h - 7. Give u(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 11:02 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1148877 is divided by 95.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000398 rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1238, -2514, -3942, -5600, -7566, -9918?\nAnswer: -12734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6540 is divided by 964.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*r - 53*r + 15 = 0. Suppose -r*n = -4*k + 5 + 1, -5*k + 25 = 5*n. Suppose 0 = n*y + 7*y - 18. What is the highest common divisor of 26 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -2. Let q = 121908\/5 - 24496. Let x = q + 115. What is the nearest to n in 4, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2 - 2*a. Let x be b(2). Suppose 15 = x*u - u + 3*t, -5*t = -5*u + 25. Suppose u*k - k - 56 = 0. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 3:30 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 2. Let w = -20 - -18. Which is the nearest to m? (a) -4 (b) w (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/3)\/h**(4\/11) assuming h is positive.\nAnswer: h**(10\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 + -1)*4\/(-12). Let t(d) = d**2 - d - 10. Let j be t(7). Suppose 4*u = -12 + j. What is the nearest to f in -2\/7, -0.3, u?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -100*j*k**4 + 5*j*k**3 - 2*j*u + j + 21*k*u - u + 30825 wrt k.\nAnswer: -400*j*k**3 + 15*j*k**2 + 21*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/25)*j**(1\/6)*(j**0*j*j)**(1\/10))\/((j\/(j**6*j))\/(j**(-8)\/j*j))**38 assuming j is positive.\nAnswer: j**(-11357\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = z - 4, 5762*z - 5761*z + 2*p - 3 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -2754496?\nAnswer: -5\/2754496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 3:16 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7292*f - 2241*f**3 + 2258*f**3 - 1107*f.\nAnswer: 17*f**3 - 8399*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - -1*(1*sqrt(76) + sqrt(76)) - sqrt(76) - sqrt(76))\/(sqrt(40)\/(sqrt(40)\/sqrt(4))).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 179*w**5 - 2*w**4 - 2*w**2 - 190 wrt w.\nAnswer: 10740*w**2 - 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 2 = -5*b + 14, 0 = 5*b + 4*r - 36 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 5*z - 180. Let m = -3 + 7. What is the highest common factor of z and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ztztwwwwwwtgwwwwwwt. Give prob of sequence twt.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9458, 10406, 11966, 14120, 16850?\nAnswer: 20138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-15) - 36\/(-10). Suppose 5*o = -3*j + 264, 0 = -l*j + o - 2*o + 369. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n - 1. Let g be w(5). Put -5, -4, g in decreasing order.\nAnswer: g, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 3*w - 2*r = -8, 0 = -w - 2*r + 9 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 11:05 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 3. Let n(i) = i**2 + i - 1. Let c be (-1 + -2 - -2) + 2. Let k(o) = -o**3 - o**2 - 3*o + 6. Let l(y) = c*k(y) + z*n(y). Give l(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-46)\/11 + 8\/2. Let z = 1 - 0.5. Which is the biggest value? (a) -1\/2 (b) z (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 11*y**2 + 5*y. Let f(x) = -22*x**2 - 12*x. Let r(d) = 2*f(d) + 5*j(d). Suppose 2*m - m + 1 = 0. What is the smallest common multiple of 20 and r(m)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/17462659 - -59704115151341\/2794025440. Let r = 21368 - i. Find the common denominator of r and 4 + (-34)\/9 + 1885\/90.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 7*p**2. Let i(w) be the third derivative of w**7\/2520 + 5*w**4\/6 + 17*w**2. Let g(j) be the second derivative of i(j). Determine l(g(n)).\nAnswer: 7*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13030402 - -1054?\nAnswer: 13031500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -2*y - 3, 4*y - 22 + 49 = -5*r for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 16. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 68\/10 - (-1)\/5. Suppose -z*x - 14 = -9*x. Suppose 0 = 3*k - 5*t - 43, x*k - 3*k + 4*t - 4 = 0. Calculate the remainder when k is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + m**2 - 18*m + 12. Let r be d(4). Let o be (4 - 1) + (-30)\/r. Solve 3\/4*s**2 + o*s + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c*g*z + c*g - 2*c + 6*g - z wrt g.\nAnswer: -2*c*z + c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + sqrt(171) + sqrt(171) + (4*sqrt(171))**2 + 6*(4 + sqrt(171))).\nAnswer: -5510 - 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - (-11 + -29 + 20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*t - 881*t**3 + 27*t - 28*t + 879*t**3 + 25 as m + g*t + f*t**2 + i*t**3 and give g.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57\/266)\/((-6)\/8).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 7:48 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2834\/3 - 944. What is the second biggest value in -0.038, o, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130b (base 14) in base 11?\nAnswer: 256a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 33890298200.88 from 0.074.\nAnswer: -33890298200.806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/9)*a)\/((a\/(a\/a**(1\/4)))\/a))\/(a**(-3\/4)\/(a**(-8\/5)*a)) assuming a is positive.\nAnswer: a**(151\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29843 - 20797. What are the prime factors of x?\nAnswer: 2, 4523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14960744 to the power of 1\/3, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*c + g = 38*c + 262, -2*g = -2. Calculate the remainder when 694 is divided by c.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -16*o**2 - 1629*o - 9802. Determine w(-6).\nAnswer: -604","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.09 (b) 1 (c) -0.3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11578, 23156, 34734?\nAnswer: 46312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25539.\nAnswer: 3, 8513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -148173403, -296346812, -444520221?\n\"Answer: -148173409*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355*i - 4 = 353*i. Suppose -3*y - 23 = -4*f, f - 4*y = 2*f - 1. Factor 0 - 2\/3*m**3 + 0*m**i + 0*m - 4\/3*m**4 - 2\/3*m**f.\nAnswer: -2*m**3*(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 7. Let h(b) = -9*b + 12. Let v(c) = 6*c - 8. Let k(i) = 5*h(i) + 8*v(i). What is the units digit of k(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3087587.\nAnswer: 41, 75307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -7*b**3 + 8*b + 3. Let w(t) be the first derivative of 2*t**4 - 9*t**2\/2 - 4*t - 105. Determine -6*l(p) - 5*w(p).\nAnswer: 2*p**3 - 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 5*g = 3*l - 7 + 26, 5*l = -751*g + 754*g - 9 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 18595712 divided by 2\nAnswer: 9297856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 18\/5 of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(5\/6)*k*k*k\/(k**(1\/5)\/k*k))**(-47) assuming k is positive.\nAnswer: k**(-5123\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001053816 to 5 dps.\nAnswer: -0.00105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 747*a**3 + a + 17190 wrt a?\nAnswer: 2241*a**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1*(5 + sqrt(28) + 0))**2 - (-1*(sqrt(21) - sqrt(84)))\/((-1*sqrt(3) - sqrt(3))*-4 - sqrt(3)).\nAnswer: 111*sqrt(7)\/7 + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20177 + 1?\nAnswer: -20176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -1 + f + 0 + 0. Suppose -2*x + 3*s + 10 = 0, 6*x - 3*x - 2 = -2*s. Suppose 0*h - x*h = k + 12, k + 2 = 0. Let p(n) = -3*n + 2. Give h*z(i) - 2*p(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2 - 11*m - 4. Let x be t(6). Let r(n) = 54 - x*n**2 - 54. Let z(d) be the second derivative of d**4\/12 - d. Determine r(z(b)).\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 3*f**2 - 5*f + 3. Let t(m) = -2*m**2 - 2*m + 1. Give 2*s(o) - 5*t(o).\nAnswer: -2*o**3 + 4*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 725 = -3*n - 1222. Let z be (-1)\/(-5) - n\/55. Suppose -q + z = -0*q. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r = 25452 - 25375 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**4 + 3231504*p**3 - 3231501*p**2 = 0. What is p?\nAnswer: 0, 1, 1077167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -32 + 4*d + 3*d - 3*d. Let b = -988 - -1002. Let t be o(b). What is the greatest common divisor of 12 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -7*r + 4. Calculate z(5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13)\/2 - 3\/(-6). Let g(s) = s**3 + 5*s**2 - 8*s - 2. Let m be g(p). Let u = -18 + m. Is -8 != u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, z: 1, k: 4, s: 5}. What is prob of picking 1 z, 1 h, and 2 s?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 458024?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/((-4)\/(-1))*30\/900.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -20*p**3 - 2*p**2 + 2*p. Let z be q(1). Let d = 32 + z. Let r(o) = 7 + 1 - d*o + 3*o**2 - 20 + o**2. Let b(c) = -c - 1. Give 12*b(x) - r(x).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 8:35 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/24)\/(1 + -4)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*j**5\/3 + 1151*j**4\/3 + 10447*j**3\/3 - 9068*j**2\/3 - 12716*j + 3312 = 0.\nAnswer: -46, -12, -9\/5, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**3 - k**2 + 9*k - 2. Let x(q) = q**5 - 376*q**4 + 752*q**3 - 373*q**2 - 9*q + 2. Let r(w) = 2*l(w) + 2*x(w). Determine j, given that r(j) = 0.\nAnswer: 0, 1, 374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**3 + 5*v**2 + 6*v - 6. Let z(o) = -7*o**2 - 11*o + 44 - 7*o**3 - 33 - 2*o**2. Calculate 11*h(c) + 6*z(c).\nAnswer: 2*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5158 divide 115147192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2504 - 2480. What is the remainder when m is divided by 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 10*h - 10. Let d be k(10). Let f(n) = -5281*n + 10574*n + 42*n**3 - 5283*n. Let c(p) = 14*p**3 + 3*p. What is d*c(j) + 3*f(j)?\nAnswer: -14*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 37, 82, 137, 208, 301, 422?\n\"Answer: s**3 - s**2 + 41*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3115961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -9\/22378?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -v + 38491, 5*v + 30221 = -4*d + 222667. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -9*u. Let n be p(-5). Let v = -28 + n. Let x be 1 - (-7)\/(21\/150). What is the greatest common factor of x and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1123 (base 4) to base 10.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 5647932, -4.\nAnswer: -4, -3\/5, 5647932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -443, -1720, -3831, -6770, -10531, -15108?\nAnswer: -20495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 61013343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -177072, -708353, -1593844, -2833545?\n\"Answer: -177105*i**2 + 34*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404 is divided by 152.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 21*r**2 - r - 16. Calculate g(-21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 320.977 and -16965.\nAnswer: -16644.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/1 + (0 - -1). Let r(l) = -4*l**2 - 9*l - 6. Let g(s) = -5*s**2 - 10*s - 7. Let i(x) = -5*g(x) + 6*r(x). List the prime factors of i(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -11*p**2 - 2*p - 2. Let v(m) = -m - 1. Let d(r) = -r**2 + r + 1. Let j(n) = 6*d(n) + 7*v(n). Calculate -3*i(l) + 5*j(l).\nAnswer: 3*l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5852, 5845, 5834, 5819, 5800?\nAnswer: 5777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -10881.5, -4?\nAnswer: -10881.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*q + 205203 = 204621 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 650015 = -2*a + 3*c, -5*a - 1624980 = 4*c. What is a rounded to the nearest ten thousand?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 700744?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 63?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -2)\/((-1)\/(-3)). Suppose -5*t = -90 + 5. Suppose 0 = 3*j + 9, -4*z + j = -0 + t. Which is the second smallest value? (a) -0.4 (b) g (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -6*m + 117. Calculate the greatest common factor of m and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-4 + 1 - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/88877 and 49\/3782.\nAnswer: 177754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15190 - -24836. Does 14 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q - 10*q - q + 2*q**2.\nAnswer: 2*q**2 - 17*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + j - 49 = -z, z - 2*j = 52. Calculate the lowest common multiple of 4 and z.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -929*y + 0 - 1 + 966*y + 1.\nAnswer: 37*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -13. Let r = 1 - -4. Suppose r*h + 11 + 4 = 0. Sort 3, h, v in decreasing order.\nAnswer: 3, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4e3 (base 15) to base 4.\nAnswer: -101121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, m: 1, v: 3}. Give prob of picking 2 s.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a tonne in kilograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 100, 97, 92, 85?\n\"Answer: -j**2 + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000015926 to 7 decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**4 + 4*o**4 + 22 + 34*o**2 + 2 - 15*o - o**3 - 22 + 0*o**4 in the form z + y*o + h*o**2 + x*o**4 + q*o**3 and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 554975860 divided by 110995172.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33965 = 916*i + 17331 for i.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 4 + 24. Suppose 4*a + 4 = 6*a. Let n = 159 - 156. Solve n*t + 19 = -a*u, 0 = 2*u - 6*u - b for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d = 17*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/882 and 44\/735.\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**4 - 20*z**3 - 9*z**2 + 15*z + 12. Let s(o) = -3*o**4 - 21*o**3 - 9*o**2 + 15*o + 12. Let x(p) = -5*s(p) + 6*y(p). Solve x(k) = 0 for k.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0028507 to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssaasssassssasasss. What is prob of sequence aaaa?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c - 13. Let d = -144 + 138. Let f(y) be the first derivative of y**2 + 7*y - 1. Let z(r) = d*g(r) - 11*f(r). Determine z(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 10 = -2*o, -3*o + 7 = -2*o - 5*h. Let p(g) = -2 - g + 3*g - 1 - 3*g**2 + 5*g**2. Give p(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1619 + 1519*i**2 + 1619 to the form f*i + r + x*i**2 and give x.\nAnswer: 1519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116174 (base 8) to base 2.\nAnswer: 1001110001111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 2*f**2 + 6*f - 21. Let u = 39247 + -39242. What is m(u)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 190*r + 184*r = 13, 0 = -2*d - 5*r for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - q = -80, 46 = -0*d + 2*d - 3*q. Calculate the highest common factor of d and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27659589.\nAnswer: 3, 9219863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 352852155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-121)\/231 + (-2)\/(-7). Let b = -2\/3 - p. Sort -5, 1, b, -7 in descending order.\nAnswer: 1, b, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*r - 14*r + 139 + 101 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 32166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in -5, 26, 1\/7, -4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123429?\nAnswer: 3, 41143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 8 (c) -0.5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -90 + 541\/6. Let o be 2\/(-9) - (-5)\/(-360)*2. What is the nearest to 0 in o, 0.4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 313 divide 117352151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjee when four letters picked without replacement from jgeegjgjeh?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a week in minutes?\nAnswer: 9072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8694256 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6*d**3 + 2*d**2 + 4. Let n be (6\/(-4))\/(66\/88). What is the units digit of b(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12392604108750 take away -2?\nAnswer: 12392604108752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -30768 less than 1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in nine tenths of a kilogram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/1822545 and -103\/1458036.\nAnswer: 7290180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14\/(-16)*10)\/((-558)\/24 + 23). Solve 9*i = 14*i + 25, -5*u + 3*i + q = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328 + 48 = 4*r. Let k = r - 63. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -379662 = -3*l + 5*w, 41*w = 5*l + 44*w - 632770. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90*655706.\nAnswer: 59013540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 336 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1664 or -5\/1148?\nAnswer: -5\/1148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 19 = i + 2, 5*i + 89 = x. Let n = i - -104. Calculate the remainder when n is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44477464511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 4*g - 164 = -9*d, 4*d = 5*g + 219. Is d a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12799*w**2*z + 34*w**2 + w*z - 3074*w - 3*z - 2 wrt w?\nAnswer: -25598*z + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2310 divided by 1?\nAnswer: 2310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + sqrt(108)) - (4 + -1 + sqrt(108)))**2.\nAnswer: -144*sqrt(3) + 3892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(68)*-4 + ((1 + sqrt(68) - sqrt(68)) + 1)**2)*5 + (sqrt(34) + (sqrt(34) - sqrt(1666)*-2))\/((sqrt(10)*-2)\/sqrt(5)).\nAnswer: -48*sqrt(17) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/9 + 336344*q\/3 + 14140910792.\nAnswer: 2*(q + 252258)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 4*t = -5*s + 193, 0 = 3*s + 5*t - 112. Let a = s + -35. Solve 2 = 4*r + 3*q, -1 + a = 5*r + 4*q for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (0 + sqrt(1872) + 2 - sqrt(1872)*-2*3) + -5)**2.\nAnswer: -504*sqrt(13) + 91737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 1\/4*y**4 + 9*y - 11\/2*y**2 + 10\/3*y**3 - 101. What is k(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 164271 - 1470*d - 164271 + (-2*d + 2*d - d)*(-1 - 3 + 3) + 265 - 265 + 57*d - 2*d + 4*d - 3*d as z*d + l and give z.\nAnswer: -1413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 2*v + 390, -5*l + 307 = -4*v - 173. Let b = -2 + l. Is 21 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -17*b**3\/6 - 8*b + 4. Let w(m) be the first derivative of t(m). Let r(c) = -2*c**2. Give w(r(y)).\nAnswer: 34*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 121 = -166. Suppose -2*i + 53 + 7 = 0. Calculate the greatest common factor of i and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 n when two letters picked without replacement from {o: 3, p: 2, n: 6, z: 2, y: 1}?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005825734 to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, t: 6, a: 3, h: 3, c: 2}. What is prob of picking 2 a?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 125 - 53. Suppose -2*s - 405 = -7*s + r, s - 2*r - v = 0. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2624 by 2624.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(-3\/10))\/r*r*r\/(((r\/(r*r**(-1\/3)\/r*r)*r)\/r)\/r)*r*(r\/(r**(-2\/13)\/r))\/r**8)**(-16\/7))**(1\/11) assuming r is positive.\nAnswer: r**(5864\/15015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/4 - 7\/(-2). Suppose -y = -2*b - 4 - 2, -5*b = -q*y + 15. Which is bigger: y or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/3, -0.2, 11\/95, 5.\nAnswer: -1\/3, -0.2, 11\/95, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*m**2 - 73*m**2 + 5*m - 5*m + 42*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4895, -10214, -15533, -20852, -26171, -31490?\nAnswer: -36809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -245 + 219 + 20 + (22 + 1 + -3 - 1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g**2 + 10*g - 57. Is z(12) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/1662 and -48\/149917109?\nAnswer: 899502654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 8:36 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14153 - 45?\nAnswer: -14242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 3.2. Suppose -3*y + 24 = y. Suppose 2*f + y = -5*w, 4*f - 3*f = -5*w + 2. Is f greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 4*b - 240, 3 = 2*b - 5. Solve 15781 - 10*m**4 - 56*m - 66*m**2 - 22*m**4 + n*m**3 - 15789 = 0 for m.\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 8*r**2 + 605*r + 3181. Determine j(-70).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 5*q - 15611 = -15486, q = 3*c + 41 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 405*s**3 + 1301715*s**2 + 1325689280*s + 413256643100.\nAnswer: 5*(s + 595)*(9*s + 11786)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-five quarters of a week?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -8*s**2 + 11. Let p(w) = -3*w**2 + 4. Let g(v) = -11*p(v) + 4*x(v). Let j(a) = -16*a**2. Calculate g(j(u)).\nAnswer: 256*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(576)\/(sqrt(132)\/sqrt(11)) + ((sqrt(243) + 5)**2 + sqrt(243))*-4 + -2.\nAnswer: -1074 - 384*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 167 divided by -2.\nAnswer: -167\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1622781276?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 21, -4, 4 in descending order.\nAnswer: 21, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6695 or -6696?\nAnswer: -6695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwvaozawavw. What is prob of sequence wazo?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by (20 - 6) + 7 + 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21085 = -3*z - 2*i + 17700, 3*z + 5*i - 38782 = 0. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 68748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 778?\nAnswer: -774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25363 or 0.1?\nAnswer: 25363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1354 and 322.\nAnswer: 217994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 128 and 352.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 93 + -93 + 32 - (-6 - -105)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s**2 - 63*s + 19. Determine p(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92935380?\nAnswer: 2, 3, 5, 1548923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 528320088.9998824 + -528320304. Let k = w + 215. What is k rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -85 + 13 + -1 + 4 + 0 + 11.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 35 - (-30 + 67) - 32\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 50.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**5 - 57*r**4 + 180*r**3.\nAnswer: 3*r**3*(r - 15)*(r - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 323321 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-5 - ((11 - 1) + -10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 130.739365 + 0.158435. Let y = 0.2022 + m. Let t = y - 138. Round t to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (-5)\/10*-2. Let i = 23\/60 - 1\/20. What is the closest to 0 in w, -0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2701 and 133864261.\nAnswer: 2701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/2)*t*t*t\/(t\/(t\/t**0*t))*t*t*t)**(1\/4)\/((t*t*t*t**(2\/13))**(-2\/19))**(-29) assuming t is positive.\nAnswer: t**(-15813\/1976)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 3*k + 11, 3*r + 3*k = -6 - 0. Let a = -7 - r. Calculate the remainder when 23 is divided by 4\/((-5)\/a + -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1980 (b) 0.5 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26003, -26007, -26025, -26063, -26127, -26223?\nAnswer: -26357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2*p)*(-181 + 110 - 115) to n*p + b and give n.\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 + 445943976*a + 49716507432672144.\nAnswer: (a + 222971988)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0772 + -277.0772. Let h = 276.196 + s. Round h to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38029 is divided by 1088?\nAnswer: 1037","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7357352 to the power of 1\/2, to the nearest integer?\nAnswer: 2712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 182284847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**7\/315 - 14*t**6\/225 + 4*t**5\/25 + t**4\/45 - 5*t**3\/9 + 4*t**2\/5 + t + 126. Find a such that c(a) = 0.\nAnswer: -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n - 1. Let r(g) = 757*g - 101. Let p(c) = 2*a(c) - r(c). Is p(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a millimeter in micrometers?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 949 divide 4938670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-2 - (-100)\/35 - 6\/(-21)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1782630 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*o**2)*(-7*o**3 + 15*o**3 + 72*o**3).\nAnswer: -160*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 155 - -20?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 25.3513 - 9.8840472\nAnswer: 15.4672528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -1 - -6) + -1 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 17*h + 103. Give k(6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3d (base 15) in base 4?\nAnswer: -322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - (20 - (22 + -30)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7226947ml to litres.\nAnswer: 0.0007226947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a microsecond in nanoseconds?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46 and 12313027.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5166377, -10332749, -15499121, -20665493, -25831865, -30998237?\n\"Answer: -5166372*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38582 and 3319198?\nAnswer: 335238998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/5 and -55\/30274069.\nAnswer: 151370345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -7*f**4\/4 - 5*f + 4. Let n be (4 - 4) + -3 + -2. Let m(q) = -q**3 - 1. Calculate n*m(c) + d(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-184)\/(-46)*(-2)\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.02, -6, 3, 0.4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 12, p: 1, s: 1}?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -789 + 789. Suppose 5*f + 45 = 2*v, b = 8*v - 12*v - 4*f + 76. Solve -v = 2*l - 0*l - 2*j, l + j = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-240)\/45)\/((-4)\/(-198)). Let y be (-21)\/(-2)*s\/18. What are the prime factors of (-10)\/(-60) - y\/12?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423909016 to the power of 1\/2, to the nearest integer?\nAnswer: 20589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12810137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*c + 38 = 0, -2*m = 10*c - 7*c - 21. Suppose -m*p + 96 = -6*p. Solve p = -2*r + 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 148*z**2 + 15*z + 16. Is 5 a factor of y(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 + 42 - 94 = -29*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 45 = -4*t, n - 25 = 2*t + 4*n. Which is the closest to -1\/4? (a) -3 (b) t (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from xfffxxffqxfffeeeff.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = w - 13. Solve 3*x - w = 5*h + 2, 4*x = 2*h + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**3 + 69*k**2 - 36*k - 71. Calculate f(-35).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-127935)\/36 - -6)\/((-1)\/4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 501510 and 16717?\nAnswer: 501510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 752 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 21 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 8*x**2 + 6*x + 10. Let g be c(7). Suppose -g*p + 1 = -5. Suppose 3*m - 141 = p*j - 50, 3*j - 139 = -5*m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 + 175427*i - i**2 - 44*i**3 - 175427*i + 45*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -78 (b) 927 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(440)*-1*-5)\/(sqrt(192)\/sqrt(6)))\/((sqrt(11) + sqrt(44)*-6 - sqrt(11)) + sqrt(11) - (sqrt(11) + (3*sqrt(99))\/sqrt(9))))**2.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4458 is divided by 320.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a - 15*a - 8 = 0. Suppose -60 = -a*q + 108. Calculate the remainder when q is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5408784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26691 is divided by 70.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54.963 + 0.037. Let p = i + -53.59. Let g = 4.09 + p. Which is bigger: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (8 - 23 - -6) - (-18 - -23).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4816 + 129 = 547*c - 7089 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 3. Let r be -2 + b + (-1 - -3). What is the third smallest value in 0.2, 3, -0.5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34870 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4559.9364 minutes to days.\nAnswer: 3.1666225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12887711 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -514966383.3 to the nearest one million.\nAnswer: -515000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - 5*u - 10, 279*j - 281*j = 2*u - 14 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 152624, 153363, 154102, 154841, 155580, 156319?\nAnswer: 157058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**2 - 4*o - 7. Let i be a(3). Is 8 a factor of (-85)\/(-4) + (-2)\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1934)\/12*5\/((-35)\/42) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**16*c**(-3\/5))\/(c**(-3\/2)*c*c)**(44\/3) assuming c is positive.\nAnswer: c**(121\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9153 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-1\/2))\/p)**(2\/49)\/((p*p**6)\/p**(-4\/9)))**(-3\/25) assuming p is positive.\nAnswer: p**(3292\/3675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 5*b**2 - 93. Let p(o) = -2341631*o + 6*o**2 - 3*o**2 + 2341631*o. What is p(n(r))?\nAnswer: 75*r**4 - 2790*r**2 + 25947","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -a - 1803, -3*o + a + 954 + 399 = 0. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/2 + 3*j + 12.\nAnswer: -3*(j - 4)*(j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 6*c + 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4, -14, 1\/26, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -126343246170 less than 3?\nAnswer: 126343246173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 354*n - 915.\nAnswer: 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11635 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t**2 + t**2 + t + 4*t**2 - 4 + 0*t**2 in the form w + f*t**2 + g*t and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 44. Is t less than -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2*b - 18 = 7*b, 4*b + 4 = -2*r. Solve -k - r*k = -6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bn when two letters picked without replacement from bnb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 22\/72*20373\/9390*6. Let r = 26\/939 - g. What is the common denominator of 95\/2 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -150, -293, -422, -531, -614?\n\"Answer: n**3 + n**2 - 153*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 1:05 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-10) + (-44)\/10. Let a(l) = 2*l - 3. Let q(g) = -g + 2. Let k = -3 + 0. Determine b*q(u) + k*a(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 411890653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 13 + 0 = 0. Let p = 23 + b. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 5. Let i be (-258)\/5 + (-2)\/5. Let t be i\/(-14) + x\/(-14). Solve b = 2*b + t for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/7, 5, -3\/7, 236.4, 3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m - 16. Let i be j(7). Solve i*z + 5 = -t, -3*z = 3*t - 0*z - 9 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 11.11. Let m = -8.976 - -4.976. Which is the closest to 2\/7? (a) 1 (b) m (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.5 less than -533054696?\nAnswer: -533054779.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*h - 12, -3*h + 8 = r - 3*r. Let m(i) be the second derivative of -1\/6*i**3 - i + 0*i**2 - 5\/12*i**h + 0. Calculate m(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -6*y - 6. Calculate q(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*x = 368577 - 358489 for x.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 + (-3 + 0)\/6)\/(369 - 372). Let s be -3*(-1)\/(1\/1). Let r = 8 + -42\/5. Which is the closest to -3? (a) s (b) i (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 432*h**5 + 53784*h**4 + 1335996*h**3 + 12315778*h**2 + 39022010*h.\nAnswer: 2*h*(h + 95)*(6*h + 59)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -0.09351.\nAnswer: -1.09351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10721472850 and 1122.\nAnswer: -10721471728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -502483 or -0.2?\nAnswer: -502483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/4? (a) 2\/5 (b) -1 (c) -11 (d) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 153 = -x + 1168, 0 = 3*x + 5*i - 4023. Let h = x + -929. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k**2 + 1 - 1)*(-5586 + 2253 + 3279 + 10224 + 9325) to the form r + u*k + s*k**2 and give s.\nAnswer: 58485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -515 + 4?\nAnswer: -511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2190 = -w - 5*r, -3*r + 13140 = 6*w - 7*r. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3343*p + 39. Let o be c(3). Let k = 21925 - o. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 14 = p. Suppose 4*r + u = p, -5*r + 1 = 2*u - 4. Find the third derivative of 3*b**2 - r*b**2 - 11*b**2 - 8*b**6 wrt b.\nAnswer: -960*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 22 = -h + 5*x, 20 = 5*x. Let c(a) = -3*a + 6. Let j(v) = 2*v - 5. Let m(q) = -5*c(q) - 6*j(q). Determine m(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*t**4 + 0*t**4 - 2 - 12*t**4 + 2*t**2 as y*t + g*t**2 + n*t**3 + a*t**4 + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 11. Let r = 2100 - 2101.8. Let k be (-1 + (-4)\/(-2))*1. Which is the smallest value? (a) r (b) k (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3231360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of n**5\/15 - n**4\/4 - 7*n**3\/2 - 236*n**2. Give l(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*p**2 + 4 - 4)*((4*p + p - 6*p)*(0 - 2*p**2 + 0) + 3*p**3 - p**2 + p**2 + 2*p**3 + 3*p**3 - 4*p**3) + (-4 + 1 + 1)*(4*p**5 - 2*p**5 - p**5).\nAnswer: -86*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19198 is divided by 291.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -22. Let j = 0.1 + -0.1. Let z = 0.17 + 0.13. Which is the closest to j? (a) t (b) 0.5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**(15\/11)\/((p*p**11)\/p**(-2\/5)) assuming p is positive.\nAnswer: p**(-757\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*t - 97 + 67 = 0, -g + 5*t - 31 = 0. Solve 2*m - 4*f + 16 = 0, -m - 4*f + g = -0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20405355*n**2 - 4549856*n + 1 wrt n?\nAnswer: 40810710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 8. Let z = 11.3 - 14. Let j = z - n. What is the closest to -1 in j, 3, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a + 12. Let p be q(11). Suppose -5*u + 24 = -p. What is the third derivative of -j**u + j**5 - j**2 + j**5 wrt j?\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30871 + 10303 + 10283 + 10276 - 6*o**3.\nAnswer: -6*o**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 0*i + 2. Let v = 21 + i. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/(-20)*(-160)\/(-288). Let d = 0.21 - -7.79. Let a = d - 5. What is the second biggest value in l, a, 2, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 7*n - 6. Let q be z(8). Suppose -2*m - 3*c - 13 = -4*m, 5*m + 5*c = -5. Solve -12 = m*p + q*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 - 40. Suppose -13*x + 10*x = -6. Suppose x*w + 12 = m*w. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3245 = -5*y, -3*y = -2*y - 4*z - 649. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54286, 50569, 46852, 43135, 39418?\nAnswer: 35701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3*2.5967\nAnswer: 7.7901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, z: 10, y: 2, p: 4}. Give prob of picking 1 e and 1 y.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 585 = 55157*g - 55120*g, -z = 5*g + 70 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.7 + 12.9. Let s = 1 + -0.98. Which is the closest to 0? (a) s (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18956 = -3*g - 4*f, -3*f + 862 = g - 5450. What are the prime factors of g?\nAnswer: 2, 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 0 + 0*o**3 + 0*o**5 - 2\/5*o**6 - 36*o - 17\/12*o**4 + 0*o**2. Find the third derivative of r(p) wrt p.\nAnswer: -288*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2393*t - 6881*t - 1095*t - 5860*t in the form h + d*t and give d.\nAnswer: -11443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-48)\/(-9)*822\/8. Suppose 2*o = -34 + k. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -2*m**3 - 1. Let v(b) = -15*b + 75. Let f(n) = 25*n - 150. Let j(k) = 3*f(k) + 6*v(k). What is t(j(h))?\nAnswer: -1350*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2237 (base 8) in base 16?\nAnswer: 49f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 26*s**3\/3 - 3. Let c(l) = l**3 + 12*l**2 - 2*l - 15. What is the remainder when p(-1) is divided by c(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -32, -129, -296, -539, -864, -1277?\n\"Answer: -l**3 - 29*l**2 - 3*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7255 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.057? (a) 0.2 (b) -13 (c) 2\/9 (d) 1991\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 12:40 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.12 + 0.18. Which is the closest to 1? (a) i (b) -0.5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 8 - (-14 - -9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1332161 and 268?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/3)\/t)**(-22) assuming t is positive.\nAnswer: t**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 101 + 70168?\nAnswer: 70270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2083538*n**2*p - 2*n**2*w + 3*n*p - 107*n*w + 1323*w wrt n?\nAnswer: 4167076*p - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 20 = -y - 4*y, 0 = -23*y + 59*i - 58*i + 18 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.364436 to 2 decimal places.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 22 + 685*a**2 - 1368*a**2 + 685*a**2. Let v(z) = 14*z**2. Determine v(m(i)).\nAnswer: 56*i**4 + 1232*i**2 + 6776","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -47*j + 48*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6*s**2. Let k(h) = -39200*h. Let i(w) = -111*w. Let t(y) = 1764*i(y) - 5*k(y). Determine j(t(r)).\nAnswer: 230496*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.094 + 10.494. Let p = f + -10. Which is the second biggest value? (a) -1\/5 (b) 0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25791.47 rounded to the nearest 1000?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 25 = 0, -4*f - 2*x - 31 = x. Suppose 0*l - 10 = 5*l. Put f, 3, l in increasing order.\nAnswer: f, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 divided by 34\nAnswer: 37\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 33*q**2 + 126*q + 325. Give a(-29).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 60819 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dlkkwyk. What is prob of picking 2 k, 1 l, and 1 w?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35829 - 35625 = 20*s + 82*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/13 + 20272*w**2\/13 + 3044064*w\/13.\nAnswer: -2*w*(w - 10284)*(w + 148)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 + 44. What are the prime factors of j?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 25 + 2*t - 54 + 22 + 5*t. Let d(c) = -3*c + 3. Calculate -5*d(h) - 2*q(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 16*n + 2. Let v(x) = -2*x - 5. Let a(k) = f(k) + 6*v(k). What is a(11)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2946?\nAnswer: 2, 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3306027 to the nearest integer?\nAnswer: 1818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of b**5\/4 + 5*b**4\/12 - 5*b**3 + 2*b - 34. Determine h so that x(h) = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4913450 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -39. Suppose -z*t - t = -12. Suppose -s - 221 = -t*h + s, -4*h + 308 = 4*s. Is 14 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19810 and 140.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/(-8)*(16\/(-20))\/(-1). Suppose x = v - 0*v - 2, -2*x = v - k. Suppose i - b + 2 = -x, b = 4*i - 1. Do i and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 2*r - 5. Let f be t(2). Let c(m) = 4*m + 4. Determine c(f).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 + -53. Let g(t) = -t - 5. Let f be g(z). Suppose 3*l - 2*b - 1211 = f, 1195 = 3*l - 3*b + 5*b. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/72009 and -17\/744093.\nAnswer: 2232279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 13 - 12. Let k be 5\/z*(-1 + 0). Let g be (-56)\/(-115) - (-24)\/(-60). Which is bigger: k or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -5 (b) 2\/15 (c) 4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*n**3 - 380*n**3 - 90*n**3.\nAnswer: -678*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a - a**2 - 2*a - 3*a**2 + 2*a**2 + 0*a**2 + (5*a + 0*a - 3*a)*(-5*a + 2*a + a) + 1 - 1 + 2*a**2 - 2 + 2 + 2*a**2 - 5*a**2 + 13*a - 13*a.\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w + 59. Let k(r) = r - 20. Let c(v) = -2*h(v) - 7*k(v). Let i be c(0). Suppose 4*m = 2 + i. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 1\/7, 3\/5, 13, 0.02?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = x + 2*i - 12, -70 = -5*x - i. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**1)**(-7\/2)\/(((r*r\/(r\/r**(-4))*r)\/r)\/r**(-2))*(r**(2\/3)\/r**1)\/(r**1)**24 assuming r is positive.\nAnswer: r**(-70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 182406 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3344614?\nAnswer: 2, 7, 13, 17, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13582 - 13581. Let d = -3 - -2. Put z, -4, d, 4 in decreasing order.\nAnswer: 4, z, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, j: 1, g: 3, c: 4, o: 4, s: 3}. What is prob of picking 1 o and 1 s?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(2 - (-15)\/(-6)). Let i(r) = 1 - 2 - 3*r - 2. Let f be i(p). Solve 9 = -2*s - w, -f*s + 3*w - 7 - 2 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -793 divided by -13\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 4, 45, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.34 - 0.06. Let p = -1.108 - 0.152. Let o = p + 0.26. Which is the second smallest value? (a) i (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-3) + (-7904)\/(-6). Suppose -2*l + h = 3*f, 4*f + 273 = -5*l + 2029. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(1\/1))\/((-5)\/(-60)). Let q be 1 - u - (9 - 6). What is the second derivative of -8*l**4 - 4*l**4 + 2*l**4 + q*l wrt l?\nAnswer: -120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-6*(-4)\/(-40)*5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331731.\nAnswer: 3, 29, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 218311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -7*x + 5*x. Solve 2*n + 15 = 5*m, 2*m = -0*m - 2*n + x for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6077300.\nAnswer: 2, 5, 60773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1110 - -40514889.3.\nAnswer: 40513779.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 + (9 - (-280)\/(-42))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 134965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - i + 1. Let f(y) = -2*y - 5. Let j(o) = -o - 10. Let g be j(-7). Let z be f(g). What is h(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 272 + 221. Suppose z = -4*j + 113, 5*z + 0*j - h = 4*j. Suppose 4*o + 5 = z. What is the highest common divisor of o and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 47 = 9*z - 4*z, -4*h + 2 = z for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1833 = -3*i, -1829 = -3*i - 6*b + 4*b. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 5598*k + 108. Let g(t) = -2799*t - 48. Determine -9*g(s) - 4*n(s).\nAnswer: 2799*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 1274 = -355. Let l = i + 790. What are the prime factors of l?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -17, 23.\nAnswer: -17, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 275774 or 275775?\nAnswer: 275775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 919046 (base 10) in base 13?\nAnswer: 26241b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -i - 13\/2*i**2 + 45 - 1\/6*i**3. Calculate f(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -0.3 (c) -1\/5 (d) 0.099\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 - -40.3. Let f = p + -0.2. Let o = -2.82 + -0.18. Which is the nearest to 0.3? (a) f (b) o (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -257.56 + 259. Let k = x + -1.54. Which is the third smallest value? (a) -3 (b) 21 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12121020 + -2?\nAnswer: 12121011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 7 = -2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2263 (base 8) in base 2?\nAnswer: -10010110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -5. Let x(n) = -6*n - 5. Let g(b) be the first derivative of -7*b**2\/2 - 6*b + 8. Let p be (10 + -3 - -2) + -4. Determine p*g(u) + r*x(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*c - 1 + 1)*(4 - 2 - 4) - 3*c + 0*c + 5*c)*((-2 + 3 + 0)*(-1 - 2 + 1) - 64 + 37 + 34)*(-3 + 3 - 1) as i*c + a and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f - 9. Let x be m(-8). Suppose -3*z + x = -2. Solve -9 = -2*t - t + z*r, -3*t = -4*r - 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-18)*-14*9*9\/189\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**3*o - 2*h**2 - 5730*h*o - 112*o + 20 with respect to h.\nAnswer: 6*h**2*o - 4*h - 5730*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b - 2*b + 4*b + (0 + 0 - 2*b + (-5 + 5 - 1)*(b + 0*b + b) - 3*b - 3 + 3 - b + 0*b - b)*(231 + 559 - 26).\nAnswer: -6877*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 67428994 to the power of 1\/3, to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4335 minus 0.3?\nAnswer: 4334.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 63*f**5 - 7521*f**4 + 229539*f**3 - 299307*f**2 - 104430*f = 0. What is f?\nAnswer: -2\/7, 0, 5\/3, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120200223 (base 4) in base 2?\nAnswer: 1011000100000101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*l + 115*l + 108 = 0. Suppose 7*w = -l + 57. Suppose w*i - 4*j - 124 = 0, -3*j + 215 = 5*i - 8*j. Calculate the remainder when i is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -14*x**3 + 6*x**2 - 16*x - 33. Let t(a) = -16*a**3 + 7*a**2 - 16*a - 33. Give 6*t(b) - 7*y(b).\nAnswer: 2*b**3 + 16*b + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3475292 = -171*y + 4170923 - 39974331. What is y rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 6, 9?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m + 15. Calculate y(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -16*p - 2. Let g(y) = -45*y - 5. Let q(f) = 8*b(f) - 3*g(f). Let v(k) = 34*k - 6. Give 11*q(t) - 2*v(t).\nAnswer: 9*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(7\/3)*s*s**4\/s)\/(((s\/((s**(-1)*s)\/s))\/s)\/s)**(-9) assuming s is positive.\nAnswer: s**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -0*l. Suppose 4 = 2*u - 2*n, l = 4*u - 2*u + n - 1. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -122, -59, -3 in ascending order.\nAnswer: -122, -59, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 7:33 AM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22\/(-8) - (-8)\/(-32). Let g be (2 - -6)\/(o\/(-12)). What is the highest common divisor of g and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 6 - (7 - 4) - -2. Let t = -15 + 3. Let n = t + 7. What is the second smallest value in q, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -149 divided by -73280\nAnswer: 149\/73280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - -1.2. Let g = -3 - m. Let x = -36 - -71\/2. What is the third smallest value in g, x, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-131*k + 5090*k + 387*k)*(0 - 3 + 2) in the form a*k + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10498)\/145 - 2\/(-5). Calculate the remainder when 334 is divided by (d\/10)\/(177\/(-590)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1206277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(0 + 1) - -11?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -28, -55, -82, -109?\n\"Answer: -27*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 13*d - 2565458 = -10*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 9*c + 5. Let t be d(-9). Let q(a) = 5 + 2*a**2 - a**2 + 16*a - 21*a. Give q(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*a**2 + 1\/2*a**5 + 7*a**3 + 3*a**4 + 1 + 9\/2*a.\nAnswer: (a + 1)**4*(a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67\/8584403 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 w when three letters picked without replacement from ggwfyyfgyggf?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2970 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**2 + 0*c**2 + 0*c**2 + (-2*c + 3 - 3)*(-5*c - 5*c - c) as x*c + r + u*c**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5601678 and 6?\nAnswer: 5601678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, a: 1, r: 1, t: 8, b: 2, w: 3}. Give prob of picking 1 a, 1 t, and 1 r.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 608321 and 6016?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 0*w**2 - 3*w**2 + 2*w**2 + 3*w**2 - w**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + w - 966 = 0, -43 = -x - w + 441. What is the second derivative of x*z + 10 - 136*z**2 + 475*z - 958*z wrt z?\nAnswer: -272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 7:31 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -822 or 8796?\nAnswer: 8796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 0 (c) 2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.0953949 to 1 dp.\nAnswer: -11.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (129*h**2 - 54*h**2 + 36*h**2)*(2*h + 1 - 1) - h**3 + 0*h**3 - h**3.\nAnswer: 220*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (14 - 1956\/153) + (-4)\/(-34). What is the second smallest value in 2\/3, 2.45, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cj when two letters picked without replacement from {t: 1, c: 1, j: 9, w: 1}?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(1 + -1233)*8.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**15\/f)*f)\/(f\/(f\/((f\/(f\/(f**8*f)))\/f))*f*f) assuming f is positive.\nAnswer: f**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -788*c - 333*c - 97*c.\nAnswer: -1218*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 65604.886 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/84 + (-80)\/42.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3324115 and 10535.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 - 2*z**2 + 15*z**2)*(3*z - z - z) - 3*z**3 + 0*z**3 + 4*z**3 + (-z**2 + 0 + 0)*(-3 - 2*z + 3).\nAnswer: 14*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*8\/60*(-6)\/(-22).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/(-55) + 175\/55 + -3.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b*v**3 - 28*b*v**2 + 1495*b + 2*v**3 - 19*v**2 - 3323 wrt b?\nAnswer: -2*v**3 - 28*v**2 + 1495","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -195073325*n**3 - 2*n + 59026714.\nAnswer: -1170439950*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 1455 = -2*d + 3*l, -5*l = 4*d - 1201. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, i: 1, o: 6, t: 3, v: 2, u: 4}. What is prob of picking 1 t and 2 u?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + t + 279, 12 = -5*t + 2*t. Calculate the highest common divisor of 33 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000159698647 to 6 decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -u**5\/20 + u**4\/3 + u**3\/6 + 4*u**2 + 4*u. Let a be i(4). Suppose -10*y - 4 = -a*y. Is y < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*h - 3, 0*w - 2*h = 4*w. Let c(u) = 53*u**2 - 6*u - 6. List the prime factors of c(w).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**5\/20 + 2*y**3\/3 + 22*y. Find the second derivative of p(q) wrt q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 8*n + 64. Let p be w(-9). Sort p, 5, -6, 0 in descending order.\nAnswer: 5, 0, -6, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 5, -3 in descending order.\nAnswer: 28, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219*g = -149*g + 4121 + 6919. Calculate the smallest common multiple of 35 and g.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 + (-6)\/(-1) + -4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**6 - 20*d**4 - 3*d**3 - 3*d**2 - 293*d + 1.\nAnswer: -240*d**3 - 480*d - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/3)\/8 - 20\/(-60). Solve l*n = -3*n + 4*s - 11, -4*n = 3*s + 23 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 762 + -704. Is n <= 54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/13 (b) 3 (c) -0.8 (d) 1 (e) -39 (f) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**2 + 5*t + 4. Let u(p) = 3*p**2 + 4*p + 5*p**2 + p + 6*p + 8. Let v(q) = 5*i(q) - 3*u(q). Factor v(s).\nAnswer: -4*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 c, and 1 h when four letters picked without replacement from {l: 6, c: 7, h: 1}?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ms when two letters picked without replacement from {s: 2, d: 1, b: 1, m: 1, p: 1, q: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -1. Suppose -5*w + 3*l - 6 = 4, -2*w - 13 = -x*l. Suppose -4 = -n, -n - 4*n = 3*c - 23. What is the remainder when c is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x**2 - 20*x - 8. Let r be k(-6). Let j be (3\/(-7))\/(15\/210*-9). Which is the second smallest value? (a) -0.2 (b) -1\/4 (c) r (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8576, 15316, 22056, 28796?\nAnswer: 35536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 133217204 divided by 1.\nAnswer: 133217204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 493, 957, 1419, 1879, 2337, 2793, 3247?\n\"Answer: -u**2 + 467*u + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 - -16. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1819 - 1135. Suppose 2*r - 4*g = -2*g + c, 2*r - 5*g - 696 = 0. What is the highest common divisor of r and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -140, -312, -554, -866, -1248, -1700?\nAnswer: -2222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**2\/2 + 5835613*g - 34054379085769\/2 = 0.\nAnswer: 5835613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+475\nAnswer: 475.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2499 divided by -147\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-12)\/(-1 - 1) - 0 and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 54128546 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*u - 201 - 92*u + 66*u - 215 in the form w*u + h and give h.\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29296*l**2 - 3413*l**2 + 13979*l**2.\nAnswer: 39862*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*2*(sqrt(8) + 1 + 5) - 6*(sqrt(392) + (0 + sqrt(392) + -1)**2)).\nAnswer: -2384 + 76*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 2*g + 4. Let u be v(-3). Let f be (-2 - -3)\/(42\/(-24) - -2). Suppose 3*x = 3*h + 24, -3*x + 5*h + 31 = -x. Solve x*p - f = -u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 1118*h - 1115*h - 32, h - 34 = -3*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -8*f**5\/5 - 2*f**3\/3 - 5*f**2\/2 + 68. What is the second derivative of g(l) wrt l?\nAnswer: -96*l**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 4:33 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 163\/(-14) + 12 + (-60)\/28 + 2.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t**2 - 3*t - 5. Calculate f(-4).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -24852, -100148, -225670, -401418, -627392?\n\"Answer: -25113*x**2 + 43*x + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 90 = -5*w, -w - 4*y + 40 = 2*w. Calculate the remainder when 51 is divided by w\/(-2) + 4 + 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195175?\nAnswer: 5, 37, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 6*r + 9. Let f be p(7). Suppose 0 = 3*y - 0*y - 2*h - 23, f*y - 3*h = 12. Solve 5*d + 18 = u, 2*u + 2*d - y = 3*d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 10 = -51*z + 56*z, -5*x + 5*z = -45 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeeo when four letters picked without replacement from ooooeeoooo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**5\/50 - 11*x**4\/30 - 221*x**3\/15 + 231*x**2\/5 + 4226*x. Suppose n(a) = 0. What is a?\nAnswer: -11, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 11888*c - 178102. Give o(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110357 is divided by 89.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -14*u - 1. Let x be l(6). Let v = -16 - x. Calculate the common denominator of (v\/12)\/((-2)\/4) and 49\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -250460 divided by -4\nAnswer: 62615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-45)\/(-3)*3\/9. Suppose -g*k = 0, 5*h + 0*k + 15 = -2*k. Let m(l) = -l**3 - 4*l**2 - 2*l. What is m(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 6*o - 1. Let d be ((-736)\/(-147) - 0) + 2575\/(-515). Is d greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of m**4\/12 + m. Let l(u) be the second derivative of 7*u**4\/12 - 2*u**3\/3 - 2115*u - 2. Give k(l(r)).\nAnswer: 49*r**4 - 56*r**3 + 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-3\/7))**(-3\/5)\/((y\/(y**(-3\/7)*y))\/(y**(-2\/81)\/y*y)) assuming y is positive.\nAnswer: y**(-743\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 186204684*b*c**6 + 47*b*c**2 - 6*b*c - 11652*c**2 + 3 wrt c.\nAnswer: 22344562080*b*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 7976 = v + 3*v, 5*i - 9978 = -3*v. Suppose 4*l = -2*p + i, 995 = 2*l + 5*p - 0*p. Let d = -294 + l. What is d rounded to the nearest 10?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20 - 20 - 23*v**2 + (-1 + 3 - 1)*(-4*v**2 + 2*v**2 + 0*v**2) - 2*v**2 + 0*v**2 + 3*v**2 + 7*v**2 - 2*v**2 - 2*v**2 + 0*v**2 + 0*v**2 + v**2.\nAnswer: -20*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8043?\nAnswer: 3, 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 0.1, -203, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i + 57 + 37 + 16.\nAnswer: 3*i + 110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 11*b**2. Let r(g) = -937*g**2. Calculate r(p(i)).\nAnswer: -113377*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 396751090 a multiple of 893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 3*b + 7. Let m be q(0). Let l = 9 - m. Solve -l*c + g + 13 = 0, -5*c + 2*g + 0 = -30 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -13*x**2 + x**3 - 4 + 14*x**2 + 4. Let g be q(-2). Put -0.4, 0.3, g in decreasing order.\nAnswer: 0.3, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1000*n - 994*n + 3009*n - 1012*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -92?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 244*p**3 + 2*p**2 + 4*p. Let w = 55 - 39. Let c be b(w). Round c to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 8*i**2 - 9*i - 14. Give c(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -18583\nAnswer: 18583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 272 by 1795712.\nAnswer: 17\/112232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 3*h + 3. Let u be f(-4). Suppose 4*t - 1 - 3 = 0. Let q = t - u. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 29\/3 or 1.2?\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 14*m + 9*m + 9*m)*(3*m + 2*m - m) to the form w + l*m + d*m**2 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gq when two letters picked without replacement from {g: 18, q: 2}?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 8 + 40*o - 39*o - 4.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -528491, -528490, -528491, -528494, -528499, -528506?\nAnswer: -528515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 18467650, 18467647, 18467644?\n\"Answer: -3*g + 18467653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**2 + d**2 - 4*d**2 + (2 - 3 - 1)*(-2*d**2 - 1 + 1) + 0*d**2 + 4*d**2 + d**2 + 0*d + 4*d + 2*d**2 - 2*d.\nAnswer: 9*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = k + 10, 4*k = 3*r + 1 + 11. Let b = 8 - k. Suppose 5*x = 2*m - 22, -2 = -3*m - 5*x + 6. Solve 4*c - m = b*a, 5*c - a + 6*a = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.01 + 0.01. Which is the nearest to -1? (a) g (b) 1\/5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k + 4. Let w be z(1). Suppose w*f - 10*f - 28 = 0. Let m be ((-16)\/(-20))\/(f\/(-90)). What is the greatest common divisor of 45 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 - 75. Let m = -321 - -326. Which is the closest to l? (a) -1 (b) m (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86620?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1666.347 + -1659.3. Let w = 7 - f. Let y = 1.153 - w. Which is the smallest value? (a) y (b) 0.3 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -91*j + 96*j - 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60 - -65 - 16\/3)\/(35\/(-45))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*u + 4*a - 169, -u + 58 = 2*a. Suppose -r = r - u. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -244 - 12140243?\nAnswer: -12141042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3*sqrt(85) - sqrt(85)))\/(sqrt(25)\/sqrt(5)*2)*-3*6.\nAnswer: 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104, -154, -240, -362, -520, -714?\nAnswer: -944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/7)\/(m\/((m\/((m**(3\/4)\/m)\/m))\/m)))**(-10\/3) assuming m is positive.\nAnswer: m**(-95\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a meter in centimeters?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 + 69*o**3 + 5*o**3 - 23*o + 38*o**3.\nAnswer: 114*o**3 - 23*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4962?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of 0*y**2 + 12*y - 16\/5*y**5 + 0*y**3 + 0*y**4 - 10. What is the derivative of x(r) wrt r?\nAnswer: -64*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -109 - -119. Find the third derivative of -501*z**3 + z**4 - 161*z**2 + 1000*z**3 - 501*z**3 - z**4 + i*z**5 wrt z.\nAnswer: 600*z**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 z, 1 h, and 1 p when four letters picked without replacement from zchpxhm?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.5 + 1. Let r = 5 - 4. Let i be (50\/(-18) - (188\/36 + -5))*32\/(-576). Put i, r, n in increasing order.\nAnswer: n, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a meter in millimeters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*u + 1. Suppose u*i - 2*i - 2280 = 0. What is i rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/378)\/(1*(-7)\/(-42)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**2 + 12*n - 63 = 0.\nAnswer: -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02008233 + -4.5.\nAnswer: -4.52008233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 480 and 768.\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*v = 5*j + 12, -5*v - j = -16. Let q be 0 - -2 - (2 + -16). Let l be q*(-3)\/12*-1. Is v at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-1\/4)\/u*u*u)**(-2\/19)*(u**2*u)**37)**7)**(4\/5) assuming u is positive.\nAnswer: u**(11802\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 126189 to the power of 1\/2, to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/13 + 2636*m\/13 - 2638\/13.\nAnswer: 2*(m - 1)*(m + 1319)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 68 = 4*j, 3*n - 368 = 4*j - 116. Suppose -8*i + 4*i + n = 0. Let l be (1 - 0) + (-12)\/i. Is l greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7968?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*w**2*z**5 + 154*w**2*z**3 + 3*w**2*z**2 + w**2 - 14 wrt z.\nAnswer: -420*w**2*z**2 + 924*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 112386 divided by 385\nAnswer: 112386\/385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 8 = 10. Suppose 2*r = t - k, 3*r + 2*r - 12 = -4*t. Suppose -t*q + 89 + 448 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 32 = -5*v, 0 = 4*j + 5*v - 4. Calculate the remainder when 1 + -3 + (39 - 1) is divided by (-1*2)\/(j\/26).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4206*n - 687*n - 2512*n + 713*n + (0*n - n - n)*(-1 + 2 - 2) to the form g*n + q and give g.\nAnswer: -6690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 7*s**2 - s + 7. Let w be z(7). Suppose -2*h + 4 + 8 = w. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1350 and 127350?\nAnswer: 382050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/r**(-4\/5)))**31*(r**3)**(-14))**45 assuming r is positive.\nAnswer: r**(-3006)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p - 5*m - 7 = -141, m - 106 = -5*p for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 1 - (423 - 417) - 35\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -372*g - 288*g + 60*g - 893*g + 264*g in the form d*g + w and give d.\nAnswer: -1229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - -885184056.7.\nAnswer: 885184053.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5*o + 5. Let i(u) = -u - 1. Let q(b) = -b**2 - 163*b - 786. Let j be q(-5). What is j*m(c) + 22*i(c)?\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10260240.\nAnswer: 2, 3, 5, 42751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**4\/7 + 178*x**3\/7 + 2302*x**2\/7 + 7670*x\/7 + 5550\/7 = 0 for x.\nAnswer: -5, -1, 111\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 13719.60261ns?\nAnswer: 0.000000000022684528125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-207)\/63*-1 + -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 482658 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 32 and 0.5?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 3977701?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 5*d - 19. Calculate the remainder when 143 is divided by k(11).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**3 - 82*f**2 + 83*f = 0. Calculate f.\nAnswer: -83, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7050187, 2\/11, 29 in ascending order.\nAnswer: 2\/11, 29, 7050187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -66, 3\/5, -0.4, 0, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*f = x - 15, -x = 2*f - 25. Let v be x\/(-6)*(-24)\/(-20). Let d = v - -3. Solve 3*m + 3*p - 9 = 3, d = -m - 5*p + 16 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7880?\nAnswer: 2, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 405 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 + -0.7. Let d = -373 + 372.7. Sort d, -0.5, j, 0.1.\nAnswer: j, -0.5, d, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5 = w. Let m = 56 + -51. Put m, -4, w in descending order.\nAnswer: m, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -8 + (2405 - 2379)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u - u + 4*u + 6*u.\nAnswer: 14*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h*p**4 - h + 2399*p**6 - 102613*p**2 wrt p.\nAnswer: -48*h*p + 287880*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 6. Suppose -s - 11 = 2*s + 4*i, s = -5*i - 22. Suppose y*o - 85 = s*o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449586 is divided by 2660.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 944 by -472.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-7)*5\/((-50)\/35).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 3:16 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**4 + 37*y**3 + 29*y**2 + 10. Let b(s) = -3*s**4 - 38*s**3 - 31*s**2 - 8. Let a(r) = -5*b(r) - 4*n(r). Factor a(v).\nAnswer: 3*v**2*(v + 1)*(v + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**6\/165 - l**5\/55 + 2*l**3\/33 - l**2\/11 - 3*l. What is b in u(b) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(2\/29))\/(u*(u*u**(-6))\/u))**(-12)*((u*u**(-4\/7)\/u)\/(((u*u*u*u**(-5\/2)\/u)\/u)\/u))**47 assuming u is positive.\nAnswer: u**(7905\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -94 (base 11) to base 2\nAnswer: -1100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -6. Suppose -7*o + o + 480 = u. Let q be 8*5\/(o\/(-36)). Is q >= -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0479 + 0.075. Round l to three decimal places.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l - 9. Let h(y) = 2*y + 19. Let i(k) = -3*h(k) - 7*v(k). Let s be i(-6). What is the closest to 0 in s, -2\/9, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -4315\/33 = -131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 643\/6 + -107. Let b(s) be the second derivative of 0 + 1\/12*s**4 + 7\/20*s**5 + 0*s**2 + k*s**3 - 3*s. Determine b(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2390\/717 - (-8)\/(-6)) + 40?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 443 * -5\nAnswer: -2215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 9*j**5\/2 + 3168417*j**4\/2 - 1056151*j**3 - 3520474*j**2 - 1408188*j = 0.\nAnswer: -352047, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -137 - -141. Sort 3, 0.3, r in increasing order.\nAnswer: 0.3, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3585*o + 2826*o + 1353*o + 1055904 for o.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of z**6\/40 - z**4\/24 - 3*z**2\/2 - 3. Let r(g) be the second derivative of k(g). Find the second derivative of r(u) wrt u.\nAnswer: 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 18*a**2 - 5*a + 45. Let c be k(-20). Let t = 117473\/16 - c. Find the common denominator of t and 43\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-12)*60\/(-4). Let n = h + 200. Calculate the highest common factor of 42 and n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/3 - 991*b\/3 - 992\/3.\nAnswer: (b - 992)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8\/15, -4, -1\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 10:51 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 3:51 PM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by -11515044?\nAnswer: -13\/11515044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -186, 1\/4 in descending order.\nAnswer: 14, 1\/4, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1417684628 a multiple of 224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 257?\nAnswer: -2\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319*v - 9419 + 3347 = 66*v for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t - 1. Suppose 3*s = 5 - 11. Calculate b(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -80\/117 and 20\/9.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 426 and 710.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 420 and 65740710?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**6 + 3*k**6 - k**2 + 2*k**6 + 5*k**2 wrt k?\nAnswer: 720*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a decade?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 125521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-892)\/(-2) + (9 - 21\/3). Let q be 27\/(-6)*t\/(-24). What is the highest common factor of 36 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1880\/77549?\nAnswer: 1880\/77549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i - 39. Give c(13).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -331*l**3 - 58*l**2 - 2*l + 1. Let b(u) = 663*u**3 + 117*u**2 + 5*u - 3. Let v(q) = 2*b(q) + 5*w(q). What is the third derivative of v(z) wrt z?\nAnswer: -1974","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**3*j**4 - 4227255*d**3*j**3 - 44*d**3*j + 70*d**3 - 5*d**2*j + 9 wrt j.\nAnswer: 24*d**3*j**2 - 25363530*d**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 608133 is divided by 303?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3001*u + 436*u - 8963 + 108998 for u.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*d**2)*(5*d**2 - d**2 - 2*d**2)*(-2 - 6 + 3).\nAnswer: 20*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10994 - -153999\/14. Find the common denominator of p and -63\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.28 and -3021.86?\nAnswer: 25021.0008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.212 - 9.483. Let h = r - -0.271. Which is the closest to 0.6? (a) 0.06 (b) h (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - q = -11, 5*x + q + 25 = -0*q. Let l be 0 - (1\/x - 0). Let m = -138 + 687\/5. What is the nearest to m in 0.3, -5\/4, l?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 - 47*c + 31869. Calculate j(115).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25837 + 25837.06. Which is the second smallest value? (a) -0.5 (b) -0.4 (c) -24 (d) n (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.9 + 0.1. Let i = 25.881 - 29.881. What is the third smallest value in -0.04, i, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7294950 by 390.\nAnswer: -18705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (76\/57*(-6)\/22)\/((-148)\/111).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20484860 by -1862260.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - -37. Solve -2*m - 4 = -3*b + 5*b, 0 = -5*b + k for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (119\/27 - 8\/6) + -3. Let c(h) be the first derivative of -1\/27*h**6 + 1 + w*h**3 - 2\/45*h**5 + 1\/18*h**4 + 0*h**2 + 0*h. Suppose c(x) = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47 by -1313809.\nAnswer: -47\/1313809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 - 1)*(31*c + 318*c + 214*c)*(6 - 3*c**2 - 6) to w*c + h*c**3 + q*c**2 + n and give h.\nAnswer: 3378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 - 32?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*t**5 - t**4 + 35*t**3 - 16*t - 326.\nAnswer: 640*t**3 - 12*t**2 + 210*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1289 by 446936.\nAnswer: 1289\/446936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 4*w + 114. Let c be 4\/w - (-288)\/567. What is the fourth smallest value in c, -3, -0.4, -4\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91685609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l**2 + 5*l - 328. Let m be j(18). What is m rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*u + 124 - 124 + (3*u - 3*u - 2*u)*(-1 + 1 - 2))*(3 - 4 + 6) as n + t*u and give t.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 3*r**5\/5 + 36*r**4\/5 - 39*r**3\/5 = 0.\nAnswer: -13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32565078.\nAnswer: 2, 3, 7, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**2 - 15*i**2 - 9*i**2 + 1108 - 3*i**2 - 1108 + 19*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 7:32 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d, 1 s, and 1 g when four letters picked without replacement from {d: 7, g: 4, s: 1, k: 1}?\nAnswer: 84\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2\/3 + 81789184*i\/3 - 418091913711616\/3.\nAnswer: -4*(i - 10223648)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 507, 523, 545, 573?\nAnswer: 607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + v**2 + 29. Calculate j(0).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 385 = -4*t, 3*t = 2*i - 0*i - 257. Let u = -2029\/16 + i. Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 788.8862 and 0.5.\nAnswer: 789.3862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-140)*-54)\/((-117)\/(-78)).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 6 = -4*x - 16, 3*x + 14 = a. Let i be (4\/4)\/(x\/(-4)). Is 15 a factor of -3 + i + 4 - -28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -52405*i - 105. Let y(r) = -2*r. What is j(y(n))?\nAnswer: 104810*n - 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -59, -99, -141?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5)*m**0)\/(m**(2\/3)*m*m\/(m**0*m))*(m**(-1\/4)*m)**(-2\/81)*m*m*m*m**(-5)\/m*m*m*m**4 assuming m is positive.\nAnswer: m**(-199\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 650773 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 3*l + f - 11, 2*f = -3*l + 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fqf when three letters picked without replacement from {l: 2, c: 8, q: 1, f: 7}.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 12 = -0*k - 3*k, k - 5*l = 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n + 36. Let u be c(12). Let g = -0.832 + 1.032. What is the fourth biggest value in 5, u, 11, g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of p**5\/60 - p**4\/8 - 11*p**3\/6 - 846*p**2. What is x(-7)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(45) + sqrt(45) + sqrt(720)*3)\/sqrt(9)*-3)**2.\nAnswer: 8817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 31 = -10*x. Solve -25 = -3*f + 5*m, x*m = f - 5*f + 12 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 2*g + 5 = 1, 0 = -5*j + g + 28 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 43, 168, 397, 748, 1239?\n\"Answer: 3*y**3 + 34*y**2 + 2*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111, 414, 915, 1614, 2511, 3606, 4899?\nAnswer: 6390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 162268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c - 3*c + 4*c)*(-1 + 29 + 25).\nAnswer: -106*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6839034 - 6839034 + 7*q.\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 739148891 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) - (0 + sqrt(637)))**2 - (sqrt(13) + (sqrt(13) - (5 + -1 + sqrt(13) + sqrt(13))))**2) + sqrt(26)\/sqrt(2)*5*-5.\nAnswer: -25*sqrt(13) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52776.93 months to centuries.\nAnswer: 43.980775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.1 and -224\/7505 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-5 + -2*sqrt(192) - sqrt(192))**2 - sqrt(192)) - (-1 + ((2*(sqrt(192) - (sqrt(192) - (sqrt(192) - (sqrt(192) + 2 + sqrt(192))))))**2 - sqrt(192))).\nAnswer: 1040*sqrt(3) + 7982","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11349 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**21*c\/c**(5\/6) assuming c is positive.\nAnswer: c**(127\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*t - 357 = 9*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 divided by 44.\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/(-42) - 2\/(-4). Which is the smallest value? (a) 1\/10 (b) -2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 3435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 4*g**2 - 5 - g**3 + 2*g - 27 + 25 to the form w*g**3 + j*g**2 + k + q*g and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5*t + 3. Let q(o) = 18*o - 23. Let d(m) = 9*m - 11. Let l(r) = 13*d(r) - 6*q(r). What is 3*l(f) + 5*s(f)?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2*n - 3541 = 1759, -2*n = 3*h - 7950. What are the prime factors of h?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8589)\/26994*(-4)\/7\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 390 + -225. Suppose -5*m = 5*k - f, 5*m = -k + 2*m + 23. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/9, 2, 1, 3759, -4?\nAnswer: 3759","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/270 and -133\/60870?\nAnswer: 547830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12559 by 661.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 865 = 5*m, 4*m + 3*f = 4*f + 683. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and 1982995.\nAnswer: 1982996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -280, -558, -834, -1108, -1380, -1650, -1918?\n\"Answer: v**2 - 281*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -594 = 39*f + 27*f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjugrra. What is prob of sequence gj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 5, 0.04, 3\/5 in decreasing order.\nAnswer: 5, 3\/5, 0.04, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in 0, -3, 60?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*a**2 + 17*a**2 - 11*a**4)*(-6 + 4 + 0)*(-a + 7*a - 2*a) + (4*a**3 - 2*a**3 - 3*a**3)*(-2*a**2 + a - a).\nAnswer: 90*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000101100111100111011111 - -100?\nAnswer: 1000101100111100111100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2 to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -17*l - 20*l + 260*l + 110*l + 62*l. Let r(q) = -2*q. Determine r(y(x)).\nAnswer: -790*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -471139, -942357, -1413575, -1884793, -2356011, -2827229?\n\"Answer: -471218*y + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -2. Suppose -m = -4*a - 4*m - 5, -3*a - 3 = 3*m. Let q be -3*(a + 1 + 0). Solve -4*o + 4 - 18 = n*i, -3*o + q*i - 24 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 219*i**2*j + 41179*i**2 - 33*i - 94326*j - 2 wrt j.\nAnswer: 219*i**2 - 94326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -10*w + 30. Suppose -h = 7*j - 4*j - 85, -j + 5 = w*h. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 147461\/7830 - -2\/3915. What is the common denominator of l and -169\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 298.77.\nAnswer: -300.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00131853 to six dps.\nAnswer: 0.001319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**4*(o\/(((o*o*(o\/(o\/(o*o\/(o*(o*o*o**9)\/o*o)*o)))\/o*o)\/o*o)\/o))\/o*(o\/(o\/(o*((o\/(o*o*o*((o*o*o**(1\/6)*o)\/o*o)\/o))\/o)\/o)*o))**6 assuming o is positive.\nAnswer: o**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*o + 86064 = -114*o - 44836. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -0.2, -6, -0.3, 5\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0279 + -0.0276107. What is v rounded to 5 dps?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**4 - 19492*c**3 - 430860*c**2 + 489316*c + 900680 = 0 for c.\nAnswer: -23, -1, 2, 4895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 33 - 5 - (-2 + 3). Let v = o + -2. Solve 0 = x - 6*x - v for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -24*v**3 - 1. Determine y(1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 4. Let t be 175\/4 + (-3)\/d. Let z(f) = -f**3 - 10*f**2 - 10*f - 5. Let q be z(-9). Calculate the greatest common divisor of q and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - o + 2*o + 2*o - 3*o + (-2 + 4 + 0)*(2*o + 0*o - o) - 7 + 7 - 10*o)*(-o**2 - 8*o**2 + o**2).\nAnswer: 64*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*p**3 + 48*p**3 - 31*p**3.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30*-4)\/((-424)\/106)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7731793*n**3 - 15463531*n**3 + 7731736*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15.5298 - -0.0298. Which is the biggest value? (a) 0.2 (b) z (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 1032.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ypyppynyyypyy. Give prob of sequence ppp.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4*p. Let v(g) be the third derivative of g**7\/2520 - g**4\/8 + 3*g**2. Let z(y) be the second derivative of v(y). Give r(z(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 12) in base 3?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j = 9*j + 30 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 35*c + 72. Give u(31).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -4*o + 8, 0 = -2*g + 1401*o - 1398*o - 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1099 + 364. Let b = 478.5 + x. What is b rounded to the nearest 10?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*k - 102 = -7*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*b + 2682 - 1115702 = 3200905. What is the hundreds digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q - 1. Let x(z) = -2*z + 8. Let r(l) = -6*i(l) + x(l). Let k be r(6). What is the greatest common factor of 95 and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 410617 is divided by 129?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) + 4 + 0 + sqrt(10)\/sqrt(5) + -4 + 4)**2.\nAnswer: 40*sqrt(2) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, s: 4, w: 1, d: 3, r: 5, g: 5}. Give prob of sequence ddsg.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-176))\/(5 + (-39)\/6).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-243)\/(-2970)*-22)\/((2\/(-2))\/10)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/147, -2\/21, -4\/69 in descending order.\nAnswer: -1\/147, -4\/69, -2\/21, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36672 - 36672 + 1361*c**2 + 619*c**2)*((-3*c + c + 0*c)*(-3*c + 3*c - 2*c) + c - c - 2*c**2).\nAnswer: 3960*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1982)\/(-2) + -7 + -8. Let p = -5845\/6 + k. Are p and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 251\/60 - 27\/20. Let f(i) = 2*i**3 - 6*i**2 + 5*i - 3. Let y be f(5). Calculate the common denominator of c and 9\/(-12)*y\/(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -62?\nAnswer: 3\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 71 = -3*l, 4*r + 5*l - 335 = -0*l. Let s = 562\/7 - r. What is the second smallest value in -3, s, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -0.5, 2\/31, 4\/7, -1.215?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.003 (b) -0.2 (c) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -237.444 + 238. Let t = 2.544 + s. Which is the second smallest value? (a) t (b) 1\/6 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, s: 5, z: 3, p: 2, m: 1}. Give prob of sequence mepz.\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -122112022 (base 3) to base 11\nAnswer: -9668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.4 - -2.9. Which is the nearest to -1? (a) d (b) -0.3 (c) -2.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r + 9*r - 13*r.\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -6*v - 64 + 12 - v. Let j be i(-7). Let s(d) = 18*d**2 - d - 2. List the prime factors of s(j).\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1125 and 0.27?\nAnswer: 1124.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 633683 and 6818589?\nAnswer: 1999","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38103.2988009 + -0.1.\nAnswer: 38103.1988009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5}. Give prob of picking 3 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 - 164 = -5*j. Let x(s) = 537*s - 14455. Let l be x(27). Is j greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 295, 267, 237, 205?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/815616 and -17\/290304.\nAnswer: 17127936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34231541 + 1?\nAnswer: -34231540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 19*k - 61. Let q be h(14). Solve 4*g - 5*t - q = 0, 8 = 3*g - 5*t - 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (10 + -1 - 19).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -b**4\/4 - 13*b**3\/3 - 11*b**2\/2 - 11*b + 6. Let k be j(-12). Put k, 2, -2\/15 in ascending order.\nAnswer: k, -2\/15, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04677 to three decimal places.\nAnswer: -0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 3176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.75 * 5.\nAnswer: 103.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.289 - -28.811. Let n = -29 + f. What is the closest to n in 5, 0, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 9) in base 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 24694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 - -99. What is the remainder when u is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -12 (c) -104 (d) -2\/7 (e) 0.1 (f) -10277\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 2275?\nAnswer: 2275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5572981 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 16*w**2 - 56*w - 132. Let c(i) = i**2 - 2*i. Let q(b) = 12*c(b) - u(b). Factor q(g).\nAnswer: -4*(g - 11)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8195, -65379, -220589, -522839, -1021143, -1764515?\nAnswer: -2801969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6738 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**2 + 9*u - 4. Let l(b) = 5*b**2 + 17*b - 7. Let m(j) = 4*l(j) - 7*x(j). Let k be m(6). Which is bigger: -2 or k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uhuwugueuugg. Give prob of sequence uuh.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108 and 20?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - -4. What is the greatest common factor of p and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/3)\/(114\/(-190))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (728 + 39 - 103 + 296)*(p - 6*p + 2*p - 1) as d*p + o and give d.\nAnswer: -2880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 134 and 3410875530.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 + 51 + 173*z + 18 - 33 + 50)*(-1 + 2 - 3).\nAnswer: -346*z - 258","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 93161863 to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve -8082*f - 3650 = -8009*f for f.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/4 + (-234)\/(-4). Let z be f + (-2 - (1 + -1)). Let q = -25 + z. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 2. Let z be p(-2). Suppose 0 = -2*n + 3*n - z. Suppose 0 = -n*b - 2 + 50. What is the remainder when b is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*n + 29*n + 38*n.\nAnswer: 93*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115082?\nAnswer: 2, 11, 5231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1410231129.09117 + -1410300772. Let h = -69678.91 - f. Let c = h - -36. What is c rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 127 = v, -4*v - 7 = 25. Calculate the remainder when 589 is divided by z.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1119069?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -2 - (8 + -4 + 7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t**2 + 44*t + 36. What is k(16)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/34*7\/((-14)\/(-6)).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -133, -549, -1677, -3871, -7485, -12873, -20389, -30387?\n\"Answer: -59*w**3 - 2*w**2 + 3*w - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92190\/(-39949)*(-13)\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 20*h**2 - 2*h + 4. Suppose -5*v = -2*t - 16, 0*v = -2*v + 4*t + 16. Let n be q(v). Let z = n + 21. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -28*x**2. Let l(i) = 6*i**2 - 6. Give o(l(p)).\nAnswer: -1008*p**4 + 2016*p**2 - 1008","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -19 - (1 - -3 - 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*(-100*c**4 + 81*c**4 - 849*c**4).\nAnswer: 1736*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and -29.15?\nAnswer: 28.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7516 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 1 = -j. Suppose -5*y = -3*q + 28, 17 = 5*q + y - 11. Let h = j - q. Solve -12 = h*w - w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*v - 3*l, 11*v - 4*l + 192 - 195 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 310 + -420532022?\nAnswer: -420531312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6599 - -16132. Let m = -3552 + r. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4*(-6*sqrt(28) + -2))**2.\nAnswer: 768*sqrt(7) + 16197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 5*t + n, -40*t = -42*t + 4*n - 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 + -272?\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4001286 to the power of 1\/3, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*r - 45441 + 44981 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmkzhkvmazvv. What is prob of picking 1 h and 1 k?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -324*t + 6700. Is 5 a factor of y(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 4 + -2 - 0 - (-13 + 9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0, -54 in descending order.\nAnswer: 8, 0, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10349 - 6127. Let f = -4221.99998237 + g. What is f rounded to six dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3*r)*(-4 + 2 - 1)*(-4 + 5 + 1).\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 1 - p**2 + 0*p + 0. Let i(u) = -3*u**2 + 2*u + 2. Determine 2*d(j) - i(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0 = -3*k + 1, 0 = 3*w + 2*k - 12. Suppose -r + 3*l = -136, 0*r - w*l + 586 = 4*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**2 + 17. Let c be ((-2)\/(6\/5))\/(5\/(-12)). Let h(y) = -y**2 - 6. What is c*g(x) + 11*h(x)?\nAnswer: x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -37*t + 66*t - 35*t. Let x(o) be the first derivative of 6*o**2 + 24. Determine x(i(u)).\nAnswer: -72*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -61, -83, -103, -121, -137, -151?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 4*o**2 + 25*o - 69. Give u(4).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/5)\/((-12)\/(-40)). Let d(l) = 0*l**2 - 6 + r + l + l**2. Let q(v) = -v**3 - 4*v**2 - 10*v + 93. Let t be q(3). Determine d(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-4) - 0)*-54. Calculate the common denominator of -47\/20 and o*((-9)\/(-12))\/(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -209, -210, -211, -212, -213, -214?\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37089 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (32\/20)\/(3\/15). Suppose 4*p - 2*w = -p + 12, -3*p + 5*w = s. Suppose c + 820 = 4*g - 3*c, -p*c = 2*g - 434. What are the prime factors of g?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 118*r**3 - 2 - 185*r**3 + 244*r**3.\nAnswer: 177*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/(-98))\/((-36)\/(-14)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*g - 6 - 5, -8 = 4*h + 5*g. Suppose h*c - 526 = 329. Does 20 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 3. Let b = -33.5 - -34. What is the nearest to -1\/3 in 5, r, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 6:32 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2)*m*m**(-2\/9)*m*m*(m**(-3\/7)*m)\/(m**(-6)*m)*((m**(1\/4)*m)\/m)**(4\/19)*(m*(m\/(m*m*m**(-2\/21)*m))\/m*m*m)\/m**(1\/3) assuming m is positive.\nAnswer: m**(1054\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvbb. Give prob of sequence vvb.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -131.\nAnswer: 8\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2773, -2986, -3205, -3430?\nAnswer: -3661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + a**2 + 2*a + 4. What is l(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 (base 9) in base 16?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 71, 136, 201, 266, 331?\nAnswer: 396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-28 + 7 - 10)*(2*z - z + z) to the form h*z + v and give h.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-2)\/3*10\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 6 - 3*x**3)*(-3*x - 2 + 2)*(1 - 2 - 1) to i*x**3 + p*x + t + z*x**4 + a*x**2 and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ce when two letters picked without replacement from xrpacprcpcpaepp?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-2)*(28\/(-36))\/7\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22273 is divided by 22263?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 417 = 2*n - 169. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -104, -106, -72, 10, 152, 366, 664?\nAnswer: 1058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -6*m**2 + 4*m**2 + 14*m**2. Let q(v) = 195*v + 171*v - 371*v. Give q(f(w)).\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6062 + -3658. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 20678*v. Let q(u) = -u. Determine -15*q(n) - w(n).\nAnswer: -20663*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j**2 + 103*j - 941. What is b(17)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a kilometer in centimeters?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) -3 (c) 1\/9 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3615082001 + 25*d**2 - 3615082001 + 7*d.\nAnswer: 25*d**2 + 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/(-5))\/(-2) - 8\/(-20). Let s be 11404048 - (4 + m + -4). Suppose -s = 4*h - 49204050. Round h to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224524 is divided by 2440.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.13 + -0.13. Suppose 0 = 3*v + 52 - 7. Let s be ((-2)\/7)\/(v\/(-7)). Which is the closest to w? (a) -1 (b) s (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 5:14 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -970 - -998. Calculate the remainder when 751 is divided by m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**3 - 13*j**2 - 20*j - 37. What is the hundreds digit of u(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 6:14 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 12 - 39 = 0. Let q(u) = o*u**2 - 4 + 12*u - 13*u + 2. What are the prime factors of q(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(77) - (sqrt(77) - (sqrt(77) + sqrt(77)*2))))\/sqrt(7).\nAnswer: 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 187 by 1.\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12741900 and 156.\nAnswer: 165644700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 7*n**2 - 98*n - 1224. What is h(22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6383, -11250, -16117, -20984, -25851?\n\"Answer: -4867*q - 1516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r - 6. Let o = 31037 - 31043. Let h(q) = -6*q + 7. Let l be (-1 - -2)\/((-1)\/7). What is l*i(d) + o*h(d)?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*q - 12*q + 27. Let g be (3522\/q)\/(4 - (-239)\/(-60)). Let n = g + -563399\/24. Find the common denominator of 5\/6 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.07 > -1195\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -355655\/289784 + 1\/26344. Find the common denominator of 169\/38310 and y.\nAnswer: 421410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 13*b**2 + 13*b - 29. Let v be p(-9). Suppose 164 = -2*o + v. Solve 0 + o = -7*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g + 2*g - g. Suppose -5*f + 5 = -2*q, 0 = 3*f + 2*f - 4*q + 5. Factor 0 + 10*b**2 + 14*b**2 + 8*b + 10*b**f + g.\nAnswer: 2*b*(b + 2)*(5*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 265433 or 5\/84?\nAnswer: 265433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 524.4*-1930.5\nAnswer: -1012354.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 10, 306, 3, -2, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -286, -1177, -2668, -4759, -7450, -10741?\n\"Answer: -300*d**2 + 9*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-24)\/(-40) + 2*102\/200 and -33\/2.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -793 + -37?\nAnswer: -80a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/252 and -40\/1316907.\nAnswer: 36873396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**2\/7 + 32*w - 30720\/7 = 0. What is w?\nAnswer: -120, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7879 and 0.1265.\nAnswer: -7878.8735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(2\/15)))**(-33) assuming z is positive.\nAnswer: z**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 9113982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 4*v. Let y be z(5). Suppose -20 = -0*j - y*j. Sort 5, j, 2.\nAnswer: 2, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3063637 by 2671.\nAnswer: 1147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -12 + 28 - (8 - -7 - 12).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - j**2 + 1. Let c(g) = 3*g**4 + 7*g**3 + 14*g**2 - 12*g - 17. Let a be 3 + -3 + (-2)\/(-2). Let x(i) = a*c(i) + 5*o(i). Factor x(d).\nAnswer: 3*(d - 1)*(d + 1)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 117 = -4*p, 3*y = -4*p - 18 + 147. Let s = p + -32. Which is the second smallest value? (a) 1\/3 (b) -1\/2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-1 - (-2)\/(-4)). Suppose -5*y - 3*u = 2*u, -14 = -3*y + 4*u. Let c(k) = 3*k**q - 2*k + y*k. Let m(v) = -2*v**2. Give m(c(n)).\nAnswer: -18*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 621 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 165, 2 in ascending order.\nAnswer: -3, 0, 2, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 56237278 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*c**3 + 508*c**2 + 1880*c + 672.\nAnswer: 4*(c + 4)*(c + 21)*(5*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6113250 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-2))\/(15\/2)*(-40 + 50). Sort 12, -78, p in descending order.\nAnswer: 12, p, -78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12 - 2*m**5 + 12 - m**5 + 10*m wrt m?\nAnswer: -60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 + 165 = 7*z. Let i(f) = f**3 - 9*f**2 + 8*f - 5. Calculate i(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/11)\/(-5 + 8 - 2).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*3 + -3 - (sqrt(1053) + (sqrt(1053) - (sqrt(1053) + -2 - sqrt(1053)))))**2.\nAnswer: 150*sqrt(13) + 2950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28744, 115039, 258884, 460279?\nAnswer: 719224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 1 + 0*m - 1 - 3*m + m**2. Suppose 13*u = -40*u - 106. Let d be z(u). Which is bigger: d or 12\/11?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/7))**(-1\/36)\/(t**2)**(-4)*(t*t**(-2\/13))\/t**(-1\/6)*(t**(1\/4)\/t)\/t**(-6) assuming t is positive.\nAnswer: t**(46751\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 o, and 2 s when four letters picked without replacement from {o: 6, q: 3, s: 8, v: 2}?\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s + 2*c = -136, 4*c = 90*s - 93*s + 70 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17*q**2 - q - 131 wrt q?\nAnswer: 34*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*o + 14*o + 4453 - 1023 = 0 for o.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -7 + ((-10)\/(-15) - (-12)\/9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 26 - 32 = 0. Let q = -25 - r. Suppose 3*a + q = 4*a. Solve -3*k + 4*p + 10 = -p, 0 = a*k - 4*p - 16 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -492 - 950?\nAnswer: -de2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 785 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3 - 16. Solve -d = -3*u + 7, -u = -4*u + 4*d + c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -155 (b) 0.5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2. Let t(z) be the second derivative of -z**4\/12 - 28*z. Give l(t(x)).\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 33 = 12. Suppose 3*q = -5*h + 67, 4*h - q = -4*q + 56. What is the smallest common multiple of h and w?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l**2 + 2*l - 4. Is h(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 9*v**2 - 11*v - 10. Let g be o(-8). Suppose 0 = -10*n + g*n - 12. Suppose f + 3*j - j = 65, 2*f + n*j = 129. 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: Let q be (-4332)\/(-16) + 9\/4 + -2. Let f = q - 451. Let i = f - -379. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 5, 4 in ascending order.\nAnswer: 0, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/2*(-18)\/24.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 1:25 PM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 64, -0.3, 0.23, 7, 0.3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.8*1.192.\nAnswer: 6.9136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4*f + 41 + 6 = 0, -4*f - 40 = -4*b. Suppose 3*o + 7 = b*o - 3*y, -2*y = -5*o. Let c = -0.3 - -0.8. Sort 1, c, o in decreasing order.\nAnswer: 1, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5894526.\nAnswer: 2, 3, 11, 31, 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - h + 9 = 0. Suppose 5*r - 8 + 3 = -5*z, -h*z - 5*r = -11. Let s(o) = -5*o + 0 - 6 - o**2 + 3 - o**2. Determine s(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 3 + 1)*(6*g + 9*g - 5*g) + 0 + 3*g + 0.\nAnswer: 113*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/(-1820)*13*10\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 g when two letters picked without replacement from {a: 2, c: 1, g: 1, z: 2, v: 1, e: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 523 is divided by 102.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17212 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -145 (base 8) to base 14.\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 54020 in ascending order.\nAnswer: -4, 3, 54020","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/6*2\/26. Let d(v) = -v**3 - v**2 + 2*v - 1. Let g be d(1). Let i = -0.31 - -0.01. Which is the third biggest value? (a) i (b) f (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wzlllzwllwwlwllwl.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-4))**(1\/3))**(3\/4))**(-21) assuming r is positive.\nAnswer: r**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -25*c - 284. What is t(-11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0023 + 3.9977. What is the closest to 0 in -0.5, -8, -2\/9, k?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 500\/3625*95265\/(-90)?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10370 * 56.\nAnswer: -580720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 3375*s**4 - 116775*s**3 - 47070*s**2 - 6292*s - 280 = 0. Calculate s.\nAnswer: -2\/15, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s. Let t(u) = -10 - u + 11 + 0*u + 16. Calculate q(t(y)).\nAnswer: y - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1081 + -730. Let u = h + -400.2. What is u rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 118382860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of b**4\/4 - 2*b**3\/3 - b**2\/2 + 2*b - 6. Let w be j(3). Calculate the highest common factor of w and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52499 - 32571 = -1810*u for u.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v - 253. Let m be z(0). Is m not equal to -254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - -11. Suppose -4*h + 40 = -v. What is the remainder when 25 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3980 + 6785*u + 3980)*(1 + 2*u - 1) to the form v*u**2 + l*u + p and give v.\nAnswer: 13570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41*x**6 + 27*x**6 + 0*x**2 - 2*x**2 - 146*x**6 + 1 wrt x.\nAnswer: -19200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 4:15 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -1\/7 (c) -67492328\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13475358 and 0.5?\nAnswer: 13475358.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t + 3*t + 4 + t - 4.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**9)\/p**(-2\/31))\/(p**(-1\/11)*p*(p**(1\/4)\/p)\/p)*(p**(-1)\/p)**(-8\/11)*(p*p**(-2)\/p*p)\/p**(3\/11) assuming p is positive.\nAnswer: p**(15123\/1364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 34 = -3*v. Suppose y + 9 = o, -y - 10 = v*o + 4*y. Let s(l) = 11*l + 22. What are the prime factors of s(o)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14235361867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*g - 27 = 0, 3*p - 6 = 2*g + 12. Suppose 3*a + 34 = p*a. Calculate the highest common divisor of 51 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7*(-4)\/(-14)*(-30)\/4. Suppose -18*m + 3*p + 378 = -q*m, 5*p = -4*m + 531. What is the remainder when m is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -315.6 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -93794 - 4*a + a**3 + 93781 + a**3 - 2*a**2 as b + j*a + l*a**3 + r*a**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 8*f**2 + (37 - 21 + 87)*(4 + f**2 - 4) - 4*f + 4*f + f**2.\nAnswer: 112*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*f**4 + 2*f**4 + 2*f**4)*(f - 4*f + 5*f) + (6*f**2 - 6*f**2 - 7*f**4)*(-10 + 4*f + 10).\nAnswer: -6*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 602501 + 5?\nAnswer: 602506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 186.989um to meters.\nAnswer: 0.000186989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u. Let b be m(-1). Let w be 2\/(-6) - (-7)\/3. Let c(y) = 2 - 3*y**w + 3*y**2 + 4*y + y**2. Give c(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -2 - -1) + 12. Let x be -12*(g\/(-6) + 2). Let d = 0 + 1. Which is the nearest to -1? (a) d (b) 2\/9 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40911 is divided by 20453.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + i + 1. Let h be 3*-4*(-2)\/(-24). Let x(r) = -20*r**2 - 3*r - 1. Let k(c) = h*x(c) - 4*w(c). Find the second derivative of k(z) wrt z.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10183 is divided by 424?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -432*w**4 - 47448*w**3 + 55869*w**2 - 8322*w + 333 = 0.\nAnswer: -111, 1\/12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 192712976 to the nearest integer?\nAnswer: 13882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1610 + -842. Let p = m + -761. Solve -1 - 6 = p*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2045300 - -142?\nAnswer: -2045114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1522 by -1426.\nAnswer: 761\/713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/10927 and 53\/599424?\nAnswer: 4195968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 12:57 PM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1161, 1988, 2815, 3642, 4469?\nAnswer: 5296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by 4\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**1*((((r*r**(-1\/2))\/r)\/r*r)\/r)\/r)\/(r\/r**(-3)*r**(-4\/7)))**(-20))**(-1\/13) assuming r is positive.\nAnswer: r**(-550\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 584475 + 587354 = 104*q + 23*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 228019.\nAnswer: 91207.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by (66\/4)\/((-4)\/(-8))?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 8*p - 3. Let l = 13 + -21. Let v = l + 15. Does 18 divide x(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 307*j**3 - 4*j**2 + 2*j. Suppose 4 = 4*b + 4*c, -4*b - 3*c = -5*c - 4. Does 39 divide n(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*d + 82 - 82)*(-3 + 2 + 0) + 0*d - 2*d + 3*d)*(-70*d - 8*d - 9*d)*(-2*d - d + 5*d).\nAnswer: -696*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 19 = 2*p. Is (-6114)\/p - (-50)\/30 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59336 is divided by 59274.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Work out -20032.478 + -496.672.\nAnswer: -20529.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f**2\/9 - 20885074*f\/9 - 83540312\/9 = 0. Calculate f.\nAnswer: -4, 20885078","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 8, 2 in increasing order.\nAnswer: -4, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 267940931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3807 - -5.\nAnswer: 4.6193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*r - 3*k = -22*r, 2 = 2*r - k for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 75*a + 299*a**4 + 2 - 297*a**4 - a**2 - 1 in the form w*a**3 + t*a + i + s*a**4 + n*a**2 and give t.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138964.\nAnswer: 2, 7, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48.3 or 4\/149777?\nAnswer: 4\/149777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of j**6\/120 + j**4\/24 + j**3\/6 + j**2. Let g(r) = 4*r**3 + r. What is -g(z) + w(z)?\nAnswer: -3*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11820679 to the power of 1\/3, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 659033.\nAnswer: 769, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.1803 to 0 decimal places.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/153214125 and -113\/40857100.\nAnswer: 612856500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 4*i**5 + 11660*i**4 + 104704*i**3 + 255728*i**2 - 128*i - 371968 = 0.\nAnswer: -2906, -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*q + 5*y = 273*q - 136*q + 619, q = -2*y + 10 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13792 by 219.\nAnswer: -13792\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-28 - -13 - -13)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**3)**(-4\/9)*(b\/(b**1*b))\/((b*b\/b**(-7\/3)*b)\/b))**(-9\/11) assuming b is positive.\nAnswer: b**(60\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-112133.86\nAnswer: 33640.158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*b + 50 = -78, -4*s = -b - 163. Suppose 0 = -s*f + 37*f + 4996. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2876 + -2840. Calculate the highest common factor of b and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 253 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3059 + -2?\nAnswer: 3057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -54, -230, -522, -930, -1454, -2094?\n\"Answer: -58*r**2 - 2*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2 + sqrt(5))**2 + -3*(sqrt(40)\/sqrt(8))**2 + sqrt(5).\nAnswer: -5*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 75\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -633\/4 - -159. Let m = 23 - 27.56. Let a = m - -4.66. Sort g, -0.4, a, 0.2 in ascending order.\nAnswer: -0.4, a, 0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -748 - 4209.84219\nAnswer: -4957.84219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1209320495 rounded to four dps?\nAnswer: 0.1209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s - 30 = 27. Suppose 2*m = 27 - 11. What is the remainder when m is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 0 = 77. Suppose -4*x - 1 = m. Does 20 divide 365\/6 - x\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + -4*sqrt(1331)*-2 + sqrt(1331))**2 + (sqrt(1331) - (-4*sqrt(1331) + sqrt(1331)))**2 + 0 + 0.\nAnswer: 154396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -15*a**3 + 5*a**2 + 8*a + 5. Let o(w) = 23*w**3 - 8*w**2 - 12*w - 8. Let y(g) = 5*o(g) + 8*v(g). Find the second derivative of y(i) wrt i.\nAnswer: -30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**5 - 416724*j**4 + 14467406412*j**3 + 289486496640*j**2 + 984323774208*j + 926447480832 = 0. Calculate j.\nAnswer: -16, -2, 69464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-6*(1 + sqrt(833) + 4 + sqrt(833) + sqrt(833)) - (sqrt(833) + 2*(sqrt(833) + (-2 + sqrt(833) - sqrt(833))))*-3))**2.\nAnswer: 47628*sqrt(17) + 623133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4*f)**(-24)\/(f**0\/((f*(f*f*f*f\/(f*f**(-2\/31))*f*f*f)\/f)\/f)) assuming f is positive.\nAnswer: f**(-3563\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 - 159186*v - 44889188.\nAnswer: 2*(v - 79874)*(v + 281)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**3 - 2*j**2 - 4*j - 3. Let k(i) = -i - 1. Let d be k(1). Give r(d).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5910*k**2 + 2981*k**2 + 2985*k**2.\nAnswer: 56*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*b + 6. Let o = 5 - b. Suppose 115*j + 60 = 120*j. What is the lowest common multiple of j and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**2 - 5*o**3 + 4*o**3 + o**2 + (4*o**2 + 3*o**2 - 2*o**2)*(3*o - 2 + 2) - 3 + 3*o**3 + 3 as c + h*o**3 + y*o**2 + l*o and give h.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8446 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6d4694 (base 15) to base 3.\nAnswer: 100211200100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -932376172*c**5*x**2 - 13*c*x**2 - 15414*c*x - 2*x**2 + 8 wrt c.\nAnswer: -18647523440*c**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = 2*s + 2*y - 211, 5*s = -y + 730. Let k = s + -84. Calculate the highest common divisor of k and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1\/5 (b) -60716 (c) 53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 88 - 438\/5. Let g = -0.09 + -0.085. Let k = 0.225 - g. What is the closest to r in k, 4\/7, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/(-14) + 0)*7. Let o = 6 + u. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.07 (b) -0.7 (c) -2\/7 (d) 1\/3 (e) -1 (f) 206\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by (135\/(-6))\/(-5)*2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + 3*i = 12, i + 16 = 5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 75?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w**4\/7 - 52*w**3\/7 - 44*w**2\/7 + 20*w\/7 + 24\/7 = 0 for w.\nAnswer: -3, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/12 + (-211)\/105. Let w = x - -36\/5. Calculate the common denominator of (80 - 44 - 48)*(-4)\/27 and w.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13006 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -180 (c) 233 (d) 5 (e) -3 (f) 0.5 (g) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3759 - -5910. Calculate the lowest common multiple of q and 21.\nAnswer: 15057","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2861554 is divided by 65035.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9222 and 18.\nAnswer: 27666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnyy when four letters picked without replacement from yynnnnnnn?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 0.5, -2\/9, -80, 5\/2, 179\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 91483192 to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/(w\/(w**(-2\/9)*w))))\/w)\/w**(4\/3))**(-2\/3) assuming w is positive.\nAnswer: w**(38\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -0.21 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17 and -357.\nAnswer: 6069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millennium in years?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.3 in 2\/21, -22, 0.5?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(1353\/12540 - ((-72)\/160)\/9)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, -2, 1 in decreasing order.\nAnswer: 1, -2, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -4071?\nAnswer: 406f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2 - 6*h + 13. Determine a(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24500*z + 3660 = -24622*z for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(25)*1 - 1*sqrt(400))\/(-1*sqrt(125) + sqrt(35)\/(-2*sqrt(7))))**2.\nAnswer: 180\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -8 - 12. Suppose 6*v - n*v + 360 = 0. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 192 = -0*r. Suppose -k = 4*y - 14, -3*k - 3*y - 4 = -1. Let x = 6 - k. Calculate the greatest common factor of x and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -2.5. Let r = 0.0356 + 0.1734. Let v = r - 2.209. Sort 2, v, b.\nAnswer: v, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1308 divided by 12?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -778*o + 375*o + 4*f = -401*o - 42, -2*f = -5*o + 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 7*l. Let n(i) be the first derivative of 23 + 1\/12*i**4 + 0*i + 31\/2*i**2 + 0*i**3. Let m(g) be the second derivative of n(g). Give m(q(t)).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4566 (base 7) to base 2.\nAnswer: -11010000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/((i\/i**(-4))\/i*i))*i**(-2\/13))\/((i\/i**(2\/3))\/(i\/(i*i**6*i))))**(5\/2))**(3\/10) assuming i is positive.\nAnswer: i**(-97\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 244724994 to the power of 1\/2, to the nearest integer?\nAnswer: 15644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 389200*w**2*z - 129059*z wrt w.\nAnswer: 778400*w*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2 = 1. Sort -4, -1, v in decreasing order.\nAnswer: -1, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(162) + (sqrt(162) - (sqrt(162) + (sqrt(162) + sqrt(162)*1)**2)))*2 - (1*(sqrt(288) + sqrt(288)*-2*2))**2.\nAnswer: -3883 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.468 (b) 9 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 63055 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + (-14 - (-6 - 11)) - 11.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 5*b**2 - 360*b - 109040 = 0?\nAnswer: -116, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -6633.516524 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and 799962.\nAnswer: 799957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - -2 - ((-7 - (-38 + 27)) + (-2 - -8))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 0*g**2 + 21 + 0*g**6 + 2\/21*g**7 + 23\/6*g**3 + 29\/56*g**8 + 1\/4*g**4 + g + 0*g**5. Find the third derivative of k(q) wrt q.\nAnswer: 3480*q**3 + 240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 8. Suppose -l*g + 7*g = 135. Suppose -3*t = 2*r - 3 - g, -2*r = 2*t - 34. Does 8 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -47*d**2 + 6*d + 5. Let l(h) = -48*h**2 + 7*h + 7. Let c(w) = w**3 + 5*w**2 - 24*w + 2. Let r be c(-8). Let x(n) = r*l(n) - 3*y(n). Is x(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*w + 0*w + 2*w - 5*w**4 - 2*w wrt w?\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 602 + -314. Calculate the common denominator of ((-1311)\/r - -4) + (-22)\/(-11) and -131\/156.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-8) - (-74)\/8. Let n = -12 + 11. Let d be n + (-2)\/(-6) - 136\/(-24). Solve 2*j + 3*a + q = -0*j, 2*j = a - d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d**(-14)*d)\/d)\/(d*d\/(d*d\/(d**20\/d))))\/(d**(1\/5))**(-24) assuming d is positive.\nAnswer: d**(-136\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 4067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*j + 101 - 27 = 0, 4*j = -5*z + 106. Calculate the highest common divisor of 54 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(24) + sqrt(216))\/sqrt(12) + (1*sqrt(162) - sqrt(162)) + -4.\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.255 + -7950.2\nAnswer: -7949.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u. Suppose u = 8*j - 4*j. Solve -3 = -c - x, 11 = -3*c + 2*x - j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68.11 + 68. Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/6726 and 1\/6?\nAnswer: 6726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 109203229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.24 - -1.18. Which is the closest to 0.1? (a) x (b) -7 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q**3 + 13582*q**2 - 17*q - 164. Let d(i) = i**3 - 3395*i**2 + 4*i + 41. Let b(z) = 50*d(z) + 12*h(z). Find the second derivative of b(m) wrt m.\nAnswer: 12*m - 13532","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*c = -315*c + 2*z + 14, 6 = -3*z for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*i + 2*s + 36 = 100*i, 5*i = -5*s + 10. Solve -r = 4*o - 4, 0*o - i = o + 3*r for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9760581.\nAnswer: 3, 4463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -65 + -2 - (-6878 + 6871)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in -3, 5, 20, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 2*r**5\/15 + 7*r**3\/6 + 3088*r**2. Let v(f) = 7*f**2 + 6. Let z = -8 - -1. What is z*v(s) + 6*b(s)?\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2264, 4226, 6186, 8144?\n\"Answer: -c**2 + 1965*c + 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(432) + -2*sqrt(75) - (1*sqrt(27) - sqrt(300)*-2))*3)**2.\nAnswer: 2187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p - 11. Let h be q(7). Suppose -7*t - h*y + 214 = -2*t, 5*t = 4*y + 228. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32 - -4041555?\nAnswer: 4041523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -588292, -588226, -588040, -587674, -587068, -586162, -584896, -583210?\n\"Answer: 10*j**3 - 4*j - 588298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*sqrt(480)*-5 - sqrt(480)) + sqrt(480))\/(3*sqrt(640)*1))**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.59 + -427.41. Let h = o - -427.803. Let v = -17.597 - h. What is v rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*h = -9, 0*h + h = 2*w - 8. Suppose 2*z = -z - 5*n + w, -25 = -2*z + n. What are the prime factors of z\/4*(-624)\/(-30)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 48 = -0*s. Suppose -x + s = -3*x. Is x\/(-21) + (-276)\/(-14) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 14*r**2 + 7*r - 33. Let o be a(15). Which is bigger: -154 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z**2 + 2*z**2 + z**3)*(19 - 19 + 13) + 0*z**3 + 2*z**3 + 4*z**3 in the form i*z**3 + t*z + p + w*z**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 19 in descending order.\nAnswer: 19, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**2\/6 + 257*x\/6 + 2201 = 0.\nAnswer: -186, -71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50453504 divided by 64.\nAnswer: -788336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 695\/417*2*6\/70.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.7 in -156, 1\/3, 1.226?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -p**5\/70 + p**4\/21 + p**3\/7 + 18*p. Suppose w(v) = 0. What is v?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1, -3, 11.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-1))**(-3\/7)*((j*j*j*j\/((j*j*j**0\/j)\/j)*j)\/j)**(3\/25))**42 assuming j is positive.\nAnswer: j**(504\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*o + 2*o + 47*o + (24 + 27 - 12)*(-4*o - 4 + 4) - 4*o + 3*o + 2*o.\nAnswer: -116*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 18170, 35524, 52876, 70226, 87574, 104920, 122264?\n\"Answer: -g**2 + 17357*g + 814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64892 is divided by 451?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/3))**4)**26 assuming a is positive.\nAnswer: a**(-208\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 9*-814\nAnswer: -7326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 47\/9 (c) -5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -12*r**3 + 3*r**2 - 78*r + 9. Give c(-8).\nAnswer: 6969","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -68697 divided by -17\nAnswer: 4041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*i + 4 = -0*i, 0 = 4*x + 3*i + 11. Let s be (-2757)\/(-14) + 4 + 0. Let v = s - 201. What is the nearest to v in 5, 0.1, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 7:35 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*(sqrt(275) - sqrt(275)*-1) - (-1 + (sqrt(275) - -2*sqrt(275))) - (-5*(0 + sqrt(275) + sqrt(275) + 2) + -3)**2).\nAnswer: -27671 - 1305*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 125*t + 7. Let i(s) = 62*s + 3. Let c(p) = 3*b(p) - 7*i(p). Is c(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 18*b**2 - 21*b**2 - 3*b + 2*b**2. Let g(v) = -v**2 - 4*v. Let u(q) = 3*g(q) - 4*k(q). Let r(j) = 2*j**2 + 32*j. What is u(r(n))?\nAnswer: 4*n**4 + 128*n**3 + 1024*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1356391.15+2\nAnswer: 1356393.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 116241 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/4*(24 + -22). Suppose q*m = -4*k - 20, 5*k + 0*m - 6 = 4*m. Let p(z) = 0*z + 7*z - 3*z + 2. Give p(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -5*c + 1014, -17*a - c = -20*a + 770. Suppose 5*u - a = 89. What are the prime factors of u?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 79046*j - 8616005. Give c(109).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 824.04 rounded to the nearest ten?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 1. Let b(x) = 13*x + 8. Let d be (-1)\/(14\/(-70)) - 3\/(-3). Calculate d*c(q) - b(q).\nAnswer: -13*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 - -6 - (1 + -2). Let y be (-16)\/(z*2\/(-8)). Suppose -5*k = -66 - y. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 598834.704 to the nearest 100.\nAnswer: 598800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 174.179 - 0.219. Let y = g + -174. Sort y, -2, 0.4, 3.\nAnswer: -2, y, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-5 - -29) + 105\/18. Let g be 2\/(9\/(81\/p)). Which is the closest to -1? (a) 2\/9 (b) 1 (c) 20 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 18*k + 2. Let f = 4 - -1. Let x be v(f). Let p = -60 + x. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49.08 - 50.08. Let l = 231\/5 - 1637\/35. Sort l, i, -0.01.\nAnswer: i, l, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 128 + -122. Put 2, 1, s, -0.1 in decreasing order.\nAnswer: s, 2, 1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-26 - -10) - (-5 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/12 - (-6)\/(-72). Which is bigger: -3\/584 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 + -38 + 67)\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - 57. Let j = r - -60. What is the tens digit of (j + 245\/(-4))\/((-87)\/232)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28733680 by -10.\nAnswer: -2873368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 33836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*(1 + (2 + sqrt(288))*-4 - ((sqrt(2) + 0 + sqrt(2))*-4 + -2*(sqrt(2) + 0 + sqrt(2)))))**2.\nAnswer: 50400*sqrt(2) + 264100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*g**2 - 12\/5*g - 2.\nAnswer: -2*(g + 1)*(g + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 959 by 31.\nAnswer: 959\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/4292 and 7\/32944.\nAnswer: 1218928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 15) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10.019 times 73\nAnswer: 731.387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a centimeter in micrometers?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**3 + 6*y**2 - 6*y - 6. Let j = -163 - -165. Let i(c) = j*c**3 - c**3 + 7 + 3*c**3 + 560*c - 7*c**2 - 553*c. Determine 6*i(g) + 7*o(g).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200014?\nAnswer: 2, 97, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2093219.\nAnswer: 2093219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -51*w. Let a(y) be the third derivative of y**5\/20 - 120*y**2. Determine a(q(j)).\nAnswer: 7803*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(((-1)\/2)\/(29\/(-522))).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/(-30))\/((-22)\/12). Which is smaller: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2458 - -2458. Solve g = -12*p - 30 + 54 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 4. Suppose 0 = 2*q - 1 - 3. Suppose 3 = -5*v + 5*z + 33, 2*z = v - q. Solve 5*g = -k - v for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 2*p - 32, -3*x + 0*p + 15 = 3*p. Suppose t = 2*i, -10*t + 12 = -x*t - 2*i. Solve j + 8 = t*a - j, -4*a = j - 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/615 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8042 + -868547\/108. Let t = i - 4\/27. Let j be -2 + 3 + (0 - -1). Which is the biggest value? (a) j (b) 0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + (-2 + 1)*3. Suppose h*t - 6 + 0 = 0. Solve -2*c + 15 = 3*c, -i + 11 = t*c for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 3, -2, -11 in descending order.\nAnswer: 3, 0, -2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 6 = -2. Let r be 2*(4\/(-8)*0 - -1). Is z smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of s**6\/120 + 7*s**5\/30 + 5*s**4\/8 + 14*s**3\/3 + 19*s**2. Let r be h(-13). Solve -5 = 3*k + r*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (66\/24)\/(3370\/3368 - 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1728 and 736?\nAnswer: 39744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.3 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, -0.302, 4, -5\/6, 0.7, 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45243 + -19639. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -81*b + 83. Give r(3).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 64793344 to the power of 1\/3, to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - 2*o - 33 + 43, 5*o = -3*g + 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*y - 1551 + 115 = 27 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 9:35 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, s: 1, i: 1, y: 9}. Give prob of sequence syy.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.2 - -0.2. Let i = 1\/7 - -4\/21. Which is the nearest to 0? (a) i (b) y (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4 + (11388\/(-10764))\/((-2)\/3)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.014299 to four dps.\nAnswer: 0.0143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*l - 50*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 11:01 AM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -98 + 51. Let b = v - -44.64. Round b to one dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2491 and 25709.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134222 to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3*(1 + sqrt(1100) + sqrt(1100) + -3*(sqrt(1100) + 0)) - (-1*-2*(sqrt(1100) + 1) + 2)))**2.\nAnswer: 400*sqrt(11) + 110004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -22 - 15e9a?\nAnswer: -15ebc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 - -39. Suppose y - q = 8, g*y + 3*q - 39 = -y. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19855 (base 13) to base 3\nAnswer: 2112020211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 - (-5 + 5 + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 11*b**2 - 310*b + 56. Calculate r(28).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 18. Suppose 6*l = l + 5*b + 55, 2*l - p = -5*b. Solve -3*q + 4*f = -l, 0 = -5*q + f - 4*f - 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 756282?\nAnswer: 2, 3, 126047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(48)\/(sqrt(48)\/sqrt(4))).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 2, 17, 0.2, 2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.1, 6, -9, 0.5, 7.9 in decreasing order.\nAnswer: 7.9, 6, 0.5, 0.1, -0.1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g**3 - 5*g**2 - 4*g - 4. Let v be r(-2). Suppose -19*h + v*h + 3388 = 0. Is 28 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1)**(-46)\/((d\/((d\/((d**(-4)*d)\/d*d))\/d))\/(d*d**(-2\/7)*d*d)) assuming d is positive.\nAnswer: d**(-289\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*s. Suppose 2*f = -u + 16, -5*u + 2*f + 38 + 42 = s. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3982, 3983, 3986, 3991, 3998, 4007, 4018?\nAnswer: 4031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -191144*r - 3058330. Give f(-16).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 331 (c) -4 (d) 1\/9 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 9:39 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 29*d - 27*d - 429 = 0, 0 = j - 3*d - 409. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.06, -0.23, 0.7, -0.2, 14\/3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59039 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 162, 81 in increasing order.\nAnswer: 5, 81, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 148146 * 0.2.\nAnswer: 29629.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59967805, 119935612, 179903419, 239871226, 299839033, 359806840?\nAnswer: 419774647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(5) + -2) - (sqrt(500) + -3)**2.\nAnswer: -499 + 55*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 4*m**2 + 5*m + 4. Let q be -4 + -7 - (36 + -43). Let v(p) = p**2 + p + 1. Give q*v(g) + l(g).\nAnswer: -g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 4*y + 1. Let c be j(-4). Suppose s = -0*s - c. Is 1\/6 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -674*f + 98 = -660*f. Let s = 17 + 28. Let o be ((-105)\/s)\/(1\/(-6)). Solve 0 = -x - 3*b - 8, f*b + o = 5*x + 4*b for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (117 - 246 + 120 - 4*p**2)*(3*p - 7*p + 5*p).\nAnswer: -4*p**3 - 9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(20) + -2.\nAnswer: -6 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2455?\nAnswer: 5, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 1. Let z(u) = -2*u**2 + 2. Let p(m) = 4*n(m) - 2*z(m). Find d, given that p(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2 = q - 0*q, -3*u + 10 = 5*q. Suppose 0 = -5*l - 3*s + 22, l + q = s - 0*s. What is the highest common divisor of 16 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 163724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 4*c + 244, -k + 0*k - 3*c + 51 = 0. Let b = 80 - k. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -620 - -617. Let c = 0.056 - -6.244. Let m = c + -1.3. What is the second biggest value in s, m, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 23 - -28*1\/(-4). Suppose 4*q + g = 0, y - q - 19 = 3*q. Solve -2*l - 25 = y*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*q = -235*q - w + 1, -2*q = w for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 17\/(-38) + 165\/(-3135). Which is the third smallest value? (a) -13 (b) 1 (c) j (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ele when three letters picked without replacement from llllellllle.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3162 and -1203968892?\nAnswer: 1203965730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/2*60*1. Find the common denominator of 8 and 3\/z*1*-3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 26 - 70 - 34 - 40 = 7*u, 3*u = -15 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45142 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**5 - 96*c**4 - 160*c**3 + 9784*c**2 + 22236*c - 80920 = 0.\nAnswer: -7, -5, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wjwjjjx. Give prob of sequence xwj.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0 - -3) + -15 - -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62 - 49. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 317, 1264, 2853, 5090, 7981, 11532, 15749?\n\"Answer: u**3 + 315*u**2 - 5*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 + 8 - -1)*52\/(-6). Which is the second biggest value? (a) 5 (b) i (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**5\/60 + t**2. Let d(n) = 14*n**2. Let a(w) = -168*w**2. Let j(f) = 4*a(f) + 49*d(f). Determine j(k(h)).\nAnswer: 14*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12995 + -3973. What is the thousands digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2 - 307*d - 2522. What is q(-8)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -2\/5 (c) 1 (d) -1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 4*a**2 + 8*a - 9. Let z(m) = 199*m + 204. Let o be z(-1). What is s(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6179 - -6452. Calculate the remainder when j is divided by 73.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s. Let z = -321 - -320. Let f(c) = -21*c + 3. Give z*f(g) + 18*d(g).\nAnswer: 3*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1116 - -76?\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -29214, -58385, -87552, -116715, -145874?\n\"Answer: 2*z**2 - 29177*z - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + -3 + -3 + -5 - -9) + -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1489, -4141, -8561, -14749, -22705, -32429, -43921?\n\"Answer: -884*b**2 - 605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 0.9\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 29605680 divided by -78\nAnswer: -379560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -222, -172, -186, -348, -742, -1452?\n\"Answer: -14*q**3 + 52*q**2 - 8*q - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 2:18 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 79*f*m + 10047*f - 63*m - 112971 wrt f.\nAnswer: 79*m + 10047","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 45429507 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-24))\/(14\/(-8)). Let q = -0.04 + -0.96. Let l = q + 0.8. Which is the smallest value? (a) l (b) p (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 12 + (55 - (-10 + -7)) + -1 - 12.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + -0.4. Let r = -1\/128 - 237\/2432. Let h = 379\/3 + -6449\/51. Which is the nearest to -0.1? (a) z (b) r (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 203*y**2. Let q(a) = -a**2. Give q(h(v)).\nAnswer: -41209*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = 5*m, -42*m = -5*d - 46*m + 64 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -17, 3, -1 in descending order.\nAnswer: 3, 1, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 + -73. What is the least common multiple of -1 + 2 + -2 - -21 and q\/(-4) + 3\/(-12)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22*(-88)\/(232320\/180)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2 - 1 + 0 + 69*a.\nAnswer: 69*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -352 - -1148. List the prime factors of s.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 977400?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4918667802.455 + -17.\nAnswer: 4918667785.455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -2, -1.591 in descending order.\nAnswer: -3\/5, -1.591, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122\/((-6)\/7*13\/((-1053)\/9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4312 and 693?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1729 divided by -4.\nAnswer: 1729\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 15*u**4\/4 - u**2 - 6. Find the second derivative of h(f) wrt f.\nAnswer: 90*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - 0.2. Let v = -70.8 + 60. Let j = 11 + v. Which is the nearest to l? (a) -4 (b) j (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.19, 0, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1647992 = 208*b - 587656 + 444144. What are the prime factors of b?\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 t, and 1 p when three letters picked without replacement from {p: 3, z: 3, t: 1}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*f**3 + 69*f**2*l**3 - 20415*f**2*l - 1479*f*l**3 - 3*f*l**2 - 2*f - 47*l**3 + 19*l wrt f?\nAnswer: 36*f + 138*l**3 - 40830*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 + 39*x + 170. Let t be r(-29). Let s = -646 + t. What is the greatest common divisor of s and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-9)\/30)*6. Suppose 80 = v*c - 16*c. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and 1.9?\nAnswer: -15.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 127654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.75692626 + 1.757. Round y to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 11*o - 95. Let r(y) = 16*y - 95. Let x(u) = -4*p(u) + 3*r(u). Let t be x(-23). Solve 2*f - 2*j + 0*j = -6, -2*f + t*j - 5 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/((-8)\/(-2)))\/(1*(-4)\/16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 + 116*z + 8645. Is y(-97) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124941 is divided by 1983?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 277376 (base 9) to base 14.\nAnswer: 45a6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/22716232 and -31\/25961408.\nAnswer: 181729856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 35, -1, -1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48476 divided by 48476.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 0*u + u)*(-13*u**4 + 6*u**4 - 34*u**4)*(-1 + 1 + 2).\nAnswer: -164*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m + 5 + 7*m**2 + 9*m**2 - 4 - 14*m**2 as y*m + r + x*m**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 743342762 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -566239*a. Let h(l) = 2*l. Calculate h(q(i)).\nAnswer: -1132478*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -747 - 880 - m + 2276 - 915 to r + g*m and give r.\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 471 = q - 3*k, -q - 1423 = -4*q + 4*k. What are the prime factors of q?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 a when three letters picked without replacement from {h: 3, a: 6, p: 9, d: 1}.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2637*z - 1297. What is i(-1)?\nAnswer: 1340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3)*r**5*(r\/(r**(1\/4)\/r))**(-4\/3) assuming r is positive.\nAnswer: r**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-528828)\/1735)\/((9\/(-10))\/(-3)). Do 2 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22895, -22901, -22911, -22925?\nAnswer: -22943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 191*l - 2008. Give d(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7381 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 360456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -3, 4, 1\/226, 5, 147, 62?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 2\/11 (b) 2\/5 (c) 57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 151573\/4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13553?\nAnswer: 13553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1267836702.\nAnswer: 2, 3, 11, 19209647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - i = 45, 3*d - 3*i + 27 = -0*i. Let o be (-2)\/3 + (-42)\/d. Suppose -3*t - 13 = -2*x, -5*x + 23 + o = -2*t. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*p**5 + 3*p**4 - 194*p**2 wrt p?\nAnswer: 420*p**2 + 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -134*i**2 + 13*i + 39. Let k be t(-9). Let u = k - -31613. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19023 + -10933. Let b = 19573 - h. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.63 + -0.63. Sort 2.9, -0.1, t in descending order.\nAnswer: 2.9, t, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, k: 7, n: 1, i: 1, y: 5, s: 2}. Give prob of picking 1 s and 1 v.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 264.92961 hours to days.\nAnswer: 11.03873375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11639764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -2\/9 (c) 1\/9 (d) 300 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9087 - 9045. Calculate the least common multiple of 826 and r.\nAnswer: 2478","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/33740 and 5\/74228?\nAnswer: 371140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v + 51. Let d be r(-24). Suppose 0 = 2*i + i, -d*t + 5*i = 0. Solve -w - 13 + 10 = t for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -99630152 at most -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - -12. Let u = v + 10. Put -2, u, -1 in increasing order.\nAnswer: -2, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -81*w**2 - 567*w - 785. Determine v(-5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.33 + 5.33000528. What is t rounded to seven decimal places?\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 + -17. What is the lowest common multiple of f and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 19. Let z = 0.47 - 0.07. What is the nearest to w in z, 2\/17, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5*(sqrt(325) + 3))**2.\nAnswer: 1000*sqrt(13) + 8525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 216*w**3 - 2344484*w**2 - 11510640*w + 1085900 = 0.\nAnswer: -5, 5\/54, 10859","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-594810)\/(-257751))\/(1 - 94\/104)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 686*a + 17566. Give k(-26).\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 16 - (-1971 - -2023).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ihefif. Give prob of picking 1 e, 2 i, and 1 h.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5 = -1. Suppose -6*n = -p*n. Solve n = 5*b - 4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 135*x + 1508. Calculate a(-10).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 312 - 4.79480172.\nAnswer: 307.20519828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1398 - 1403. What is the third biggest value in 6\/11, v, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 7*i = 25. Find the second derivative of -7*q + q**i - 7*q + 3*q wrt q.\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 8*b**2 + 24*b - 1. Let o(i) = 1. Suppose 1 = 5*v - 4*s, -3*v = -0*v + 5*s - 8. Let t(j) = v*c(j) - 5*o(j). Does 17 divide t(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8798 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10390*r - 21985*r + 11594*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 9*b + 79. Let t be u(-9). Let i(n) = n**3 + 10*n**2 + 7*n**2 + 5*n - 11*n - 15*n**2 + 5*n. Give i(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 7:46 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/11, -3, -5, -1.1, 82, -11\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, h: 1, q: 1, z: 1, m: 1}. Give prob of sequence zphp.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4 = p, -4*p + 5*g = -3 - 3. What is the remainder when p is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 620 and 248?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1962?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11917, -22496, -33075, -43654, -54233, -64812?\nAnswer: -75391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + d93?\nAnswer: d90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/6)\/((-3)\/18). Suppose n*m = 21 - 5. Let s be 0\/(m - (-6)\/(-3)). Solve 0*t - 3*t = s for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 + 24. Sort 2, d, -3 in increasing order.\nAnswer: d, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 345155608 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1274 - 1269. Which is the nearest to 0? (a) 1 (b) 1\/6 (c) 694 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 7 = -37. Let a(d) = -d**2 + 14*d + 4. Let v be a(b). Let p be 2 + -4 - (-9 - -3). What is the highest common divisor of p and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26216 and 5858?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7129, 16032, 24937, 33844?\nAnswer: 42753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, -296, 1, -5, 1034 in descending order.\nAnswer: 1034, 1, -5, -61, -296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -651957 by -304.\nAnswer: 651957\/304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68 + -50. Let c(f) = f**2 - 12*f + 42. Let w be c(m). What is the greatest common divisor of w and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311 a factor of 146307834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7171 greater than 7158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d + 26. Let k be z(-13). Factor 2\/7*c**2 + 2\/7*c + k.\nAnswer: 2*c*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 3 + 12. Let q be (t\/(-45)*29)\/(9\/33). Let j = q - 36\/5. Which is the closest to -2\/3? (a) -3 (b) j (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-8))\/(3\/54). Suppose 4*t + 320 = h*t. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -918 divided by 3\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 1 + (378 - 199 - 178)*(1 + 3 - 3))*(-k + 0*k + 2*k) as t + x*k and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*z = 58*z + 279. Let i = z + 97. Suppose -4*u + 592 = i*u. List the prime factors of u.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*z = 28*z + 44. Suppose -16*h = -z*h - 5. Which is the biggest value? (a) 0.2 (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4\/3 - 2*n**3\/3 - 4*n**2\/3.\nAnswer: 2*n**2*(n - 2)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/13123 - 1154866\/275583. What is the common denominator of ((-657)\/(-24))\/(4725\/(-420)) and o?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/77 at most as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.22 - -7.22. What is the smallest value in 0, z, -82, 3\/5?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**5\/3 + 137*q**4 + 218185*q**3\/3 - 89976067*q**2\/3 - 60201680*q - 90411200\/3 = 0.\nAnswer: -467, -1, 440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 4*h + 64, -3*a - 2*h = -5*a - 94. Let w be -2*1\/(-21)*(45 + a). Factor 0*r + w*r**5 + 10\/7*r**4 + 16\/7*r**3 + 8\/7*r**2 + 0.\nAnswer: 2*r**2*(r + 1)*(r + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/13 - 66*q**2\/13 + 232*q\/13.\nAnswer: 2*q*(q - 29)*(q - 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (5 + (-3 - (-10 - -6)) + -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -17*l - 2. Let v(j) = 4525*j**2 - 32*j - 4487. Let h(u) = 2*m(u) - v(u). Find the second derivative of h(d) wrt d.\nAnswer: -9050","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 974 and 0.06279?\nAnswer: 61.15746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i + i**5 + 0*i + (-18*i - 1710*i**3 + 17*i + 952*i**3)*(-2*i**2 + 4*i**2 - i**2).\nAnswer: -757*i**5 - i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(36\/20 + -2). Suppose -4*u - 6 = -2*y, 4*y = 4*u + v*y + 9. Let b(h) = h**2 + 3*h + 1. Give b(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 18) + 26 - (67 - (-5 - -7))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 3 (c) 9 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 12:00 PM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 313*t**2 + 6*t - 4. Let m be ((-32)\/(-6) + -4)*(-6)\/(-8). Is q(m) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -50 - 80*x + 190 + 89*x. List the prime factors of r(27).\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/1*-2 - (-986)\/174.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 353695704 and -0.1?\nAnswer: 353695704.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, y: 5, w: 3, v: 1, q: 3}. What is prob of sequence wwwv?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -776 (b) 0.2 (c) 13 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/21 and 19\/8932?\nAnswer: 26796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 6*d**3 + d**2 - 3*d - 4. Let x(c) = c - 6*c + 0*c**2 - 7 + 2*c**2 + 11*c**3. Let b be 3*3\/9*-4. Give b*x(h) + 7*v(h).\nAnswer: -2*h**3 - h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -6, 1\/5, 16\/13, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 1. Let n(p) = 8*p + 4. Let w(x) = 4*m(x) - n(x). Let t(l) = -4*l**2. Give t(w(g)).\nAnswer: -256*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 9:15 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -154 + 94. Let n be w\/(-8)*8\/5. Solve 2*u = 5*u - n for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 56633152 - -150?\nAnswer: 56633332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203166?\nAnswer: 2, 3, 11287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d. Let s(v) = -215*v + 4. Give t(s(u)).\nAnswer: -215*u + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 791 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1956 and 151710457.\nAnswer: 1820525484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*z**4 + 8*z**3 - 6*z**3 + 66*z**4 + 22*z**4 + z to the form i*z + c*z**4 + u + y*z**2 + t*z**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1546*h = -1566*h + 219960. What is the remainder when h is divided by 125?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*p + 66, 0 = -3*p - p - 2*u + 148. Is 13 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(5) + -1*(sqrt(5) + -1 + sqrt(5)).\nAnswer: -sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -448, -434, -404, -352, -272, -158?\n\"Answer: y**3 + 2*y**2 + y - 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - -1.8. Let j = -1.98 + l. Let m = 0.02 - j. Which is bigger: 1\/2 or m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 8 + -9 - -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.044 + -0.078. What is u rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2586 - 2586. Which is bigger: -12\/1547 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18900, -37895, -56890, -75885, -94880, -113875?\nAnswer: -132870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419667727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11363 and 24792.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ap when two letters picked without replacement from aupauprrurrrr.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/896 and -43\/2240?\nAnswer: 4480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.1, -16, -5, 3\/17, 1, -3?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -56?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1229507*x - 4*x**3 + 0*x**3 - 614398*x - 615109*x.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*((-2)\/2)\/1. Let j = -162 - -164. Suppose -j*f = g - 5*f - 30, -u*g = -3*f - 78. 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: Is 2338873349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -64 and -17062.696.\nAnswer: -17126.696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 32 and -3?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 54*x**3 - 317*x**2 - 347*x + 146413854.\nAnswer: 162*x**2 - 634*x - 347","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*o + 31. Suppose o*l = 4*l + 40. Let d(b) = b**3 - 2*b**2 - b + 3. What is the smallest common multiple of d(3) and l?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2 + sqrt(175) + -6*(-1 + sqrt(175) + sqrt(175)))*5 + 5)**2 + 1.\nAnswer: -148500*sqrt(7) + 3188401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3635 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40590130 and 490.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(2\/7)*r**7)\/(r**(-1)*r*r\/r**(3\/7)) assuming r is positive.\nAnswer: r**(54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + 0. Suppose o - 5430004 = -2*n, 23948128 + 3201876 = l*o + 2*n. What is o rounded to the nearest one hundred thousand?\nAnswer: 5400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-22)*(-15 - (6 + -20)). Let j = -33 - -31. Which is the third biggest value? (a) j (b) k (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 461 divided by -94984.\nAnswer: -461\/94984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of 0 + 3*y**3 + y + 1\/2*y**2. Is h(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -6*u + 2*u. Suppose 3*k - u*k = -32. Suppose -4*i - k = -104. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -18610961106339 and -3?\nAnswer: 18610961106336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 10:24 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of s**4\/10 + 2. What is l in g(l) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h - 226 + 161 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2578474*n + 1254068 with respect to n.\nAnswer: 2578474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*a - 5 + 5 + (-158 + 94 - 4)*(-2 - 2 + 2)*(-4*a + a - a) - 5*a + a - 2*a - 2)*(4*a - 4*a + a) as g*a**2 + c*a + u and give g.\nAnswer: -544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -5*h + 4*y, -5*h + 0*y = -y + 19 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2251 - 4b?\nAnswer: 2202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*o + 559 = 3*x, 5*x + 7*o + o - 7*o + 7 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 109, 5, 1 in descending order.\nAnswer: 109, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 10:57 PM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2. Let p(b) = 16346 - 16346 - 130*b. Calculate p(u(f)).\nAnswer: 260*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/(-140)*7\/(28\/36).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((-1 - -4) + -9 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxjxwiiwwixxwwwwjww. What is prob of sequence xi?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 10*k**3 - k**2. Let y be l(1). Let s = y - -47. Suppose -5*v + 28 = -v + f, -5*v + s = -4*f. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -7*l**5 - 2*l**3 - 11*l**2. Let t(o) = 13*o**5 + 5*o**3 + 22*o**2. Let b(q) = 5*r(q) + 2*t(q). What is the third derivative of b(s) wrt s?\nAnswer: -540*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6*z*(z\/((z*z**(-7))\/z))\/z*z)\/(z**(1\/4))**(1\/82) assuming z is positive.\nAnswer: z**(4919\/328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 69*g - 1443. Let i be n(21). Sort -4, i, -17.\nAnswer: -17, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 824, 825, 826, 827?\nAnswer: 828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28 in 1\/6, -0.137, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*f**3 + 4820*f**2 + 16956*f + 7272.\nAnswer: -4*(f - 606)*(f + 3)*(2*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -5*b + 10, p - 5 = 6*b - 2*b. Suppose -p*l = -308 - 562. Suppose -l = -2*x - x. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u - 11. Let f be z(-5). Let o be (6\/4)\/(f\/(-12)). Sort o, 12, 5 in descending order.\nAnswer: 12, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 31. Suppose 0 = -a - 3*j + 14, 2*a - 3*j = j - 22. Let w = 89 - 92. Put a, y, w in decreasing order.\nAnswer: y, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34193 + 34193.000031682. What is k rounded to 6 dps?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -494*p**3 - 2*p**2 - 1082*p wrt p?\nAnswer: -2964*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 246, 953, 2140, 3813, 5978, 8641?\n\"Answer: g**3 + 234*g**2 - 2*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 1 = 3*m, a - 4*a - 10 = 4*m. What is the fourth smallest value in -0.3, -4, a, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 35, 141, 367, 773, 1419, 2365?\n\"Answer: 10*g**3 + 36*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 13, -8\/7, 1\/10?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2476983.9851 + 2477223. Let c = -202 - -441. Let q = c - i. What is q rounded to 3 dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-10)*(-1)\/(-2). Let s = -1 + 1. Let z be 5*(32\/(-30))\/(-2)*(-107)\/(-856). What is the biggest value in z, s, o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**5\/3 - 1238*h**4\/3 - 240478*h**3\/3 - 16040770*h**2\/3 - 53319400*h = 0.\nAnswer: -317, -145, -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -121 + 120.26. Let x = 0.739999619 + a. What is x rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 5*t + 5, -3 = -6*l + 5*l - 4*t for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 81\/8728?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bsss when four letters picked without replacement from {s: 9, b: 3}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 2*o. Let p be z(-2). Let k = 6910.4 - 6915.4. Which is the third smallest value? (a) 0.6 (b) k (c) -0.1 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/5)\/(-1 - (-1 + -1)). Suppose -2*k + 4*u = -734, r = -6*k + 5*k + 5*u + 352. What are the prime factors of k?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 419 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1378*t - 4535*t - 5332*t - 78715 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -21. Let v be (-4)\/(k\/(-2 - -1)). Let r be 1\/6 - (-2)\/v. Sort -5, 0.4, r in descending order.\nAnswer: 0.4, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*a + a**3 + 56*a - 1188 - 860 - 859 to the form o*a + m*a**2 + v + g*a**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 20 = 2*q, -3*y - 15 = 2*q - 6*q. Let r = -4355.5 + 4356. Sort 4, -80, r, q.\nAnswer: -80, q, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*n + 12*n + 1 + 11*n + 3*n + 0*n - 5*n - 3*n + 4*n + n + 2*n + 4 - 4 + (-1 + 0 + 0)*(n - 5 + 5) + 0*n + 3*n - n.\nAnswer: 33*n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 627 and 7944717?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nwxv when four letters picked without replacement from wnvxf?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w. Let h(t) = -85*t - 1. Determine h(d(i)).\nAnswer: 85*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55.1 + 2.9. Let a = -2430290.00062 - -2430232. Let w = a + f. What is w rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21*p + 14 - 14)*(2 - 2 - 2)*(88 + 80 - 151) to t + z*p and give z.\nAnswer: 714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -37\/5*y**2 + 0 + 0*y - 1\/5*y**3 = 0. What is y?\nAnswer: -37, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002495318465 to 6 decimal places.\nAnswer: -0.002495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 4*r**2 + 7*r - 25. Let f be c(-6). Suppose -f*n - 2*k - 3 - 2 = 0, -4*n - 6 = 2*k. Solve o - 1 = v, -4*v - o + n = -3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70520*b**2 - 140888*b**2 + 70501*b**2.\nAnswer: 133*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5374 + 5374 + 20*d**2.\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2675160395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1815\/(-33))\/(2*-3))\/(63\/((-8316)\/(-220))).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 2694019?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 85247777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 87488207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2843 + 2537. What is the closest to 1\/2 in 1\/2, a, -3, -2\/9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5480 = -115*h - 1190 for h.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2698 - -842. Let v = -1015 - l. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - 7*(2 + -108). Suppose 9*d = 7*d + y. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -149 or -164?\nAnswer: -164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28\/115 - -64316\/345. Let p = j - 4666\/25. Which is the closest to -0.1? (a) 1\/4 (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7098741 to the nearest integer?\nAnswer: 2664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -53812612 greater than or equal to 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 67\/4, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 2)*(-2 - 7 + 5)*(-r - r + r) in the form n + q*r and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(612) - 2*sqrt(612)) + -2)**2 - ((-4 + -4 + sqrt(612))**2 - sqrt(612))).\nAnswer: -120 + 252*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 - 19 - 22)*(-1 + 0 + 3) + 1 + 1 + 0)*(-3*o + 3*o + 2*o).\nAnswer: -184*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t + 1. Let f(m) = 11*m + 29. Let n(b) = f(b) + 4*u(b). Let w be n(12). Solve 0 = 5*g + 2*k - w, 27 = 5*g + 4*k - 0*k for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0, -1, 4 in decreasing order.\nAnswer: 4, 0, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**4\/3 + 51332*x**3\/3 - 21011614*x**2\/3 = 0. Calculate x.\nAnswer: -26069, 0, 403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, y: 1, i: 4, b: 5, g: 1}. What is prob of picking 1 a, 1 g, and 2 b?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15386 = -3*t + t. Let o = t + 46039\/6. Find the common denominator of (-9)\/36 - (-394)\/(-8) and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -6949, -0.5 in descending order.\nAnswer: -1\/3, -0.5, -6949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/4*6\/(-3). Suppose 0 = t*n - 5*r + 7, -3*r - 15 = -5*n. Suppose 2 + n = u. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q - 13*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73 - 36. Suppose -5*h - 127 = -2*c, -5*c + 55 = -h - h. Let b = h + v. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dhdl. What is prob of sequence hl?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 239, -1 in decreasing order.\nAnswer: 239, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*m**2 - 473*m - m**4 + m**3 + 242*m + 231*m - 8 to u*m**2 + w*m**4 + c + k*m**3 + t*m and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-180)\/18)\/(1\/10*10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1434 + 13?\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3926 + 4?\nAnswer: -3922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -10, 18, -3 in decreasing order.\nAnswer: 18, 1, -1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2 + 4. Let j be (4\/f)\/((-14)\/6). Let x = -4.994 - 0.006. Which is the biggest value? (a) j (b) -3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -12*o**2 - o - 1. What is g(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13120315 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2362 (base 11) to base 12\nAnswer: 1959","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -6*l**2 + 31*l - 27. Let j be z(4). Which is the nearest to j? (a) 0.1 (b) -0.06 (c) -57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1204 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 39, 3, 4, -4, -20 in ascending order.\nAnswer: -20, -5, -4, 3, 4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 616 is divided by 413.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(268\/268*3\/15)\/((-1)\/(-85)).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 95 by 10.\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 24381593\nAnswer: 2438159.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/19 + 48*u**2\/19 + 216*u\/19 + 224\/19.\nAnswer: -2*(u - 28)*(u + 2)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2297*g**3*u**4 + g**3*u - 9245*g**2*u + 4*u**4 wrt u.\nAnswer: 27564*g**3*u**2 + 48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72878037 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(9*(-44)\/165)?\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23903 is divided by 649.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 539 and 31999?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of m**2\/2 - 140. Let d(a) = -202*a**2. What is f(d(k))?\nAnswer: -202*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g**2 - 30*g + 8. Let o be t(12). Let b = -116 + o. Is b a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 618461.4877 from 0.\nAnswer: -618461.4877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 4, v: 14}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 i when three letters picked without replacement from {d: 4, n: 6, i: 2, t: 3}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 2. Let b = -1 - -3. Put s, -1, b in descending order.\nAnswer: s, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vu when two letters picked without replacement from {u: 5, g: 1, d: 3, v: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -276*((-3980)\/(-80))\/199.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2599291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10 + r**4 + 2 + 0 - 23*r**4 with respect to r.\nAnswer: -88*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1167.\nAnswer: 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 184 - 37. Let v be -2 - 42\/4*(-14)\/p. Solve 2*l = 3*z + 16, -18 = -0*l + l + v*z for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 9:51 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -818891, -2, -4 in increasing order.\nAnswer: -818891, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**3\/11 + 142*g**2\/11 - 11092*g\/11 = 0.\nAnswer: -118, 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 - -37. Let b(p) = -2*p - 5. Let u be b(-5). Suppose -j = -n - 14, u*j + 0*n + d*n - 110 = 0. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 271*i + 1073. Let o be a(4). Solve o*c + 37*f + 31 = 39*f, 3*f + 16 = -5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9127 + -9021. What is the remainder when 216 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -12, 0.2, -5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 863?\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/((-7875)\/245)*-5.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5268.669 tonnes in grams?\nAnswer: 5268669000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3586497?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - -1*sqrt(84))*-4)\/(sqrt(768)*4)*-2.\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19542237?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11989c (base 13) to base 9.\nAnswer: -711577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - d = 162. What are the prime factors of d\/8*(-16)\/6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33912282, -33912280, -33912278, -33912276?\nAnswer: -33912274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 383426.01 rounded to the nearest one thousand?\nAnswer: 383000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 - 104 + 6*a**2 + 101.\nAnswer: 3*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzmt when four letters picked without replacement from zmpmpmpmptqqmttqmzm?\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/7 (b) 0.7 (c) 5 (d) -5 (e) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p - 2. Suppose -4*z + 4*y + 4 = 0, 2*y + 0 = 5*z - 14. Let h be t(z). Solve -h = 5*s - 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, -1338, -0.18 in descending order.\nAnswer: -0.18, -41, -1338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26817583?\nAnswer: 13, 2062891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -108*z**2. Let a(i) = 22*i**2. Determine a(k(d)).\nAnswer: 256608*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + z**2 + 2. Let f be o(0). Suppose 0*i - f*i = -10. Find the second derivative of x**3 - 3*x + 2*x**3 + x**3 - i*x**3 wrt x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xooooooofx. What is prob of picking 1 x and 2 o?\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*r = -2189 - 1643 - 2488 + 1216 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2800150 a multiple of 275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 408675499*o*y - 435328702*y wrt o?\nAnswer: 408675499*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/(-3 + (-35)\/(-15))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 147.7 - 142. Let k = -6 + z. Let j = -2313\/4 - -6935\/12. What is the closest to -2\/7 in k, -0.4, j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1357 + -13215?\nAnswer: -11636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h + h - 5*h + 9*h. Let n(j) = -5*j + 1. Determine -8*f(k) - 3*n(k).\nAnswer: -k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 35675?\nAnswer: 107025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 + -57. Let u be (287\/(-205))\/(v\/10 - -1). Let i(t) = t**2 - 5*t + 6. Determine i(u).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 27. Let z be ((-6)\/q)\/(2\/35). Solve -3*d - z = -9 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 2*z**2 + (-2 + 2 - 2*z)*(z + 4*z - 6*z) - 3*z**2 - 29*z**2 + 10*z**2 + 22*z - 20*z + 8*z**2 - 58*z**2.\nAnswer: -72*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -19309*y**2. Let b(p) = 257*p. Calculate g(b(h)).\nAnswer: -1275340141*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 125007625 to the power of 1\/3, to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t**3 + 3*t. Let o(w) = 12*w**3 + 8*w. Let i(j) = 2*j - 22. Let y be i(13). Suppose 3*z - 5*m = 4*z - 7, 4*m + y = -2*z. Give z*u(r) + 3*o(r).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 37593\/8 greater than 4698?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(2) - (1*(sqrt(8)\/sqrt(4) - sqrt(2)) + sqrt(2)))*6)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.82788um in millimeters?\nAnswer: 0.08782788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**2. Let c(m) be the second derivative of m**4\/3 - m**3\/6 + 2*m. Let h(f) = -2*c(f) - 5*s(f). What is the second derivative of h(d) wrt d?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137*842.\nAnswer: 115354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -709, -715, -723, -733, -745?\n\"Answer: -d**2 - 3*d - 705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/8 - 6 - ((-15)\/(-2) - (-2291)\/(-158))\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3\/(-9))\/((-84)\/156) and (36\/9)\/(6\/(-11))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 217*q - 4. Let k be i(1). Suppose 0 = -o - 5*v + 91, 4*o + v = 94 + k. Let u = o + 37. List the prime factors of u.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69408045 divided by -315?\nAnswer: 220343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-24)\/(-16))\/(6\/(-32)). Let o be (-2)\/(-5) - (5 + 285\/25). List the prime factors of 7\/((o\/4)\/k).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k + 23. Let p be 2 + (-8)\/4*1. Suppose -y = -2*f, y + f = -p*f - 9. Let l be r(y). Solve -l*n - 19 = -4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 1)*(-3 + 3 + 5*q**4) - 2*q**4 + 0*q**4 + 0*q**4.\nAnswer: -7*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6, 6, 44, 120, 246, 434, 696, 1044?\n\"Answer: 2*w**3 + w**2 - 5*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5367 = -768*x + 17505 - 1368 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, -0.3, -289.62?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -795*q = -13117 - 1988 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 200325517 to the power of 1\/2, to the nearest integer?\nAnswer: 14154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, -0.4, 0.1, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 70*c**4*x**3 + 5*c**3*x**3 - c*x**3 - 21*c*x**2 - 2*c wrt c.\nAnswer: 840*c**2*x**3 + 30*c*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (3227976\/16760)\/((-18)\/10)\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 7*k. Suppose 0 = -2*t - 2*l + 6698, k*t + 4*t + 2*l - 13400 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -6. Find the first derivative of -c**2 - 4*c**2 + 2*c**h + 1 wrt c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 6468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**7\/42 + 2*q**3\/3 + 7*q. What is the second derivative of n(j) wrt j?\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.580957 take away -5.556?\nAnswer: -27.024957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v + 18*v + 4 = 0. Let k(j) = -j + 18. Let l be k(12). Find the third derivative of -v*x**6 + 12*x**6 - 16*x**2 - 5*x**2 + x**l wrt x.\nAnswer: 1320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -298*b**3*i**2 + 254*b**3*i + 4706*b**2*i**2 + 715*b**2*i wrt b.\nAnswer: -1788*i**2 + 1524*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 1. Suppose -277*a - 230*a + 40672 = -377*a - 38238. What is the remainder when a is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, 136, -73, -1\/4?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -13*c + 384. What is the hundreds digit of w(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/2, -236\/5, -5, 0.2, 0.254, -0.02?\nAnswer: 0.254","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10210220 - 10210?\nAnswer: 10200010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/12*(-176)\/(-330)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88308676 plus 1.688?\nAnswer: -88308674.312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1474 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*((-1)\/6)\/(12\/(-72)). Suppose -6*d + d - 15 = 0, -d - 13 = -2*c. Suppose -c*o + 4*o = -8. Solve 0 = -l*y - 4*y - o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160790759 is divided by 8385?\nAnswer: 8384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*u - 28*u**2 - 30 + 30 wrt u?\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2689447 to the power of 1\/2, to the nearest integer?\nAnswer: 1640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**5 - 9*c**3 + 6*c**2.\nAnswer: 3*c**2*(c - 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -36. Let v be (-1)\/(-4)*-74*-2. Let f = v + l. Is 21 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/4443 at most as big as 15.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (92\/(-161))\/((-116)\/261)\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 35313, 35314, 35315, 35316, 35317, 35318?\n\"Answer: a + 35312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 9 + g**2 + 2*g - 1 + 3*g + 0*g. Does 2 divide j(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 50750.26 weeks?\nAnswer: 511562620.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 223917796 divided by 157?\nAnswer: 1426228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-4 - -8 - 2). Suppose -f = -4*f + t + 9, g = -t. Suppose 10 + 32 = f*n. What is the greatest common factor of 70 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -9\/13 (b) 0 (c) 0.2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27652 is divided by 9214?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, u: 3, h: 1, k: 1}. Give prob of picking 1 t and 1 u.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 275*v - 276*v + 7, -6 = -2*v + 2*c for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 25. Let c(b) = -2*b**2 - 24. Let f(p) = 2*c(p) - 3*z(p). Let a be f(0). Find the third derivative of 8*j**2 - 27 + 6*j**5 + a wrt j.\nAnswer: 360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0017962 rounded to 5 dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10166099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3509850, 14039434, 31588750, 56157798?\n\"Answer: 3509866*o**2 - 14*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -4*g + 97, -67 = -2*k - 5*g - 0*g. What is the remainder when 617 is divided by k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 54 = -41. Suppose -l = -5*d + 2*x, -3*d + 0*x = 5*x - 30. What is the remainder when 8 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2455726613?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20818*g**4*z - 31*z - 241 with respect to g.\nAnswer: -83272*g**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 24278223 + 29.7\nAnswer: 24278252.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 391*t - 16647. Determine q(-52).\nAnswer: 981","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.402? (a) -618 (b) -1\/4 (c) 0.3 (d) -3\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252)*-6 - sqrt(28)*-3.\nAnswer: -30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 3*t**7\/7 - 121*t**5\/5 + 3*t**4\/4 - t**3\/3 - 227*t**2 - 5645. Find the third derivative of j(z) wrt z.\nAnswer: 360*z**3 - 2904*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 8) in base 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -15. Suppose -t = d*r - 0*t - 19, -3*r + 13 = -t. Calculate the least common multiple of 6\/21 - 136\/(-14) and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12838948 divided by 43969\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**3*l - 40*f**2*l**3*y - 571*f**2*l**3 + 3916*f*l**3*y - f*l**2*y - f*y - 28*l wrt f.\nAnswer: -6*f*l - 80*l**3*y - 1142*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31945, 63813, 95681, 127549, 159417, 191285?\nAnswer: 223153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 14*q**2 - 15*q + 4. Let z be d(-15). Suppose 0 = 2*s + 3*k - 2205, z*s - k - 3987 = 430. Does 24 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 y, and 2 q when four letters picked without replacement from qyyqjzu?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*r**3 + 34*r**3 - r**3 + 48*r**3.\nAnswer: 116*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 1. Let t(m) = 6*m**3 - 8*m**2 + 4*m + 1. Let x(r) = 2*d(r) + t(r). Is x(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2593 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8880144 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 3*r + 5\/2*r**2 - 1\/3*r**3 - 52. What is d(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68709666 by 11451611.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -16302 divided by 1254?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**5\/9 + 14*y**4\/9 - 4*y**3\/3 - 14*y**2\/9 + 8*y\/9 = 0 for y.\nAnswer: -4, -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, e: 3, w: 7, p: 3, u: 3, n: 1}. What is prob of sequence pwue?\nAnswer: 21\/10336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 15*z**2 + z. Calculate the lowest common multiple of k(-1) and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2024 + -1038. List the prime factors of x.\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l + 8 + 0*l - l + 2*l. What is the units digit of t(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - 0.1. Let k = -7331 + 7333. What is the closest to 1\/3 in -3, o, k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32704726?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/8701924 and 63\/440.\nAnswer: 87019240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*y = 0, 5*a + 5*y = -0*a. Suppose 8*v - 9*v = a. Solve v = 2*r - s - 3, 2*r - 5*s = -0*r + 23 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 14*g**3 - 5*g - 4. Let t(a) = -16*a**3 + 6*a + 4. Calculate 6*c(d) + 5*t(d).\nAnswer: 4*d**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(16\/20)*14. Let l = -38 - r. What is the greatest common divisor of 256 and l?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m - 1. Let j(z) = -z**2 - 20*z - 5. What is -j(q) + 3*k(q)?\nAnswer: q**2 + 17*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -527, -1051, -1555, -2027, -2455, -2827?\nAnswer: -3131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 181 (b) 0.5 (c) 0.4 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2317 - 14272 = -5*a, -4*p - 7159 = -3*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -446, -896, -1344, -1790, -2234, -2676?\n\"Answer: t**2 - 453*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(48)*-1)\/((sqrt(48)*2)\/sqrt(8)))\/(-5*((sqrt(196) - -6*2*sqrt(196)) + sqrt(196) - sqrt(196))).\nAnswer: -sqrt(2)\/455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/5)\/d)**(-34)\/(d\/d**(2\/5)*d\/d**(-1\/2)))**(1\/37) assuming d is positive.\nAnswer: d**(183\/370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44*x**2\/19 - 3042*x\/19 + 414\/19.\nAnswer: 2*(x - 69)*(22*x - 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5901871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7463120352?\nAnswer: 2, 3, 19, 67, 173, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*l**4 - l**3*u**2 + 9*l**3 + l**2*u**2 - 4*l**2*u + 20*l*u wrt l?\nAnswer: 504*l - 6*u**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(-2 + 2 - 2*w**3) - 1 + 1 + 2*w**3 + (-5*w + 3*w + 0*w)*(4 - 4 + w**2).\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13 - -d?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*s + 37*s - 12 = 0. Let y(v) = -21*v**2 + 15*v**s - v**2. Let d(k) = -2*k. Calculate d(y(n)).\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, -13, -2\/23, 0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1873?\nAnswer: 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.248143037 + -2973.202.\nAnswer: -2973.450143037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 3*y = -39, 10266*n - 10269*n - 2*y + 35 = 0 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3815 + -3.8285. What is l rounded to two decimal places?\nAnswer: -4.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = w - 14 - 2, -2*w - 2*k = -20. Let r be (-4)\/(w\/(-10)) - 1. Solve -2*v = -r*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/5)\/((-32)\/60).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010127265 rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 9*u = 29, 4*u + 42 - 26 = 0 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 3*h**2 + 3. Let q be m(3). Suppose 2*a = -q*a + 11250. Let d be (a*1)\/(2\/(-7200)). What is d rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -20*t + 740. Let d be u(37). Put -47, 3, d in descending order.\nAnswer: 3, d, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 238 - 683. Let u = p + -1597\/18. Which is bigger: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 5*t + 29. Suppose 3*i = 5*x + 31, -30 = 4*i - 18. Give h(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 2*x + 65 = 0. Let v = x + -7. Suppose -2*f = -5*q - 9 - 4, -f + 5*q = v. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 2\/5 (b) 12 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d + 114. Suppose 2*s - 3 - 10 = -t, 4*t = -4*s + 36. Let h(u) = -7*u + 6. Let j(r) = 5*r - 4. Let n(y) = s*h(y) + 6*j(y). Determine f(n(v)).\nAnswer: -4*v + 114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -0.4, 0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 349 + 35 = 3*l. Let i = 38 + -22. What is the highest common divisor of l and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1375\/(-110)*(-28)\/(-10)*-3 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (10 + -5 - (-1 + 10))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 70433 or 70432?\nAnswer: 70433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.2, 21.7 in ascending order.\nAnswer: 0.2, 5, 21.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1598*t + 42 - 43 + 1525*t to v*t + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 618 - 468. Suppose -d - 30 = -6*d. Suppose y - d = 32. What is the remainder when u is divided by y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 90, 104, 112, 108, 86, 40?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/4*2\/(-2). Suppose 3*f + 2*d = 130, 5*f + 2*d - 49 - 161 = 0. Let q be (12\/(-16))\/((-6)\/f). What is the nearest to t in 0.1, 4, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.1 - 4.1. Sort -1, s, -2\/5 in increasing order.\nAnswer: -1, -2\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + (-2)\/(-2) + (2 - -3707) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h**3 - 3*h**3 + 2*h**3)*(7 + 202*h + 2 - 199*h) in the form d*h**2 + r*h**3 + q + t*h**4 + k*h and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43158, -86294, -129434, -172578, -215726, -258878, -302034?\nAnswer: -345194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 11. Let r = 292 + -286. Solve r + z = 3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + f**2 + 12 - 37.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -17*d + 2. Suppose k - 2 = -2*k + h, -2*h = -2*k. Let g be q(k). What is the common denominator of (129\/g)\/(20\/25) and -5\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(((-4)\/(48\/36))\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1a15 (base 12) to base 15\nAnswer: e25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16898 (base 10) in base 12?\nAnswer: 9942","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 13) in base 7?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1047600 to the nearest integer?\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbnq when four letters picked without replacement from qrnzqdzb.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 6:57 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4040403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s - 2. Let h be l(-6). Let p = 785 + -769. Suppose -p = h*j, 3*j + 2*j = -5*w + 1480. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 854 + 3?\nAnswer: 857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.316 take away 1?\nAnswer: -35.316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - 0. Let j = a - -17. Solve -29 = -b + 6*b + 4*g, 3*b - j*g + 10 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63\/(-36))\/(((-60)\/16)\/5)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*z + 56 = 5*l - 262 - 241, -26 = 8*l - 3*z for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/6 + 18032\/(-48). Let a = 559 + x. What are the prime factors of a?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48368643251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 1. Let f(x) = 868*x**2 + 1085. Determine f(y) + 1085*k(y).\nAnswer: -217*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 191, 2, 36 in decreasing order.\nAnswer: 191, 36, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 20210 (base 3) to base 14\nAnswer: d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00722366464 to 5 decimal places.\nAnswer: 0.00722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5ac - 0?\nAnswer: 5ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 10*z - 8. Let t be d(-6). Let m = t - -120. What is the greatest common factor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 2*g**3\/3 + 4*g. Let x(v) = 8 + 12 - 2*v - 20. Calculate 4*p(k) + 9*x(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*y + 31*y - 20 = 0. Suppose 0 = 4*k - 2*b - y, 2*b = k + k - 6. Suppose -3*x = 2*q - 4083, 5*x + k*q = -3*q + 6805. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-2\/23)\/v)\/(v**(-2\/5)\/v)*(v**(-23)\/v)\/(((((v\/(((v**11\/v)\/v)\/v)*v)\/v*v)\/v)\/v)\/v))**(-4) assuming v is positive.\nAnswer: v**(6296\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14158550 and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 8:56 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2914134091 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bffbfffffffffbbfbff.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w**3 - 1611954*w**2\/5 + 7932044*w\/5 + 128976 = 0. What is w?\nAnswer: -32244, -2\/25, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p - 3*m - 31, 4*p + 4*m - 11 - 1 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1236 - -1237. Let o = 3\/7 + -1\/35. What is the smallest value in 2, c, 0.07, o?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1460974081 to the power of 1\/5, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8777, -8779, -8783, -8789, -8797, -8807?\nAnswer: -8819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1323375*s**3*v**2 - 2*s*v**2 + 1173553*v**2 wrt s?\nAnswer: 3970125*s**2*v**2 - 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 135644 less than 0.1?\nAnswer: -135643.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 208*k + 2*k**2 - 18 + 2*k**4 + 6 - 206*k as g*k**2 + m*k**4 + d*k + y*k**3 + a and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 112480 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92555.28 milliseconds to nanoseconds.\nAnswer: 92555280000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (-7)\/((-1183)\/52). Is j bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 12 = 4*a, -4*b + 6*b - 12 = a. Suppose 32 = 4*z + 3*m, -87*z + 2*m - 8 = -88*z. Calculate the lowest common multiple of (-1 - a\/4)*-44 and z.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 9:13 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22538729923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 1 - 3) + 0 + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -1701*b - 4. Let w = 3 + -13. Let x = -14 - w. Let v be d(x). What is v rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 270502352?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 46746 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62995 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-61)\/((-3477)\/570) - ((-138)\/(-15) + -2)\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -5. Let r = 17 - i. Let u = 16 - r. Put -3, 5, u in descending order.\nAnswer: 5, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**5\/3 - 748*s**4\/3 + 8*s**3\/3 + 2992*s**2\/3 = 0. What is s?\nAnswer: -374, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -71711.9 to the nearest 100.\nAnswer: -71700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176 - 2*h**2 - 73 - 6*h - 80.\nAnswer: -2*h**2 - 6*h + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*s - 6*s + 23*s + 8*s to m + x*s and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4)*120\/4. Suppose l*z = 7*z + 3768. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11742 and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 12*w**2 - 23*w + 24. What is j(10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/3)\/z**(-2\/25))\/((z**(-1\/4)\/z)\/(z**8*z))*((z**(-2\/25)*z)\/(z\/(z\/(z**7*z*z))))\/(z*z*z\/z**(2\/5)*z*z**(-5\/3)*z) assuming z is positive.\nAnswer: z**(-1\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -409.\nAnswer: -9\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/4268866 and -139\/1260.\nAnswer: 384197940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*sqrt(128)\/sqrt(4))**2 - (sqrt(32) - (sqrt(2048) + -1)) - (-6*(sqrt(128) - (sqrt(128) + (sqrt(128) - -3*sqrt(128)*-1))))**2) + 0)*6.\nAnswer: -105798 + 168*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7198 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65919 + -115019. What is g rounded to the nearest one thousand?\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44309.\nAnswer: 59, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15104 is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 52\/16 + 3\/(-12). Let z(q) = 2*q - 3. Let h be z(4). Suppose -11 = -h*v + 4. Solve 4*u = v*o - 5 - 11, 0 = -r*o + 2*u + 14 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -a**4\/4 + 20*a**3\/3 - 21*a**2\/2 + 40*a + 76. Let l be p(19). Solve -l*x = -3*x + 3*o + 4, -5*x + 3*o = 16 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**0)\/u*u)**49\/(((u**(2\/17)*u)\/u)\/((u**(-3\/2)\/u)\/u)) assuming u is positive.\nAnswer: u**(1543\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k = -11 + 25 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - s - 8*s = 90 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 34.1, 7\/11, 0.2?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*w = -14, 5*h + 3*w - 50 = 3*h. What is the remainder when 7640\/88 + (-8)\/(-44) is divided by h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -56359.19 to the nearest 100.\nAnswer: -56400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -247.49351 rounded to the nearest integer?\nAnswer: -247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, c: 4, l: 2, r: 1, t: 3}. What is prob of picking 1 y, 1 c, and 1 t?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 512641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -11.525 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 123*o**3 - 9*o + 18. Let j(k) = -31*k**3 + 2*k - 4. Calculate 2*h(y) + 9*j(y).\nAnswer: -33*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 335*k*n*q + k*n + 9584*k*q + 1010*n*q + 7*n + 1018*q with respect to n.\nAnswer: 335*k*q + k + 1010*q + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/4923 and -71\/1171674.\nAnswer: 1171674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 4:39 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.06 + -7.06. What is the closest to -19\/4 in -2\/9, 0.1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3080515 a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ye when two letters picked without replacement from {y: 2, l: 4, k: 1, m: 2, e: 6, f: 4}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5060 and 1054602670.\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26657 + 123016. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**6\/120 + s**4\/12 - 21*s**2. What is q(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29942962 by -68993.\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 16211\/5643?\nAnswer: 16211\/5643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3878 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -53*d**2 - 66*d - 3. Determine h(-4).\nAnswer: -587","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) 10\/9 (c) -1\/11 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/5 (b) 17\/7 (c) -1 (d) 0 (e) -104\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0019116 to five decimal places.\nAnswer: 0.00191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and -13189.7175.\nAnswer: -13193.7175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/3 - 92*z**2\/3 + 367*z + 1386.\nAnswer: (z - 77)*(z - 18)*(z + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -83 + 73. Let w = 11.9 + 1.1. Let h = o + w. What is the nearest to 1\/2 in h, 0.5, -1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 112*b. Let g(p) = -61*p. Determine j(g(y)).\nAnswer: -6832*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 12:25 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of j**4\/4 - 2*j**3 + 7*j**2\/2 - 5*j + 2. Let m be o(5). What is the closest to -0.1 in m, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -84\/41, -25, -2\/15, 8?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3231 + 1?\nAnswer: 2.3231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 5*s**4\/4 - 65*s**3 - 5*s**2\/4 + 65*s = 0.\nAnswer: -1, 0, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 13*r**2 + 26*r - 61. What is o(11)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 4:09 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqlxhhxhhlhhhlhmxlh. What is prob of sequence lh?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -635*o**3 - 235*o**3 - 312*o**3 + 62*o**3.\nAnswer: -1120*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 6*q + q. Suppose -m + 14*m - 91 = q. Solve -a - m = -4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 g when four letters picked without replacement from {i: 1, g: 3, o: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2 = 0, -9*g + f + 649 = -6*g. Let j = g + -83. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2991623 is divided by 325?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 14*b - 46 = -17*b, -3*v + 66 = 3*b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 81 + -80. Let i be (-1 - -1 - 1\/p) + 16. Solve 0*g = 3*g - 3*o + 30, -o = -2*g - i for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -18*v**3 - 10*v**2 + 24*v - 1. What is k(2)?\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - 9. Let b = -29 - q. Which is smaller: 2\/17 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6659 times 0.3?\nAnswer: -1997.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/2 and -59\/1429928.\nAnswer: 1429928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p + 9. Let k(t) = t - 3. Calculate -11*k(c) - 4*r(c).\nAnswer: -3*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 8:25 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-11 - 0) + 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*-2 + sqrt(17))*-4 + 1 + (-5*sqrt(68) - sqrt(17) - -6*sqrt(51)\/sqrt(3))**2.\nAnswer: 4*sqrt(17) + 426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -425989, -425916, -425843, -425770, -425697?\n\"Answer: 73*j - 426062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (774 + -10)*(-2)\/(-88) - 1. Which is greater: 3\/13 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 18*s - 39. Let r be i(3). Suppose 13*n - 50 = r. Let c(q) = q**2 - 6*q - 4. Calculate c(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58\/145*-6*(104\/(-16) - -9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 14*1\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/((-675)\/345))\/((28\/8)\/7*-2)?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -0.148 (c) 1 (d) -4 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + -5 + -1 + sqrt(1900) + 1 + -1).\nAnswer: -10*sqrt(19) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(196)*-1 + 2*sqrt(3136))\/(sqrt(28)\/sqrt(4)*-6 - sqrt(189)\/sqrt(3)))**2.\nAnswer: 1777\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 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: Expand (-367 - 125*o + 367)*((-2*o**4 + o**4 + 2*o**4)*(-1 + 0 - 1) + o**4 + o**2 - o**2).\nAnswer: 125*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 8 = 5*u. Let q(d) = 3*d**2 + d + 3. Let r be q(u). What is the tens digit of (-3)\/(-3)*r + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.252 - -0.189. Let y = 0.0453 + c. Round y to 3 decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0462017627 - 3076148659.9537982373. Let q = n + 3076148694.99999918. Let i = 35 - q. What is i rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q - 12. Let t be p(-8). Let m be (t\/(-6))\/(10\/(-6)). Let l = -0.5 + 5.5. Which is the closest to 2\/7? (a) 0 (b) m (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**1))**8)**(2\/95)*(q\/(q\/(q\/((q*q\/(q\/(q**(-3)\/q)*q))\/q))))\/(q*q\/(q\/((q\/((q\/(q\/q**(-1)*q)*q)\/q))\/q)))*(q**(-1))**(-2\/41) assuming q is positive.\nAnswer: q**(12531\/3895)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011011110011111 (base 2) to base 9.\nAnswer: 71430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2129 + 3085.\nAnswer: 3085.2129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2. Let f(c) = -141*c**2. Give f(q(l)).\nAnswer: -564*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60.7 - 55.7104. Let x = j - -0.0104. Which is the biggest value? (a) -1\/3 (b) -4\/3 (c) 0.07 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u = 19*u + 3. Let m(v) = 14*v**2 - 1. Let i be m(u). What is the first derivative of -32*z + i*z + 13*z**2 + 9 + 19*z wrt z?\nAnswer: 26*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/9)\/(1\/361). Let v = -40 + z. Let u = -0.2 - 0.3. What is the third biggest value in -2, u, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 140870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9090 = 8*s + 10*s. Let t = 525 + s. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/f**(-1\/2))*f*f**0*(f**2)**(14\/3)*((f*f**(-6))\/(f*f**(-2\/5)))\/(f\/f**(2\/7))**(-38) assuming f is positive.\nAnswer: f**(6589\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 9*s**2 + 3. Let q(x) be the third derivative of x**5\/6 - x**3\/6 - 13*x**2. Let b(f) = 3*q(f) + 2*r(f). Differentiate b(v) wrt v.\nAnswer: 6*v**2 + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(-2 + -1 - -4). Suppose 3*a = -t - f*t + 796, -529 = -2*a - t. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 71*v**3 + v**2 - 2. Determine a(-1).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.20287 rounded to two dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.68220519 rounded to two decimal places?\nAnswer: -3.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -20. Let n = -7 - w. What is the least common multiple of n and 3*(-2 - (-8 - -4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58251, 232505, 522933, 929535, 1452311, 2091261, 2846385?\nAnswer: 3717683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -20532*q - 4831. Is g(-22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*b + 31*b - 44. Which is smaller: b or 1\/115?\nAnswer: 1\/115","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 1)*((2*l - 1 + 1)*(-1 - 5 + 5) - 3 - 2*l + 3).\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 - (-24 + 10) - 16 - (0 + 12).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.0975*-5\nAnswer: -0.4875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l - 35. Let n be t(-7). Solve -3*h = -n*h + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 2659\nAnswer: 5\/2659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 4*k - 0*k. Let d = 11 - 7. Suppose -d*s = c - 2*c - 145, 0 = -c - 1. Calculate the remainder when s is divided by k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1735083 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 32\/(-6)*(1 + (-2065)\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3016811*c - 3016742*c + 29 - 15.\nAnswer: 69*c + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1735 by -5.\nAnswer: -347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42903430?\nAnswer: 2, 5, 251, 17093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p + 1. Let w(o) = o**4 - 11*o + 6. Let c(q) = 11*b(q) - 2*w(q). Differentiate c(x) with respect to x.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 5*z + 113 + 195, 18*s + 3*z = 6240. What is the remainder when 706 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s = 4*s + 18 - 10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -1\/126*k**7 + 1\/90*k**6 + 0 + 0*k**2 - 1\/9*k**3 + 1\/20*k**5 + 7*k - 1\/36*k**4. Determine f, given that a(f) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 232 + -105a4?\nAnswer: -10372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 2122*h + 88418. Give t(-41).\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 119513591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 13. Let q = t - -2. What is the greatest common factor of q and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4*k**3 - k**2 + k - 2. Calculate u(-3).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 6 - 16, 5*s - 7 = -4*w. Let o(j) = 44*j**2 - 2*j - 1. Let f be o(-1). Suppose 2*l - f = -s*l. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.02 < -35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -416.47 - 8.53. Let r = 424.9753 + w. What is r rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 960 + -639. What is the highest common divisor of 107 and i?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3292287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/66 and -87\/352?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 645 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/20)\/2 + 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0*v + 160 = 2*v, 154 = 4*o - v. Calculate the greatest common divisor of o and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (20 - -2)) + -95 + 102 - 1\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 6*q**5\/5 - 20*q**3\/3 + 12. Find the third derivative of f(o) wrt o.\nAnswer: 144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 4677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -5.2. Let s = -0.7 - p. What is the biggest value in -1, 0.2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1505277 is divided by 6782.\nAnswer: 6455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 26 + 39?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/49300 and -83\/8390?\nAnswer: 41362700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -396 by 11.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6170 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -69395, -69387, -69351, -69275, -69147?\n\"Answer: 2*h**3 + 2*h**2 - 12*h - 69387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 93552 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11b48ab (base 14) to base 2.\nAnswer: -100000011011110101100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-517*h - 463*h + 1057*h - 1)*(6 + 6 - 4)*(2*h**3 + h**3 + 0*h**3).\nAnswer: 1848*h**4 - 24*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2428*j + 2415*j = 247 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 721019?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 7:03 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 1 + -5)*-1. Let w(o) = -2*o**4 + 4*o - 2. Let j(f) = -4*f**4 + 9*f - 5. Let l(x) = n*w(x) - 2*j(x). What is the second derivative of l(h) wrt h?\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-7) + 19422\/546. Suppose 2*z + 3*z = o + 44, -2*o = -2*z + 16. What is the highest common factor of z and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s - 1 + 4*s + 9. Let b be 1\/((3\/3)\/2). Suppose 5*h = g + 9, 0 = b*h + 3*h - 15. Let i(o) = -2*o - 17. Calculate g*i(q) + 13*x(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - a = -0*r + 2, 5*r = -2*a - 4. Let c be 11 + 0 + 9\/(-3). Let t = c - r. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4*b**2 - 7*b - 45. Let a(z) = z**2 + 2*z + 11. Let c(j) = 9*a(j) + 2*t(j). Let m be (-2 - (-13)\/4)\/((-1)\/8). Is c(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 117043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/2 - (-1 + -36 - -2). Let a = p - 29. Find the third derivative of 0*z**2 - a*z**5 + 0*z**2 + 3*z**2 wrt z.\nAnswer: -420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 723*f**2\/5 - 729*f\/5 + 6\/5.\nAnswer: 3*(f - 1)*(241*f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18*7\/56*82\/41.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33614*g**5\/5 + 38416*g**4 - 87808*g**3 + 100352*g**2 - 57344*g + 65536\/5 = 0.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 10 - 1 + 4*g + (4 + 3 - 3)*(-4*g + 4*g + g) - 9*g + 2 + 0*g + 0*g as l + b*g and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -675*g**3 + 193*g**2*k**2 - 41*g*k**2 + 2531*g wrt g.\nAnswer: -4050*g + 386*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 298758.1km in micrometers?\nAnswer: 298758100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -74*c*g**2 + 150*c + g**2 wrt g?\nAnswer: -148*c*g + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 68\/3 - 9\/(-27). Suppose 10*f - 6*f = -44. Let m = q + f. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 153*w - 1364. Let v be u(9). Solve 3*n + d - v = -9, -4 = -d for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.418 - -2.558. Let r = -0.1 + 0. Is n < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -941530000 to the nearest one million.\nAnswer: -942000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4838*h**3 - 4842*h**3 + 7956 - 7956.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 71\/5 of a millimeter?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 314.2 + -314. What is the nearest to 3\/5 in -5, h, 0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 4. Let l be r(0). Let f be (-3 - 0) + l\/(-10) + 3. Let u = -6 + 6.3. Sort f, u, -1\/3 in descending order.\nAnswer: f, u, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**3 + 3*h**3 - h**3)*(2*h - 1 + 1) - 3*h**4 + 5*h**4 + 0*h**4 + (9 - 9 + h)*(-44*h**3 - 118*h**3 - 758*h**3).\nAnswer: -922*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*(-7)\/(-42)*3 + 110. What is the highest common divisor of q and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a - 39. Let i be j(12). Let o(w) = 7*w**2 + 12*w + 7. Calculate the remainder when 336 is divided by o(i).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(91)*1*6)\/(sqrt(21)\/sqrt(3)*-5)*-1.\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-399)\/(-285))\/(3\/((-20)\/(2\/1)))\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - x - 4. Let t be b(-3). What is the second derivative of 3*k**3 + 0*k - 3*k - t*k**3 + 4*k wrt k?\nAnswer: -30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3 = -1. Suppose -o*v + 11 + 17 = 0. Calculate the highest common factor of 126 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*w + 8*w + w)*(-1 + 5 + 0)*(1 + 0 - 4 + (-2 - 1 + 1)*(0 + 3 - 1)) to the form x*w + c and give x.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-5) + 8\/(-20). Let n be -3*(76\/(-12) - -6). Let m(v) be the third derivative of v**4\/24 - v**3\/2 - v**2. Let u(q) = -1. Give f*m(b) + n*u(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g + 3231 - 3273 = 0. Sort 22, g, -1 in descending order.\nAnswer: 22, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 + -35. Suppose s + 18 - 81 = 0. Suppose -13*d + s + 119 = 0. Are d and r unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5296278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 70? (a) 3\/253 (b) -1\/5 (c) -3 (d) 5 (e) -2.1 (f) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6374?\nAnswer: 2, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzylllyylzzz. What is prob of picking 1 y and 1 z?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5*s + 6*s**2 + 0*s + 1 - 5*s**2 + 2*s. Let v = 0 - 0. Suppose 2*n + 1 - 3 = v. Give r(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 8 = -30. Let v(y) = -2*y**3 - 7*y**2 + 3*y - 1. Let a be v(-5). Let f = -57 + a. What is the lowest common multiple of p and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1205 divided by 4\nAnswer: -1205\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130512192 divided by 4.\nAnswer: 32628048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31.7? (a) -4\/7 (b) 494.3 (c) 4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of 5*v + 0 - 1\/3*v**3 + 0*v**4 + 0*v**2 + 1\/40*v**5. Find b such that u(b) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**2 + 4476*i + 8948 = 0.\nAnswer: -4474, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7\/2 - 129\/38. Is -1 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (28\/(-8))\/(2\/(-12)). Let c = 24 - j. Suppose 4*h - 144 = 4*z, h - c*z + 4*z = 26. What are the prime factors of h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, m: 3}. Give prob of sequence yy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 54*o + 270. Calculate the remainder when d(-4) is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1))**(7\/6)\/(i**(1\/3)*i**2*i*i))\/(i**(-2\/15)*i*(i\/(i*i**(-3)\/i))\/i)**(-3) assuming i is positive.\nAnswer: i**(61\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o - 40*o + 114931 = 0. What is the thousands digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 12, -z - 4*u + 82 = z. Let t = -32 + z. Let i be (t - (1 + -3)) + 3. Does i = 39\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8948710 divided by -5?\nAnswer: 1789742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m. Let b(h) be the third derivative of 5*h**4\/8 - 208*h**2. What is b(f) - 4*t(f)?\nAnswer: 11*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9733?\nAnswer: 9733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -54288, 5, 121 in descending order.\nAnswer: 121, 5, 4, -54288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 11*k + 11. Let p(j) = -5*j + 1. Let d(n) = -6*n + 2. Let q(u) = 3*d(u) - 4*p(u). Determine 11*q(a) - 2*v(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-15)*10\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -180 - -223. Let m = 44 - f. What is the third biggest value in 0.05, m, 1.2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40539685?\nAnswer: 5, 23, 61, 5779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 18\/2741201?\nAnswer: 18\/2741201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.2, 3, -1\/4, -1, -4.\nAnswer: -4, -1, -1\/4, 2.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j + 5*j + 3 - j**2 + 0*j. What is the units digit of q(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 392985245 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: Round -0.0000007566 to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*1*231\/42*21\/(-9471)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-2) - (-1 - -63). Let s = -50 - b. Solve s = -l + 6*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.014, 4, -1, 0.1 in decreasing order.\nAnswer: 4, 0.1, 0.014, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 7 = 21. Suppose 5*b + 4*h - 4 = 4, -5 = -5*b - 5*h. What is the remainder when s is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5373, 10720, 16069, 21420?\nAnswer: 26773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22036*z - 11671*z - 39843*z.\nAnswer: -73550*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q - 6. What is the tens digit of u(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2781093, 5562195, 8343299, 11124405, 13905513?\nAnswer: 16686623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1785*(-185)\/6475)\/(6\/(-2)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 8*n**2 - n. Let d(f) = f**3 - 8*f**2 - 25*f + 56. Let l be d(10). Let x(h) = 15*h**2 - 2*h. Give l*x(m) - 11*b(m).\nAnswer: 2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 3:50 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of (-7)\/((-70)\/354644) - (-78)\/(-195)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 775202 by 387601.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*sqrt(171) + -1) + (sqrt(95)\/sqrt(5)*6 - (4 + sqrt(19) + 1)))**2.\nAnswer: -506*sqrt(19) + 10172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((432\/(-297))\/8)\/((-8)\/(-22))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, o: 1, v: 4}. What is prob of sequence vs?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a microsecond in nanoseconds?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 324*q + 21. Is m(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -2, -2\/23, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*d - 24, 28901 = 5*z - d - 6112. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6275002862?\nAnswer: 2, 71, 44190161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(((-621)\/1472)\/((39\/52)\/(-1)))?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 - 736*n**2 + 25410*n - 108900.\nAnswer: 2*(n - 330)*(n - 33)*(n - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45217, 83753, 122289, 160825, 199361, 237897?\nAnswer: 276433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**4)**(3\/22)*(c*c**(2\/7)\/c)**(1\/5) assuming c is positive.\nAnswer: c**(232\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 130 + -130. What is the nearest to -1 in r, 5, 15?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 4 = 35*x - 31*x, 2 = -u for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 208863*g**5 + 3*g - 4300 wrt g?\nAnswer: 4177260*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 988 + -964. Calculate the least common multiple of w and 20.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.06 (b) -1 (c) -23\/6 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 121\/10. Let z = 1.5 + 8.5. Let l = z - 5. What is the second smallest value in u, 0, l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 6*f**2 + f + 7. Calculate the remainder when 38 - (-2)\/(-5 - -3) is divided by w(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 2, -2\/7, 17?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*o**5 + 24*o**4 - 6*o**3 - 21*o**2 + 62*o wrt o?\nAnswer: 180*o**2 + 576*o - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.95398 + 318300.\nAnswer: 318314.95398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 0.5 (c) -0.1 (d) -79 (e) -9\/175 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*x - 395700 = -8628. What is the thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 903489?\nAnswer: 3, 457, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 13, 17, 2 in increasing order.\nAnswer: -3, 2, 13, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 + (-693)\/(-36))*(-5)\/((-15)\/132).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94600008 divided by 27516?\nAnswer: -3438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1500 and 195420.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j. Let i be (-7)\/2*4\/(-7). Let u(g) = 3*g**2 - 21*g**2 + 66*g**i. Determine d(u(w)).\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300 is divided by 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 22334 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00109768 rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a micrometer in nanometers?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8455676*z**3 + 6958524 wrt z.\nAnswer: -25367028*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 5*a**2 + 4*a + 1. Let t be x(-4). Let m(s) be the second derivative of -s**3\/3 - s**2\/2 - 23*s. Determine m(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -23493218 and 2021?\nAnswer: 23495239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2432 is divided by 244.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f - 3. Calculate v(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/4)\/(4\/64). Let h be (18\/b)\/(9\/6). What is the closest to 0.2 in -1, 0.5, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-24)\/30)\/(54\/15915). Let x = 236 + z. Determine k, given that 0 + x*k**2 - 2\/9*k = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2bc (base 14) to base 7\nAnswer: -1425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -l**5 - 7*l - 7. Find the first derivative of x(u) wrt u.\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7412 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cz when two letters picked without replacement from zzcz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2432, -4864, -7296?\nAnswer: -9728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -184 in -0.1, -2, 0.14?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-62 - -60) + 8 + 9 - -17\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 + 4 - 4)*(-117 + 117 - 3*y) + (-1 + 2 + 5)*(-1 + 2*y**3 + 1 + 2*y).\nAnswer: 9*y**3 + 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -12740 divided by -14\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) - -1*sqrt(1008) - (sqrt(63) + sqrt(315)\/(sqrt(5) + sqrt(5)*-2)))*-3)\/((-1*sqrt(225) + sqrt(225) + -6*(sqrt(9)*-1 - sqrt(9)))*-6).\nAnswer: 5*sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 14 + (51 - (-2200)\/(-55))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b**2 + 23*b*u**3 + 90*b*u**2 - 70*u**3 + 13 wrt b?\nAnswer: 2*b + 23*u**3 + 90*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1594911 a multiple of 641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -274*t**2 + 130.\nAnswer: -548*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -3*k**5 - 27486*k**4 - 83942196*k**3 - 85452764616*k**2 + 1343075904*k + 1367251270272 = 0.\nAnswer: -3054, -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1, 185 in increasing order.\nAnswer: 1, 7, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34*-1*(3 + -4)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 45 = -25 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4516*j**2*v**3*x + 400146*j**2*v**2 - 689*v**3*x - 25*v**3 wrt x.\nAnswer: -4516*j**2*v**3 - 689*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 426030032 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39573 is divided by 90.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 383 a factor of 214648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 7*d**2 - 6. Let n be h(-7). Let f = n + 9. Let k be (-3)\/(f\/4 + -1). What is the highest common factor of 12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42113, 42122, 42135, 42152, 42173?\nAnswer: 42198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = z - 0*z + 133, 0 = -v - 4*z + 29. Let h = 38 - v. Solve 2*b = 6, -h*i + 8 = -0*b - 4*b for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, -7, -4, -2\/17, 0.4, -0.15?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 1 - 2*d + 227*d**3 - 112*d**3 - 114*d**3. Let q(o) = 3*o**2 - 2*o + 1. Let v be q(1). Give s(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2707016498.\nAnswer: 2, 14813, 91373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-67)\/28944*27*752.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -918, -3.9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088) + ((sqrt(1088) - (sqrt(1088) + 2))*-4 + sqrt(1088) - sqrt(1088)).\nAnswer: 8 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 4 - (5 - (7 + 1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/2)*i*i**7)\/((i\/(i*i*i*i*i**(-1\/3)))\/i)**(-3\/14) assuming i is positive.\nAnswer: i**(47\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -21.64, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -7*2*1323\/(-54). Suppose 85 = r + 3*u, -3*r + 2*u + z = 66. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31955 - 32935 = 35*f for f.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and -18?\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, 7, -549?\nAnswer: -549","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + 469?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 103111 (base 4) to base 10\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -7*d**3 - 5*d**2 - 6*d. Let v be q(-1). Suppose i + 1 = v. Calculate the remainder when 9 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 21*k**2 + 19*k - 16. Let m be a(-20). Let o = 6 + -3. Find the third derivative of 20 + 6*g**2 - o*g**2 - 20 - 12*g**m wrt g.\nAnswer: -288*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4*(sqrt(147)*-1)**2 + 4*((4 + sqrt(75))**2 + 5).\nAnswer: -206 + 160*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -14*h + 16*h + 2, 0 = -5*t + 5*h - 25 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, m: 2, i: 1, a: 1, k: 4, g: 6}. Give prob of sequence imk.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63 + 71. Solve -8*m + 6*m = f for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 20, -2, 5 in descending order.\nAnswer: 20, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -995\/6 + 170. Let v = -30 - -48. Let s = -15 + v. Which is smaller: d or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 8, 1, -5 in ascending order.\nAnswer: -8, -5, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 859 = 45*l + 224 - 220 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-two fifths of a litre?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g + 10*g + 9*g + 1027 - 35*g + 7*g.\nAnswer: -2*g + 1027","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m + 9*m = -45. Suppose -2*d = -18 + 6. What is the second derivative of -57*r**2 - r - d*r + 57*r**2 + 16*r**m wrt r?\nAnswer: 320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 220\/1188*(-12)\/(-10)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 13*x**2 - 6*x - 6. Let q(p) = 2*p**3 + 12*p**2 + 7*p + 8. Give 4*i(m) + 3*q(m).\nAnswer: 2*m**3 - 16*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -9) + (-16 - -15).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3)*i*i**1\/i)\/(i*i**(-7\/3)*i*i**6)*((i*i*i**4*i)\/i**(-5))\/(i**(2\/5)\/(i**(-1\/4)*i)) assuming i is positive.\nAnswer: i**(421\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2339 or -48\/131?\nAnswer: 2339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 598399932 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -174\nAnswer: 1\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 63 + (-6*1)\/(-3). Suppose 4*a + 75 + 73 = 0. Let t = a + q. Calculate the remainder when t is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2788908 rounded to the nearest ten thousand?\nAnswer: -2790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340 is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + n**2 - n + 3. Let x be o(0). What is the derivative of -x - 2 + 2 + 2*m**3 + 2 wrt m?\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -101.76 - -101. Let q = c + 0.7. Let l = q + -7.94. Which is smaller: l or 2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 65\/(-30) - 6\/(-9). Let t = -0.15 + 0.2. Put 5, b, t in ascending order.\nAnswer: b, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57230*c**2 - 23*c - 1091 wrt c?\nAnswer: -114460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116, -117, -130, -161, -216, -301, -422?\nAnswer: -585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 5:22 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/1708533 and -17\/4.\nAnswer: 6834132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.032 and 0.172043058.\nAnswer: 0.140043058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**3\/11 + 51573508*u**2\/11 + 51573510*u\/11 = 0. What is u?\nAnswer: -1, 0, 25786755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/1871425 and 71\/5239990?\nAnswer: 26199950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 287168.6 weeks to milliseconds.\nAnswer: 173679569280000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -12*k + 132. Let n be d(11). Calculate the common denominator of 9\/10 and 12\/(-16)*804\/(-234) - n.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*-1 - (-1 - -3). Suppose -7*t - 12 = -3*t. Which is greater: t or n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49858219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -24955*r + 34. Let k(m) = 5*m. Determine o(k(g)).\nAnswer: -124775*g + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 1. Let m be 0*2\/12*-2. Let t be l(m). Let a(s) = -18*s**3 - 2*s**2 - s. What is the units digit of a(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 34 + -12 + 0 + 2. Let k = i + -23. Suppose -5*b - 64 + 27 = -3*n, b - k = 0. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6\/12*-24 + 6481?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(480)*2)\/((sqrt(150) - sqrt(150)*2)*-3).\nAnswer: 16*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15*(-9)\/(-180))\/(5\/(-4)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94, -17, 0, -1, -5 in descending order.\nAnswer: 94, 0, -1, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 136? (a) 1\/2 (b) -1 (c) -3616\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 148 = -146 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 385 in -16, -2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2\/3 - 6222*n - 39253136\/3 = 0. What is n?\nAnswer: -1768, 11101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1207 divided by -159.\nAnswer: -1207\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o**2 + 5 - 5)*(-7*o - o - 3*o) as v*o**3 + k*o**2 + d + w*o and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11989337.4 rounded to the nearest ten thousand?\nAnswer: 11990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24\/13 in -4, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 541076523?\nAnswer: 3, 13, 53, 67, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o**2 - 6*o - 1. Let b be t(-3). Suppose -b*q = -23*q - 375063. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 6*z + 5*c - 1 = 0, -5 = 4*z - 3*c. List the prime factors of 1*-2*23\/z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -331636 (base 7) in base 12?\nAnswer: -29894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 1328954684.\nAnswer: -1328954683.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/460 and 13\/8.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3378091.\nAnswer: 103, 32797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -215064 (base 8) in base 12?\nAnswer: -35984","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 76569 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 - 4*s - 22. Suppose -4*m + 7*l + 39 = 2*l, 2*l = -m. What is the tens digit of u(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254532506?\nAnswer: 2, 31, 4105363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does -727014 = -727013?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 155325 (base 6) to base 4\nAnswer: 3301211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {r: 5, m: 14}.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.161155ms in minutes?\nAnswer: 0.00048601925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -518047, -2\/11, 1, 74\/5 in descending order.\nAnswer: 74\/5, 1, -2\/11, -518047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (651*u - 16535*u - 4 + 4)*(5*u**3 + 6*u**3 - 6*u**3).\nAnswer: -79420*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*s**3 + 0 + 9\/4*s + 3*s**2.\nAnswer: 3*s*(s + 1)*(s + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3132)\/10962)\/((-2)\/(-35)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 82407857505.8 - 0.\nAnswer: 82407857505.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (4 - 1)\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 16 + 10)*(i - 5*i + 0*i).\nAnswer: -80*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3429, 3408, 3385, 3360, 3333, 3304, 3273?\n\"Answer: -l**2 - 18*l + 3448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 1:19 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*n - 33*n = -60 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 5*z = -40. Let v(b) = 2*b - 11. Let w be v(z). Suppose -c - 81 = -4*c - w*n, 0 = -5*c - 2*n + 135. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (h - h - h**2)*((-5 + 2 + 5)*(0 + 3*h + 0) + 93 + 469*h + 47*h - 94) in the form o*h + l*h**2 + d*h**3 + q and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3721 and 122?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 334642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3764082631?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 - 3*i**2 - i**2)*(786 + 204 - 385 + 2*i) + i**3 - 4 + 4.\nAnswer: -7*i**3 - 2420*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 - 8468*x + 192648.\nAnswer: 4*(x - 2094)*(x - 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10186670 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2211.\nAnswer: 3, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -6\/11 (b) -0.02 (c) 11 (d) -0.4 (e) -2\/11 (f) -611\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17311 and 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35 and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 150 or 208?\nAnswer: 208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(138\/(-460) + (-6969562)\/(-23231740)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 175338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (431*y - 54*y + 100*y)*(-3 - 2*y + 3)*(3 - 1 - 4) to p*y + o*y**2 + a and give o.\nAnswer: 1908","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxuexexueuxeux. What is prob of picking 1 x and 1 u?\nAnswer: 25\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -7*x**2 + 7. Let c(v) = v. Let z = -13 + 12. Let b(f) = z*l(f) - 6*c(f). Let n(d) = 2*d. Determine b(n(a)).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 61, 251, 569, 1015, 1589, 2291, 3121?\n\"Answer: 64*g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 294.8995315935.\nAnswer: 295.8995315935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*c - 1 + 26*c + 0 as u + v*c and give v.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -480 divided by 160\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*o**6*z**2 - 2025*o**4*z**2 - 97*o**2*z**2 - 3*o**2*z + z**2 wrt o.\nAnswer: -720*o**3*z**2 - 48600*o*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2 = 2*p - 0, -p = g - 4. Suppose g*t - 75 = 27. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (5 + (-1537)\/203)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.6 + -6.6. Which is the closest to u? (a) -2\/3 (b) -2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m - 2. Let n(y) = -7*y - 4. What is -7*h(g) + 3*n(g)?\nAnswer: 7*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 144*y**3 - 126*y**2 + 21. Let l = -67 - -46. Let w(p) = 29*p**3 - 25*p**2 + 4. Let d(i) = l*w(i) + 4*h(i). Find the third derivative of d(u) wrt u.\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 37. Let j = 36 + h. Calculate the greatest common factor of j and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-6*(-4*-2*sqrt(114))\/(sqrt(6) + sqrt(540)\/sqrt(10)).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 264*i**2 + 8399*i + 3. Give b(-227).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**5\/60 - v**3\/3 - v**2. Let x be a(-3). Let b = x + 32. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 8)*(-41 - 36*t + 2*t**2 + 35*t - 98)*(-3*t + 0*t + 2*t).\nAnswer: -18*t**3 + 9*t**2 + 1251*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -28*f + 85. Let l be b(9). Let d = -158 - l. Solve -2*y = -5*y - d for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 13*p**2 + 6*p + 0 - 2 + 4*p**2 - 11*p**2 + p**3. Let o be v(-5). Let w = 24 + o. What is the remainder when w is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110111 (base 2) to base 11.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 4, n: 7}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6877\/4 + -1740. Let y be (0 + 99\/6)*-2. Find the common denominator of j and y\/18 + 2\/(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 12*p**2 + 48*p + 8. Does 33 divide m(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 2 (c) -59.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 7*i - 42 = -2*t, 2*i = -3*t - 2*t + 21 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00014376005 rounded to 6 dps?\nAnswer: 0.000144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*c + 1966. Let d = -448 + c. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1232 rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -12565779.88 to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8809 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76705285 by 1.\nAnswer: -76705285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -15, 17, -186 in increasing order.\nAnswer: -186, -15, -1, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 63 + 2*k - 26 - 30 - 9*k - 6*k. Let g(o) = -6*o + 3. Calculate 9*g(x) - 4*u(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 805*s + 263. Is r(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -3.5. Let i = -507.2 - -507. Which is greater: i or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22463, -44889, -67315?\nAnswer: -89741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 4 + 0*o - 2*o + (0 - 1 + 3)*(-2*o + 0*o + 0*o) + o + 2*o - o.\nAnswer: -4*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 11:20 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o - 16. Let j be q(13). Let h be -1 - (-1)\/(-2 - j). Suppose h*s = -s. Which is greater: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and -90440.6712.\nAnswer: -90438.6712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w - 42. Give f(21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**5 - 12*z**4 - 57*z**3 - 42*z**2 = 0 for z.\nAnswer: -2, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-330)\/(-9))\/(-5) - (-24)\/36)\/(36\/(-351))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bbbbbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 730210 and 2466?\nAnswer: 6571890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l - 2. Let g(x) = -5*x - 1. Determine 6*g(u) - 7*q(u).\nAnswer: -2*u + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57926 = 17*u - 61054. Suppose 2*o - 45 = 31. What is the remainder when u is divided by o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*((sqrt(425) + sqrt(425) + -1)*4 + -2))**2.\nAnswer: -48000*sqrt(17) + 2723600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*a + 90, -h + 4*a + 2 = -27. Calculate the least common multiple of h and 12\/16*((-19)\/(-3) - 5).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2214 - -127?\nAnswer: 2343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*i**4\/11 - 644898*i**3.\nAnswer: 6*i**3*(i - 1182313)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1477 + -1463. What is the highest common divisor of v and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 2:27 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-65820020)\/(-30) - (8\/3 + -2). What is s rounded to the nearest one hundred thousand?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.9 + 0.1. Let a be 132\/(-462)*(-14)\/(-6). Which is bigger: a or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5959, -3.\nAnswer: -3, 6, 5959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 b when two letters picked without replacement from {s: 2, c: 1, z: 5, h: 5, b: 1, e: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p**3 + 3*p**2. Let k(v) = -23*v**3 + 17*v**2 + 1. Let u(a) = -42*a - 132. Let s be u(-3). Give s*k(l) + 34*w(l).\nAnswer: 2*l**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 9:32 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 81 + -174. Suppose 14 = -0*a - a - 5*l, -4*l + 12 = 0. Let x = a - c. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11002 (base 4) in base 13?\nAnswer: 1ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11507*l**2 + 9*l - 21*l - 11418*l**2 + 11*l.\nAnswer: 89*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 944.88239 rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 769 + -541. List the prime factors of d.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fdfx when four letters picked without replacement from xxcxdxcff?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - -2)*(-15)\/2. Let s be 2\/(-4)*-2 - (21 + -21). Suppose 5*g = 20, y + s = 5*g - x. What is the highest common divisor of y and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3745854 and 588.\nAnswer: 7491708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - 0.29. Which is the second biggest value? (a) -0.1 (b) 0.3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2876\/11 + 262. Which is the third smallest value? (a) 5 (b) z (c) 5\/3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/385986 and 24\/271309.\nAnswer: 37440642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 12 = 4*h. What is the least common multiple of 16 and h?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/5 - (-176)\/(-80). Let w(m) = -2. Let c(j) = j - 3. Let l(r) = k*c(r) + 3*w(r). Let p(t) = t - 5*t - 3*t. Determine l(p(y)).\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 15 = 5. Solve l*x + 23 = 4*a, 4*x = 7*x - 2*a + 13 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence coc when three letters picked without replacement from {c: 2, o: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 531595353?\nAnswer: 3, 53, 67, 139, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/4 - (-372)\/248?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-1159.79973\nAnswer: 1159.79973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4 + 0 + sqrt(19) + (sqrt(19) - sqrt(57)\/(sqrt(12)\/sqrt(4)))))**2*-5.\nAnswer: -2800 - 640*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + g - 48 = -4*i, 0 = 5*g - 5*i - 165. Suppose 34*a - g*a + 12 = 0. Suppose -2*c + a*c - 12 = 0. Solve 6 = -m - z + 2*z, 3*m = -c*z - 12 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52.6 + -52. Put -5, -2\/5, w, 2\/9 in decreasing order.\nAnswer: w, 2\/9, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -4, 0, 3 in descending order.\nAnswer: 3, 0, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 82650590, 165301179, 247951768, 330602357, 413252946?\n\"Answer: 82650589*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -3, -4 in descending order.\nAnswer: 5, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*g = -4 - 8, 3*l - 4*g - 16 = 0. Let v(j) = -j**3 + 2*j**2 + 3*j - 4. Let m be v(-3). Calculate the highest common factor of l and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 875 and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**3\/3 + 49*v**2 + 735*v + 4375. Factor a(b).\nAnswer: -(b - 105)*(b + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -t**7\/630 - t**6\/360 + t**5\/180 + t**4\/72 + 11*t**2\/2 - 8*t. Let q(f) be the first derivative of h(f). Factor q(u).\nAnswer: -u*(u - 1)*(u + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*(0 - (-6)\/(-8)). Suppose 5*n - 47 = -k*t, 0*t - t = -5*n + 31. Let z(c) = c**2 - 6*c - 4. What is the units digit of z(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a + 1. Let p(i) = -54*i**2 + i. Determine x(p(f)).\nAnswer: 54*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + -8 + 5 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = q + 14, 18283*u - 18280*u = -5*q - 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x + 1. Suppose 0 + 16 = 4*p. Let t(u) = u - 1. Suppose 10 = 5*k - 0. Let r(n) = -2*n + 4. Let f(c) = k*r(c) + 7*t(c). Calculate p*g(v) - 6*f(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(704) + sqrt(704) + 1 + sqrt(704)))**2 + (sqrt(77)\/(sqrt(175) - sqrt(175)*-1))**2 + 2.\nAnswer: 192*sqrt(11) + 2535011\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11758963400 rounded to the nearest 1000000?\nAnswer: 11759000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 - 2110?\nAnswer: -2125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 2*c + 17, -2*b - c = -b + 4. Suppose 0 = -5*g - 13 + 3. What is the nearest to -2\/3 in g, b, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4363 by -4.\nAnswer: -4363\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j**2 + 30*j**4 - 5*j**2 - 26*j**4)*(-2*j + j + 0*j) - 1 - 2 - 3*j**5 + 4 + 8*j.\nAnswer: -7*j**5 + 10*j**3 + 8*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255498554.\nAnswer: 2, 1499, 85223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 divided by 21?\nAnswer: 97\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*k - 21*k = -6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1900) + 3) - (-2*sqrt(1900)*-1)**2.\nAnswer: -7615 - 50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-167*q + 2 + 82*q + 92*q)*(-3*q**3 - 5*q**3 + 2*q**3).\nAnswer: -42*q**4 - 12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -294.4, 0.4, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/3)\/((-5)\/30) - 0. Is -17\/13 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19190109?\nAnswer: 3, 6396703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52.06*-1.\nAnswer: -52.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -6. Let n = a + 6. Let z = 41 + -1105\/27. Which is bigger: z or n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3774228*z**4 + 995125*z?\nAnswer: 45290736*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -57 - -42. Let i be (-9)\/(b\/5) - -9. What is the highest common divisor of 108 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16089 to the power of 1\/2, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39*r**5*x**2 - 13*r**3*x**2 + r**2*x + 52*r*x**2 + 17*x wrt r.\nAnswer: -2340*r**2*x**2 - 78*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 4:42 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 171*f + 3*s + 3*s - s - 177, 5*f + 3*s - 23 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**2 + 50*t - 204. Let f be r(8). Solve -2*y - 2*w = 2*y - f, 3*w + 9 = -y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13695897.\nAnswer: 3, 17, 268547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + -2 + sqrt(720) + 4)**2*3.\nAnswer: 288*sqrt(5) + 8652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 - 568*d**2 - d + 568.\nAnswer: (d - 568)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 4*s - 6*s - 13, 3*g + s = 16. Solve -g*n + 0 = -5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p - 4*p - p**4 + (-1 - 3*p + 2*p - 1)*(-5306*p - 12*p**3 + 5306*p).\nAnswer: 11*p**4 + 24*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-20)*40\/32 - (-56)\/160. What is the biggest value in 0.2, -0.861, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 592.1468 - 0.1468. Let n = -592.000001383 + i. Round n to seven dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b. Let v be y(3). Let t = 5 + v. What is the third derivative of -x**2 - 4*x**3 - t*x**3 + 4*x**3 wrt x?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8184\/7 not equal to -1170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62327594.\nAnswer: 2, 7, 149, 29879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 5:35 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 7 - 15 = 4*v, 4*v + 4 = -2*m. Let p(t) = -t**3 + 7*t**2 + t + 8. Let j be p(m). What is the greatest common divisor of j and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -2\/11 in decreasing order.\nAnswer: 0, -2\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 227*y - 2496. Let f be l(11). Sort f, -76, 20 in decreasing order.\nAnswer: 20, f, -76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*u**2 - 8*u**2 - u**2 + (-23*u - 8*u - 4*u)*(0*u + 0*u + 2*u).\nAnswer: -66*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15*((-4)\/12 + 2\/3). Let h = m - 21. What is the hundreds digit of -4*514\/h + 2\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31\/5 - -149\/20. Let x(o) be the first derivative of 4*o + 0*o**3 - j*o**4 + 0*o**2 + 1. Differentiate x(i) with respect to i.\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45314350 to the nearest integer?\nAnswer: 6732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2523, 1.\nAnswer: -2523, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + (1 - 2) + 0. Suppose 0 = 2*u + 4*f + 6, u + m*f = -24 + 6. Suppose -370 = 2*q - u*q. Round q to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 0 - 8*j + 0. Let i(x) be the first derivative of -x**2 - 93. What is i(u(o))?\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 431244769 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 446 divided by 2\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmhhmyyymyy. Give prob of picking 2 h.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9887 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/3 + 40\/(-66). Let n = 24 - -34. Let s = 58 - n. Which is smaller: s or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g - 21*g + 170 = -45*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 6*c - 8. Let n be u(-8). Let a = -4 + n. Solve 20 = a*s + s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 14*p - 11. Let r(c) = -11*c + 10. Let l(d) = -3*i(d) - 4*r(d). Calculate l(12).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1425*h - 2*k = 1427*h - 24, 0 = -4*h - 5*k + 57 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 6*x - 251. Let h be f(-11). Let g = h - -320. Solve -2*p = -6, g*p + 3 = -2*o + 12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -8 + 2404. Suppose -5*k + 2464 = -3*w + q, 5*k = -w + 1865. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f**3 - 52*f**2 + 81*f - 11. Let c(z) = -2*z**3 + 35*z**2 - 54*z + 7. Let h(w) = 10*c(w) + 7*s(w). Determine h(12).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -103. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.18 (b) 5 (c) -5 (d) -1\/2 (e) -3 (f) 1353\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13620, 13365, 12782, 11865, 10608, 9005, 7050, 4737?\nAnswer: 2060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 30 + 9 = 3*c, 4*f - 2*c = 22. Let h be 0*(-1 - (-2)\/f). Solve z + 6*n + 16 = 2*n, h = 3*z - 3*n - 27 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 543202667.\nAnswer: 7, 77600381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 9*o**2 - 2*o - 11. Let r be (-1 - -6) + 1 + 2. Let g be b(r). Suppose 3*j = -4*w + 2 + 40, -w = -4*j + g. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -30*u - 8. Let n be o(-4). Suppose -i + n = 6*i. Suppose 3*q**3 + i*q + 10*q**2 - 3*q + 2*q**3 - 8*q = 0. Calculate q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010111011011110101 - 101?\nAnswer: -1010111011011111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 9*t - 7*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.4 - -5. Let j = -0.02 - 1.68. Let l = j - i. What is the closest to 1 in 2, l, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13338 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**3 - o + o + (-14*o**3 - 161*o**3 - 7*o**2 + 13*o**2)*(3 - 2 + 0).\nAnswer: -177*o**3 + 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 0 - -1) + (0 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + f - 22 - 1 = 0, 3*k + 5*f = 19. Suppose -k*n = -780 - 892. Is 21 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 845, 5, 10, -1 in descending order.\nAnswer: 845, 10, 5, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -90118330 to the nearest one hundred thousand.\nAnswer: -90100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 381 a factor of 353568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2354982615.99999939 + -2354982473. Let i = -2.58 - 140.42. Let t = n + i. What is t rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 124569173 times 0.3\nAnswer: 37370751.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 8 + 13*r**3 - 10*r**3 + 55*r**3)*(-2*r - 10 + 10).\nAnswer: -116*r**4 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 20 = -0*o. Let g(y) = y**2 + 5*y + 3. Let d be g(o). Calculate the common denominator of -2*(-238)\/24 + d and -31\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175 = -23*c - 37 - 133 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -108*z + 5*z + 53*z. Let h(q) = 2*q**2. What is c(h(f))?\nAnswer: -100*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2379 - 16603\/7. Is j smaller than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeleekkekeemtekxeeee. Give prob of picking 1 l, 1 x, and 1 m.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6603003119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 413853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1166*z**3 - 2281*z**3 + 477*z**3)*(3*z + 1 - 1).\nAnswer: -8910*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 10:22 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - a - 51 = 0. Calculate the remainder when a is divided by 1*(-21)\/(-7) - -10.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*y**3 - 8670*y**2 - 58872*y + 17528.\nAnswer: 2*(y - 626)*(y + 7)*(7*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -355 - -393. What is the common denominator of 95\/n*148\/160 and -54\/5?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 10 = -10, -5*p = -u - 85. Suppose -5*y + p = -9. Solve 0 = i - o - 5, -2*i - 1 + 4 = y*o for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4119 + 50?\nAnswer: -40a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -5. Let m = j - -5. Suppose -d + m*d = -4*p + 18, d - 6 = -2*p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8665 - 22042.2\nAnswer: -13377.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f - 16. Let t be x(10). Suppose -5*u + 2*d + 88 = 5*d, 5*u + t*d = 84. What is the common denominator of u and 459\/(-15) - (-2)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -99455 - -145398. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(1\/2)*w**(-1\/5))\/(w\/w**8)**(-45) assuming w is positive.\nAnswer: w**(-3127\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3209 is divided by 221?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w + 92 - 704 = 0. Suppose -10*s + 214 = w. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 26*((-52)\/8 + 6) + (-1 - 2). Let k(l) = 2*l**2 + 33*l + 28. Give k(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 202605 and 429?\nAnswer: 2228655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 350 + -349.9793. Let j = h - 0.020698685. Round j to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0\/(a\/(a\/(a**(-4)*a)*a)))**(-6\/17)\/(a**(-3\/7)\/a**7)**40 assuming a is positive.\nAnswer: a**(35192\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 91322312 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1863\/4957 or 0?\nAnswer: 1863\/4957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rork when four letters picked without replacement from torktpruutroutu?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 12 = -21*f + 24*f, 3 = -4*f - g. Let c = -2 - -11. Suppose f = -c*y + 8 + 28. Solve 0*i + 16 = y*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, 308, 653, 998, 1343?\nAnswer: 1688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 + -38.8. Let r = -8 + m. Let h = r + -0.2. Which is smaller: 1\/2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4 = 0, -19*w = -15*w + d + 2. Let s(u) = -21*u**2 - 12. Let f(x) = -x**2 - 1. Calculate w*s(r) + 12*f(r).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 151 and 496.\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 0*v**2 + v**2 + v + 46 - 2*v**2. Let x be b(-6). Solve 3*n - 3 = -m - 9, 0 = x*m for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 2983.4?\nAnswer: -298.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 374 and 55.\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 6:13 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 16*f. Let n be t(2). Suppose -4*j - 2*r - n = 2*r, 0 = 4*j - 2*r + 8. Let y(q) = 3*q**2 + 2*q - 8. What is the units digit of y(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2299) + (sqrt(2299) - (sqrt(2299) + -4 + (sqrt(2299)*5 - sqrt(2299)))) + 1.\nAnswer: -33*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22618 (base 11) to base 5.\nAnswer: 2021224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**2 - 150*n - 5625 = 0.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189431*m**3 + 1 - 1 - 54806*m**3.\nAnswer: 134625*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 631 - 4971 = 4*a, 4*a - 5*n + 4385 = 0. What is a rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/593 (b) -2 (c) 4\/53 (d) -5 (e) 0.4 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -661 - -676. Let a(o) be the third derivative of o**5\/60 - 2*o**4\/3 + o**3 - 11*o**2. Give a(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 125*v + 38. Let z(o) = 2*o + 13. Calculate -m(f) + 3*z(f).\nAnswer: -119*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 6:51 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + -5 + 15 - (19 - 4).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 45 = i - l, -l = 2*i - 80. Let p(b) = -34*b**2 - i*b**2 - 39*b**2 + 110*b**2. Let z(q) = 56*q**2. Give z(p(d)).\nAnswer: 224*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-46)\/(-690)*15)\/(6\/2))\/((-5)\/(-990))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x + 10. Let v(u) = u + 11. Let p(k) = 4*m(k) - 3*v(k). Determine p(5).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -552792*d**3*s**2 + 2*d**3*s + 256913*s**2 wrt d?\nAnswer: -1658376*d**2*s**2 + 6*d**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 6. Suppose 0 = 4*k + 4*c - 24 - 0, 3*k - q*c - 11 = 0. Suppose 0*x + 2*i + 7700008 = -k*x, 0 = 2*x + 3*i + 3080012. Round x to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 26*t**3\/3 + 23*t + 2. Differentiate d(x) with respect to x.\nAnswer: 52*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 85\/23, -3, 2, -0.3, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 71 + 20)*(-4*q + 0*q - 4*q).\nAnswer: -432*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 745803.\nAnswer: 3, 173, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 0*r + 3*r + (2 - 4 + 5)*(-r - 2*r + r))*(3419 - 2615 - 1785).\nAnswer: 3924*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2566163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 785, 2255, 4083, 6269, 8813, 11715?\nAnswer: 14975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 4. Let s(n) = 2*n**3 + 5*n**2 + 4*n + 2. Let o be s(-2). Determine c(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 18, 5, -16, 2\/13, 3\/16, -0.4, -2\/733?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 453564 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*r**4 + 94841*r**3 - 11199036*r**2?\nAnswer: 336*r + 569046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*q**5 - 3940*q**4 - 112*q**2 + 11596985*q.\nAnswer: 60*q**3 - 47280*q**2 - 224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4)*m\/(m\/(m*(m\/(m\/(m\/(m**(-3\/8)*m))))\/m)))\/(m**(1\/8)*(m\/m**8)\/m) assuming m is positive.\nAnswer: m**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 23 (b) -15 (c) -0.071 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14*u**3 + u - 14*u - 4*u**2 + 10*u + 4*u**2 + 996 wrt u?\nAnswer: -42*u**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 2 = -9*f, -50 = 4*f + 2*j - 52 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 14 (c) -19 (d) 2\/3 (e) -53\/4 (f) -0.2 (g) 4\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.8 less than 27766?\nAnswer: 27754.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 106383, 108131, 109879, 111627, 113375, 115123?\n\"Answer: 1748*p + 104635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -34*v - 287. What is w(-18)?\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297 - 286 = -4*h - 5*z, -h + z - 5 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311 is divided by 53.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**5*s**4*s**(2\/15)*s**(-7)*s*s*s\/s**(2\/7)*s\/(s**(2\/11)\/s*s)*s**(-2\/9)*s\/((s**(1\/4)*s)\/s) assuming s is positive.\nAnswer: s**(85843\/13860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((0\/(-1))\/(-1))\/(-1))\/4. Let k = -698\/5 + 137. Let y = 101\/35 + k. Is n < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 199744962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + (-2*sqrt(76) - sqrt(76))**2 - (sqrt(76) - (5 + sqrt(76)*-2))).\nAnswer: -6*sqrt(19) + 692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 14 = 4*g. Let t(n) = -g*n - 4 - n + 6*n + 0*n. Let k(d) = -d**2 + 1. Let r be k(2). Calculate t(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*s = -36, -5*l + 2*s = -81 + 27. Let c(k) = -2*k**3 + 5 + k**3 - 4*k + 6*k**2 + 0*k. Let m be c(5). Is l at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 673\/4 (b) 0.3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -13*m**2 + 9*m + 10. Let v be y(-1). Let u(j) = -j**3 - 6*j**2 + j + 3. Let c be u(-6). Let z be (v\/(-92))\/c*2. Which is bigger: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/1156 and 79\/136586.\nAnswer: 78946708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4237*576.\nAnswer: -2440512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 287 + -243 + (-1 - 32)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/2 (b) 5 (c) 0.3 (d) -151601\/13 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/3 - 590*l**2\/3 + 85339*l\/3 - 28250.\nAnswer: (l - 339)*(l - 250)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -635*l**6\/3 - 194*l**3\/3 - l**2\/2 + 1839. Find the third derivative of a(s) wrt s.\nAnswer: -76200*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 774007409 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 + 156719.\nAnswer: 156719.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3092 + 3110. Let t(d) = -d**2 + 20*d - 26. Calculate t(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 317937756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -9*q**2 - 2. Let l be f(-7). Let t = 251 + l. Let x = t + 328. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 0.2, -421\/5, -386.\nAnswer: -386, -421\/5, -2, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 546749 is divided by 54611.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18279 + 109411\/6. Let j = -44 - f. Let x = 4.4 + -7.4. What is the third smallest value in j, x, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l + 6*l - 4*l**2 + 6*l**2 - 4*l**2 + 8*l**2.\nAnswer: 6*l**2 + 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235 = -20*y + 67*y. Is y <= 17\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - o - 10 = 0, -2*k + 56321521*o - 56321516*o = -84 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (113*p - 40*p + 42 - 40)*(383*p - 74*p**3 - 383*p)*(2*p - 2*p + 2*p).\nAnswer: -10804*p**5 - 296*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 11*m**2 - 13*m - 12. Let t be x(-12). Which is the third biggest value? (a) t (b) -2 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f**3 - 28100*f**2 - 7332*f = 0. What is f?\nAnswer: -6\/23, 0, 1222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(153) - sqrt(153)) + sqrt(153))\/sqrt(9) + (sqrt(17) - (sqrt(153) + sqrt(17) + -1)**2).\nAnswer: -273 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000078903 rounded to seven decimal places?\nAnswer: 0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d4 - -87e97?\nAnswer: 87f6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445 is divided by 147.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 5. List the prime factors of (-4 - r)\/(2\/(-7)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*t**4 + 3)*(24 - 14*t - 15*t + 21*t).\nAnswer: -16*t**5 + 48*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 674 and 6?\nAnswer: 2022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 9*r - 11. Let x(g) = 2*g**2 + 9*g + 12. Let o(v) = 3*m(v) + 2*x(v). Let f be o(10). Which is the nearest to -1? (a) f (b) 5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14310 + 33?\nAnswer: -14222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 146658 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -559, 76, 2, 5 in decreasing order.\nAnswer: 76, 5, 2, -559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 7916.\nAnswer: -7916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -15861, 403, 9\/19 in descending order.\nAnswer: 403, 9\/19, -15861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x + 0 + 0)*(38 + 4561*x + 3382*x - 8 - 18 - 12) to the form n*x**2 + l + r*x and give n.\nAnswer: 15886","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, -649, -3223, -8897, -18865, -34321, -56459?\nAnswer: -86473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -33105*l**2 + 198626*l - 18. Give s(6).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -2, -188606, -4, -1 in decreasing order.\nAnswer: 5, 0, -1, -2, -4, -188606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/752 and -101\/5724788?\nAnswer: 22899152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8206c4 - -5?\nAnswer: -8206bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**5 - 7*l**4 - 2*l**3 + 64*l**2 + 96*l.\nAnswer: -l*(l - 3)*(l + 2)*(l + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12442 (base 9) in base 15?\nAnswer: 273b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*w - 565 = 5712 - 229. What is the least common multiple of w and 1206?\nAnswer: 16884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f. Suppose 0 = 3*q - 0*q - z - 5, 0 = -2*q - 3*z + 7. Let g(s) = 5*s**2 - 4*s**2 + 2*s**q. Give k(g(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 4. Let q = -26 + 23. Let o be q\/15 - (-22)\/10. Let a be i(o). Which is bigger: a or 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 56*i**3 - i**2 - 5*i - 4. Let m be g(-1). Let f be (52\/(-14) - -4) + (-1552)\/m. Solve -6*z + 9*z + 4*n = -f, 5*z - 3*n = -8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 7*c + 72. Let w be t(-10). Solve -6*i - 6 = -i - w*u, 5*u - 15 = -2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + k - 10. Let i be p(0). Let q be -2 - 1 - i - 3. Let j = q - -8. Solve l = -2*l + j for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3963?\nAnswer: 3, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*o - 2473, -5*o + 3*j + 4119 = 6*j. Suppose 16*p - o = 11*p. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -11*f**2 - 6. Let j = 343 - 350. Let h(z) = -10*z**2 - 7. Determine j*d(t) + 6*h(t).\nAnswer: 17*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of 11*w**4\/12 + w**2\/2 - 45*w. What are the prime factors of a(3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526441 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*y = -32 + 90, 2*y - 40 = -2*c. Suppose -c*z = -24*z + 1662. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 147364?\nAnswer: 1\/10526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -16, -1\/4, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 73797 in 1\/5, -6, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o**3 - 14*o**2 - 4*o + 10. Give n(-5).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-39)\/33 - (1624818\/35409 + -46)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/8)\/((-6)\/(-20)). What are the prime factors of 78 + (9\/(-45) - (-11)\/n)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147672 and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -51 and -0.3.\nAnswer: 15.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 456.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one eighths of a millennium?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, -1, -1\/3, -19, 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2 - 241*v - 2290. Determine j(-11).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 6 - 19 = 0. Calculate the remainder when h is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 9*m + 6. Suppose -p - k - 30 = -6*p, -5*p + 40 = k. Determine d(p).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 4*m + 3*y + y, 0 = 3*m + 2*y + 16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3181495221 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.24 + 2.24. What is the fourth smallest value in 0.02, -1\/8, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + t**2 - 114*t + 8. Calculate j(10).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40173762*k**3 - 97821683*k**2 + 2 wrt k.\nAnswer: 241042572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5734 and 26596?\nAnswer: 1250012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4*d**3 - d**2 + d. Let h be k(1). Let n = -205 - -203.45. Let a = n - 0.45. What is the nearest to 1 in 2\/3, h, a?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 7:16 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 121 and 72479?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d + 7*d + 5*d. Let o(a) = 45 - 26 + 3*a - 19. What is o(b(s))?\nAnswer: 27*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**4\/12 + 4*j**3\/3 - 29*j**2. Let g(a) = -4*a + 15. Give 6*g(p) - 11*i(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8670 = 31*l - 4454 - 7553. What is the greatest common factor of l and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 569c - -82a?\nAnswer: 60c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a centimeter in micrometers?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-6)*4*18\/24. What is the closest to 1 in 3.7, -1, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13201?\nAnswer: 43, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**5 - 4*g**4 + 14*g**2 - 17*g + 6 = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9638?\nAnswer: 2, 61, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**7\/1008 - a**6\/720 - a**5\/10 - a**2. Let q(h) be the third derivative of w(h). Calculate q(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -60, -59, -58, -57, -56, -55?\n\"Answer: s - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 3*r + 2*r)*(-4 + 0 - 2 + (1 + 1 - 1)*(-3 + 7 - 2)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*p - 17*p - 59*p + 3 - 9*p to m + f*p and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 30\/6 - 1*3. Suppose -z = 2*h + 32, 5 = -q*z - 3. Is 0 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 7:48 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 520316 to the nearest integer?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((-1 + 3*sqrt(2736))*-5 + -4)**2)*4.\nAnswer: -1440*sqrt(19) + 2462388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7227 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0033001941 to four dps.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 6*z. Suppose 0 = c + 4*c + 35. Let a(l) = -l**2 - 7*l. Give c*o(x) + 6*a(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7849 = -5*u - i + 579, -2*i + 8426 = 5*u. Is 22 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2\/2 + 211766*d + 141178.\nAnswer: -(d - 141178)*(3*d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -35779 (base 13) to base 9\nAnswer: -158324","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 + 49 + 54*n)*(-n - 3*n + 3*n)*(-270 - 65*n**2 + 270).\nAnswer: 3510*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0810996099 to 3 decimal places.\nAnswer: -0.081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*j. What is the third derivative of j*b**5 - 3*b**5 - 3*b**2 + 6*b**2 wrt b?\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8a (base 16) to base 5\nAnswer: -1023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -m**5\/2 + m**4\/3 + m**3\/2 + 15*m**2\/2 + 16*m. Is d(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 96 - 95. Put -5, g, -11, 2 in increasing order.\nAnswer: -11, -5, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/48 + (-168)\/(-64). Which is the fourth biggest value? (a) 5 (b) 8 (c) 0.07 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5*(2 + -3*sqrt(1088)))**2.\nAnswer: -1920*sqrt(17) + 244864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**4\/2 - 11*a**3 + 60*a**2 = 0.\nAnswer: 0, 10, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 - 3)*(2*u - 2*u - 3*u)*((-4*u + u + 5*u)*(1 + 0 + 0) - 3*u - 1 + 1) to the form p*u + m*u**2 + l and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 14 = 4*q. Let w(y) = -y + 2. What is w(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + m**2 + 2*m. Let k(g) = -2*g**3 - 8*g**2 - 9*g - 2. Let b(t) = i(t) + k(t). Let o = -14 - -8. What is b(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 12*m**2 - 7*m**2 - m**2 + 10*m**2.\nAnswer: 14*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 4\/3*a**3 + 134 + 1600*a + 80*a**2. Solve u(n) = 0 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d + 9*d = -144 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence umm when three letters picked without replacement from {u: 7, m: 12}.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -140 + 139.999917804. What is a rounded to six dps?\nAnswer: -0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*m = -90, 4*r + 0*r = 4*m + 120. Let s = r + -13. Calculate the remainder when s is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4 + 16*v**3 - 63*v**2 + 92*v - 44.\nAnswer: -(v - 11)*(v - 2)**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21603856.\nAnswer: 2, 37, 36493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10206 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 14*y - 8. Let j(o) be the third derivative of -5*o**4\/24 + o**3\/2 + 3*o**2. Calculate 11*j(c) + 4*q(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 732636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(5) + 2) - (sqrt(500)*2 - sqrt(500)))**2 + ((-1 + sqrt(5))*2 + 4 + 2)**2.\nAnswer: -80*sqrt(5) + 280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 315 + -307. Let j = -70 + 125. What is the lowest common multiple of j and m?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 9:00 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {b: 1, w: 1, d: 12}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8760?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 18*c**2 + 6*c + 3. Let l be j(-3). Suppose 0 = 5*q + 3*v - 791, 0 = q - 9*v + 4*v - l. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 3:34 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17b8 + -310?\nAnswer: 14a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3975a7 - -2?\nAnswer: -3975a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = q - 3*m - 9, -m = -4. Calculate the smallest common multiple of q and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*l**2 - 20*l**2 - l**2 - 9 - 24*l**2 - 28*l**2.\nAnswer: -2*l**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/13, 5, 105, -2, -11?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 156*t**2 - 24*t - 27723. Give g(-155).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1)**(-2\/29)*(q*q**(1\/5))\/((q*q*q**7*q)\/q*q)*(q\/q**5)\/q**(2\/5)*(q**(-1))**24 assuming q is positive.\nAnswer: q**(-5404\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3266*u + 6. Let x be (0 + 6)\/6 + (0 - 0). Let w be v(x). What is w rounded to the nearest 100?\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 1:36 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - 19)\/((-39)\/(-247)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -809.\nAnswer: -808.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39.700187 - 39.7. Round c to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 768860661409*i**2\/4 - 142926061*i\/2 + 26569\/4.\nAnswer: (876847*i - 163)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.281029 to two dps.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*n + 1 = n, -12 = 3*n. Calculate the remainder when 28 is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-7)\/i)\/i)\/(i**(-10)\/i))**(-9) assuming i is positive.\nAnswer: i**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 17, -0.2, 29 in descending order.\nAnswer: 29, 17, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 745712 is divided by 179?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.86007 minus -29?\nAnswer: -9.86007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 11:27 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38360?\nAnswer: 2, 5, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*i - 7. Suppose 0 = 4*x - 23 + i. Suppose 4*b - x - 28 = 0. Solve -4*h = s - 10, h + 2*h = -s + b for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2337 = -39*x + 1362 for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g**(-6)*g)\/g)\/(g\/(g*g\/(g\/((g**(1\/3)\/g*g)\/g))*g*g))*(g**(-1))**(-13)*(g**(-1\/4)\/(g*g**5*g))\/((g*g*g**4)\/g**(-2\/13)) assuming g is positive.\nAnswer: g**(-635\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2798496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1426)\/(-2139))\/(1*(-4)\/6). Let g = -0.3 + 0.5. Let f = 0.1 + g. What is the nearest to -1 in m, f, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10\/13, 36\/41, 12, 3\/4 in decreasing order.\nAnswer: 12, 36\/41, 10\/13, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/5 + 12*b**2\/5 - 9*b\/5 - 108\/5.\nAnswer: (b - 3)*(b + 3)*(b + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 11 - 4 = 0, 3*k - u = -12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/3*(-42)\/14\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*0.06383.\nAnswer: 0.006383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, -4\/7, -2\/7, 41?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i**6*i*i))*i)\/i**32*i**(-3\/17)\/(i\/(((i**(-5)\/i*i)\/i)\/i)))**(-38\/5) assuming i is positive.\nAnswer: i**(4028\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34.8 - 46. Let v = p + 10.2. Suppose -3*u + 4*j - 21 = 0, 4*u + 18 = -0*u + 2*j. Which is bigger: u or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 71. Let s(r) = -14. Let c(v) = -2*h(v) - 10*s(v). Let y(b) = -b + 14. What is -18*c(f) - 2*y(f)?\nAnswer: 2*f + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4*g + 142 = 0, 4*c - 2*g - 156 + 46 = 0. Solve -5*l - 6 = -c for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iziziii. Give prob of picking 2 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*b + l = 203*b - 109*b + 9, 37*b - 52 = -3*l for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 375.463 + -376. Let v = -3.463 + n. What is the second biggest value in 0.2, v, -0.4, -12?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 125*s - 2927. Determine f(33).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times 4.487\nAnswer: -3.1409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 5 + 3 + 10*t.\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.159819 rounded to three dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -89*f + 0*f**4 + 0*f**2 + 0 + 103\/6*f**3 + 0*f**5 - 3\/2*f**6. Find the second derivative of j(h) wrt h.\nAnswer: -540*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {a: 5, g: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**3*y**2 - 2*m**3*y - 345*m**3 + 526*m**2*y**2 - y**2 wrt m?\nAnswer: 6*y**2 - 12*y - 2070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/9)\/((-8)\/(-72)*2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 9 - 23*n**2 - 15*n**2 - 9 - 43*n**2. Let m(l) be the first derivative of -l**3\/3 - 41. Calculate t(m(k)).\nAnswer: -81*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - -15) + (37 - 43).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -42137, -408, 12 in increasing order.\nAnswer: -42137, -408, -2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 0 + 0*c + 4*c**2 - 1\/60*c**5 + 0*c**3 + 0*c**4. Let x(p) = -2*p**2. Calculate x(d(l)).\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, o: 1, r: 1, x: 1, z: 1, p: 1}. What is prob of sequence opr?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26948 is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 3*z + 214 = 189, -z + 95 = -5*c for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 1045 - 1858 = x, 3*c + 8709 = 3*x. Let s = 29113\/10 + c. Find the common denominator of s and -7\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, s: 10, g: 5, t: 2}. Give prob of picking 2 t.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 8*c + 9*c - 8, -3*c = f - 14. Solve j + 7 = -n, 5*n - 3*j + 0 = f for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2064, -2065, -2066, -2067, -2068?\n\"Answer: -h - 2063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*c + 10 = 0. Suppose -c = -3*k + 7. Solve -5*t - 3*s = 2, -k*t - 4*s - 1 = 2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*w + 12 = 0. Suppose -w*c - 7 - 40 = -5*h, 2*c = -6. Suppose -33*z + 224 = -5*z. What is the smallest common multiple of h and z?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -5*v - 0*p + 305, -170 = -3*v + 5*p. Does 20 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 60140400?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/442 (b) 3\/8 (c) 0.5 (d) -23\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.03 - 0.77. Let w = -1.1 - m. Let t = -0.104 + 0.404. Which is the closest to 2\/7? (a) t (b) -0.2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2, 68, -26.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -8*b - 26*b**2 - 12*b**3 + 0*b + 5*b**2 - 7*b**2 = 0?\nAnswer: -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccdcdccccc. Give prob of picking 1 d and 1 c.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2)\/o*o*(o*o\/(o\/(o**(-14)\/o)))\/o)\/(o**11\/(o\/((o*o*o**(-1\/16)*o)\/o))) assuming o is positive.\nAnswer: o**(-447\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6574513, -13149039, -19723591, -26298175, -32872797?\n\"Answer: -p**3 - 7*p**2 - 6574498*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 363 and 528?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.1*-0.0729.\nAnswer: -0.73629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24446 and 249092517?\nAnswer: 12223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9028272, -18056529, -27084784, -36113037, -45141288, -54169537?\nAnswer: -63197784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1974, -2050, -2260, -2670, -3346, -4354?\n\"Answer: -11*k**3 - k**2 + 4*k - 1966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1490?\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 3)*(-4*d**4 + 3*d**4 + 3*d**4) + 11*d**4 - 24 + 24 - d**2 - d**4 + d**2 + (3 - 3 - 2*d)*(0*d**2 + 0*d**2 - d**3) + 4*d**4 - 2*d**4 + 6*d**4.\nAnswer: 28*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 283.9818ng?\nAnswer: 0.0000000000002839818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3310*i**6 + 4451*i**4 + 49073431*i**2 wrt i.\nAnswer: -397200*i**3 + 106824*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004089827 rounded to 6 dps?\nAnswer: 0.000409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrgrrdrrrgxrrggdrj. Give prob of sequence ggdd.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 12:56 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*o - 18. Let z(t) = t**2 - 13*t + 12. Calculate z(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 + -33. Suppose 4*z + 0*z - 18444 = -3*f, 4*f + 16 = i. List the prime factors of 4\/22 + z\/33 + -2.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27563479*k**3 - 190677832 wrt k.\nAnswer: 82690437*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -160?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 65*s + 2 - 18 - 183*s. Let x be t(8). Round x to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 7:53 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (28 + -16) - (0 + 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 234*h**3 + 4*h**2 + 4. Let c(i) = 234*i**3 + 3*i**2 + 3. What is 4*c(r) - 3*y(r)?\nAnswer: 234*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (338 + 12*n - 338)*(3*n + n - 5*n) in the form m + r*n + u*n**2 and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -256880547?\nAnswer: -256880547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 3e40ba8?\nAnswer: -3e40bab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5864 and 93508.\nAnswer: 137082728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 369 - 193. Let a = 175.9879 - z. Round a to three decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4946616 + -8919698. Let j = t - -1877082. What is j rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b - 2*b**3 + 39 - b + 42 - 81 - b**2 in the form o*b**3 + m + c*b + v*b**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 7:02 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/7)*c**2)\/(c*c\/(((c\/(c*c**(-1\/4)\/c))\/c)\/c)*c\/(c\/c**(-1)*c*c)))\/(c**(2\/3)*c*(c*c**(1\/8)*c*c*c)\/c)**22 assuming c is positive.\nAnswer: c**(-4339\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*t = 27*t + 472. Let p = 16 + t. Calculate the remainder when p is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 422887455.\nAnswer: 3, 5, 9397499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -r - 64. What is the greatest common factor of 24 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -185 - -262. Suppose g - 8 = 3*h. What is the greatest common divisor of h and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2 - 1\/6*l**3 + 3\/2*l - 1\/6*l**2.\nAnswer: -(l - 3)*(l + 1)*(l + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 2, 286, 2\/7, 21, -2.\nAnswer: -2, -3\/2, 2\/7, 2, 21, 286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.30117 - -0.2799. Round p to three decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 3:00 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 6*n**2 + 3*n + 9. Let t(c) = -c - 4. Let o be t(2). Calculate y(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 272.2 to the nearest ten.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 14. Suppose 0*k = -s*k + 990. What is the highest common divisor of 18 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27414 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7 + 1. Suppose 393*x = 399*x - 234. Suppose -43 - 35 = -x*y. What is the second smallest value in 19, y, g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15699853\/408 + 38480. Find the common denominator of v and 1\/30.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3, -2\/113, 17, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*k**3 + 209*k**3 + 3210 - 3201 + k**2 to the form q*k**3 + c*k + b + s*k**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -6, -1 = -w + 4*x - 3*x. Let z(m) = 13064 - 39199 + 17*m + 13068 + 13066. Calculate z(w).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5*l - 245 = -0*l, 3*z = -l + 160. Let a = -55 + z. Let f(m) = -4*m - 4. Let g(t) = -7*t - 9. Let q(s) = -5*f(s) + 3*g(s). Calculate q(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -313 = -4*m + 7. Let v(s) = -24*s - 6. Let n be v(8). Let r be m\/n - 2\/(-9). Are 1 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43)\/(-86)*(-16)\/(-10).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/90 - (9\/15 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/2 - 3220*p**2 + 10614997*p\/2 - 394631679.\nAnswer: (p - 3181)**2*(p - 78)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11971\/495 - 5494\/45. Let m = 1658857\/11341 + q. Let g = m - 2028\/17527. Which is the closest to -1\/8? (a) g (b) 0.1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*l**3 + l**2 - 11*l**2 + 3506*l - 3508*l + l**4 to u*l**2 + z*l**3 + v*l + s + j*l**4 and give z.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 248\/63 - 26\/7. Let d = 59 + -58. What is the closest to z in -1\/2, -2, d?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.4, 0.05, 2\/15.\nAnswer: -0.4, 0.05, 2\/15, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u + 7. Let d(j) = 10*j - 20. Let x(y) = 5*d(y) + 14*h(y). Let n be x(3). Suppose -c + 102 = -n. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3209\/21 + -153. Let d = 25\/168 + k. Suppose -3*f + q - 13 = 3*q, -f + 2*q + 9 = 0. Are d and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 521.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 15, -16, 0, -0.5, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2935 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 42.216 and -0.1.\nAnswer: 42.116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 39416036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8701309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.32879 rounded to 0 dps?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 13, y: 3}. What is prob of sequence qy?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, 22, 371, 1134, 2449, 4454?\nAnswer: 7287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -19. Let j be f\/(-4) + (-4)\/16. Solve -p - p - 4 = j for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 142*i + 2. Let v be l(1). Suppose -r = r - v. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wghhggwwkegwgwgggggh. What is prob of sequence hgh?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 7*d**2 + 5*d + 6. Let u = 12 - 6. Let z be t(u). Suppose -q - 1 + 10 = z. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x - 10. Let a = -5 - 0. Let p be s(a). Suppose -d - 32 = 2*o - 4*o, p = -4*o - 2*d + 80. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5 + 6. Suppose 3*k - 134 = -2*d + 258, 650 = 5*k + 5*d. Suppose k = -24*b + 28*b. What is the greatest common factor of u and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20079 and 1372065.\nAnswer: 4116195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 143.43592 to zero dps.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1208.2314 rounded to 1 decimal place?\nAnswer: -1208.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 46\/3409 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20.2 - -24. Let q = 3.9 - o. Let i = 1.1 - 0.6. Which is the biggest value? (a) -1 (b) q (c) 1 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2693051953.\nAnswer: 53, 50812301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5826829 millilitres to litres.\nAnswer: 0.0005826829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 19. Suppose o - 5*q = 38, -3*o = -o + b*q - 62. Calculate the greatest common factor of o and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(476\/17))\/((-7)\/798)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (0 - -1) - 0 - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -29\/40978?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 736*v**3 + 5*v**2 + 16*v - 5. Let b be p(5). What is b rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1 = h + 2, -4*h = a - 5. Let w(z) = 5*z**2 - 6*z**2 + 0*z**h. Let j(u) = 18*u**2. Calculate j(w(s)).\nAnswer: 18*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 903*s - 907*s - 5*y + 27 = 0, 2*s = 4*y - 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -94*w**2 - 5924*w - 130. Calculate y(-63).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -902 + 909. Suppose -k*a + 1575 + 1232 = 0. Are a and 400 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - c - 4. Give v(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -n**5\/60 + 7*n**4\/8 - 12*n**3 + 331*n**2. What is the least common multiple of 20 and j(15)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -70435, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 - k**2 - 5 + 5*k**2 + 4*k**2 - 4*k**2 - 2*k**2 + 2*k**2 + 2*k**2 + 5*k**2 + (-7*k + 3*k + 2*k)*(-2*k + 0*k + k) as v*k + d*k**2 + i and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 551.339 hours to minutes.\nAnswer: 33080.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 15 = -2*j, 0 = 3*l - 2*j - 157. Suppose -114*f - 609*f = -7*f - 13604. What is the remainder when l is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 198 = 3*y, 4*y = y. Let r(i) = 10*i + b - 198. Let f(j) = -6*j. Give r(f(w)).\nAnswer: -60*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) -2\/13 (c) -49 (d) -1\/29 (e) -3\/115 (f) -0.07 (g) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 10}. What is prob of picking 4 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -186 divided by -62?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bt when two letters picked without replacement from btbtbttttttbtlbtbtbt?\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86582064.\nAnswer: 2, 3, 389, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 5*x - 30, 5 = 5*l - x - 4*x. Solve 0 = -2*r + 3*r + l for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 15*z + z**2 + 3 - 82*z + 3*z**3 + 45*z to d*z**3 + l + i*z**2 + o*z and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 21 = -9*a. Let m be 2 - -3*2\/a. Let v = -1 + 1.4. Sort m, v, -0.3 in ascending order.\nAnswer: -0.3, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 215, 483, 859, 1343, 1935?\nAnswer: 2635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1598977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -694\/317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/265786 and -55\/7?\nAnswer: 1860502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.777 to zero decimal places.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*6*(1 + sqrt(108))*6*5*-2.\nAnswer: -2160*sqrt(3) - 360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4234 divided by -73.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -2*r**6\/15 - 617*r**5\/5 + 1238*r**4\/3 - 3377*r. Factor j(l).\nAnswer: -4*l**2*(l - 2)*(l + 619)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -72.52 + 80. Let k = j + -15.48. Which is the fourth biggest value? (a) 2\/3 (b) k (c) 2\/15 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 9*r**3 - 2*r**2 + 6*r + 4. Let c be g(3). Let v = c - 128. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26840 (base 10) to base 2\nAnswer: 110100011011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1379 and 2167?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 905441 by 23.\nAnswer: 39367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10043 + 1005?\nAnswer: 11052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/17 - 661138*x\/17 + 661136\/17.\nAnswer: 2*(x - 330568)*(x - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -y**8\/20160 + y**7\/2520 - y**6\/720 + y**5\/360 + y**4\/12 - 3*y**2. Let o(m) be the second derivative of j(m). Factor o(t).\nAnswer: -(t - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 9*c**2 + 22*c + 9. Let d be u(-11). Suppose -5*q = g - 1177, 3*g + 953 = -5*q + d*q. Does 21 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -4 - -6) + -4 + -7.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 45490683.\nAnswer: 454906830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143012311 (base 5) to base 15.\nAnswer: -ec78b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express b + 3 - 6 - 5*b - 2*b**3 + 0*b as y + w*b**2 + o*b**3 + p*b and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 11*g + 14. Let i be n(12). Let k be ((-36)\/3 + 2)*1\/(-2). Suppose k*y - 33 = -s, 3*y - 4*y = -2*s + 11. Which is smaller: i or s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kzl when three letters picked without replacement from {z: 5, l: 6, r: 6, a: 1, k: 1}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -0.067\nAnswer: 0.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -107.6 - -108. Let s = 28 + -27.968. Let k = -0.068 - s. Which is the closest to 0.2? (a) z (b) k (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.16108706 to 2 dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**2 + 2974*r - 50985840 = 0. Calculate r.\nAnswer: -5847, 4360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/40 - 0) + 791\/35\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -10. Suppose -15 = -k - 5. Let r be k\/(-60)*(-1 - (-7)\/3). Which is the nearest to r? (a) h (b) -1\/6 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fnnnfefennee. Give prob of picking 1 e and 3 n.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1604*q + 103 = -5*s - 1601*q, 4*s = -58*q + 1790 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**3 + 5*o**2 - 2*o + 3. Let k be s(-3). Let h be k + 28\/(0 - 4). Let j(b) = -2*b + 9. Let n be j(7). Which is smaller: n or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2994908*m - 16*m**3 - 1497469*m - 1497439*m.\nAnswer: -16*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36416, 73048, 109684, 146324, 182968, 219616, 256268?\nAnswer: 292924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 14) to base 8\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 8, -7, 1\/4, -21, -5.1?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -128534 - -73521585\/572. Let v = -3\/52 + r. What is the closest to -2 in 1\/4, 3\/4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.42881*0.2.\nAnswer: 0.085762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-5)*b**(2\/3)*(b**(-2\/5))**6 assuming b is positive.\nAnswer: b**(-101\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of o**6\/54 - 2*o**5\/45 - o**4\/6 + 4*o**3\/27 - 7*o**2. Suppose b(s) = 0. What is s?\nAnswer: -1, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*m + 16*m - 36*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 24, -0.1, 0.3 in decreasing order.\nAnswer: 24, 0.3, -0.1, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 4 - ((-1 - -18) + -18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1013405 (base 6) to base 9.\nAnswer: 73775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -236517996, -473035997, -709553998, -946071999?\n\"Answer: -236518001*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, 0.03, -3285?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -3*w - 100, 0 = -31993*t + 31990*t - 12*w - 465 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1331313159?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 88 = p. Suppose 2*k - 5*s + 7 = p, 0 = -k + 4*s + 48. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25063 or 1\/23?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 115. Let f be c(0). Let p be 4\/26 + (-5049)\/(-221). Calculate the greatest common divisor of p and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -11053, 21 in increasing order.\nAnswer: -11053, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75952 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29)\/(-6) + 115\/(-138)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + i - 31 = 0, l - i + 42 = 5*l. Let m = 13 - l. Solve 0*h + 4 = m*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-4*((sqrt(72)\/sqrt(4) + 2)*3 - (5 + (-2*sqrt(2) + -4 - sqrt(128))))**2.\nAnswer: 2280*sqrt(2) + 8964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5343989?\nAnswer: 7, 191, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5242001)\/(-731) - (-4 - 0)*-2.\nAnswer: 13, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 0 - f + 0. Let m(w) be the second derivative of 1\/6*w**4 + 0*w**2 + 0 - 6*w + 0*w**3. Give g(m(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 37, 72, 111, 148, 177?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 0)*(3*n - n - 4*n)*(-n - 2*n - 5*n) + 2*n**2 - n**2 + 2*n**2 in the form a + f*n**2 + g*n and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n*s**2*v**2 - 2*n*s - 2*n - 1042*s**2 + 854*s*v**3 wrt v.\nAnswer: -4*n*s**2*v + 2562*s*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (84*g**3 + 297*g**3 + 14*g**3)*(-2 + 4 + 1) to the form k*g**2 + s + o*g + v*g**3 and give v.\nAnswer: 1185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-1))\/(4 - 8).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/139 - 427\/695. Let h = 7\/20 + p. Is -7\/5 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**3 + 15*p**2 + 51*p - 63 = 0. Calculate p.\nAnswer: -3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 + (-63)\/(-18)*(-48)\/(-28). Let y(r) = -r + 1. Let d(b) = 2*b. Calculate j*y(g) - d(g).\nAnswer: -3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9, -4, -1678, -2?\nAnswer: -1678","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 684246646 to the power of 1\/3, to the nearest integer?\nAnswer: 881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10\/21 + 2015\/42. What is the common denominator of o and -75\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, k: 5, r: 5, g: 4, l: 1}. What is prob of sequence hrgg?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 6*p - 16. What is m(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -6*sqrt(343)*-3)**2.\nAnswer: -756*sqrt(7) + 111141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(2\/7))**(-4\/15))**(-1\/36))**16 assuming a is positive.\nAnswer: a**(32\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -709 + 715. Let n be 5\/(-1*(-3)\/6). Solve -n = -w + u*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-117)\/(-15) + 4\/20. Let x = -3 + d. Suppose x + 2 = 3*o - 5*u, 35 = 3*o + 2*u. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 307387052*h**3 + 307387055*h**3 - 614774138*h**3.\nAnswer: -31*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0\/m)**(1\/21)*(m**(-1\/4)*m)**(-16\/9)*(m*m*(m\/m**(-1\/4))\/m*m*m**(-8))**(1\/27) assuming m is positive.\nAnswer: m**(-1177\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/26856 and 31\/31332?\nAnswer: 187992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*3\/6*-2. Let o be (4 + -5)*k\/7. Let z = 3.03 - 0.03. Which is the second biggest value? (a) 2 (b) o (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 5*l**4\/4 + 1215*l**3 + 633855*l**2\/2 + 10313695*l - 42527355\/4 = 0.\nAnswer: -467, -39, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4050 - 4050.0000003586. What is d rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/119 and 86\/987.\nAnswer: 16779","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5*l = p - 24, -5*p + 4*l = 30. Let s be 6\/(-34)*4\/p. Suppose -5*d = -14 - 6. Which is the nearest to 1? (a) d (b) 0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -144*v**3 - 9*v**2 + 9*v + 9. Let t(a) = 36*a**3 + 2*a**2 - 2*a - 2. Determine -2*b(h) - 9*t(h).\nAnswer: -36*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -5*13\/(-260)*26716 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55 + 133101\/(-2415))\/(4\/10)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 111 and 312039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.089 in 0, 4, 2, 3\/14, 1, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + v**2 + 2*v**2)*(26 - 10 + 17)*(-2 + 2 + 2)*(v - 7*v + 4*v).\nAnswer: -396*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 739, 1\/203 in decreasing order.\nAnswer: 739, 1\/203, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10671849 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 56 + 2\/9 + 24\/(-108). Let m = q + -51. Suppose 0 = 5*n - 10 - m. Solve -v = -2*v + n for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347 is divided by 168?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-12)*-3*6\/9?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5*q - 14. Let k(c) = c**2 + 3*c + 1. What is the remainder when y(-9) is divided by k(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1946011 + -1366011. What is a rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19666*i**3*q**2 - 704*i**3*q - 8*i**2*q - 2*i**2 - i*q**2 - 2*i*q + 4*q wrt q?\nAnswer: 39332*i**3 - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -184 + 184 - 2*l + 27*l**3 - l wrt l.\nAnswer: 162*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15323.8947 rounded to the nearest integer?\nAnswer: 15324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 + 24 + 344*v + 14*v + 1849*v - 223*v as c*v + g and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 2*u**2 + 5*u - 4. Let c be q(1). Let t = 11767\/34 - 346. Let v = t - -4\/51. Are v and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*k = -654 + 574 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**2\/7 - 708308*y\/7 + 18417360\/7 = 0.\nAnswer: -354180, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 107004 and 6180.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 16198?\nAnswer: 80990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r - 3*r**2 + 13*r**2 - 1 - 9*r**2. What is m(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -4*u**2 + 0*u - 3\/8*u**4 + 1\/60*u**5 + 0 + 11\/6*u**3. Calculate the least common multiple of d(8) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v**3 - v + v)*(971*v + 10523 - 10523 + 284*v) to the form a + o*v + p*v**4 + y*v**2 + f*v**3 and give p.\nAnswer: -1255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(11\/22)\/((-21)\/(-6) + -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 335850 to the nearest one thousand.\nAnswer: 336000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(3\/4)*b*b\/(b*b**(-2\/7)))\/(((b\/b**(-4))\/b*b)\/(b\/b**(1\/7))))**25)**(-33) assuming b is positive.\nAnswer: b**(48675\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 16*f**2 + 1359*f - 74. Let z be d(-85). Solve -31 = -5*j - z for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -82386 by 1791.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -131, -316, -669, -1244?\nAnswer: -2095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 491\/5, 1.3, -1\/4 in descending order.\nAnswer: 491\/5, 1.3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2048363683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 + 37. Suppose -3*n + h + 7 = -0, 11 = 3*n - j*h. Solve 0 = -n*p - 3*p + 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1744.9 and -3290.\nAnswer: -5034.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -157, -3, 3 in descending order.\nAnswer: 3, -3, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 147, -3, 22, -4 in decreasing order.\nAnswer: 147, 22, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q + 6. Let n be o(-3). Suppose t = -2*s + 11, 5*t - 4*s = -n + 2. Let l = 1 - 0. Is t > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 288.5226 millimeters?\nAnswer: 0.2885226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 37. Let m = y - 7. What is the remainder when m is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxx. Give prob of picking 3 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1926130 to the power of 1\/2, to the nearest integer?\nAnswer: 1388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1824891 + -1824889. Solve -8748 - 216*d - 4\/3*d**z = 0 for d.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 240941358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 5. Let o(f) = -f - 2. Let w be o(q). Suppose 3*n = w*n. Solve 0 = s - n*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3465 and 2070.\nAnswer: 159390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - z = -4*z + 18, -5*z + 4 = -2*p. Suppose -20*c + p = -19*c. Solve 0 = 2*u - 3*u + c for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 264 - 79. What is the derivative of u*c - 185*c - c**3 + 13 wrt c?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -860 (base 11) to base 8\nAnswer: -2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -68, 20, 0 in increasing order.\nAnswer: -68, -4, 0, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 3*x + 12. Let j be i(-5). Suppose 0*s - 4 = -s, j*a = -4*s + 24. Is 8 a factor of (-3 - (-9 - 0))*a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50.88 + -47. Let u = 0.12 + s. Let q be (-55)\/50 + 15\/25. What is the third smallest value in u, -4, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 - 27. Let l = 31 - d. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and -476165.820329?\nAnswer: 476161.820329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19.9 and -0.1?\nAnswer: -1.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-630)\/(-27) + 1\/(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -1795*x**2 + 3582*x**2 - 2 + 9*x - 1786*x**2. Determine i(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -5*z + 35, 5 = 2*z + 3*z - 3*n. Calculate the smallest common multiple of 8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 223.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -13*f**2 - 24*f + 2984. Let t(x) = 4*x. Determine t(a(o)).\nAnswer: -52*o**2 - 96*o + 11936","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 16 = 3*f. Suppose 0 = 4*s + s, 0 = f*o + 5*s - 72. Let q = -38 - -110. Calculate the greatest common divisor of q and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101 (base 2) in base 16?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 180*q - 1507. Determine p(8).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22.2 + 21.8. Which is the nearest to 1? (a) 14 (b) d (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.98263 years to months.\nAnswer: 35.79156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1 + sqrt(2299) + 2 + 1 - (2*sqrt(209)*6)\/(sqrt(11) + sqrt(11) + sqrt(88)\/(1*sqrt(8) + sqrt(8))).\nAnswer: 5 + 31*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 i, and 1 y when four letters picked without replacement from uizuyuurruuuyuiyu.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2096071053 to the power of 1\/2, to the nearest integer?\nAnswer: 45783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 12:03 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/2*4\/(-3). Let y be v + (492 - 0)\/3. What is the common denominator of 1\/12*y\/(-8) and 27\/22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 23398700.\nAnswer: 1\/4679740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 10*y + 8*y - 8 = 0, 4*y + 12 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, c: 2, u: 2}. Give prob of sequence uc.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63)\/(-42))\/((-3)\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 397*n + 5132 = -848 + 25 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 18*p**3 + 13*p**2 - 11*p - 10. Let s(y) = -9*y**3 - 6*y**2 + 5*y + 5. Give 6*m(k) + 13*s(k).\nAnswer: -9*k**3 - k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffw when three letters picked without replacement from {w: 5, f: 14}.\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.8221 + 0.0221. Sort -4, 0.08, -0.1, a in descending order.\nAnswer: 0.08, -0.1, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 60, 0.01, 1, -3\/40?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -67 - 768626?\nAnswer: -768704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.03 - -1.27. Let s = p - -0.02. Let q = 0.26 - s. What is the second smallest value in 0.2, q, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -1. Let b = -32349 + 32343. Let d(v) = -34*v**3 + v - 6. Give b*g(w) + d(w).\nAnswer: -34*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1285 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.71592452 rounded to 1 decimal place?\nAnswer: 70.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*x**3 - 3*x**2 + 7*x + 6 wrt x?\nAnswer: -72*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -4*h**2 - 203288*h + 7119980 = 0.\nAnswer: -50857, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/29244 and -97\/5507620?\nAnswer: 16522860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, f: 2, t: 3}. Give prob of sequence wtw.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*q - 3 = 0, 18 + 1 = 5*a + q. Suppose a + 1 = x. Suppose 389 = x*o + 141. Is o bigger than 62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6 + 11 + 5\/(-1)*1. Let w be 6\/(-15) - (-24)\/85. What is the biggest value in w, q, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2123831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**2 + 0*b**2 + 0 - 5 + b**2 to the form c*b + l + z*b**2 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 337 divide 7221057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**5 + u**5 - 2*u**5 + (5*u + 0*u - u)*(-104*u**2 - 154*u**4 + 104*u**2).\nAnswer: -618*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 196 and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/37 + 101\/333. Let n = 28.4 + -28. Which is the second biggest value? (a) t (b) n (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, b: 1, y: 2}. Give prob of sequence byy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 105360000 rounded to the nearest 1000000?\nAnswer: 105000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*t + 120 = 0. Let d = t + 85. Calculate the remainder when 86 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 c when four letters picked without replacement from {a: 3, z: 3, o: 1, n: 1, s: 1, c: 10}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, 0.2, 19\/5, -0.01, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 144.3633 seconds in minutes?\nAnswer: 2.406055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**4\/3 + 11*w**3\/3 - 44*w**2\/3 + 76*w\/3 - 16 = 0. Calculate w.\nAnswer: 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10148.052 - 10175. Let k = i - -27.2. Round k to two dps.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p + 8. Let q(i) = -i**2 + 7*i - 1. Let l(w) = -3*w**2 + 21*w - 4. Let j(r) = -6*l(r) + 17*q(r). Let d be j(5). Let o be -6 - 0 - 6\/d. Determine f(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.525 + -1.04. Let z = h + -0.48287. Round z to four dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -19. Calculate the least common multiple of c and 96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -541508220 by 5.\nAnswer: -108301644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 + 2*f - 1. Let h be b(1). Let i be h - -11 - -4 - -2. Calculate the highest common divisor of 50 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -1\/2*k**2 - k + 1\/3*k**3 - 7. Let b(c) = -c**3 - 2*c**3 - 3 + 5*c**2 - 2*c - c. What is b(a) - 3*y(a)?\nAnswer: -3*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 144 - 140. Solve -4 = -g, 6*g = 4*i + 4*g - f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*g - 20, z + 1 = 2*g - 3. Let f be z\/14*8 + -2. Is f < -65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**5 - 57723*l**4 + 1095888*l**3 - 4497528*l**2 - 8073840*l + 11533200 = 0. What is l?\nAnswer: -2, 1, 10, 19222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + 1 + 16 + -8 + 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 2.68 (c) -3 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 847887.\nAnswer: 3, 233, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*i - 76*i**2 + 35*i)*(-11 - i + 11).\nAnswer: 76*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/260)\/(104\/(-1040)).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-11 + 1 - (43 + -50))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4906596 and 817766.\nAnswer: 4906596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 7:39 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 3, -2487, 7.2, -5, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/((sqrt(324)\/sqrt(9))\/sqrt(4)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002883074 to 6 decimal places.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12716, -12708, -12706, -12710, -12720, -12736, -12758?\nAnswer: -12786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-24))\/((-12)\/(-32))*-3\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of c + 0*c**2 + 0*c**3 + 1\/20*c**5 - 8 - 17\/30*c**6 - 5\/2*c**4. What is the third derivative of z(i) wrt i?\nAnswer: -408*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 - 24. Let d = x + -3. What is the remainder when 51 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 + 33*c - 1 - 11 + 7 - 8. Let n be x(-17). Solve n*w + 5 + 7 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 352 divide 4439072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 + 98 + 20 + -73?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = g - 519, 5*g - 5*v + 9*v - 2540 = 0. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*s + 61*l - 60*l, -40 = -5*s + 5*l. Sort -7, 7, -5, -3, s in ascending order.\nAnswer: -7, -5, -3, s, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 + 208 + 61 + -174?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/8)*s\/((s*(s\/s**(-1\/11))\/s)\/s))\/(s**(3\/7)\/(s\/s**(-10))) assuming s is positive.\nAnswer: s**(7149\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 121*o**2 + 233*o - 58922. What is j(123)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52883\/11880 - 179\/40. What is the common denominator of -61\/594 and l?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -141026*c**3*z**2 - 3*c**3 + 78*c**2*z**2 + 331*c*z + 1333*c wrt z?\nAnswer: -282052*c**3 + 156*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/131 (b) -8.8 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r - 3*g + 5, 0 - 15 = -3*r - 2*g for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17425 is divided by 163.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 6:21 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*l - 11233 - 335 = -779*l for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 4*l**3\/3 + l**2 + 3*l - 5. Let x(v) = -15*v - 3. Determine -5*u(a) - 3*x(a).\nAnswer: 5*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) - (sqrt(684)*-2)**2*-5) + sqrt(57)\/(sqrt(75)*2 + sqrt(75)).\nAnswer: 91*sqrt(19)\/15 + 13680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 107 + -86. What is the least common multiple of l and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120011 - -2002?\nAnswer: 122020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 303380 and 1925?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4910887.9 and 15426?\nAnswer: 4895461.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05 - 0.55. Let n = 0.6 - -0.4. Let p = k + n. Put 5, 0.1, p in descending order.\nAnswer: 5, p, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - -14. Let x = -15 + g. Suppose k - 36 = -2*w + x*k, 4 = -k. Solve 0 = 2*y + 4*r - w, -4*y - y = 3*r - 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -0.637\nAnswer: -1.274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*g + 76 - 47. Do 2\/4003 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -826795.\nAnswer: -3\/826795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2. Let x = -35 - -22. Let u(d) = -2*d**2. Let q(i) = x*f(i) - 6*u(i). Let l(z) = -77086*z + 38541*z + 38540*z. What is q(l(o))?\nAnswer: -25*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -7*a + 10*a. Let k be 3*4\/a*-3. Is 1 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**2 + 194*i + 1018. Determine r(-62).\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -1117*t**4\/24 - 161*t**3\/2 + 32*t**2. What is the derivative of w(o) wrt o?\nAnswer: -1117","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/6)\/((-1)\/(-4)). Suppose 6*l - 3*l - 4*y - 524 = 0, -3*l + 519 = -3*y. Suppose -11*u + 15*u = l. Calculate the greatest common divisor of u and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -922*m*z**3 - 1240*m*z - 4*m - 167709*z**3 - 3*z**2 - 5 wrt m?\nAnswer: -922*z**3 - 1240*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1201012010 - -102?\nAnswer: 1201012112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 3. Let l = 0 + m. Suppose 18*x - 23*x = 0. Is x <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31749471 is divided by 520483.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 693857626?\nAnswer: 2, 7, 11, 4505569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34416069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97430, -97530, -97630, -97730?\nAnswer: -97830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 471.\nAnswer: 13188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7548 * 1\nAnswer: -7548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 4, -9, -53, 10 in ascending order.\nAnswer: -53, -9, -3, 4, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*(sqrt(11) + (-3*(sqrt(11) + 2*sqrt(11)) - sqrt(11))**2) + (-1*2*sqrt(275))**2)*-3.\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwr. What is prob of picking 2 r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -0*s + 8. Is (s + 3)\/((-1)\/(-23)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 975 and 21216?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 3*t - 1. Suppose -23 - 16 = 2*s - c, 3*s + 51 = -c. Let b = -8 - s. Let n(g) = g**3 - 11*g**2 + 10*g + 4. Let j be n(b). Calculate f(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -208\/3 or 2\/11?\nAnswer: -208\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggtgnfy. What is prob of picking 1 t and 1 f?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 - 356*h - 9*h**3 + 7*h**3.\nAnswer: -4*h**3 - 356*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1a6932 (base 13) to base 4\nAnswer: 2203332133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27558 and 14778.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10023?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26158*x + 60 = -26153*x for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7)*h*h\/(h\/(h**(-5\/3)*h)))\/(h**(1\/2))**(-29) assuming h is positive.\nAnswer: h**(47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 22, 2, -2.\nAnswer: -2, 2, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-2)*(-14)\/12*20920\/(-2615)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**2 - 4609 + 9251 - 178*y - 4642.\nAnswer: -7*y**2 - 178*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of x**8\/2184 + 2*x**7\/455 - 2*x**6\/65 - 8*x**5\/39 + 28*x**4\/13 - 96*x**3\/13 + 2*x**2 + 157. Find c such that b(c) = 0.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -124 + -4?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.424567 - 0.425. Round f to five dps.\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.4 (b) -2\/13 (c) 0.41 (d) 1224 (e) 0 (f) 3 (g) -38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 1. Let w(m) = 15*m + 15. Determine -w(q) + 12*y(q).\nAnswer: -3*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -12*w - 42. Give i(-15).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -12*(-10)\/4 - 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**2\/4 + 437143*p\/4 + 437145\/2 = 0.\nAnswer: -2, 437145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 187*l**7\/105 + 53*l**5\/12 + l**2 - 71. Find the third derivative of m(o) wrt o.\nAnswer: 8976*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -2 (b) 1\/75 (c) -0.6 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 15 = 2*a, 4*a + 2 + 1 = d. Is 330\/(-18)*9\/(-1 - a) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 391*y**3 - 70*y**3 - 260*y**3 - 58*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*o - 3 - 8*o - 13*o in the form w*o + k and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q + 3. Let v be d(-2). Suppose -7 = -2*y - 2*t + v, 2*y + 5*t + 7 = 0. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 l when three letters picked without replacement from {x: 2, s: 4, l: 2, e: 3, b: 2}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2 + o**3 - 1 + 7 + 3*o**2 - 6*o**2 + 2*o. Is p(3) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nczhhscnnh. Give prob of picking 1 z, 1 c, and 1 s.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -10*i**3 - i**2 - 2*i + 2. Let f be d(2). Let s = f + 38. Is 20 a factor of (-1)\/(-2)*(-8 - s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.329 - -2.1880372.\nAnswer: 1.8590372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 3:00 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.008 + -0.352. Let w = -0.46 - u. Which is the closest to w? (a) -2\/3 (b) -1\/2 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*m + 15*m = -56. Calculate the highest common factor of 244 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 4*u - 2004, -4*u + 3*y - 1189 = -3189. Let z = 5923 - 5902. Let q be (3\/(-9))\/(-1) + u\/z. Calculate the highest common divisor of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-4*(-3 + ((-5*sqrt(243)*-4)**2 + sqrt(243) - sqrt(243))).\nAnswer: -2332728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -1\/4 (b) -62 (c) 790 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13176540 + -13176551.218534. Let x = -11.22 - w. Round x to four decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (3296\/(-640) - (-1*11 + 2))?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 3*m**2 + 5*m + 3. Suppose 79 = -3*t - 4*o - 59, 0 = -5*t - 4*o - 238. Let n = t - -47. Determine d(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.9 - 3. Let n = -129 + -41. Let p = -79 - n. Which is greater: p or f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q + 511*q - 23171 = 0 for q.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 15368?\nAnswer: 169048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 - 10*p - 6. Give n(8).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u + 7. Let y be h(12). Let w = y - -21. What is the tens digit of 2*(-4)\/w*-86?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 35079, 1 in descending order.\nAnswer: 35079, 1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 111? (a) 2 (b) 0.1 (c) -1\/20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by -2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**3 - 3*l**2 + 3*l - 7. Let x(m) be the first derivative of m**4 + 7*m**3\/3 - 7*m**2\/2 + 15*m - 47. Determine -7*w(r) - 3*x(r).\nAnswer: 2*r**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 20 + -2 + -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10101 + 1\/((-7)\/28) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8924)\/29100 - (-4)\/450*-3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -53\/1991 in -0.02, -2, -3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2080, 0, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454911 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -486*t. Let d(f) = -8*f + 56. Give y(d(b)).\nAnswer: 3888*b - 27216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 5*h**2 + 6*h + 8. Suppose 0 + 36 = -6*s. Calculate j(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 23000, 23004, 23008, 23012?\n\"Answer: 4*c + 22996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 8:43 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1602 divided by 112.\nAnswer: -801\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 j when four letters picked without replacement from {d: 3, y: 5, j: 4}?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -14990916 - 0.01757?\nAnswer: -14990916.01757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 420, -90, 2\/5, -499, -0.4 in descending order.\nAnswer: 420, 2\/5, -0.4, -90, -499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1755 or 40341\/23?\nAnswer: 1755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 5:14 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/4)*k)\/k)**(3\/22)*((k\/(k**(-1\/5)*k))\/k)\/(k**(2\/13)\/k) assuming k is positive.\nAnswer: k**(69\/5720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 11*b**2 + b + 6. Let d(f) = -214*f + 441. Let h be d(2). Let r(p) = -2*p**3 + 23*p**2 + 2*p + 13. What is h*m(s) - 6*r(s)?\nAnswer: -s**3 + 5*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 - 34 + 35 - 15*i**2 + (-2*i**2 - i**2 + 2*i**2)*(3 - 4 - 1).\nAnswer: -13*i**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 2*t - 244, -2*q + 4*t - 17 = -149. Let y be q\/36 + (28\/18)\/(-7). Let v**2 + 0 + 2\/3*v**4 + 1\/6*v + y*v**3 = 0. What is v?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 35.566155 minutes?\nAnswer: 0.02469871875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 6*a**2 - 5*a + 3. Let q be t(4). Let r(f) = 11*f + q*f - 5*f - 1. Does 10 divide r(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 672006779.\nAnswer: 672006779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1 - 0)\/((-43)\/(-1118)) is divided by (0 - 1)*1 + 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4161533, 4161548, 4161573, 4161608, 4161653, 4161708, 4161773?\n\"Answer: 5*w**2 + 4161528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**2 - 102*r - 192 = 0. Calculate r.\nAnswer: -32, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3212 + 3210. Which is the fourth biggest value? (a) 1\/3 (b) -1 (c) t (d) -39 (e) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mhhhmhmhmhhhhhhhhhhm.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 0, -29, -92, -201, -368, -605?\nAnswer: -924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -37\/4*u**4 - 3*u**2 - 303\/20*u**6 - 877\/140*u**7 - 3*u**3 + 0 - 2*u - 651\/40*u**5 - 45\/56*u**8. Solve q(s) = 0 for s.\nAnswer: -3, -1, -2\/5, -1\/4, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 49*d**3 - 28174*d**2 - 580*d + 2854. Give h(575).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/31)\/v*v**(-25)*v*v**23*v\/(v*v\/(v*v**(-15\/4))*v) assuming v is positive.\nAnswer: v**(-829\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1274 or 0?\nAnswer: 1274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34069442 is divided by 34069416.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 z when two letters picked without replacement from liiillililllilzlzl?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 3*t**2 - 2*t - 3. Let y be p(4). Let a = -2 - -4. What is the remainder when 8 is divided by (-1)\/((a - y)\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 607 divide 3752510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 14 = -2*h - 5*k, -3*h = 5*k - 21. Suppose 1 = -3*o + 16. Suppose 4*t - o*t = -c + 146, 295 = h*c - t. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-15)*(-10)\/4. Let a = 4 + m. Let j be 3*3\/18*8. Solve 0 = -z - j + a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -11*z - 9*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -59097*x - 20188 wrt x.\nAnswer: -59097","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5940 divided by -990.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 4*n**2 + n + 2. Let y(d) = d - 4. Let r be y(6). Suppose t - r*t + 4 = 0. Give o(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -441*w**3 + 81*w + 81. Let z(m) = 11*m**3 - 2*m - 2. What is 4*g(n) + 162*z(n)?\nAnswer: 18*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -111003221 (base 4) in base 15?\nAnswer: -1a84e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of b**4\/12 - b**3\/2 - 3*b**2\/2 - 2*b. Suppose -25 = 4*y - 9*y. What are the prime factors of n(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 325 - 525. Let w = f - -206. Solve 0 = -5*d + w*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1414 - -1419. Solve -3*d = 3*g, b*d - 2*d + 5*g - 8 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 3. Let b be y\/10 - 26\/68. Sort 0.07, -4, b in decreasing order.\nAnswer: b, 0.07, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 11 = x + x, 0 = -5*x + 5*r - 20. Let w(q) = q**2 + q - 1. Let j(d) = 1 - 5*d - 5 + 9*d + 7*d**2. Determine x*j(b) + 6*w(b).\nAnswer: -b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**5 - 53*p**4 + 247*p**3 + 12909*p**2 + 30096*p - 209088 = 0.\nAnswer: -8, 3, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 5*v - 49, -5*v + 28 - 1 = h. What is the remainder when 107 is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 4*p = -35, -1730*p = 3*i - 1732*p + 23 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 420 and 5395068.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15686 is divided by 1726?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -34 + 7 - (5 - 5 - 10 - -19)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -279379596 or 2\/5?\nAnswer: -279379596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**2 + 5*c + 5. Suppose 5*l = 163 + 52. Let t = -48 + l. Let v(p) = 2*p**2 + 4*p + 4. Let w = 9 - 5. Give t*v(g) + w*r(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -8*j - 3. Let x be n(-2). Let v(w) = -w**3 + 3*w**2 + w - 4. Let y be v(4). Let b = 29 + y. What is the highest common factor of x and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from xdfbxxxcbxdbdddcccbb.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1079 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 5*z - 34 = 0, 234*z + 200*z + 23 = 2*p + 437*z for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1734?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + 3*w + 15, 2*w + 10 = -4*b + 4*w for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + 18 - (168 - 99)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5060388600 rounded to the nearest one million?\nAnswer: -5060000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-1 - 65\/(-50)). Suppose 5*x - 5 - u = 0, 0 = -l - 3*x + 35. What is the lowest common multiple of 20 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**(-2\/7))\/g)\/g)\/(g\/(g\/(((g\/((g*g**(1\/2))\/g)*g)\/g)\/g))))\/(g**22*g*g**(2\/17)) assuming g is positive.\nAnswer: g**(-5689\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -7.6?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 91 divided by -5\nAnswer: -91\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 330764272 to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -2, -3, -2, 1, 6, 13?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-13)\/13)\/(2\/(-14)). Suppose -c + o = -4. Does 2 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 5*v - 4. Suppose 515 = 7*n - 2*n - 5*r, 4*n = r + 397. Suppose -95*j - 285 = -n*j. Let m = j - 98. What is w(m)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1217, 2408, 3599, 4790, 5981?\n\"Answer: 1191*a + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gp when two letters picked without replacement from {o: 4, p: 1, g: 2, t: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 395, 383, 355, 305, 227, 115, -37?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16797674 divided by 37918.\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108674.\nAnswer: 2, 67, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -7 - 7*x**2 - 8*x + x**3 - 6*x**3 + 4*x**3 + 2*x**3. Calculate c(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*g + 22. Let w be 6\/(-33) + 2\/g. Which is smaller: -2 or w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1743314120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -38*x - 4750. Let u be c(-125). Which is smaller: u or 2\/4171?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 6:55 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.729 times -0.5?\nAnswer: -1.3645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2736) + -1 - 2*(sqrt(2736) + 1))**2.\nAnswer: 72*sqrt(19) + 2745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 234 and 36426.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7501*c**3*q**3 + 35*c**3*q**2 + c**3*q + 48310*c**2*q**2 + 7*c*q**3 wrt c.\nAnswer: -45006*q**3 + 210*q**2 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-672)\/(-192))\/(((-245)\/24)\/(-35)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 + 33*d**2 - 5*d**3 - 7*d**2 + d**3 + 49*d**2.\nAnswer: -3*d**3 + 75*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*b + 22*b = 239760. What is the thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a hour in seconds?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33213, 33464, 33881, 34464, 35213?\nAnswer: 36128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -85, -152, -253, -400, -605, -880, -1237?\nAnswer: -1688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.15589kg to micrograms.\nAnswer: 78155890000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19 - (-13 - -8 - -10) - 38\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 z when three letters picked without replacement from {m: 1, x: 1, z: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38)*1)\/sqrt(2) - (sqrt(19) + 0 + sqrt(76)))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*i**4*t + 4*i**3*t - 3*i**2*t - 8*i**2 + 2*i + t - 2709 wrt i.\nAnswer: 72*i**2*t + 24*i*t - 6*t - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqhxqxqfqqqjqq. Give prob of sequence hfx.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 6\/7 (b) 0 (c) 634\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 585772315, 1171544632, 1757316949, 2343089266, 2928861583, 3514633900?\nAnswer: 4100406217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -18 - (-84 + 86 + 1 + -4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -7*m - 39. Sort 5, 10\/13, m, 0.5 in descending order.\nAnswer: 5, 10\/13, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1)*z)\/((z*z**5*z)\/z))\/(z**(1\/5)*z\/z**(-5)*z)*(z\/z**(1\/2)*z)**(-46)*(z*(z*z**(1\/3))\/z)**(-29) assuming z is positive.\nAnswer: z**(-1798\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*i + 3727 - 1975 = -3858 for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -9) + (-7 - (6 + -11))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**10\/q)**(-4\/31) assuming q is positive.\nAnswer: q**(-40\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**3 + 69*x**2 + 72*x = 0.\nAnswer: -1, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 32*u**2 + 44*u + 20. Let k be x(18). Let y = 1923 + k. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**2 - 11265*q = 0 for q.\nAnswer: -2253, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 521*c**3 + 5*c**2 - 11*c + 5. Let r(i) = 261*i**3 + 2*i**2 - 5*i + 2. Determine 2*k(q) - 5*r(q).\nAnswer: -263*q**3 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-118)\/(-3)*12\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 8*k**3 - 8*k**2 - 14*k + 5. Let h be l(-2). Which is greater: -64 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13422608 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 3153*j - 3 - 23 + 33 to the form m*j + x and give m.\nAnswer: -3153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5510 (base 7) in base 4?\nAnswer: -132233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 9*p + 11. Let q be o(-8). Suppose -18 = -q*a + 27. Calculate the highest common factor of a and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -15. What is the second derivative of b*a**5 + a**5 - 2*a - a wrt a?\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 5:58 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012083716 to six dps.\nAnswer: -0.000121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1\/1*(2820\/3384)\/(15\/(-1206)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48\/5 - -46\/5. What is the closest to -2 in 2, 1\/2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*a = 29, -41 = 5*t + a - 0*a. Let g(x) be the first derivative of 2*x**2 + 9*x + 12383. What is g(t)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-68)\/(-51) + (-140)\/(-3))*(-22 - (-3003)\/132)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284320422.\nAnswer: 2, 3, 5265193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 317 in 3\/4, -2, 154, -4, 0.4?\nAnswer: 154","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 111202 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - v**2 + 3*v - 6. What is the least common multiple of h(2) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z + 14*z + 48*z**2 - 23*z + 11*z as i + q*z**2 + r*z and give q.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, f: 1, z: 1, g: 1, s: 4}. What is prob of sequence zsg?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2680 + -2669. What is the nearest to -1\/3 in 3\/7, 0.5, k?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*l + 415 - 51. Let d be 2\/4 - 33\/(-6). What is the remainder when l is divided by (10\/(-4))\/((-1)\/d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in -5, 2\/9, -14?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6110\/9*v**2 - 1952\/3*v + 338\/9*v**3 + 152.\nAnswer: 2*(v + 19)*(13*v - 6)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*q + 3*t, 0 = 2*q - 4*t + t - 4. Let r(b) = 0*b**2 - 4*b**2 + 5*b**2 - b - b**3. Calculate r(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, v: 11}. Give prob of picking 3 k.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 484 + 185. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 13012?\nAnswer: 1300b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 69. What is the second derivative of -334*o + 144*o + 126*o - k*o**2 wrt o?\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, k: 3}. Give prob of picking 3 i.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140569 is divided by 320.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27791582 to the power of 1\/2, to the nearest integer?\nAnswer: 5272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**2\/(o*o**(-1\/28)*o)*o**(-13)*o*o\/((o\/(o\/(o\/o**15)))\/o) assuming o is positive.\nAnswer: o**(113\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -4*z**2 + 10*z - 19. Calculate q(3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -17*k + 6. Let q(d) = -10*d**2. Determine q(t(f)).\nAnswer: -2890*f**2 + 2040*f - 360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-55))\/(5310\/(-7788))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 24 = 4*t, 2*w = 5*t - 2*t - 23. Sort t, 2, 9, -2.\nAnswer: -2, 2, t, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -418.6002 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -5289a?\nAnswer: -528a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iggiwteeewawgeawigii. What is prob of sequence wagt?\nAnswer: 4\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*y + 73 - 9*y - 12*y - 145*y**2 + 45*y - 11*y wrt y.\nAnswer: -290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - -0.3. Let s be 2 + (-1 + -11)\/4. Let x = s - -1\/4. What is the second biggest value in t, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*504\/140 + -803. Which is greater: -836 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2153?\nAnswer: 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) -1\/15 (c) 0.4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4858 + -4862. Let g(r) = 6*r**2 + 9*r - 15. Let a(i) = 3*i**2 + 4*i - 7. Give v*g(l) + 9*a(l).\nAnswer: 3*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8219?\nAnswer: 8219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6203 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1204 (base 5) to base 3.\nAnswer: -20122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand m - m + m**4 + (-2*m**2 - m**2 + 2*m**2)*(4*m**2 + 4*m - 4*m).\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1334360, -2668718, -4003076, -5337434, -6671792?\nAnswer: -8006150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**2. Let c(b) be the first derivative of -26 - 17\/2*b**2 + 0*b. Determine c(o(d)).\nAnswer: -51*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 7 = f + 2*s, 2*s = -2. What is the smallest common multiple of (6\/f + -8)\/((-20)\/24) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -64*c - 1. Let z(j) be the third derivative of j**4\/24 - j**3\/6 + 17*j**2. Let r be z(-2). What is the tens digit of w(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -59, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -22, -2?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - -47)\/(-8) + (0 - -46). Solve -4*m + t = 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/(sqrt(12)\/sqrt(3)))\/((3*sqrt(90) + sqrt(90))\/sqrt(9)).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.037 and -790024?\nAnswer: 29230.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/1)\/1 - 0. Suppose -5*r = t - 4*t - 8, 0 = -5*t + m*r + 12. Suppose -5 = 19*g - 5. Solve -t*l - 5*f + 15 = g, -l - 4*f + 1 + 0 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -324, 92 in ascending order.\nAnswer: -324, -38, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7521135 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.99 + -0.01. Let h = -3 - z. Let i be (-9 + 10)*(-3 - 0). Which is the third smallest value? (a) i (b) 2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 48 - 51 = 3*l, 16 = 2*l - 4*p. Factor -8\/9*r**3 + 4\/9*r**4 + 0 - 4\/3*r**l + 0*r.\nAnswer: 4*r**2*(r - 3)*(r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 389*f - 338*f - 45747 = 0. What is the remainder when f is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 + 83. Let t = c + -50.9958. Round t to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 3*u = 0, 0 = 4*s - 4*u + 123 - 119 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11120 divided by 2780\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 62581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -7. Suppose -5*m - 5*c = 29 - 204, -3*m - j*c = -95. What is the greatest common factor of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + j + 5. Let y be t(0). Let s be y\/(-6) - (-10)\/(-60). Let g = -113\/6 + 39\/2. Which is greater: g or s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-47 - (15 - 32)) + 18 + -1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 4:05 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1701 * 17.\nAnswer: -28917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nu when two letters picked without replacement from euhhcepn.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.17 + 1. Let v = x - -0.07. Let g = v + 0.0952. What is g rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c**4*r - 3*c**4*v + c**2*v + 28*r*v - 2*r + v wrt c.\nAnswer: 8*c**3*r - 12*c**3*v + 2*c*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 6:32 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.541689145 to one decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 864943 times -32\nAnswer: -27678176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**5\/30 + r**4\/3 + 187*r**3\/6 - 2*r**2 + 10*r. Is p(0) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 331 divide 16805897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 12) to base 9.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 215.371?\nAnswer: -646.113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2047675 and 2632725.\nAnswer: 18429075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h + 4*h - 6 + 9. Let n(v) = -v - 1. Let y(m) = -a(m) - 3*n(m). Let z(x) = -x**2. Calculate y(z(b)).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 6. Suppose -p + 2 + 15 = 3*b, -b + 3*p - 11 = k. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/19040 and 59\/579360?\nAnswer: 4055520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 w when three letters picked without replacement from wwwwwvvw.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 292 and 46862204?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -19*g**2 - 77*g + 764. What is b(-8)?\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (1 + 3 + 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yz when two letters picked without replacement from {y: 1, z: 2, f: 2, h: 1, r: 2, m: 5}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2763 + 6?\nAnswer: -275c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*g**3*l**2 - 2006*g**3 - 13*g*l**2 - l**2 wrt l?\nAnswer: 10*g**3*l - 26*g*l - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 12:27 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*z**2 - 82 + 82)*(6*z + 0*z - 2*z)*(-1 + 1 + 1) to the form b*z + t + q*z**3 + j*z**2 and give q.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 630.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 11:23 PM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.13652 + 4.487. Let p = y - 0.35. Round p to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 662472163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (2 - -2)) + (10 - -49)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + x**2 - 7*x - 22. Let f be y(-2). Calculate the highest common factor of 676 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -1. Let a be (65 - 23)\/(-6) + (0 - (-2 - 2)). Let w(u) = -u**2 - 12*u + 2. Calculate a*s(i) - w(i).\nAnswer: i**2 + 12*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 37451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (33\/9)\/(1\/3). Suppose 0 = -7*c - 4*c - 3*c. Let p(d) = -d**2 - b - d**3 - 7 + c*d**2 + 3. Calculate p(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 11*z + 105. Let k be c(-10). Let m(u) = 10*u + 50. Determine m(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-2)*(-151)\/151?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 53, 2 in decreasing order.\nAnswer: 53, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -12*r**3 + 3*r**2 + 12*r - 1. Let a(k) = -12*k**3 + 4*k**2 + 13*k - 1. What is 3*a(o) - 4*t(o)?\nAnswer: 12*o**3 - 9*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p - 3*p + 2*p)*(0 - 2 + 3)*(1413*p + 66*p**2 - 1413*p) to d*p + w + c*p**2 + h*p**3 and give h.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -6*x**4 - x**3 + x**2 + x. Let w = 6 + -12. Let q(i) = 7*i**4 + i**3 - i**2 - i. Let c(u) = w*p(u) - 5*q(u). Factor c(k).\nAnswer: k*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 5:45 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 3, 1 in decreasing order.\nAnswer: 3, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 - (-56 - -59).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -16. Solve r*q = -0*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - h - 643, 0 = 5*n - 8*n + 2*h + 476. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = p + 4, -2*p = -4*t + 2*p. Let x = -1 + t. Let j = -2.33 - -2.43. Put -2\/7, x, j in increasing order.\nAnswer: -2\/7, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -692*o**2*p**2 + o**2*p + 3*o**2 - 42*o + 5*p - 17 wrt p?\nAnswer: -1384*o**2*p + o**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -801 - 499. Let q = u - -31297\/24. Find the common denominator of 5\/69 and q.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -20. Suppose -2*j = j - z + 60, -p*j = 5*z + 23. Let y = j - -37. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -2.2. Suppose -4 = 2*a - 5*u + 1, -2*a - 8 = -2*u. Let d(w) = w + 4. Let y be d(a). Put -4, y, p in decreasing order.\nAnswer: p, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/(-480) - (-8)\/(-165)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3851875 and 225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x - 7 + 5 - 3 + 2*x**4 - x**3 + 4*x**3 to o*x**4 + p*x**3 + i + k*x + m*x**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 26 + 8 + -1 + 1\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1342269.\nAnswer: 3, 17, 31, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 20 = -8*s, 2949*x - 18 = 2946*x + 4*s for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 0*h**4 + 0*h**2 - 3 + h**3 + 0*h**5 + 1\/2*h**6 + 0*h. What is the third derivative of d(r) wrt r?\nAnswer: 180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 35*k**2 + 1. Let i be (0 - 1)\/(3 + -2). Let t be f(i). Suppose 3*p = 2*c + 32, -c = 2*p + 3*p - t. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -2*j - 0*j. Let w = -32449 + 32464. Calculate the greatest common factor of j and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.7 + -0.3. Let x = 13.4 + m. Let y = 0.01 - -3.99. What is the second smallest value in x, -2, y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -7*j**4 + 33*j**2. Let k(y) = 2*y**4 - 11*y**2. Let u(s) = -17*k(s) - 6*l(s). Find the third derivative of u(a) wrt a.\nAnswer: 192*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 423564.\nAnswer: 2, 3, 47, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.052? (a) -5 (b) 36 (c) -1104\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*r - 6*r + 6 - 4)*(1 + 2 - 5) in the form h + o*r and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bx when two letters picked without replacement from mvxmmxvbvv?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5900580 and 23415.\nAnswer: 5900580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9413.528 decades to centuries.\nAnswer: 941.3528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -11*p - 2*p**2 + 4*p + 7*p. Let n(m) = -m**2. Determine n(v(d)).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (8\/20)\/((-3)\/(-180)) is divided by (-2)\/14 - 36\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 15, 0*k - 2*o - 10 = k. Suppose 0 = 5*t - 2*v - 55, t + 3*v = -3 - 3. Suppose -3*s = -k*s + t. Let b(y) = 2*y**2 + 5*y + 4. Calculate b(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 36 + f - 58.\nAnswer: f - 101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*t + 6657789 = -847364. What is t rounded to the nearest one thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0 + (43 - (-2 + (4 - 2))) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.023 and 56.\nAnswer: 56.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22\/3 + 7. Let g = -0.3 + -0.7. Let p = g + -2. Sort l, -2, p in descending order.\nAnswer: l, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1083 and 387.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 9*i**2 - 2*i - 9. Let c be r(-9). Suppose 5*v - 6 = c. Let u be (1216\/640 - 3\/2)*5. Solve 2*t = -2*k - u, -v*t - 10 = k - 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-3))\/(1\/(-3)). Let f be (-1)\/5*(24 - 26). What is the nearest to 2 in f, 4\/7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k**2 - k. Let l(f) = 111*f**2. Calculate r(l(u)).\nAnswer: 49284*u**4 - 111*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**4 - 13866*j**3 + 238872*j**2 + 10588506*j - 10813509 = 0. Calculate j.\nAnswer: -4639, -21, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/14*2422\/8650.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 + 12 + 7)*(4*w**2 - 5*w + 5*w)*(13*w - 3*w + 0*w) in the form m*w**3 + q*w + j*w**2 + k and give m.\nAnswer: 1400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 - 42441?\nAnswer: -42424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 262*l + 2. Let o be v(3). Let i(k) = -47*k - 5. Let a be i(-4). Suppose -5*u + o = a. Calculate the highest common factor of u and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 60*z**2 + 52*z**2 - 116*z**2 + 130*z**2. Let y(w) = -5*w. Calculate y(f(c)).\nAnswer: -630*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**4 - 2*f**5 + f**4 + (-3*f + 5*f + 0*f)*(-f**4 + 1 - 1) + 0*f**5 - 6*f**5 - f**5.\nAnswer: -11*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 114\/(-4) + 1\/(-1) and -63\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 5*d - 169 = 0. Let g = 4 - 2. Sort d, -5, g in descending order.\nAnswer: d, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3 - 1 = 0. Let w(s) = s**3 - 7*s**2 + 2. Let i be w(7). Let g = 3 - 0. Solve -g*l = -4*a - 21, -n*a - 7 = -i*l + 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 5*f - 25 = 0. Let s(d) = 7*d + 9. Let p(q) = 11*q + 14. Let u(a) = -3*a - 58. Let i be u(-22). Determine f*p(w) + i*s(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 + x**3 + 2*x**3)*(9 + 6*x - 9) - 3*x**4 - x**4 + 5*x**4.\nAnswer: 7*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36.2 - -36. Which is the closest to -1? (a) 4 (b) k (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2438 divided by 159\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (1\/1)\/(195\/(-1560))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -20*x + 2. Calculate y(2).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -7*j**3 + 2*j**2 - 1. Let g(c) = -2*c**2 - 31*c - 12. Calculate the lowest common multiple of g(-15) and h(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/752 and 83\/7577810.\nAnswer: 60622480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4884940 * 5.\nAnswer: 24424700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -608*y - 16300\/3*y**4 - 94813\/6*y**2 - 1250\/3*y**5 - 6 - 121301\/6*y**3 = 0.\nAnswer: -6, -1, -1\/50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 20 = a, -3*x - 4*a + 7 + 34 = 0. Suppose -5 = 2*d + l, 3*d + 3*l - 35 = -44. Sort d, x, 4 in descending order.\nAnswer: x, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(68) + 0)**2 + (sqrt(68) - (-2 + sqrt(68) + -1 - sqrt(68)))**2 + ((sqrt(2448) + -1)**2 - (sqrt(17) - sqrt(816)\/sqrt(3))**2) + -4.\nAnswer: -12*sqrt(17) + 2436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 1 + 1630*h + h**3 + 3 + 26*h**3.\nAnswer: 27*h**3 + 1630*h + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + k = -29, 629*m - 3*k - 1134 = -6151 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -88403 + 16?\nAnswer: -88398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-2)\/(-3)*3135\/550.\nAnswer: -38\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88 and 352.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17666549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1733*771\nAnswer: -1336143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33045 is divided by 11013.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 15*u - 7. Calculate x(-5).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -552 + 548.99. Let i = f - -3. Let q = -17602 + 17602.8. What is the second smallest value in q, 3, i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -74*y + 58*y + 76*y. Is o(4) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**4\/7 - 116*w**3\/7 + 2130*w**2\/7 - 13672*w\/7 + 19720\/7 = 0.\nAnswer: 2, 10, 17, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 18000.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 70\/98*7 + (9 - -1). Sort 1, p, 2, 0 in decreasing order.\nAnswer: p, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -14018.\nAnswer: -3\/14018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - (39 + -35 + 32 + -150)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 298 - 113. Let o = j - 78. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2185201?\nAnswer: 2185201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a2 + 15569b?\nAnswer: 1555d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from twtt. Give prob of picking 3 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 6*y + 6. Let m be a(-7). Let o be (2 + -2)\/(m + -2). Suppose 74 = 2*s - o*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 6*x - 2*n - 420, 0 = 5*x + n - 700. List the prime factors of x.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-9)\/((-45)\/(-10))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**37*m**(2\/33) assuming m is positive.\nAnswer: m**(1256\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/4)\/(l\/(l*l\/(l**(4\/17)*l)*l))*(l\/(l*l*l**(1\/6)))\/l*l**(26\/3)\/l)**48 assuming l is positive.\nAnswer: l**(4908\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -3) + (-1 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.0043 - 27.0043. Which is the second smallest value? (a) 7\/2 (b) w (c) -17\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 872501?\nAnswer: 7, 124643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m**2 + 892*m + 3. Let p(v) = 17*v**2 + 2678*v + 10. Calculate 7*h(f) - 2*p(f).\nAnswer: f**2 + 888*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2622*p**2*s - 9*p*s + 40*p wrt p.\nAnswer: -5244*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -557*s**2 - 5*s - 7 + 554*s**2 + 19 - 16. Determine d(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 - -59. What is the least common multiple of x and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 29. What is the remainder when m is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15979 + -15978. Let w(v) = 2*v**2. Let z be w(1). Put s, 9, z, 4 in decreasing order.\nAnswer: 9, 4, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 9:46 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 10*l + 12. Determine b(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.352761 to one dp.\nAnswer: -20.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36860069*t**2 - 39245774*t wrt t.\nAnswer: -73720138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 + (59 - (62 + -48))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14156\/3 - 4718. Which is the third smallest value? (a) z (b) 2\/7 (c) -185 (d) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 35*p**2 - 78*p + 23. Let c be n(2). Let i be (-2)\/10 + (-516)\/(-30). Solve -3*d - 12 = -c*d + 2*v, -5*v = 3*d + i for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 426 and -5.\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -24\/439?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12 - -5b1?\nAnswer: 59f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-13\/5)*s*s*s**(-1\/13)*s*(s\/(s\/(s**(3\/8)*s)))\/(((s*s**(2\/31))\/s)\/s) assuming s is positive.\nAnswer: s**(42453\/16120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/14 - (-9)\/7. Is 158 + 3 + -1 + f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*c - 4*k - 2309 = 0, 2*c = 2*k + 922. What are the prime factors of c?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, h: 4, s: 1}. Give prob of picking 4 h.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 12*d**3 + d**2. Let q be 2 + (-4)\/(-2 + 6). Let u be i(q). Calculate the greatest common divisor of 143 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189601918?\nAnswer: 2, 11, 17, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 12:11 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 323 - -107. Let b = k + -430.05. Which is bigger: b or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1407 - 1404. Suppose -3*b + 5*b - 8 = 0. Let o(y) = y**3 - 5*y**2 + 4*y. Let g be o(b). Solve -s = -r + 1, g*r - 11 = w*s + r for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 1)*(2 + 0 + 100*b - 49*b).\nAnswer: -204*b - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 1:43 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**3\/7 - 204051*m**2\/7 + 408090*m\/7 = 0.\nAnswer: 0, 2, 68015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110111011011 - -1000110?\nAnswer: 101111000100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54034.21l to millilitres.\nAnswer: 54034210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 5:57 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s. Let l(b) = 4768860*b. What is l(f(u))?\nAnswer: 4768860*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*h + 4*h**3 - 1 + 2 + 8*h**4 - 6*h**4 in the form s*h**2 + o*h + t + p*h**3 + g*h**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-1) - 13\/5. Put -1, 1\/2, a in decreasing order.\nAnswer: 1\/2, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*m - 11*m - 115 + 114)*(17*m + 13*m - 31*m).\nAnswer: -9*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158547 is divided by 344.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 7*p - 5*r - 18761 = 0, -r = 3*p - 18755. Is p a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 652165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 - 299*a**2\/3 + 34*a + 200\/3.\nAnswer: -(a - 1)*(a + 100)*(3*a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5172\/7 - -4226\/7. Let p = r - -8374\/63. Which is bigger: -3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 29*u**6\/120 + u**5\/4 + 8*u**2 - 18*u. Let d(p) be the first derivative of h(p). Find the third derivative of d(b) wrt b.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3412263*h**3 + 12*h**2 + 140789*h.\nAnswer: -20473578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**2 - 560*f - 440084 = 0. What is f?\nAnswer: -269, 409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j = -362 + 370 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 10 = -w, -w + 5*s + 46 = 30. Solve z - 2*o = w, 5 = -5*z - 0*o - 2*o for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -986 + 993. Solve 2*p - 4*z = 6, i*p + 3*z = 4*p + 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -1 (c) 2\/17 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/3 and -39\/5910208?\nAnswer: 17730624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (9 + -15)) + -6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8 - -13 - (32 + -16)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 816746531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 a when two letters picked without replacement from {h: 2, a: 1, t: 2, n: 4, b: 5}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3181*v**2 + 3098*v + 6. Give i(1).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -176\/27 (b) -2\/5 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + w - 30 = 0. Suppose 0*u + 38 = 2*u + 4*m, -3*m = -2*u + w. Suppose -t + u = -3*k + 60, 5*t = 25. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.05084 - -0.05084. Put 3\/5, 4, -2\/5, a in decreasing order.\nAnswer: 4, 3\/5, -2\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**16)**(-18)\/((w*w**(-4\/17)*w)\/w**13) assuming w is positive.\nAnswer: w**(-4705\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30968782, 30968747, 30968702, 30968641, 30968558, 30968447, 30968302?\nAnswer: 30968117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y - 1. Let u be j(4). Suppose -u + 6 = -v. Suppose 0 = -v*c + 8*c + 70. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 6 = -u + 3*j, 0 = -j + 5. Suppose u*w = -20, -3*w - 30 = -4*l + l. Calculate the remainder when 23 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrsrrrrrrrrsrssrrr. Give prob of sequence sr.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6*g**3 - 5*g**2 - 2*g - 3. What are the prime factors of a(-2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 27113619?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 15*n - 14. Is t(-33) a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 7*z + 3. List the prime factors of y(4).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2 - 3*h - 5. Let n(q) = q**3 - 5*q**2 - 8*q - 11. Give 5*g(p) - 2*n(p).\nAnswer: -2*p**3 + p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.99961 tonnes in micrograms?\nAnswer: 25999610000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2 = 0, 0 = 2*x - 4*x + 2*f - 8. Is x smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16025ab (base 12) to base 10.\nAnswer: -4483283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + ((-81)\/12)\/(-3). Let w = -19\/12 + i. Let u be -1 - 0*(-1)\/2. What is the nearest to -2\/5 in w, u, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (208\/(-468))\/(1\/(-9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3071*i = -3066*i - 5. What is the second smallest value in 0, 3, -2\/21, -3, i?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = i + 6, 2*w - 35995*i + 36000*i = -17 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -172.63 rounded to zero decimal places?\nAnswer: -173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 176944 divided by -4\nAnswer: -44236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 49. Suppose -20*x**4 + 14*x**3 - b*x + 21*x**3 + 5*x**3 - 30*x**4 + 42*x**2 + 8 = 0. What is x?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -38 + 8070566?\nAnswer: 8070529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 550.295 and -0.1?\nAnswer: 550.395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -15437.7744 to the nearest one hundred.\nAnswer: -15400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4790481?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -10*d**3 + d**2 + d - 1. Let r be t(1). Let v(g) = -g**3 - 9*g**2 - 7*g - 1. Let o be v(-8). Is r smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -72*b**4 - 23297*b**3 - 2939149*b wrt b.\nAnswer: -864*b**2 - 139782*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -10*x**2. Let n be (5 + (2 - 6))*3. Suppose 2*y = c + 10, 5*y + n*c - 10 = 4. Let u(h) = 4*h**2 - 5*h**2 + y*h**2. Calculate u(d(s)).\nAnswer: 300*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14, 51, 118, 221, 366, 559?\n\"Answer: b**3 + 9*b**2 + 3*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*k + 6*k - 37*k + 5376 = 11*k for k.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/2)\/(8 + 1570\/(-200)). Let b(z) = -z**2 - 9*z - 5. Let m be b(-8). Solve r = m*r + d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -3. Let n = t - 2.9. Let a = 146706 - 146706. What is the closest to a in n, -5, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -60 (c) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/4, 2\/5, 558, -0.03?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 u when four letters picked without replacement from yyylrrruayuyryya?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5346\/108*(-2548)\/(-1078).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 2*y - y**3)*(2*y**2 + 76*y - 76*y) + (-2 + y + 2)*(-y**4 + y - y).\nAnswer: -3*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 551*d - 103*d - 195711 = 101313. Calculate the greatest common factor of d and 624.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppdpidppdppppp. Give prob of picking 2 p.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 118*q - 2118. What is j(18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*l**2 - 1502554*l\/5 + 40068\/5.\nAnswer: 2*(l - 10017)*(75*l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -883 or -882?\nAnswer: -882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5, 5*d = 2*b + 2*b + 635. Calculate the remainder when d is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (16 - (-3 + 8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-2) + -1 - -2. Suppose 12 - 168 = -v*g. Let y = -19 + g. Does 15 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = -2*u + 5*z - 76, 3*u = -39*z - 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14e (base 15) in base 14?\nAnswer: -175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -444 by -15.\nAnswer: 148\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -4*d - 56, 235*w - 237*w = 16*d + 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -5 + 19. Let l be (-28)\/6*(8 + y - 315). Let i = l - 15849\/11. Find the common denominator of -73\/9 and i.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 51048 divided by -1587?\nAnswer: -17016\/529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4*(-3*(sqrt(567) + -1*sqrt(567)))\/(sqrt(900) + 1*sqrt(900)) + 0 + -5)**2.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d + 1. What is the units digit of o(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -520802?\nAnswer: -520802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.0416077797 and -0.4.\nAnswer: 0.6416077797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(6*(-2 + -1 + sqrt(147)) - (sqrt(147) + -1 + 3 + 4)))**2 + 1.\nAnswer: -1680*sqrt(3) + 4252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/140 and 145\/42?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 2\/17 (c) -2 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3955 is divided by 106.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 + -0.6. Let f = 481 - 479. What is the biggest value in f, 3\/7, c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 1, 54, -1\/6, 5\/7, -6.\nAnswer: -6, -1\/6, 5\/7, 1, 8, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 201886893 and 85514?\nAnswer: 3887","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2615*s - 2620*s + s**3 - 19 - 2 + 5*s**2. Let l be c(-4). Let q(h) = -222*h + l*h**2 + 222*h. Let o(v) = 6*v. Determine o(q(r)).\nAnswer: 90*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 15, -3*h + 4*d = 435 - 35. Let j = 144 + h. Solve -j*b - 4*o + 16 = 0, -3*b + 5*o = -0*b + 12 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - (-11 - 7) - 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1231140 (base 5) to base 7.\nAnswer: -126511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -62 - -67. Suppose 2*p + 8 = -0*p - 4*z, -5*p = -g*z - 10. Suppose p = -16*s + 12*s + 40. Calculate the smallest common multiple of s and 34.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 119481050?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22002112 - 12?\nAnswer: 22002100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 808 and 36?\nAnswer: 7272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3 + 12. Let y = -24 - -24. Suppose y = s*q + 10, 3*q - q + 16 = 4*p. Solve -3*x = p*a + 8 + 4, 4*a = 5*x - 16 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6810*h**2 + 221*h**4 + 6810*h**2)*(4*h - 4*h + 4*h).\nAnswer: 884*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 3*t**2 + 4. Let f be j(3). Suppose -98 = f*k - 30. Let a = k + 12. What is the third biggest value in 3\/4, 2\/7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2004414 (base 5) in base 12?\nAnswer: 1652b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5225 and 50.\nAnswer: 10450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -238.2 * 313.\nAnswer: -74556.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 660 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1233, 1232, 1231?\n\"Answer: -v + 1234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1\/11410 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4480267 * -0.03\nAnswer: -134408.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 26 = 10. Suppose 0 = -5*a + 5*w, 6*a - 3*a = r*w - 4. Solve 8*k - 16 = a*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -2 + 0 + -5 - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 8 = 6*r. Suppose 0 = r*f - 69 + 7. Is 21 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/3)\/(6\/(-36)). Suppose -f - k*f = 0. Solve 3*c - c + 10 = f for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 + -36. Suppose -3*c = -0*c + x*f - 147, -82 = -2*c + 2*f. List the prime factors of c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 491\/72 + 5\/9. Suppose -3*w - 8*w - 726 = 0. What is the common denominator of r and (1 - (-70)\/w)\/((-56)\/(-1995))?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*q + 2296 = 61*q. Suppose -q*w - 8 = -172*w. Which is the nearest to -1? (a) 0.2 (b) -0.1 (c) w (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/105*40\/16.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -4 (c) 2\/7 (d) 0.1 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -232, 0.2, -5, -2, -17\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 8 - 27*m - 12*m to n + s*m and give s.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1155)\/(-6))\/5 - 9\/6. Let g = x + -34. What is the second derivative of g*u**5 + 33*u - 30*u - 24*u wrt u?\nAnswer: 60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3138, -2, 2, 0, -4283 in increasing order.\nAnswer: -4283, -2, 0, 2, 3138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 5:31 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(2\/5))**(-2\/61)*o*o**(1\/9)*o**(3\/5))**(-27) assuming o is positive.\nAnswer: o**(-13659\/305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 294133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4453 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 16*i**2 - 245*i - 1078. What is l(19)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 12950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2\/7, -0.525 in decreasing order.\nAnswer: 5, -2\/7, -0.525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-16)\/(o**(2\/17)\/o))**(11\/4) assuming o is positive.\nAnswer: o**(-2827\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-42999)\/(-198) + 3\/2. Let n = m + -214. Which is greater: 5 or n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - x + 4*n + 23, x - 26 = 5*n. Suppose t + 5*z = 4, -5*t + 4*z + 9 = -x. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, w: 2, u: 2, g: 3}. What is prob of picking 1 g and 2 d?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42013 by -4.\nAnswer: 42013\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -77, 0.152, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hbf when three letters picked without replacement from {h: 1, b: 8, f: 2, t: 4}?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64 - 56. What is the tens digit of -1*(-90)\/(-4)*c\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c + 56. What is l(124)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(4\/(-6))*2. Let s(t) = -t**2 + 2*t + 3. Let p be s(3). Suppose p = -4*u + 25 - 9. Sort q, u, -5 in ascending order.\nAnswer: -5, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21\/6*16\/4. Let j(k) = -u - 15 + 29 + k**3. Let o(t) = -t**2 + 2*t. Let f be o(1). What is j(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 - 61. What is the remainder when 88 is divided by 135\/12*u\/(-9)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -15*(2\/2 + -2). Let o be (48\/c)\/(7\/175). Let y = 90 - o. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 99*f + 4273. Calculate n(-50).\nAnswer: -677","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14, 96, 312, 728, 1410, 2424, 3836?\n\"Answer: 11*h**3 + h**2 + 2*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 11:46 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95 and 190?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 20c (base 13) to base 3\nAnswer: 110222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) - (sqrt(209) - 4*(sqrt(209) - sqrt(209)*2)))\/(-1*-2*sqrt(11)).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 7:57 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k**3 - 3*k**2 - k + 2. Let a be o(2). Suppose 4*s + t = 38, 0*s + 4*t = -2*s + 12. Is (-4)\/a - (-222)\/s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15890828021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1652 - 1654. What is the biggest value in 1\/11, j, 2, -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56 or -382\/7?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1122 + 111200?\nAnswer: 120022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -62 (b) -5 (c) 0.2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - l**2 + 9*l + 3. Let d(x) = -3*x**3 - 3*x**2 + 19*x + 5. Let b(j) = 2*d(j) - 5*k(j). Calculate the remainder when b(-4) is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 1.4. Let x be -3*(3\/(-9))\/(-1)*-2. Which is the second biggest value? (a) d (b) -1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1482, 1484, 1484, 1482, 1478, 1472?\n\"Answer: -m**2 + 5*m + 1478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*p - 5. Let f(z) = -z**2 + 8*z + 5. Let q(l) = 3 + 8*l + 3 + 0*l. Let r(s) = p*f(s) + 6*q(s). Solve r(k) = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r - 38. Give n(-24).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 963 and 7071630.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of 0*m - 1\/4*m**4 + 0*m**3 + 0 + 76*m**2 + 1\/60*m**5. Let y(g) = -6 + 6 + 2*g. Give y(n(c)).\nAnswer: 2*c**2 - 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3125 and 74909375.\nAnswer: 3125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-30)\/4*(-56)\/35. Let x = 0 - -5. Suppose 13 = x*i - 7. Calculate the highest common factor of q and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 2 + -7 + -10 + 11 + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2. Let m(b) = 19*b + 13. Let p(w) = 9*w + 6. Let c = 31 - 18. Let q(n) = c*p(n) - 6*m(n). Give q(u(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4789*w + 636944. Calculate y(-133).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z. Let t(p) be the third derivative of p**4\/12 - p**3\/6 + 2*p**2. Give 4*f(a) + t(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23683?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (1 - (-1 + -43 + 49 + (-8 - 46)))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 878 is divided by (-11 - 513\/(-45)) + 1\/(20\/17452)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74 - -89. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/(-18) + (-2)\/(-4). Let y be (0 - p)*1\/2. Solve 5*n - 17 = -2*b - y, 0 = -3*b + 5*n - 12 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 432739 is divided by 218.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1097577 divided by 18603\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 440 (base 9) to base 2\nAnswer: 101101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*l - 8169 = -96*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.9 and 131652.\nAnswer: -1303354.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + l = -0*l - 2, -l = -4. Let o be (x + (-10)\/4)*-78. Let d = -1 + o. What is the remainder when d is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -497133a?\nAnswer: 4971343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/80*-5*-10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -1\/2, -17\/1230, -2\/13?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/(2016\/(-40))*(-189)\/7*1\/(-1).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 12*b + 8. Let i be m(-9). Let t = -41 + 76. Suppose 5*a - 37 = -4*s, -4*a - 2*s + t = 3*s. Calculate the highest common divisor of a and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1 - 1628\/(-900) - 18\/81 and 59\/850.\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 9:11 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4971.\nAnswer: 3, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -726, -2623, -5790, -10221, -15910, -22851?\n\"Answer: g**3 - 641*g**2 + 19*g - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1801353600 rounded to the nearest one hundred thousand?\nAnswer: -1801400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 160 = -5*y, 5*y + z + 148 = -24. Let s = -53113\/6 - -8875. Calculate the common denominator of (4 - 1)\/(50\/y) and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*v + 8*v + 4*v)*(6 - 2 - 1)*(-3 + 4 + 2) to the form r + f*v and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 2*c - 7, -4*y + c + 3*c = -24. Suppose 1 + 24 = -y*b. Let x(l) = -12*l + 6. Let g be x(b). What is the highest common divisor of g and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(7) + sqrt(49)\/sqrt(7))**2 + (sqrt(28)\/(sqrt(12)\/sqrt(3)))**2.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-28))\/(70\/(-420)*(-9)\/12).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -7*m**3 + 10*m. Let a(z) = 8*z**3 - 11*z. Let s(d) = 2*a(d) + 3*x(d). Find the second derivative of s(u) wrt u.\nAnswer: -30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3))**(1\/6)*(w*w**(-1\/10))\/((w\/(w\/(w\/w**9)*w))\/w*w*w*w) assuming w is positive.\nAnswer: w**(37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 10:36 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 6*f + 34. Let s be c(-9). Suppose 12*l - 262 + 10 = 0. Calculate the highest common divisor of l and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-54885\nAnswer: -54885.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 288 and 7405992?\nAnswer: 29623968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 32 = 37 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 82*g + 2. Let t(c) = -6*c**2 + 11*c - 11. Let u(p) = p**2 - 2*p + 2. Let w(r) = -2*t(r) - 11*u(r). Give x(w(l)).\nAnswer: 82*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 192.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of i**4\/24 + 13*i**3\/6 - 4*i**2. Let l = 3 - 10. Does 6 divide d(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/4*4\/(-10). Let h(j) = j**2 + 3*j - 6. Let i be h(-6). Let m be (-3 - (-28)\/(-16)) + 9\/i. Put -11, m, y in ascending order.\nAnswer: -11, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 + -0.7. Let p = -20729 + 20727.88. Which is bigger: j or p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 7796*s**2 - 2*s - 1. Let l(w) = 122*w**2. Give b(l(x)).\nAnswer: 116035664*x**4 - 244*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 685, 1373, 2065, 2761, 3461?\n\"Answer: 2*v**2 + 682*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -56*((-18)\/14 + 1). Suppose 5*v - 24 = g. Suppose -v*l = -5*l. Solve t + 6 = f, f + 3*t = -l*f - 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/15 (b) -0.5 (c) -6\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(((-5187)\/(-26))\/(-19)))\/(456\/(-28)).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(1\/11))**(-1\/18) assuming w is positive.\nAnswer: w**(-5\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.9 (b) 0.927 (c) 4 (d) -3 (e) -4 (f) -1\/2 (g) 1\/2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h**2 + 0*h**2 + 4*h**2)*(-62*h**2 - 19*h**2 - 25*h**2 + 2*h).\nAnswer: -1060*h**4 + 20*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivwwrnrerrrwi. What is prob of picking 1 i and 1 e?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14304212 - -114?\nAnswer: 14304331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -600021.89119 + 0.075\nAnswer: -600021.81619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138 and 1484696.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15643 - 15642.7. Let u = 157\/3 + -53. Let c = -4\/3 - u. What is the smallest value in 4, c, l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151774 is divided by 915.\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 4 + (-3219)\/629. What is the closest to 0 in 0.3, 0.18, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 58 = 7*y - 2*y, 4*z = 16. Let u = -4 - 4. Let n = u + y. Solve -a = 2*k + 7, n*k - a = -3*a - 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.952 - 0.048. Which is the biggest value? (a) s (b) 2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3836 + 15?\nAnswer: 384b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -516 = 7*b - 4562. Let h = b + -567. Is -21 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 k when two letters picked without replacement from skwssyy.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f + 2. Let c be q(2). Let u be 307\/(-2)*c\/(-14). Let i = u + 44. Put 4, i, -0.1 in decreasing order.\nAnswer: 4, i, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 5)*(30\/(-5) + (-16 - -15)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2012639.\nAnswer: 2012639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x**3 + 4*x**3 - 9*x**3 + 7*x**3 - 10*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 8*w**3 + 5*w**2 + 3*w - 3. Let q(n) = n**3 + n**2 - 1. Calculate -5*q(z) + v(z).\nAnswer: 3*z**3 + 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1778213700 to the nearest 1000000.\nAnswer: 1778000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 793601 - 684725. Suppose 0 = -6*r + 6520837 + j. What is r rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 120 + -603\/5. Let i = 14\/15 + s. Which is the nearest to 12? (a) i (b) -3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1204 + 1212. What is the greatest common divisor of 106 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 519812 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -5862 greater than or equal to -5867?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5415 (base 6) to base 3.\nAnswer: 1200202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -21*k + 6. Let r be d(-24). Suppose -2*s - 575 = -153. Let t = r + s. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 53 + 87 - 105 - 15*x**2 - 3*x**2.\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f - 15*f + 897. Calculate the remainder when 271 is divided by f.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -388104 (b) 0.5 (c) -0.1 (d) 0.3 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+-0.276102324124\nAnswer: -0.576102324124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 473*x**2 - 24*x + 10 wrt x.\nAnswer: 946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69 - 209\/3. Let g = -0.0612 + -0.0288. Put 0.1, k, g in descending order.\nAnswer: 0.1, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -58, -178, -406, -778, -1330?\nAnswer: -2098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 5*v = 2 - 0, 4*j + 7*v - 7702 + 7701 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1061021 = -4*p - 1061289 for p.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 436\/2943*3*7\/(112\/72)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012918 take away -242?\nAnswer: 242.012918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 39632 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-65) + 3\/(-39).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(84) - sqrt(84))*6)\/((sqrt(1200) + sqrt(12))*-1).\nAnswer: 36*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*b = -18*b + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15025 + 21704. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**2\/5 - 12*u\/5 = 0 for u.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76 + -75 + 1 + -8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 205, 327, 663, 1321, 2409?\nAnswer: 4035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 27 - 38 + 2*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6559 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -355363 - -113?\nAnswer: -355250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t. Let x(p) = -p**2 - 5*p - 4. Let q be x(-4). Let a(z) be the third derivative of q + 18*z**2 + 1\/8*z**4 + 0*z**3 + 0*z. Give -3*a(n) + 6*i(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -454*v**3*x - 6*v*x + 2*v + 395*x - 14 wrt v.\nAnswer: -1362*v**2*x - 6*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 0*z + 0*z)*((-z + z + z)*(4 - 3 - 3) - 1 + 1 + z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + -4)\/2 - -4. Let c be -1*(-6 + -4) - m. Suppose s - c = -3*s. Solve 5*y - 22 = -s for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 63807 * -4.\nAnswer: -255228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110 + 10?\nAnswer: 111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 222 divided by 39\nAnswer: 74\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 520164 is divided by 115?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 300\/(-200)*(-54)\/(-3)*12\/(-9)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2887, 5774, 8661, 11548?\n\"Answer: 2887*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 101? (a) 2\/11 (b) -3 (c) 4\/5 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -202 - -0.06?\nAnswer: -201.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 29. What is the hundreds digit of (-2)\/17 + u\/153*-14367?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/3*(-6)\/4. Suppose 0 = -g - 2*o - 3 - 4, 0 = -4*g + 5*o + 37. Let u(d) = g + 0 - 2*d + 0*d. Let p(l) = 3*l - 5. Determine f*u(r) + 3*p(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d*d**1\/d*d)))**(-19)\/((d\/d**(-1\/4))\/(d**(2\/7)*d)))\/((((d**(7\/3)\/d)\/d)\/d**(-2\/11))\/(((d*d**(-2\/3)\/d*d*d)\/d)\/d**(-1\/2))) assuming d is positive.\nAnswer: d**(-11595\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 571 by -456621.\nAnswer: -571\/456621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 - -9 - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6*x = -3*x + 35, 0 = -3*a + 3*x + 81. Is 23 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -7*d - 20 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*o**3 - o**3 + 5*o**3 + (5*o**2 - 3*o**2 - 4*o**2)*(2*o + 0 + 0) + (-2*o**2 - 4*o**2 + 4*o**2)*(25*o - 11*o - 17*o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = o + 16. Differentiate -3*z**3 - o*z**3 + 2*z**3 + z**3 - 7 wrt z.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {x: 4, u: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1904779, 1904853, 1904927?\nAnswer: 1905001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 4*h - 5*n, 2*n + 0 = 3*h + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1575663 is divided by 11847.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(78) + (sqrt(78) - (sqrt(78) - 1*-2*sqrt(78))))*-1)\/(sqrt(54)\/(sqrt(144)*-3)) + 0)**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 2, -5, 3398, 56 in descending order.\nAnswer: 3398, 56, 5, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -4\/5, 27, 6 in decreasing order.\nAnswer: 27, 6, -2\/5, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -30825 divided by 5?\nAnswer: -6165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -346*g + 42*g + 1216 = 0. Suppose 8*v - 27 = 5*v. Suppose -2*j - 3*l = -12, 3*j + 2 = -l + 6. Sort v, g, j in descending order.\nAnswer: v, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/23, 1, 5, -111, 4, -0.3, -2 in descending order.\nAnswer: 5, 4, 1, 4\/23, -0.3, -2, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*j = 370*j - 98*j - 5120 for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 12. Let i = 27 - 35. Let u be d(i). Solve 5*p + 40 = -5*g, -3*g - u*p - 24 = 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 2565228521.\nAnswer: 17956599647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -4, -0.95, 9?\nAnswer: -0.95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**2*q**2 + 7*o**2*q - 57*o**2 + 1214*o*q**2 + q**2 - 6*q wrt q.\nAnswer: 2*o**2 + 2428*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 7*v**2 + 7*v - 2. Let p be (3 - 0)*3 + -3. Let s be x(p). Let m be s\/(-22) - (-69)\/(-165). What is the second biggest value in m, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 12) to base 5\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-6) - 75\/(-270).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -20*f**5 - 14*f**4 - 36*f**3 - 34*f**2 - 10*f - 6. Let d(z) = 3*z**5 - z**2 - z + 1. Let w(s) = b(s) + 6*d(s). Solve w(r) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0114447327 rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*w - h - 45, 0 = -w - 4*h + 386 - 789 + 388 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 0*m + 0 + 1\/15*m**5 + 0*m**3 + 11\/2*m**4 - 293*m**2. Solve f(d) = 0.\nAnswer: -33, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3)\/(q\/(q**(8\/3)\/q)))\/(q\/(q**(-1\/8)*q*q))**41 assuming q is positive.\nAnswer: q**(805\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6855661*0.1\nAnswer: -685566.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 4:14 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 88728 = -2*o - 3*o, -3*u = 4*o - 66546. Is (-5)\/10 + u\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 63*f - 696. Give o(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 11*r**2 - 7*r + r**3 - 16*r**2 + 10*r**2 + 2. Give g(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00013058498512 rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 71593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -54*r - 24. Let k(y) = -53*y - 26. Let v(o) = -5*k(o) + 6*l(o). Differentiate v(c) wrt c.\nAnswer: -59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*o**2 + 73*o - 198*o**3 - 89*o**2 + 43*o**2.\nAnswer: -198*o**3 + 73*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -5. Suppose -3*u - 45 = 2*u. Let h = u + 14. Sort 0, h, l.\nAnswer: l, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 42*u**3 + 9*u**2 + 17*u + 19. Is z(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(3\/(-3)) + 0. Suppose 4*l - 208 = 5*f, n*f + 3*l = f + 46. Let h = f + 58. Calculate the remainder when 52 is divided by h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/14 + ((-330)\/(-35) - 10).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 258943?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of p**3\/3 - 6*p. Let w(k) = -7*k**2 + 5*k**2 + 3*k**2. What is w(r(i))?\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 5*h**2 + 111960*h + 626752080 = 0.\nAnswer: -11196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3222 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*p + 34*p**3 - 14*p**3 - 18*p**3 + 9*p + 18*p**2.\nAnswer: 2*p*(p + 1)*(p + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.44 * -0.3\nAnswer: 0.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-15)*-4*(-6)\/(-12)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) -0.5 (c) -55 (d) 1\/2 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 13, -1, 1, -723 in descending order.\nAnswer: 13, 3, 1, -1, -723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*s - 70. Suppose -16 = q + s. Is 4\/10 + (-828)\/q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 34*w**2 - 25*w + 49. What are the prime factors of h(33)?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208503*r**3 + 55310*r**3 - 236255*r**3.\nAnswer: -389448*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + m - 4*m)*(-m + 2*m - 2*m) + 6*m**2 - 11*m + 11*m + 2*m**2 - m**2 + m**2 + (m - m - 2*m)*(2*m - m - 3*m) + 63 - 63 - 22*m**2.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -23611006 (base 7) in base 13?\nAnswer: -588664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -10029*s - 200587. Calculate a(-20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22.307 - 22.2. Let t = g - 50.107. Let y = 52.3 + t. Round y to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 3. Suppose -4*g - g = -15. Suppose -g*c + 12 = 3. What are the prime factors of i(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 - 116*k + 940. Determine s(48).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1262833?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.03, 8, 26, 0.4, -0.02, 0.18, 0.56?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3826*n**4 - 3295.\nAnswer: 15304*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 13, a: 3}. What is prob of sequence bbb?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 525\/375*(-60)\/(-35).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -104015.9783 to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10587639973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4103209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -49, 0, 7, -1 in increasing order.\nAnswer: -49, -1, 0, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 3*w - 3. Let z(i) = 6*i**2 - 80*i - 7. What is 2*a(g) - z(g)?\nAnswer: -4*g**2 + 86*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.528 - 0.028. What is the closest to -2 in g, -0.2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/((-20)\/(-298)) - (18 + (-2366)\/130). Let j be 2 + -1 + 2*7. What is the greatest common divisor of b and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 845906, 845904, 845902, 845900, 845898?\n\"Answer: -2*x + 845908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -15 + -1 + 14 + 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6379990336 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: Calculate the common denominator of -93\/44539378 and -67\/4.\nAnswer: 89078756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (0 + sqrt(112)*1 + sqrt(112))**2 + (0 + sqrt(112))*-4 + -4)*2.\nAnswer: -32*sqrt(7) + 894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -0.48, -21, -3\/14530, -0.4?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v - 25 = -15 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.3 + -4. Let h = -82\/15 + 14\/3. Which is the third biggest value? (a) h (b) -2\/3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 - 1 - (-60 - -52)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppboppoo. What is prob of sequence pbp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, g: 2, z: 1, h: 1}. Give prob of picking 1 h, 1 k, and 1 z.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 3576.467 nanograms?\nAnswer: 0.000000000003576467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 792452 divided by -10427\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 - 3072*o - 32768.\nAnswer: 4*(o - 32)*(o + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -202.27 to the nearest integer.\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4 - 10833*t**3 + 43368*t**2 - 43380*t.\nAnswer: -3*t*(t - 2)**2*(t + 3615)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u. Let z(h) = -5. Let d(k) = 2*c(k) - z(k). What is d(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 2*a**2 - 17. Determine z(4).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, p: 3, f: 4, x: 2}. Give prob of picking 1 f, 1 p, and 2 e.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4100 = 5*t + 5*s, 5*s = 5*t - 6938 + 2798. Suppose 1576 = 3*r - t. Round r to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**5\/3 + 1762*m**4\/3 - 388960*m**3\/3 + 387200*m**2\/3 = 0.\nAnswer: 0, 1, 440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -232313233223 (base 4) to base 12\nAnswer: -414660b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 10*k**2 - 16*k + 5. Let l be n(-7). What is the common denominator of ((-82)\/l + -3)\/(6\/(-285)) and -41\/21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuguuuuull. Give prob of picking 1 l and 1 g.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 2. Calculate m(-27).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v. Let i(c) be the third derivative of 0 + 6*c**2 + 0*c**3 + 0*c - 1\/24*c**4. Calculate i(m(r)).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83432 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbifiijihbbbibb. What is prob of sequence ji?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 14*v = 3*v. Let w(f) = f + 2. Let j be w(v). Let n(q) = 3*q**2 - 7*q + 5. Give n(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2176 + 2182. Solve -3*c = u*c + 45 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16390*x**2 + 11*x + 32777*x**2 - 16384*x**2.\nAnswer: 3*x**2 + 11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of t**4\/6 - 29*t**3\/6 - 4*t**2 - 140*t. Give u(15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -4 (c) -2\/2119\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 654 and 937752.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 8 = p + p, 0 = 3*q + 900*p - 831*p + 12 - 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/10)\/((-6)\/(-15)). Let i be k + -1*(-5 + 3). Solve -4 = -2*d - i*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4, -18, -38, -64, -96?\n\"Answer: -3*m**2 - 5*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 6. Let u be d + -2 - 21\/7. Suppose -23*j + 20 = -3. Put u, -1, j in descending order.\nAnswer: j, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -5*n + 4*n + 6 + 0 + n**2 - 4*n. Let p be u(4). Solve p*q = -q - 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.413 + 1.413. Which is the nearest to -2\/5? (a) o (b) -10\/9 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 10*l + 40. Let i be f(9). Suppose i = 4*s + 130. Which is the nearest to s? (a) -2\/11 (b) -4\/5 (c) -14\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*w + 3. Suppose -w = g + 9. Let d = 29 + g. Calculate the remainder when 24 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 23, 62, 137, 260, 443?\nAnswer: 698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4}. What is prob of picking 2 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.087428 rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 2\/731, 3\/38 in descending order.\nAnswer: 4, 3\/38, 2\/731, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1706 is divided by 93.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -13. Let i(l) = -4*l - l**2 + 8 - 6 - g*l. Determine i(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**2 + 33 + j**2 + 14 - 5 + 3*j - 3*j**2 in the form x*j + i + a*j**2 and give i.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 24204, -8\/131 in ascending order.\nAnswer: -1, -8\/131, 24204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 575*n + 4*n**3 - 1127*n + 572*n.\nAnswer: 4*n**3 + 20*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5*315\/(-60)*(-11)\/33\nAnswer: -35\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13520 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 - 7. Let m be a(-3). Calculate the highest common divisor of m and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 7*w**2 + 9*w - 10. Is c(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, f: 13, v: 3, s: 1}. What is prob of picking 1 f and 1 v?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**3 - 4*n**2 + 6*n + 6. What is the tens digit of u(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a6bb (base 12) to base 16.\nAnswer: e96f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/18 and (-1)\/(-18) + 24138\/(-58320).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.093 - -3.093. Which is the closest to 0? (a) f (b) 2\/11 (c) 150\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 + 748*g**2 - 81152*g + 1111040.\nAnswer: -(g - 620)*(g - 112)*(g - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -89 - -183\/2. Let m = -29.2 + 29. Which is the second biggest value? (a) -4 (b) x (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 + 5 - -5*1. Suppose a = -s*b + 864, 0 = -2*b - 5*a + 549 - 135. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 34\/5 of a milligram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6556 and 21472?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 496.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 9611.1892?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 7:09 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d + 0*d + 2*d + 7*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2\/23, 1\/4, 6, -3.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 + 11*s + 7. Let b be k(-5). Suppose 5 = r + 3. Suppose 3*t - r*w = 36, b*w = 4*t - 2*w - 52. What is the lowest common multiple of t and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**3 - m**2 + m + 371. Calculate v(0).\nAnswer: 371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 16630*t**2 - 16630*t**2 - 2*t + 550*t**3 as f*t**3 + u*t + s + d*t**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 5*w + 48780 = 20*w. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -89*v + 596. Give m(5).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, h: 1, j: 2, q: 1, a: 9}. Give prob of picking 2 j.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -672*p + 78. Let f(u) = 223*u - 28. What is -11*f(r) - 4*v(r)?\nAnswer: 235*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 32470*w - 765. Let v(x) = -170*x + 4. Let k(c) = -4*r(c) - 765*v(c). Let n(q) be the second derivative of -q**4\/12 + 485*q. Give n(k(u)).\nAnswer: -28900*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 5 = -u. Let f = 12 - u. Suppose f = 6*p - 3*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -12*z**2. Let q(n) = 4*n**2. What is -3*i(d) - 8*q(d)?\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3322 < -3307?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 79786867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 5, h: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/10)\/((-1)\/(-1410)). List the prime factors of (-6)\/(-10) + o\/(-60).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -251, -525, -783, -1025, -1251, -1461?\n\"Answer: 8*g**2 - 298*g + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*f + 80 = -25*f + 6*i, 4*f - 72 = -4*i for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*j = 18, -3*f - 18 + 5 = -4*j. Let t(g) = g**2 + 6*g - 4. Let k be t(f). Find the third derivative of 2*w**3 + w**2 + k*w - 3*w wrt w.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7472 + 7475. Let o(x) be the second derivative of -10*x + 0*x**2 + 0 + 0*x**r + 3\/20*x**5 + 1\/4*x**4. What is j in o(j) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 - 5. Let u(y) = 4*y**2 - 1. Let h(b) = -9*b**2 + 3. Suppose i - 15 = -4*i. Let p(w) = i*h(w) + 7*u(w). Calculate -4*g(f) - 10*p(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3553037, -3553027, -3553015, -3553001?\n\"Answer: q**2 + 7*q - 3553045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11261 is divided by 20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 76 = 40. Does 29 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -0.72691.\nAnswer: 5.08837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -636 = -20*j + 16*j. Does 38 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 + 9*x**3 - 15*x**3 + 11*x**3 + 12*x**3 - 37*x**3 + 13*x**3 + 8*x**3.\nAnswer: x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 4*u + 2. Let q be w(-3). Let y be (-350)\/(-260) - 4\/(-26). Which is the second smallest value? (a) 3 (b) q (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 582.8 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (585 - 585 + 7*v + 3*v + 0 + 0 + (3 - 1 + 0)*(v - 1 + 1))*((-2*v**2 + 2*v**2 - 3*v**3)*(2 + 3 - 7) - 3*v**2 + 3*v**2 - 3*v**3).\nAnswer: 36*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*c**2 + 32*c**2 - 96*c**2 + 35*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.19 * 116\nAnswer: 22.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 6. Suppose -4*p - 21 + 9 = 2*m, -16 = 4*p + m. Put f, 2, p, -1 in ascending order.\nAnswer: p, -1, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 562.73 + -340.789. What is h rounded to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*u**2 + 3694265*u - 87267334 wrt u.\nAnswer: 10*u + 3694265","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -24351792.8 to the nearest one million.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**4 + 3*t**4 - 4*t**4 + 2*t**3 + 3*t**4 - 3*t as o*t**3 + w + h*t + j*t**4 + s*t**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffjjyyfccyhji. What is prob of sequence jy?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 7615*s**2\/2 + 15229*s\/2 - 1 = 0.\nAnswer: -2, 1\/7615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -15*v + 76. Give d(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 406*u**3 - 408*u**3 - 22 - 7*u + 0 to the form i*u + l*u**2 + h + f*u**3 and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.598 - 2.7. What is f rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (21\/28)\/((-18)\/(-16)). What is the third biggest value in -2, i, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (6 - (-3 - -7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110100 - 1110001101100010000?\nAnswer: -1110001100110011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40\/11 + 164\/33. Suppose 8 = -2*g - 4*y, -y - 5 = -5*g - 3. Put h, -2\/9, g in decreasing order.\nAnswer: h, g, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = -5*b + 10*b - 4*i, 0 = 5*i + 5. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uus when three letters picked without replacement from {u: 4, s: 2, r: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1121.\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 + 79*c + 45. Let k be y(40). What is the fourth biggest value in 0, 0.033, -1\/5, k, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.782747s to milliseconds.\nAnswer: 2782.747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 2*o**3\/3 - 7*o**2\/2 - 2*o + 2. Let u(s) = s**3 + 7*s**2 - 2*s - 7. Let a be u(-7). Is x(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/((-10)\/5))\/(-62*60\/(-72540)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -380117\/11 or -34557?\nAnswer: -34557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63566 and 12.\nAnswer: 381396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14413 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 11*b + 67. Let d be (-92)\/40*2 + 3\/5. Calculate m(d).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(18)\/(sqrt(2)*3))\/((sqrt(45)\/(sqrt(5)*3))\/sqrt(3)).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12479, -24934, -37375, -49802?\n\"Answer: 7*v**2 - 12476*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 8:05 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5883 + -5838. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8873?\nAnswer: 19, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 818.4?\nAnswer: 819.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffrbo. Give prob of sequence fb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23539410.\nAnswer: 2, 3, 5, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -212 - 883. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4*b + 5. Let i be a(0). Suppose 5*c + i*t = 600, -4*c + 7*c + t = 366. Calculate the highest common factor of 41 and c.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 188108, 190516, 192924, 195332, 197740?\n\"Answer: 2408*f + 185700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 12, f: 5, i: 2}. Give prob of picking 1 f, 2 n, and 1 i.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 3:16 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -7*v**2 + v + 4. Let l(y) = 4*y**2 - 2. What is -5*l(t) - 3*z(t)?\nAnswer: t**2 - 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 32*o = -2274, 3*o = 5*w + 2*o - 38 + 99 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*d - 21. Let i = 57 + d. Suppose k - i = -2*k. What is the highest common factor of k and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 643 + -338. What are the prime factors of k?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4))\/((20\/8)\/(-5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15054746063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10320313 (base 4) to base 12\nAnswer: -b707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 295 + (15 - (-8)\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -5*h**3 + h + 1. Let a(u) = u**3 + 5*u**2 + 5*u + 3. Let q be a(-4). Let y be t(q). Solve 5*k - y*n = 2*k + 32, -2*k + 28 = -5*n for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -14*f**2 - 15*f - 17. Let k(u) = -5*u**2 - 5*u - 6. Let c(p) = 4*g(p) - 11*k(p). Let d(v) = 5*v - 19. Let o = 0 - -3. Let m be d(o). What is c(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.92 + 11.82. Let g = -0.1 + -0.1. What is the third biggest value in g, d, 0.2, 0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11)\/(3 - -8)*-1*19. What is the remainder when -4 - 1 - (9 - o - 28) is divided by 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 485*n + 504*n - 28)*(n**4 - n**2 + n**2).\nAnswer: 19*n**5 - 22*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -552*v. Let a(p) = 38 + 40 + 2*p + 41 - 119. What is o(a(m))?\nAnswer: -1104*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-25)*-25*(-10)\/(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-10) - 1535\/(-25). Solve 26 = -7*u + x for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.4 - 1.7. Let l = x - -2.1. Let n = -11.6 - l. What is the second biggest value in n, 0.2, 3\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-6)\/(-8)))\/((-216)\/162)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 74 (b) -67\/187 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 1 + (sqrt(17) - sqrt(612)) + (sqrt(2057) - (-2 + sqrt(2057))))**2 - ((sqrt(1275) + (sqrt(1275)*-2 - sqrt(1275)))\/sqrt(3)*-1)**2.\nAnswer: -1419 - 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**9*r)\/(r*r*r**6\/r*r))\/(r**0*r*r\/r**8) assuming r is positive.\nAnswer: r**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20172141 or -20172145?\nAnswer: -20172141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-137)\/(-2))\/((-16)\/(-96)). Suppose -337 = -4*f + h. Let s = f + -88. What is the highest common divisor of 9 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3190\/22*6\/15)\/((-38)\/(513\/27)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p**2 - 209*p - 344. What is the hundreds digit of m(68)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2020 - -1?\nAnswer: 2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 196157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 45, 132, 267, 456, 705?\nAnswer: 1020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 3*h**5\/160 - 171*h**4\/16 + 29241*h**3\/16 + 181*h. Find q such that y(q) = 0.\nAnswer: 0, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160066 = -6267*j - 549 - 52463 for j.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.17 + 0.26. Let l = u + -1.09. Which is the nearest to 1? (a) 3\/2 (b) -5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -86.4 - -86.1. Let x = 0.1 - 0.1. What is the nearest to x in b, -8, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 195 (base 10) to base 9\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-3*(4*(sqrt(72)\/(sqrt(4) + sqrt(16)\/sqrt(4)) + sqrt(18)))\/(sqrt(54)\/(sqrt(90)\/(5*sqrt(10)))).\nAnswer: -108*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**4 - 88*i**3 - 1052*i**2 - 1848*i - 882 = 0?\nAnswer: -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 8*k**2. Let j be (-18)\/(-15)*(-17 - -22). Let h(t) = -6*t - 7. Let w(x) = 5*x + 6. Let p(s) = j*h(s) + 7*w(s). What is p(v(b))?\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 155*g**2 - 318*g - 1796. Let j(s) = 3*s**3 - 5*s**2 + 4*s - 4. What is the least common multiple of c(-153) and j(3)?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 871*w + 18699. What is d(-22)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p + 1 + 6 - 1. What are the prime factors of l(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d + d + d to u + l*d and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -29. Calculate the highest common factor of z and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 5 + 2*f + 6*f - f. Let n(w) = -w - 1. Suppose u - 1 = -2*u + 2*p, -5*u - 11 = 3*p. Let g(l) = u*b(l) - 5*n(l). Let x(y) = -y. What is g(x(z))?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3349 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 81 = 5*y - 2*y, 0 = 2*a + 4*y - 132. Suppose -29 = -r - 2*c - 0*c, -4*r + a = -3*c. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x - 15 = -11*x. Suppose -16 = 5*a + 4, -x*n = 5*a + 60. Let i = n + 31. What are the prime factors of i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k. Let y(b) = 1894*b. What is y(j(d))?\nAnswer: -1894*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(1\/3)*p)**(1\/20)*(p*p**(2\/7))\/p**(-1\/2) assuming p is positive.\nAnswer: p**(41\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2161044887?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0299 - 0.023. What is y rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 32*p**3\/7 - 9616*p**2\/7 + 61490*p\/7 - 14196 = 0. What is p?\nAnswer: 13\/4, 294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -71979 or -9860918\/137?\nAnswer: -71979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1516702441 to the nearest integer?\nAnswer: 1149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2160 = 101*x - 2059 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11902 and -0.5.\nAnswer: 11901.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 1015*m**2 + 178309*m - 1122. Determine g(-226).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 9*m + 59. Determine n(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*q + 64 = -44*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2469149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 11 = 2*m, -m - 3 = g - 5. Suppose 6*y - g*y - 4*s - 47 = 0, 5*s + 16 = -y. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -7*q. Let r(x) = 58*x + 57*x + 62*x + 62*x - 229*x. Give c(r(v)).\nAnswer: -70*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2371660.\nAnswer: 2, 5, 118583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kb when two letters picked without replacement from bhkhhjmmhhjhhm.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 272\/12 + (-6)\/9. Suppose 0 = -t - 4*p + w, t - 2*p - 3 + 5 = 0. Let q(i) = -i**2 + 7*i - 1. Let s be q(t). Solve s*r = 2 + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2. Let t be g(-2). Suppose -4*f - t*h = 0, -4*f - h + 2*h + 20 = 0. Let i = 76 - f. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1506, -3255, -5248, -7485, -9966, -12691?\nAnswer: -15660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o**2 + 10*o - 1. Is w(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 12*m - 25. Suppose -827*q = -830*q + 6. Let d be p(q). Solve -o + 0 = -d for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(((-2)\/6)\/(4 - 3)). Calculate the remainder when 28 is divided by (144\/(-4))\/d - (0 - 10).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1315747 not equal to 1315748?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28810 is divided by 1515?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 9*a**2 + 48*a + 23. What is c(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 + (-21 - (12 + -24)) + -17.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/(-49) + 43\/7. Suppose u*a + 66 = 7*a. Suppose -3*l + 3*q = -a, l + 2*q - 10 = -q. Calculate the remainder when 73 is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-10)\/(-130) + 56\/(-26) and -2 + ((-48)\/5)\/(-1).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/805 and -113\/148442?\nAnswer: 742210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -100956 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 0*k - 2*k**2 + 0*k. Let s(n) = 2*n. Let z(b) = 39*b. Let f(c) = -15*s(c) + z(c). Calculate l(f(j)).\nAnswer: -162*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -507*i - 3. Let m(k) = 2*k - 2. Determine 2*m(r) - y(r).\nAnswer: 511*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 15*j**2 + 2*j + 31. Let i be u(-15). Let x be 12\/((-3)\/i) + -5. Suppose 0 = 2*p - 10, 5*s - 5*p + 61 = s. Is x > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 129 (b) -1\/7 (c) 0.3 (d) -23 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -18, -20, -22, -24?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-6))\/((-20)\/450). Suppose 4*p - 2*c + 3*c = 1453, 5*c + l = 0. List the prime factors of p.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wg when two letters picked without replacement from {z: 2, w: 6, g: 4, e: 4, v: 1}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a year in months?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24196 + 51435. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -22. Suppose 4*r - g + 59 = 0, -2*g + 3 = -2*r - 19. Let z = b + r. Does 3 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1692 and 34416.\nAnswer: 1617552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 + -46. Solve 0 = 2*i + 6, -s*r - 4*i = -0*i + 24 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 - 417 = -10*f. Suppose -26*v = -f*v + 18. Calculate the remainder when (-9 + 10)\/((-1)\/(-143)) is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15530 + 15531. Let a be 52\/273*6\/4. What is the closest to a in i, -1, 6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of k**4\/3 + 5*k**3\/6 + 3*k**2 - k. Is d(-4) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 6:18 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-2*sqrt(7) + sqrt(7))*-6)**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 46192960 to the nearest 100000.\nAnswer: 46200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6241 by 2.\nAnswer: 6241\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 603 and 5553.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f - 2. Let v be j(-2). Let a(k) be the second derivative of -1\/6*k**v + k + 0*k**3 + 0 + 1\/2*k**2. What is the derivative of a(s) wrt s?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 20*j**2. Let v(c) = -11*c - 8. Let s(i) = -4*i - 3. Let l(p) = 8*s(p) - 3*v(p). Calculate y(l(h)).\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eekdddkzzedezzeek. What is prob of sequence dd?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 94*g - 104. What is the hundreds digit of c(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 2.9. Let n = 3 + 7. Let h = n - 5. What is the closest to g in h, -3\/2, 3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -0.02 (c) -1\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -387, -792, -1195, -1596, -1995, -2392?\nAnswer: -2787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2184*c - 6794 + 103735 + 34099 = 0 for c.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2645251777.\nAnswer: 7, 167, 2262833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 5*z = -0*k + 731289 - 731233, -4*k + 2*z = 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + sqrt(144)\/(sqrt(24)\/sqrt(4)))\/((sqrt(420)\/sqrt(7))\/sqrt(5)).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -489?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4830 divided by 6\nAnswer: -805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 281133060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - 3135?\nAnswer: -3142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 450.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86396978?\nAnswer: 2, 3529, 12241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 348 - -346. Let y = c + -65. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 180 = 8*p. Let b be (-2)\/p - 2\/(-12). Suppose j - 4*i - 135 = b, -658 = -5*j + 2*i + i. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - f - 20. What is the common denominator of ((-10)\/(-75))\/(1\/f) and 1 - ((-14880)\/1120 + 6\/(0 - -1))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2221 - 329 = 0. List the prime factors of j.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 9*r - 3. Let m be h(-3). Let t = -25 - m. Solve 5 = -4*z + 2*z + t*o, -7 = z - 4*o for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 10:28 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 10:21 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g - 3*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1103201 (base 10) to base 9\nAnswer: 2061268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + b = -2*a + 6, -2 = 3*a + 2*b. Let z be 6 + 6 - (a + 0). What is the units digit of -1*1 + z + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 250 + -355. Is 1\/(-5) - 285516\/u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 14 = -46*y + 201, 6*y + 8 = -4*t + 26 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((0 - 0) + 3)\/(3 - 2). Suppose -4*g = -2*k + 1038, 13 - i = 2*k. Let l = -129 - g. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94752524 to the nearest integer?\nAnswer: 9734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/3753 and -67\/1245996.\nAnswer: 1245996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 13.968. What is w rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155663446387 plus -2189?\nAnswer: 155663444198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 p when four letters picked without replacement from {f: 3, p: 7}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.5 + -6. Which is the third smallest value? (a) l (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2974069.2 and 6274.7?\nAnswer: 2980343.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -324*n - 2618. Determine x(-8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65033845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 o, 1 t, and 1 c when four letters picked without replacement from {c: 2, t: 4, y: 4, o: 2}?\nAnswer: 64\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9*((-5)\/3 + 2). Suppose 0 = -d*l - l + 2*x - 8, 4 = 3*l + x. Suppose -3*o = -l*o. Solve -4*a + 4 + 8 = o for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 2*c**3\/57 + 16*c**2\/19 + 30*c\/19 - 411. Factor k(y).\nAnswer: 2*(y + 1)*(y + 15)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -3*l + 19, 3*f - 1 = 4*l - 7. Find j, given that 4\/3*j + 0 - 2\/3*j**3 - 2\/3*j**f = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 1072 - 1089 = -4*n, -6*j + 4 = 2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nine tenths of a decade?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 107195 and 21439.\nAnswer: 107195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/5840 and 73\/432.\nAnswer: 157680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 4*m - 5. Suppose -2*d + 5 - 1 = 0. Let z(v) = v**2 - 3*v + 2. Let y be z(d). Suppose -3*w + 6 = 0, y*p - 3*p - 9 = 3*w. What is h(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**3 - 16*y**2 + 10 - 2*y**3 - 2*y**3 + 3*y**3 + 14*y. Let w be q(15). Let k(p) = -p**2 - 5*p + 3. Let t be k(w). Solve -r = -t*r - 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -8*j**5 - 10*j**4 + 5*j**3 + 7*j**2 - 4*j. Let k(q) = 34*q**5 + 41*q**4 - 21*q**3 - 29*q**2 + 17*q. Let c(w) = -2*k(w) - 9*l(w). Factor c(n).\nAnswer: n*(n + 1)*(n + 2)*(2*n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 32 + 186*l - 38 + 16 - 29*l. Calculate the remainder when z(1) is divided by 57.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15304, -60571, -135804, -241003, -376168, -541299?\n\"Answer: -14983*k**2 - 318*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) -0.2 (c) -0.1 (d) 4\/1701\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 25*v**2 + 19*v + 8. Let d(u) = -u**2 - 2*u - 2. What is -c(l) - 4*d(l)?\nAnswer: -21*l**2 - 11*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -162\/233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 - -39. Calculate the least common multiple of h and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10 - -494a5?\nAnswer: 494b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -58, -87, -80, -13?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 164909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 960 is divided by 126?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 74590786*z**2 + 37983133 wrt z?\nAnswer: 149181572*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 466668*z**2 - 4*z. Let b = 26 + -22. Let q be 4 + (0 - 4\/b). Let d be o(q). Round d to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.17? (a) 5 (b) -3 (c) 0.1 (d) 1\/13810 (e) -38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 1 = -6. Let p be (-3*19\/4)\/(137\/(-1644)). Suppose -f*h + p - 31 = 0. Solve h = -5*l + 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/12 - (-5 + (-17)\/(-3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 4*v + 7. Let f be w(3). Solve -6*i = -f*i + 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 457 = -160. What is the remainder when u is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 555*m - 558*m + 3*h, -2*h - 32 = 4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/4)\/((-48802)\/(-457988))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 6*m + 4. Let g be j(-6). Find the second derivative of -r**4 + 4*r**g + 4*r + 3*r**4 wrt r.\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x**3 - 3*x**2 + 10*x + 7. Let m(z) = 2*z**3 + 2*z**2 - 9*z - 6. Let u(l) = 6*g(l) + 7*m(l). Is 11 a factor of u(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -50\/3 (b) 7\/5 (c) -3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -4525*p**5\/2 - 80565*p**4\/4 - 236383*p**3\/4 - 220437*p**2\/4 + 23949*p\/4 + 27\/2 = 0?\nAnswer: -3, -2\/905, 1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -19*a**2 + 35*a + 7. What is w(4)?\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 1157\/384?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*y + 84*y + 3*y.\nAnswer: 33*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o - 1. Determine u(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 5, x: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-2 - -5 - 2). Suppose r + 4*r - 10 = p. Suppose 44 = r*x - 2. Solve 4*a - 9 = 4*o + x, 3*o + 21 = 2*a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6542*w = 6541*w + a - 5, 3*a - 19 = -w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3.33+-3.2\nAnswer: -6.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.3, -3, -17\/5, -0.4, 4 in increasing order.\nAnswer: -17\/5, -3, -0.4, -0.2, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(180)*2)\/((sqrt(9) - sqrt(45)\/sqrt(5))*6 - sqrt(576)).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, b: 10, a: 3, g: 2, t: 2, u: 1}. Give prob of sequence gbbt.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 2 - 0 - -7. Let o be 1441\/77 + (1 - 5\/h). Calculate the greatest common divisor of 152 and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**2 - g - 2 + 2*g**2 - 7*g**2 + g**2 - 183*g**3. Let l be v(-2). Suppose 0*o - l = -4*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213124113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2065 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, b: 3, r: 2, p: 9, l: 4}. Give prob of sequence plrp.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4137518 a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.1 and -0.01.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n**2 - 8*n**2 + 10*n**2.\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -58 - -171. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.09, -1, -0.4, -3\/4, 2\/17, 1\/27, -0.1?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 15*i**2 - 76*i + 665. What is the tens digit of p(38)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 141.2 + -141. Put 0, -1\/3, -2\/15, j in increasing order.\nAnswer: -1\/3, -2\/15, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 898953?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 49 = -139. Calculate the lowest common multiple of v and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4539691, -4539693, -4539695, -4539697, -4539699, -4539701?\n\"Answer: -2*a - 4539689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -323*f**3 - 3*f + 87*f**3 + 231*f**3 - 1 + 116*f**2 in the form u*f + t*f**3 + p + v*f**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3\/11)\/x)\/(x\/(x**(-1\/14)*x)*x))**18\/((x\/((x*x**(-7))\/x*x))\/(x*x**(-2)))**(-50) assuming x is positive.\nAnswer: x**(27551\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 448, 1790, 4026, 7156, 11180, 16098, 21910?\n\"Answer: 447*x**2 + x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 9:13 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -26.355 from -254.064.\nAnswer: -227.709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1106)\/(-7) - (-3)\/3. Find the third derivative of -273*w**3 + 6 - 3*w**2 + x*w**3 + 12*w**2 - w**2 wrt w.\nAnswer: -684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-184)\/(-920))\/((30\/2175)\/2).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1278219297.\nAnswer: 3, 149, 2859551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 6*z + 2. Let x = -44 - -41. Determine g(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 5*o**2 + 3*o + 5. Give g(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(425) + (sqrt(425) - (sqrt(425) + -3)**2) - (sqrt(833) + 2 + sqrt(833)).\nAnswer: -436 + 26*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/28 + -5\/28. Let b = 1.5 + -1.1. What is the nearest to v in -2\/13, 2, b?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.4 (b) -11\/24 (c) -97.5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 760923676 + 8.\nAnswer: 760923684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 10993174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2*v - v = -371, 0 = -5*v + 5. Let z = p + 155. What is the remainder when z is divided by 4 - (-174)\/24*4?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63\/((-17199)\/(-84)))\/(4\/286).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*v**2 - 70*v**2 + 4*v**2)*(2*v - 3*v - v).\nAnswer: 158*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 6*z**2 - 4*z. Let w(l) = -l**2 + l. Let j(r) = 3*q(r) + 12*w(r). Let k(o) = 3*o. Determine j(k(h)).\nAnswer: 54*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-111 - -55 - -65) + -28?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 976097304?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41649531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p = -20*p + 592. Suppose 0 = 81*y - p*y - 6531. What is the hundreds digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -557 + 563. Let d(x) = -x**2 - 3*x. Let h(v) = 1 + v - 1. Calculate s*h(u) + d(u).\nAnswer: -u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 10. Let x be w(-7). Suppose q = 4*z - z - 10, 0 = x*z - 2*q - 14. Find the third derivative of 3*d**2 - d**2 + 3*d**2 + 5*d**4 + 6*d**z wrt d.\nAnswer: 120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 401374 by -200687.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -84535 (base 10) in base 9?\nAnswer: -137857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a + 6*a + a + a. Let o(k) = -4*k**2. Give l(o(g)).\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -651 - -657. Factor 6*h**3 - 3*h**4 + 3\/5*h**5 - l*h**2 - 3\/5 + 3*h.\nAnswer: 3*(h - 1)**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2488 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.09, -1\/7, -2\/3 in ascending order.\nAnswer: -4, -2\/3, -1\/7, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/((-60)\/(-90))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54906.24 decades in millennia?\nAnswer: 549.0624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1\/4 (b) 2\/7 (c) 2\/9 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b - 21. Let z(n) = -21*n + 156. Let m be z(8). Determine d(m).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -26 - 240\/((-100)\/10). Sort 32, a, -94 in descending order.\nAnswer: 32, a, -94","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 17, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 3*r + 35 = 6, 3 = r. Find the common denominator of n + 516\/(-32) - -2 and -49\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(40) + sqrt(240)\/sqrt(6) - sqrt(40) - sqrt(40))\/sqrt(8))**2 + -4).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*d - v, -3*d + 3*v = -0*v - 6. Suppose 5*c - 9 + d = -2*y, -5*y + 1 = 3*c. Let p be (-9)\/45 + (-48)\/10. Sort 4, c, p in ascending order.\nAnswer: p, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -16. Suppose 3*y = -z + t*z - 29, 4*z - 4*y - 116 = 0. Is 22 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hpqbpvvh. What is prob of sequence bqvp?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - -1. Suppose 0 = 3*o - c, 3*a = a - 5*o + 8. Let t = 1 - a. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y**2. Let c(d) = -5*d**2 + 77*d - 4. What is c(q(g))?\nAnswer: -80*g**4 - 308*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 557629081*f*j**4 - 4976311*f*j**2 - 10*f*j wrt j?\nAnswer: 13383097944*f*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 864739420539\/48481248856 - -11\/235727304. Let j = t - 2\/617. Calculate the common denominator of j and -39\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3873 and 16.45?\nAnswer: -63710.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 5*y + 2992 + 3393, 0 = 3*o - 4*y + 3833. Let m = 17704 + o. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.7786439ng?\nAnswer: 0.0007786439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 7:17 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 27 = -11559*l + 11560*l, -2*p = -2*l + 50 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 627 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r + 1. Let h be y(1). Suppose b = -2*o - 4*b + 14, h*b = -o + 12. Suppose 5*s = -13 - 12. Sort 0, o, s in decreasing order.\nAnswer: o, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -1 + -28 + -83 + 89?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**3 - 61*s**2 + 69*s - 80. Let o(v) = -v**3 + 15*v**2 - 17*v + 20. Let j(d) = 2*i(d) + 9*o(d). What is the tens digit of j(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 10 = -2*z, 2*h + 0 + 4 = 4*z. What is the highest common factor of 102 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**2 + 24*g + 231. Let u(p) = -5*p**2 - 36*p - 347. Let h(t) = -8*f(t) - 5*u(t). Let b be h(-9). Calculate the greatest common factor of 76 and b.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00028731 to 5 dps.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 13015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/8 + ((-27)\/(-12) - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -421, 5 in decreasing order.\nAnswer: 10, 5, -421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*z + 59*z - 184*z + 60*z + 180 + 124.\nAnswer: -2*z + 304","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i*o**3 - 90*i*o**2 + 2*i + 14*o**6 - 2*o**3 wrt o.\nAnswer: 6*i + 1680*o**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (37 - (-24 + 55)) + (-1 - -3) + -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 144508 = -m + 1643627, -3*m - 2*t + 4497357 = 0. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(6\/7))\/(b\/b**(1\/4))*(b\/b**0)**(-11))**32 assuming b is positive.\nAnswer: b**(-2216\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1113135416?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 14\/5*y**5 - 145\/3*y**3 + 3\/2*y**4 + 0*y + 0*y**2 + 114. Find the third derivative of p(u) wrt u.\nAnswer: 336*u + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide ((-150)\/4)\/(111\/(-666))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -86408 and 320431.\nAnswer: 234023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-17 + -30 + 3)) + -3 + 15?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/21? (a) 1\/3 (b) 0.2 (c) -172\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*h = 137652 - 134682 for h.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 58610 less than 615412?\nAnswer: 556802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.6 + 3.4. What is the fourth biggest value in -0.2, k, -9, -0.4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 512\/969?\nAnswer: 512\/969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*i - 79. Suppose 2*r - 194 = y, r + 3*y - i = 8*y. Suppose -d - r = -4*d. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -6*t**2 - 92*t + 52. What is z(-16)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 3*q**2\/2 + 28*q - 24. Let r(o) = 7*o + 57. Let b(i) = 13*n(i) - 6*r(i). Differentiate b(a) wrt a.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 146971918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 157663 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -160 - -163. Let m be 0\/((2 - 0)\/(-2)). Solve -c - h = m, k - 3*c + 0 - 7 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10, -28, -46, -64, -82?\n\"Answer: -18*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223668*x**3 + 3 - 101295*x**3 - 3 - 122372*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (2 + (-90 - 1)). Let c(x) = 21*x**3 - x**2 + 4*x - 2. Let q be c(1). Calculate the highest common factor of q and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j**2 + 3*j**2 - 2*j**2)*(-704 - 826 - 608) + (j + 3*j - 3*j)*(-4 + j + 4) in the form b*j + h*j**2 + f and give h.\nAnswer: -2137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3505 or -3503?\nAnswer: -3503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/2 + 2 - 1. Suppose -6 + 2 = -4*y. Let v be 5 - 9 - r*y. Solve 3 = -v*x + 3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -54543.63\nAnswer: 21817.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(51)\/(sqrt(3) + sqrt(9)\/sqrt(3)) + -1 + 5).\nAnswer: -12 - 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3560 + 3564. Let i(l) = l**2 + 9*l - 5. Let t be i(-10). Solve t = f + p for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 8826.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/16 of a meter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213 = x + 2*i - 64, -527 = -2*x + 5*i. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -31 + 4\/3*m**3 + 0*m**2 + 0*m. Let f(p) = 35*p**2. What is f(r(n))?\nAnswer: 560*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -7\/2*v**2 + 0 + v - 1\/2*v**4 + 1\/20*v**5 + 4\/3*v**3. Determine y(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8185215 - 3552377957\/434. Let p = a + -1\/1302. What is the common denominator of -3\/11 and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*w - 8*w + 125 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 + -47. Suppose 3*v = -n*j + 35, -4*j + 55 = v - 0*v. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5089782 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -66938?\nAnswer: 66935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 29*h + 5 - h**2 - 25*h + 5*h**2. Let g = 15 - 17. What is the remainder when 38 is divided by d(g)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9435*r = -20076*r + 10108*r + 45305 for r.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 14*a**2 + 22*a + 14. Let c(i) = -2*i**2 - 3*i - 2. Calculate 44*c(x) + 6*h(x).\nAnswer: -4*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(0 + sqrt(272)) + -2)*-3)**2.\nAnswer: -432*sqrt(17) + 22068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -281*i. Let d(k) = 27*k**2 + 2*k. Determine t(d(h)).\nAnswer: -7587*h**2 - 562*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17\/5 in 2\/9, -6.2, 207?\nAnswer: -6.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7042 bigger than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 719598?\nAnswer: 2, 3, 11, 10903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (2 - 3*-3). Let r be 22\/o - (-4)\/(-24). Let w = 0 - r. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from jmsihhmiihhimhhhj?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(637) - (sqrt(637) + 0))*-4 - sqrt(637)) + 1)**2.\nAnswer: -56*sqrt(13) + 653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 + 3*x - 2. Let q be v(1). Let m = -1 + q. Suppose 62 = -m*u + 72. Solve 0 - 18 = -2*a - 5*t, 0 = -u*a - 5*t + 15 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w - 183. Let h(v) = 8*v**2. Determine h(p(b)).\nAnswer: 72*b**2 + 8784*b + 267912","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/11 (b) -2\/13 (c) 49 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 - 0.2. Let h = -2.05 + 0.05. Let f be 2\/4 - 1\/10. What is the closest to f in h, u, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -13, 23, 0 in increasing order.\nAnswer: -13, 0, 6, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, 187, 540, 1035, 1672, 2451, 3372?\nAnswer: 4435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (448\/128)\/(0 - (-2)\/8)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3004 greater than 3885?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from idiid. What is prob of picking 3 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -w + 3*w. Let f(a) = 0*a + w - a - 2. Let b(y) = 4*y + 4. Let v = 475 - 473. Determine v*b(h) + 6*f(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 47042117 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = u - 4*p, 4*u + 3*p - 11 = 3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -z**8\/840 + z**5\/60 - 3*z**4\/8 - 51*z**2. Let o(w) be the third derivative of h(w). Let f(u) = 2*u**2. Determine o(f(n)).\nAnswer: -96*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35.92 - 2.\nAnswer: 33.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t - 137. Determine r(25).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 3 - 1\/(-9)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -46211?\nAnswer: -46216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-16 - -28) + (3 - 2 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yykkkyykykyyyyyyyy.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 91134469370 plus -0.054?\nAnswer: 91134469369.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**5 - 128*v**4 + 1848*v**3 + 37044*v**2 - 1203930*v + 8557164 = 0.\nAnswer: -21, 21, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 6:17 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7502173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1916754799 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**3\/3 + 2*u**2\/3 + 32*u\/3 + 40\/3 = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**6\/48 - 25*z**4\/12 - 16*z. Let u(f) be the third derivative of y(f). Let k(t) = t. What is k(u(v))?\nAnswer: -15*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9431, -18741, -28059, -37391, -46743, -56121, -65531, -74979?\nAnswer: -84471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3822238 is divided by 88888?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 r when two letters picked without replacement from yrroooiyoozoro?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 7. Suppose 5*p + 66 = g*v + 225, -4*v + 140 = 4*p. Calculate the remainder when 10\/2*p\/55 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -35193*f**3 + 2*f - 1188896?\nAnswer: -105579*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yroksyyyoryr. Give prob of sequence yyrs.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.130362145 take away 15.36?\nAnswer: -39.490362145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*p - 2045 - 2364 + 6596 = -7623 for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**4*m**2 - 1473*i**2*m**2 - 3644*i*m**2 wrt i.\nAnswer: -24*i**2*m**2 - 2946*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 56*t**2 + 188*t + 16. What is the lowest common multiple of 1232 and u(-52)?\nAnswer: 7392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 78*x + 481*x + 165*x + x in the form n + u*x and give u.\nAnswer: 725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 268830799 to the power of 1\/3, to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 132239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 98156030*o**3*p**2*s + 3*o**3*s**2 - 2158*o**2*p**2 + 10*o**2*p*s**2 + 152*o*p**2*s**2 - 3*p*s**2 wrt o?\nAnswer: 588936180*p**2*s + 18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 7*z. Let x(m) = -31*m. Let f(l) = -15*l. Let a(u) = -13*f(u) + 6*x(u). Let d(r) = -4*a(r) + 5*j(r). Let v(g) = -91*g**2. What is d(v(s))?\nAnswer: 91*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 13 (b) -1.4 (c) -0.05 (d) 0.07 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*u - 325 - 50, -n + 379 = 2*u. Find the second derivative of -189 - 11*k + 9*k**5 + u wrt k.\nAnswer: 180*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 17 = -4*w. Let q = w + 5. Solve q = -3*u + 2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1449, -1326, -1203, -1080, -957?\nAnswer: -834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/73 or 0?\nAnswer: 7\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s. Suppose 2*b + 4*j - 1 = j, b = -3*j - 1. Let i(y) = 1 + 8*y + 0*y - b + 2. Determine 2*i(x) - 9*p(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/25 - 7528\/(-40)*1. Solve -133*i - 220 = -f*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -75*o - 2. Let x(j) = -305*j - 7. What is 9*h(p) - 2*x(p)?\nAnswer: -65*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 10:22 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2767.\nAnswer: 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - (0 + 0 + -4). Let j = r + -3. Suppose -j*f - 27 = -2. Put 2, 4, f in decreasing order.\nAnswer: 4, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 2*t**2 + 5*t + 6. Let i be r(-3). Let p = i + 16. Let k = -210 + 304. What is the remainder when k is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 23*i**2 + 6. List the prime factors of x(-2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - 2*a**3 - 2*a**2)*(-3 + 1 + 1) + 68*a**3 + 101*a**3 + 29*a**3 - 40*a**2 + 54*a**3 - 112*a**2.\nAnswer: 254*a**3 - 152*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**3 + 2*h**3 + h**2 - 9*h**4 wrt h.\nAnswer: -216*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2)\/w**(-1\/4))\/(w**(-9)*w*w**(-10)) assuming w is positive.\nAnswer: w**(65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 771*u - 776*u = -4*g - 74, u = g + 18 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 11*a**3 - 5*a**2 - 3*a - 3. Let z(f) = 10*f**3 - 4*f**2 - 2*f - 2. Let u(q) = 2*o(q) - 3*z(q). What is the third derivative of u(l) wrt l?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1729 - 1235. Let n = -174 + g. What is the highest common divisor of 48 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -2*b**3\/3 + 5*b - 1164. Let u(o) = 0*o**2 + o**2 - 6*o**2. Calculate u(c(a)).\nAnswer: -80*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 - -39. Suppose 0 = -2*c + 4*c + i. Sort 2.3, c, 3\/5 in increasing order.\nAnswer: c, 3\/5, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11100 + -22110212021020?\nAnswer: -22110212002220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 12:18 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(1*-1)*22\/(-22)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 - (5 - (1 - 0)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dk when two letters picked without replacement from {k: 2, d: 9}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -286*q - 159. What is the thousands digit of p(-17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m = -8 + 99 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -9552 smaller than -9475?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3457.\nAnswer: 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -80890 less than or equal to -80878?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 15*k - 118. Let r be w(8). Let i = 0.38 - 0.08. Which is the closest to r? (a) 3\/2 (b) i (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154859 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85005777 to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9908 + -9862. What is the remainder when 1138 is divided by t?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 636642.\nAnswer: 636642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 58\/3?\nAnswer: 58\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/2*(-120)\/(-2). Suppose -3*h + 114 - g = 0. What is the greatest common divisor of h and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 682\/8 + (-3)\/(-4). Suppose -i = d - 93. What is the lowest common multiple of 4 and i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 2840376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2999.8 times -2\nAnswer: 5999.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 a, and 1 m when three letters picked without replacement from {a: 2, j: 1, m: 1, e: 2, q: 4, x: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z**2 - 5*z - 1. Let s(n) = n**2 - 2*n. Let k(u) = 2*s(u) - y(u). Let r(a) = 13*a**3 + 52*a**2 - 52*a - 52. Determine -52*k(c) - r(c).\nAnswer: -13*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 86098*p - 7*p**2 - 86094*p - 6*p**2 - 5*p**2 + 4*p**2. Let x(v) = 10*v**2. Determine h(x(r)).\nAnswer: -1400*r**4 + 40*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10486054, -20972108, -31458162, -41944216, -52430270?\nAnswer: -62916324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*l + 12 = 5*q, -l - 6 = -2*q. What is the second derivative of 7*w**2 + q - 2 + 9*w + 5*w wrt w?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s - 2. Let p be z(-4). Let c(g) = -p*g + 3*g + 3*g + 1. Let n be (-6)\/8 + 10\/(-40). Calculate c(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -93, -74, -55, -36, -17?\n\"Answer: 19*b - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*c = -892, h + 0*c + 5*c - 284 = 0. Let k = -182 + h. Let w = 1 - -15. What is the greatest common divisor of w and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - q + 10. Calculate s(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -0.09, -0.3 in decreasing order.\nAnswer: -0.09, -0.3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 8*l - 22. Is n(16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-7)\/(-21))\/((-1)\/(-9)). Suppose -2*u + 53 = o*d, 0*d = -d - 4*u + 31. Let s = 35 - 31. Solve 30 = 5*x + t, 3*x - s*t + d = 2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.04 + -0.2. Let x = 0.2 - 0.26. Let n = x - m. Are -1 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by (-1 - 3\/1) + 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123.6634 + 4.605\nAnswer: -119.0584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7452 - 6633. Calculate the greatest common divisor of 84 and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9516*l**2 - 334*l - 7?\nAnswer: 19032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 325 - 267. Let l = i - 52. Calculate the least common multiple of l and 404.\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 0 + 2 + sqrt(76) - -5*(((sqrt(76) - (sqrt(76) - 3*sqrt(76))**2) + sqrt(76) - sqrt(76)) + 3).\nAnswer: -1508 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g**3 + 2*g**3 - 3*g**3)*(12 - 12*g - 12 + (-6 + 3 + 2)*(-4*g + g + 5*g)).\nAnswer: -70*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 490?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168*k**3 - 2*k**2 + 233 - 84*k - 233 + 83*k.\nAnswer: 168*k**3 - 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(28\/(-20) + 1). Let r(d) = -9*d**2 + 3*d + 5. Let t be (-2)\/6 - 20\/(-6). Let p(w) = 5*w**2 - 2*w - 3. Give c*p(o) + t*r(o).\nAnswer: -2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 16*y + 4*y)*(2 - 1 - 5).\nAnswer: 56*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sisihsrrhrrrr. What is prob of sequence sshr?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -2. Let t be (-18)\/(-40) - x\/5. Factor -1\/4*k + 1\/4*k**3 - t + 1\/4*k**2.\nAnswer: (k - 1)*(k + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*q + 9*q - 13*q.\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*(s**(-2)*s)\/s*s**(1\/79) assuming s is positive.\nAnswer: s**(-78\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3726434 is divided by 172?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 29402 = -3*b + 29432, -4*b = 3*u - 32 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 506*s**5 + 7755*s**3 - 18094261*s wrt s.\nAnswer: 10120*s**3 + 46530*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148980*n + 140 = -148973*n for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 3 - 3)*(q - q - q + (3 - 3 + 2)*(0 - q + 0) + q - q - q) + 0*q**2 - 5*q**2 + q**2.\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-9) - 1\/3. Let h = 1 - w. Suppose 0 = 3*v + h*v - 5, 3 = c + 2*v. What is the least common multiple of c and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86\/29 + -85\/58. Sort n, -59, -2 in decreasing order.\nAnswer: n, -2, -59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1448 divided by 6\nAnswer: -724\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6731742 and 6572.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hcn when three letters picked without replacement from cccnckkcckchcc?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14176 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(-3\/7)*j**(-10)*((j*j**(-1))\/j)**(-6\/17) assuming j is positive.\nAnswer: j**(-978\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -11*r**2 + 5*r - 5. Suppose -4*i = -2*k, -2*k = i + 6 + 4. Let s(m) = 5*m**2 - 2*m + 2. What is i*y(u) - 5*s(u)?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 19759.5?\nAnswer: 19763.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38\/(1 + 0) + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/9 + 56*q\/9 + 53\/3.\nAnswer: (q + 3)*(q + 53)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s - 4*s - s + 11*s.\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 147, 266, 369, 450, 503, 522, 501?\n\"Answer: -p**3 - 2*p**2 + 132*p + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 296 divided by 673\nAnswer: 296\/673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-18 - (1 - -1)) + -7600 + 7595?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 16241201.\nAnswer: -64964804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8765 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 22*b**2 + 4*b + 3. Let g be r(-1). Let o = 23 - g. Let a be o\/((8\/283)\/(-4)). What is a rounded to the nearest 10?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4545, 4585, 4709, 4965, 5401, 6065, 7005?\nAnswer: 8269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xrrplpxxcllxrrprplpp. What is prob of sequence rp?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 + (-76960)\/12831)\/((-6)\/(-28)). Let f be (-1)\/(-5) - (-30388)\/(-12690). Let q = f + m. What is the common denominator of q and -61\/15?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 26, -12301, -24628, -36955?\n\"Answer: -12327*h + 12353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 12:31 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.292045 decades?\nAnswer: 0.00292045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 - 2076*t**2 - 270396*t - 268324.\nAnswer: -4*(t + 1)*(t + 259)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmoomoommoooooomm. What is prob of sequence mmmm?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 + 308*q.\nAnswer: -4*q*(q - 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1377?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**6\/(o\/(o*o**(6\/13)))*(o\/o**(2\/25)*o)\/o*o*o\/o**4*o*o assuming o is positive.\nAnswer: o**(2399\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2, -2, 76, 9 in decreasing order.\nAnswer: 76, 9, 2, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s**3 + 2*s - 1. Give x(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55 + -53. Let k(p) = 13*p**3 - 17*p**2 + 13*p. Let i(z) = -z - 1. Let g(v) = 3*v**3 - 4*v**2 - 3. Let t(u) = -g(u) + 3*i(u). Determine f*k(w) + 9*t(w).\nAnswer: -w**3 + 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 9*i - 6. Let c be q(-4). Suppose 3*b - 7 = c. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, -4, -9, 5, -3.\nAnswer: -9, -4, -3, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 83 - 3. What is the remainder when h is divided by (42\/12)\/((-2)\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a factor of 13328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.76 - 0.24. Let h = -0.3 - -0.2. Let b = -82 - -82.5. What is the closest to h in w, -2\/11, b?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 323 divide 5874401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -5*y**4 - 290*y**3 - 280*y**2 + 290*y + 285 = 0.\nAnswer: -57, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*k - 31*k - 56*k)*(-2 - 2 + 2) + (2 + 0 - 1)*(-2*k + 1 - 1).\nAnswer: 210*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*m + 15 = -28*m. Let u be m - 1*(-6 - -4). Suppose -4*c + 2*t + 208 = 0, -u*c - 2*t = 68 - 337. What are the prime factors of c?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -3*o, 2*o - 5*y = -2*y - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.289 + 1.289. Suppose 0 = 4*z + 3*d - 6*d + 10, -3*d = -6. Let f be 1\/(11*z\/2). What is the closest to x in 0.1, 2, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, 0, -6\/17, 4 in descending order.\nAnswer: 4, 0, -0.01, -6\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1936562234 + 14*y - 1936562234.\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/2291099 and -36\/15650465.\nAnswer: 1111183015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -3, 83, 185?\nAnswer: 303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**6 - 10101161*j**3 + 24*j**2 - 53*j - 65214 wrt j.\nAnswer: 240*j**3 - 60606966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/13 + ((-192)\/39 - 612\/(-68)). Let o be -8 + 12 + 1*-3. Solve d = -k + o for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/3 - 21554*h\/3 - 407360.\nAnswer: -2*(h + 57)*(h + 10720)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 - -31. Let l be 2\/1 + 48\/p. What is the nearest to l in -4, 0.1, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 768?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 499398 less than 499398?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -j**7\/21 + 23*j**5\/60 - 9*j**2 - 25*j. Let m(o) be the first derivative of v(o). Find the third derivative of m(l) wrt l.\nAnswer: -240*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1334763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1036*s - 30 = 1034*s. What is the greatest common factor of s and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - sqrt(6)\/(2*sqrt(2) + sqrt(2)))**2 - (-1 + sqrt(75) + sqrt(3)) - ((3*-1*sqrt(3))**2 + (sqrt(12))**2 + 1))*-4*-3.\nAnswer: -452 - 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-102)\/85)\/(6\/40). Let o(u) = 75*u**2 - 20*u - 25. Let j(x) = 25*x**2 - 7*x - 8. Let t(g) = -8*j(g) + 3*o(g). Is t(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 9, i: 9}. Give prob of picking 3 i.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 103, 1, 3, -2, -1, -362 in increasing order.\nAnswer: -362, -2, -1, 1, 3, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-6)*21\/(462\/(-44)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5 + sqrt(17)) + sqrt(17)*2 + -1.\nAnswer: 24 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1248 = -40*g - 968 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -263, -2, 5.\nAnswer: -263, -2, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + -5. Let j = g + 5. Which is the nearest to 1? (a) j (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-472192)\/(-104346) + 2\/66 and 619\/(-60) - (-2)\/5?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**4\/2 - 23*z**3\/2 - 111*z**2\/2 - 153*z\/2 = 0. What is z?\nAnswer: -17, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 7*f - 5*f)*(6*f**2 - 28*f**2 - 3*f**2).\nAnswer: -50*f**3 + 75*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 673338.9ug?\nAnswer: 0.0000006733389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b77b3 (base 14) to base 5.\nAnswer: -222344022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -656*f**3 - 613*f**2 wrt f.\nAnswer: -3936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a factor of 9682302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n - 3 - n**2 + n**3 - n**3 + 225*n**4 - 233*n**4 to c*n**3 + v + m*n + j*n**4 + h*n**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -2*b - 4*q, -q + 2 + 2 = 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a + 2. Let n(x) = -5*x + 4. Suppose 3*d + 45*b - 49*b - 6 = 0, 5*d = 3*b + 10. Calculate d*n(q) - 5*f(q).\nAnswer: 5*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -615\/25097?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(168) + sqrt(168))\/sqrt(4))\/sqrt(6) + (sqrt(56)\/sqrt(72) - (sqrt(7) + -2*sqrt(28))).\nAnswer: 7*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4*d - 0*h + 1282, 5*d = 5*h - 1615. Let i = d + 227. Let t = 93 + i. Solve 0 = 3*n + 5*a + 6, t = 2*n + 2*a + 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65 + 67. Let n = 0.045 + -0.045. What is the nearest to n in 2\/5, t, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 88? (a) -1 (b) -0.4 (c) -1\/8 (d) -4\/25 (e) -3\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 25*p + 4*p.\nAnswer: 26*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(39)\/(sqrt(3)*-2) + sqrt(13) + (sqrt(78) - sqrt(78)*2)\/sqrt(6) - -4*(-3 + sqrt(637) + sqrt(637))**2) + 3).\nAnswer: -2019*sqrt(13) + 61386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 8:24 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -424.3949216 to two decimal places.\nAnswer: -424.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 18936 divided by 4734?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 8:56 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 86001.851 to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18160*p**2 - p**3 + 8949*p**2 + 8967*p**2.\nAnswer: -p**3 - 244*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*a - 8. Let c(u) be the third derivative of u**5\/30 - u**3\/3 - 5*u**2. Determine c(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**2 - 2*s - 1. What is the units digit of a(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2 + 1 + 19*i - 20*i. Let f be k(2). Is f - (-1)\/(-2) - (-1464)\/16 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.9 + 1.1. Let k = 9 - d. Which is the second biggest value? (a) -0.5 (b) -4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21897*o**3 - 8173 wrt o.\nAnswer: -65691*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 - 40. Suppose -z + o = 6. Let c = 5 + z. Solve 2*s - 3*x = 1, s - x = x - c for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 32*s = -27*s - 24, -3*s - 2*s = -0*s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 3 - (-1 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*k - 1544 + 222 = -134 for k.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2247190751 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-10) + (-276)\/(-1610). Put -4\/5, 0.21, 2, 1, n in ascending order.\nAnswer: -4\/5, 0.21, n, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57.8 + -57.7643. What is m rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 34 = -31. Suppose -5*a + g = 3. Factor -3*m**2 + m**4 - m**3 + 4*m**a + 3*m**3.\nAnswer: m**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 296*p**2 - 168*p + 139*p + 29*p.\nAnswer: 296*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -4*r + 4, 5*r - 3*u + 3 = 12. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6153\/29068 - -1\/7267. Let p = 6\/13 + v. Which is the closest to -1? (a) p (b) 0 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/6? (a) -1 (b) 1\/5 (c) -2 (d) -2\/9 (e) -3\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 26370\/40 + 10 + (-21)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (3 + (2 - 6)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -1 (c) -1309 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/5390906 and -77\/76.\nAnswer: 204854428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 95784943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190134?\nAnswer: 2, 3, 7, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 9:44 PM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 74.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of l**4\/4 - 2*l**3 + 2*l**2 - 2*l - 54. Give x(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5998*u**2 - 11970*u.\nAnswer: 11996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-2)\/5 - (-259)\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.32, 6\/5, -2\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -10 + (1 - (20 + -16)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -9*j**3 + 6*j**2 - 15*j - 13. Let m(z) = 5*z**3 - 3*z**2 + 8*z + 7. Let g(v) = -11*m(v) - 6*p(v). Give g(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 8 = o - x, -3*o - 26 = 5*x. Let k be (-4)\/6 - (-1240)\/o. Let g = 518\/5 + k. What is the biggest value in 6, g, -1\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2846073 is divided by 237172?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(3\/19)\/h*h**(-24\/7)*h*h)\/((h*h**(-2\/23)\/h*h)\/(h\/(h\/h**(-32)))))**(3\/13) assuming h is positive.\nAnswer: h**(-24837\/3059)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 9*c + 2. Let p(q) be the first derivative of -5 - 107 - 14*q**2 - 3 - 7*q. Calculate -2*p(i) - 7*x(i).\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 350739108 a multiple of 606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + (-10777)\/(-4) - (5 - 266\/56) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nx when two letters picked without replacement from nvxxxnxxxvxxxvx.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -18278623 and 87309.\nAnswer: -18191314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 8:38 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -203066 (base 8) to base 13\nAnswer: -24727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -q**6\/27 + 28*q**5\/15 - 173*q**4\/9 - 32*q**3 + 347*q**2\/9 + 260*q\/3 - 7637. Solve a(k) = 0.\nAnswer: -1, 1, 13, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 16*u - 260. Determine i(16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**3 + 25*a**2 + 2*a - 2. Let h(l) = -l**2 + l - 1. Calculate 2*h(x) - j(x).\nAnswer: -2*x**3 - 27*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 1, -8 in increasing order.\nAnswer: -8, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.18 + -0.08. Let t be (-34)\/48 + (-5)\/(-15). Is t less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247612231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3611.\nAnswer: 23, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351*w + 16537 + 40871 = 845*w for w.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 318*f. Let i(p) = 4*p - 7. Let x(w) = -3*w + 7. Let o(v) = -5*i(v) - 5*x(v). What is o(b(a))?\nAnswer: -1590*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -7, 31683 in descending order.\nAnswer: 31683, 12, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 8. Let d(z) = -2*z - 5. Let t be d(i). Suppose t*n = 3*g + 15, 2*n + 1 = 5*g + 14. Solve 0 = -n*s + 9 + 11 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1398, 3842, 7328, 11856, 17426, 24038, 31692?\n\"Answer: 521*m**2 + 881*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, i: 1, k: 1, y: 2, w: 2, u: 1}. Give prob of picking 2 i and 1 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*c**3 - 29*c**3 - 33*c**3 - 8*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 630300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**3 - 86*n**2 + 1744*n + 3840 = 0. What is n?\nAnswer: -2, 40, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -6510\/19, -1846?\nAnswer: -6510\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1)\/a)\/(a*a*(a**(2\/25)\/a)\/a)*a**(-9\/2)\/a**6 assuming a is positive.\nAnswer: a**(-629\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j = 8*j - 161. Let a(o) = 5*o**2 + 4*o**2 - 1 + 2*o - 220*o**3 + 6. Let f be a(j). What is f rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - z + 1247 + 400 = 0, 1097 = 2*q + z. Let t = 4919\/9 - q. Find the common denominator of -65\/6 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**4 - 3776*v**3 + 18812*v**2 - 30064*v + 15024.\nAnswer: 4*(v - 939)*(v - 2)**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/3210 and 67\/22?\nAnswer: 35310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qdnq when four letters picked without replacement from nndqnqnnncoqnncnnnn.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17714231 is divided by 1481?\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*3\/6)\/(66\/176).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 1736454.\nAnswer: -3, 5, 1736454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.20901916 to four dps.\nAnswer: -0.209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2226457 is divided by 556563?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 6*q**2 - 9*q + 4. Let b be i(7). Let v(g) = -2*g + 2. Let o(l) = 6*l - 6. Let z(a) = b*v(a) - 3*o(a). What is the derivative of z(r) wrt r?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + a. Let o be x(1). Suppose o*j - 175 = -3*j. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 2) + (-78)\/(-2). Suppose -252 = y*g - 39*g. Let n = g - 5. What are the prime factors of n?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3191823.96 less than -2294?\nAnswer: -3194117.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -101 and 25.6?\nAnswer: -2585.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 46, 0.3, -7\/9, -26, 0.4, -0.2?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*x + 21 = 0, x - 36 = -5*m - 71. Let t be 233\/5 + (-4)\/(-10). Let c = t + m. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-345)\/(-3036))\/((-70)\/(-12))*7*3\/18\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7100661\/40715 - -7\/8143. Let z be (-1038)\/(-6) + 4\/2. Let j = z - c. Which is bigger: 2 or j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*i + 0 - 6\/5*i**2 - 2\/5*i**3.\nAnswer: -2*i*(i + 1)*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2646967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149948044 is divided by 188.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*b - 2*n = -158, 0 = -2*b - 4*n + 71815 - 71925 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -4\/5, -2, -23, 2\/5 in ascending order.\nAnswer: -23, -2, -4\/5, 1\/4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9400 is divided by 178.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1255 + -755. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -15. Let r(p) = p**3 - 6*p**2 - 6*p - 5. Let z be r(a). Let l(k) = -2*k + 3. Determine l(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80\/90 - 145266\/(-54).\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + 5 - (0 + -7). Let j = n + -1. Let o(x) = 7*x**3 - 5*x**2 - 3*x + 5. Let q(f) = -7*f**2 + 6*f**3 + 6*f**3 - 2*f**3 - 4*f + 7. Give j*o(a) - 5*q(a).\nAnswer: -a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k + 27*k = -5. Let c be 24\/14 + (-4)\/14*k. Solve 2 = 5*g + 3*t, c*t = -t + 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -359801, 0, -18\/5, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20\/(-24))\/(-5) - 5\/(-15). Let n be (-4)\/9 - 2\/9. Which is the closest to -2\/7? (a) j (b) n (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 443484 and 68580?\nAnswer: 6652260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4683*m = -4647*m - 360 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 5. Let p(h) = 2*h + 5. Let l be p(-5). Let i(g) = 2*g + 16. Let k be i(l). Solve d = -4*n + 6, -5*n + k*d - y = d for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 722625 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58 (base 16) to base 2.\nAnswer: 1011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -67073\/8694 + -44\/621. Find the common denominator of 17\/10 and n.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times 4?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-83 - 2)*(-4)\/10. Let m be s\/(-2) + (-2)\/2. Let z = m + 36. What is the greatest common factor of z and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**32\/v)\/v**(1\/23)*(v\/(v\/(((v**(-2\/23)\/v)\/v)\/v)*v*v))**9 assuming v is positive.\nAnswer: v**(-341\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556550 is divided by 584.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -17012*p + 153102. Give i(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in -4, -0.5, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -34334*n + 16941. Is c(-59) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a + 2. Let g(t) = 2*t - 3. Let m(j) = -2*g(j) - 5*q(j). Suppose u - 62 = 4*k, -u - 21 = 4*k + 37. Let p be (-38)\/(-5) + (-6)\/k. Calculate m(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + m - 3. Let a(q) = -8*q**2 + 1226*q - 13. What is -a(l) + 5*o(l)?\nAnswer: 3*l**2 - 1221*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -58\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -156774, -156248, -155708, -155148, -154562, -153944, -153288?\nAnswer: -152588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1069218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219511356.\nAnswer: 2, 3, 23, 107, 7433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.23 and 28881.\nAnswer: 35523.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m + 11. Calculate v(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u - 9*u = -90 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 0 + 290*g - 10 - 289*g. Let c be a(12). Is (-455)\/(-7) - 4\/c a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -9190933.\nAnswer: -9190930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**4 - 162*v**3 + 460*v**2 + 648*v - 1872 = 0. Calculate v.\nAnswer: -2, 2, 3, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**4 - 69*g**3 + 4841 + 70*g**3 - 2*g**4 + 38 as q + f*g**2 + w*g + m*g**4 + k*g**3 and give q.\nAnswer: 4879","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**5\/20 + 2*v**4\/3 - v**3\/6 - 2*v**2 + v. Let p be t(8). What is the tens digit of (33\/p)\/(2\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -855657258998.\nAnswer: -855657258998.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7027 is divided by 292.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - 4\/(-6 - 5 - -15).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/868 and 107\/306.\nAnswer: 132804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c + c - 4*c + (23 + 23 - 50)*(-c + 1 - 1) + 17*c + 3*c - 92*c to the form w*c + x and give w.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 1\/(-1))*1\/1. Suppose z = -9*c + 10*c - 216. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10730, 44282, 100202, 178490, 279146?\nAnswer: 402170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11461, 58196, 136089, 245140?\nAnswer: 385349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9487*1\nAnswer: 9487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/k**(1\/3)*k)\/k)**(-33)\/((k\/(k\/(k\/((k\/k**(2\/3))\/k*k))))\/k)**(-16))**(-44))**(1\/95) assuming k is positive.\nAnswer: k**(3608\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -893*i + 8038. What is s(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -997.3949 + -1.7051. Round b to the nearest 10.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + (1*sqrt(3087) - sqrt(63)) - (0 + sqrt(63) + sqrt(63) + -5))*4.\nAnswer: 20 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 56*g**2 + 340*g + 253. Calculate q(49).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 43. Calculate the greatest common divisor of n and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22458569 rounded to four dps?\nAnswer: -0.2246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 546416 + -20917. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 8*p. Let g(w) be the third derivative of -7*w**4\/8 - w**3\/3 - 100*w**2 - 3. Determine v(g(t)).\nAnswer: -168*t - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/2439 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29.3 * 3.\nAnswer: 87.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.033292l to millilitres.\nAnswer: 7033.292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17617 and 22300.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = i + v + 5, -2*i = -v - 5. Solve i = g - 2 + 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) 0.1 (c) 1\/7 (d) -0.2326\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1242 times 2\nAnswer: -2484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 2 + 1 - (-2 + -1). Suppose 5*q - 30 = -p*i + i, -4*i + q + 24 = 0. Let b = i - -12. What is the highest common factor of 12 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3214917 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-81)\/189*(-399)\/(-9)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/5 (b) 1 (c) -0.5 (d) -8 (e) -4 (f) 0.082\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/((-10)\/6 - -2). Let j be (-219)\/14*n\/(-15). Let x = 19\/35 + j. Which is greater: -5 or x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 7:04 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 503706298 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4498 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 560 and 235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 5*s - 99. Calculate f(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 4. Let t be 1\/(f\/(1 + 3)). Suppose 0*h = h - t. Solve -3*q + h*x = -6 + 23, 2*q - 5*x = -16 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9130.\nAnswer: 2, 5, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffgffffffffqqg. Give prob of sequence ffg.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.4 + 0.4. Sort -5, -9, h in decreasing order.\nAnswer: h, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -l**8\/112 + 5*l**6\/6 - l**4\/24 + 15*l**3 + 1538*l**2. Find the second derivative of k(s) wrt s.\nAnswer: -60*s**3 + 600*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 254 - -107. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*t - 7*t - 1230, -4*t - 5*p - 971 = 0. Let o = t + 368. Let h be o\/28 + -7 + 3. Which is the nearest to -1\/9? (a) 3 (b) 0.3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.32, 4, 0.22, -5 in decreasing order.\nAnswer: 4, 0.32, 0.22, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*s**3 + 14*s**3 - 3*s**4 + (-3*s**4 + 6*s**4 - 2*s**4)*(-4 + 2 + 1) - s**3 + s**4 + s**3.\nAnswer: -3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*r = -73*r + 576. What is the greatest common divisor of 9 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/9254 and -79\/392.\nAnswer: 259112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 1 = 16, w = 4*k - 1. Suppose -2*p + 22 = -4*m, -p - m + 8 = 3*p. Suppose r - p = -0*r. What is the nearest to k in 3\/2, 1, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.16, 0, -1\/5, -4, 7.6.\nAnswer: -4, -1, -1\/5, -0.16, 0, 7.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -3) + -4 + 1 + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 73621763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - -192. Let x be (-1)\/(-6) + (-7)\/((-1386)\/40917). Let t = x - z. Which is greater: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2839*m - 212932. What is c(-75)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 10 = -n + 6*n, d - n = -8. What is the second smallest value in d, 2, 0.33?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pyyyyypypyy. Give prob of picking 2 y and 1 p.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 1)*(-5213*h**3 - 1158 + 5214*h**3 - 1514) as g*h**2 + t*h**3 + v*h + j and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {y: 2, t: 2, o: 5}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-6*(sqrt(1100) + -1) - sqrt(1100)).\nAnswer: -280*sqrt(11) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2304245 + -415?\nAnswer: -2305104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 137285 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 3, 559?\nAnswer: 559","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2004*b - 9*b**2 - 2004*b.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -238 - -163. Let d = 75.2 + r. What is the biggest value in 2\/9, 4\/3, d, 2\/27?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -439.6 - -485. Let q = d - 43. Let m = -3.4 + q. What is the nearest to m in -0.5, -6\/11, -5?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 4)*(-339*j + 979*j + 313*j)*(0 + 4 - 2)*(-3*j + 3*j - j) to x*j + m + p*j**2 and give p.\nAnswer: -1906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 2*s**2 - 3*s**2)*(-8*s**2 + 26*s**2 + 0*s + s).\nAnswer: -18*s**4 - s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3*24\/(-9))\/(1\/(-8)). Calculate the greatest common divisor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/((-28)\/(-8) - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-12) + 986\/204. Suppose 3*d - 2*s = 31, d = h*d + s - 56. Calculate the highest common factor of d and 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -42. Suppose w = 2*y + o, 6*y - y - 55 = -5*o. Let a = -6 + 14. Calculate the remainder when y is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 95 = -3*z - h, -z - 27 = 5*h. Let f be z\/(-6) + 2\/(-6). Suppose -11*y + 14 - 3 = 0. Put 2, f, y in increasing order.\nAnswer: y, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(720)*2 + 0 - 2*(sqrt(720) + sqrt(720) + 0 + sqrt(720) + sqrt(720))) + (sqrt(720) + 6*sqrt(720)*-3)*5)**2.\nAnswer: 5962315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**2 - 3*p**3 + p - 5 + 0*p**4 - 2 + 2*p**4 + 25 - 11 to a*p**3 + x*p**4 + h*p + f + b*p**2 and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**4 - 345*i**3 - 1260*i**2 + 13120*i - 11520 = 0. Calculate i.\nAnswer: -8, 1, 4, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1 (b) 4 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/11 - 110112*x\/11 + 50769630\/11.\nAnswer: 2*(x - 54591)*(x - 465)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**3\/4 - 245*r**2 + 977*r - 976 = 0. Calculate r.\nAnswer: 2, 976","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 52 or 2\/559?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5681, -5794, -5975, -6218, -6517, -6866?\nAnswer: -7259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 205? (a) 0.27 (b) -2 (c) -10 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 11*x + 26. Let l = 23 + -15. Let n be o(l). Suppose -n*t + 455 = 3*t. Does 20 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-1 - (1 + -4)) - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/2 - 11824633*s - 23649265\/2.\nAnswer: -(s + 1)*(s + 23649265)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -j**5\/20 + j**3\/2 + 2*j**2 + 10*j. Let m(f) = 4*f - 2*f**2 - 3 - 5*f - 6 - 10*f. Let a be m(-4). Give s(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + ((-2*-2*sqrt(1008) + sqrt(1008))*-1 - (2 + sqrt(1008) + 2 + sqrt(1008)*1)))*-6)**2.\nAnswer: 1778112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 28*a - 120. Calculate b(-24).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 160 - 160. Suppose v = -6*t + 44 - 44. Suppose 12\/5*l**2 + 15*l**4 + t*l + 0 - 12*l**3 = 0. Calculate l.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -149*n - 81*n + 51*n - 244*n to c + y*n and give y.\nAnswer: -423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2862 and 51954.\nAnswer: 54816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mbbb when four letters picked without replacement from mmmmcbbbmcbccc.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**5*t - 793*q**3*t - q - 7*t wrt q?\nAnswer: -20*q**3*t - 4758*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 930 and 653710.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111011 (base 2) in base 15?\nAnswer: 11b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 1:45 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -27*m - 309. Let j be k(-14). Solve -23*f = -115 - j for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4324 < 4325?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/120 and -74\/1607775?\nAnswer: 12862200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/5)*a**(-2\/7))\/(a**(-19)*a\/(a*a\/((a\/(a**(-1\/19)\/a))\/a))) assuming a is positive.\nAnswer: a**(12277\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30317, -30313, -30309?\nAnswer: -30305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 10912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*p - 50*p - 19*p)*(-5*p - p + 12*p) to s*p + f + o*p**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f. Suppose 4 = -b - b, 0 = -4*x + 5*b + 34. Suppose 2 = -5*h - 3. Let s = x + h. Let q(z) = -3*z + 2. Give s*a(y) - q(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 52, -1, 3 in decreasing order.\nAnswer: 52, 3, -1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*v = 6845 - 6295 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2652 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a. Let l(m) = -m + 747. What is l(y(o))?\nAnswer: -2*o + 747","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 895265 - 1398403977\/1562. Calculate the common denominator of j and 47\/284.\nAnswer: 3124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 + (-14 - (16 + -12 - 7))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a. Let x(p) = -2*p**2 + 2*p - 4. Let k(q) = 2*g(q) + x(q). Let m(o) = o - 1. Suppose -4*u = z - 13, 16*u - 15*u + 5 = -3*z. Give u*m(i) - k(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 20*y**2 + 7*y - 18. Let b(j) = -11*j**2 - j + 2. Let a(n) = 11*b(n) + 6*g(n). What is a(27)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*q. Let t = 1 + q. Let h = 9 + -8. Is t at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-304)\/(-114) + 23\/(-6)*2253392. Round y to the nearest 100000.\nAnswer: -8600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57*a**2 - 41*a - 6*a - 8*a**2 + 37*a**2 wrt a.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.029, -3, 1641, 0.4?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*u**2 - 11*u**2 - u**2.\nAnswer: -37*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 6*q - 4. Let d be l(7). What is the tens digit of (-3 - (-282)\/9 - -2)*d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 115, 175, 249, 343, 463, 615?\nAnswer: 805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-4))\/((-10)\/(-96)*102\/255). Solve 101*j - 105*j = f - 14, 3*f + 2*j = u for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/3)*q**(-11)\/q*q*q*q)\/(q**(5\/4))**(1\/19))**22 assuming q is positive.\nAnswer: q**(-23573\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w + 2*w + 24 - 27 + 28*w**2 as a*w + b*w**2 + y and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 937093\/(-106)*(-2 - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -29*z**3 + 32*z**2 - 110*z - 14. Give f(4).\nAnswer: -1798","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of c**4\/4 + 4*c**3 + 19*c**2\/2 - 16*c - 318. Calculate z(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 5 - 2. Suppose -l + 1 = -4*v - 6*l, 2*v - 22 = 2*l. Let j be ((-2)\/t + 0)*v. What is the smallest value in j, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 155 times 196\nAnswer: 30380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -28*h + 9. Let r(z) = -3*z - 6. Let t be r(-1). Let i(l) = -l**2 - 3*l - 2. Let f be i(t). Is 12 a factor of s(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 32 - 35. Suppose 2*i - 20 = 2*s - 4, -4*s = 2*i + 38. Put -4, v, s in descending order.\nAnswer: v, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7536143 millilitres to litres.\nAnswer: 0.0007536143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5095 = 5*x + 3935, -4*u = x - 7234. Suppose 8*n - u = -136. Calculate the greatest common divisor of n and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -79768 by 39884.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2 + sqrt(153) + sqrt(153) + -2*sqrt(153) + 1 + (1*sqrt(153)*6 - (sqrt(153) - (-5 + sqrt(153)*-2 - sqrt(153)))))**2*-3.\nAnswer: -1863 + 108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10849.9 - 10850. Sort 0.19, l, 0.2, 0.09, -1\/3.\nAnswer: -1\/3, l, 0.09, 0.19, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 17*s**2 - 3. Let j be l(-17). Let r be j + -1 + (-182)\/(-42). Which is the biggest value? (a) -4 (b) r (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -11*j + 24. Let y be g(-15). Let i(l) = l**2 + 7*l + 9. Let m be i(-9). What is the greatest common factor of y and m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -145.883 to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 - 1)*(-2 + 4 - 7)*(2 - 2*s - 5 - 2) to the form t + f*s and give f.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 862*g**4 - g**3*s**2 - 37*g**2*s**2 + 15*g**2*s wrt g?\nAnswer: 20688*g - 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 84*(14\/(-16)*-4 - -4). Let m = i + -360. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 78*j. Let f(t) = -t**2. Determine h(f(c)).\nAnswer: -78*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1951864432 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100110010 + 10?\nAnswer: 1100110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(((-11)\/6)\/((-43)\/(-387)))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bss when three letters picked without replacement from {s: 8, b: 2}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7282 and 1166.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + (-5 - 6) - (-2 + -10).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -41658, -41578, -41444, -41250, -40990, -40658, -40248, -39754?\n\"Answer: b**3 + 21*b**2 + 10*b - 41690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -r**2 - 704887*r*v**2 + r + 38040*v**2 + 202 wrt r?\nAnswer: -2*r - 704887*v**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/8136 and -71\/153080.\nAnswer: 155682360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*k*z**5 - 526*k*z**3 + 10*k*z**2 + 4*k*z + 12*k - 3*z - 11 wrt z?\nAnswer: -60*k*z**3 - 3156*k*z + 20*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73409712 to the nearest integer?\nAnswer: 8568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 102, -3 in descending order.\nAnswer: 102, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 11\/8 of a minute?\nAnswer: 82500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 49*i - 64. What is f(48)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x. Let g(b) = -5*b. Let l(d) be the first derivative of d**3\/3 - 3*d**2 + 34. Let i(f) = 6*g(f) - 5*l(f). Determine r(i(z)).\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -37\/440?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 96*u + 4. Let p(b) = 3*b**3 + 191*b - 9. Calculate -5*j(s) - 2*p(s).\nAnswer: -s**3 + 98*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 6*b**2 - 7*b + 4*b**2 + 22*b + 16 + b**3 - 7*b. Let l be p(-8). Let a = -8 + l. Is 8 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -46, -86, -126?\n\"Answer: -40*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/4 (b) 1\/6 (c) -0.08 (d) 6 (e) 1 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(119)*-4)\/(sqrt(7) + (sqrt(84)\/sqrt(6))\/sqrt(2)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -4357, -3.5 in ascending order.\nAnswer: -4357, -3.5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10 (b) 5.3 (c) -1\/44 (d) 0.2 (e) 0.5 (f) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + (-1 + 16)\/(-1). Let w(i) = 3*i - 1. Let b(h) = -9*h + 3. Let l(t) = o*w(t) - 6*b(t). Differentiate l(y) with respect to y.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19414 = 699*f + 260*f + 183*f for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 6*x - 305 = 5*x, -4*x = 3*m - 166. Suppose 199 = 3*s - m. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46416, -92845, -139298, -185787, -232324?\nAnswer: -278921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-2))\/(-1)*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 + 2*p**2 + 2*p**2)*((1 + 2*p - 1)*(-3*p + 2*p + 2*p) + 6*p**2 - p**2 - 3*p**2 + (6*p + 3*p - 7*p)*(3*p + 1 - 1))*(-43 - 28 + 26).\nAnswer: -450*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 3*h**2 + 4. Let y be r(4). Let a(w) = -w**2 + 2*w - 6. Let p be a(5). Let c = y - p. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3143.\nAnswer: 7, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 29080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7*(-5)\/(14 + -19). Solve -128 = -39*m + o*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -814548 from 1062045.325.\nAnswer: 1876593.325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bczzbcczccb. Give prob of picking 2 c and 1 z.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 49319 = 5*p, -2*p - 4*h = -11609 - 8101. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*b)*(-35 - 2*b + b + 2*b + (1 + 1 + 2)*(-3*b + 4*b - 2*b)) + 6*b + b**2 - 4*b**2 - 8*b.\nAnswer: -9*b**2 - 72*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33 by 3667.\nAnswer: -33\/3667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -20.2. Let a = 193.6 - 215.6. Which is smaller: a or h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -190 and -0.2.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 >= -630.56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of y**4\/36 - 5*y**3\/27 + y**2\/6 + y + 42. Let q(n) = 0. What is n?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttctccttcc. What is prob of picking 2 c?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**3 - 221 - 15*s + 437 - 218 + s**4 to the form o*s**3 + n*s**4 + z*s**2 + w + h*s and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1052)\/3*39\/(-52). Suppose 9*j - 79 = p. What is the remainder when 124 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 24, 2\/7, -2 in decreasing order.\nAnswer: 24, 2\/7, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**5\/y*y*y*y*y*y**0*y*y*y*y*y*y)**(-4\/21))**(3\/7) assuming y is positive.\nAnswer: y**(-8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29046 and 11280.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1799 divided by -10?\nAnswer: -1799\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9159 and 258.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zg when two letters picked without replacement from {r: 1, l: 2, g: 3, z: 6, n: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001128778295 to 5 decimal places.\nAnswer: -0.00113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -763, -1555, -2335, -3097, -3835, -4543?\n\"Answer: q**3 - 799*q + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 2 (c) -2\/3 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 22 = -6. Let s(a) = 4*a - o*a - a. Suppose 3*v + 0*v - 15 = 2*r, 0 = 5*v - 4*r - 23. Give s(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 415*n**2 - 6*n + 504. Let b(z) = 3*z. What is a(b(y))?\nAnswer: 3735*y**2 - 18*y + 504","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 448594875 and -863.\nAnswer: 448594012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**3 - 18*l**2 + l - 7. Let s = -1241 + 1232. What is c(s)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -5*a + 30, 2*a = -2*p - 2*p + 22. Let t(c) = -3*c + p*c - c - 3 - 3*c. Calculate t(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, -506.\nAnswer: -506, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from islvsiivivl. Give prob of picking 2 v and 2 l.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u - 100901 = 173059. Suppose 12122 = 18*v - u. What are the prime factors of v?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -90 + 94. Let u be 3*(4 - (1 - j)). What is the highest common divisor of 42 and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/3 + 1\/(-6 + 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 8*f - 3*f. Let y be 1 - 0 - f\/(-4). Suppose y*t - 48 = 80. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4\/9 - 40*h**3\/3 - 14*h**2 + 244*h\/9.\nAnswer: 2*h*(h - 61)*(h - 1)*(h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-4)*(-3 - -3). Let b(s) = -2*s - s**2 + f*s**2 + 2*s**2 - 6 + 8. Suppose 21 - 9 = 4*h - 2*m, -5*m = 3*h + 4. Calculate b(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 245 and 44198.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9 - -3)\/(15\/(-15)))\/((-2)\/(-12)). Sort 21, 4, z.\nAnswer: 4, 21, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 3 (c) 850 (d) -2 (e) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 49*d + 299. Let a be h(-6). Solve 3 = -l, -a*b + 20 + 4 = -3*l for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 20\/12)*(-9 - -3). Let t(r) be the third derivative of 0*r**3 + 0*r**4 + 1\/135*r**5 + 0 + 0*r - 1\/540*r**6 + u*r**2 - 1\/945*r**7. Factor t(f).\nAnswer: -2*f**2*(f - 1)*(f + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n**4 + 782605*n**3 - 7585481.\nAnswer: 4*n**3 + 2347815*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 8 = 2*c - 33, 2*c - 38 = 2*k. List the prime factors of (-126)\/(-10) - (-8)\/c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -28317, -28286, -28239, -28176?\n\"Answer: 8*i**2 + 7*i - 28332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/8 (b) 0.4 (c) 0.8 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44065314.\nAnswer: 2, 3, 2448073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -59*u + 1130. Let b be s(19). Solve -3*p + 2*g = -92 + 85, 4*g = p - b for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -c**4\/14 + 4*c**3\/21 - c**2\/7 + 6. Find y, given that g(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21 + 0*z**3 + 2203*z**4 - 11*z**2 - 2224*z**4 + z**3 wrt z.\nAnswer: -504*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 13 - (-38 + 15 + 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/5*10\/4 + 2.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/315*539 - (5*-6)\/2.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 20*w = 75 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3276\/20 - 6\/90*-3 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3 or -303992?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49797\/18688 or 3?\nAnswer: 49797\/18688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.3 - 11. Let m = u + 0.7. Let x(s) = s + 14. Let f be x(-11). Sort 0.3, f, m in descending order.\nAnswer: m, f, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240*l**2 + 250*l**2 + 498*l**2 - 1024*l**2.\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b = 96*t - 95*t + 52, b = -3*t - 56 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80 by 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**3 + 9*g**2 + 13*g + 93. Let j be o(-5). Suppose 5*k - 11 = y, 4*k - 6 - 14 = -2*y. Put 0, j, -3, y in increasing order.\nAnswer: -3, 0, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-90)\/12*4\/(-3). Suppose -m = 6*p + 14. Sort 5, p, 8.\nAnswer: p, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 4. Suppose 4*u = -h + 14. Suppose -53 - 112 = -u*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrrrr. Give prob of picking 4 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 0.2 (c) 20\/11 (d) -0.07 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -426 + 554.2. Let m = 128 - o. What is the nearest to -14 in 2\/17, m, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b - 1. Let u(a) = a**3 + 5*a**2 - 12*a - 20. Let j be u(-6). Suppose 2*h = i + 4, i + 6*h - 3*h - j = 0. Give w(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 56157365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 f when two letters picked without replacement from {f: 1, a: 4, i: 1, g: 1, s: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5*1)\/(6\/6). Suppose -k + y + 16 - 4 = 0, 48 = p*k + y. Calculate the highest common divisor of k and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q - 3*c - 983 + 1001, 3*c - 54 = 15*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (-8 - -37)) + 17 - (1 - 3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**4 + 60*s**2 + 1 + 77*s**3 + 57159*s**6 - 21*s - 28600*s**6 - 28558*s**6 wrt s.\nAnswer: 120*s**3 + 24*s + 462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d + 7. Suppose 4*m = 2*m. Let r be m - (-9)\/3*2. Let n(c) = c + 1. Let h(s) = -5*s - 6. Let j(g) = -2*h(g) - 6*n(g). Calculate r*j(y) - 5*l(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 9 = -3*s. Suppose 2*q + 101 = 105. Put q, 1, s in decreasing order.\nAnswer: s, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*c + 114 = 0, u = -4*c + c + 42. Suppose -4*k + 2*x - 4*x = -34, 0 = 4*k + x - u. Let h(a) = a**3 - 7*a**2 - 10*a - 8. What is h(k)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**3 - 536*l**2 - 196*l + 3077. Give t(179).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z. Let h be c(1). Suppose h = f - 2. Suppose 14 = f*m - 2*m. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a5d + 20?\nAnswer: -1a3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*q + 86*q - 17650 = 290*q for q.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 11*z**2 + 4. Let t be f(11). Let j(v) = -v - 1. Let l(m) = -2*m - 4. Calculate t*j(h) - l(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) 22 (b) -1.9 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(8) - sqrt(128)) + sqrt(2)) - ((3 + sqrt(6)\/sqrt(3))*-1)**2.\nAnswer: -11 + 19*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**4 + 3*i**4 - i**4)*(2*i + 0*i - 3*i) + 442*i**5 + 221*i**5 - 43*i**5 + 0*i**5 + 2*i**5 + 2*i**5.\nAnswer: 622*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 1 + 1)*(7 - 7 + 4*i**2)*(-5 + 4 + 3) to the form k + w*i**2 + n*i and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i - 2499 = -2*i. Let o = i + 60. What is the remainder when o is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/125)\/((-3)\/7 + (-176)\/(-770))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*a = 1010, 11*g = 8*g + 5*a + 1491. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in six fifths of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**3\/9 - 4*b**2\/9 - 118*b\/9 + 112\/3 = 0. Calculate b.\nAnswer: -8, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1267354616.45045+0.4\nAnswer: -1267354616.05045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3506 - -3572. Suppose -2*s = 3*n - 505, 2*n = 2*s + 300 + 20. What is the highest common divisor of u and n?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 684011 + 605989. What is d rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 6672?\nAnswer: -6674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 - 50.71. Let q = -98 + 98.2825. Let k = q - r. Round k to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -17*w**3 - 91*w**2 + 314*w - 362. What is u(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 60, -2, 0, 1 in descending order.\nAnswer: 60, 27, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/8 - (-1324)\/64*4. Suppose 0 = -x*l + 82*l + 189. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*o - 46*o + 31461639 - 102*o**3 - 31461639.\nAnswer: -102*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -17, -39, -65, -89, -105, -107?\n\"Answer: d**3 - 8*d**2 - 5*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*y - 0*f + 12, 3*y - 3*f - 18 = 0. Solve y*r - r + 12 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 9598*c**2 - 21*c - 21. List the prime factors of z(-2).\nAnswer: 107, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*t**3*x**4 + 18053*t**3*x**2 + t**2*x**2 - 8958*t*x**5 wrt x.\nAnswer: 48*t**3*x - 537480*t*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -4*j + 540. Suppose 3*h = 5*l + j, 7*h = 3*h + l + 163. Suppose d - 13 - h = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11466 - -6721?\nAnswer: 20407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Express (18*a - 9*a - 5*a)*(67 + 6 - 5) in the form o + n*a and give n.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46921\/10 + 4688. Let a be (-1 - 1 - 33084\/54)*3. Let b = -14775\/8 - a. Find the common denominator of b and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 8954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(5\/6)*f**(2\/7))\/(f**0\/f**(-1\/3))*((f\/(f*f*f**2))\/f*(f*f*f*f**(2\/3))\/f)**(3\/7) assuming f is positive.\nAnswer: f**(3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 82 - 52. Let s be 168\/g + 2\/5. Let w = s + -6. Round w to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 6*s - 1. What is the lowest common multiple of 1 and o(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 6*g - 2*g. Let w = 143 + g. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 g when two letters picked without replacement from gggggggggggguguggg.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24100 and 466576.\nAnswer: 964","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 0*h = -5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16237576 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -696 - -728. Sort b, 1, -3 in decreasing order.\nAnswer: b, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 255, 292, 359, 462, 607, 800?\n\"Answer: o**3 + 9*o**2 + 3*o + 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 205*v**2\/2 - 8*v - 25. Let c be u(-3). Let f = -347 - c. What are the prime factors of f?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6525 (base 11) to base 12.\nAnswer: -4ba2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8864\/(-6648))\/(12\/(-15)*3\/189*5).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a day in minutes?\nAnswer: 10656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-19)\/f)\/f)\/f)\/(f**(-3\/11)\/f) assuming f is positive.\nAnswer: f**(-228\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(-21) + 32\/42. Which is the nearest to 0? (a) i (b) 0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8957981 to the nearest integer?\nAnswer: 2993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, b: 17}. Give prob of picking 2 m and 1 b.\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000094 to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 50.\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jlycjiijyclcyyyyyic. Give prob of sequence iy.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 21 = 7*v. Let w = 0 - 12. Let p be (1\/(-4))\/(3\/w). Solve -2*k + p = -v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 577*o + 2881. What is h(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 + -7 + -1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**4 - 47568*h**3 + 141467224*h**2 - 282791760*h + 141372100.\nAnswer: 4*(h - 5945)**2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k. Let c be m(1). Let l be (-210)\/(-4)*4\/6. Suppose 0 = 2*q - 5*w - l, 5 = 5*q + 5*w - w. Solve -c*n + 2 = -1, 0 = 4*o + q*n - 17 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185118 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114 and 2109.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 697 a factor of 170529414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102363*b**2 - 1817*b**3 + 102363*b**2 + 8245*b**3.\nAnswer: 6428*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -1 - (117 + -117).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 8*j - 6. Let a be s(9). Suppose 0 = p - a - 0. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54189 and 54189?\nAnswer: 54189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 73 and 10.\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2647572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 116968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 12*i. Let f(s) = 16*s**2 - 24*s. Let d(p) = -p**2 + 2*p. Let z(c) = 24*d(c) + 2*f(c). Calculate z(b(m)).\nAnswer: 1152*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 3 + 3)*((-z + 5*z - 2*z)*(-1 + 0 + 2) + 4 - 4 - z).\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 1 + 0*u**2 + 5*u**2 + u - 4*u**2. Let v = 262 - 257. What are the prime factors of t(v)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s - 24 + 144 + 50 - 24 + 121 as q + k*s and give q.\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1038836382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3418.848 grams to nanograms.\nAnswer: 3418848000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.5 + 2.5. Let p = 0.36 - -1.74. Let l = d + p. Is l at most -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25287271 is divided by 211.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**4\/8 + j**3 - 6*j**2. What is the derivative of x(d) wrt d?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14298*125\nAnswer: 1787250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07*-0.95.\nAnswer: -0.0665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/28*32\/(-72).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d + 6*d + 24*d**2 + 11*d + 2*d.\nAnswer: 24*d**2 + 9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -0.2\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 2, -19, -24, -7?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25\/114 + -1\/19. Let g(o) = -2*o**3 + o**2 + 2*o + 5. Let h be g(0). Which is the smallest value? (a) m (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k - 6 = -6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/6)\/(2\/3). Which is greater: g or 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4.2, -2, 68, 10\/37, -138?\nAnswer: 10\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 20 = 9*p. Suppose -65 = 3*s - 8*s - 2*j, -2*s + 5*j = -55. Calculate the greatest common factor of s and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 - 1 = f + 5*k, -2*f + 2*k + 16 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 17*r - 75 = -21 + 53, 6*m - 39 = -3*r for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*s**4 - 25*s**3 - 19*s**2 + 2*s + 3075687 wrt s.\nAnswer: 48*s**3 - 75*s**2 - 38*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2 + sqrt(3) + -2)**2.\nAnswer: -14*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 10*c**2 - c - 1. Let t be q(-10). Let a(m) = t*m - 2*m - 9*m. Let h(u) = 2*u**2. Give h(a(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -x + 12. Let v be (75\/(-18) - x)*(-7 - 1). Factor -4\/3 - 1\/3*u**2 + v*u.\nAnswer: -(u - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 142*c**2 - 53*c + 3. Let b(g) = -48*g**2 + 20*g - 1. Determine 8*b(t) + 3*k(t).\nAnswer: 42*t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w - 1. Let h(g) = g**3 + g. Let f be h(-1). Let u = f + -2. Calculate r(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 67 = 5*j, 30 = p + 319*j - 316*j for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2*20\/(-40)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-3 + (0 + sqrt(19))*-4)**2 + sqrt(209)\/(sqrt(77)\/sqrt(7)*-3 + sqrt(11))).\nAnswer: -1252 - 94*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 4*n**2 - 5*n + 2. Let l be t(3). Let b be 4 + l + -194 + -1. Is ((-4)\/6)\/(10\/b) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -268*r + 6438. Let a be k(24). Solve -c = 4*x + 16, a*x + 1 = 3*x + 2*c for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100100011100 (base 2) in base 12?\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*a - 6*a**2 - 10*a**2 + 2*a**2 - 4*a**2.\nAnswer: -18*a**2 - 19*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 155516 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b**(-7)\/b)\/b)\/(b**(-8)\/b)*(b**(2\/7))**(-13)*(b\/(b**(-1\/3)*b*b))**(-22)\/((b*b**(-2)*b)\/(((b**(-3\/2)\/b)\/b*b)\/b)) assuming b is positive.\nAnswer: b**(355\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25.8 and 0.4.\nAnswer: 10.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -1 + -101 + 102.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310762 is divided by 925.\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 91 - 93. Put c, -14, 2 in descending order.\nAnswer: 2, c, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1901656 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -3*c - 12, 3*n = -c + 4*c + 30 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 112.7, -2, 4, 249\/8 in decreasing order.\nAnswer: 112.7, 249\/8, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -144 + 140.32. Let a = m + -0.52. Let t = -0.8 + a. Put t, -4, 0.3 in increasing order.\nAnswer: t, -4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-152)\/(-120) - 6\/10. What is the nearest to -0.3 in z, 4, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 15*o**3 + 60*o**2 + 11*o. Suppose 3*p + 44 = -p. Let n(b) = 19*b**2 - 57*b + 5*b**3 - b**2 + 61*b + 2*b**2. Let m(r) = p*n(r) + 4*y(r). Factor m(l).\nAnswer: 5*l**2*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 11:57 PM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -7 + 2 + g - 20*g. Suppose 3*d = 5*d + 4. What is the tens digit of a(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -170 + 500. What is the highest common factor of m and 297?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*u**2 - 36*u - 1 + 36*u)*(207*u - 306*u + 191*u).\nAnswer: -1564*u**3 - 92*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -1559*y - 48177. Calculate b(-31).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4201, 4196, 4187, 4174?\nAnswer: 4157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1789340095 a multiple of 1682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 7:17 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 4:23 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47986 = -244*n + 35786 for n.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 339276.2 to the nearest 100.\nAnswer: 339300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 17\/60*u**5 + 1\/60*u**6 - 7\/12*u**4 - 7\/3*u**3 + 0 + 14*u**2 + 0*u. What are the prime factors of b(-9)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30 - 2504?\nAnswer: -2444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*g + t + 23, -4*g - t = -41 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 65998.\nAnswer: -5\/65998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -57*a**3*j**2 + 5944*a**3*j - a**3 + 293371*a**2*j**2 - 11*a**2*j - 2*a*j - 2*j wrt j?\nAnswer: -114*a**3 + 586742*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 9*y**2 + 45*y + 4. Calculate t(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*c**2 - 2*c**6 - 4*c**6 + c**6 wrt c?\nAnswer: -600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -63*a**2 - 3571*a + 245. Determine n(-57).\nAnswer: -895","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -6*d - 50. Let j be k(-14). Suppose -z + 46 = 5*t, -7*z + 48 = 5*t - 4*z. Let y = j - t. Solve 2*x + y = 2*h + 3*h, 10 = -2*x for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1577 divided by 163.\nAnswer: -1577\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -569532, -569564, -569600, -569640, -569684?\nAnswer: -569732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 8, s: 2, m: 2, a: 7}. Give prob of picking 2 h and 1 m.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j - 8. Let a be t(10). Suppose -12 = -w - 3*h - a*h, 4*w - 92 = 2*h. Calculate the remainder when 108 is divided by w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c + 0 + 0)*(2 - 3 + 3) + (3 + 3 - 4)*(-c + c - 2*c) + (-2 + 3 + 1)*(2*c - 3*c - c) - 4*c - 2 + 2 + 27*c - 21*c + 114*c as p + w*c and give w.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 25471 to the power of 1\/2, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4918 + -3498. List the prime factors of y.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.557328 to 2 decimal places.\nAnswer: -10.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 36 - 38. Let g be 30\/((-18)\/8 + (-3)\/z). Solve 6*r = 2*r + 5*u - 45, 4*r = 4*u - g for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 74172 + -1171?\nAnswer: 73001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -1040 (c) -39\/5 (d) -2 (e) 5 (f) -2\/3 (g) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/2307 and 41\/85.\nAnswer: 196095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/10*738\/205?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + -3 + 2)\/(-2). Let m(z) = 0*z - v + 3*z**3 - z**2 + 2*z - z. List the prime factors of m(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 467035 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 92\/5 + 5*(-10)\/125. Suppose -y*b + 3291 + 4053 = 0. Is b a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 607*t + 2*t**3 - 1211*t + 573*t - 21*t**2 + 2 in the form j*t**3 + q*t + r*t**2 + d and give q.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 11*h**2 + 5*h - 4. Let t be f(3). What is the greatest common divisor of t and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 926 - 908. Solve 4*a + p = -5*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p - 5*p**4 + 3*p**4 + 4*p**4)*(-5 + 9 + 3) as o + x*p + u*p**3 + q*p**2 + b*p**4 and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/4 (b) 3 (c) -0.5 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 + 42. Which is the fourth biggest value? (a) 1\/2 (b) -1\/11 (c) 1\/3 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 226721\/5360 - 2932\/67. Find the common denominator of y and 31\/96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -250692160 less than -0.0657?\nAnswer: 250692159.9343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-33)\/30))\/(182\/(-286)*-4)\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 8916 + 8082. Suppose d - n = -5*u + 1962, -2*d = 3*u - 2877. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + c + 20 = 314, -5*i = -2*c - 735. Is i <= 144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2865507 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/151327 and 21\/137570?\nAnswer: 1513270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1063, 0, -0.1 in increasing order.\nAnswer: -1063, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.0854114t?\nAnswer: 85411.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 22903.7 and 2857.\nAnswer: 25760.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 32 = 5*j, 2*j + r = 424 - 414 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 0 = -3*l. Let i be l\/(-2) + (-83)\/(-2). Suppose j = -t + 11, 0*t + 4*t = -5*j + i. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -22*v**2 + 7*v. Let g(t) = 6*t + 0*t**2 - 11*t**2 - 9*t**2 - t**2. Let y(b) = -6*g(b) + 5*o(b). Is y(2) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107495980 a multiple of 922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -38\/107 in 2\/19, -0.2, -5, 0.07?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/7 + 1388*b**2\/7 + 42880*b\/7 + 338944\/7.\nAnswer: 2*(b + 16)**2*(b + 662)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - a + 2768*a**2 - 2769*a**2 + 22*a**3 - 1 - 4*a**3 in the form y*a**2 + l*a + c*a**3 + o and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and 2098.\nAnswer: 2097.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 991 - 983. Solve 12 = -2*w - 3*n, -4*n + 0*n = k for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11 - (-5)\/((-10)\/(-4)). Let i(o) = -24 - o**2 + 11 + x. Let w(t) = 2*t. Calculate i(w(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 432714345 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 - j. Let a be o(1). Let k = 39818 - 2667794\/67. Is a at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/7 in 3, 0.1, -4, 2\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2388 and 395466.\nAnswer: 157395468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 10 + 3 + -2 + -4 + -4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18183924 divided by -6204.\nAnswer: 2931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 38274 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) 8 (c) -3 (d) -2 (e) 12 (f) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/4 - ((-1380)\/30 - -63))*2?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -5, 2, 3, 464, 4.\nAnswer: -5, 0, 2, 3, 4, 5, 464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -854*t + 30990 = -844*t. What is the hundreds digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 3*z - 23, d - 31 + 12 = 4*z. Which is smaller: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 20 = 0, -o - 2*o = 869*q - 844*q + 412 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 k, 1 b, and 1 d when four letters picked without replacement from {c: 4, d: 4, o: 7, k: 1, m: 2, b: 2}.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 - 47. Put 1, 4\/9, 3, p in descending order.\nAnswer: p, 3, 1, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 29 - 118. Calculate the remainder when 61 is divided by s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*l + 39*l + l**2 + 16*l - 88*l.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17600 and 1080?\nAnswer: 475200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 5 + 2. Is (-10 + 9)*f\/1 + 78 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 22, 0, -1714, -11 in ascending order.\nAnswer: -1714, -11, 0, 7, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*f - 0*f. Suppose 2*k = 4*n + 4, 0*k - 4*n + 16 = 3*k. Solve -f*z = -z + k for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-3)\/9*(13 + -10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/606626 and 55\/1819878.\nAnswer: 1819878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2*t - 2*t = 26, z = 5*t + 18. Suppose 3*b - 8 - 7 = 0. Put -1, z, b in descending order.\nAnswer: b, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67480009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 4*g + 13, 19 = -b + 4*b + g. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 662270933 to the nearest integer?\nAnswer: 25735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 16*r + 3. Let s be d(16). Is s < 11\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**3 - 6*q**2 + 26*q - 40. Give o(4).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 divided by -24801?\nAnswer: -7\/3543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*w = 567 + 783 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127375.\nAnswer: 5, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - 71 - 6\/2. Let c be (-14)\/u - (-97)\/11. Let y(b) = b**2 - 3*b. What is the remainder when y(c) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -19, 0.5, -4\/7, 21.\nAnswer: -19, -4, -4\/7, 0.5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = y - 31, -5*y - n + 9*n + 95 = 3*n for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 141*s**2 - 1351*s - 2695. Calculate u(-2).\nAnswer: 571","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 5:02 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9993168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1853*d**3*v*z - 2*d**2*v + 3*v*z + 27*v wrt d?\nAnswer: 11118*v*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(475) + 1) + -3)*-5 - -2*(2 + -1*sqrt(475) + 5))**2.\nAnswer: 320*sqrt(19) + 486401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 l when four letters picked without replacement from {t: 1, f: 3, l: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 711757673\/2345 - 303521. Let y = 2\/469 + j. Which is the second biggest value? (a) 3 (b) y (c) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 17*y**2 - y. Let f(t) be the second derivative of t**4\/12 - 46*t. Calculate f(u(m)).\nAnswer: 289*m**4 - 34*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*s - 29*s - 45*s + 606. Which is the smallest value? (a) s (b) -3\/2 (c) 8\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -98 - -98. Let a(k) = -12*k**2 + 2*k + 9*k + g*k + 32*k**2. Let f(c) = 7*c**2 + 4*c. Determine 4*a(t) - 11*f(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 20454 and 20455 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*g**3 + 14*g**2 - 14*g**2)*(9 - 13 + 20) + 201*g + 11*g**3 - 201*g.\nAnswer: -149*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2426*r + 173*r + 11903 - 72734 = 0 for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c. Let t(w) = -w - 1. Let m(y) = -3*t(y) - 2*z(y). What is the units digit of m(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 5*h + t + 200, h - 5*t + 13 = 0. Let v(l) = l**3 + 18*l**2 - 12*l + 18. Let i be v(-19). Let m = h - i. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 9:25 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7240\/344 + -21 + (47260\/(-215))\/(-4).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.43 + -1.4. Let w = c - 0.225. Round w to two decimal places.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20986 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -1, 4, -2 in increasing order.\nAnswer: -25, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 12021122010 (base 3) to base 5\nAnswer: 11311410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99, 132, 181, 252, 351, 484?\nAnswer: 657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 776818277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*d + 4*d**2 - 2*d - 5*d.\nAnswer: 4*d*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 191.7 - 176. Let f = y + -13.7. What is the nearest to 2\/9 in -0.1, f, 7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*t**2*x**3 + t**2*x**2 - 113*t*x - 21*x**3 + 6 with respect to t.\nAnswer: -8*t*x**3 + 2*t*x**2 - 113*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/2192 and -15\/32.\nAnswer: 4384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-4 - (2 - 3)) + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 divided by 602007?\nAnswer: 15\/200669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 275085.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g - 2. Let b(k) = k**3 - 6*k**2 - 2*k + 7. Let o be b(6). Let d be y(o). Solve -d*v = 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, w: 2, s: 2, i: 2}. What is prob of sequence wdw?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 96 = 4*q + 3*o, 0 = 3*q + 5*o - 100. Suppose 2*n - 3*j - q = 32, 2*j = 2*n - 60. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 7*n + 30. Let l be m(12). Let j = l + 28. Which is the biggest value? (a) 5 (b) j (c) 2 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 24*a = -26*a - 6, -n = 3*a + 4. Solve 4*c - n*z + 0 - 6 = 0, 3*z - 18 = -3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -36, 2, 1 in decreasing order.\nAnswer: 2, 1, 0, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -24*b**2 - 5*b - 17. Let a(p) = -p**2 - p. Let l be (1\/2)\/(2 - (-38)\/(-20)). Let r(m) = l*a(m) - s(m). Differentiate r(n) wrt n.\nAnswer: 38*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(55)*-4 - (sqrt(220)*-2 - sqrt(55)))\/(((sqrt(240)\/sqrt(4) + sqrt(60))*-1)\/(sqrt(24)\/(sqrt(4)\/sqrt(2)))).\nAnswer: 7*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 27*w**2 - 4*w - 11. Let o be (-11)\/33 + (-19)\/(-3). Let b be y(o). Suppose -182 = -3*r + b. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w - 1. Let c(b) be the second derivative of 2*b**3\/3 + 5*b**2\/2 + 7*b. Let u(y) = -c(y) - 5*o(y). Let h(k) = -2*k**2. Calculate h(u(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 0 - -1)*1. Suppose 0 = p*l - 0*l - 800000. What is l rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 56526395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33314923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/6)\/((-3)\/(-9)). Calculate the highest common factor of 1 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 + 2*t**3 - 3*t**3)*(-6 + 5 - 7)*(-3*t + 4*t - 3*t + (1 + 2 - 1)*(t + 0*t - 3*t)).\nAnswer: -144*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 2, 0.1, 0.4, 30?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 - 15*q - 4903668.\nAnswer: 3*(q - 1281)*(q + 1276)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -149 - -68. Suppose -12*p + 54*p + 3360 = 0. Which is smaller: g or p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 249 divided by 2\nAnswer: 249\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, h: 9}. What is prob of picking 1 g and 2 h?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 586998483?\nAnswer: 3, 19, 29, 355111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -29. Let f = d + -16. Find the third derivative of -8*k**2 - 8*k**2 - 10*k**f + 6*k**5 wrt k.\nAnswer: -240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5994 (b) -1 (c) -2 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 12332786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2622397015 to the nearest integer?\nAnswer: 51209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15412\/2415 + -40\/161. Calculate the common denominator of y and -32\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3049152369.\nAnswer: 3, 1016384123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 2:18 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4398299 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58140 = 39518*m - 37580*m for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 2768167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 140306440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 - 30. Let x(s) = s. Let i(w) = 4*w - 1. Calculate o*x(h) - i(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3763 is divided by 54.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-68)\/(-17) - (-2 - -1). Suppose -4*p - 12*x + 26 = -11*x, -2*p + 2 = -z*x. What is the lowest common multiple of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 - 136920814*f**2 - 273841625*f - 136920812.\nAnswer: -(f + 1)**2*(f + 136920812)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0. Suppose k = -l - 0*l + 3. Suppose 3*f - 2*s - 6 = 0, f + s + 2 = -1. Solve h + l*u + 5 - 3 = f, 2*h - u = 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*u + 42*u + 110. Let b(f) = -2*f**3 - f**2 + 11*f - 5. Let q(o) = -o**3 + 6*o - 2. What is u*b(k) + 5*q(k)?\nAnswer: -k**3 + 2*k**2 + 8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 10*w - 3367. Suppose 0 = 2*j - 1033 + w. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 2*d + 0*d**5 + 0*d**2 + 0 + 0*d**6 + 1\/3*d**3 + 0*d**4 + 1\/42*d**7. Find the second derivative of k(s) wrt s.\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-1 + (-3 - -2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*p**5 + 482*p**4 + 4*p**3 - 23426*p.\nAnswer: 60*p**3 + 5784*p**2 + 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - z = 970, p + 0*z - 3*z - 180 = 0. Let k = p + -57. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 8*q - 8. Suppose -8 = -4*a - 0. Suppose t - 2*f = -16, -a = 5*t - 2*f + 46. Let w(l) = 3*l - 3. Calculate t*w(j) + 3*k(j).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l - 2 - l**2 + 21*l - 9*l + 2*l to w + c*l**2 + k*l and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**6\/120 + 7*t**5\/60 - t**4\/8 - 4*t**3\/3 - 23*t**2. Suppose -28 = a - 3*a. Suppose 3*r - a = 4. Give w(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**3 + 5*x + 3. Let v be (0 - 2\/6)\/(17\/(-15759)). Suppose -312*a + 51 = -v*a. Let w(l) = -6*l**3 + 14*l + 8. Give a*j(p) - 6*w(p).\nAnswer: 2*p**3 + p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 3905?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -10 + 4*l**2 - 20*l + 0*l**2 + 24*l + 39 - 5*l**2. Determine k(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*m + 45*m - 20*m**2 - 91*m.\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uzzuuzuuzzuuuzuzzzuu. Give prob of picking 1 u and 1 z.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -235596248 divided by -2\nAnswer: 117798124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4247 - -4248. What is the closest to -0.1 in -3, -0.035, a?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + 68. Let l = -51 + t. Calculate the remainder when l is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - 7) + -3 + 1 + -1 + 9.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.2 + 3. Let s = -2 + 1. Which is smaller: v or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34792 - 34789. Let n(f) = -7*f**2 - 8*f + 13. Calculate n(d).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 10*g**2 - 6*g - 20. Let t be i(-10). Let z = t + -43. What is the units digit of z*1 + (-306)\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t - 1 + 0 + t. Let w be (8\/66)\/((-510)\/(-8415)). Let p(v) = 2*v. Let c(j) = -2*j - 2. Let o be c(-2). What is o*f(b) + w*p(b)?\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2355452*r + 1177717*r + 1177718*r.\nAnswer: -17*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 0 - 1168\/(-28) - (-10)\/35. Let u(j) = -3*j**3 - 3*j**2 + 3*j - 5. Let m be u(-5). Calculate the greatest common factor of o and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2 - 18*c - 369. What is n(16)?\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 195, 179, 159, 141, 131?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50 + 65. Suppose -5*j - 500 = -t*j. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -59*g + 64*g + t - 43, -2*t = 2*g - 14. What is the lowest common multiple of g and (-6)\/(-2) + 5 + -2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 455501 by 1.\nAnswer: 455501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2726504 and -5.\nAnswer: -13632520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 362461669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 165\/25)*50\/(-3). Let h = 60 - g. Let y be (-3)\/35*(-6)\/9. Which is bigger: y or h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 2\/3*z**4 + 20\/3*z**2 - 1\/180*z**6 + 13*z + 1\/30*z**5 + 0 + 28\/9*z**3. Factor f(q).\nAnswer: -(q - 10)*(q + 2)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3*o**3\/2 - 276*o**2 + 3*o\/2 + 276 = 0.\nAnswer: -184, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20044)\/(-30066))\/(3\/(-13) + 0).\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 6*r + 10. Determine c(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sm when two letters picked without replacement from {m: 3, k: 3, s: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14257 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -3 + 1 + 0 - -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a day in hours?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 80*q - 117. Let w be l(-9). Suppose 0*m + 2*p = -m + 1618, 6 = -3*p. Let t = w + m. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.42 + 0.68. Let l = v + -6.1. Let m = -5.03 - -0.03. Which is the smallest value? (a) l (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a + 4*a**2 - 388634 - 2*a + 388634.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8714 - -8717. Solve -2*v = -l*g + 13, -3*v - 12 - 10 = -5*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of c**5\/10 - c**4\/6 + c**2\/2 + 5*c + 5. Suppose 4 = r + 3. Calculate the remainder when v(r) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*(13\/4 + -2). Suppose 0 = -2*f + 2*t + 12, d*t + 20 = 3*f + 4. Solve -9 = -4*k + f for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.14 + -5.86. Let g = -1 - o. Let s be 1\/4 - 13\/20. Which is bigger: s or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35564 divided by -4\nAnswer: -8891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6651092768?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19525 - -17.2307.\nAnswer: -19507.7693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*9\/(-6)*(-44)\/(-3630)*22. Which is the nearest to 0.1? (a) u (b) -1697 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 + 100000000122?\nAnswer: 100000001012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -26 + 215*p**2 + 2*p - 20*p**3 - 13 - 14*p**4 + 3 - 65*p - 85*p**2 + 3*p**5 = 0. Calculate p.\nAnswer: -3, -1\/3, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10228330 to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2589880 and 280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.00527574 - -3.44488526. Let h = 112.45 - 109. Let z = h - w. What is z rounded to 5 dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9193 = -5*x + q - 2*q, 2*x - 3676 = -q. What are the prime factors of x?\nAnswer: 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*d + 576305 + 837415 = 0. Is 52 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50068 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**5\/2 - 300*j**4 + 4297*j**3\/2 + 14498*j**2 - 42690*j - 121400 = 0.\nAnswer: -607, -5, -2, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vb when two letters picked without replacement from {b: 5, v: 3, p: 4}?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12245515153 - -3?\nAnswer: -12245515150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -s, 2*m - 9*s + 100 - 52 = -2*m + 73 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2017046464+741\nAnswer: -2017045723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/6 of a day?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, w: 3, y: 6, o: 2}. What is prob of sequence yto?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m + 2*m - 1 - m**3 + 2*m**3 - 4221*m**2 + 2007*m**2 as h*m**3 + x*m**2 + t + z*m and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320365 is divided by 8143.\nAnswer: 2788","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 6*c - 16. Let i(l) = 2*l + 4. Let x be i(c). Which is bigger: 6 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16617\/10 + -1665. Let b = -22 - -12. What is the common denominator of 1 + -1 + (-73)\/b and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*d**3*t*w + d**3*t + 371*d**3*w + 625*d**2*t - 5*d**2*w + d*t wrt w?\nAnswer: 4*d**3*t + 371*d**3 - 5*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8458.0438965 + -8461.464. Let u = 3.42 + f. Round u to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.2 (b) -2\/3 (c) 59\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 4*h - 1. Let u be j(-3). Solve -5*c + s + 24 = 0, -5*c - u*s + s = -26 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -12. Suppose -52 + 8 = -b*s. Suppose -u = -2*x - x - 10, 4*x + 7 = -5*u. What is the highest common divisor of u and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*s, 3*x + 7*s = 10*s + 30. What is the thousands digit of (-3725)\/(-2) - 4*x\/48?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15629804 divided by 161132\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxixixbxibx. Give prob of sequence ibi.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + g = 17, -2*m - 26*g - 14 = -28*g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000780032 to 7 dps.\nAnswer: 0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 346.5 to the nearest 10.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 18*r + 14881 = 0. List the prime factors of (-23)\/(-69) + (-7)\/3*r.\nAnswer: 2, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71447.\nAnswer: 37, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 3*x**2 - 3*x + 3. Let z be n(2). Let q be (-2)\/(-5)*(8 - 185\/20). Which is the closest to 0? (a) 3\/4 (b) z (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4 = 0, -3*s - 2*r = 38 - 52. Calculate the lowest common multiple of 50 and s.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 9*o**2 - 9*o + 5. Determine x(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -16*c**3 - 23*c**2 - 29*c - 11. Let u(f) = 9*f**3 + 12*f**2 + 15*f + 6. Let a(q) = -6*h(q) - 11*u(q). Factor a(s).\nAnswer: -3*s*(s - 3)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -4*y - 537. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3646431 (base 9) to base 8\nAnswer: 7432303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-17)\/(-2))\/((-1)\/(-2)). Let q = -2493 - j. Let m = 10123\/4 + q. Calculate the common denominator of m and -87\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -563 - -5?\nAnswer: -555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6354508 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qg when two letters picked without replacement from qqqqgg?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 8*t + 4. Let s be n(8). Suppose s*u = 2 + 22. Let g = u - -1. Calculate the remainder when 20 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 1287*u + 140286. What is t(-109)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -334 + 8. Let c = i + 510. Let q = c - 184.0218. What is q rounded to three decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*h**3 + 205*h**2 + 125*h - 65.\nAnswer: 5*(h + 1)*(h + 13)*(3*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -3*t**2\/2 + 12*t - 3. Differentiate a(r) wrt r.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6629042393?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10506 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 9*i - 7. Let p be v(8). What is the highest common factor of 3 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 15.65 (b) 2 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*f - 60*f = 42195. Calculate the greatest common divisor of f and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppwpheperewwpwi. What is prob of picking 2 w and 1 i?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - p - 2. Let t be m(0). Suppose 4*x - 3*s + 4 = -27, -13 = 2*x - s. Let z = x - -9. Sort z, t, -5.\nAnswer: -5, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - a - 77, 10*a - 82714 = i - 82740 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35*(-30)\/(-12)*24\/50 and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*d**4 + 311*d**3 - d**2*o - 7822*o + 2 wrt d?\nAnswer: 56*d**3 + 933*d**2 - 2*d*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 v when four letters picked without replacement from zzvvzv.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 8046041.\nAnswer: 5\/8046041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 591918681 divided by 93\nAnswer: 6364717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-406)\/435 + 4\/30.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - (1 + -17)) + -2. Let x be (-6)\/4 - u\/8. Let i(s) = 468*s + 7 + 7 - 467*s + 7 - 22. Calculate i(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 1:57 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 9 times 0.4\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((2950\/(-75))\/59)\/((-2)\/(-39))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444.1 plus 4.5?\nAnswer: 448.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2925 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 17)\/(-6 - -5). Solve 0 = 4*k - 2*u + u + x, -4*k = 2*u + 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 15 = -d, t + 45 = 5*d - 2*d. Let p = -12 + d. Suppose 0 = -2*f + f - 3. Which is the nearest to f? (a) -2\/13 (b) p (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 d when two letters picked without replacement from {w: 1, d: 2, s: 1, q: 1, v: 1, x: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o - 5. Let i be a(-4). Suppose -3 = -2*h + i. Suppose -3*l = -h*y + 2*l + 126, -185 = -4*y + l. Is y a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w**2 - 6*w - 1. Let q(v) = -11*v**2 + 13*v + 3. Let k(y) = -9*g(y) - 4*q(y). Suppose -111*t + 58*t + 265 = 0. What is k(t)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110258830249 - -2135?\nAnswer: -110258828114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 - 0.3. Let u = g + 1.1. Let h = u + 0. What is the second smallest value in 2, h, 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 + -2 - -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 935*s - 2*s**2 - 935*s. Let t(b) = 6*b - 5. Let w(x) = 5 - 5 - 18 + 21*x. Let j(z) = 18*t(z) - 5*w(z). Calculate j(d(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106141?\nAnswer: 7, 59, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 130401 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 25. Let u(t) = 3*t + 6. Is u(y) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.035 - 37.965. Let n = -38.3 - o. Which is the third smallest value? (a) -3 (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75015 is divided by 582.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 18 = 6. Suppose -1 - 1 = -r*t. What is the tens digit of t\/(753\/(-189) + 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 242\/(-34) - -2*(-4)\/(-68). Suppose -10 = 3*r + 50. Let p = n - r. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwzq when four letters picked without replacement from {z: 4, q: 3, w: 7}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 f when two letters picked without replacement from {f: 2, n: 13, w: 5}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a microgram in nanograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**3 + n**2 + 49*n + 32. List the prime factors of p(-13).\nAnswer: 2, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (117 - -49) + -60 - (9 - -38)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -455*k + 462*k + 35 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4\/(-6) - (-58)\/6 and (-1499894)\/(-13904) - 2\/(-16)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27082 to the power of 1\/2, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, -2\/3, 65, 2\/7, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*n - 19 = -236*n + 5*w, 5*w + 22 = n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, d: 1, n: 3, b: 1, f: 2, z: 9}. What is prob of picking 1 z, 2 n, and 1 d?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(63\/(-6)*92\/(-161))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11\/10 + 14\/15. Put r, -1, 1\/17 in increasing order.\nAnswer: -1, r, 1\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 1112*n + 179164. What is b(-161)?\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(68) + (1 + sqrt(68) - sqrt(68)) + -3 + -5))**2.\nAnswer: -112*sqrt(17) + 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -30443?\nAnswer: 30442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14.73002 and -51.\nAnswer: -36.26998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/(-4) + 3)*28. Let s = g - -24. Is 15 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 45*x + 52*x - 100*x. Let y(t) = -t**2 - 17*t + 2. Let n be y(-17). Let o(j) = 3*j**2 + 3*j**2 - j**n. Determine k(o(r)).\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 255965 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 45482 divided by -25?\nAnswer: -45482\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 3*f + 65. Suppose -2*c - m + f = 0, -c = -3*m + m - 14. Calculate the greatest common factor of c and 48.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 42 + 188. Suppose -4*v + 3*o + 220 = 0, -y - 147 = -4*v - 5*o. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113.736 rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31460 and 121838288.\nAnswer: 6292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3\/2)\/((z*z**(-2\/13)*z)\/z)*(z*z*(z\/(z\/z**1))\/z)**(-8\/3) assuming z is positive.\nAnswer: z**(-599\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v**2 - 156*v + 25. Let c be r(-52). Solve c = -11*x + 16*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 2*g - 12. Suppose -g*p + 89 = -7. Let w = p + -1. What are the prime factors of w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 48476026\/11 or 4406910?\nAnswer: 48476026\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 9:40 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*g*i**2 - 187*g - i**2 + 2*i + 554 wrt g?\nAnswer: -14*i**2 - 187","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/915 and 58933\/89670 + (-7)\/49*4.\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -76436*p**2 - 21596*p wrt p?\nAnswer: -152872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109097990 + -8.\nAnswer: 109097982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - 4*(sqrt(187) - 2*sqrt(187)))\/(sqrt(176)*2 - sqrt(11)))**2.\nAnswer: 425\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 9*l**2 + 73*l - 349. Calculate x(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 11*c**2 + 12*c - 4. Suppose 3*k = -2*w - 33, 4*w + 3*k = w - 45. Determine q(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 5*u**2 - 10*u + 9. Is x(-6) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6517 + -6765. Suppose 2*a - 249 = 3*a. Which is smaller: a or o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*t + 4200 = 1000 for t.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-11)\/h*h)\/h*h)\/(h**3*h))\/(h*h*h**(-4))**28 assuming h is positive.\nAnswer: h**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18257\/5 - 1534243\/420. Find the common denominator of f and 25\/112.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**2 + 85 + 3*t**2 + 93 + 3*t - 171 - t**2.\nAnswer: -2*t**2 + 3*t + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1329 - 1329 - 26*f**3.\nAnswer: -26*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 2 (b) -5 (c) 6.9 (d) 27\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 29*t + 247. Let i be j(-9). What is the units digit of 831 + (-11 - i - 0\/1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-4)\/(-1) + (-26)\/12?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/46 - 20\/(22080\/924). Let l = -0.182 + -0.018. What is the nearest to 1 in 0.4, r, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*r - 47*r = -15678 for r.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by (-1548)\/(-44) - (-6)\/(-33).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19 - (-705)\/(-30))\/((-2)\/4)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 + 43. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 - 47. What is the smallest common multiple of 8 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 times -38?\nAnswer: 2014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2017 - 1145. Let t = -871.998138 + i. What is t rounded to 4 decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -4, -37, -13, -1, 0.054?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/3 + 14\/6. Suppose -v - v + 38 = 2*q, 6 = g*v. Solve 5*u + 2*y + q = u, -2*u = 4*y + 14 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116014 = 26*x + 45*x. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 1222749?\nAnswer: 1\/1222749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + w - 11, -w = -2*v - 0*v + 7. Let b = v - 3. Let l(z) = -z + 6. Is l(b) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.8562884 to 2 dps.\nAnswer: 29.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12037980 is divided by 39?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1059132*f**6 + 7*f**5 - 7*f**2 - 6139*f + 14?\nAnswer: 127095840*f**3 + 420*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24222*p - 22425*p = -156339 for p.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.31464259 times 8\nAnswer: -2.51714072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*i - 29*i + 3 - 21*i - 2.\nAnswer: -4*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 810*v**3 - 2*v**2 - 14*v + 35. Does 11 divide q(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-14 + -2 - -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1023 and 0.3.\nAnswer: 0.03069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9500607 is divided by 562.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*i - 119, 2*y - 173 = -y - i. Suppose -6*v - 2*z + y = -4*v, v - 14 = 4*z. Calculate the remainder when 49 is divided by v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*p - 97*p = 168 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gnhh when four letters picked without replacement from jjgjjjjhhghsjhnjh.\nAnswer: 1\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45774?\nAnswer: 2, 3, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 284424.041 rounded to the nearest 10?\nAnswer: 284420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, e: 10, h: 4}. What is prob of sequence es?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1885925, 1885923, 1885921, 1885919, 1885917?\nAnswer: 1885915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3335, -76, 4.\nAnswer: -76, 4, 3335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2 + 3*g - 15. Let d be l(-4). Solve 8 = 3*s - d*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**5 + d**2 - d**2 + (-d**5 + 0 + 0)*(0 + 1 + 1) - 2*d**5 + 5*d - 5*d - 2*d + 2*d + 2*d**5 + (-2*d**3 + 4*d**3 + d**3)*(-d**2 - 2*d**2 + d**2).\nAnswer: -7*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2299*q**2 - 836*q. Let n(v) = 2*v**2 + v. Determine k(c) + 836*n(c).\nAnswer: -627*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175299, -175393, -175551, -175773?\nAnswer: -176059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/64*10)\/(1\/(-4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*i - 6 + 2, -23 = -4*z - i. Suppose -z*r - 33 = -105. Solve -r = 7*f + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 13*u**3 + u**2 - u + 1. Let l be z(1). Let x = l + -8. Let g be (-1)\/3 - 7\/(-3). Solve 0 = c - x + g for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 27*l**2 + 1594*l + 57. Give v(-59).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 6*l**2 + 5*l - 2. What is the smallest common multiple of o(-7) and 8 - (36\/(-54) - (-1)\/(-3))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, n: 2}. Give prob of sequence vnv.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - 16*c + 2*c - 1868 + 17*c.\nAnswer: 5*c - 1868","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 26\/5 of a kilogram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 518 + -519. Which is smaller: -11\/37 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 2*l - 4, 5*h = -2*l + 40. What is the remainder when h + -1 - 3*664\/(-24) is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1388 is divided by 139?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.45 - 0.15. Let r = c + 1.1. What is the second biggest value in 4, r, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - -3. Calculate the remainder when 21 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 370 = -2*o. Suppose 3*i - o = 85. What is the highest common divisor of 18 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -240 and -240 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -22, -0.6, 1.7, 3, -2.4 in increasing order.\nAnswer: -22, -2.4, -0.6, 0.02, 1.7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 - 95\/3. Is l at least 5\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -8*w**2 + 26*w - 3. Let v(r) = r**2 - r + 1. What is -6*v(l) - x(l)?\nAnswer: 2*l**2 - 20*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 16*g**2 - 15*g. Let m be v(-15). Solve m = 5*b - 6*b - 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*s + 5*q - 246, -4*q = 3*s - 142. Suppose -15*g + 551 = 7*g - 1649. What is the highest common factor of g and s?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1278 - 1518 = -6*j. Suppose 0 = -29*w + 4497 - j. List the prime factors of w.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 255674\/35 + -7305. Calculate the common denominator of 64\/1715 and f.\nAnswer: 1715","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11093*j**3*l**2*m - 265*j**3*l*m**2 + 2*j**2*l**2*m**2 + 5*j**2*l**2 - 130110*l**2*m wrt j.\nAnswer: 66558*l**2*m - 1590*l*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 8*m + 65 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 102 = 30*f. Suppose 3*l + f*u = 6*l - 486, l - 5*u = 174. What are the prime factors of l?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*a - 596 - 348 = 0, -236 = -q + 3*a. What are the prime factors of q?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 3*a - 16, -4*a + 5*a = -2*q + 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 o when two letters picked without replacement from {i: 1, l: 1, f: 4, r: 1, o: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 9:02 PM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -16.626 and -29.632.\nAnswer: -46.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 3*s + 4. Let w = 3 - 6. Calculate the remainder when 10 is divided by o(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.084 + -2.084. What is the closest to 1 in -4, 1\/2, r?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a micrometer in nanometers?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 11:48 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/770 and -67\/5911605.\nAnswer: 130055310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25*(-8)\/((-40)\/1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163 - 161 - 138*b**2 - 290*b**2.\nAnswer: -428*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -1, 148 in decreasing order.\nAnswer: 148, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -78*k**4 + 2*k - 259 wrt k.\nAnswer: -312*k**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g\/(g**7\/g))\/g**(-16) assuming g is positive.\nAnswer: g**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 720.\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 81 - 31. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**2 - 15*o + 5. Let l be f(-7). Let y = -12 + l. Let a be (-14)\/(-6) - (-4)\/6. Solve -a*p - 4*z = 28, y*p = 2*p - 2*z for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 706436 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.026879 times 5?\nAnswer: -0.134395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence imi when three letters picked without replacement from mmimmmmi?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -3*f - 1 + 39, -f - 2*r + 656 = -7*r + 620 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3262322295 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 1 = 9. Let q be 2 + 248 + 1\/1. Suppose 4*p = -r + d*r + 217, -3*r = 5*p - q. Is p a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -594ba4b - 0?\nAnswer: -594ba4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**3 - 136*b**2 + 11. Let f(y) = 2*y**3 + 136*y**2 - 9. Calculate -6*f(x) - 5*q(x).\nAnswer: -2*x**3 - 136*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u - 7. Let l(r) = r**3 + r**2 - 2*r - 5. Let x be l(0). Calculate the least common multiple of 5 and h(x).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/24 and -73\/10675680.\nAnswer: 10675680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2432623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1527514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/15 - 146*c\/15 + 48\/5.\nAnswer: 2*(c - 72)*(c - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 0*w - 2 + 8 + 1 + 4*w. Let q be 1*2*9\/2. Is p(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -14*o - 1. Let r be g(1). What is the smallest common multiple of 4 and ((-220)\/r)\/((-2)\/(-3))?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -37, -83, -127, -169, -209, -247?\n\"Answer: l**2 - 49*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 28*m**2 - 169*m - 51. Determine k(10).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2107 and 1032?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 7163000 to the nearest 100000.\nAnswer: 7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -6 + f**2 + 3 + 3 - 4 + f**3 - f. Let a = 2 + -2. Suppose a*k = -2*k. Determine l(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1215 (base 6) in base 14?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3534948 and 5751.\nAnswer: 10604844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 13732 = -3*p, 3*p + 22429 = 3*m + 1816. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75667 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/3140 and -79\/29760?\nAnswer: 4672320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b - 22. Let n(l) = 4*l + 24. Determine -4*n(t) - 5*q(t).\nAnswer: -t + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 266853.249 to the nearest one thousand.\nAnswer: 267000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432) + (-4 + sqrt(147))**2 + (-2*(5 + sqrt(147)*3))**2.\nAnswer: 796*sqrt(3) + 5555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 482928.7mm in micrometers?\nAnswer: 482928700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1429 a factor of 9378527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a - a + 15587 = -14877. What is the highest common divisor of 102 and a?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**4\/36 - k**3\/9 + k**2\/6 + 3*k - 14. Factor c(w).\nAnswer: (w - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12031332 - 2?\nAnswer: -12032000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 2.9. Let o = 3287\/11 - 299. Which is the closest to h? (a) 1\/3 (b) o (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*v - 4, 62*v = 61*v + 3*j + 6. Which is bigger: v or -1\/1461?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x = -67*x + 103823. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -492, -494, -496, -498?\nAnswer: -500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3\/2, 15.2, -0.5 in descending order.\nAnswer: 15.2, 2, -0.5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/7? (a) -45 (b) 0.4 (c) -0.269\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 305\/14 + -85\/28. Calculate the common denominator of 12\/7 and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187*a + 193*a + d = 65022, -2*a + 21674 = -2*d. Is a a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/92 - -13\/138. Calculate the common denominator of p and (-5)\/(-2) + 1177\/(-726).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-65)\/(-78))\/(40\/12)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2 = f + 2, 3*b = 0. Let r be f\/12*0 + 30. Let t = -13 - -33. Calculate the highest common factor of t and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10027, 40586, 91517, 162820?\nAnswer: 254495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38928211 to the nearest integer?\nAnswer: 6239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 8)*(-7*u + 0*u + 2*u) - 1 + u + 1.\nAnswer: -19*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 20*m - 294. Let j be h(15). Solve -5*r + j = 3*g - 5, -3*r - 3 = 5*g for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 2. Suppose -w - 81 = -3*p, 155 = 5*p + w + 4*w. Let b = i + p. Is b a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/(-2) - -532) + -3. Suppose 36*o - r - 5 = 0. Solve -4*c - 4 = 2*b, -b - o = 3*b + c for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-53424)\/(-1696))\/((-16)\/(1024\/(-24)))?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 64\/7 in -10, -0.014, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -139\nAnswer: -27.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -372, -4, -5, -130, 4, -2 in decreasing order.\nAnswer: 4, -2, -4, -5, -130, -372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 40*n - 36*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 + 36*b**2 + 9*b**2.\nAnswer: 46*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32063428?\nAnswer: 2, 17, 471521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 107*b**9\/42 + b**5\/20 - 9*b**4\/4 + 565*b**2. What is the third derivative of f(q) wrt q?\nAnswer: 154080*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 2*a + 64 = -2*a, 33 = 5*q + 3*a + 81 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*h**2 + 44*h**3 - 86*h**3 + 40*h**3)*(-4 - 3*h + 5*h + 2) to the form a*h**3 + v*h**4 + q*h + t + g*h**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000083853 rounded to 7 dps?\nAnswer: 0.0000839","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 5*u - 38 - 25, 0 = 2*y - 4*u + 58. Let i be (-1 + 2 - -1720001) + 38\/y. What is i rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, r: 3, m: 12}. What is prob of sequence mmr?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-140)\/105*(-1)\/(-2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of 0*v**4 - 5*v**3 + 0*v + 17\/60*v**5 + 0 - 4*v**2. Differentiate x(j) with respect to j.\nAnswer: 34*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11.2 and -87.\nAnswer: -75.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 109 + -122.8. Let j = -14 - s. Let q = -4.99 + -0.01. Which is greater: q or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11537690443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -421.2, 1, -0.01, 8.\nAnswer: -421.2, -0.01, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/403378 and 103\/18.\nAnswer: 3630402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 8, t: 3, f: 5, o: 1, b: 3}. Give prob of sequence tllo.\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p + 21. Let h be t(-19). Suppose h*v - 48 = -2*x - 2*v, -90 = -3*x + 3*v. What is the least common multiple of x and 2 - 3 - (-14 + 1)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 22*6\/(-60) + (-8)\/10. What is the least common multiple of 296\/32 + j\/(-4) and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/50276432?\nAnswer: -3\/50276432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12802067519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 2 - (2 - (7 - -2))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 0.41 (c) 1\/650 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.14, 0.4, -0.3, 29, -59, 2?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2604 and 3.\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**3 + 2180739*p**2 - 45794490*p + 213706248 = 0.\nAnswer: 7, 14, 726892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2030*u**2 + 26*u + 56. Let t(k) = -4059*k**2 - 52*k - 114. Let s(x) = 5*c(x) + 3*t(x). Find the second derivative of s(j) wrt j.\nAnswer: -4054","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26777.25238 + 26777. What is s rounded to three decimal places?\nAnswer: -0.252","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -151*u**2 + 222*u - 115. What is m(1)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -326 > -327?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180, -315, -400, -435, -420?\nAnswer: -355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 24*b**2 + 13*b + 29. Let p be x(-4). Suppose 9*i + 4*w - 579 = 4*i, 3*i = w + p. Is i a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -33, -28, -21, -12, -1, 12?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/2*(1 - -2)*-1. Solve 0 = -3*u - y, 5 - 8 = -3*t + u for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5022988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1435648 - -22978629\/16. Let b = f + -516. Find the common denominator of -17\/4 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 3*x - 6. Let d be y(4). Let i be (-97198)\/(-9) + d\/(-45). Round i to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18969781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -129670 rounded to the nearest 1000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -809 (b) 2 (c) -0.07 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 220 and 70780?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 11:39 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) + sqrt(1377) + 1 + 0)**2 - (2 + (sqrt(17) - (4 + sqrt(51)\/sqrt(3))))**2) + 1.\nAnswer: 36*sqrt(17) + 5506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 7*q - 88. Let i be j(-14). What is the second biggest value in -2\/3, 0.3, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2840*r + 16. Let m(o) = -1263*o + 7. Determine 9*k(d) - 20*m(d).\nAnswer: -300*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-73 - -36 - -40) + 2 + 11.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 653?\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**4\/7 + 49396*h**3\/7 + 49410*h**2\/7 - 296388*h\/7 = 0.\nAnswer: -3, 0, 2, 24699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 16523360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 + 465*z + 14652. Give s(-195).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 16*r - 28. Determine n(-17).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 5*i + 27, 2*i + 4*n = -3*i - 26. Let g = i + -5. Is g*(2 - 3) + 2 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 - 2*y - 3. Let j be q(-3). Suppose 33*m - 654 = 633. Suppose 0 = -w + 3*n + 2*n + m, w = -n + j. Is w > 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 4582, 0.3?\nAnswer: 4582","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -158, -312, -466, -620, -774, -928?\n\"Answer: -154*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -191.\nAnswer: 2\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n + 10 = 16*n + h, -6 = -3*h. Solve 3*a = 3*a + n*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130662 (base 10) to base 4.\nAnswer: 133321212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81 divided by -17.\nAnswer: 81\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 + 40. Solve t = u*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 5 - 4)*(46*n - 46*n + 4*n**3) + 761*n**2 + 19*n**3 - 761*n**2 - 2*n**2 + 2*n**2 + n**3 to b*n + x*n**2 + l*n**3 + q and give l.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242647 is divided by 422.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000322 to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and -6658.76.\nAnswer: -6658.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 44\/5 of a millennium?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and 144740473.\nAnswer: 144740475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -209, -15, -514 in ascending order.\nAnswer: -514, -209, -15, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 15\/4*t**3 + 1\/4*t**4 + 13\/4*t**2 - 7\/2 - 15\/4*t = 0.\nAnswer: -14, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 9*z - 1. Suppose m - 22 = -p - 3*p, 2*p = -4. Let u be (m\/(-21))\/((-2)\/14). Let w be (-15)\/u*-2 + -4. Calculate j(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 4. Let p = 3 - q. Suppose -2 = -p*r - 6. Sort -5, r, -3 in descending order.\nAnswer: r, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -19*s**2 + 11*s + 12. Let i(r) = r**2 - r - 1. What is 2*a(n) + 22*i(n)?\nAnswer: -16*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -480.1 * -1\nAnswer: 480.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 455 divide 97163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s. Let x(h) be the first derivative of -13*h**3\/3 + 39. Give x(u(g)).\nAnswer: -117*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 78*s**2 + 339*s + 306. Let l(h) = -h**3 - 250*h**2 - 1017*h - 918. Let j(c) = 3*l(c) + 10*n(c). What is d in j(d) = 0?\nAnswer: -6, -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1698925987 to the power of 1\/4, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3761450 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 + -6. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/46982310 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, -24, 206?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**4 - 5*o**3 - 5*o**2 + 5*o - 2. Let m(d) = 2*d**4 - 6*d**3 - 6*d**2 + 6*d - 3. Let t(b) = 5*m(b) - 6*u(b). What is the derivative of t(r) wrt r?\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275*a + 338*a = 30240. Is 5 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 + (0 - -4) + -3 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 287*t - 492*t - 235*t to z*t + s and give z.\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pc when two letters picked without replacement from {g: 1, c: 1, p: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 56, 111, 166, 221?\n\"Answer: 55*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19230 - 8713. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2569604*i**2 + 856480*i**2 + 856568*i**2 + 856560*i**2.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 472955866?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 u when two letters picked without replacement from mhuwxhjxwwjmwu?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -23*t**3 + 29*t**2 - 2945*t - 264. Let v(c) = 8*c**3 - 10*c**2 + 982*c + 91. Determine 10*h(n) + 29*v(n).\nAnswer: 2*n**3 - 972*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22678349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26\/3, -5, 2\/7, 1 in increasing order.\nAnswer: -5, 2\/7, 1, 26\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/74 (b) -31 (c) 0.1 (d) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 - 143 + 16*q + 143)*(-1 + 2 + 2*q - 3).\nAnswer: -4*q**3 + 36*q**2 - 32*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0*a = -11*a. Is -1\/24 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millisecond in microseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 304708 or 304699?\nAnswer: 304708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3, -3*u + 4*v = v - 18. Suppose -3*r - 5*l + 3 = -2, r = -l + u. Solve -3*i - r = -2*t, -3*t = t + 4*i for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 17*o + 3. Let x(u) = u**3 - 5*u**2 - 6*u + 5. Let q be x(6). Suppose q = y + 1. What is the tens digit of c(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23*o**2*s - 2*o*s + 2064*s wrt o.\nAnswer: -46*o*s - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**5 + 45*q**4 + 180*q**3 + 55*q**2 - 78*q = 0. What is q?\nAnswer: -3, -1, 0, 1\/2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -1. Let q(l) = l - 253. Let c(o) = 6*k(o) - q(o). Is c(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 13 (b) -0.04 (c) 0 (d) -3 (e) 0.19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, 1\/3, 0.8, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -4 + (-13 - -7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54193*i - 7722 with respect to i.\nAnswer: -54193","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*l - 10*l - 176. Let r(h) = -h + 85 - l + 90. What is the remainder when r(-20) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 225400a (base 11) to base 9\nAnswer: 7370738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 57, 50, 37, 18, -7, -38, -75?\n\"Answer: -3*g**2 + 2*g + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235*t - 131*t - 225*t - 139*t - 363*t.\nAnswer: -1093*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/4 - 136*s + 67423\/4.\nAnswer: (s - 353)*(s - 191)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**2 - m + 30 + 24 + 16*m = 0.\nAnswer: -3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 18*d**2 - 6160251*d + 7186935 = 0.\nAnswer: 7\/6, 342235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -7099 at least -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(1\/7))\/(d**(-1\/5)*d))\/(d\/((d**(4\/5)*d)\/d)*d\/(d\/(d*d**(-6)))) assuming d is positive.\nAnswer: d**(34\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + (-8)\/(-7))*(-3)\/6?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15860128369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/((-14500)\/6370) - -11)*(-4 - -3 - -3).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6371171 is divided by 67777?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of y**5\/60 - 3*y**4\/8 - 5*y**3\/6 + 4*y**2. Let b be c(10). Solve 4*t = -2*w - 33 + 3, b*w + 35 = -2*t for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/11? (a) -11 (b) 5 (c) 4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-1)\/3*9\/18?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6266 and 86234138?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5714 = -257*j + 7770 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*q - 66*q + 70 = 0. Is q >= 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30855132299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-15) - 1)\/(99\/33)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -442.942336 to the nearest 10.\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(931) + 3 + sqrt(931) + sqrt(931) - sqrt(931))**2 + -3)*3 + -1 + 5.\nAnswer: -67136 - 1512*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297)*-3*-2)\/sqrt(11) - ((sqrt(216) + -2*sqrt(216)*-5)\/sqrt(8))**2.\nAnswer: -3267 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-2) + (-2 + 1 - -1). Suppose 4*a + g*i = 9792, -3*i - 9209 = -3*a - 1835. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(117)*-4 - (sqrt(117) + -1*sqrt(117))*-4)*-6 + -1*(sqrt(208) + -1 + -1*sqrt(637)))**2.\nAnswer: 294*sqrt(13) + 280918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**8)**(-15\/7) assuming h is positive.\nAnswer: h**(-120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.52752 plus 10.6291?\nAnswer: 11.15662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -3*x**3\/4 + 71*x**2\/4 + 8*x - 32. Factor f(u).\nAnswer: -(u - 16)*(9*u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9523 less than or equal to 9510?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - 0*(-2)\/4. Let o = 46 - 46.4. What is the nearest to -1\/3 in 0.5, o, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j - 0*j + 917. Let r = 257 - j. Is r a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m*m**1)\/m))**(-6\/13)*m**(-2\/11)*m**(1\/7))**(2\/5) assuming m is positive.\nAnswer: m**(-6\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*v + 4*v - 250 = 0. Suppose -7*x - 24 = -v. Sort x, -12, -4 in decreasing order.\nAnswer: x, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-210)\/(-30))\/(-147)*35.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 30.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + d + 340 = 0. Suppose -3*w + 524 = 35. Let x = d + w. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17342484823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (247*v**2 - 133*v**2 + 146*v**2)*(11 + 16 + 10)*(1 + 1 - 4).\nAnswer: -19240*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-2)\/1)\/2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 - (7\/14)\/(2\/(-8)). Suppose -4*o = 3 + 5. Sort c, 3, o in descending order.\nAnswer: 3, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172603578.\nAnswer: 2, 3, 7, 587087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18.5 - 24.55. Let i = h - -3.3. What is i rounded to one decimal place?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 5:43 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 12:08 PM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -85ca - 10?\nAnswer: -860a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/17322282 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-5 + -1 + sqrt(12) + -5))**2.\nAnswer: -704*sqrt(3) + 2128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47160553?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllluuuulsru. What is prob of picking 1 u and 2 l?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*l + 2 = -16, 4*w - 28 = -4*l. Suppose -w*g + 5*g = 67. Let f = g + -27. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d - 192. Give f(23).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -112 - -218. Let n = m + -106. Suppose n = -6*b + 19603 - 2749. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 5:04 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 32320454?\nAnswer: 32320453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1092*v = -1129*v - 564 + 1748. Let j(c) be the first derivative of 2\/3*c**3 + 0*c**2 + 0*c - v. Let u(b) = 2*b - 6. Calculate j(u(w)).\nAnswer: 8*w**2 - 48*w + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -16. Let f = k - 11. Which is the closest to 2? (a) -2\/15 (b) -5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 567 in ascending order.\nAnswer: 1, 2, 567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2286\/(-63) + 162 + -128?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2848 + 2966. What is the greatest common divisor of 708 and h?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -2, -36 in increasing order.\nAnswer: -36, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -83 + -c4d?\nAnswer: -cd1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -22. Let h = 15 + x. Solve h*v = -3*v - 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, -0.5, 2\/17, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66 - -34) + (-1470)\/(-46)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*f - 33 + 33 + 24*f + 7*f + 22*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -357, -391, -499, -723, -1105?\n\"Answer: -7*w**3 + 5*w**2 - 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-5) + (-92019)\/185. Let z = 503 + v. Let w(r) = -2*r - 3. Let k be w(-3). Solve 4*h = -6*m + m - 8, 0 = 3*m - k*h - z for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1)\/o)**2)**(-7)*o**2\/o**4*(o*o**(2\/11)*o)\/o*o\/o**(2\/5) assuming o is positive.\nAnswer: o**(1528\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jl when two letters picked without replacement from {l: 3, y: 1, j: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xwn when three letters picked without replacement from {l: 1, w: 1, n: 2, x: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 932*j - 1 + 6107*j.\nAnswer: 7039*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.46992 litres to millilitres.\nAnswer: 33469.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6.919208 kilograms?\nAnswer: 0.006919208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 13*n**2 + 9*n - 16. Suppose -17 = 3*w + 1. What is the hundreds digit of v(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 2*p**2 + p + 4. Let u be h(3). Which is the closest to u? (a) -0.2 (b) 2\/7 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 424 + -422. Suppose 2*r - 1326 = -a*y - r, -5*y - 2*r + 3304 = 0. Calculate the highest common divisor of 55 and y.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (66\/165)\/(12\/550*-2). Let l = g + 599\/66. What is the closest to -1\/2 in -2, l, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -4. Suppose -2*m + 3*j - 77 = 0, -4*m - 130 = -3*j + 5*j. Let s = 203\/6 + m. Which is the nearest to 0.1? (a) y (b) s (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76819368?\nAnswer: 2, 3, 3200807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5*-485\nAnswer: -2425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**5*w*w))**11)**(-6\/7) assuming w is positive.\nAnswer: w**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -12. Suppose 2*n = 5*n. Let w(g) = 0*g - k*g**2 + n*g + 0*g. Let l(j) = -2*j**2. Calculate l(w(p)).\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4\/9, -1, -5 in decreasing order.\nAnswer: 0, -4\/9, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 2541834\nAnswer: 1\/2541834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -242, -813, -1854, -3503, -5898, -9177, -13478?\nAnswer: -18939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 1036.\nAnswer: 3\/518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) - sqrt(252)\/sqrt(144))\/((sqrt(4) - sqrt(16))*-2) + (sqrt(252) + sqrt(7))**2*6 + -6*((1*sqrt(7))**2 + sqrt(7)).\nAnswer: -45*sqrt(7)\/8 + 2016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3*(3\/(-9))\/(16\/(-9632)) is divided by 278.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 273 - 270.48. Let l = -3.16 - s. Round l to 1 dp.\nAnswer: -5.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*c - 0*c. Put 1, c, 4, -4 in ascending order.\nAnswer: -4, c, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 8\/105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 1:45 PM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58 and 27105082?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i + 1 + i**2 + 17*i**4 + 38*i**4 - 67*i**4 to v*i**4 + n*i + w*i**2 + c + a*i**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010001000101001 - 11?\nAnswer: 1010001000100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v = -11*v - 2*k, 0 = -k + 1. Is v bigger than 1.95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 - 36. Suppose 0 = 5*z + 4*y - 158, m*z + 3*y = 2*y + 122. Suppose -z*u = -33*u + 921. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.057 and -0.116.\nAnswer: 0.006612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 15 and 30.7?\nAnswer: 15.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 265440 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -11. Suppose 30 = u + a*u. Solve -u = w - 4*m, -3*w - 2*w + 16 = 3*m for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -6742*a + 6720*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9366955 and 265?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 10 = 5*w + a, a = -5*w - 6. Let g be w\/(3\/1 + (-50)\/16). Solve 0 + g = 4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 4*a**5\/9 - 22*a**4\/9 + 34*a**3\/9 + 4*a**2\/9 - 40*a\/9 + 16\/9 = 0?\nAnswer: -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 12:24 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000017422152 to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1788 + -1039. Let l be (-19)\/3 + g\/107. Which is the nearest to l? (a) -1\/3 (b) -1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0066 + 0.226. What is r rounded to 2 dps?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 356 = -8*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 3 + 63 = 0. Suppose -r*n + 3086 = -8*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -399 + 402. What is the third derivative of -p**l + p**3 - 42*p**2 + p**4 - p**2 wrt p?\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41.926 - 0.626. Let q = b + -41.7. What is the nearest to -2 in -5, q, -1\/6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -21. Let c = 8.2 + u. Is 0.2 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 255 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.1 * -251.\nAnswer: -778.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10490 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 442387?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 10 = -3*l, 0*q + 26 = -3*q + 5*l. Let o(n) = -n**3 - 6*n**2 + 7*n + 5. Let k be o(q). Solve -5 + 0 = -c + k*u, -7 = c + u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274450 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -312 greater than -311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 198154192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 813?\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence usk when three letters picked without replacement from {s: 11, k: 3, u: 1}?\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6.1 * 2282\nAnswer: 13920.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/40 - -3\/8. Let d = -0.5 + 2.5. Which is the closest to y? (a) 0 (b) -2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 1488 = -y, -2*y = 2*y + 5*p - 5827. Suppose -5*k - y = -6493. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2004*2\nAnswer: -0.4008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u = -16*u + 1992. Suppose -3*n - 570 = -3*w, 1398 = -5*n - 5*w + u. Round n to the nearest 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/14)\/(156\/(-4368))*1\/(-1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**6 + 174*h**4*v + 7268*h**4 - 7197*h**2*v + 5*h + 18 wrt h.\nAnswer: 240*h**3 + 4176*h*v + 174432*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, 10042 in decreasing order.\nAnswer: 10042, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = k. Let o = k + 5. Let n(g) = -4*g - 2*g + o*g. Let s(d) = -d. Give s(n(c)).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -188, 0, -212.\nAnswer: -212, -188, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2538721362 to the nearest integer?\nAnswer: 1364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 42*g - 647. Is y(38) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, j: 6}. What is prob of sequence ssjj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -89747 or -89548?\nAnswer: -89548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m + 5. Calculate g(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 774 and 292392?\nAnswer: 12572856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1926)\/27 + 2\/(-3). Let w = 70 + s. Let n(p) = -p**2 + 3*p**2 + 4*p**3 - 2*p**3 - 3 - 3*p. Give n(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 8233372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 70870.7 to the nearest 100.\nAnswer: 70900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a kilogram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 8400452?\nAnswer: -8400457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-12))\/((-2)\/(-8))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 16) to base 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.71 + -5.2. Let m = f - -0.5. Let t = 926.6 - 927. Which is the biggest value? (a) t (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 543538141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 6) to base 4\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8169313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-14))\/(w*w**(11\/5))*((w*w**(-5))\/w)\/(w*w\/(w\/w**(-4\/23))) assuming w is positive.\nAnswer: w**(-2533\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10368 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - d - 4)*(77 - 31 - 5*d - 44).\nAnswer: 5*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(117) - (sqrt(117) - -1*sqrt(117) - sqrt(117)))*5)\/(2*sqrt(729)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122300352 (base 6) to base 2.\nAnswer: 1000111111010000101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 0.5, 0.3, -38\/3, 4\/7, 2, -205?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - -7. Calculate the lowest common multiple of d and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42363939 is divided by 37.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 1:15 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, x: 2, k: 2, t: 1, l: 2}. What is prob of sequence lx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(sqrt(8) - (sqrt(8) - -4*sqrt(8)*3)) - (sqrt(19) + (sqrt(1216) + 2)**2)*1.\nAnswer: -1220 - 397*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -174 + 6*y + 219 - 138 + 8*y. Calculate o(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2613\/248 + -222\/31. Calculate the common denominator of b and 41\/4725.\nAnswer: 37800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*sqrt(343)*-1 + 5 + (-4*sqrt(343))**2.\nAnswer: 7*sqrt(7) + 5493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -171*w**2 + 193266*w - 40656. Determine s(1130).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 16, 5, 3, 2, -7 in descending order.\nAnswer: 16, 5, 3, 2, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -21 + 9 + 0*b - 27 - 3*b. Let f be h(-14). Is (-26800)\/(-140) - f\/7 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-349*n + 24 + 707*n - 347*n)*(-3 + n + 3)*(9 + 1 - 2) to x*n**2 + t*n + b and give x.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*s - 101*s - 2*s + 34*s + 13*s.\nAnswer: -96*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -179 divided by -119992\nAnswer: 179\/119992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 136*w**2 + 32*w**2 + 36*w**2 - 70*w**2.\nAnswer: 134*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 166 - -5?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**4 - 33308*c**3 - 33432*c**2 + 999072*c + 2398464 = 0. Calculate c.\nAnswer: -4, -3, 6, 8328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.466 + -0.466. Let g = -0.026 - -0.146. Let r = g + -0.15. Put 1\/2, x, r in decreasing order.\nAnswer: 1\/2, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1571*s + 1474*s - 2927*s)*(3 + 4 - 5)*(5*s**2 + 0 + 0).\nAnswer: 1180*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -6*f**5\/5 + 5*f**4\/4 + 155*f**3\/3 + 308. What is the third derivative of r(m) wrt m?\nAnswer: -144*m + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -7 - 8 - (-18 - (-47 + (-3 - -14)))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 21, 13, -76 in increasing order.\nAnswer: -76, 4, 13, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -0*x. Let b = 3234 + -3233. Sort -0.3, x, 2\/17, b in increasing order.\nAnswer: -0.3, x, 2\/17, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55702, -111457, -167212, -222967, -278722?\nAnswer: -334477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1265 and 874.\nAnswer: 48070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from btttbtbtbttbt?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196131331.\nAnswer: 11, 41, 434881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 1.1, 0, 2, 0.02?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 1 - (-37 + (70 - 38))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23169980?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/((c**2*c)\/c*c)))**13*c*c**(2\/9)*c*c**(-12) assuming c is positive.\nAnswer: c**(263\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(392)\/(sqrt(28)\/sqrt(4)))\/sqrt(8).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and 2759.392985?\nAnswer: 2759.292985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 12*v**2 - 2*v - 45. Let k(i) be the second derivative of 2*i**4\/3 - i**3\/6 - 15*i**2 + 14*i. Let l(j) = -7*k(j) + 5*w(j). Is l(-3) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1714280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-20 + 15 + 13)*(4 - 1 - 1) + (-3 + 0 + 1)*(0 + 2 - 3))*(1 + r**2 - 1) as z*r + w*r**2 + b and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -i**2 + 0*i + 7\/6*i**3 + 0 - 1\/24*i**4. Calculate w(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.4 - -0.3.\nAnswer: 7.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 - 18. What is the highest common divisor of s and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 137*u + 3492. Determine j(-32).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g + 19 + 3*g - 41 + 17. Let c(m) = -m + 3. Let y(v) = 5*c(v) + 2*w(v). What is y(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*k + 12. Solve 3 + 13 = k*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -42 and 0.64?\nAnswer: -26.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*l - 4*u - 1164, -4*l + 4*u = 1192. Let h = -291 - l. Solve -c + h = -d, -3 = 3*d + 3*c - 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -136*v**2 + 273*v**2 - 1046 - 139*v**2 - 33*v - 5452 + 261*v = 0?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/10 of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + o = -443, 3*o = -14*t + 9*t + 729. Find the second derivative of -7*y**2 + 68*y**2 + 79*y**2 + 1 + t*y - 126*y wrt y.\nAnswer: 280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - r - 19, 622 + 293 = -305*r for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 24*b**3 + 13*b**2 + 53*b - 440. What is the ten thousands digit of c(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 125 + 3?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5501?\nAnswer: 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5109 + -5109.06574. What is h rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1851 + -1849. Solve 115 = -21*f - z*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 + 868 = p. Suppose 3*m = 3*i + 2146 - 2086, -5*m = -2*i - 76. Calculate the lowest common multiple of p and m.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33000\/(-9680) - (-10)\/11 - (0 - 828\/(-8))?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/198*11)\/(5\/(-3)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -656964244295?\nAnswer: 656964244294.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3 + 1646332*c**2 - 338763262968*c - 15586593929712.\nAnswer: -2*(c - 411606)**2*(c + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 8:23 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/18*(-8)\/(-16).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1448910 is divided by 987.\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -76*f - 1211. Let o be b(-16). Solve 61 = o*m + 51 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 6*c**2 - 3*c - 7. Let s = 2 - 3. Let u be s*(-5)\/(15\/(-18)). Let y be p(u). Round y to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(-1 + (7 - 31)). Find the common denominator of -17\/42 and n\/24 - (-15 + 19).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17869141 divided by -1.\nAnswer: -17869141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l**2 - 125*l + 125*l.\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/6)\/(-3 + (-70)\/(-24)). Suppose 12*t = 192 - 144. Suppose -f - 8 = -3*f. Solve -t*j = x + 21, -2*j + f*x = 2*j - c for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26525b (base 12) in base 16?\nAnswer: 9a127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a factor of 742989242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*11\/308*((-20956)\/(-155))\/(-13)?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-801)\/(-63) + 11 - (-288)\/(-168). Suppose 0 = 2*i + 3*k + 2*k - 1075, 3*k + 1115 = 2*i. What is the highest common divisor of a and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 14*t - 99. Let n(l) = -5*l + 35. Let b(m) = -17*n(m) - 6*o(m). Let k(d) = -d**2 + 4*d - 1. Give 4*b(i) - 2*k(i).\nAnswer: 2*i**2 - 4*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-5)\/((-315)\/(-864))\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/3, -8, 1\/5, -1, -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s**2 - 42*s + 3. Let k be j(-14). Suppose -k*b + 5*b = 126. What is the highest common divisor of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -211 (base 3) to base 4\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.138422 from 4.3.\nAnswer: 6.438422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-366748)\/(-9) - ((-48)\/(-27) + -2). Suppose 0 = -12*g + u - 6034. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -225, 1702, 6939, 17142, 33967, 59070?\n\"Answer: 276*f**3 - f**2 - 2*f - 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 360190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1*(2 + sqrt(176) + 5) + (-3 + -1 + sqrt(176) + sqrt(176) - (5*(sqrt(176) - 2*sqrt(176)) + sqrt(176) - sqrt(176) - sqrt(176))))**2 + 0).\nAnswer: 216*sqrt(11) + 14265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3105*g**3 - 3111*g**3 + 6218*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 8205 = 2*l - 6*l, l = t - 1641. Suppose 9*h - t = 429. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6816, -13638, -20450, -27246, -34020, -40766?\n\"Answer: w**3 - w**2 - 6826*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -0.2, 17259?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 18*a - 326. Let t(f) = -f**2 - 176*f. Calculate t(j(v)).\nAnswer: -324*v**2 + 8568*v - 48900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9865 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -4*v**3\/3 - 3*v**2\/2 - 97*v. Let d(y) = y. Calculate d(j(q)).\nAnswer: -8*q - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -338*x**7\/21 + 1481*x**3\/6 - 442*x. Find the second derivative of w(p) wrt p.\nAnswer: -13520*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.89 - 0.11. Let l = -9 - r. What is the closest to l in 2\/3, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 218.767365 and 855.\nAnswer: 1073.767365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1054?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 6*m**2 - 7*m + 23. Calculate j(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 4 + 3 + -13?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of l**4\/12 + l**2 - 2*l + 1. Let i(z) = -z**2. What is i(x(q))?\nAnswer: -q**4 - 4*q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -40738 in descending order.\nAnswer: 5, -3, -40738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 0 - 1) + 321. Let v(y) = y**3 - 5*y**2 + 6*y - 2. Let f be v(4). Is w\/6 - f\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -aa6 (base 13) to base 11\nAnswer: -1410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f**3\/3 - 19*f**2 + 47*f - 124. Let y be s(37). Solve -3*a + 7 + y = 4*j, -j - 1 = -a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 + ((-24)\/(-16))\/(1\/2) is divided by 41.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-4)*4*37499988. Suppose -h + 2*g - 561666 - 11938328 = 0, -3*h + 4*g = w. What is h rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -16\/7, -3, -5, 2, -16, 20, 1?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((0 - -4) + 1 - (245 - 246)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 63536.22ms?\nAnswer: 63536220000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8663 is divided by 324?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 10*y**2 + 12*y + 13. Let h be r(-11). Which is bigger: h or -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 2*r = 12, -42 = f + 2*r - 38 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 64551919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001 times 3.5?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -960 and -15148039.\nAnswer: -15148999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**3 + 4*v**2 - 4*v = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5295, 9206, 15723, 24846?\n\"Answer: 1303*z**2 + 2*z + 3990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2130.7595 + -2348.6201. Let b = 4573.36 + g. Let m = b + -94. Round m to three decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z - 4*z + 5*z)*(3*z + 4*z - 29*z)*(-9*z**2 + 6*z**2 + 4*z**2) to p*z**4 + l + a*z**3 + v*z**2 + y*z and give p.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -10*r - 205. Let p be z(-21). Let y be (-5)\/(-7) - (-6)\/21. Let g(o) = -2*o - o**2 - y - 1 + 6 + p*o. Calculate g(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b762 (base 13) in base 15?\nAnswer: -10ee6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -64*g**2 - 2*g + 2. Let x be i(-11). Let c = x + 13499. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.52 + 0.92. Which is the third biggest value? (a) 5 (b) r (c) -1\/8 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11372 is divided by 1319.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10880705 greater than 10880709?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 3)\/((-4)\/(-14)). Let u = h + 7. Suppose 3*y + y + 8 = 0. Is u greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2215401?\nAnswer: 3, 619, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 8:05 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 2 (c) 0.01649 (d) -12 (e) 202\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 3*y = 10, -6*m = -2*m + 2*y - 8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/5759?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2252370927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(-6)*7088\/(-23036)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 17*n**2 + 9*n + 155. Does 6 divide a(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 161 - 155 - n**3 - 5*n + 749. What is the tens digit of x(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16393.\nAnswer: 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/8)\/(1\/22). Let m be 4\/n + (-81)\/(-99). What is the lowest common multiple of 14 and (-6)\/(-1) - m - 1?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 68*y**2 - 598*y - 768. Give k(76).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 1768*j - 2*j**2 - 1786*j + 8 = 0. Calculate j.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 11*l - 3. Let c be z(9). Suppose -g + c + 9 = 0. Suppose 5*s - g = 6. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*c**3 + 193 - 4*c - c**2 - 2*c - 150 + 3*c - 82 as q + h*c + b*c**3 + f*c**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0.067, -29?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 802136729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + -12 + -52 + (-110 - -257).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 7 + 1 + 1)*(39*l + 108 - 108).\nAnswer: -39*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 48 - 2 - 1\/(-1). Let v = 66 - c. Let f = -1167 - -1204. What is the remainder when f is divided by v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 43. Let g = p - -45. Does g = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*r**3 - 80\/7*r**2 + 650\/7*r - 1500\/7.\nAnswer: 2*(r - 30)*(r - 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-145)\/(-4) - (-1)\/(-4). Suppose -v - 4*d + 7 = 0, 2*d = -1 + 3. Suppose -v*z = -2*z - i. Is z a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2283, -2246, -2207, -2166, -2123, -2078, -2031?\nAnswer: -1982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 1. What is the lowest common multiple of n and (0 - 36)\/(-4) - -2?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 486 - 404. Let c = 137 - 1780\/13. Calculate the common denominator of (42 - j) + (-8 - 1) and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - z = -417710. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -0.1 (c) 305 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -133\/420690 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 8:01 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 bigger than 94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 439 + -335. Suppose x = 5*t + 14. Solve -2*f - 4*f = t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 62, 237, 528, 935, 1458, 2097?\n\"Answer: 58*o**2 + o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 176228 + -176216. Let v(p) = 45*p + 3. Let g be v(5). Calculate the highest common factor of s and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (62 - 55) + (-23 - -23) + (-10 - 0) + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -58.3 - -58.8. Which is the closest to -25? (a) 0.03 (b) i (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -192*g**2*v + 12355633*g**2 - 230*g*v + 11*g + 627*v wrt v?\nAnswer: -192*g**2 - 230*g + 627","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 13 = 4. Suppose u*i = -2*l + 15 - 4, l = -5*i + 9. Suppose l*s = -5*h + 30 + 5, 4*s = 20. Solve g = h*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -414*u**4 - 3548 wrt u?\nAnswer: -1656*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u + 2. Let l(p) = p + 1. Suppose -2*b + b = 0. Suppose b*m + m = -1. Let c(x) = -x + 2. Let y be c(m). Determine y*l(n) - w(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 94 - -41. Let y be ((-2)\/(-6))\/(10\/x). Let p(c) = -c**3 - 5*c**2 + 4. Let g be p(-5). Is y smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 2*o - 10. Let a be g(5). Solve -a = -h - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17174 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10445, 10436, 10439, 10460, 10505, 10580, 10691, 10844?\nAnswer: 11045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42\/121 and -71\/33.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1133.\nAnswer: 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 1 + (1 - -1). Which is the third biggest value? (a) g (b) -2 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265 - 135 - 125 - 111*z + 113*z + 38*z**3.\nAnswer: 38*z**3 + 2*z + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uiuunuunnniniinn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -60 - 2?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -2, -53, -52, 24 in increasing order.\nAnswer: -53, -52, -5, -2, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16223987.\nAnswer: 13, 41, 61, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/10*f**2 + 373321\/10 + 611\/5*f.\nAnswer: (f + 611)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -1. Let h be (2\/(-24))\/((-12)\/38). Let x = h + -1\/24. Which is the closest to 2\/5? (a) k (b) -4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k + 13. Let l(g) = g**3 + 6*g**2 + 6*g - 4. Let v be l(-3). Suppose v = 3*o - 2*o. Let c be r(o). Solve -1 - 2 = -3*y, c*a + 19 = 4*y for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v - 12. Let c be s(-4). Solve c = -2*b - b - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -956.1 - -1026. What is a rounded to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 830 bigger than -662565?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**9\/30240 + i**8\/2016 + i**7\/360 + i**6\/120 - i**5\/15 + 4*i**2. Let g(m) be the third derivative of f(m). Factor g(x).\nAnswer: 2*(x + 1)**2*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81414 by -6.\nAnswer: 13569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**3 + 12716*z**2 + 25444*z + 12724 = 0. What is z?\nAnswer: -1, 3181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 934 - 937. Let n(l) = -l**2. Let w(p) = -p**2. Give g*w(x) + 2*n(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1081, -4249, -9377, -16339, -25009, -35261, -46969, -60007?\nAnswer: -74249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 34*z - 118. Calculate w(-4).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/13)*x)**(-49) assuming x is positive.\nAnswer: x**(-735\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {c: 2, b: 3, w: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 955271?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4842*k**3 + 2424*k**3 + 2412*k**3.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afffaddfpfff. Give prob of picking 1 p and 1 f.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 7 - 5 = 0. Let x be (1 - 2)*15\/p. Solve x*y - q = 5 + 5, 3*y + q = 14 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(91) - (2*sqrt(91)*-1 - sqrt(91)))\/(sqrt(84)\/sqrt(48)))**2*-5.\nAnswer: 8320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6272 - 6279) + -2 + -1 + 3 + -15.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 11. Sort -4, r, -5 in descending order.\nAnswer: r, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -900 = -5*m - k, 0 = k - 22 + 17. List the prime factors of m.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 3:22 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2534 is divided by 181.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13302 (base 4) to base 16.\nAnswer: -1f2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*f**3 + 17*f + 7*f**3 + 876*f - 9*f**3 as m*f**2 + o*f + i + n*f**3 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 846 = 8505. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 3456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 33784844 a multiple of 382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 59*z - 161. Let r be m(10). Let c = -393 + r. What is the greatest common divisor of 468 and c?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/3 (b) -2\/13 (c) -46.3692 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -3)*38\/(-285).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4 - 270*r**3 + 6336*r**2 - 11616*r.\nAnswer: 3*r*(r - 44)**2*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7694, -9919, -12156, -14405?\n\"Answer: -6*w**2 - 2207*w - 5481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**3 - 2*f**2 - 3*f + 2. Let q(o) = o**2 + 4*o. Let u be q(-3). Calculate the remainder when c(u) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 1232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2010 + 12002?\nAnswer: 2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132734 is divided by 6986.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 95 + -100. Let z = -5 - -7. Sort z, 12, h in ascending order.\nAnswer: h, z, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -0.1580653, 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 298989761?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**2 - 2 - 34*r**4 - 5*r + 7*r + 3 + 52*r**4 - 166*r**3 - 19*r**4 in the form c*r**4 + z*r + v*r**2 + i*r**3 + b and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -2. Suppose v = -2*g + 5*g - c - 16, -2*c + 10 = 0. Solve 2*n - g*n + 2*q - 20 = 0, -4*n + 2*q - 18 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44075*-10\nAnswer: -440750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44382 by 14794.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u = 16*u - 4. Suppose 5*t = f + 200, t - u*f = -3*f + 46. What are the prime factors of t?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30472920 and 705?\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3\/4 + 3\/20. Let j = -1 - -7. Suppose 2*b + 0 - 3 = -5*l, 0 = -2*b + 4*l - j. Is p greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 11 - (-1 - (-4 + 3) - 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -2 + -8 + 3 + 8 - -7\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(3*(-2)\/(-33)). Suppose -13*u + 26 = -0. Put 4, u, b in decreasing order.\nAnswer: b, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 5\/9*f**2 + 2\/3*f**3 - 10 - 2\/45*f**5 + 0*f + 1\/6*f**4. Factor t(c).\nAnswer: -2*c*(c - 5)*(c + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-60)\/16)\/(2\/8). Let k be (-9)\/z - 141\/(-15). Solve 0 = h + 4*h + k for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 530083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -215 less than 727?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 7*j - 38. Let v be (-2)\/(-3 + (j\/3 - 4)). Sort v, 5, -1\/9 in increasing order.\nAnswer: -1\/9, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z - 3. Let a(f) = 5*f**2. Calculate a(p(d)).\nAnswer: 20*d**2 - 60*d + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - x + 4*v + 2634 - 2598, 0 = -2*x - 18*v - 20 - 2 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(176)\/(sqrt(4) - (sqrt(4) - sqrt(16))))\/(1*(sqrt(4) - (sqrt(144)*-1 - sqrt(4)))).\nAnswer: -5*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 682, 2697, 6050, 10741, 16770?\n\"Answer: 669*d**2 + 8*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12912, 103237, 348414, 825873, 1613044, 2787357, 4426242?\n\"Answer: 12905*n**3 - 4*n**2 + 2*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20532.9353 - -20533. What is the nearest to i in 3\/8, -3\/2, -5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25880940 and 1725396.\nAnswer: 25880940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 13*n**4\/4 - n**2\/2 + n - 2. Let z = -18 - -19. What is the tens digit of p(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 426, 127, -1622, -5547, -12374?\nAnswer: -22829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 88483\/20043 - 610\/131. Let i = w + 6\/17. Let g = 17.5 - 17. What is the biggest value in 1, g, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -198*h*p**2*t - 6*h*p*t + 19*h*p + h - p**2*t - 7*t wrt p?\nAnswer: -396*h*t - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.9 + 3.56. Let u = h + 0.3. What is u rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 84231662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -101.5496 and 4917373?\nAnswer: 4917474.5496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + v**2 - v - 1. Let i(d) = -7*d**3 + 2*d**2 - 3*d - 4. What is -4*h(y) + i(y)?\nAnswer: -3*y**3 - 2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*r**2 + 40*r**2 + 1 - 24 + 3 + 45*r.\nAnswer: -5*(r - 4)*(2*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sevenths of a week in days?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 8\/17 (b) -0.4 (c) 0.5 (d) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 5. Let q be (-2)\/6 + (-2)\/(-6). Let s be r(q). Let l = 42 + -38. Solve -l*u + 24 = k + 4*k, 0 = -s*k + u + 19 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -11*g**3 + 8*g**2 - 6*g - 7. Suppose -2*b - n - 51 + 63 = 0, 5*b - 4*n = 56. Let c(h) = -7*h**3 + 5*h**2 - 4*h - 5. Give b*c(p) - 5*r(p).\nAnswer: -p**3 - 2*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 n, and 1 z when three letters picked without replacement from {n: 1, x: 3, l: 2, z: 2, o: 10, f: 2}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + s - 2. Suppose -4*g = -1 + 9, -5*g - 10 = -5*v. What is l(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -1, 28, -2619, -30 in increasing order.\nAnswer: -2619, -30, -4, -2, -1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d. Let j(m) = -82*m**2. Let o be ((-9)\/(-4))\/(9*(-3)\/(-72)). Let a(q) = -27*q**2. Let x(f) = o*j(f) - 21*a(f). Give x(g(v)).\nAnswer: 300*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11312 (base 4) in base 7?\nAnswer: -1043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z - 2*z + 4*z)*(1 - 1 + 2)*(-8841*z - 22391*z + 14362*z) as c + o*z + r*z**2 and give r.\nAnswer: -33740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a microgram in nanograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = -5*i + 2*i. Let d = 33 + i. Let w(u) = u**2 - 4 - 6*u + d*u - 5*u. Determine w(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170292 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 11 = -z, 4*z + 3*o - 6*o - 7 = 0. Suppose 0 = l + z - 52. Let w = 92 - l. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10434 is divided by 299?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 20*n + 92, -240*d = -3*n - 235*d + 31 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 5*g - 4*g)*(3 + 3 + 2)*(-1 + 4 - 2).\nAnswer: -16*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 0*w - w**2)*(-22*w**2 + 37*w**2 - 37*w**2).\nAnswer: 22*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*m**4 - 51*m**3 + 60*m**2 - 12*m.\nAnswer: 3*m*(m - 2)**2*(4*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m = -3*b + 16*m + 7977, 0 = -2*b - m + 5311. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*3.8937276.\nAnswer: 19.468638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x**2 + 2766*x - 1576 = 0. What is x?\nAnswer: 4\/7, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 981 - 980. Sort s, -4, -62.\nAnswer: -62, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -f - 3*a + 12, -3*f + 2*a + 8 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5793\/14 + 414. Is q smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 27*g**2 - 39*g - 139. Give i(-4).\nAnswer: 449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26120 (base 7) to base 8.\nAnswer: -15413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5010578 to the nearest integer?\nAnswer: 2238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13195 and 1001?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1632247263 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 140*r - 144*r = 21, -5*r - 27 = -4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.7254 rounded to 1 decimal place?\nAnswer: -9.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*d - a = 122, 97 = a + 99 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7\/270 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 228 and 1653?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 11*b + 22 - b - 11 - b**2. Let r be c(9). Solve t - r = 5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3739.85 less than 88.65?\nAnswer: 3828.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 8*v**2 + 6*v + 7. Let g(j) = -j**2 - j - 1. Let r(i) = b(i) + 4*g(i). Calculate r(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8215990 - 8218337 - c**2 + 0*c**2.\nAnswer: -c**2 - 2347","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1602, 1603, 1604, 1605?\n\"Answer: j + 1601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 154 - 149. Suppose -3*r + 4*r - 154 = i*f, -4*f = 4. Is r less than 149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -5*m + 2, 0*f - 3*f = -2*m - 6. Suppose -2*z + 4 = -0. What is the second derivative of 2*q - 2 + f + q**z wrt q?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2487715?\nAnswer: 5, 647, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**3\/4 + 12*c**2 - 99*c\/4 + 25\/2 = 0. Calculate c.\nAnswer: -50, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(36)\/sqrt(3)) + (sqrt(19) - (-1*(sqrt(19) + (sqrt(19) - (sqrt(19) + sqrt(57)\/sqrt(3)))))**2).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2.3*447072\nAnswer: -1028265.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12777, 22646, 32515, 42384, 52253?\nAnswer: 62122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1057772273 to the nearest integer?\nAnswer: 1019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 587105005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -40*x - 15*x - 540 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3001700 + -1535680\nAnswer: -4537380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -372\/31409 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 5*h**2 + 3*h - 5. Let d(m) be the third derivative of m**6\/30 + 2*m**5\/5 + 7*m**4\/12 - 4*m**3 - 8*m**2. Determine 3*d(w) - 14*r(w).\nAnswer: -2*w**3 + 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 6*p**3 + 2*p**2 + 6*p. Suppose 140 = 3*v + 152. Let i(q) = -5*q**3 - 2*q**2 - 5*q. Determine v*i(f) - 3*y(f).\nAnswer: 2*f**3 + 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 3*p - 4*z + 161 = 6*p, -79*z - 34*z + 5045 = 412 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s**3 + s**2 + 2. Let z = -40 + 36. Let t(d) = -3*d**3 + d**2 + 2. Determine z*b(j) + 5*t(j).\nAnswer: j**3 + j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/8 - (-2)\/(-8). Suppose f = g + 3*g. Suppose -p + 5*p = g. Is -6 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*o**3*t + o**3 + 3025*o*t**2 - 12*o + 37 wrt t.\nAnswer: -3*o**3 + 6050*o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2003, -3244, -4675, -6296, -8107, -10108, -12299?\n\"Answer: -95*s**2 - 956*s - 952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-18)*w*w*(w*w*w**21*w)\/w*w*w assuming w is positive.\nAnswer: w**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -22*a**3 - 2*a**2 + 1. Let j be k(-1). Suppose -3*y + 160 = 2*y. Suppose 4*n - y = -4. What is the highest common divisor of n and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*2*(sqrt(136)*-2)\/sqrt(8).\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - 0.09. Let u = a + -0.09. Let s = u + 0.05. What is s rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17ef3b4 + 3?\nAnswer: -17ef3b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1295213?\nAnswer: 17, 61, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 2*l - 20. Let x = 52 + -33. Let u = x - 16. Solve 0 = 2*y + 4, 0 = l*p - y - u*y - 12 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-19)*r**(-4)*r assuming r is positive.\nAnswer: r**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -2*d - 3, 4*i - 25 = -5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 120\/(-36)*84\/(-10). Let g = n - 30. Is 7\/(g\/222*-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 89*l**2. Let i(w) = 215*w - 441*w + 225*w. Give i(p(d)).\nAnswer: -89*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -101111010011001110?\nAnswer: -101111010011001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/1*25\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q + 20*w - 17*w + 4, 4*q = -2*w - 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 4*o**2 + 4. Let h be l(-4). Let i(w) = -w - 8. Let x be i(-10). Suppose -g - x = -3. Calculate the greatest common divisor of g and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.76 to 1 dp.\nAnswer: 18.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 353*x + 349*x = -120, 2*b = -6*x + 184 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1065 = -7*w + 2*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(60) + sqrt(120)\/sqrt(2)))\/(sqrt(192)*-2) - ((sqrt(245) + (sqrt(245) - (sqrt(245) + -1)) - sqrt(245))*4)**2*-4.\nAnswer: -5*sqrt(5)\/4 + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*b**5*r**2 + 1362912*b**3*r**3 + 173*b**2*r**3 - 14514*b**2*r**2 + 2*b**2 wrt b.\nAnswer: -660*b**2*r**2 + 8177472*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21.44637 milligrams?\nAnswer: 0.00002144637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.034 - 1.0732. Let f = 0.039091 + z. Round f to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-8))\/r**(-1\/3))\/(r*r**33*r*r*(r*r\/(r*(r**(4\/7)\/r*r)\/r))\/r*r*r*r*r) assuming r is positive.\nAnswer: r**(-989\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(637) + -3 + 2*sqrt(637) + sqrt(637) + sqrt(637) + 0 + 4 + 2)*3)**2.\nAnswer: 1890*sqrt(13) + 143405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**3 - 19620*a**2 + 5722812*a - 430631964 = 0.\nAnswer: 153, 4599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**2*r**3 + 21*c**2*r**2 - 2*c**2*r - 10*c*r**3 - 3335*c + 818*r**4 + 34*r**3 - 6*r wrt r?\nAnswer: -6*c**2 - 60*c + 19632*r + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 1013154727?\nAnswer: -1013154727.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 1. Let n be (-4 - -2)*(-2)\/(-4). Let u be (-13)\/(-7) - (0 - n). Which is the biggest value? (a) k (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2079922 - 11528.1732\nAnswer: -2091450.1732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 + 5374600*b + 3610790645000.\nAnswer: 2*(b + 1343650)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**3 - 18*k**2 - 21*k - 2. Let w(s) = -s**3 - 8*s**2 - 10*s - 11. Let m be w(-7). What is x(m)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 7:06 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000100111011000010010 (base 2) in base 10?\nAnswer: -6452754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2. Let o(t) = -t + 5. Let s = -11 - -9. Calculate s*o(v) + 5*d(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*f + 1632 = 0, 0 = 4*r + 2*f + f - 1305. What are the prime factors of r?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1830 is divided by 42.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 3)*(-1 + -4). Let k be 3\/((-2)\/2)*g. Suppose 3*o = 6*o - k. Solve 0 = 2*x - 3*x + o for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*i**2 - 215 wrt i.\nAnswer: 54*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 855, 914, 1079, 1404, 1943, 2750?\n\"Answer: 9*s**3 - s**2 - s + 848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 5*y - 24 = 0, 3*y = 23*h - 16*h + 22 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 134*j + 3214. What is x(-19)?\nAnswer: 668","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-10)*65\/39. Factor -2\/3*j + 2\/3*j**3 + 2\/3 - d*j**2.\nAnswer: 2*(j - 1)**2*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 248 by -62.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/((-120)\/25))\/(2*50\/240)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3107*m + 2532*m**2 - 1555*m - 1552*m.\nAnswer: 2532*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*z + 23*z - 10*z**3)*(-6*z + 0*z + 2*z).\nAnswer: 40*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 + 272*a - 7540. Determine w(40).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h**2 + h**2 + 3*h**2 + (5 - 5 + 3*h)*(-29*h + 4 - 4))*(0 + 0 + 5*h) in the form i*h**3 + g*h + l*h**2 + t and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -27*x**2 + 12*x**2 + 13*x**2. Let v(b) = 10*b**2 - 1. Give 11*g(y) + 2*v(y).\nAnswer: -2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/7061 or -0.2?\nAnswer: 4\/7061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 292? (a) 1\/3 (b) -7 (c) -60 (d) -2 (e) 1 (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w - 1. Let x be 12*2\/(-204) - (-555)\/(-51). Let a(q) = q**2 - 14*q + 3. Give x*h(v) - 4*a(v).\nAnswer: -4*v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 16*3.3\nAnswer: 52.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 25 (c) 5 (d) 1 (e) -1\/64 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7501, -7492, -7481, -7468, -7453?\nAnswer: -7436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -302030021 + -2?\nAnswer: -302030023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 189351, -4 in decreasing order.\nAnswer: 189351, 6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -89 + -1. Let i = v + 95. Solve i*j = g - 22, -2*j = -j + 5*g + 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.491202ns in milliseconds?\nAnswer: 0.000004491202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 11*c - 3. Let v(f) = 5*f - 1. Let u be v(1). Suppose u*b - 7 = -39. What is the units digit of j(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16768 + 15032 = -795*h for h.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/3 - 392*m**2\/3 - 14344*m\/3 - 147136\/3.\nAnswer: -2*(m + 22)**2*(m + 152)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s**2 + 1405 - 1405.\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -742.35 (b) 5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3 - 0. What is the closest to 0 in 0.1, -0.4, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 4\/5, 2\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8b9 (base 16) to base 12\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 5*n - 35 + 18 = 0, -2*q + 4 = -4*n for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 30 = 3*c. Suppose 2*g = 2*r + 3*r + 43, -5*g = 5. Is 1905\/9 + c\/r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 504*i**4\/5 - 528*i**3\/5 - 682*i**2\/5 + 546*i\/5 + 196\/5 = 0. What is i?\nAnswer: -1, -2\/7, 7\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + -18. Suppose n = 2*m + 2*a + 1, -4*a = -m + 17. Suppose 4*q + 3*f + 27 - 136 = 0, -23 = -q - m*f. What is the least common multiple of q and 6?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 1300*r - 3909. Let d be x(3). Let o(w) = 4*w**2 + 34*w - 9. Determine o(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v**2 - 2*v**2 + 5*v**2)*(0 - 5 + 6)*(-1250 - 1158 + 2623) as f*v + g + c*v**2 and give c.\nAnswer: 430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 1:12 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 10*m**2 + 7*m + 7. Suppose 4*n - 7 - 21 = 0. Let g(t) = -3*t**2 - 2*t - 2. Calculate n*g(h) + 2*o(h).\nAnswer: -2*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.9 + 0.6. Let i = -11 + 11.3. Which is the smallest value? (a) 5 (b) i (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 863424.6 milligrams?\nAnswer: 863424600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -y - 2*y. Let f = y + -6. What is the remainder when f is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -4*h**6\/21 - 8*h**5\/35 + 3*h**4\/14 + 4*h**3\/21 - h**2\/7 - 23. Factor m(n).\nAnswer: -2*n*(n + 1)**2*(2*n - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 12) to base 4\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 11*s**2 + 2. Let j be h(11). Suppose -j*m = -10 + 4. Calculate the remainder when 9 is divided by m - (0 + (0 - 3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -5*l + 25, 2*l + 4 - 5 = -d. Solve -y + 3 = -3*q, -l*q - 3 = 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1838 - -0.0552. Let s = z + -2.239. What is the biggest value in -0.1, -9\/2, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 6*l**2 + 4*l - 3. Let q be k(-7). Let j = q - 15. Solve i = j*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147727 is divided by 311?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34 and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 8*r**2 - 9*r + 4. Let c be b(7). Let x = -7 - c. Let w(z) = -3 + 3*z**2 + x. Let a(g) = 2*g. Determine w(a(j)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f - 64 + 4 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 0*x**2 + 1\/6*x**4 + 6*x + 0 + 3\/20*x**5 + 0*x**3 + 1\/30*x**6. Factor n(h).\nAnswer: h**2*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-45)\/(-7) - (-54)\/(-126). Let w(i) = i**3 - 3*i**2 + 4*i - 4. Is w(h) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3206 and 210.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 - (-1 + -3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a (base 11) in base 9?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 49*t - 592. Determine o(-27).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 6*r - 2. Let c(d) = 5*d - 1. Let w = 1027 + -1025. Determine w*i(x) - 3*c(x).\nAnswer: -3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from npxxgunpt. Give prob of sequence txp.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000081651 to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -56. Let l = h - -89. Calculate the greatest common factor of 5 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4975\/18 - -2576\/9. Let l(g) = -2*g**3 - 5*g**2 + 2*g + 3. Let h be l(6). Let f = h + 7193\/12. Calculate the common denominator of c and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 7:18 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 6*o + 11. Calculate the remainder when 5 is divided by z(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 + 4*p**2 - 14 - 2*p + 2*p in the form o*p**2 + h + k*p and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/13 + 504*t**2\/13 - 42336*t\/13 + 1185408\/13.\nAnswer: -2*(t - 84)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m + 2. Let q(g) = 4*g - 5. What is -5*h(c) - 3*q(c)?\nAnswer: 3*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2885 = 3*d, 4*d - y = -4423 + 578. Let v be d*122\/(3*16\/7500). Round v to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of 29*h**3\/6 + 387*h**2\/2 - 2*h + 718. Determine g(-13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-80)\/(-200) + (-48)\/70. Are 4\/9 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 611 is divided by 88.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 20 and -2949\/13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*u + 117, 7*u - 5*u - 3*j - 67 = 0. Suppose t - u = 3*m + m, -m = -4*t + 212. Is 54 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2441 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 351*t + 29458. Let h(b) = -8*b. Determine c(h(w)).\nAnswer: -2808*w + 29458","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*c + 12*c**3 + 66*c**3 - 9*c**3 - c**2 + 29*c - 2*c as r*c**3 + v + b*c**2 + i*c and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -7372842 at most as big as -7372842?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86581690 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2*1\/240*(-43035)\/(-114) and -151\/72.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 8) to base 7\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - -83 - (6 + -5 + 0 + 2 + 3).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 2*o + 3*o)*(-5 + 2*o + 5) - 5*o**2 + 1 - 1 + 5*o**2 - 3*o**2 - 4*o**2 + 202*o**2 - 284*o**2 + 243*o**2.\nAnswer: 156*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 222\/16 - (-1)\/8. Let x = 60 - w. Let c = -33 + x. Calculate the remainder when 141 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*g - 124*g - 1087*g - 54216 = 558*g for g.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 - (-2 + 1 + 1). Let l(s) = 3 + 1 - 11 + 8. Let i(t) = -3*t + 7. Calculate v*l(z) - i(z).\nAnswer: 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 13 = q, -2*h + 2*q - 4 = -5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -191 - -120. Let g = 157 + q. Let l = g + -772\/9. Is 1 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 344834, 344834, 344824, 344798, 344750, 344674, 344564?\n\"Answer: -u**3 + u**2 + 4*u + 344830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 257985 and 70560.\nAnswer: 8255520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 3 = 5*f. Suppose -f*n - 2*n = -10. Solve -n*o + 8 = 0, -4*l - 28 = -2*o - 3*o for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-110)\/66 - 170\/(-75). What is z in -y*z**3 + 0*z - 3\/5*z**2 + 0 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 4*k**2 + 4*k + 1. Let i be n(3). Suppose -2*w = -14 + i. Calculate the greatest common factor of w and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -20*c + 16*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1*(17\/(-26) - 2\/(-13))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0. Let q = -14 + 16. Let f = 97325 - 681273\/7. Sort q, r, -7, f in ascending order.\nAnswer: -7, r, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 430\/(6 + -49) - -2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33175 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 194635*i**2. Let b(g) = 84*g. Calculate f(b(u)).\nAnswer: 1373344560*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -6*q**2 - 5*q + 60. Let n(f) = -f**2 - f + 12. Let p(z) = 11*n(z) - 2*y(z). List the prime factors of p(0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -112 + 1497. Does 34 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.1 or -4.77?\nAnswer: -4.77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - ((59 + -7 - 23) + 10)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.161 - -0.2. Let a = 0.098 - t. What is a rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5135)\/159896 - (-3)\/69)*(-6 - -26).\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 185? (a) 0.5 (b) -2 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0747 rounded to three decimal places?\nAnswer: -0.075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 61*p**2 + 452*p - 5. Determine o(9).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 45228326, 90456669, 135685012, 180913355, 226141698, 271370041?\n\"Answer: 45228343*g - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 9, i: 5, k: 2}. What is prob of picking 4 m?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -216*g**4 + 74*g**4 + 3401 + 75*g**4 + 50*g**4 + 50*g**4 - 26*g**2 wrt g.\nAnswer: 132*g**3 - 52*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 + -20. What is the remainder when 21\/(-49) - 283\/(-7) is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -9344 (b) -2\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in 3, 2\/5, 2\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -178440 (base 9) to base 14.\nAnswer: -2c728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (2 - (12 + -7)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9725051 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(sqrt(24)*3)*2.\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {d: 7, h: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*y - 10, 3*y = 5*c - 725 + 706. Solve -u - 2*k - 10 = 0, 2*k - 7 = c*u - 5 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25322959 is divided by 3380.\nAnswer: 3379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10769 - 2580. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o**3 - 4*o**3 + 2*o + 4*o**3 to h*o**3 + x*o + l + q*o**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20178 - -605207\/30. Find the common denominator of 23\/39 and r.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 b, and 1 c when four letters picked without replacement from aabcx?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-10)*(42\/(-7) - -1). Solve -4*v - 5*u + 24 = 8, -5*v - a*u = -11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00146932 rounded to 6 dps?\nAnswer: 0.001469","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*s**2\/5 - 1322598*s - 26451864\/5.\nAnswer: -6*(s + 4)*(s + 1102161)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4256 divided by 3\nAnswer: -4256\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4 - 4 + 3*q - 2*q. Let x(j) = j**2 - 9*j + 6. Let h be x(6). Let z = h + 7. Calculate i(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*r - 2*u + u, -u = 2*r - 3. Suppose -18 = -2*q + 2*y, 0 = 6*q - 3*q + 4*y - 48. Suppose 3*d + 3 - q = 0. Solve d*w + 2 + r = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 - 39*m - 3420. List the prime factors of y(66).\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.0803 (b) 8 (c) -1\/2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 366150, -20, 3, -3, 4.\nAnswer: -20, -3, 3, 4, 366150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1 + 1*sqrt(425) + (sqrt(425) - (sqrt(425) - (-6*(3*sqrt(425) + sqrt(425)) - sqrt(425))))) + -3)**2.\nAnswer: 6720*sqrt(17) + 3916849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*h - 2*h + h + 7*h**4 wrt h.\nAnswer: 84*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.11 - -0.04. Let f = -39 - -38.83. Let k = r + f. Sort -0.1, k, 1.\nAnswer: -0.1, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 5*m**2 - 4*m. Let z be r(6). Find the first derivative of -1 + 6 + 0 + z*n wrt n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2e79331 - 5?\nAnswer: -2e79336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*d**3 + 72*d**2 - 1 - 369*d**3 + 560*d**3 + 702*d**3 + 190*d**2 wrt d.\nAnswer: 5514","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a75c0 (base 13) to base 12.\nAnswer: 12691a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -1787, -0.4, 6 in descending order.\nAnswer: 6, -0.4, -27, -1787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -144.99763 - -145. What is c rounded to four dps?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.5 * -3.\nAnswer: -61.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -10 + (630 - 636).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 59*y + 33*y - 6 = -32*y, 0 = -4*y for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + sqrt(72))**2 - (-1*sqrt(72))\/sqrt(9)) + 2.\nAnswer: -358 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2, -u = 4*m - 0*m + 4. Suppose 0*c = u*c - 16. Solve -4*n + k = -7, -3*n - 16 = -c*n + 5*k for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11314005 to the nearest integer?\nAnswer: 3364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/31223 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 2*n**2 + 4*n + 26. Let y be g(5). Which is smaller: y or -28?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 6*y - 2. Give x(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74 - 12. Let x = q + -19. Let d = x - 38. What is the greatest common divisor of 60 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 776 + -765. What is the remainder when (104\/(-10))\/((-1)\/5) is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 88423.58.\nAnswer: 17684.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.01 (b) -2\/23 (c) -2\/15 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -41*i + 1093. Calculate b(31).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 61, 89, 41, -119, -427, -919, -1631?\n\"Answer: -6*i**3 - 2*i**2 + 76*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 4700?\nAnswer: -4705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 2:22 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31 + m**2 + 31 + 3*m**2 - 3*m**2 - 2*m**2 + m**2 + 0*m**2 - 2*m**2 + (-2*m - 2*m + 5*m)*(-1 - m + 1) to s*m + l + h*m**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 4*s + 2. Let m(g) = g**3 - 7*g**2 - 17*g + 19. Let x be m(9). Suppose -10*r = -x*r - 72. Give c(r).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 - 3*r - 17. Let o be j(4). Suppose 3*f = 4*d - 121, 0 = o*d + 3*f - 2*f - 81. Calculate the highest common factor of d and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(17)*-4 + sqrt(68)*4.\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 247422913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20742187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 36*r - 15 - 143 = 0, 2*r = 2*t - 736. Let x = 46 + -21. Calculate the remainder when t is divided by x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - l + 3*b - 19 = 0, 2*l - 5*b = 29. Suppose 3*v - 43 = 20. What is the greatest common factor of v and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/276 and 55\/552.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 358 and 13218.\nAnswer: 2366022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.74 + -1.7. Let b = i - -4.96. What is the closest to b in -1\/4, 2\/11, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/355192 and 115\/406.\nAnswer: 2486344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (8\/((-320)\/(-210)))\/(6\/(-32))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r**2 - 13*r - 13. Let j(n) = -2*n**2 + 6*n + 6. Let d(v) = -13*j(v) - 6*z(v). Let w(q) = -q**2. Determine w(d(a)).\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 19*n - 16*n - 9*q + 4*q, -56*n = q - 241 + 632 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 14 - 44 = -3*f, 4*f + 2*s = 14 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 622185085 to the nearest integer?\nAnswer: 24944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80765*i = -79797*i + 45496 for i.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (448\/(-80))\/(2\/(-5)). Let x be (18\/(-63))\/((-2)\/s). What is the third derivative of 4*h**2 + 2*h**2 - 25*h**x + 19*h**3 wrt h?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (11 - (-15 - -17))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 - -0.25. Let q = -1063\/8 - -133. What is the second smallest value in -1, b, q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2\/3 - 72536*v - 435200\/3.\nAnswer: -4*(v + 2)*(v + 54400)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -5*b + 3*s - 46, 4*b + 41 = -s. Let j = b + 16. Let i = 1 + 4. Solve -j*n + 5*n + i = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -162, -206, -216, -186, -110?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (972\/10)\/(15\/50). Suppose -q = 3*h + h + 4*x, 3*h + 4*x = -244. What is h rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -127 or -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 5. Suppose 6 = -o*f + f. Suppose -i = -p + f, p = 2*i + 6*p - 23. Let l(r) = 2*r + 1. Give l(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k**2 + 13*k. Let c be f(-3). Let d(t) be the second derivative of 0 + t - 1\/6*t**3 - c*t**2. Determine d(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -20 - (-33 - (10 - 27))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*b**2 + 6 - 3 + 15*b + 9*b**3 + 0*b**2.\nAnswer: 3*(b + 1)**2*(3*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/5940 and 35\/387816?\nAnswer: 17451720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4*q + 7, 5*q - 35 = -4*z - 0*q. Differentiate -4 - f**3 + 0*f + z + 0*f wrt f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and 6567.17?\nAnswer: 39403.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 34, -2.\nAnswer: -3, -2, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 293980.6ng?\nAnswer: 0.0002939806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3474017714.\nAnswer: 2, 463, 3751639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {j: 5, o: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5634 + -312?\nAnswer: -6146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7663, 98.\nAnswer: 1, 98, 7663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*m - 2*m - 4*m)*(2*m + 0 + 0) + (m - m + m)*(-3 + 0 + 2)*(-4368 + 4368 - 29*m) to the form w*m + f*m**2 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 5*u = -200 + 192, -42*z + 0*u = u - 254 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 38\/999 in 4, -0.1, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -6. Is (2 + 35)*(1 + h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 10*s**2 - 17*s - 8. Calculate the remainder when 202 is divided by b(6).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 272\/612*(-9)\/(-2). Suppose -p*a + 48 = 5*n, 31*n + 28 = 32*n + 5*a. Calculate the smallest common multiple of n and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 146*x + 3439. Give f(29).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = -3*c - i, -i = -2*c + i - 136. Let a = c - -129. What is the remainder when a is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*b - 291 - 245 = 619 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s + 4*s + s to q + i*s and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 11*g - 10. Let r be v(-10). Let n = 8.3 - -2.7. Let j = 0.2149 + -0.0149. Which is the nearest to r? (a) n (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 2. Suppose -3*q + 4*i = -2*q - 5, 5*i + 9 = d*q. Let h be (-2)\/4*10\/135. Is h at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1703*m + 423*m + 407*m + 425*m + 449*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 67*k = -66*k + 805, -t - 2*k = -199. What is the lowest common multiple of 15 and t?\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppccp. What is prob of picking 1 p and 1 c?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m - 7. Let p(l) = l + 4. Suppose -2*q - 2*n = 0, -10*q + 6*q - 5*n = 5. What is q*p(d) + 3*r(d)?\nAnswer: -4*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u + 12. Let x be 29\/5 - 1\/(-5). Let i be h(x). Is (-860)\/i - (-2)\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.95, 0.5, 52 in increasing order.\nAnswer: 0.5, 0.95, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/(-39)*(-4)\/(-10)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 216?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 1267467.\nAnswer: 13942137","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 11 - 10)*(-5 + 2 + 5 + (0 + 0 + 1)*(-6 + 1 + 3) - 2 - 2 + 2)*(67 - 67 - 3*a).\nAnswer: -108*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -9 times 1292\nAnswer: -11628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**4 + 28*v**3 + 36*v**2 - 28*v - 32 = 0. Calculate v.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19027 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -106 - -119. What is the remainder when g is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/28)\/(1\/8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7966.173 days?\nAnswer: 688277347200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/99*81\/(-27)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 0*x + 50. Let i be (-54)\/x + (-2)\/5. Let m = i - 39. What is m rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 52*d**2 + 141*d + 1022. What is f(-50)?\nAnswer: -1028","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*i*j**4 + i + 7*j**4 - 3*j**3 - 268*j - 2 wrt j?\nAnswer: -156*i*j**2 + 84*j**2 - 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1355 + 1b00?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 120 by 148.\nAnswer: 30\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*z**2 + 12*z**2 + 31667*z - 63321*z + 31654*z.\nAnswer: -55*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 6) to base 16\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/11 in 173, -4, -366, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*a = a - 3475, 0 = -3*z + 3*a - 2088. Which is smaller: -2767\/4 or z?\nAnswer: -2767\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32244565.\nAnswer: 5, 6448913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -82 + 321\/4. Suppose -3*g - 2*g = -5. What is the common denominator of u and (g*(-603)\/(-60))\/3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**3 - 278*y - 2*y**3 + 278*y + 14 + 7.\nAnswer: -2*y**3 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2618 and 10071072?\nAnswer: 70497504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, j: 3}. Give prob of picking 3 n.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) -4\/3 (c) -2 (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (76\/5434)\/(-8 - (-768)\/88).\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008802531 rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4936039 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -811, -802, -793, -784, -775?\nAnswer: -766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33561 is divided by 2395.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - a = 3*a + 10, 0 = -2*i + 3*a + 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-6)\/(-9)*-3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 1 - (1 + 0). Let f be (w\/5)\/((-1)\/5). Factor -2\/7*l - 2\/7*l**5 + 4\/7*l**3 + 4\/7*l**f - 2\/7*l**4 - 2\/7.\nAnswer: -2*(l - 1)**2*(l + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 9, k: 9}. What is prob of sequence kkkk?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebc when three letters picked without replacement from rezbrrrzbzzbczpz?\nAnswer: 1\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwwi. Give prob of picking 2 i.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express j**3 - 1 - 1 - 2*j**3 - 3*j + 0 as g*j**2 + k + p*j + t*j**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 205*z + 11062. Determine l(-54).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llttzgdlglzghtztz. What is prob of picking 1 z, 1 t, and 2 l?\nAnswer: 24\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -785, -2944, -6529, -11540, -17977, -25840?\n\"Answer: -713*t**2 - 20*t - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -10*l**3 - l**2 + 7*l + 6. Let r be k(4). Let h = 1100 + r. What are the prime factors of h?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2091 a factor of 610712223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 9:38 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -479, 4 in increasing order.\nAnswer: -479, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 16 = 11*c + 202, -74 = 3*c - 4*o for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 1, 9, 21, 37?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) -0.1 (c) 3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7906 + -7858. Solve -29*u - f = 126 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*(sqrt(38)\/sqrt(2) + 5 + sqrt(19)))**2 - (sqrt(475) - -6*(sqrt(475) + -2) - (sqrt(475) + 1 + (sqrt(475) + 2)**2)).\nAnswer: 50*sqrt(19) + 795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40 - (-2 - 0)) + -3220 + 3236?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -806768 - -425?\nAnswer: -806343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*m - 4*j + 6, 3*j = 4*m - 3. Suppose 3 = -m*d + 6*d. Let a be 3\/(-20) - (-2)\/(-8). Which is bigger: a or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 11) to base 3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 314.3256 millimeters?\nAnswer: 0.3143256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3323 (base 7) to base 11\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 540 - 544. Sort 2, 7, u, 4 in descending order.\nAnswer: 7, 4, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 524988289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, 116, 117, 154, 239?\nAnswer: 384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 134, 226, 372, 590?\nAnswer: 898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/6 and 137\/7014?\nAnswer: 7014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w - 22. Let d be k(-8). Let r = d + -4. What is the closest to 0 in -2\/9, r, -3\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 697*a + 36088. Calculate x(-52).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -351070\/23 - -15264. Sort 3, 14, -3, t in increasing order.\nAnswer: -3, t, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1127 = -14*o + 329. Calculate the lowest common multiple of 344 and o.\nAnswer: 4472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 3) + (-10 - -5) + 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 72, 150, 228, 306?\n\"Answer: 78*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55531222 - 4?\nAnswer: -55531230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 17646 divided by 34\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 634 not equal to 634?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l**2 + 2959*l + 1746030 = 0. What is l?\nAnswer: -2145, -814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 55293 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 628*v + 632. Determine l(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + t - 1. Suppose -5*h + 32 = 4*q, 3*h + h = -5*q + 31. Let g = 2 + h. Suppose -3*p - g = 0, d + 2*p = -7 + 6. Give z(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + h - 2. Let w(o) = -10*o**3 - 54*o - 461. Let t(c) = 5*u(c) + w(c). Differentiate t(k) wrt k.\nAnswer: -15*k**2 - 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 96148 and -1401?\nAnswer: -134703348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 3*f + 7, 2*t + 4*f + 5 - 19 = 0. What is the derivative of -t - 3 - 3*b + 3 wrt b?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d*d**5\/d)\/d)\/(d\/d**(-2\/17)))\/(d*d\/(d**(-1\/3)*d*d))**26 assuming d is positive.\nAnswer: d**(-244\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 9 = 0, 7*y + 5*d + 2985 = 2*y. Calculate the common denominator of 115\/42 and 75\/y - (-226)\/48.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -134279, -134271, -134265, -134261, -134259?\n\"Answer: -i**2 + 11*i - 134289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 2*w - 18. Suppose 2*b - 14 + w = -h, b - h = 4. Calculate the greatest common divisor of 8 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 105055951?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14.9511 and 1.\nAnswer: 14.9511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 10*z + 11. Let x be q(9). Solve -3*y**x - 2*y**3 + y**4 - y**3 + 0*y**4 + 5*y**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**5\/20 + 11*v**4\/6 + 311*v**3\/6 + 144*v**2 + 5896*v + 1. Factor m(a).\nAnswer: -(a - 32)*(a + 1)*(a + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**3\/3 - k**2\/2 + 9*k. Let c(d) = -1 + 5*d - d - 3*d. Determine -3*c(o) + m(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/(-14)*26\/20 - -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 125\/3 - 217\/5. Find the common denominator of v and -23\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + 0 + 19 + (107 - 114).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**3 - 4*v**3 - 21*v**3)*(13*v**2 - 12*v**2 - 1 - 4).\nAnswer: -22*v**5 + 110*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-4))\/((3\/8)\/1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -510585891 and -4.\nAnswer: -510585895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 22*c - 83. Give w(11).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - (-1)\/((-2)\/(-5)))*-1378. Let h = p - 693. Sort 1\/4, -1\/6, h in increasing order.\nAnswer: h, -1\/6, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -132\/455 + 2\/455. Let n = -58 + 54. What is the closest to g in 2, n, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1503069 - 99171 + 220123 = 7*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*l - 4 + 3)*(18*l - 3*l + 12*l) - 2*l**2 + 2*l**2 + 2*l**2.\nAnswer: -52*l**2 - 54*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65.9 - 64.858. Let u = 0.042 - k. Let q = 117 + -1285\/11. Put 0, u, q in descending order.\nAnswer: q, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/3*(-270)\/40?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 228 = -3*g. Let d(j) = 195*j - 7188. What is the smallest common multiple of g and d(37)?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107236*t + 53496*t + 53609*t.\nAnswer: -131*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1183955 divided by 236791?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, n: 14}. Give prob of sequence nx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-11)\/l**(-2\/11) assuming l is positive.\nAnswer: l**(-119\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16*((-12)\/(-5) - 2)\/(24\/(-60))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*y**2 + y**2 + 3*y**2)*(0*y**2 - 4*y**2 + y**2) - 2*y + 2*y - 4*y**4 to h*y**2 + v*y + w*y**4 + d + c*y**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 h when two letters picked without replacement from {n: 1, j: 7, x: 2, h: 9}?\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1 + 5*r**2 + 5*r**2 - 13*r**2 wrt r?\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 89*l. Let o(p) be the third derivative of -7*p**5\/30 - 2*p**2 - 1566. What is t(o(d))?\nAnswer: -196*d**4 + 1246*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*h**2*l - h**2 + 2*h*i*l - 2*h*l**3 - 713*i*l**3 with respect to h.\nAnswer: -6*h*l - 2*h + 2*i*l - 2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.303 + -0.003. What is the nearest to -0.1 in -0.3, l, 1\/3, -20?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21583 and 382?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3866, 3866, 3868, 3872, 3878, 3886, 3896?\n\"Answer: s**2 - 3*s + 3868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 4*d - k + 4*k, -5*d + k = 14 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 o when two letters picked without replacement from fof.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -s - 701*g + 717*g, 3*s = -g + 11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**5 - 12*k**4 + 16*k**3 + 48*k**2 = 0.\nAnswer: -3, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 10:01 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - 748 = -790 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.76 - -0.64. Let a = r - 8.4. Is a bigger than 0.17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2003, -3997, -5991, -7985, -9979, -11973?\nAnswer: -13967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.036429 minus 48.4?\nAnswer: -48.436429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2211150 (base 8) to base 11.\nAnswer: 376758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -33462783, -33462784, -33462785, -33462786?\n\"Answer: -h - 33462782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txxx when four letters picked without replacement from {k: 1, t: 1, x: 5, p: 4}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**3 + h**2 - 2*h + 2. Let a(g) = g**3 - g**2 + g + 2. Let l(n) = -3*a(n) - 2*z(n). Give l(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35323?\nAnswer: 35323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1353.6 + -1354. Let i = 27 - 18. Put m, i, -5 in descending order.\nAnswer: i, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89301.571 rounded to the nearest 1000?\nAnswer: -89000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 88*k + 255288 = 1003458. What are the prime factors of k?\nAnswer: 3, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19218.959 * -2.\nAnswer: -38437.918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6532626*h - 17*h**2 - 6532628*h - 6*h**2 - 24*h**2.\nAnswer: -47*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -96 + 167. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (40\/36)\/(7\/21). Factor 0 - 2\/3*r**5 - 6*r**3 + 14\/3*r**2 + v*r**4 - 4\/3*r.\nAnswer: -2*r*(r - 2)*(r - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 84*z**2 - 5*z + 6. Let d be u(1). Let r(g) = -86*g**2 - 7*g + d*g**2 + 1 - 12*g + 5*g. Let x be r(-14). Is x less than or equal to 5\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11085 = 128*g - 867*g for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 3*z + 3. Let a be h(-3). Let p be 12\/1*1\/2. Let l = p - a. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9)\/sqrt(3) + -4 + -2)*2)**2.\nAnswer: -48*sqrt(3) + 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**3 + 306*o**2 + 641 - 306*o**2 - 1810 to the form q*o + i*o**3 + g + p*o**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*s = -3*b - 102, 0 = 5*s + 4*b - 179. Let y = -32 + s. Solve 5*r - 8 = y*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*-1 - 14\/(-2). Suppose j - 112 = -5*o, 0*o + t*o - j - 118 = 0. Suppose 31 = 3*k + k + 5*q, 4*q - o = -3*k. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 3*w = 108. Let y = w - 26. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 + 308224*q - 5937627136.\nAnswer: -4*(q - 38528)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 3023*r - 200724. Determine a(-65).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -235*x**3*y**2 - 61*x**3 + 15*x*y**2 - 69*y**2 wrt x.\nAnswer: -1410*x*y**2 - 366*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - l**2 + l - 5. Suppose k + 6*d - 2*d - 12 = 0, -3*k + d = 3. Let s be m(k). Is (-58)\/2*1*s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4*f**3 + 16*f**2 + 9*f + 8. Let c(q) = 9*q**3 + 33*q**2 + 20*q + 17. What is 6*c(l) - 13*o(l)?\nAnswer: 2*l**3 - 10*l**2 + 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 1:04 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d - 13 - 55 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k*k**(-1\/3)\/k))\/k)**3*(k\/k**(-2))**(2\/37))**(-22))**(-46) assuming k is positive.\nAnswer: k**(43516\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-10) + ((-855)\/19 - (-2230)\/50).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q + 1 + 0 + 3. Let w(c) = -9*c - 8. Let o = -12 - -19. Let g(j) = o*z(j) + 3*w(j). Give g(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28607 = 51*q - 126382. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -410 - -406. Let n(v) be the third derivative of 9*v**5\/20 - v**4\/3 + v**3\/2 - 2*v**2. Is n(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 991 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27913221.\nAnswer: 3, 7, 147689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154 + 2*s**3 - 354 + 200.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 17\/4 of a micrometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -108461*g**4*r**2 - 47*g**4*r - 4*g**2*r**2 - 3789*g*r - 15*r**2 wrt g.\nAnswer: -2603064*g*r**2 - 1128*g*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 8 = 2. Let z(o) = 3*o**2 + 47*o + 325. Let y be z(-7). Suppose 0 = u*h - 5*k - y, 2*k + k - 267 = -3*h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6837 - -179453\/26. Let z = -357\/13 - a. Let n = 202\/3 + z. Find the common denominator of n and 31\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-36)\/(-16))\/(-2*(-63)\/48). Let p = -22 - -124. Let s = -716\/7 + p. Put s, -2, g in increasing order.\nAnswer: -2, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 110 + -35. Let d = 0.07428 + 75.30572. Let w = h - d. What is w rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15351 (base 6) in base 8?\nAnswer: -4723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40\/7*q**2 - 4*q**4 + 24\/7*q**3 - 4\/7*q - 20\/7*q**5 - 12\/7 = 0.\nAnswer: -1, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128611067?\nAnswer: 13, 491, 20149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + r = -7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**3 + 2*a**3 - 6*a**3)*(470*a + 0 + 1 - 275*a) + 0*a**4 - 4*a**4 + 5*a**4.\nAnswer: -389*a**4 - 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 30 = 5*i, 4*i - 12 = 5*y - 0*i. Put y, 3, 14, 0 in decreasing order.\nAnswer: 14, 3, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0561521 rounded to 3 dps?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 + -10 + (17 - (0 + -8)) + 9.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**3\/3 + 20*s**2 - 64*s - 256\/3 = 0. What is s?\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*h + 49*h = 204 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43676241.\nAnswer: 3, 7, 23, 31, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + p + 88 = 0, u = 2*p - 4*p + 22. Let z(d) = 95*d - 26*d - u*d + 10 - 22*d - 24*d. Give z(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2355294*h**2 - h - 1813951 wrt h?\nAnswer: 4710588*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43335 + -43328. Let o be 9\/(-2) + 1\/(-2). Let h = o + 1. Let p(x) = -3*x + 1. Let y(c) = -6*c + 2. Give a*p(r) + h*y(r).\nAnswer: 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3595950 a multiple of 262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/4)\/(8\/(-80)). Let t be 48\/8 + -1 + -2. Sort q, 1, t.\nAnswer: q, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwo when three letters picked without replacement from wowwoww.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.3 less than -17\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2823958866?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -7562\/3 <= -2521?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**14)\/(k**(-26)\/k) assuming k is positive.\nAnswer: k**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10143 is divided by 350?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -166171, -165937, -165703?\n\"Answer: 234*o - 166405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 805684.\nAnswer: 2, 11, 18311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1434958?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 244 and 7076?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/((-12)\/16))\/(1\/3). Suppose 0 = -5*t + m + 15 - 3, 4*t + 4*m = 0. Suppose o + 3 = c*h - 10, -t*o = h - 10. Solve -o = -q + 2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.658+0\nAnswer: 4.658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**2 + 548*c - 546 = 0. What is c?\nAnswer: 1, 273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -g + 13. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, s: 4}. Give prob of sequence ssn.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -94502, -94283, -94062, -93839?\n\"Answer: r**2 + 216*r - 94719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0266485036 rounded to 6 dps?\nAnswer: -0.026649","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 215*s - 7. Let x(v) = -106*v - 3. What is 2*j(y) - 5*x(y)?\nAnswer: -2*y**2 + 100*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4*f = 1389, 3*h - f + 58 = 1462. Suppose 32*d - h + 115 = 0. What is the greatest common factor of 198 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of c**2 - 7*c - 3. What is the units digit of t(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -1\/5, 14, -0.1 in descending order.\nAnswer: 14, -0.1, -1\/5, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.25 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -5*b - 1. Let j be v(-3). Suppose -j = -4*i - 2. Let l(k) be the third derivative of -k**4\/24 - 2*k**3\/3 - 3*k**2. Give l(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -8433.\nAnswer: -14\/8433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-6) + (-85)\/50 + 0\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f - 7. Let o be h(-6). What are the prime factors of 30\/8 - o\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15896 divided by 3974.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/15 (b) 1 (c) -69 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*y**3 - 124891266*y**2*z + 1429434860*y*z wrt y?\nAnswer: -30*y - 249782532*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 75.792 - 75. Let s = -0.8 + g. Round s to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 11*g**2 - 12*g - 14. Let f be x(-12). Let u be 105\/((-2)\/f*10\/(-40)). Round u to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1008) + 2 - (sqrt(1008)*1 + 2))**2 + -1 + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*z - 19. Let p(w) = -w**3 + 7*w**2 - 8*w - 5. Let n be p(5). Suppose -164 = n*c - z*c. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*a**3 - 72*a**3 + 36*a**3)*(-1821 + 371 - 966 - 439).\nAnswer: 11420*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 15228.\nAnswer: 15228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 432 - 247. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/739732 and -22\/67.\nAnswer: 49562044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*i - 1254 = -1299 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, -0.2, 13, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2886 and 1170.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uj when two letters picked without replacement from hpqvhjqpu?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -136369 - -245472. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2 + 2*n - 17867. Let f(v) = -33*v. What is c(f(h))?\nAnswer: -2178*h**2 - 66*h - 17867","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -220392, -220621, -220850, -221079, -221308, -221537?\nAnswer: -221766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/28 - 3\/14. Is -16 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000455 rounded to 6 dps?\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317255414.\nAnswer: 2, 7, 797, 28433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4034, 21015, 37996, 54977, 71958?\n\"Answer: 16981*h - 12947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 0.11726 (c) 16 (d) 0 (e) 2\/5 (f) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-640)\/300 + (-5 - -7)*1\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1959785*r**5 + 2516188*r?\nAnswer: 39195700*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-15) - 40\/(-75). Which is the third smallest value? (a) 7 (b) -0.2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 527411 is divided by 105?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + (-18)\/4*2. Let k = 29 + t. Suppose o = 5*w - 5, 3*o + 2*o - 120 = -4*w. Calculate the least common multiple of k and o.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of n**3\/3 - 2*n**2 - n + 3. Let r be j(4). Is (130\/(-15))\/(r\/3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 4\/19 (c) 0.1 (d) 35 (e) 9 (f) -3 (g) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*g - 3*o, -2*g = -0*g - o - 10 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ocl when three letters picked without replacement from {c: 3, o: 4, l: 7}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/55))**40*(((v**(-8\/13)\/v)\/v)\/v)\/v*v*v**24*v assuming v is positive.\nAnswer: v**(3266\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 93*l**2 - l - 1. Is c(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*d + 3 - 3*d**2 + d - 11*d + 2*d in the form b + r*d + g*d**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14929575 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1512 + 14549. What is the ten thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-4)\/((24\/(-20))\/3))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 722 = -242*a - 1214 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-3))\/((-2)\/(-201)). Let y = g - 267. Does 8 divide y\/(-12) - (-3)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*k + j + 5 = 0, 4*j + 20 = 4*k. Which is smaller: -4\/3 or k?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 13*z**2 - 4503*z - 20933. Calculate f(351).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/5603 + 633151\/67236. Calculate the common denominator of f and -61\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 7*o**2 - 11*o - 17. Let u be p(-8). Let y(x) = -x**2 + 7*x + 9. Let b be y(u). Suppose 5*h - b*h = -36. Solve -h = -d - 2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 703 + -703. Suppose q = 7*n + 418 - 404. Sort -11, -4, 6, n.\nAnswer: -11, -4, n, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28.5 + 28.814. Let y = o - -0.086. What is the third smallest value in -0.2, 2\/9, y, 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, 1\/4, -1.1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*h**3 + 29*h**3 + 4*h**3 - 71*h**3.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -977497, -977483, -977469, -977455?\nAnswer: -977441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 336 + -190. Let q = 125\/2 + -62. Find the common denominator of q and ((-8)\/24)\/(2\/v).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -11901?\nAnswer: 11906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38811406?\nAnswer: 2, 19405703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(1 - (2 + 0)). Let b be (i\/(-2))\/((-1)\/(-2)). What is the units digit of 2 - (1 + (b - 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*(44\/(-12) + 4). Suppose y*c - 11 - 17 = -4*n, c + 5*n - 8 = 0. Calculate the least common multiple of c and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 395998 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 4 = -4*r + 6*f, 962*f = 960*f + 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (((-2376)\/90)\/(-33) - -1)\/(6\/28)\nAnswer: 42\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + (-11 - -12) - 8 - -19.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5009, -40131, -135467, -321125, -627213, -1083839, -1721111, -2569137?\nAnswer: -3658025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand b - 2 + 2 + (-b + 3*b + 0*b)*(3 - 5 + 0) + 22 - 22 + 30*b + 1 - b - 1.\nAnswer: 26*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2450)*2*4 + 1*sqrt(2450)*-1)\/((-4*(sqrt(70) + sqrt(70)*1) - sqrt(70))\/(2*sqrt(343))).\nAnswer: -686*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 27*f - 34. Give w(-15).\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219106 - 613592 = -57*g + 928484. What is the greatest common factor of g and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 676\/19 - 49234\/1387. Let z = 5317\/146 + f. Let v = -1343\/22 - -270\/11. Find the common denominator of v and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 10, j: 9}. What is prob of sequence kjkk?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -130 - -129.9882. Round d to three decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r - 11. Let n be y(-4). Are -7 and n unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, t: 3}. Give prob of sequence yt.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**3 - o**3 + 3*o**3 + (-5*o + 1 - 1)*(5*o - 4*o + 0*o)*(-3 + 2*o + 3) as c*o**3 + j + q*o**2 + g*o and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -49572, -2, -4\/5, 0.4?\nAnswer: -49572","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**4 + 4348*r**3 - 1183740*r**2 + 1179396*r.\nAnswer: -4*r*(r - 543)**2*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 774 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 271 - 273. Let f be 42\/s*(22\/(-3) - -7). Solve -j - f = 2*x - x, 5*x = j - 11 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -4*h + 28, 21*w = 17*w + 2*h + 10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**11*z)\/z**11 assuming z is positive.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -65, -124, -183?\n\"Answer: -59*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11930 + 5.9.\nAnswer: -11924.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 5:18 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**2 - 6*c + 9. Let p(d) = 19*d - 19. Let i(v) = -7*v + 7. Let a(s) = -8*i(s) - 3*p(s). Give 6*a(o) - r(o).\nAnswer: -2*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 4*j**2 - 3*j. Let u be d(2). Let g(f) = u*f - 4 + 9 - f - 6. Let k(y) = -4*y + 3. What is 3*g(i) + k(i)?\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 967.\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 246.\nAnswer: -4, 0, 246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.58 + 2.582625. Round l to 4 decimal places.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/(-4))\/(6\/165*15))\/((-7)\/56)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1452785.\nAnswer: 5, 290557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8302, -16555, -24760, -32917, -41026?\n\"Answer: 24*a**2 - 8325*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -200 divided by 3.\nAnswer: -200\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53089 is divided by 3379.\nAnswer: 2404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 112 - 108. Suppose 369 = 3*w + 4*i + 89, -v*w = -4*i - 364. Suppose 3*f = 4*d - 385, 5*f + w = 2*d - d. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21021020212 - -11100?\nAnswer: -21021002112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - 6 - 1 - 928. Let n = t + 2185. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -48504 + 24247 + 24257 + f - 11*f**2 + 27*f**4 - 2*f**3 in the form m + k*f + d*f**3 + n*f**2 + h*f**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 5:27 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6040795.\nAnswer: 5, 1208159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 - 15) + 3 + -15?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(3\/11)*v**(-3\/11)\/v*(v\/(v**(2\/13)*v))\/((v*v*v**(2\/19))\/v) assuming v is positive.\nAnswer: v**(-311\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 15, 0 = 5*y + 120*s - 123*s + 30 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1280\/220 - 2\/(-11). Solve -12*v - 6 - z = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - -f?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, s: 3, n: 4}. What is prob of sequence rn?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 24 = 3*a - 4*h, 4*h = a - 17. Suppose -a*o = 5, -3*o - 18 = -5*k - 5*o. Suppose -8 = -p + 3. What is the least common multiple of p and k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 - -36?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (36\/4)\/((-1)\/(-2)). Suppose -172 = -4*n + 4*j, 0*n - 2*n - 5*j + 100 = 0. Calculate the greatest common divisor of n and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 10, v: 6, a: 4}. Give prob of sequence vt.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*y - 87*y**2 + 331*y**3 - 44*y + 75*y**2 - 328*y**3 to j*y + q*y**2 + k + u*y**3 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0080805 rounded to four decimal places?\nAnswer: 0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/6208 and 29\/5044.\nAnswer: 80704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2)*d)**(-2\/11)*d*d**(-3)*d*d\/d**(-2\/11) assuming d is positive.\nAnswer: d**(4\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-10)*9\/30. Let n = 7\/25 - w. Let d = -9 - -4. Which is the smallest value? (a) n (b) d (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8370 divided by -2790.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2938*u + 11916. Calculate t(4).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + -0.2. What is the second smallest value in 2, g, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12, -59, -144, -273, -452, -687?\n\"Answer: -f**3 - 13*f**2 - f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 0 + 9\/(-81)*0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + -10. Let f = 13.9 - j. Which is the second smallest value? (a) 0.1 (b) f (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84948079 a multiple of 747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 176 by 451.\nAnswer: 16\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -27*h. Let j be q(-6). Suppose -j = -3*m + 2*f, 7*m - 3*m - f = 216. What is the remainder when m is divided by 0 - (-188)\/10 - (-11)\/55?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92028.\nAnswer: 2, 3, 7669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a646dc (base 15) to base 14.\nAnswer: -109d829","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q**0*q)))**(-23)\/(q**(1\/2))**(2\/71) assuming q is positive.\nAnswer: q**(-1634\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 42.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 19 + 4. Let w(c) = c**3 + 6*c**2 - 8*c + 7. Let d be w(-7). Suppose -k*p - 5*q + d = 0, -4*q + q - 30 = -3*p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396 is divided by 80?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 0 - (2 - 6)) + -7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 3*a**2 - 6*a + 1. Let q be f(5). Suppose -q = -4*h - d + 1, h - 2*d = 10. Let k(r) = 6 - h - r. Let s(j) = -3*j. Give s(k(n)).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*h = 5*s - 31, -4*h + 3 = -s. Solve -h*b - 3 = 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 438\/8 + -1 - (-3)\/12. Suppose 2*s + 51 = 5*a, 0 = -4*a - 5*s + t - 0. Calculate the remainder when 63 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 10. Let i be p(-3). Let a(k) = -k**3 + 7*k**2 + 2*k - 7. Is a(i) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 17\/15 + 1 + (-102)\/90. Solve 2*c + 3 - r = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 2*a**2 - a + 33. What is h(0)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24.621 + 24.691. Which is the closest to -1\/3? (a) 3 (b) r (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3521 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*a**3 - 42*a**3 - 10*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 560148590 and 0.5.\nAnswer: 560148590.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-2*o + 4*o - o)*((-2*o + o - 3*o)*(o - o - o**2) - 70*o**3 + 272*o - 272*o).\nAnswer: -66*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320*b - 20 = -k - 325*b, -2*k - 5*b = -20. Let c(m) = -m**2 - 8*m - 6. Let p(a) = 3*a + 1. Let j be p(-2). Let f be c(j). Solve k = -4*r - 3 - f for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -163, -155, -129, -73, 25?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10166395 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r**3\/8 - 92099*r**2\/8 = 0. Calculate r.\nAnswer: 0, 92099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, c: 1, n: 4}. Give prob of sequence cnn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d - 2*z - 2, 2*d - 29 = 5*z for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.052 rounded to one decimal place?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*i + 28272 = 14*i. Let y = -784 - i. List the prime factors of y.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.7 + 13.4. Let z = 11.767 - o. Let c = 0.061 - z. Round c to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m + 15783505 + 21316495 = 0. What is m rounded to the nearest one hundred thousand?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pqpppqpppqp. Give prob of sequence qpp.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + -4)*5\/(-6). Let z(r) be the third derivative of 0*r - 2\/3*r**3 + 0*r**4 - 1\/60*r**6 - 6*r**2 + 0*r**t + 0. Differentiate z(l) with respect to l.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 178*a**3 + 6*a - 4602 wrt a.\nAnswer: 534*a**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 713, 5478, 18365, 43436, 84753, 146378, 232373, 346800?\nAnswer: 493721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**5 - 548920*d**4 + 1097856*d**3 + 2195692*d**2 - 1097854*d - 1646772 = 0. Calculate d.\nAnswer: -274462, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 divided by 64?\nAnswer: 57\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50735?\nAnswer: 5, 73, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2653*b + 13303*b - 2659*b - 2681*b - 2659*b - 9*b**3 - 2651*b.\nAnswer: -9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -5, r = 5*s - 680 - 54. Suppose 0 = 4*v - 7*v + s. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*s - 15 = -7*s, 2*s - 6 = 0. Let k be ((-352)\/5)\/(-4) - ((65 - 56) + 6). Let 1\/5*t**5 + 4\/5*t - 6\/5*t**4 + x - 12\/5*t**2 + k*t**3 = 0. What is t?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, k: 1, q: 12, i: 1}. What is prob of sequence ky?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 28, 4, 2, -2352, -4.\nAnswer: -2352, -4, -3, 2, 3, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1520996 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*d**3 + 93*d**3 - d - d + (-3*d + 2*d - 2*d)*(d**2 + 0*d**2 + d**2) + 10 - 5*d**3 - 10 in the form s*d**3 + h + x*d + n*d**2 and give s.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1645878450 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 5*w**2 + 6*w + 6. Let t be y(-3). Suppose -9*p + t = -3. Suppose 0 = 6*s - p - 29. Solve s*c - 2 - 3 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 10*c + 10*c - 27*c + 18*c. Let y(x) = 96*x. Give y(d(t)).\nAnswer: 1056*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**1)**(-7\/6))**(-23))**(2\/39) assuming c is positive.\nAnswer: c**(322\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -20309 not equal to -19986?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9858.941 from -16180.515.\nAnswer: -6321.574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence httw when four letters picked without replacement from qqttwqwhq.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -94b (base 12) to base 16.\nAnswer: -54b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**6\/1980 - g**3\/2 - g**2. Let r(v) be the first derivative of b(v). Solve r(y) = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 2:51 PM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + 3 - (42 - -1). Let k be q\/(-16) - (-6)\/(-8). Solve -2*t - k = 0, 2*t + 1 + 1 = 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 7*g**3\/3 + 29*g. Let c(m) = -4*m**2. What is s(c(a))?\nAnswer: -56*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 7*m**2 + 15*m + 6. Suppose 0 = 7*u + 97 - 34. Let t be z(u). Let l(v) = 2 - t*v - 34*v + 64*v. What is l(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24099 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3188*l + 1494. Let y(z) = 1594*z - 755. Let o(d) = -3*a(d) - 5*y(d). What is the first derivative of o(u) wrt u?\nAnswer: 1594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*x = -0*x + 4, 2*b + x = 7. Suppose 0*w + b*v = -3*w + 9, -4*w + 3*v = 9. Suppose w = 5*n - 0*n - 35. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 874288 is divided by 120?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(19) + 0)**2 - (sqrt(19) - (2*sqrt(114))\/sqrt(6)).\nAnswer: 5*sqrt(19) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 831*h - 17. Let y(p) = -278*p + 6. Determine -3*k(g) - 8*y(g).\nAnswer: -269*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (240\/600)\/(12\/(-10))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.0913, -1\/5, 238 in ascending order.\nAnswer: -1\/5, 1.0913, 238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -570 = -2*n + 6*n + c, -2*n + 2*c = 280. Let m = -44 - n. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 250\/675*27 + -15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -32, -0.3, 2294.8 in ascending order.\nAnswer: -32, -0.3, -0.2, 2294.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t - 6. Let j be y(9). Let n = j + 1. What is the third derivative of 6*f**2 - f**6 + f**2 - n*f**2 wrt f?\nAnswer: -120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9*(-8)\/120 - (-64)\/140. Which is the closest to -2? (a) -8 (b) -1\/4 (c) 4\/7 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 u, 1 m, and 1 b when four letters picked without replacement from {b: 1, m: 2, g: 1, i: 2, u: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 + 3*f**3 - 3*f**3 + (-f + 0*f + 3*f)*(-2*f + 2*f - 2*f**2) - 5 - 576*f + 2*f**3 + 576*f)*((7 - 3 - 2)*(f + 3*f - 2*f) + 5*f - 3*f + 2*f).\nAnswer: -24*f**4 - 40*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, k: 1, b: 4}. What is prob of picking 2 b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4709078 is divided by 151.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 11) in base 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7288678026 and -2388.\nAnswer: -7288680414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 l, and 1 h when three letters picked without replacement from {z: 1, l: 1, c: 1, h: 2, v: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.8 + 6. What is the second smallest value in n, -1\/6, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i - 1. Let j(r) = r**2 - 31*r + 61. Let w be j(2). Let f(k) = -4*k + 1. Calculate w*f(y) + 5*a(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2342051 times -5?\nAnswer: -11710255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by -30\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iyi when three letters picked without replacement from {q: 1, x: 1, i: 2, y: 1, b: 1, z: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2094*y + 10424*y - 5345*y)*(-4*y + y + 2*y).\nAnswer: -2985*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owtwt. What is prob of sequence wt?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/251 (b) -0.5 (c) 2\/5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3115380 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 289 and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5*g**2. Let p = -5286 + 5293. Let q(m) be the second derivative of 0 + 1\/6*m**4 + 0*m**3 - p*m + 0*m**2. Give q(b(y)).\nAnswer: 50*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -272*d - 1676 + 2492 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*j - 87 + 15 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 5.4. Let h = g - -0.5995. Round h to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**9\/540 - w**5\/5 + 3*w**4\/4 - 17*w. Let m(s) be the third derivative of f(s). What is the derivative of m(q) wrt q?\nAnswer: -112*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288 = -22*g - 10*g. Let w be 72\/(-5888)*(-12)\/g. Is 0 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-54)\/(-15))\/(40\/100) - -22125 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1 + (-4 + 2 + 0)*(-5 + 0 + 3))*(-8 + 13 - 1)*(0*m - m - m).\nAnswer: -40*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 6*p**2 - 5*p. Let i be (-144)\/(-20) + 1\/(-5). What is the tens digit of u(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-1*(1 + 6*(sqrt(475) + (0 + sqrt(475) - sqrt(475))*-3 + sqrt(475))*-5 + 1)**2.\nAnswer: -7200*sqrt(19) + 10260024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -64, -0.32?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 46 - 37 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 - 105*y + 2700.\nAnswer: (y - 60)*(y - 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73 - 64. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 524634934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 289*c = -287*c - 13, 7*s + c - 52 = 0 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g. Let h(s) be the third derivative of -1\/24*s**4 + 2*s**2 + 0*s**3 + 0 + 0*s. Determine f(h(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 12:37 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 4*t - 0. Let y = t + -37. Is 44 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 0*z - 1 + 2\/3*z**3 - 3\/2*z**2. Find the second derivative of v(t) wrt t.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 328*h**2 + 327*h**2 - 655*h**2 - 4938*h**3.\nAnswer: -4938*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 117.3 + -116.8. What is the second smallest value in -9, f, -11, 0.4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 24. Suppose m*s - 8*s = -25. What are the prime factors of (-90)\/(-4)*((-12)\/s)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 10409\/12167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 + 61. Let l = o - 84. What is the highest common factor of 77 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*15*(-4)\/(-48). Solve -1 = -n*y + 9 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + a + 2*c + 182, a + 71 = -5*c. Put -5, 7, -1, a in decreasing order.\nAnswer: 7, -1, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10021022 (base 3) to base 10\nAnswer: -2384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w - 1. Let j be g(4). Let v(y) = 2*y**2 - 22*y + 7. Is v(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 4*i - 162. What is the remainder when i is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -19112.053?\nAnswer: -57336.159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j + 6. Let l be c(0). Suppose 0 = -2*r + 10 + l. Suppose 3*g + y - 53 = 0, -y = 5*g + r - 99. List the prime factors of g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 257696208 a multiple of 854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 - 38. What is the units digit of (-742)\/(-21) + 10\/g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 + 4632*a - 1787952.\nAnswer: -3*(a - 772)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3 = 2*z, -2*z = -z - 2. Let r be i\/(-4) - (-9)\/36. Let q = 32 - r. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10221003211 + 2?\nAnswer: 10221003213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5731 times 5390\nAnswer: -30890090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37 + 56 - 161) + 68?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -33343453 (base 6) to base 3\nAnswer: -1220021020120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-90) + 68\/18.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2930 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11114444881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.06? (a) 0.05 (b) -0.1 (c) -6\/5 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -652739935*m**3 + 575346070*m**2 wrt m.\nAnswer: -3916439610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6 and 48688911.949.\nAnswer: 48688905.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/6)\/((-4)\/(336\/(-770))).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r**2 + 0*r**2 + 4*r**3)*(-5*r - 63621 + 4*r + 66333 - r) - 2 - r**4 + 2 as w + s*r**4 + p*r**2 + j*r + b*r**3 and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 10*a + 2. Calculate v(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*b - 109 = -5 - 401 - 649 for b.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26141 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 tens digit of 12032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2080899 to the power of 1\/3, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 11 + -55 + 28 - (-1 - 5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -4.9 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b - 5. Let c be y(5). Let w be c\/35 - 46\/(-14). Is 65\/w + (-1)\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 5*p + 4*p)*(3*p**2 - p**2 + 0*p**2) + 2*p**2 - p**3 - 2*p**2 + p**3 - 4*p + 4*p + p + 1270 - 18*p**2 - 650 - 615 - 29*p**3.\nAnswer: -33*p**3 - 18*p**2 + p + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 107064 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: Expand (2*g**3 - g**3 - 4*g**3)*(-g**2 + 3*g**2 + 0*g**2) + (-5*g**4 + 3*g**4 + g**4)*(3*g - 5*g + g) + 3*g**5 + 0*g**5 - 2*g**5.\nAnswer: -4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29252, -58589, -87926?\nAnswer: -117263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*193.944.\nAnswer: -1551.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/6)\/(6 - (-3 - (-9555)\/1064)). Which is smaller: 19 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.343594543 rounded to two decimal places?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 131611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*p + 2. Let y be (-8 - -7)\/(1\/12). Does 29 divide p + 66*y\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(24)\/(2*sqrt(12)*-5) + sqrt(32) + -4 + 3)**2.\nAnswer: -39*sqrt(2)\/5 + 1571\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7595.435mg to tonnes.\nAnswer: 0.000007595435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d = -17*d. Solve 9*b - 4*b + 5 = d for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-1)*(-104)\/8. Suppose -152*n + 153*n = 4. Solve 1 = w - 4*t, -n*t = 4*w - w + z for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (0 + -17 + 21)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 6 = 2*d, -17 = -3*o - o - 5*d. Let y be ((-15)\/(-6) + o)*2. Which is smaller: y or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (1 + -3 + (19 - 19) - 5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 936430221137446777.00000033 - 936430216812178104. Let c = 4325268705 - z. Let x = 32 - c. What is x rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37205 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 22 (b) 2 (c) 2528 (d) -1\/5 (e) -9\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/7 and 230 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4 = 0, 45*z = -j + 41*z + 44. Differentiate -j*q - 2*q**2 + 4 - 12*q + 219 - 48 - 33 with respect to q.\nAnswer: -4*q - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3648829 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-22)\/18 - 1 - 20\/(-90). Let q be (-1254)\/817 - 3\/d. Let h = 1253\/172 + q. Calculate the common denominator of -55\/8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -232*b**6 - 663*b**3 - 2*b**2 - 6221078?\nAnswer: -27840*b**3 - 3978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 47*j**2 - 23 + 0 - 5*j.\nAnswer: -47*j**2 - 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04 - -0.44. Let i = 0.5 - 0.4. Let l = -344.3 - -344. Which is the closest to l? (a) z (b) i (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 252.47775 * -1\nAnswer: -252.47775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqyyyggqyqgqq. What is prob of sequence ygq?\nAnswer: 25\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -21987, -22034, -22093, -22170, -22271?\n\"Answer: -q**3 - 40*q - 21946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 492*i + 6*i**3 + 2*i**4 + 623*i - 1262*i as q*i**2 + g*i + x*i**3 + a + r*i**4 and give g.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10000000100100101 (base 2) to base 3\nAnswer: -10100022010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in -1.3, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*h - 254*h + 107*h + 42*h + 54*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64\/3 - -18. Which is the fourth biggest value? (a) 3 (b) -3 (c) v (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 9. What is the first derivative of -s**3 - k + 1 + 2*s**3 wrt s?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23048 divided by 6\nAnswer: -11524\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -12*a + 7. Let k be x(-7). Suppose 12 = -89*z + k*z. Suppose 5*f + z - 6 = 0. Solve 5*q - 4*c - 7 + 19 = f, 12 = -q + 4*c for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -w - 1233. Let o = w - -1058. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208388198 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36.43 - 10.35. Let r = -31.8 + 5.8. Let h = y + r. What is the third biggest value in -4\/7, h, 2\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*t**5 + 140*t**4 - 29*t**3 + 2*t**2 - 49546.\nAnswer: -300*t**2 + 3360*t - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*w + 4 = 0. Let f be w*(10\/16)\/5. Sort 0, f, 1.\nAnswer: 0, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/5)\/(12\/40). Suppose 7*a - z = x*a - 5, 0 = a + 2*z + 11. Let t be ((-3)\/(-6))\/(a\/378). What is t rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 2:34 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 380599668245 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 (base 10) in base 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.053 - 0.247. Suppose 211 = -4*u - 5*c, 103 = 4*u - 2*c + 321. Which is bigger: q or u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j - 9. Let k be v(6). Let r = -20 - k. Suppose 0 = -4*h - h, -3*o + 3*h + 6 = 0. What is the third biggest value in o, r, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p = -5*p + 35 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 8*n - 6. Let f(p) = 10*p**2 + 2*p + 1. Let w be f(-1). Let t be j(w). Suppose -t*s + 0 = -15. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7679, -7662, -7645, -7628, -7611, -7594?\nAnswer: -7577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1\/56, -4\/49, -1\/5, 15?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 20*t = 18*t + 12, -8 = -c - 2*t. Let m = -0.27 + -0.03. Let b = m - 0.2. Put c, 5, b in descending order.\nAnswer: 5, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*q - v, q - 4*q = -5*v - 17 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1944203 to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3206 + -2270. Calculate the highest common divisor of r and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o = 8*o + 1771. What is the tens digit of 824\/10 + o\/55 + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2514 + -4?\nAnswer: 2510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 18 = 2*s, -791 = -31*s - 215 - 242 - 241 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*x**3 - 24*x**2 + 24*x**2.\nAnswer: 66*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -1 + 0*p - 3\/2*p**2 - 2\/3*p**3. Find the second derivative of w(g) wrt g.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**2*q**3 + 32*j**2*q**2 + 2*j**2*q + 63*j**2 - 4*j*q - 2*j - 13*q**3 wrt q.\nAnswer: -6*j**2*q + 64*j**2 - 78*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*277333.\nAnswer: 277333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5770494943.3310149 + 5770495347. Let m = -422.66898519 + r. Let b = 19 + m. Round b to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*o = -93 + 37, 2*o = 2*w - 24. Let m be (24 + -23)\/(2\/w). Solve 4*v = -5*f - 37, -3*v - f + 6 = -m*f for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b + 3. Let m(x) be the first derivative of x**2 - 10*x - 37. Let t(a) = -3*m(a) - 8*z(a). Calculate t(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3223, 3354, 3703, 4378, 5487, 7138?\n\"Answer: 18*n**3 + n**2 + 2*n + 3202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -37? (a) -3\/8 (b) 1\/6 (c) -0.17 (d) -3\/52 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 15 = -3*p, 16*z - 4*p = 19*z + 20 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2162412 (base 7) to base 8\nAnswer: -1012212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*m - 59*m + 4340 = 0. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6*(1 - 2) - (-11)\/44 and (-394)\/8 + 2\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r + 3*r**3 - 19*r**2 + 7*r**2 - r + 2 - 73536*r**4 + 73538*r**4 in the form z*r**2 + d*r**4 + a*r**3 + x + w*r and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 145423 + -24722047\/170. Let a = g - -1\/170. Suppose -4*c + 16 = -2*b, -2*c + 25 - 53 = 5*b. What is the closest to c in a, 1.6, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73 - 70. Let d(w) be the first derivative of w**4\/4 - w**3\/3 - w**2 - 4*w + 1. What is the units digit of d(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 5:14 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) 0.3 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0*t = 0. Let i = 3 - t. Solve i*l = 7*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppk when three letters picked without replacement from {p: 14, k: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 314 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 104170 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k + 61. Let x be y(7). Let z = -52 + x. Solve 2*b = -z*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*h + 160 = 4*j, 0 = 2*j + 5*h - 99. Calculate the greatest common factor of j and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -3 (b) 59172 (c) -4\/3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f**2 + 243*f + 124. Give m(-48).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 m, and 1 l when four letters picked without replacement from mmmmmmmbblmlm?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - f - 3)*(-3 - 5 + 0) + 36*f + 16*f - 28*f.\nAnswer: 32*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence njqt when four letters picked without replacement from {t: 2, j: 2, n: 4, q: 1, r: 8, p: 3}?\nAnswer: 2\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -226863 times -0.0605\nAnswer: 13725.2115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 48*m**2 + 51*m + 478. Does 4 divide l(49)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14925*b**2 + 2027*b**2 - 2370*b**2 in the form o*b + d + h*b**2 and give h.\nAnswer: 14582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -111120?\nAnswer: -111122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/9? (a) -0.4 (b) 0.2 (c) -2\/1513\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 1 - 36*k + 2 + 135*k. Suppose -16*x + 3 = -13. Is g(x) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*y + 25*y - y)*((-2*y**2 - 3*y**2 + 4*y**2)*(-4 + 7 - 2) - 3*y**2 + 7*y**2 - 2*y**2).\nAnswer: 57*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 8, u: 2, z: 7, o: 3}. Give prob of sequence zo.\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.74096 centuries?\nAnswer: 889.152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13867?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -f**4\/2 - 4*f**3\/3 - 3*f**2\/2 - f - 5. Let g be j(-2). Which is bigger: g or 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -31) + (-50 - -17 - -21) + (7 - 1).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 20 = -12*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 533800908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t = -109 + 37. What is the remainder when 16 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 4) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llxrbrkbcbbbl. What is prob of sequence kxll?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5376 by 256.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13807 = 143*x - 11493 + 418. Solve x = -2*i + 170 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -20. Let v = 11 - 3. Let p = v - o. Is -6 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7188 - -7189. Let h = -3.2 - -3. Which is the third smallest value? (a) s (b) -4 (c) h (d) -2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 35768?\nAnswer: 35765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a minute in seconds?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -254 - -559. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 31 = a, -3*a - 2*t + 4 = -21. What is the remainder when 31 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*y + 54 + 6*y - 14*y)*(3*y**3 - y**3 - 3*y**3).\nAnswer: -y**4 - 54*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10 - (-5 + 2))*2. Let k = c - 21. What is the remainder when 12 is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -107*n**3\/6 + 42*n**2 - 294*n. Differentiate l(c) wrt c.\nAnswer: -107","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 6:17 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(2) - sqrt(288)\/sqrt(9)).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ze when two letters picked without replacement from {z: 1, t: 3, e: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 12*g - 147. Suppose -2*f + 16*f - 1120 = 0. Let w = f + g. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 1148?\nAnswer: -1147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 423250?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/4*((-448)\/(-63))\/(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 34357\/5405 - 160\/25. Let u(m) be the first derivative of -m**4\/4 + m**3 - 2*m**2 + 3*m - 2. Let c be u(2). Which is smaller: j or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -30180*o**2 - 86*o. Let a(g) = -g. What is m(a(s))?\nAnswer: -30180*s**2 + 86*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 134580 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-260)\/(5 + 8)*2\/16*-2. Solve -5*b + 25 = 2*u, b - 13 + 8 = a*u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 16.1857l?\nAnswer: 16185.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.237139512 rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7456039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 29 = -105*x + 76 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + -2 + -1)\/(-1). Suppose r = -f + i + 62, -4*f + 2*i + 219 = -39. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 247, 410, 497, 502, 419?\n\"Answer: -m**3 - 32*m**2 + 266*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 29 + 540\/(300\/(-15)). Suppose a - 13 = 6. Solve -2*n - 13 = 2*o - 5*o, 5*o = z*n + a for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -4*u + 3*p - 28, 12 = u + p. Suppose 15*f - u*f = 14. Solve 5*i - f*a = -a + 7, -i - 2*a - 3 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1033 - 1235 = 211*q - 3789. Calculate the remainder when 25854 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a = 13*d + 123, -2*d = 4*a + a - 6589 + 6593 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 940.7 - 939.0468. Let t = k + -1.71. Let z = 0.05679394 + t. Round z to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22040 (base 5) to base 13\nAnswer: -8cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 7*y - 22*y. Let u(w) be the third derivative of 0*w + 1\/8*w**4 + 1\/120*w**6 + 4*w**2 + 0 - 5\/6*w**y - 1\/12*w**5. Determine u(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/7*-10*(-26)\/260.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -654290, -5234429, -17666274, -41875679, -81788498, -141330585, -224427794, -335005979?\n\"Answer: -654309*z**3 + z**2 + 21*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -12 + 11 + 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of i**3\/3 - 81*i - 2. Let z(k) = 252*k. Calculate z(s(b)).\nAnswer: 504*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27298*g*p + 117341*g wrt p.\nAnswer: 27298*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 2:24 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/3 - 4\/3*f**2 + 0*f.\nAnswer: -4*(f - 2)*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 3:54 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b3334b7 - -b?\nAnswer: -b3334a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10144917.\nAnswer: 3, 19, 41, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 819 - 824?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/207 and -139\/198.\nAnswer: 4554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-10)\/75*1134\/2016.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1513*q**3 + 88*q**3 + 650*q**3 - 1651*q**3.\nAnswer: -2426*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/sqrt(250))**2 + sqrt(1584) + 4 + sqrt(1584).\nAnswer: 111\/25 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12 (b) -3\/2 (c) -3\/5 (d) 126 (e) 23.6 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2329\/(-748) - 13\/(-4).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57 + -57. Suppose -14*z + 11*z + 186 = q. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n**3 + 1744*n**2 + 2*n - 872. Determine q(436).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 5:41 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 486 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (24\/16)\/((-1)\/(-2)). Let i(q) = 3*q**3 - 3*q**2 + 3*q. Let c(a) = -3*a**3 + 4*a**2 - 4*a. Determine j*c(w) + 4*i(w).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ex when two letters picked without replacement from eexxxxoxoxxexxxxx.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - m - 1)*(3 - 3 - 2)*(-2*m**3 - 3*m + 3*m) - 56*m**4 - 47*m**4 + 160*m**4.\nAnswer: 53*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -7, 3, 2\/29, 6 in ascending order.\nAnswer: -7, 2\/29, 3, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40645?\nAnswer: 5, 11, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 433*p - 268*p - 2 - 211*p - 4 + 6 + 1.\nAnswer: -46*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17448*b**4 + 3263 - 3263 + (4 - 4 - 2*b)*(b**3 + 0*b**3 - 3*b**3).\nAnswer: 17452*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -520050042 divided by -6?\nAnswer: 86675007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137152372*g**2 + 137152372*g**2 + 2*g - 245*g**3.\nAnswer: -245*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 38 = 14. Suppose 0 = 3*x - 4*x + 6. What is the lowest common multiple of x and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-45) - 28\/(-15). Let m be (-2)\/3 + 1\/(-3). Sort m, t, -2 in increasing order.\nAnswer: -2, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**6\/120 + 7*y**5\/60 - 5*y**4\/24 - y**3\/6 - 2*y**2. Let o be g(6). Suppose 0 = -3*k + o*k. Solve h + 2 + 3 = k for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 9. Suppose 4*r + 2 = 5*r. Calculate the highest common divisor of w and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36.29888 times 25\nAnswer: 907.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.173080128 rounded to 5 dps?\nAnswer: -0.17308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39\/185 + -2\/185. Let w(l) = -71*l + 494. Let k be w(7). Let n = -2 - -2. Which is the closest to n? (a) 2\/7 (b) k (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 959397 is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21630 - 21614. Sort 12, 2, 0, j, -4 in descending order.\nAnswer: j, 12, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(2) + 4 + 3.\nAnswer: sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 2*h + 10. Let k(y) = 29*y - h + 31*y - y**2 - 56*y. Let b(w) = w**2 - w - 2. Let r be b(3). Give k(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -4*k - k - 3*l, 2*l - 44 = -4*k. Solve 2*a - 7*a + i - 6 = 0, 4*a = 5*i + k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 8310 = 4*q + 6*w, 2*q = -5*w + 4149. What are the prime factors of q?\nAnswer: 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hjn when three letters picked without replacement from {h: 3, n: 1, j: 2, v: 4}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8039, -8009, -7979?\n\"Answer: 30*w - 8069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -401121 + 2?\nAnswer: -401115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 8, -2*y = -r - 3*y - 11. Let m be (-531)\/r + 6\/(-15). What is the highest common factor of 10 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 261 and 411.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.11 (b) 149 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 32035.991\nAnswer: -32032.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeukeueueuk. What is prob of sequence ueke?\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 times -150412?\nAnswer: 2105768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -872 = 8*v + 2400. Let t = v + 589. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11330300 + -1?\nAnswer: -11330301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (210\/33)\/((-436)\/1199) + 20.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 8:04 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 273*b. Let d(q) = -q**2 + 55*q - 98. Calculate d(x(n)).\nAnswer: -74529*n**2 + 15015*n - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92976.99 days to microseconds.\nAnswer: 8033211936000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 87 + -224 + -12 + 21 + 6?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 100 = 7*k. Suppose -k = 5*s + 5*n, 4*s + 3*n = -2*n - 21. What is the biggest value in -1.2, s, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*t - 8*t = 1028, -5*t = -5*m + 1030. Let f = m + 212. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) 41 (c) -10 (d) -0.3 (e) 5 (f) -4 (g) 392\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b7b - -1bab0?\nAnswer: 1af35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 11*i + 2. Suppose 19 = 4*m - 1. Let a be -1*4\/8*(m - -1). Let t be 0 - ((-45)\/a + -4). What is s(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -w**4\/12 + w**3\/2 + 3*w**2 + 3*w + 2. Let c(y) be the first derivative of q(y). What is c(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/((-5994)\/2035))\/(30\/72)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001110011011011001 (base 2) in base 14?\nAnswer: 850db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/25 of a minute?\nAnswer: 16800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 24 = 5*r - 18, 14 = 5*r - v for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/29 and -48\/23.\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**5\/11 + 104*y**4\/11 - 1352*y**3\/11.\nAnswer: -2*y**3*(y - 26)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or 106562.4?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -18. Let f be (-105)\/28*(-32)\/o. Let m = f - 13. Calculate the remainder when 13 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 17*z. Let m(d) = -19*d**2. What is o(m(u))?\nAnswer: -323*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**5 + 307*d**4\/2 + 1247*d**3\/2 + 501*d**2 - 326*d - 220 = 0.\nAnswer: -2, -1\/2, 2\/3, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35706051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*x + 2. Let j(b) = -b**2 - 5*b + 5. Let t be j(-10). Calculate the remainder when 10\/t + (-454)\/(-18) is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.4 (b) 3 (c) -86 (d) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -9, -26, 7 in decreasing order.\nAnswer: 7, 5, -9, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 11) to base 4.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.3 - 0.3. Let b be -14 + 17 - (-32)\/(-10). Is g equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1114 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17385 and 3705.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + (-1)\/((-3)\/(-6)). Let i(c) = -2*c - 9. Let a be i(z). Let g = 1613 - 1613. Solve g = -2*s - a*p + 1, -3*s + 8*s = 2*p - 26 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(30))\/(sqrt(96) + (sqrt(96) - sqrt(96)*-1 - sqrt(96))).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4932, -9924, -14916, -19908, -24900?\nAnswer: -29892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**1*c**(-3))\/(c**2\/c**(2\/7)) assuming c is positive.\nAnswer: c**(-33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 8, -3, 15, -1\/2.\nAnswer: -3, -1\/2, 0.5, 8, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -43*d**2 + 1192*d + 192. Give c(28).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 7:59 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + (-2)\/(-2))\/(20\/40). Let c be ((-645)\/25)\/((q\/5)\/(-2)). Suppose -5*i - c = 3*u - 5*u, -3*i = 3*u - 204. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1283722 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (6\/24)\/((81\/(-54))\/((-24)\/(-22)))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -10*f**2 + 5*f**2 - f**3 - 4*f + 0 + 2. What is the units digit of l(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -379740088 divided by -4?\nAnswer: 94935022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1135 + -1131. Is 40\/13 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1073 - -585. Let y = -503 - w. Which is the smallest value? (a) y (b) 2\/13 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3646968, -3646969, -3646970, -3646971, -3646972?\n\"Answer: -v - 3646967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/4)\/(5\/10). Let c(y) = 2*y + 8. Let m be c(w). What is t in 3*t - 4*t + 2*t + 2*t**2 - t**m = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 - -27. Let b be (0 - 4) + 3*x*-1. Does 23 divide -23*b\/10*-14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-250)\/(-4) + 6\/4 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 5, 4, -3 in decreasing order.\nAnswer: 13, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 251*y**2 + 214*y + 9548. Give p(252).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42247037 is divided by 320?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 29. Let k be (-164)\/(-24) + (-12 - -5). Which is the closest to -5? (a) t (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w - 7. Let t(h) = -10*h + 13. Let b(k) = -5*l(k) - 3*t(k). Calculate b(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-288)\/(-48))\/((-112)\/(-4))*6?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4*2*(sqrt(18)\/sqrt(6) - sqrt(3)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41025 divided by 75.\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 1\/2, -1, 0, -0.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-7))**(-23\/2)*g**(-2\/33)\/(g*((g**(-1\/9)\/g)\/g)\/g) assuming g is positive.\nAnswer: g**(7034\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + (-26)\/8)\/((-5)\/20). Put p, -19, -14 in increasing order.\nAnswer: -19, -14, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -16*p + 0*p**3 + 1\/12*p**4 + 21\/2*p**2 + 0. Differentiate v(a) with respect to a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-16)\/20)\/(2\/10). Let r(j) = -4*j - 12. What are the prime factors of r(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -14761 and 192415.\nAnswer: 177654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 9*l**3\/10 - 41985242*l**2\/5 + 195862273536453*l\/10 + 21762476910729\/5 = 0?\nAnswer: -2\/9, 4665027","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3337088 is divided by 232.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -a + 1986*a**2 - 186 + 159 + 30 as o*a**2 + n*a + l and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 - -98. Suppose 8*y - 3*y = -40. Let c = y + 23. What is the remainder when w is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 11. Suppose 3*k = -w - 0*k - 4, -k + 8 = -p*w. Which is greater: w or -6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 - 60*c**2 + 117*c + 1620.\nAnswer: 3*(c - 15)*(c - 9)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 581\/15 + -115\/3. Let c = 515 - 510. What is the nearest to m in c, 0.5, 28?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*10168610.4\nAnswer: 20337220.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 46855*j**2 - 398*j - 1571. Is q(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -759*j. Let m = 227 - 150. Let k(b) = 20*b. Let r(a) = m*k(a) + 2*v(a). Let y(f) = -6*f + 15*f - 7*f. Calculate r(y(x)).\nAnswer: 44*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 bigger than -1\/5301?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxgvgxxvvvvxxgvx. What is prob of sequence ggx?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -559*l + 1336*l + 620*l + 1097*l = -202014 for l.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000008371514809 to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 21. Let a be 6\/n*160\/24. What are the prime factors of (a\/(-16))\/((-1)\/134)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147075795 is divided by 575.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 989*m**3 - 988*m**3 + 3*m - 4*m**2 - 15*m. Let o be d(6). Which is greater: o or -2\/27?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 32725 + -1611?\nAnswer: 31114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8980*m**2 - 213 + 213 - 10823*m**2.\nAnswer: -1843*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 11*g**2 + 11*g - 8. What are the prime factors of w(5)?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/9)\/((-4)\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 5*q - 17 - 1, 0 = -q - 2*o + 6. Calculate the remainder when 10 is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 916*h - 36 = 907*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2485, 4968, 7451, 9934?\n\"Answer: 2483*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 572899*q - 2291623. Calculate h(4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 10\/1213, 0.3, 0.017623?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 16. Let q = -134.3 + 134.8. Which is the fourth smallest value? (a) o (b) q (c) 0.6 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from syhffsffv. Give prob of picking 2 s and 1 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125, 118, 137, 194, 301?\nAnswer: 470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1157 - -4?\nAnswer: -1153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -458*w**2 - 22*w + 22*w + 365*w**2 + 199*w**2.\nAnswer: 106*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21702083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-82*(-3)\/(-2)*(-3268)\/(-9804))\/1\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -637 divided by 1?\nAnswer: -637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*i + 0*i + 7*i)*(1 + 6 - 3)*(-3*i**3 + 0*i**3 - 11*i**3) to o*i**2 + r*i**3 + b + s*i**4 + h*i and give s.\nAnswer: -1120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, q: 1, u: 4, j: 1}. Give prob of sequence uu.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 23, 33, 33, 17, -21, -87, -187?\n\"Answer: -i**3 + i**2 + 14*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t**2\/5 - 99*t\/5 + 81\/5 = 0. What is t?\nAnswer: -9, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3374*j + 32. What is the thousands digit of w(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*d = -6, -4*j - d + 1 = 4*d. Put -4, 12, j, 4 in descending order.\nAnswer: 12, 4, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 647 - 572 = 25*f. Let a be (-19)\/2 - (-1)\/2. Let p be 7 + (f\/9 - 15\/a). Solve 3*i = -0*i - p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1340*w + 10117 = -19792 - 2251 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -227 < -255?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.3, -7, 0.4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18 - -4?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ih when two letters picked without replacement from {h: 1, e: 1, m: 2, i: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of d**3\/3 + 5*d**2 + 19*d + 2. Suppose 2*q + 44 = 4*v, -3*q + 173*v = 176*v + 3. Calculate t(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*b + 24*b + 31 = -v, -3*v - 19 = -4*b - 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*f**2 + 54*f**2 - 113*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9848 + -9850. Let h(q) = -11*q**3 + 1. Determine h(f).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -10. Which is the nearest to 1? (a) -0.5 (b) q (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2100)\/1960)\/((10\/20)\/((-14)\/(-96)))?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/18376 and -9\/32.\nAnswer: 73504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -663?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2280*39.\nAnswer: -88920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58515.\nAnswer: 3, 5, 47, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wqqo when four letters picked without replacement from {k: 2, q: 2, u: 4, o: 3, j: 2, w: 2}?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29\/51508 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/4))**(-2\/13)\/(q**4*q**(-3)\/q) assuming q is positive.\nAnswer: q**(-1\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 84 + 2\/1 + 4. Suppose 0 = 2*i - u. Suppose -43*f + i*f = 170. Calculate the remainder when f is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17480*n**3 - 50*n**2 + 9?\nAnswer: 104880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8676941 and 5642?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.9319*54.\nAnswer: -266.3226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 4 - 3)*((v - v + v)*(0 + 3 - 1) + 2*v + 29*v - 7*v) as r + i*v and give i.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -20.7 and 9986025.0291.\nAnswer: 9986004.3291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2109860763?\nAnswer: 3, 1553, 452857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 11:30 PM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 6*z**2 + 3*z - 7. Let n be s(-5). What is the third derivative of 11*y**n - y**2 - 14*y**3 + 3*y**2 - 28*y**3 wrt y?\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a - 5. Let j be (6 - 13\/2)*-6. Determine g(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/77175 and -46\/848925.\nAnswer: 848925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 801335, 801330, 801319, 801302, 801279?\nAnswer: 801250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -144, -185, -228, -273, -320, -369, -420?\nAnswer: -473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {p: 10, z: 10}?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(6 - 42) - 979\/(-99)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2034 - -2029. Let w = 5 + -5.3. Which is the nearest to -2\/3? (a) j (b) w (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -85, -180, -323, -520, -777, -1100?\nAnswer: -1495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 585*j - 2*j**3 - 3 - 1150*j + 576*j + 28*j**3 + j**4 + 2*j**2 to the form u + m*j + t*j**3 + a*j**2 + v*j**4 and give t.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160 = -4*u + 2*b, -5*u - 51*b + 166*b = 53*b + 57*b - 190 for u.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/25110041 and 83\/132?\nAnswer: 301320492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/(-5))\/4)\/((-3)\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0779709 decades to centuries.\nAnswer: 0.00779709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -5*r**4\/3 + 4*r**3\/3 - 18*r**2 - 9223*r. Let m(u) = -13*u**2 + 5*u - 24. Determine 5*l(s) - 8*m(s).\nAnswer: 4*s**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (48 + -38 - 26) + -8 + -1?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -71*z**3 + 2*z**2 - 1. Let v be x(-1). Calculate the greatest common factor of 18 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 + (67 - 61) + 2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.1 (b) 2\/7 (c) 2\/3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 5:29 PM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -498 = 5*l + 1402. Let i be (6\/(-15))\/((-2)\/l). Calculate the common denominator of i\/15 + (-2)\/(-3) and -57\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118940212 a multiple of 1493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 + -244. Let r = z - -214.14. Let w = 1757\/9 + -195. Is r at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.523 rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24\/4339 + -321009\/798376. What is the common denominator of -83\/24 and s?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5741 smaller than 223846\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 17. Suppose 35*d + 100 = 40*d. Suppose -w*a + 4*g = -d, -2 = -a - g + 3*g. Calculate the highest common factor of a and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, x: 1, v: 1, f: 5}. Give prob of picking 1 v and 1 x.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -12.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(4\/9)*n)\/(n\/(n\/((n*n*n**(-1)\/n)\/n))*n)*(n\/(n\/(n*n*(n*n*n\/((n*n\/(n\/n**(-2\/3)*n)*n)\/n))\/n))*n)**(-45))**30)**38 assuming n is positive.\nAnswer: n**(-867160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43\/116 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*j - 60*j - 11 - 59*j + 202*j + 226*j.\nAnswer: 350*j - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3)*(25*p**5 + 22*p**5 - 13*p**5 + (2*p**2 + 2*p**4 - 3*p + 3*p)*(13 - 13 + p)).\nAnswer: 108*p**5 + 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cbucbcccqmcb. What is prob of picking 1 c, 1 u, and 1 m?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 3*b + 4*b)*((-2*b - 2*b + 3*b)*((-1 - 5 + 4)*(-1 - 3 + 6) - 1 + 1 - 1 + 5 - 3 + 0) + 8*b - 5*b - 47*b).\nAnswer: -82*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m**2 + 4*m**2 - 5*m**4 + m + 7*m**3 + m**5 - 4*m**3 - 5*m**5 = 0. Calculate m.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - w = -4*d + 31, -5*d + 49 = -w. Let c be 3\/(-6)*(-3 + d). Let j be ((-11)\/c)\/(10\/90). What is the greatest common divisor of j and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eoow when four letters picked without replacement from oaewaeawoa.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.57 - 0.4. What is i rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of i**4\/24 + i**3\/6 - 3*i**2 - 5. Let u(k) be the second derivative of p(k). What is u(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 4\/9, -0.4, -2\/7, -1\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**3 + 21599*b**2 - 692057*b + 2920185 = 0.\nAnswer: -21631, 5, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3483 + 581?\nAnswer: 4174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.44 (b) 62 (c) -1\/6 (d) 3\/11 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 16*w**2 - 13*w - 18. Let f be x(15). Let r be 217\/62*f\/7. Suppose r*c - 24 = -2*c. Solve -u + 0*u = -c for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 less than 10238.72?\nAnswer: 10238.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 2) + -2 - -3. Let s be 3 - (0 - -1) - 2. What is the smallest value in 1\/4, m, s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 26\/(-455)*(0 - -5). Let w = 57 - 58. Let l = -3 - -5. What is the closest to -0.2 in l, q, w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/(-3))\/(5\/((-10)\/4)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-3)*1\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 2*w + 1. Let m be q(3). Let t(c) = -11*c**2 - 26*c**2 + 38*c**2 - 2 - 4*c. Calculate t(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 91 + -90.96. Let v = -6 + 3. Let g = -96.1 + 96. Which is the closest to g? (a) r (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 5*y**3 - 3*y**2 + 3*y - 3. Let c(v) = 6*v**3 - 4*v**2 + 4*v - 4. Give -3*c(a) + 4*n(a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -8 + 5 - (0 + 2 - 173). Let v be l\/(-36) + (-2)\/(-3). Let y(c) = -14*c + 7. List the prime factors of y(v).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 12790350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q - 9. Let z(s) = -s - 10. Let n(a) = -5*h(a) + 4*z(a). Let f be 35\/6 - 1\/(-6). What is n(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.9 - -6. Let v = -0.3 - -0.4. Let z = t - v. Sort z, -1, -0.4 in descending order.\nAnswer: z, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*j - 0*l - 30, -2*l = 4*j + 32. Let z = -7 - j. Put z, -1, 2 in increasing order.\nAnswer: -1, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 186043647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 357, 356, 355, 354, 353?\nAnswer: 352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3 - 114399*l**2 + 4002704*l + 4117104 = 0 for l.\nAnswer: -1, 36, 114364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 2. Let r(x) = 7*x + 10. Suppose -16 = 2*f - 4*i, 5*f = 13*i - 15*i - 4. Let l be r(f). Give s(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 13 = 4. Let q = -0.34 + -0.01. Let m = q + -0.05. Sort t, m, -0.3 in decreasing order.\nAnswer: t, -0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -70, -97, -122, -139, -142, -125?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + i - 2*i)*(-57 - 36 + 53).\nAnswer: 40*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*b**3 + 68*b**3 - 20*b**3 - 3*b**4 - 14*b**3 - 19*b**3 + 2*b - 2 in the form q + z*b**3 + y*b + d*b**4 + p*b**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q - 6 = -18*q. Suppose 0 = y - 5*y - 8. Let i be -1*(q - (9 + y)). Solve 3*d + i*x = -17 - 18, -5*d - 3*x - 37 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwdwdd. What is prob of picking 2 d and 1 w?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**3\/6 - q**2\/2 + 2*q. Let j(v) = v**2 - 7*v - 2. Let x(y) = j(y) - 6*z(y). What is the tens digit of x(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110536336 to the nearest integer?\nAnswer: 10514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -4*c - f, 3*f = 3*c - 0*c - 9 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011 (base 5) to base 4.\nAnswer: -2003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 3*t - 6*t - 10, 0 = -5*t - 10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 958 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25916240 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74848 - 445966 = -6*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 165*i - 3101. Give u(-17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -270, -1076, -2418, -4296, -6710, -9660, -13146?\nAnswer: -17168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 230 - 2. Suppose -b*g + 15299 + 585 = 0. What are the prime factors of g?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 466650 or 468577?\nAnswer: 466650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-29)\/((-7308)\/(-140)))\/((-2530)\/(-11)*(-3)\/36)?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 381 = 5*s + 76, 89 = s + 5*u. What is the units digit of s\/10*(-10)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101130113313 (base 4) to base 7\nAnswer: 53603244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*1*-1*(3 - -34). Let w = k + -36. Suppose -26 = -2*l - 0*l. What is the highest common factor of w and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -9. Let t = 4 + v. Let b(j) = 12*j + 11. What are the prime factors of b(t)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174527 divided by -318?\nAnswer: -174527\/318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-210)\/(-75))\/(-2*(-4)\/(-20))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3130002112 (base 4) in base 13?\nAnswer: -2572c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-84)\/(-56))\/((-6)\/(-8)). Suppose -3*l = -t*k + 1, 3*l + 13 = k + 4*l. Suppose -7*v - 1181 = -k*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -335*j**3 - 5*j**2 + 11*j - 10. Let d(g) = 67*g**3 + g**2 - 2*g + 2. Give -11*d(o) - 2*w(o).\nAnswer: -67*o**3 - o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10073132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 54 = 5*t - 218, 3*i - t = 158. Suppose 50*m + 921 = i*m. List the prime factors of m.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 17.2. Sort u, 2, -2.\nAnswer: -2, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*o = 22, -2*o - 2 = u - 12. What is the smallest common multiple of u and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 + x - 23. Let o be t(5). Let p be (-4*40\/o)\/((-5)\/2). Solve 0 = p*w - 4 - 2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*g - 1694 - 994. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*h - 143*h + 2030 = 0. What are the prime factors of h?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + sqrt(13)) - sqrt(13))*-1 + sqrt(52)\/(sqrt(12)\/sqrt(3)) + sqrt(26)\/(2*sqrt(2)) - (sqrt(1573) + 1 + -1 - (sqrt(1573) + -2 + -3)).\nAnswer: -4 + 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 40\/(-12)*(-3)\/2. Suppose -2*h + 7*h + 25 = 5*c, -4*c = -m*h - 23. Suppose 2*z - c*v = 18, 3*v = 2*z - 16 + 1. Solve -2*p - z = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**7)\/b)\/((b**(-18)\/b)\/b*b))\/(b*b**(-32)*b\/b**(-16)) assuming b is positive.\nAnswer: b**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of h**4\/12 - 4*h**3\/3 + 4*h**2 - 3*h - 13. What is k(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3770415 is divided by 49.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 8 = -2*b + 29, -5*b - 10 = 0. Calculate the remainder when (-1 - -2) + d + 51 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 25. Let t(g) be the second derivative of 0*g**3 - 2\/45*g**5 + 0*g**2 - g + 0 - 1\/54*g**i. Factor t(q).\nAnswer: -2*q**2*(4*q + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (4 + (1 - -3) + -10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8891485*o**2*p + 139*o**2 - 351*o wrt p.\nAnswer: -8891485*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + 12 + 2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63556 - -97614. What are the prime factors of f?\nAnswer: 2, 17029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**3 + 256*m**2 - 9940*m - 10192 = 0.\nAnswer: -91, -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i**2 + 3*i - 4. Let z(l) = -17*l**2 + 8*l - 13. Let y(o) = -7*c(o) + 2*z(o). What is y(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**2*q*t**3 + i**2*q + 3*i**2*t + i*q + 31*q*t - 44*q wrt t.\nAnswer: 6*i**2*q*t**2 + 3*i**2 + 31*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 692837 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -710 (c) 0.049\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-84)\/16 - -5)*(-12 + 2). Sort -0.03, -3\/4, b.\nAnswer: -3\/4, -0.03, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 700 (base 8) to base 7\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*3*(sqrt(1331) + sqrt(1331)*-2).\nAnswer: -33*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiqiiqiiiqi. Give prob of sequence qiq.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 671 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 95 and 45?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and -21194372895059.\nAnswer: -21194372895062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -344.04072 to one dp.\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/10627? (a) 3\/4 (b) 0.02 (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**5 - 5*o**4 + 4*o**3 - o**2 + o - 1. Suppose -16 = -14*w + 10*w. Let q(b) = b**4 + b**2 - b + 1. Let x(f) = w*l(f) + 4*q(f). Factor x(u).\nAnswer: 4*u**3*(u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39535 in 2\/7, 3\/2, -6, 3, 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.453 - 1231.347. Round j to the nearest 10.\nAnswer: -1240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1, 4, 0.\nAnswer: 0, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -3\/20*z**5 + 0*z**4 + 0*z**2 + 17\/6*z**3 + 2*z + 0. Find the second derivative of l(y) wrt y.\nAnswer: -18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10086 is divided by 246?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -w**2 + 0 + 74\/3*w**4 - 10952\/3*w**3 - 1\/15*w**5 + 202*w. Factor v(l).\nAnswer: -4*(l - 74)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 144 = -2*p, -4*n - 3*p + 141 = n. Suppose 180 = 12*j - 8*j. Let x = j - n. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3575 not equal to -3571?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 5 = -k, 7 + 4 = 4*z + k for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.0308, -5 in increasing order.\nAnswer: -5, -0.2, 0.0308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 835 = -7*o + 849. Suppose 1888 = 2*y + o*l, 2*y - 1485 = -3*l + 404. Calculate the remainder when y is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91 + -14 + (-28 - -27) + (15 - 4) + -4\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*i**2 - 96*i**2 - 3627*i**3 + 44*i**2.\nAnswer: -3627*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**3 - s**2 - 2. Suppose 0*j - 5*j = -230. Suppose -j = -6*x - 16. Let k(w) = -6*w**3 + 2*w**2 + 5. What is x*y(i) + 2*k(i)?\nAnswer: 3*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2222 - 14234022?\nAnswer: -14231400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1971261?\nAnswer: 3, 23, 89, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -20.000045. Round y to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (385*g - 176*g - 32*g)*(-242 - 7 + 50).\nAnswer: -35223*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13459528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256824937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -m - 5, -4*m + 28*r - 24*r - 68 = 0 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 163 divided by 86\nAnswer: 163\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u - 7. Let i be w(-7). Let n be (-4 - -1)*(i - 1). Suppose 2*z - n*z = 0. Solve 0*j + j - 3 = z for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24 - 4*y**4 - 14 - y**4 + 21 wrt y?\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -32*h**2 + 5*h + 1. Let l(z) = -7*z**2 - z - 1. Calculate -g(y) - 4*l(y).\nAnswer: 60*y**2 - y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -31895.991 rounded to the nearest 1000?\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*x**3 - 32*x**3 - 32*x**3 - 16*x**3.\nAnswer: 53*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30392211, 60784415, 91176619, 121568823, 151961027, 182353231?\nAnswer: 212745435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**5 + 1519698*v**4 + 288695129280*v**3 + 3752852799152*v**2 + 13856472633696*v + 10392313444128 = 0. What is v?\nAnswer: -379918, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -ad?\nAnswer: -b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**3 - 3*n**2. Let o(k) = k**3 - 4*k**2 + 5. Let d be o(4). Suppose -4*w = 2*i - 4, 3*w - d*w = 5*i + 6. What is t(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3512 divide 14385152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1199131 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5822, 11594, 17330, 23012, 28622?\nAnswer: 34142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 74640 and 3680.\nAnswer: 3433440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15279 + -2018. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/384 and -45\/10784.\nAnswer: 129408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1400968 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: What is 32 + -1 - ((855 - 891) + 20 + 2)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/3, 1\/2, -0.101, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**2 + 4*k**2 + 0*k**2 + (-4 + 4 - k)*(1 + 0*k + k - 12*k)*(1 - 1 - 1).\nAnswer: -10*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10717441?\nAnswer: 7, 41, 107, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h - 1 + h**3 + 1 + (-1634*h - 65*h**3 + 1634*h)*(-3 - 14 + 0).\nAnswer: 1106*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**2. Let r(z) be the third derivative of -13*z**2 + 0*z + 0*z**3 + 1\/24*z**4 + 0. Calculate w(r(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 + 33*k + 150. What is i(-9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2334 = 4*d - 2441, -o = 4*d - 31. Let m = 0 + 11. Calculate the remainder when o is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of b**9\/60480 - b**8\/10080 + b**7\/5040 + b**5\/60 - 3*b**2. Let n(q) be the third derivative of d(q). Find r such that n(r) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*m - 156. Let u(g) = -23 + 3*g + 4*g - 1 + m. Let l be u(8). What is the greatest common divisor of 44 and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14\/5 in -2\/11, -2, -0.3, -9, -308?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - f + 72 = 0. Let q = 8 + f. Does 22 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6563 + 6580 + 5033*z + 1115*z - 2353*z with respect to z.\nAnswer: 3795","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 1 + 20 = 4*l, -2*q + 4*l - 14 = 0. Which is greater: 2\/107 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g**2 + 2*g**2 + 2*g - 2*g**3 + g**2 - 7 + g**3. Is t(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 9, -8, -319, 0 in descending order.\nAnswer: 9, 0, -1, -8, -319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -90152 or -90321?\nAnswer: -90152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from vyvmvmyvvvvmvyvvvvym.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -2\/21, 0.4659 in descending order.\nAnswer: 2, 0.4659, -2\/21, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-82)\/3)\/((-1)\/3). Let z(m) = 10*m**2 + 55*m + 23. Let i be z(-6). Let k = j - i. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 4\/101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h + 5. Let l be c(4). Let p(z) = -z**3 - z - 2. Let n be p(-2). Suppose s - 6 = -2*s + 3*t, 0 = s - 3*t + n. Solve s = 4*m - l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 11 + 37. Let s be 2\/(-8)*k\/3. Let r(m) be the third derivative of -7*m**5\/60 + m**4\/24 - m**3\/6 - 5*m**2 - 3. What is r(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12, -1, -1\/99?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/27 - (-1873706)\/(-18). Let c = -225095 - d. Round c to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100111001 (base 2) to base 8.\nAnswer: -471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - x. Suppose -a + 0 = 1. Let b(l) = 3*l**2 + 5*l. Let i be 5\/(1\/(-1) - -2). Suppose 0 = -n - 1, -i*n = -p - 0*n. What is a*b(r) + p*h(r)?\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87999 is divided by 209.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10010)\/(-140))\/((-748)\/952)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9223.912 centuries?\nAnswer: 92239.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49\/110 - 1\/22. Let n be (-1)\/5*10\/8. Which is the closest to n? (a) m (b) 4 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-1)*(-32)\/(-168))\/(((-27940)\/(-30))\/(-11)).\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 25722.67305 to the nearest 10.\nAnswer: 25720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 7356\/15 + 1*2\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.074 - -0.026. Let r = -0.13 - -0.63. What is the nearest to -0.8 in r, y, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 950 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1)*x**(-2\/17))\/(x**(6\/7)\/(x\/(x**(-2\/17)\/x)))*(x**7*x**(-3))**(-3\/2) assuming x is positive.\nAnswer: x**(-41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-1\/5)\/j*j**(2\/21)*(j**0\/j)**4 assuming j is positive.\nAnswer: j**(-431\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 2, m: 1, o: 4, v: 1, e: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (230*12\/(-10944))\/((-7)\/28) and 69\/118.\nAnswer: 6726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3551a + -5?\nAnswer: -35522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhghhghghg. What is prob of picking 1 h and 3 g?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d - 3. Let b be i(-2). Let l = 6 + -3. Suppose 5*x - 10 = 6*x + 3*n, l*x - 3*n - 18 = 0. Solve c - b = -x*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t**2 - 329*t - 40280 = 0. What is t?\nAnswer: -95, 424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 23*i**2 + 1. Suppose -2*u - 24 = -4*v, -v - 5*u = -0*v + 5. Suppose 1 = v*y - 4. Does 15 divide n(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - 8 = -96. Let h(x) = x**2 - 10*x + c + 4*x - 4*x. Calculate h(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 118692.5ml to litres.\nAnswer: 118.6925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 137781 or 137780?\nAnswer: 137780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48262 is divided by 16081.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 - 12 = -57*z + 30*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17, 52, 99, 164, 253, 372?\n\"Answer: c**3 + 28*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 at least as big as -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-86)\/215*((-80)\/88 + 0)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/4393 + 384417\/6303?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/5 - (-1608)\/40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 56 = -2*q. Calculate the least common multiple of 2 and 4\/q + 69\/7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - u**2 + 7*u - 28. Suppose 501*y + 28 = 497*y. Calculate the remainder when o(y) is divided by 56.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*x - 306*x - 69*x = -3222. Let b(r) = -r**3 - 7*r**2 - 6*r + 1. Let u be b(-6). Put 24, u, 0, x in decreasing order.\nAnswer: 24, x, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1285\/771*9\/39.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6742074, -6742072, -6742070, -6742068?\n\"Answer: 2*m - 6742076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Does 378 divide 339822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 7*w**2 + 7*w + 9. Let n be s(-6). What is the second derivative of 0*b**3 + 0*b**3 + n*b**3 + 2*b - 5*b**3 wrt b?\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - a. Let u(l) = l**3 + 19*l**2 + 21*l - 26. Let y(n) = -6*h(n) - u(n). Let c be y(-12). Let d = -35 + c. Is d at most 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*w - 44, -2*w + 2*q + 12 = -10. Let b(c) = 177*c + 6. Let m be b(-3). Let u be 1\/2 + m\/(-6). Calculate the greatest common divisor of w and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(5)*-2 + sqrt(5)) - (5 + sqrt(15)\/sqrt(3)))*5)**2.\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.60197 + -0.20197. What is the closest to 1\/6 in 4, d, 295\/6, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.6 - -2.6. Which is smaller: u or 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 0)\/((-44)\/(-8) - 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*s + 81*s + 310 = 0. Solve -7*y - 120 = -s*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 13. Let k(z) = z - 14. Let w(r) = -r**2 + 9*r + 3*r - 1 - 8*r. Let n be w(2). Let p(j) = n*c(j) + 2*k(j). Differentiate p(m) wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1127 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -13*m**3\/6 + 5*m**2\/2 + 25*m. Let q(l) = 3*l - 1. Calculate -18*q(s) - 4*v(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5155*n**3 - 416168*n**2 wrt n?\nAnswer: 30930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 18 + 0 + (264 - 280) - (14 + -1)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*f**2)*(0 + 2 - 1) + 2*f**2 - f**2 + 2*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-3))\/(1500\/6). Is 1 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 - 71. Let m = 29.9949 + a. Round m to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-5*sqrt(567)*-1 + sqrt(567) + -5 + sqrt(567)*2 + 1)*-4)**2.\nAnswer: -9216*sqrt(7) + 580867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 2*v - 1 = -3*o, -v = -5*o - 21. Find the common denominator of v - (27\/(-24))\/1 and (2\/15)\/((-24)\/(-1370)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 87*p**2 + 7 - 1\/3*p**3 + 9*p - 17\/3*p**4. Differentiate m(w) with respect to w.\nAnswer: -136*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -42*p**5 + 4*p**5 + 12*p**5 - 3745*p**4 + 300*p**5 + 3745*p**4 + (3*p**3 - 2*p**4 - 3*p**3)*(p + 0*p + 0*p) - p**5 - p**2 + p**2 + 0 + 0 - 2*p**5.\nAnswer: 269*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 4:30 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4 + (sqrt(468) + sqrt(468) + -2 + 0)**2 + (2 + sqrt(468)*-3)**2*-3.\nAnswer: -10772 + 168*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1259650 and 264740?\nAnswer: 78098300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d. Let m(o) = o + 4. Let i be m(-2). Let u be (2\/(-6))\/((-2)\/6). Let x(r) = -1 + u - i*r. Give x(z(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.079, 3, -3, -2.7, 11392\/5?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 3:46 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 25\/((-2550)\/24)*(-17)\/26\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 163625988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -7*j + 4. Suppose 4*m - q = 1187, -2*m - j*q + 882 = m. List the prime factors of m.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 14 - (-22 + 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 4)*(2 - 6 + 0)*(-3*q + 0 + 0).\nAnswer: 24*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 + 3*f**2 + f**2 - 25*f**2 - 16*f**2.\nAnswer: -37*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**2 + 603153672*r + 30316196003923632 = 0. Calculate r.\nAnswer: -100525612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 178 - (1 - 0 - 1). Let z be 18\/4 - (-21)\/(-14). Suppose z*c = c + w. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 29\/2 of a century?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 96259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*y - 2*x, -15 = 4*y + 2*x - 37. Let p(k) = 5*k - 5. Let z(j) = 3*j - 6. Let c(g) = y*z(g) - 6*p(g). Let w(v) = 2*v. Determine w(c(f)).\nAnswer: -30*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**2 - 6*u - 2*u**3 - 4 - 3*u**3 - u**3. Let j(c) = -8*c**2 + 22*c**3 + 18*c + 11 - 5*c**3 - c. Suppose -52*g - 89 = 483. Give g*f(n) - 4*j(n).\nAnswer: -2*n**3 - n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -37, 0, 7, -1, 5 in increasing order.\nAnswer: -37, -1, 0, 5, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12176? (a) -2\/117 (b) 0.07 (c) -3 (d) -4 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5262 + 9578. Suppose -3*n + o = j, 3*n - 4306 = 6*j - 5*j. List the prime factors of n.\nAnswer: 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3062362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*q + 18 - 18)*(17*q - 5*q + 2 - 43*q).\nAnswer: -1674*q**2 + 108*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -11 (c) 35 (d) 5.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -p**4\/6 + 22*p + 3. Let b(h) be the first derivative of -21*h**3 - 6. Calculate g(b(u)).\nAnswer: -7938*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*f**2 + 2 + f - 1 + f**3 - f**4 - 49*f**2 + 11*f**3 to the form k*f**4 + x*f**3 + w*f + b + j*f**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1 (b) 1 (c) -1589\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1129 times -973?\nAnswer: -1098517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 442 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of 132*f**7\/35 + 431*f**3\/2 - 941*f**2 - 1. What is the derivative of z(v) wrt v?\nAnswer: 3168*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-80)\/(-1 - 4) - 6374016. What is j rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9298568 is divided by 91.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t - 17 = 16. Let s(m) = 2*m**2 + 23*m + 47. Let q be s(t). Sort q, 18, 0, 4 in increasing order.\nAnswer: q, 0, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(1\/4)*r)\/r)**45*((r*r**(-1))\/r)**(2\/3))\/((r**(-1\/2)\/(r*r*r*r**(-4)*r))\/(r*r**(-1\/3)\/r)**(-45)) assuming r is positive.\nAnswer: r**(313\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.8 - -2.1. Let g = f - -1.7. Suppose -3*l + 2*l = 2. Which is the nearest to 1? (a) -5 (b) g (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 132.246 - 132. Let l = w - 0.2459883. What is l rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 b, and 1 i when three letters picked without replacement from {k: 5, p: 2, b: 1, f: 6, i: 3}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1.6 times -3461192\nAnswer: 5537907.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i + 39*i = -51 - 49 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2163 is divided by 102.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-6)*(-2304)\/5376*(-46)\/6?\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: -26.859 * -1524\nAnswer: 40933.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17417.2 + 17417. What is the closest to j in 0, 4.1, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + -1)*2)**2*3*1.\nAnswer: -288*sqrt(17) + 29388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/8 (b) 7\/2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 4*p**2 + 5*p + 4. Let b be j(-5). Suppose b*d - 3 - 5 = 0. Suppose -d*w + 17 = -13. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 823293787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0716 + 1.9284. Let w be 3\/2 + -1 - -2. Suppose 1 = 2*b - 5. What is the nearest to 3 in h, w, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38709 = -18*t - 5*t. Let l = t - 1163. Is l a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 26*d**2 - 256*d + 592. Let w be i(6). Let y(u) = 8*u + 14. Let t(x) = 7*x + 14. Let h(j) = 5*t(j) - 4*y(j). Determine h(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h. Let g(o) = 3*o. Let x(y) = g(y) + 6*w(y). Let p(k) = -11*k. Give x(p(s)).\nAnswer: 33*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fffj when four letters picked without replacement from fjjjjjjjjjfjfjjj?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) 3518 (c) -1\/10 (d) 3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/26, 5, -1\/4 in descending order.\nAnswer: 5, -1\/4, -7\/26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14.00014 - -14. What is z rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 + 4 + -5 + 569?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11417, 11409, 11401, 11399, 11409, 11437?\nAnswer: 11489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*g + 128. Solve 4*b - g = -12 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 285.604 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1265260729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11 - 18 + 7 - 16*i**3 - 4*i**3 + i**3 + i**3 + (-i**2 + 7*i - 7*i)*(5*i - 3*i + 0*i).\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/5 of a century?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_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: Let r be 1*((2 - 2) + -1). Let y(m) = m**3 + m**2 - m. Let t be y(0). Which is bigger: t or r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l. Let c(m) = m**2 + 3. Let d(h) = 3*h**2 + 8. Let n(w) = 8*c(w) - 3*d(w). Determine n(s(p)).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9038243?\nAnswer: 19, 475697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 0 - 6 + 3 + 2*k. Let j be 11 + (-5 - (-6)\/2). What are the prime factors of d(j)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 98*s + 26*s + 20*s as g + a*s and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 10:50 PM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p + 20. Let k be o(3). Solve 0*q - k = 7*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 111285, 108900, 106515, 104130?\n\"Answer: -2385*m + 113670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15519, 31045, 46571, 62097, 77623?\nAnswer: 93149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720)*-2 + sqrt(45)\/(-2*sqrt(9)) + -2.\nAnswer: -49*sqrt(5)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3565 divided by 115?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 3071016.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 4:36 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 0.2 (c) -4 (d) -1 (e) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-7))\/(4\/(-14)). Let r(l) = l**3 + 2*l - 16 - 9*l**v - 17*l**2 + 0*l**3. Calculate the least common multiple of r(26) and 14.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/36 + (-1)\/(-4). Let o = 6 - 3. Let h = o - 2.5. Which is the closest to 0? (a) v (b) 3\/5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2258*r + 47385. Calculate i(-21).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 3*c**2\/2 - 331. Let g(r) = r - 3. What is g(m(u))?\nAnswer: 3*u - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 503*y - 301*y + 3440*y + 2327*y in the form l + x*y and give x.\nAnswer: 5969","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -108*w - 12*w**2 - 18*w**2 + 283*w + 2*w**3 - w**2 wrt w?\nAnswer: 12*w - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 22*f**3 - 14*f**2 - 11*f**3 + 4 - 10*f**3 + 13*f. Let n be y(13). Suppose 2*m - 660 = -4*c, -2*m + n*m = 8. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -18*u - 767. Let m be o(-44). Sort -6, -5, m in descending order.\nAnswer: m, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a**(-7)\/a)))\/a*a**(-2))\/(a*(a\/a**(-1\/6))\/a*a)**30 assuming a is positive.\nAnswer: a**(-76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**36)**(-5)\/(f*(((f\/(f\/(f*f\/(f\/(f*f**17))*f*f)*f))\/f)\/f)\/f*f*(f\/(f*f\/(f*(f\/(f\/f**0))\/f)))\/f*f*f))**(3\/16) assuming f is positive.\nAnswer: f**(-597\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**5 - 75*r**4 - 1450*r**3 - 300*r**2 + 20120*r + 31200 = 0.\nAnswer: -10, -3, -2, 4, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 less than -37?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 7*w**2 + 41*w - 5. Let b be f(-6). What is the units digit of b + (-4827)\/(-5) + (-60)\/(-100)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3908, 3921, 3966, 4061, 4224, 4473?\nAnswer: 4826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83160, 83145, 83130, 83115, 83100, 83085?\nAnswer: 83070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z - 17. Give s(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12984127 or -12984128?\nAnswer: -12984127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**4\/6 - a**3\/6 - 5*a**2 - 24*a. Suppose 37 + 3 = -5*t. Let l(o) = 11*o - 2. Give t*g(d) + 3*l(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 325, -2, -1 in ascending order.\nAnswer: -5, -3, -2, -1, 325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 2\/3, -5, 1.2071, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 41 + 5)*(317*z - 878*z - 304*z - 245*z).\nAnswer: -35520*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 307 (base 14) in base 10?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/2360 and -71\/30090?\nAnswer: 120360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101111111011 (base 2) to base 7.\nAnswer: -11641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 737205074 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 469768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -5*c + 45, -w + 5*c + 5 = -0*w. Suppose 0 = 5*d - 0 + w, 0 = 2*n + 3*d - 52. Solve 5*j - n = -l, -j + 25 = -l + 6*l for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21857 and 5629171?\nAnswer: 1987","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1616*n = -1629*n + 12376. Calculate the greatest common factor of 2618 and n.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116476, 118774, 121072, 123370?\nAnswer: 125668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-4 - (1 + 1 + -4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**4 - s - 2*s**4 + 3*s - 6*s**3 as b*s**3 + t*s**2 + n + p*s + r*s**4 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110043?\nAnswer: 3, 12227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1785 + -1788. Let i = -1144609\/66 - -17343. Let r = i + 2\/33. What is the nearest to r in 3, 2, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 17528, 35056, 52584, 70112, 87640, 105168?\n\"Answer: 17528*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 217 + -128. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -15*u + 6. Let i be h(1). Let l = 1 - -1. Put i, l, -2\/3 in decreasing order.\nAnswer: l, -2\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 10*z - 15. What is m(-11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/2)\/7)\/((-48)\/(-42)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-8)*90\/(-135). Which is the second smallest value? (a) 0 (b) r (c) -3\/2 (d) -114\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2\/5 + 53316*k\/5 - 53319\/5.\nAnswer: 3*(k - 1)*(k + 17773)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -685 in descending order.\nAnswer: 2, -1, -685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 22226, 22106, 21914, 21656, 21338?\n\"Answer: m**3 - 42*m**2 - m + 22268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 3, l: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(((-1932)\/36)\/7 - -8). Let y(z) = 4 + 0 + 3 - 2*z**2 + 0*z - z. What is y(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-15)\/9 + 2)*30 - 0. Let u be 1*30\/25*w. Suppose q = 4*v + 5*q - u, -3*q = 2*v - 9. Solve v*t + t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 1\/2*f**3 - 6\/5*f**2 - 1\/20*f**4 + 0 - 6*f. Factor m(k).\nAnswer: -3*(k - 4)*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**2. Let n(r) = 56576*r**2 + 143*r + 286. Let y(k) = -797*k**2 - 2*k - 4. Let b(v) = 4*n(v) + 286*y(v). What is q(b(l))?\nAnswer: 8049132*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 13*b**2 + 11*b + 190. What is g(-13)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -1124300550?\nAnswer: 1124300555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (252\/22)\/3 - 2\/(-11). Suppose 9*z + 5*d + 3715 = h*z, 0 = z + 5*d + 751. Is (2\/3)\/((-5)\/(-15)) - z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 143 = v - 4*v, 8*v + 219 = 4*v + i for v.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -101222010121100 (base 3) to base 2\nAnswer: -10110001111000010111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 159 - 158. Which is the nearest to -0.2? (a) w (b) -4\/25 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1526, 5437, 15996, 36527, 70354, 120801?\nAnswer: 191192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3168589.42 to the nearest 100.\nAnswer: 3168600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -85.7 - -182.84. Let s = 94.03 + 1.97. Let j = o - s. Round j to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 r when three letters picked without replacement from {r: 6, v: 2}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/1*(-810)\/(-270).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -24, -32, -44, -60, -80?\n\"Answer: -2*b**2 - 2*b - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a - 6. Determine u(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 7*n**2 - 7*n + 34. Let v be d(11). Let i = 150 + v. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22423434 (base 5) to base 8.\nAnswer: 612020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h**2 + 0*h**2 - 6*h**2 + (-5*h + 2*h + 2*h)*(-5*h + 3*h + 4*h) + 4*h**2 - 5*h**2 - h**2 + 5*h**2 - h**2 - 2*h**2 + 0*h - 2*h + 3*h + 20*h**2.\nAnswer: 17*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-15)\/(-10) - (-2)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -345*l + 1045. Calculate s(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7a18b5 (base 12) to base 6.\nAnswer: -105501545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -527 - -445.1. What is f rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 472 a factor of 608475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -14521, -58073, -130671, -232321, -363029, -522801, -711643?\n\"Answer: -y**3 - 14517*y**2 + 6*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64786\/2 + -35 + 1 + 33?\nAnswer: 2, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-17)\/v)\/v**(1\/4)*v**(-8\/17)\/((v**(-44)*v)\/v) assuming v is positive.\nAnswer: v**(1719\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2905434*c**5 + 56176*c**2 - c + 11 wrt c?\nAnswer: -174326040*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.9 (b) 2\/13 (c) -60.486 (d) -1 (e) 6 (f) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 2. Let d = -12 + r. Let t = 0.4 - 3.4. What is the nearest to 1 in t, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 12:49 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 16*u**2 + 1144*u - 14310. What is w(12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.02 - 0.02. Let y be 14 + -10 - (-22)\/(-5). Which is the nearest to y? (a) j (b) -4 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*j + 6376 - 9621 = -27*j for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (387\/2838)\/(108\/32472)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.068 - -0.06800053. What is j rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-90)*50\/15.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 107261 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (13\/6)\/(-13)*(-60)\/5. Are x and 68\/45 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*a - 561 = 0, -4*a = 11*n - 7*n - 2148. Is 74 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/12)\/((-2)\/4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -8, -3, -36, -31, 0 in increasing order.\nAnswer: -36, -31, -8, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 11:59 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - o**2 + 10. Let d = 2 + -2. What is the units digit of h(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 180 + -156. Calculate the smallest common multiple of 84 and i.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*n = -25*n - 46368. What is the greatest common factor of 96 and n?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -128 + 95 + (12 - -1) + -6\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/3)\/(46\/(-69))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -123911 or -123893?\nAnswer: -123893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 2*x - x + 10, 11 = 5*b + 4*x. Suppose -22 = c + 4*k, b*k + 30 = 2*c - 5*c. Let a(p) = -3*p - 9. What is the units digit of a(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 145899?\nAnswer: 729495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 14. What is the biggest value in 0.1, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 2:18 PM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 8108, -4?\nAnswer: 8108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -10\/7*l**2 + 0 + 16\/7*l**3 - 4*l - 2\/7*l**4 = 0.\nAnswer: -1, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 0. Let z = 20.2 - 19.7. Which is the nearest to o? (a) z (b) 5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**2 + 112*f = 0.\nAnswer: -112, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -4 - (-6 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + (sqrt(180) - sqrt(180)*-4))\/sqrt(12) - sqrt(15))\/sqrt(5).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-21)*(-17 + 3). Suppose s = 4*j + 26, -2*s - d*j + 26 = -74. Which is smaller: 43 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 288 - 290. Suppose 0*x + 2*x + 4 = 0. Is z\/(-14)*x + 16038\/126 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3363823658.\nAnswer: 2, 13, 71, 140171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r - 6*r**2 + 10*r + r**2 - 11. Let i(b) = 2*b**2 - 4*b + 4. Let w(k) = 4*f(k) + 11*i(k). Suppose w(g) = 0. Calculate g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 169*l**2 - 12*l + 66. Is i(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 11, e: 3}?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 446, -1, -62, 4 in descending order.\nAnswer: 446, 4, -1, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -5*x**3 - 380*x**2 - 1095*x = 0.\nAnswer: -73, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/4 - 6\/(-4). Suppose 0 = 2*a + 4*l + 12, l = -q*a + 4*l + 23. Solve -145*j**2 + 20 + 100*j**2 + 5*j**a + 6*j**3 - 15*j**5 - 20*j + 49*j**3 = 0.\nAnswer: -2, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15 - 177?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -115 - -61. Let i = 9 - u. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -62, -133, -232, -359?\nAnswer: -514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65149 is divided by 1163.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 5:17 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 7*s + 21*s. Let h(w) = 0 + 5 - 2 - s*w**2 + 0. Let j(k) = -1. Determine -2*h(v) - 6*j(v).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115 (base 10) to base 14.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 17*v + 7. Let m be u(-17). Let r(k) = 42*k - 1. Is r(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*a + 13 + 5 = -30*a. What is the closest to 1 in a, 1, 2\/11, 112?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19\/16? (a) -5 (b) 4\/3 (c) 2.5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -121?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(19)*1*-4 - (sqrt(152)*-1)\/sqrt(8))*4 + 1 + 0)**2.\nAnswer: -144*sqrt(19) + 98497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 10. Let n(m) = m**3 - 3*m**2 + m + 1. Let l be n(2). Let g(z) = 16*z**2 + z. Let u be g(l). What is the greatest common factor of u and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -208, -179, -150, -121?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3626173*j**4 - 93915219.\nAnswer: -14504692*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(54)\/sqrt(9))\/(-4*sqrt(243)).\nAnswer: sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 7*g + 10. Let z be v(-6). Suppose 0*h - 5*h - 35 = 4*u, 4*h - 8 = z*u. Which is the biggest value? (a) -2 (b) -0.5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/460338 and 31\/32.\nAnswer: 7365408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390557602.\nAnswer: 2, 6869, 28429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1104111060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1224)*-2*-6)\/((sqrt(256) + sqrt(4) - sqrt(4))\/sqrt(2)))**2 + 0.\nAnswer: 34425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 134, 347, 930, 2069, 3950, 6759, 10682, 15905?\n\"Answer: 31*o**3 - o**2 - o + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -383*q**3 - 140*q - 140. What is the remainder when h(-1) is divided by 95?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 3)*-5*-3. Let p = j + -16. Let y = 29 + p. Is y a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2. Let c(n) be the third derivative of n**5\/40 - 20*n**3 + 95*n**2. Let z(r) be the first derivative of c(r). Determine z(w(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*12\/16 - (-4247)\/186. Do c and 1.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 584869668 to the nearest integer?\nAnswer: 24184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10847, 21697, 32545, 43391?\n\"Answer: -b**2 + 10853*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 611617.\nAnswer: 1\/611617","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1047*q**2 + 2087*q**2 - 1040*q**2 - 36*q**3 + q.\nAnswer: -36*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 - -52. Calculate the least common multiple of n*-3 - (-35 - -14) and 84.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 27. Let d = -6902 - -6907. Give b(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + -36.76. Let s = z - -1.86. Let j = s + 8.8. Which is the closest to j? (a) 0 (b) 0.1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 164 + 16. Let q be (-2)\/(j*3\/(-6)). Solve 0*w - q*w**3 - 3\/5*w**5 + 1\/5*w**2 - w**4 + 0 = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (104\/(-34))\/(2\/17)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**3 - 127*s**2 - 317*s + 4227. Give o(44).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16588875, 66355502, 149299881, 265422012?\nAnswer: 414721895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31.44 - -0.56. Let j = 37.3 - p. Let l = -5.299946 + j. What is l rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**2*v**3*w + 79*n**2*v**2*w + 2*n**2*v**2 - 892*n**2*v*w + 12085*n*v**3 - 21*v**3*w wrt v.\nAnswer: 6*n**2*w + 72510*n - 126*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18.2 + 23.32. Let c = -0.12 + l. What is the third smallest value in 4, c, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 78709 (b) 1\/6 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2151 - -135032?\nAnswer: 132441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3 - 38 = c, -4*c + 5*b - 214 = 0. Let g = c - -2. Let o = -46 - g. Solve 0 = o*x + 2*t - 17, 5*x - t - 11 = -0*t for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -2*b**7\/3 + 34*b**6\/5 - 119*b**5\/5 + 121*b**4\/3 - 36*b**3 + 16*b**2 - 39*b. Determine h so that k(h) = 0.\nAnswer: 2\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1553931 less than 328?\nAnswer: 1554259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -89 (base 14) to base 16.\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 10*z + 15. Let j be q(-6). Let d be (-10920)\/245 + 15\/(-35). Is d < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4332952?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -8 + 28. Let l be y*((-93)\/(-15) - -1). What is the third derivative of 36*n - l*n - 2*n**2 - 5*n**4 wrt n?\nAnswer: -120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*sqrt(70)*-3 + sqrt(70) + -4*(sqrt(70) - sqrt(70)*1)))\/(-2*(sqrt(90)*-2 - sqrt(90))*-1).\nAnswer: 4*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 911013 and 857424.\nAnswer: 14576208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-119)\/374*-302 - 97\/1067.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 1250 + 127. Let q = o + 461. Sort -3, q, -15 in decreasing order.\nAnswer: q, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m + 4 - 95*m**2 - 31 + 59 - 29 to g*m**2 + j + n*m and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - -40. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (135 - 136) + 2 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 1a?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -302381, -1209729, -2721975, -4839119?\n\"Answer: -302449*u**2 - u + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/10962 and 17\/15.\nAnswer: 54810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 22, -1, -1\/4, 4\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -665757709 + 665757709 + 676*r**2.\nAnswer: 676*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-5*1*sqrt(35))\/(sqrt(400)\/sqrt(5) + sqrt(5) + sqrt(55)\/sqrt(99)).\nAnswer: -45*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36582673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, 8, -3, 2, -83\/22 in descending order.\nAnswer: 59, 8, 2, -3, -83\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s**2 - 4*s + 49 - 2*s - 9*s + 23*s - 5*s.\nAnswer: -8*s**2 + 3*s + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4570 - -4652. Which is the closest to 0? (a) 1\/2 (b) o (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**8\/420 - o**5\/60 + o**3\/3 - 2*o. Let d(m) be the second derivative of f(m). Find the second derivative of d(u) wrt u.\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-19 - ((-9 - (-10 - -3)) + 3))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 bigger than 119887?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*y + 1113 - y**2 - 1124 + 100*y)*(2*y + 2*y**3 - 2*y).\nAnswer: -2*y**5 + 264*y**4 - 22*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 1890.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (2296 + -2215)*((2 - 39\/18) + (-5)\/10)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 13*a + 19. Let g be k(-12). Solve -35 = -2*i + g*i + 5*t, 0 = 2*t + 8 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185263599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -431 + 436 + (-8 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1773 + 1823. Solve -6*s + 20 = a for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2536\/4253 less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -102 + 102 - (9 + 7).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -445 or -446?\nAnswer: -445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 37912877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 97*h - 289. Let t be n(3). Solve t*k = -3*y - 17, 4*y + 6*k + 25 = k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 534534131?\nAnswer: -534534126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 + (-41 - (-60 + 45))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 523*g - 50 = 513*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1619.9136 months?\nAnswer: 1.349928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 463 - 455. Solve a*p - 15*p - 21 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104922633?\nAnswer: 3, 4003, 8737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.7 in 2\/9, 1\/3, 331?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o - 271 + 680 + 3*o.\nAnswer: o + 409","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6622 and 100254?\nAnswer: 4310922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*o**2 - 32*o**2 + 49*o**3 + 21*o**2.\nAnswer: 49*o**3 + 10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 + 1316. Let c(j) = -151*j - 7. Calculate y(c(h)).\nAnswer: 45602*h**2 + 4228*h + 1414","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - -10. What is the smallest common multiple of h and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1131222 (base 4) to base 16\nAnswer: -176a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 869863430*u - 1372586460.\nAnswer: 869863430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -10 - -5 - (6 + -5)*-643. Solve -51*u + 230 = n for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 42790*f**3 + 389*f**2 + 389*f. Let i(p) = -771*p**3 - 7*p**2 - 7*p. Give 7*d(m) + 389*i(m).\nAnswer: -389*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 - 1794051 + 1794051.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 + 12*p + 43. Let n be g(-9). Which is smaller: 98 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/7 - (0 + 1). Do t and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(225\/6)*3. Let o be 2*(5 - (-234)\/(-48)). Which is the biggest value? (a) 3 (b) o (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 7:40 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2104 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (176\/((-567424)\/372))\/(((-36)\/56)\/(12\/(-14)))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10751488.186 rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*b + 120 = -9*b. Suppose d + 2*v = b, 7*v = 2*d + 2*v - 3. Suppose 4*p - 2*p = 0. Solve p = -0*k - d*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -3*k + 1 - 3\/2*k**2 + 5\/3*k**3. Is o(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 6:49 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 4*l + 3*l)*(3*l**2 + 0*l**2 - 4*l**2) - l**3 + 4*l**3 - 5*l**3 + 1 - l**2 + l**2 + 10*l**3.\nAnswer: 7*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2267*j - 5*l + 7 = -2263*j, 0 = j + l - 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 11*k - 42, 3012 - 3009 = -3*d + 2*k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -32275.\nAnswer: -7\/32275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 273981.06 hours to days.\nAnswer: 11415.8775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 2, 1316 in descending order.\nAnswer: 1316, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-10)*(-6 - (13 + -11)). Sort s, -330, 1 in increasing order.\nAnswer: -330, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*o - 3*g + 23, -2*o + 18 = -g. Let x = 1 + o. Suppose -2*z = -x - 66. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -270088 divided by 4?\nAnswer: -67522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -785176 (base 10) to base 13\nAnswer: -216502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + (-11 - -18) + -25 - -19?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -3*m - 2*b - 1048, 4*m = 4*b - 1300. List the prime factors of ((-2)\/(-5))\/((-3)\/m).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/(-40))\/((-1)\/(-16)). Suppose 4*m = -3*j + 228, -r*m = -3*m + 5*j - 74. What is the remainder when m is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/39*3*3\/(-75)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*d + 57*d - 31943 = 688*d - 6068 for d.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - z + 1. Let o(b) = -2*b**2 + 16*b - 6. Let l(x) = o(x) + 6*v(x). Find the second derivative of l(j) wrt j.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 426 = x. Let k = -82 - x. What is the greatest common divisor of 24 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -9 - (2 + -5 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82039089 and 297.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 387*m*n + 1839*m + 1069474*n**2 + 107612 with respect to n.\nAnswer: 387*m + 2138948*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 1 + -4 + -4 + 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**4)*k**(-13)*(k*(k**3*k*k*k)\/k)\/(((k**3*k)\/k)\/k))**49 assuming k is positive.\nAnswer: k**(-637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1333023 (base 5) in base 7?\nAnswer: 142325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -3bb06f?\nAnswer: 3bb06f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -11.5.\nAnswer: -5.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 654\/59 + -58447\/5310. Is -1 at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 4*i + 0*i + 5*i)*(20*i + 1110 - 1110).\nAnswer: 20*i**2 - 100*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 - 3*k - 11. Let h be m(3). Suppose 2*i - 4*i = 10. What is the second biggest value in i, h, 3\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2098, -2097, -2096, -2095, -2094, -2093?\nAnswer: -2092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (700\/(-56))\/((-20)\/(-48))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vf when two letters picked without replacement from rrorvfrrvvv?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 0 + sqrt(108).\nAnswer: 5 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -89503 at least as big as -89190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10081 and 9488?\nAnswer: 161296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 149.9454108739 minus 2.4?\nAnswer: 147.5454108739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3068\/(-20650)*(-45)\/4 and ((-4)\/60)\/(14\/76)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -72*q - 694 + 694 to the form w + p*q and give p.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253 - 3 = 5*m. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7094668.002 + -7066694. Let k = j + -27999. Let b = -25 - k. What is b rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(936\/(-180)) - (2 - (-118)\/(-17))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.5 + -15. Let r = p + 4. Sort -2\/7, r, 1\/4 in descending order.\nAnswer: r, 1\/4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (305 - 325 + 346 + 2*m + 203)*(m**4 + 2*m**4 - 2*m**4).\nAnswer: 2*m**5 + 529*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.042, -8, 0, -0.3 in decreasing order.\nAnswer: 0.2, 0, -0.042, -0.3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(832) + (sqrt(13) + sqrt(117) + sqrt(13) + -1)**2.\nAnswer: -42*sqrt(13) + 326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -99948.19682214 minus -1?\nAnswer: -99947.19682214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4) - (-228)\/8. Solve -4*y + 21 = r for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11 and -66.\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n + 4. Let p be r(-6). Let b = p + -11. Let h(f) = 56*f**2 + 2*f + 1. Is h(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16231\/7 + -2319. Let r = -42.7 - -43. Which is the closest to o? (a) 0.1 (b) 9 (c) r (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -w + 5, -4*w - 24 = -8*w + 5*u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 151040 to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, 484, 474?\nAnswer: 474","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1656362 is divided by 1444.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -3616?\nAnswer: -361.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/7 + 4836*b + 1013760\/7.\nAnswer: 2*(b + 30)*(b + 16896)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -67114586*g**2 + 86049712*g wrt g?\nAnswer: -134229172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m**3 + 2 - 280*m**2 + 712133*m - 712133*m as d + v*m**3 + l*m**2 + y*m and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30356 is divided by 506?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/3 of a day?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10811392 + -0.02?\nAnswer: 10811391.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, v: 5, t: 4}. Give prob of sequence vvrv.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of 29*g**5\/60 + g**2 - 5*g. Let s(j) be the first derivative of o(j). Let p(x) = 4*x**2. Calculate s(p(z)).\nAnswer: 464*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r**3 + r + r**2 - r**3 - 2*r + 2*r**2 as m*r + n + t*r**2 + h*r**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 175013594 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 21*l - 19*l. Let o be (-12)\/l - 37\/(-7). Suppose f + o*y - 38 = 3*y, -4*y = -2*f + 68. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2927023 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**2\/7 - 13005502*h\/7 - 13005500\/7 = 0. What is h?\nAnswer: -6502750, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.1, -1\/9, -16 in descending order.\nAnswer: 0.1, -1\/9, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/(-10))\/(6\/(-15)). Suppose 0 = q*l - 0*l - 57. Is l a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 41*m + 1. Let t be j(3). Suppose 0 = 4*b - t - 12. Suppose 3*x = 3*o - 69, -3*o + 11 = 3*x - b. Is o a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**5\/3 + 6*o**4 - 58*o**3\/3 - 38*o**2 + 416*o\/3 - 88 = 0 for o.\nAnswer: -11, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -24*j + 777. What is c(-39)?\nAnswer: 1713","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -128858 + 128841.53402. Let h = n + 15.766. Let b = h + 0.7. What is b rounded to 6 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 14, 0.5, -2\/635, 2\/21?\nAnswer: -2\/635","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 6*h - 140. Let x be b(15). Sort -3, 4, x, -37 in decreasing order.\nAnswer: 4, -3, x, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 5. Suppose 8*v - 8 = 4*c + 4*v, 8 = -3*c + 4*v. What is the closest to -1 in c, -4, m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 45, 46, 47, 48?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d + 16. Let p(t) = 149 - 265 + 130 - 3*t. Let y be p(9). Let h be f(y). Is h at least as big as -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 340*s**2 - 155*s**2 + 8*s**3 - 185*s**2.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c + 12. Give n(-5).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/24)\/((-6)\/(72\/10)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 960 and 21660960.\nAnswer: 43321920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19939890749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.339 - 16374862.6564\nAnswer: -16374862.3174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 + 918*u**2 + 10617*u + 9702.\nAnswer: 3*(u + 1)*(u + 11)*(u + 294)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(4*(-6)\/(-240)). Let p be 45 - (-4)\/(a\/(-25)). What is the greatest common divisor of 75 and p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/10? (a) 7 (b) 2\/31 (c) 2\/7 (d) 5 (e) 152 (f) -0.09\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 24) + 19 + -8 + (-1 - -54)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185227058 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 1\/1)*127. Let h = 1399\/11 - t. Let l = -700\/9 - -78. What is the smallest value in l, h, 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 183, -15, 1, -6 in increasing order.\nAnswer: -15, -6, 1, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*o. Suppose 2*t + 4 = 3*d - 0, o = d - 4. Suppose 0 = -t*c + 3*b + 15999997, c + 4*b + 0*b = 4000004. Round c to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8561 + 275 = -192*f - 4*s, -3*f + 3*s + 187 = -7*f for f.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-1 + 2 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.3, -0.17, -1, 2.\nAnswer: -1, -0.3, -0.17, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*u + 1 = 0, -4*p - 3*u = -0 - 17. Suppose p*n - 5*w = -20, 3*n + 0*w = -4*w + 23. Calculate the highest common factor of 9 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 4*z = 5*j + 31, 0 = -5*j - 2*z + 7. Is 3 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by 253.\nAnswer: -35\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -4*a, 13*u + 24*a - 183 = 35*a - 14*a for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2698 - -4632. Is u a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b + 6. Suppose -6 = 2*t + 6. Let z be s(t). Let x(o) = z*o + 3*o - o. Let g(j) = -2*j. What is x(g(h))?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**3 - 6*n**2 - 6*n. Let f be z(5). Let s be ((-4)\/6)\/(1\/(-33)). Let x = s - 8. What is the highest common divisor of x and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024 a factor of 268769799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -23*q**3 + 14*q**2 - 18*q - 34. List the prime factors of p(-8).\nAnswer: 2, 7, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8b (base 14) in base 4?\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 827 = 811. What is q in -r + q + 3\/4*q**3 + 5\/2*q**2 = 0?\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*x = 45, 5*z - 2*x + 4 + 68 = 0. Let o be 228\/42 + 6\/z. Find the third derivative of -m**4 + 3*m**4 - 2*m**4 + o*m**2 + m**3 - 5*m**6 wrt m.\nAnswer: -600*m**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*q = -32*q + p + 3, 0 = -4*q + 4*p - 36. Sort 0, -9, q.\nAnswer: -9, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -g - 0. Suppose -2*l + 5*y = 27 + 3, -31 = 3*l - 4*y. Sort -4, l, g in decreasing order.\nAnswer: g, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -207*k**2 + 12. Let i(y) = 30438*y**2 - 1767. Let t(u) = 589*c(u) + 4*i(u). Let n(l) = 61*l**2. Determine t(n(b)).\nAnswer: -636291*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60228*r**3 + 0 + 60218*r**3 - 120433*r**3 + 5 - 5.\nAnswer: 13*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -70.274 - -1.174. Let o = l + 62.76. Let g = o - -0.34. What is the closest to -0.1 in 3\/7, -2\/3, g?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k - 30*k + 3375 = 0. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52614 divided by 474.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dca when three letters picked without replacement from haadhddcdadd.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9592 + -2.798581665.\nAnswer: -9594.798581665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l - 9 + 33 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 4. Let r(o) = -3*o - 7. Let y be r(-4). Suppose y*t - 2*t = -87. Let v = t - -26. Calculate k(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 1119*c + 2. Let w(i) = 2*i. What is a(w(t))?\nAnswer: 2238*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((4\/(-54))\/1)\/233. Let w = 2448780\/11833 - 63581484863\/297765612. Let k = w - n. Find the common denominator of k and -145\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-3\/5)*v*v)*v\/(v\/(v*((v*v\/(v**0\/v))\/v)\/v))*v)\/((v\/(v*((v*v**(2\/17))\/v)\/v*v))\/(v*(v\/v**2)\/v)) assuming v is positive.\nAnswer: v**(146\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 122228 and 122231 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2093*j + 816309 = 4884*j for j.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -5*j + 6, 3*r - 17 = 3*j + 1. Suppose -2*w + 5*m - 69 = -3*w, 0 = -2*m + r. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 43*f**3\/6 + f**2 + 2241*f. Let w(n) = 10 - 10 - 3*n + n. Determine c(w(x)).\nAnswer: -86*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 242293?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/116062 and -145\/12.\nAnswer: 696372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 362526 take away -2.9?\nAnswer: 362528.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*q - 234*q - 85*q + 88*q.\nAnswer: -369*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/4 of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l. Let u(q) = -3457*q. Give u(d(s)).\nAnswer: -6914*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-2 + 8 + -7) - -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 - 50*d - 110. Give m(27).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 18 = 2*j, 4*i - 2*j = 40 - 6. Suppose -42*l - i = -44*l. Suppose 4*t + 3*a = 4760, 0*a = -l*t + a + 4776. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -4, 1, 112 in increasing order.\nAnswer: -33, -4, 1, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3640*k - 9119. Calculate b(1).\nAnswer: -5479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -9*r + 90*r - 110330. Is 22 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 5*z**2. Let v be d(5). Suppose -25 = -5*n - 70. Let m = n - -47\/5. Which is smaller: m or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 1380 = -7047. Calculate the remainder when w is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 7:52 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*c = -7, -6*c = 4*v - c + 21. Let h = 27 + 8. Suppose -14 - 6 = -4*j + 2*r, -5*r = -5*j + h. What is the least common multiple of j and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78316 + 0.01\nAnswer: 78316.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 35*t - 387. Determine h(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + 5 + -4 - -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-6*sqrt(96)*1)\/(-4*sqrt(2)*1 - sqrt(2)))**2.\nAnswer: -1728\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1361*f + 1366*f + 5*a + 30 = 0, -5*a = 25 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -26577.393\nAnswer: -5315.4786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 + 12. What is the remainder when i is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 4*i**2 + 3*i + 4. Let b be c(-3). Let f = 5 + -4. Let s be -3 - ((b - 2) + f). What is the highest common divisor of s and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24048 take away 2601?\nAnswer: -2601.24048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9196, -2, 4, -3, -19, 1\/4, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16801 + 23301. Does 52 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2000)*-1)**2 - sqrt(2000))*-5 - 6*sqrt(2000)*1) + (sqrt(1280) - (6*(2 + sqrt(1280)) - sqrt(1280))) + 1.\nAnswer: -10011 - 84*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 + 0 + -50 + -12 + -1 + (1 - -27).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 3)*(-20 + 9*c + 20) - 3*c + 2 + 1 + 5*c to g + h*c and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3363 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 + -7. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 63 - 103. Let i be (((-14)\/g)\/7)\/(4\/30). Let m = 2\/5 + -1\/15. Which is the third smallest value? (a) m (b) i (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + (-13)\/1014*-222 + 8\/52?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5730*d**3 + 2199.\nAnswer: 17190*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78521\/20 + 3930. Calculate the common denominator of -7\/50 and x.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -1831*j - 8955. Let y be w(-5). What is the greatest common divisor of 830 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 64 = 7*c. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-8)\/(4664\/(-159))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 + 3*i - 3. Let k be t(-3). Suppose -n - 3*n = 5*s + 8, n = 3*s - 2. Suppose -2*o = -6*o + 32. Solve l - k*l = -4*p - 22, s = -4*l + o for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 335 less than 13568?\nAnswer: 13233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24396 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 2*l = 43, 39118*s - 39121*s - 5*l - 85 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 6*d - 13*i + 20*i + 21, -4*i = -4*d + 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66668 and 91028?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 87 = -3*k - 122, 0 = -k - 5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t - 1. Let f be n(-5). Suppose -3*u - 2*g = -34, f*u - 76 = 3*g + 2*g. Suppose u = 3*d + 4*l - 83, 160 = 5*d + 5*l. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60\/1927637 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10851 - 54246\/5. Factor 0*w + 0 + 6\/5*w**2 + f*w**3 + 3\/5*w**4.\nAnswer: 3*w**2*(w + 1)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-768)\/(16 + 8) + 36. Let r be (-4)\/(-1) - (-5 - -4). Which is smaller: s or r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 4*i + 3. Suppose 6*o - 10 = 4*o. Suppose -x = o*x. Let p be w(x). Solve 3 = p*u - 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(3\/11)*n)\/n)**(1\/4)\/(n**(-2\/81)\/n**(-2\/37)) assuming n is positive.\nAnswer: n**(5119\/131868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 divided by -50.\nAnswer: 49\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 4:48 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 - -37. Solve -w*i - 15 = 3*q + i, 0 = -3*q + 2*i - 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*i + 6123 = -106*i - 6225 for i.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154832859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5205 = -q, q - 1329 = -4*b + 3911. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.01 (b) -12 (c) -3 (d) 6 (e) 257 (f) -2\/5 (g) 3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13007*z**3 - 4041*z**3 + 1637*z**3 - 16455*z**3.\nAnswer: -31866*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 39 = 3*n + 46, 4*n + 135 = 3*q. Let i be (-110)\/n + 4\/(-6). Suppose 0 = -0*j + i*j - 24. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 111552 - 501?\nAnswer: 111051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - k**2. Let l be v(-2). Let o(y) = 2*y**3 - y**2 - 341*y + 341. Let b be o(1). Sort l, 5, b, 2 in ascending order.\nAnswer: b, 2, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 4*p - 12, 2*y - y + 5*p - 18 = 0. Let a(w) = -793 - w + 793. What is a(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51109, 51110, 51111?\nAnswer: 51112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 - 56. Suppose 282*k + 36 = 276*k. What is the nearest to 0.2 in -5, k, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16011\/7 + -2287. Let p be (-4)\/10*9\/(-6). Which is the nearest to f? (a) p (b) -0.6 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -1214*p - 2456. Determine n(-2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, j: 1, s: 7, w: 1}. What is prob of picking 2 s, 1 j, and 1 w?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 50 (base 10) to base 11\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5898816 divided by -15048\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 1. Suppose 56 = 2*t + 72. Let w = -4 - t. Solve w*k = s*k + 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 466199 (base 11) to base 16.\nAnswer: b4ba9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 17.\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.081098492 + -0.0811. What is j rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -226595 or -226594?\nAnswer: -226595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 156693\/(-171)*-3*13 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49\/20 - 11\/5. What is the third smallest value in u, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 8*o + 2. Let s be c(7). Let n = s + -6. Suppose -n*g + 15 = 6. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -37. Calculate the remainder when m is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10773 is divided by 3112.\nAnswer: 1437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*g - 7. Let z(f) be the second derivative of f**4\/12 - f**3 + 2*f**2 + f. Calculate z(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 674559.\nAnswer: 3, 241, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, p: 4, v: 1}. Give prob of picking 1 v and 3 p.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 10*b**2 + 2438*b - 24379. Calculate g(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*y - 21*y + 18*y in the form c*y + v and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(66\/(-11)))\/((-1)\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 0*j + 4 - j**2 - 5*j - 3*j - 2*j. Let p = 9 + -19. List the prime factors of i(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -360523 by -1845.\nAnswer: 360523\/1845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 10 = -f. Suppose f*t - t = 0. Suppose t = 2*q - 0*q - 174. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1512 + 1517. Put 0.1, f, -36, -5 in decreasing order.\nAnswer: f, 0.1, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 95 + -78. Calculate the remainder when 29 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 13 = 5*y. Let d(m) = -9*m**3 - 5*m + 9. Let c(b) = 8*b**3 + 4*b - 8. Let f(u) = y*c(u) - 4*d(u). Differentiate f(t) wrt t.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 16, t: 4}. What is prob of sequence tyty?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 19 - 9. Let f = 44 + d. Calculate the highest common divisor of 30 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 0 - -3 - 5. Let i = 2795 + -2775. Let k be m\/(-4) - (-2 - 5\/i). Solve -2*n - v + 26 = k*v, -n = 3*v - 18 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3 + 3 - 16*n**2 + 10*n**2. Let d(t) = t**2. What is d(h(u))?\nAnswer: 36*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, z: 2}. Give prob of sequence lzll.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -14*p - 2. Let l(b) = -15*b - 1. Let v(d) = -3*l(d) + 2*r(d). Let f(s) = -s**3 + s**2 + s + 4. Let k be f(0). Is v(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + c + 1. Let f be -1*(-2 - -1) - 0. Let h(b) = 4*b**2 + 2*b + 7. Suppose -139*a = -135*a + 24. Let y(r) = a*d(r) + f*h(r). Give y(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 58*q - 59. Give v(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 516 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-11 + 6 + 10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 846693423759.\nAnswer: -846693423754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j - 7. Let u be a(-7). Suppose u = -h + 4*c - 12, -3 - 5 = -4*c. Let w = 45\/2 + -22. What is the biggest value in 1, h, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 + -80 + 170 + 6.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69 + -2404. Sort 5, -2, u in descending order.\nAnswer: 5, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pop when three letters picked without replacement from pjppppppjfpojjjjtpo.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9102412 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 53783558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3938307 = 226*h - 664635. List the prime factors of h.\nAnswer: 3, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 + 9040\/540)*(-8 + -1).\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 438 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -339*z + 1 + 536*z - 17*z - 54*z.\nAnswer: 126*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2772966?\nAnswer: 2, 3, 7, 103, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/4 - 440\/40.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 f when two letters picked without replacement from {q: 1, l: 1, i: 11, f: 5, w: 2}.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7)\/t)\/(t\/(t*(t**7\/t)\/t*t*t))*t**(-7)\/(t\/(t*(t*t**2*t*t*t)\/t)) assuming t is positive.\nAnswer: t**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 201 + -207. Let r(y) = -y**2 - 4*y - 4. Give r(f).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*g**2 - 11*g**2 + 3*g + 2*g**2 to the form t*g**2 + z + u*g and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 9*t**3 - 12*t**2 + 3*t - 3. Let x(q) = 19*q**3 - 23*q**2 + 5*q - 5. Let l(i) = 5*c(i) - 3*x(i). Find the third derivative of l(h) wrt h.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3776a + -1?\nAnswer: 37769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 4*x**2 + 9*x + 4. Let o(h) = -2*h**3 - 8*h**2 + 17*h + 8. Let m(l) = 5*j(l) - 3*o(l). Let d be m(-5). Is d not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30944939 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 9 = v - 5*x + 37, 0 = 3*v - 12*x + 42 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75\/17, -1\/2, -168.\nAnswer: -168, -75\/17, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o**2 + 2*o - 1. Suppose 0 = -285*m + 326*m + 123. Let p(v) be the third derivative of v**5\/12 + v**4\/8 - v**2. Calculate m*n(r) + 2*p(r).\nAnswer: -2*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 65, 2, -11, 1 in decreasing order.\nAnswer: 65, 2, 1, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -384.4 and -1.\nAnswer: -385.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 131498940 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a millennium in years?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -604679\/7 - -86120. Let i = -263 - j. Let l be 2\/(-10) + -2 + 1. Which is the second smallest value? (a) -2\/33 (b) l (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 + 65 + 21\/(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**3 - 2*g**2 - g - 2. Let w be p(-2). Let j = 17 - w. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 78, -34, -148, -264, -382, -502, -624?\n\"Answer: -s**2 - 109*s + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4300 and 16517160?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 710 + -522. Let u be (-267)\/2*q\/(-282). Calculate the greatest common factor of u and 1424.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63\/((-9)\/3)*(-3)\/9\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1\/1)\/((4\/12)\/(195\/(-39)))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48485 + 95371 - 50318 - 2*s + 10013*s**5 wrt s.\nAnswer: 200260*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 12. Let x be r(-10). Suppose 2 = -2*v, 3*v - 6*v = x*h - 5. Suppose -5*g = -g - h. Sort g, 2, -4 in descending order.\nAnswer: 2, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 64 = -65, x + 5*a = 441. Let z = x - 216. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tsthsxhttsreer. What is prob of sequence he?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -425*n + 416*n - 103*n**3 + 10*n**4 - 8*n**4 as q + c*n**3 + a*n**2 + g*n**4 + y*n and give c.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j**2 - 6*j. Let a(m) = 7*m**2 + 13*m. Suppose -5*c - l = -84 + 145, 2*c + 14 = -3*l. What is c*y(b) - 6*a(b)?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 12\/14*(-10304)\/1104\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2882276 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 13*r - 35. Let a(i) = -6*i + 17. Let h(u) = 9*a(u) + 4*k(u). Calculate h(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 217676.\nAnswer: -1\/108838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 3*t**5 + 221*t**4 - 4081*t**3 + 1187*t**2 + 2670*t = 0.\nAnswer: -89, -2\/3, 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 17 + (-2 - (-9 + (0 - -11))) + 35.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**4 - r**3 + r**2 + 1. Let n be -5*(1 + 7\/(-5)). Let w(p) = 3*p**4 - p**2 - 2. Let b(s) = n*u(s) + w(s). What is t in b(t) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.443 and 224 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 33\/10 of a century?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7269 * -0.3332.\nAnswer: 0.24220308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 502012?\nAnswer: 2, 7, 17929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -5*b + 16 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (30 + -12)) + 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318 is divided by 74.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 u when two letters picked without replacement from eururrueqreeuqq?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30441 is divided by 354.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 13702\/46785?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/511 and -80\/197547?\nAnswer: 14420931","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39936*i + 39933*i + 0*i**4 - i**4 - 4*i**2 + 13*i**3 to the form j + y*i**4 + u*i**2 + a*i + p*i**3 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12344662 (base 8) to base 15\nAnswer: -391690","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.063379172 to 4 dps.\nAnswer: -0.0634","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(1 + 69\/(-6)). What is the nearest to -2\/7 in -3, d, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52\/(-2002)*7\/1.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*l - 2 = 0, -3*l + 0*l = -g - 10. What is the remainder when 58 is divided by (3\/g)\/((-3)\/(-40))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -105*i**4 - 415*i**3 - 565*i**2 - 305*i - 50 = 0. What is i?\nAnswer: -5\/3, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111000 (base 2) to base 6.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2266 - 543. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3511 divide 132304471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 8 + 16*j**2 - 8*j + 6*j**2 - 21*j**2. Let c(l) = -3*l + 3. Give 8*c(x) - 3*y(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b*f*m**2 + 22*b*f*m - 4*b*m**2 - 3*b*m - 46*f*m**2 - 223*f*m - 34*m**2 - 2*m wrt m?\nAnswer: 4*b*f - 8*b - 92*f - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128306945.\nAnswer: 5, 13, 47, 41999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331014.\nAnswer: 2, 3, 43, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*x = -110*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331*r = -509*r - 2670 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -586 + 586.12. Sort w, 0.1, -2\/7 in ascending order.\nAnswer: -2\/7, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6*f**2 - 30*f - 3. Let c be (-224)\/(-35) - (-2)\/(-5). Let y be d(c). What is the second derivative of -y*v**4 - 250*v + 9*v**4 + 238*v wrt v?\nAnswer: -288*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -5. Suppose -7*s - 6 = -s. Let n = s - -5. Calculate the greatest common factor of n and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -87518*y. Let k(q) = 12*q**2. Determine k(r(h)).\nAnswer: 91912803888*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.1 times -1?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(80) - sqrt(5)) + sqrt(125) + -2)*1 + ((-1 + sqrt(5))*-1 + -3 - (2 + (sqrt(5) + sqrt(5) + 0 + -3)**2)).\nAnswer: -35 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256561.\nAnswer: 256561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3452, 3530, 3608, 3686, 3764?\n\"Answer: 78*m + 3374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -12 - (-11 - -4 - 9). Sort 42, f, -3 in descending order.\nAnswer: 42, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**4 + 97938*l**3 - 1195299040*l**2 - 90264403032*l + 798564226752 = 0. What is l?\nAnswer: -83, 8, 24522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 6*k**2 - 5*k - 1. Let u be z(-3). Let p(a) = -a - 4. Let j(s) = -2*s - 8. Determine u*p(o) + 6*j(o).\nAnswer: o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 5*t**2 + 3. Let m be p(-5). Suppose -5*i = -m*i. Suppose 3*o - y + 9462 = 6*o, i = 5*o + 4*y - 15763. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/2)\/((-2)\/4). Let k = 3 + -2.6. Let b = -350 + 5948\/17. What is the nearest to 0 in b, t, k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -1755?\nAnswer: -1755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -21*d. Let u be c(-4). Let b = 505\/6 - u. What is the nearest to 0 in -3\/7, b, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 8*t**2 - 2*t + 1. Let r(a) = a + 5. Let w be r(-4). Let o be 0 - w\/(-3)*0. Suppose 5*n - 5 = -o. What is q(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 5*f**2 + f - 2. Let l be i(5). Let n be (l\/3)\/(3\/9). Solve -n*j - 1 = -2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 231*r**2 - 460*r**2 + 230*r**2 + 6*r - 31*r**3 to the form d*r**3 + y + x*r + a*r**2 and give d.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000401 (base 11) to base 15.\nAnswer: -2500b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 + (15 - 21) - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g - 2*g + 4*g**3 - 5 + 2*g.\nAnswer: 4*g**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 10. Let m = o + 12. What is the highest common factor of m and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360*a + 138216 = -1412*a for a.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -11. Let w(u) = u - 55. Let x(g) = -11*q(g) + 2*w(g). Calculate x(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 895856816 to the power of 1\/3, to the nearest integer?\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 96 - 188. Let p = -89 - z. Suppose 0 = -2*c - 4*v + 92996, 2*v + 61753 + 77749 = p*c. Round c to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309540 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 - 33. Let v be -2 + m - (0 - 4). Let z(a) = -a**3 + 10*a**2 - 2*a + 23. Let c be z(v). Solve 5*i = b + 1, 3 = 2*i + 3*i - c*b for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 4. Let x = -2385 + 2385. Suppose -a = 3*w + d, 3*w + 4*d = -x*w - 12. Are 7\/9 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -5.3. Which is the third biggest value? (a) 28 (b) -2 (c) -1\/3 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5717797\/36 - -158895. Let p = o - 548\/9. Find the common denominator of 71\/66 and p.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3*sqrt(176) + 2*((2*sqrt(99))**2 - sqrt(11)).\nAnswer: -14*sqrt(11) + 789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 45, 74, 115?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**9*n*n*(n**9\/n)\/n*(n**(-2)\/n*n)**18)**(-29\/2) assuming n is positive.\nAnswer: n**261","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -28994521\nAnswer: 6\/28994521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u**(-1\/26)*u*u))*(u**(-38)\/u)\/u*(u**(2\/21)\/u)\/u**(-35))**(6\/13) assuming u is positive.\nAnswer: u**(-2153\/1183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*n + 8. Let s(a) = -a**2 + 5*a + 2. Let o = 11 - 6. Let b be s(o). Solve n*w + 6 = b*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -220*u**2. Let d(j) be the third derivative of 0 + 0*j + 0*j**3 - 1\/24*j**4 + 186*j**2. Calculate d(o(b)).\nAnswer: 220*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 877, 3601, 8127, 14443, 22537?\n\"Answer: -2*w**3 + 913*w**2 - w - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(-1\/5)))\/(s\/(s\/(s*s**(-13\/6)*s))) assuming s is positive.\nAnswer: s**(-1\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.01, -1, -2, 3 in ascending order.\nAnswer: -2, -1, -0.4, 0.01, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 563 - 0*(-2)\/6. Suppose 0 = 20*l + z - 1903. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75048353 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 108 - 292. Let r = 128 + y. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 717 a factor of 93834507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5014123 (base 6) to base 3\nAnswer: -102222000220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/384 and 15\/8?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*s + 22 = -19*s + 3*k, -k = 4*s - 19 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i - 5*i + 19*i - 18*i - 3*i**2 + 2*i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-1104)*(-12)\/(-90). Which is greater: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 10:19 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112, 111, 112, 115, 120, 127?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48703 - 48805.99664. Let i = 103 + n. What is i rounded to 4 dps?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-182964999\nAnswer: -18296499.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2973*k + 864*k - 1280*k + 3421*k to the form g*k + a and give g.\nAnswer: 5978","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 5*u**4\/4 - 23*u**3\/6 + 66*u**2 - 47. Let f(x) be the second derivative of z(x). Find the first derivative of f(h) wrt h.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -3. Let m(b) = -b**3 + 5*b**2 + 5*b. Suppose -129 = 3*u - 46*u. Let n(f) = -f**2 - 2*f**2 + 4*f**2 + f. Calculate j*m(y) + u*n(y).\nAnswer: y**3 - 2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8787 - 2056105\/234. Find the common denominator of j and -125\/24.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 1. Let a(i) = 266*i**3 - 2*i**2 + 2*i. Is 38 a factor of a(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679926 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: Let d(i) = -2*i**2 - 27*i + 17. Let a be d(-14). List the prime factors of a - ((-141 - 0\/(-2)) + -2).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/2)\/(3 - 139\/46). Let f(m) = m**2 - 3*m + 1. Let i be f(4). Suppose i*o - k - 355 = 0. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -13\/7*q**7 + 45 + 0*q + 0*q**4 + 0*q**2 + 0*q**6 - 4\/5*q**5 - 1\/3*q**3. Find the third derivative of f(a) wrt a.\nAnswer: -1560*a**3 - 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 7*y - 10*y - 4*w, 14 = 5*y - 2*w for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.738 - 2.738. Put -0.3, k, -3, -2\/3, -6.5 in increasing order.\nAnswer: -6.5, -3, -2\/3, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -29*l + 338. Give h(12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -74 (b) 0.4 (c) -7620\/13 (d) -5 (e) -2\/25 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3007 - 3030.986. Let m = 24 + a. Round m to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -172200*p**3 + 14565*p**2 + 16?\nAnswer: -1033200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, g: 12, a: 2}. Give prob of picking 1 u and 2 g.\nAnswer: 110\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 226705.969 to the nearest 10000.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2289 divided by -763\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xj when two letters picked without replacement from jxjjjjxj?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.096802 bigger than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + x - 5*x + 1854, 0 = -2*w - 2*x - 738. Round w to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 2*h + 12 = -3*u, u - 20*h + 18*h + 6 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**1*a*a)\/a)**(9\/7)*(a\/(a\/((a\/((a**(1\/3)\/a)\/a))\/a)*a))**(-3\/17))**(2\/45) assuming a is positive.\nAnswer: a**(278\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -h**3\/3 + 6*h**2 - 923*h. Give x(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(7)*-4*-4)**2 + (sqrt(700) + 0)*-1.\nAnswer: -8960 - 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58 - 103. What is the tens digit of z\/(-20)*(192\/(-9))\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124.2433802 rounded to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 141113977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2267188 and 6018.\nAnswer: 401292276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 4. Suppose f - 7 = -5*h + 18, 0 = 5*f + 5*h - 25. Solve f*b = -c*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 563228 divided by 563228\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411 is divided by -22 + 19 - -8*3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -57 - -53. Let a(d) = 17*d + 7. Let c be a(-4). What is the second biggest value in c, w, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 222369?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36845541.\nAnswer: 3, 19, 215471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240181?\nAnswer: 461, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2805162?\nAnswer: 2, 3, 467527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -85\/3*l**2 + 346\/3*l + 2\/3*l**3 - 152\/3 = 0. Calculate l.\nAnswer: 1\/2, 4, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*t**3 - 372*t**3 + 187*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -3 - (3 - (-3 + -4 - 4)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1401506.115 to the nearest 1000.\nAnswer: -1402000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 540?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 42950925 divided by -3825\nAnswer: -11229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a + 2. Let c(g) = -3. Let l(k) = -k - 15. Let x(b) = 11*c(b) - 2*l(b). Calculate 4*d(t) + 3*x(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4125, 4313, 4625, 5061, 5621, 6305, 7113?\n\"Answer: 62*k**2 + 2*k + 4061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3107 and 97.8.\nAnswer: -303864.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.103 - 1.35318392\nAnswer: -1.45618392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(1\/3))\/(i*(i**(-5)\/i)\/i))\/(i**(-2)*(i*i**6)\/i))\/(((i*i*i\/i**4*i*i*i)\/i*i*i**(4\/5)\/i)\/((i*i**1\/i)\/(i*i**3*i*i))) assuming i is positive.\nAnswer: i**(-52\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*h + 156*h - 10 = 0. Let g(r) = 159 - 159 + h*r - r**2. Let t(u) = -2*u. Calculate t(g(n)).\nAnswer: 2*n**2 - 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15243?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54007, 107990, 161955, 215902?\nAnswer: 269831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -144706, -144710, -144714, -144718, -144722, -144726?\n\"Answer: -4*g - 144702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7850 + 14142. List the prime factors of t.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 60) + 58 + -21.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2.446 * 0.08\nAnswer: 0.19568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9424668 + -15487844.\nAnswer: -24912512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 5:45 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 2. Let h(v) = -6*v**2 + 0*v**2 + y*v**2. Let j(g) be the second derivative of g**3\/2 - g. Determine j(h(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 234094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a - 644. Let n(i) = -2*i - 184. Let q(s) = -7*n(s) + 2*x(s). Let f(y) = 2*y**2 - 2987*y + 2. Determine q(f(o)).\nAnswer: 8*o**2 - 11948*o + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 150*n - 1269. Calculate m(141).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 0.325 (c) 4 (d) 2\/5 (e) -2\/11 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -271 + 271 - 24*n**2 to d + a*n**2 + p*n and give a.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 237 - 221. What is the least common multiple of -1*(-11 - -1)\/1 and p?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**7\/2100 - k**6\/600 - k**5\/200 + 18*k**2. Find w such that q(w) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 18*b - 693. Calculate t(44).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r**2 + 27*r + 7*r - 28*r**2.\nAnswer: -17*r**2 + 34*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 434018.\nAnswer: 2, 13, 16693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7415, 8038, 8793, 9674, 10675, 11790?\n\"Answer: -a**3 + 72*a**2 + 414*a + 6930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223*b + 75*b - 36*b.\nAnswer: -184*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4988 - -8099. What is the greatest common divisor of 1281 and x?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, k: 1, t: 4, a: 3, l: 1, h: 2}. What is prob of sequence kj?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210 + 121111221202202?\nAnswer: 121111221201222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 7*n - 250. Let x = 1343 - 1202. Let f = x + n. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 681, 0.11, -12, 1, 0.4.\nAnswer: -12, 0.11, 0.4, 1, 681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 - -21. Let d = 9 + a. Let y be (-4)\/6*(1 - d). Is y equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 852640463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-982150)\/(-120264) + ((-12)\/(-27))\/2. Let m be 3\/(-12) + 8771\/35077. Let l = j + m. Calculate the common denominator of 1\/36 and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -160758 (c) -3 (d) -4 (e) 5\/3 (f) 0.3 (g) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 174754, 349485, 524216?\n\"Answer: 174731*r + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76875853?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252735 divided by -1245.\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 196067061 divided by -3?\nAnswer: -65355687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 8*w**2 + 5*w - 6. Let u be b(-7). Solve -3*a = -c + 7, 4*c - u = -a + 3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11268 divided by 1\nAnswer: -11268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-7) - (-248)\/14. Let z be (9 - -7)*14\/4. Let c = 70 + z. Calculate the greatest common divisor of c and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of j**5\/60 - 3*j**4\/4 + 4*j**3\/3 + 9*j**2. Let z be c(18). Solve -16*g + 18*g = z for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/6 - (-420)\/(-9). List the prime factors of ((-5)\/(35\/(-72)))\/(s\/(-1120)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 1100100?\nAnswer: -1100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/2*98\/3. Let z = -4877 - -4910. Suppose -4*g + h + z = 0. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -76956*p**4 + 98483?\nAnswer: -307824*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 180 * 6511.67\nAnswer: 1172100.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15089 and 0.96?\nAnswer: 14485.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 1523?\nAnswer: -1525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3502090 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 o = 45 + -46. List the prime factors of ((-8)\/12)\/(2\/(234\/o)).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(3\/(-21))\/(6\/36).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -54*h**4\/5 + 4763382*h**3\/5 + 287056572*h**2\/5 + 12711024*h = 0.\nAnswer: -60, -2\/9, 0, 88271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-21))\/((-1)\/3)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*t - t + 5*t)*(-319*t + 184*t - 3 + 2) + 26*t**2 + 133*t - 133*t to p*t + c + s*t**2 and give s.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -6*q + 109. Calculate d(27).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2. Let v(u) = -5*u - 152. Let m(l) = 81*l + 2433. Let x(b) = 2*m(b) + 33*v(b). Give x(n(j)).\nAnswer: -3*j**2 - 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/27)\/(4\/(-12))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26730?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 291\/4 - 1 - 7\/(-28). Let a be 1160\/k - 3\/27. Let h be 4\/(a\/(-300))*128\/2. What is h rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (87255\/(-277) - -281)*((-1)\/11 + 0)\nAnswer: 34\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 2*q**2 - q - 136*q**3 + q**2 - 2*q**4 - 139*q**3 - 4*q**2 + 273*q**3 to the form a*q**3 + m*q**2 + j*q + z + w*q**4 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3176817 and 6321?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1801*u**5 - 3*u**4 + 2176*u**2 + 2508*u**5 - 2830*u**5 + 3*u**4 wrt u.\nAnswer: 88740*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261715 is divided by 215.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.97259 minutes in microseconds?\nAnswer: 1858355400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 736429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/(-28)*-1*4. Let i(q) = -3*q**2 - 2. Let x(y) = -16*y**2 + y - 9. Let k(g) = m*x(g) - 11*i(g). Give k(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 10, -21, 2, 0.\nAnswer: -21, -8, 0, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 9*t - 148. Let q be y(17). What is the second biggest value in q, 0.3, 0.038, -3\/8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 3:56 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 968497753?\nAnswer: 31, 31241863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 1 - 1) + (-5 - (-11 - -5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1924726309?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.3 + 0.3. Sort 2, i, -2\/5, 0.3 in decreasing order.\nAnswer: 2, 0.3, -2\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 12:47 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + u**2 - u. Suppose -4 = a + 3*a. Let k(j) be the first derivative of -j + 1\/2*j**2 + 2. What is a*q(m) - k(m)?\nAnswer: m**3 - m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 719499794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20457*u + 3992 = 20560*u + 4770 + 5917 for u.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + (sqrt(121) - (sqrt(121)*-2*-6 + sqrt(121) + sqrt(121))))\/(sqrt(11) + sqrt(275)*2 - sqrt(11)).\nAnswer: -6*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -128791\/12 - -10743. Find the common denominator of 23\/118 and o.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 + 79. Let m = 2235.23 + -2197. Let z = m - d. What is the closest to -2\/7 in 5, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -570*s**3 - 4*s**2 - 5*s + 5. What is the hundreds digit of q(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -143221202 + 421?\nAnswer: -143220231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 222 + -208. Let v = y - -213. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 8790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 314012?\nAnswer: 314005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-eight fifths of a millennium in centuries?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 9:53 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*g = v + 140, -2960212*v = 2*g - 2960214*v - 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 575 and 5?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -1. Suppose -o - p*k = 3*k - 20, -2*k = -3*o - 8. Suppose o*x = 2*x. Which is smaller: x or 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*y + 4*i - 71, 3*y + 4*i - 117 = 0. Calculate the remainder when y is divided by 31\/3 - 2\/(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-42)\/(-9))\/(6\/63). Suppose -i = 3*y - j - 184, -188 = -4*y + 4*j. Let v = y + -14. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 less than 257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 4*y - 51. Let q(i) = -i**2 - i. Let w(g) = 20*g**4 + 68*g**3 + 46*g**2 - 26*g - 24. Let z(k) = y*w(k) - 6*q(k). Solve z(r) = 0 for r.\nAnswer: -2, -1, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -506028*o**3 + 40*o**2 - 9380365?\nAnswer: -1518084*o**2 + 80*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 1:05 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-8) + 1\/(-2). Suppose y = 4*b - 8 - 0. Suppose -2*q - 2*i = -4, -q - 8 = 3*i - 0. Calculate the lowest common multiple of b and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 45130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/3825 and -83\/396.\nAnswer: 168300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22911311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 13 = -5*n + 25, -88 = -3*o + 5*n. Let m = o + 21. Let j(q) = 2*q**2 - 30*q + 67. Calculate the remainder when m is divided by j(13).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51959.95 minus 257?\nAnswer: 51702.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/4)\/y)\/(((y*y**(-1\/2)*y)\/y*y)\/y)*(((y**(2\/11)*y)\/y)\/y)\/(y**(-2\/5)*y*y*y))**(5\/12) assuming y is positive.\nAnswer: y**(-1027\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -8. Factor 12*z**q + 9*z**4 - z**3 + z**4 + 3*z**3.\nAnswer: 2*z**3*(2*z + 1)*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 12914 = 4*t + t, -s - 2584 = -t. What are the prime factors of t?\nAnswer: 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 18. Let r = 0.04 + -0.14. Let j = r + 0.3. Which is the nearest to -2\/5? (a) j (b) s (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 9:58 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, -3, -44?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 43*g + 258. Is b(23) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5501.08 + -5807. What is m rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -18*n - 1769. Calculate h(-98).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2.161 * 7.179\nAnswer: -15.513819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4913430?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 divided by 4705?\nAnswer: 106\/4705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + k + 19. Calculate the remainder when r(0) is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13\/8 of a microgram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4606267 + 205.129?\nAnswer: 4606472.129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = -0*g + 3*g. Suppose 0 = i - 5*i + g. Suppose 3*z - 4*y - y = 21, -3*y = 5*z - 35. Calculate the greatest common factor of z and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61103 to the power of 1\/2, to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 788 divide 37186128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -p**5\/20 + p**4\/3 + p**3\/6 - p**2\/2 + 3*p. Is u(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/1325 and -6\/166175?\nAnswer: 8807275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**2 - 6*o**2 + 4*o**2 + 10 to the form a*o**2 + x*o + v and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.017 - -1.983. What is the second smallest value in -5, y, 11, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*3\/(-9)*3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 27.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -171973 + 337723. Suppose -34250 = -2*x + m. What is x rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4222 divide 695963178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -25520.36602 rounded to the nearest one thousand?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30531, -30532, -30543, -30570, -30619?\nAnswer: -30696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -63910 less than -63911?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -110, 3, 2, -8, -12 in decreasing order.\nAnswer: 3, 2, 1, -3, -8, -12, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2277667.999914 + -2277679. Let w = 11 + y. What is w rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 370 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7326344 nanometers to centimeters.\nAnswer: 0.00000007326344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**1*r**(-1\/2)*(r*r**(-2))\/r**(1\/8) assuming r is positive.\nAnswer: r**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/21 - 30\/9. What is the units digit of (129 - (4 - 1)) + 2 + r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001094538 to five dps.\nAnswer: -0.00109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(294) - (sqrt(294) + -1*sqrt(294))*2)*2)\/((sqrt(2592)*-2)\/((sqrt(90)*-2)\/sqrt(10))))**2.\nAnswer: 49\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00344461 to 5 decimal places.\nAnswer: 0.00344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 32, 148, 388, 794, 1408, 2272?\nAnswer: 3428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = i. Suppose -25 + i = -l - 5*s, 25 = -4*l + 5*s. Suppose -3*g + 12 = l, -4*k = g - 2*g - 2452. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1134015.857 to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiiz. Give prob of sequence ii.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1451187035 to the power of 1\/2, to the nearest integer?\nAnswer: 38094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-1 + -1 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 41*a**2 + 86*a + 38. Let f be b(-43). Find the third derivative of -27*y**2 - 3*y + y**4 - 2*y + y - 55*y**5 + 0*y**4 - f*y**5 wrt y.\nAnswer: -5580*y**2 + 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzv when three letters picked without replacement from {z: 2, v: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*y - 31, -4*y + 3*d = 6*d + 7. Solve -3*k - 2*r + 6 = 0, 4*r = -k + r + y for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26 and 26026?\nAnswer: 26026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 352161*z + 537. Let y be n(-17). Round y to the nearest one hundred thousand.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -33*g**3 + 587637*g**2 - 2456838*g + 427272 = 0.\nAnswer: 2\/11, 4, 17803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -s**3\/3 - 2*s**2 + 2*s - 3. Let d be f(-4). Let u = 1\/238 - -467\/2142. What is the smallest value in 0, d, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(-5 - d + 5) + 0 - 3*d - 3 + 4*d.\nAnswer: -d - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 4, 3, -5, 5, 6 in descending order.\nAnswer: 9, 6, 5, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1848)\/(-231) + 62275 + 0?\nAnswer: 3, 13, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a hour in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 157, 353, 627, 979?\nAnswer: 1409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -100 + -bda65?\nAnswer: -bdb65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 68663103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -9*(-3)\/9 + -1 - 4. Which is the closest to -2? (a) -4\/7 (b) x (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-3))\/1*(-10)\/10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245074?\nAnswer: 2, 181, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-290*v**3 + 66*v - 66*v)*(1 - 1 + 2*v)*(1 + 7 - 1) in the form i + j*v + r*v**4 + h*v**3 + w*v**2 and give r.\nAnswer: -4060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2 - 3*l - 1. Calculate r(6).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 80.1 * 2.2.\nAnswer: 176.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 + 221?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 44 = 2*b, 25 = 5*q + b - 33. Let h be (-15)\/(-2)*8\/q. Suppose -l + h*l = -5*k + 19, 4*l = -3*k + 13. Solve -6 = k*p - 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 4*s**2 + 11*s + 3. Give b(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/85 and 75\/6245936?\nAnswer: 31229680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 20*s - 3. Does 19 divide i(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2 - 5*c. Let m(z) = z**2 - 13*z - 5. Let a(o) = 2*o**2 - 20*o - 8. Let y(r) = -5*a(r) + 8*m(r). Calculate 4*p(u) - 5*y(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 26*x + 52. Let w(j) = 2*j + 96. Let y be w(-36). Let v be t(y). Solve -a = -5*n + 16, -5*a - v*n = -3*a - 24 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 404574393 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - -15. Let m = k - -3. Let f be (2\/1)\/(m\/2). Let x(a) = a - 1. Determine x(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 842771929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -4 + (-29 - (-3 - 25)) + -60?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9}. What is prob of sequence qqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 + 189700*h**2 - 1517315*h + 1327620.\nAnswer: -5*(h - 37932)*(h - 7)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 230 and 83620.\nAnswer: 1923260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**3\/3 + 3*x**2 + x - 18. Let u be h(-7). Let p be -11*(-4 - u)\/4. Which is greater: 32 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 192*u**2 + 7*u + 23. What are the prime factors of f(9)?\nAnswer: 2, 7, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aeanemxc. Give prob of sequence xmea.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.21 (b) 0 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*r + 5*u = -86*r + 1122, -5*r + 42 - 12 = u - 11 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 258, 261, 264?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qiqqqiiqqqqq. Give prob of picking 4 q.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 11:21 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49454573?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 15 = 3*c, -m + 6155 - 6170 = -3*c for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -20*p**2 + 162*p - 104. Give c(6).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 1. Suppose -m*a - 5*n + 26 = 0, -5*a + 7*n - 10 = 2*n. Suppose -t - a*z = -241, 2*z + 720 = 3*t + 5*z. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -1\/6*f**3 - 2*f**2 - 4*f + 0. Suppose 3*n = 2*g + 8, 4*n = -4*g - 4 - 12. Determine j(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-2)\/(-6)*(-3)\/5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5 + 0 + sqrt(425)*-1 + (sqrt(425) + -2)**2 + -4 + -3.\nAnswer: -25*sqrt(17) + 426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a micrometer in nanometers?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, -4, 0, -13, -2 in decreasing order.\nAnswer: 5, 0, -2, -4, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 619304 + -618176.644. Let w = r - 1131. Round w to 1 decimal place.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 5 + 7, -a + s = -5. Is 2\/3 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gxog. Give prob of sequence gox.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14236 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -1, 4, 13, -52 in ascending order.\nAnswer: -52, -2, -1, 4, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -95 divided by -7\nAnswer: 95\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.4586157+-0.5\nAnswer: -0.0413843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 1 - 2)*(-2*k + 2 - 2) + 721 - 3*k + 679 - 1430.\nAnswer: -11*k - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14936 + 5*m**3 - 4*m**3 + m**3 + 352*m.\nAnswer: 2*m**3 + 352*m - 14936","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.430473697 to 2 dps.\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**4 - 4*t**3 + 4*t**3)*(2 + 3 - 2) + (-1 + 1 - t**2)*(-2*t**2 - t**2 + 0*t**2) - t**4 + 0*t**4 - t**4.\nAnswer: -5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (3 + (-4 - 0) + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 3 = -5*b, -10*m = 6*b - 11*m + 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 7*v + 5. Let z be f(9). Let u = z + 17. Let m = -407\/5 - -81. What is the second smallest value in u, 1, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/((-1)\/(-9)*-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1163 - 1164. What is the smallest value in 3, 0.475, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -96.71847 * 0.053.\nAnswer: -5.12607891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -2*u + 166. Calculate the remainder when u is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17850 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 3, 1, 111, 645, 4 in ascending order.\nAnswer: -12, 1, 3, 4, 111, 645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15990837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 373*w - 2867*w + 12470 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 8*b**3 + 6*b**2 - 34*b - 365. Give v(-8).\nAnswer: -3805","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143319*a - 3*a**2 - 143319*a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10 - 9)*(-1 + 2). Let d(f) = -2*f**2 - 2*f**2 + 0*f**2 + f - 1 + f**2. Calculate d(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**3 - w**2 - w + 2. Let b(m) = -15*m**3 - 576*m**2 + 5655*m + 3570. Let r(k) = -b(k) - 15*q(k). Find l, given that r(l) = 0.\nAnswer: -3\/5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(405) + sqrt(405) + (sqrt(405) - (-2 + (sqrt(405)*-1)**2)) - (-5 + (sqrt(405) + sqrt(405) + -1)**2)).\nAnswer: -2015 + 63*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - -9) + 0 + 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 223c5 (base 14) in base 6?\nAnswer: 1440345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lznlzye. What is prob of sequence nz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*f = 724 - 595 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 k, and 1 g when three letters picked without replacement from {g: 3, k: 3, b: 2, x: 9, s: 2}.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 13 = 2*h. Suppose -14 = -4*y - h. Suppose -5*u - 3*s = -y*u - 6, 0 = -3*u + s - 2. Round u to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**3 - 30*f**2 - f + 51. Let w be d(15). Solve w = -7*s + 29 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2 - (-15)\/6. Suppose h*l = l. Let y be (3 - 1) + 2 + l. Solve -y*v - 16 = -0*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-3 - (-513)\/(-6)). Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/42 or -9?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 10*v**2 + 17*v - 13. What is m(8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 8:40 AM?\nAnswer: 545","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n - 7. Let z(t) = -2*t - 4. Let a be z(-6). Let j = a + -8. Give l(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4470 or 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 11 = 2*d + 15, -29 = -5*d + 3*b. Suppose 2*q = -5*o - 13, -q - 4*q = d*o + 24. What is the fourth biggest value in 1, o, 2, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k - 5*k**2 - 19*k**2 + 0*k - k**2 + 2*k**2 + 0*k**2 + (4*k + 0*k - 2*k)*(-k + k + k) + 3*k**2 + 2*k**2 - 3*k**2.\nAnswer: -19*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -21.25. Let c = 0.25 + r. Let k = c + -9. What is the biggest value in 0.5, k, 1\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22550567 to the power of 1\/3, to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 2*y - 5*w + 43, 2*y - 8 = 2*w. Suppose -3 - y = -4*v. Suppose s = v*s - 52. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*p - 12913, 2423 = 2*p - 4*r - 4037. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -295 + 16 + 90\/(-10). Let r be 2\/16 - 6\/(n\/6). Solve 0*b - r*b**3 + 1\/4*b**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1741, 4, 21, -2, 5, -4, 0 in decreasing order.\nAnswer: 1741, 21, 5, 4, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3012*f**2 - f. Let y(q) = 2*q. What is v(y(d))?\nAnswer: -12048*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*g**3 - 6*g + g - 3*g - 2*g wrt g.\nAnswer: 60*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50220a (base 14) to base 3\nAnswer: -12001220212012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 578 - (3\/3 - -1). Suppose 594 = 5*v - 3*f, -5*v + 0*f + y = 3*f. What is the greatest common divisor of 13 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*p + 226 - 228 - 34*p)*(-9*p**3 - 10*p**3 + 3*p**3) as d*p**3 + c*p**2 + b + q*p**4 + m*p and give q.\nAnswer: 464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*g + 336145 = -55*g. Is 23 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -0.5, -0.251, 7?\nAnswer: -0.251","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -9. Let z = 225 + -116. Suppose r*y - 4*g = 3*y + 114, 5*y - z = -g. Calculate the lowest common multiple of y and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/18*((-532)\/(-33))\/(-19).\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 20662, 20727, 20878, 21157, 21606, 22267?\n\"Answer: 7*p**3 + p**2 + 13*p + 20641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2987 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11474 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4 = h. Suppose -2*s + h = 2*s. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3 - 56*q**2 - 192*q.\nAnswer: -4*q*(q + 6)*(q + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j - 4. Suppose -1 = 2*u - 13. Let t be w(u). Let o = 1 + 14. Solve -z - t*z - o = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -52.7 (b) -28 (c) 3 (d) -2 (e) 51 (f) 0.5 (g) -3\/4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = l + 952. What is the remainder when l is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2 + 0 - 5*j + 0*j. Let m(u) = 14*u + 6. Suppose 3 = 3*y, 4 = 4*b + 3*y + 33. Give b*c(x) - 3*m(x).\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137, -145, -175, -239, -349, -517, -755, -1075?\nAnswer: -1489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(9)*-2*2)\/(sqrt(108)*1 - (sqrt(12)\/sqrt(4)*-1 - sqrt(3) - sqrt(3) - sqrt(3))).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15.2 - 52.8. Let z = v - 7. Let n = z - -72. Sort -0.1, 6, n, -2 in decreasing order.\nAnswer: 6, -0.1, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -609822983733 and -1396.\nAnswer: -609822985129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 49026 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.014 (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1042*r + 155*r - 5243 - 1853 = 0 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 1. Let u(j) = 7*j**2 - 21. Give -6*m(v) - u(v).\nAnswer: -7*v**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -233*o**3\/3 - 3201*o - 3701. What is the derivative of l(p) wrt p?\nAnswer: -466*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 96 = 270. Let p = r + -50. Is 6 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 767?\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 - 928*k**2 - 33732*k + 1154664.\nAnswer: -4*(k - 21)*(k + 79)*(k + 174)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -1\/2*u**3 + 1\/2*u**4 - 18*u + 0*u**2 + 0. What is the second derivative of k(j) wrt j?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3624622 to the nearest integer?\nAnswer: 1904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 47352668417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 671749*b**3*r**2 + 5*b**3*r + 34*b**2*r**2 - 4*b - 6406*r**2 wrt b.\nAnswer: 4030494*r**2 + 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*j + 0*j + 119 = 0, 3*d - 82 = -5*j. What is the highest common divisor of d and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 4166144.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1175, -0.5, -7, 12, 1, -4 in descending order.\nAnswer: 1175, 12, 3, 1, -0.5, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 771521 to the nearest integer?\nAnswer: 878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 485123 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 3:35 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -10. Let s be 51\/(-68) + (0 - (-14)\/8). Which is the closest to 1? (a) -2\/3 (b) s (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*y + 193*y + 49 = -275 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/1124 and 12\/11.\nAnswer: 12364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -9?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -312 - 3?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2620*v + 2400*v = 33699 + 55599 - 24038 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 q, 1 w, and 1 a when four letters picked without replacement from {q: 1, k: 3, a: 3, r: 2, w: 3, m: 1}?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*u + 99*u = 59*u + 490 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*(-38)\/(-6)*-4. Let v = -24 - p. Let u = 106 - v. Does 18 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, a: 7, e: 4, p: 3, x: 3}. What is prob of picking 1 x and 1 p?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7180814 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*5\/(-45)*-6. Let k be 1 + (-4 - (d + -2)). Which is greater: 1\/20 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6648322794.\nAnswer: 2, 3, 19, 43, 1356247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + j**2 + j. Let b(o) = 6*o**3 - o + 2*o**2 + 6*o**3 - 8*o**3. Let u(y) = b(y) + l(y). Find the third derivative of u(t) wrt t.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1658 + 1654. What is the fourth biggest value in z, 1\/5, 10, -1\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**7\/s)\/s)**(20\/3)\/((s**18*s)\/s*s**8*s))**(-5\/6) assuming s is positive.\nAnswer: s**(-65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 579, 1496, 3615, 7536, 13859, 23184, 36111?\n\"Answer: 100*r**3 + r**2 + 214*r + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11371 + 34578. List the prime factors of n.\nAnswer: 45949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4567*d**2 + 2642*d**2 - 1207*d**2 - 2617*d**2 - 4138*d**2.\nAnswer: -9887*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -602 + 1183. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12330333 + 4?\nAnswer: 12330337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from pwppzzzwpzpwpzpzppz?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/32*6\/30*10?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(176) + -2 + (1*sqrt(55)*-1)\/sqrt(5))**2.\nAnswer: 20*sqrt(11) + 279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.6108, -6, 0.2, 38, 0, 1 in decreasing order.\nAnswer: 38, 1, 0.2, 0, -3.6108, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 335890*x + 669 + 986 + 511 - 332387*x wrt x.\nAnswer: 3503","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11890.35 - 515426.\nAnswer: -503535.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 3:35 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 4*k - 52, -64 = -4*k - 2*b - 12. Let q = 23 - k. Calculate the greatest common divisor of 20 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 10*p + 44. Let i(d) = d + 4. Let g(r) = 22*i(r) - 2*m(r). Let f(z) = -282*z**2. Calculate f(g(w)).\nAnswer: -1128*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 26 = -11. Determine j so that r*j**4 - 13*j**2 + 2 + j**2 - 2 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1761602.\nAnswer: 2, 880801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/2))**(-8\/9)*(o*o**(-1\/2))**(29\/5)*(o**0\/o**(-2\/3))\/(o**(-2\/3)\/o*o)**(-20) assuming o is positive.\nAnswer: o**(-919\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 3:57 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*i + 1\/4*i**4 - 1\/2*i**3 + 0 + 1\/4*i**2.\nAnswer: i**2*(i - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1\/4, 39, -0.1 in decreasing order.\nAnswer: 39, -0.1, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*y + 312 = -29*y + 17*y - 14*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 268 and 335?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -3*q**2 + 1065*q + 3222 = 0.\nAnswer: -3, 358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1060)\/14)\/(24\/168). Let x = h + 532. Factor 2\/3*z**3 - 2\/3 - x*z**2 + 2*z.\nAnswer: 2*(z - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 270 = -5*g, -3*g = -0*b - 2*b + 169. Let d = 56 + g. Solve 0*o + 4*j = d*o - 20, -2*j = 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a day in hours?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 69, 5 in ascending order.\nAnswer: -3, 0, 5, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 10:51 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - 14. What is k(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7241, -57949, -195585, -463613, -905497, -1564701, -2484689?\nAnswer: -3708925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -3) + 0 - (24 - 22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 4*f = -24, 5*d - 255*f + 258*f - 11 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1139, 1136, 1131, 1124, 1115, 1104, 1091?\n\"Answer: -i**2 + 1140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12758 is divided by 116?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -141, -293, -451, -615, -785, -961?\nAnswer: -1143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(6\/17)\/s**28 assuming s is positive.\nAnswer: s**(-470\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than 13\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-4 + (-44)\/(-10)). Solve -w*x - 2*a = 28, 3*x - 4*a = 6*x + 28 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3554 is divided by 1103?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 377113 is divided by 377097?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 s when two letters picked without replacement from ysykyhkyxy?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/7 or 0.4838?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10442203111 (base 5) to base 3\nAnswer: -210222022221012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 1, -17, 7474, 0, 3\/7?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -1 + -1*(-3 + sqrt(1053)*2))*5)**2.\nAnswer: -900*sqrt(13) + 105325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31021124 (base 5) to base 13.\nAnswer: -8a587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/9 + 0*k - 1\/3*k**2 + 1\/9*k**3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 291 - 289. What is the closest to 1 in -3\/2, m, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 3, -0.4, 0, -25\/3 in descending order.\nAnswer: 3, 0, -0.1, -0.4, -25\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 89 + -35 + -54 - -58.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3154532662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -82795 divided by -9?\nAnswer: 82795\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + i + 6. Let q be l(0). Let v be (-2)\/(q\/(-9)) - 3. Suppose v*m = -m. Solve 2*g - g = 2*w + 9, -2*g + 3*w + 16 = m for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4143 (base 5) to base 11.\nAnswer: -459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4552 rounded to the nearest 100?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2105 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -193179 - -360818. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*d + 10*d + 2*d**2)*(2*d + 2*d + 2*d) to the form y*d**3 + r*d**2 + s + b*d and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 121 + -58. Suppose -257 = 2*v - 5*v - 5*z, 4*v = 3*z + 333. Suppose -2*p = 10*p - v. What is the greatest common divisor of p and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.7 + 4.3. Let m = -66459\/20 - -3323. What is the smallest value in b, 2\/19, m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**3 - 667*a**2 - 1648*a + 2313. Calculate y(-331).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 45 = 4*o, 5*o = -3*f + 5*f + 60. Suppose -3*x - o*x = -39. Solve -2*m = 2*m + 3*k + 22, 0 = 3*m - x*k + 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (808\/(-100) - -8)\/(12\/(-180))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -9*l**2 - 3355*l - 48320. Give j(-15).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*d**2*k**2 - 2*d**2 - 77*d*k**2 + 12126*k**2 wrt d?\nAnswer: 6*d*k**2 - 4*d - 77*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1884478 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1551 - 98. Is (-4)\/(-26) - u\/13 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 3*q + 104, -4*q = y - 14 - 17. Calculate the greatest common factor of 2413 and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36000 = 5*f - 18155. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -153 + 145. Let k = c + -32. What is the closest to k in -2\/7, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*w**6 + 772*w**5 + 9*w**3 - 743*w**2 - 95*w + 1 wrt w?\nAnswer: 2640*w**3 + 46320*w**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r**2 + 3*r**2 - 2*r - 7 + 9*r + 0*r. Let k be y(6). List the prime factors of 2 - (-8 - (k + 0)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t - 18. Calculate x(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 2*l**2 - l - 1. Let g(p) = 31*p - 97. Let w(d) = g(d) - o(d). What is r in w(r) = 0?\nAnswer: -6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 23*i - 69. Give a(-25).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 10*i. Calculate w(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 772, 668, 552, 424, 284, 132, -32?\n\"Answer: -6*a**2 - 86*a + 864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*((-18)\/195)\/((-3913)\/1183).\nAnswer: 6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-4) - 1563\/4. Let i = 1463 + r. What are the prime factors of i?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3971 - 3972. Is -3123 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 190 = 4*r. What is the remainder when 82 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40 - -20. Let k(g) = -3*g - 4. What is the tens digit of k(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + sqrt(147) + -1))**2.\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 32*b - 80*b**3 + 3727*b**2 - 3727*b**2.\nAnswer: -80*b**3 - 32*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 141*n - 140*n - 24. Are 23 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*y**5 + 252*y**4 + 4*y**3 - 926*y + 8 wrt y?\nAnswer: -40*y**3 + 3024*y**2 + 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 16599460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 81 in 4, 1\/2, -3\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/4 - (-5)\/(2350\/(-215)). Let a = -0.154 - -0.056. Let n = 0.002 - a. Which is smaller: t or n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-4))\/((308\/(-14))\/616)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 4*z**2 + 3*z + 2. Let k be l(-3). Solve -7*t + k*t + 25 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 4, -2\/9, -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*d**3 + 5*d**2 + 11*d**2 + 26*d**2.\nAnswer: -110*d**3 + 42*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 2:25 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/((-11)\/(-6) + -2). Suppose 28*l = 27*l - 93. Let y = l - -114. Calculate the highest common divisor of y and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/((sqrt(6) - (sqrt(6) - sqrt(24)))*5).\nAnswer: sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/10 + 19*b\/2 - 1037\/5.\nAnswer: -(b - 61)*(b - 34)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 702820, 702836, 702852?\nAnswer: 702868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -643.745529 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (6979 - 2)\/((4 + -3)\/1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(162) + sqrt(162))*-3.\nAnswer: 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 232261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2. Let y(q) = q + 1. Determine b(a) - 2*y(a).\nAnswer: -2*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1096\/9 + 122. Let o = 1433\/9 + -159. Find i, given that s*i**2 + 0 - o*i = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 a, and 1 y when three letters picked without replacement from lyyluauuly?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -1 - (-23 + 53 - 34).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**9\/5040 + a**6\/360 - a**4\/4 - a. Let t(m) be the third derivative of s(m). Find the second derivative of t(d) wrt d.\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 392248 + -152730. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 8*p - 1377, 0 = -4*p - 3*k + 923 - 232. What is the biggest value in p, -1\/5, -2\/27?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13437530 to the nearest integer?\nAnswer: 3666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 155121231 to the power of 1\/2, to the nearest integer?\nAnswer: 12455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/14)\/(13\/(2275\/(-50)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2887 to 2 decimal places.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10107 - 70751\/7. What is the closest to j in -1.4, -2\/13, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**2 + 3. Let y(l) = -2*l**2 + 3. Let f(h) = 2*h**2 - 24*h - 18. Let b be f(16). Let a = b - 116. Give a*y(t) + 7*k(t).\nAnswer: -2*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2231111013232 - 1?\nAnswer: -2231111013233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 1:26 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1110101011000000 (base 2) to base 3\nAnswer: 10001102210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 12:39 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -261630046 + 261629994.0000217. Let g = 52 + u. What is g rounded to six dps?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 13 + 2. Let t be 4*x\/(-6) - -12. Suppose -14 = 5*b + 3*q - 4, 4*q + t = -5*b. Is -2 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 16.48. Let i = -18.18 + 22.9. Let n = i + t. What is n rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k + 186 = 94*k - 15*k - 198 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2. Let j(m) = 173*m - 2. Determine j(k(q)).\nAnswer: -173*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 787 is divided by 139?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j. Let o(k) = k**2 - 7*k - 9. Let y be o(8). Calculate r(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133 + 361 = 94*c - 1292 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 x when two letters picked without replacement from {y: 1, x: 1, k: 1, f: 1, i: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 6609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/(-2*sqrt(7))*-6)**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, 0.3, 5, 2\/3.\nAnswer: 0.3, 2\/3, 0.9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-72)\/(-12) + -13?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -265513336*t**2 - 2578508*t + 22 wrt t?\nAnswer: -531026672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 12*k**2 + 4*k. Let j(n) be the third derivative of -n**5\/60 - n**4\/24 + n**2. Suppose 193*m = -0*m + 772. Determine m*j(r) + v(r).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 44 - 13*k - 14*k + 10*k + 19 + 77. What is a(9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2766410?\nAnswer: 2, 5, 17, 16273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/18)\/(-1)*(104\/8 - 4))\/57\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4 + 1 = -3*q, 5*q = 4*i + 20. Let r(o) = o**2 + 4*o - 1. Let n be r(i). Find the second derivative of n*k - 3*k + 0*k**3 + k**3 wrt k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 - 32672175*t - 32672170.\nAnswer: -5*(t + 1)*(t + 6534434)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bc when two letters picked without replacement from ccclclbcb?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - x**2 + 3*x + 2. Let q = -8 - -5. Let y(w) = -2*w**3 - w**2 + 5*w + 4. Give q*y(o) + 5*f(o).\nAnswer: o**3 - 2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-7) - (-26)\/7. Suppose r*y = -s + 12, 4*y + 4*s = s + 20. Find the second derivative of 9*n + 2*n**5 - y*n**5 + 7*n**5 wrt n.\nAnswer: 140*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, r: 1, e: 3, y: 5}. Give prob of picking 1 r and 2 e.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6 - -15) + (-4036)\/(-4)?\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f + 4. Let i be z(4). Let x be (-3)\/(-2)*(-14)\/21*-3. Solve x = -i*w - w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48421 or -48446?\nAnswer: -48446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 18. Let r = -5 + y. Let g(p) = p**2 - 4*p + 2. Let v(q) = -q**2 + 4*q - 3. Let j(a) = -4*g(a) - 3*v(a). Calculate j(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3551*u**3 + 16*u**2 + 3*u. Let v(q) = -3552*q**3 - 15*q**2 - 4*q - 1. Let w(m) = 5*o(m) + 6*v(m). Let p be w(-6). Round p to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -1\/105*r**6 + 0*r**3 - 1\/70*r**5 + 2*r + 0*r**2 + 0 + 0*r**4. Factor z(o).\nAnswer: -2*o**3*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r - 2. Let z be a(6). Suppose -x + 4 - 3 = 4*i, z*x + 11 = -i. Let g(l) = -i - 1 + 4 + l - 3. Calculate g(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -2. Calculate the least common multiple of (2\/4)\/(((-28)\/(-48))\/7) and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 75 + 0 + (-4 - 0). Suppose 4*t + 209 = -v. List the prime factors of 12\/(-4) + t\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 324 and 457848?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -136948*i**2 - 11*i - 168 wrt i.\nAnswer: -273896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*b + 19*b + 0*b.\nAnswer: 38*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 3*b + 9, 0*b = 3*m + 4*b - 1. Suppose 3*f = t - 57, m*t - f = -0*f + 131. Suppose -38 = -4*n + t. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.27525 millennia in years?\nAnswer: 47275.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931)*-2*2 + 6*(0 + sqrt(931)))**2 - ((1 + (sqrt(304) - (1 + sqrt(304)) - sqrt(304)))*6)**2.\nAnswer: -7220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2 + 97*b + 160. Give i(50).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 22. Sort 5, k, -4 in decreasing order.\nAnswer: 5, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide (-2)\/8 - 87576\/(-96)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 12:22 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 840, 6, 2, 4 in decreasing order.\nAnswer: 840, 6, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5033, -19919, -44727, -79457, -124109?\nAnswer: -178683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*x**3 - 81\/5*x**2 + 1887\/5*x - 9583\/5.\nAnswer: (x - 37)**2*(x - 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2862035102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 41 - 25 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (20\/10 - 2) + -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 527\/62*(-516)\/(-102)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3*-246763\nAnswer: 740289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 22 = 4*w - 2*u, -w + 5*u - 17 = 0. Let y = w - 3. Find the third derivative of -11*n**5 + 0*n + 14*n**2 + 0*n + 30*n**y wrt n.\nAnswer: 1140*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-52)\/20)\/1 + (9 - 6). Let n(o) be the first derivative of 0*o**2 - 10*o + 0*o**4 - 37 + 0*o**3 + i*o**5. What is the derivative of n(k) wrt k?\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -8*s + 15. Let b = s - 0. Is 2\/6*b*19 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(-2*sqrt(9)) + -4.\nAnswer: -4 - sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 2*s**5\/5 - s**4\/12 + s**2\/2 - 3*s. Let i be b(1). What is the third derivative of -3*f**2 + 8*f**4 + f**6 - i*f**4 wrt f?\nAnswer: 120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2435847 to two decimal places.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*(-6 + (155\/(-186))\/((-2)\/14)). Let v = -4.93 + -0.07. What is the closest to 0.1 in 2, i, v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1267668398?\nAnswer: 2, 131, 137, 35317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3041, -24270, -81895, -194114, -379125, -655126?\n\"Answer: -3033*h**3 + 2*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -55330 divided by 527?\nAnswer: -55330\/527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*(-2*sqrt(84) + sqrt(84)) - sqrt(84)) + (sqrt(84) + 1*sqrt(84))*3)\/(sqrt(132)\/(sqrt(11) - sqrt(44)) - sqrt(72)\/(sqrt(30)\/sqrt(5))))**2.\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from syyyyysysyysyy. What is prob of picking 2 y and 1 s?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2ba (base 12) to base 9.\nAnswer: -527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/5, -6506, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**2\/5 + 33738*x\/5 + 25813328 = 0 for x.\nAnswer: -11005, -5864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 2) + (13 - 18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -392 - -129277?\nAnswer: 128885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1.1 (b) -1 (c) -2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from sstrsrsttsssir.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -d**7\/7 - 1927*d**5\/5 + d**3\/3 - d**2\/2 - 8*d - 7627. What is the third derivative of h(p) wrt p?\nAnswer: -120*p**3 - 46248*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 1 - 3 + 13299*d - 6575*d as p + y*d and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, g: 3, e: 3, h: 6, n: 3}. What is prob of sequence chgg?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/129441 and -1\/12?\nAnswer: 517764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 0.3 (c) 2\/25 (d) -258.5 (e) -10 (f) -55\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(28) - (sqrt(700) + sqrt(700)*-3 + sqrt(700))) + (sqrt(28) - sqrt(448)*-2))\/((4*2*sqrt(196) + sqrt(196))*4))**2.\nAnswer: 2041\/1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(5\/8)*x\/(x\/x**10) assuming x is positive.\nAnswer: x**(85\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 410 = 4*z + 50. What is the lowest common multiple of z and 21?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/5959624 and -39\/1083568?\nAnswer: 11919248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 484406 and 103168?\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1494 and 1162?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11601, -46463, -104595, -186021, -290765, -418851, -570303, -745145?\n\"Answer: -4*u**3 - 11611*u**2 - u + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1208*k**3 + 1 - 1247*k**3 + 108*k**3 - 109*k**3)*(-5*k + 4*k + 2*k).\nAnswer: -2456*k**4 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3657*w + w**3 - 3640*w - 3656*w - 3684*w + 14619*w.\nAnswer: w**3 - 18*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -3*i - 34, 4*y = 3*i - 5*i - 26. Let v be 80\/(-15)*i\/2. Suppose 0 = 5*n - 105 - 175. Calculate the highest common factor of n and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p + 18. Let n be m(6). Let c be (0 + n\/8)*24\/6. Factor 2 - 4*i**2 - 7 - c - 12*i.\nAnswer: -4*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 33*t + 159. Let x be v(27). Suppose -2*o + 0*l = -2*l + 72, l = 4*o + 156. Let w be (o\/6)\/(2 - 0). Which is bigger: x or w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 5*w**2 + 6*w + 5. Let y be l(6). What is the second derivative of -q**y - 11*q - 14*q + 19*q wrt q?\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.05 (b) 1\/31 (c) 0 (d) -72 (e) -0.04 (f) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(35\/4))\/((36\/(-147))\/6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 at least -39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*r**3 - 58544 + 58544.\nAnswer: 36*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/4 (b) 1 (c) -2\/11 (d) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -200*v - 1. Let r(p) = -201*p - 1. Give -3*r(f) + 2*y(f).\nAnswer: 203*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2 + 1 - 6*r - 2 + 46*r**2 + 4*r - 48*r**2 + 104*r**4 wrt r?\nAnswer: 1248*r**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-2) - (8 - 8). Let o be f\/(1\/((-8)\/3)). Let x(c) = -2*c**3 + 5*c**2. Let l(i) = -6*i**3 + 16*i**2. Suppose 8 = -2*b - 2. Determine b*l(v) + o*x(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -n**8\/112 + n**7\/70 + n**6\/20 + 115*n**2\/2 - 6. Let m(t) be the second derivative of s(t). Determine w, given that m(w) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (0\/(-3 + -1))\/(-2) - -20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2975540852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 25 = -19. Suppose 3*q - 1112 = 2*r, r - 1106 = -n*q - 3*r. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8*(-318)\/(-12) - 0. Let u = c + -140. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 449.7773ml to litres.\nAnswer: 0.4497773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -73849833?\nAnswer: -73849833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dss when three letters picked without replacement from {s: 6, d: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 501950 (base 13) in base 16?\nAnswer: 1c6298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1543\/197 at least -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a hour in seconds?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -45116412 divided by -1254?\nAnswer: 35978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a - 90 = -6*a. Let s(x) = -5*x**2 - 37*x - 19. Let p be s(a). What is the greatest common divisor of p and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 35460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -58*m**3\/3 + 176*m**2\/3 - 178*m\/3 + 20.\nAnswer: -2*(m - 1)**2*(29*m - 30)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.006 (b) -1\/2 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (1 + 2 - (6 + -3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2f2 + -91?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -527, -3, 2 in ascending order.\nAnswer: -527, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -222\/7 - -32. What is the fourth smallest value in -2\/7, p, 2\/3, 1\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*r - 3*r, 2*r = -4*j + 10. Let w(d) be the second derivative of 0*d**2 - 1\/9*d**3 - 1\/6*d**4 - j*d + 0. Solve w(h) = 0 for h.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 1 + 13)*(3 - 7 - 3)*(-4 - u + 4).\nAnswer: 147*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 322770409 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3484408 and 1666456.\nAnswer: 38328488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - f - 1. Let m(d) = -13*d**2 + 5*d + 11. Let n(q) = 4*q**2 - 2*q - 4. Let b(o) = -2*m(o) - 7*n(o). Give b(p) + 4*h(p).\nAnswer: 2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of l*s**3 + 413*l*s**2 + 36999*l + 3*s - 1 wrt s?\nAnswer: 3*l*s**2 + 826*l*s + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**2*b\/b**4*(b*(b\/(b**1*b))\/b)**44 assuming b is positive.\nAnswer: b**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**4 + 11*v**4 + 5*v**4)*(-56*v - 50*v + 28*v).\nAnswer: -1482*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of i**5\/60 - 21*i**3\/2 + 838*i**2 - 2*i. Let k(q) = 3*q**2. Give w(k(h)).\nAnswer: 9*h**4 - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 2\/3, 5, 0.78?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*w - 378 = -34*w. Suppose 0 = -55*o + w*o + 320. Is o a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 12 + 3*o + 2*o - 7*o. Let m be p(5). Suppose 0 = 3*j + 15, 2*j = m*x + 6*j - 92. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 1\/6, -1\/7, 0.5, 2\/17, -15503?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1021 is divided by 114.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -8*b**2 + 53*b - 9. Let j(z) = 5*z**2 - 27*z + 5. Determine -3*f(g) - 5*j(g).\nAnswer: -g**2 - 24*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((25\/(-70))\/((-585)\/273))\/((9\/2)\/(-1))?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -14*m**2 - 86*m - 10. Let k be t(-6). Put 8, -1, k in descending order.\nAnswer: 8, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**4*i + 31*a**4 - 4*a**3*i - 901*a**3 - a**2 + 98*a*i - 3*a + 8576*i wrt a?\nAnswer: 24*a*i + 744*a - 24*i - 5406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 3*g = 71, -52 = -2*f + g + 4*g - 0*g + 43 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 1. Suppose 0 = 5*v - 2*u + 36, -4*v + 0 = -u + 27. Let y(h) = -7*h + 3. Give v*z(n) - y(n).\nAnswer: n - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37995?\nAnswer: 3, 5, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25557 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2025154 divided by 357\nAnswer: -2025154\/357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 2, z: 4, a: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 338\/77 + -18\/7. Calculate the common denominator of 57\/22 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t + 1. Let l(a) = -a - 2*a**3 - 9 + a**3 + a + 9*a**2. Let d be l(9). Is j(d) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3279.878um to kilometers.\nAnswer: 0.000003279878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -206. Suppose -2*j = d - 1. Let a = 140 + j. Is a a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 940, 4722, 11016, 19816, 31116, 44910, 61192?\n\"Answer: -j**3 + 1262*j**2 + 3*j - 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.111006928 to two dps.\nAnswer: 1.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 1:07 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 13*h**2 - h - 4. Let d be n(-13). Suppose d = 2*w + w. What is the nearest to 1\/4 in w, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*p + 24*p - 18*p.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1495095 * 32.\nAnswer: 47843040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuuucuuuuuuuucuu. Give prob of picking 3 u and 1 c.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a decade?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2 = -7. Let a = l + 3. Suppose -2*p - q - q = -10, -8 = -a*q. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 710\/39 - 254\/13. Which is the smallest value? (a) -0.1 (b) t (c) 1\/7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 5 + 3 + -7 - 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -15*d**3 + 8*d**2 - 7*d + 7. Let c(s) = -7*s**3 + 4*s**2 - 3*s + 3. Let k(o) = 7*c(o) - 3*g(o). Factor k(p).\nAnswer: -4*p**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -317\/2, -18\/89, 1\/4, 4\/7, -0.4.\nAnswer: -317\/2, -0.4, -18\/89, 1\/4, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 2*n - 2, f - 2*n = -f + 18. Let l(z) be the first derivative of -6*z**3 - 4 + 14\/5*z**5 + f*z - 5\/2*z**4 + 5*z**2. Let l(p) = 0. Calculate p.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**2 + 124*k - 232 = 0. Calculate k.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5 (b) 9 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times 77?\nAnswer: -2.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.5367ng in milligrams?\nAnswer: 0.0000575367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54 + -57. What is the closest to 2 in d, -12, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i - 5. Let o(z) = -z**3 - 9*z**2 + z + 4. Let u be o(-9). Is 3 a factor of v(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, j: 2}. What is prob of sequence jaa?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1488 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(11) - sqrt(88)\/sqrt(2))*-2 + 3 + sqrt(275)*1))**2.\nAnswer: 1512*sqrt(11) + 19728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1439 + 1435. Sort -272, x, 1 in decreasing order.\nAnswer: 1, x, -272","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 3*r + r)*(5*r - 2*r - r) + 3 + 3*r**2 - 3 + r**2 - 2*r**2 - 2*r**2 - 3*r**2 + 2*r**2 - 13*r**2 + (-6*r + 3*r - r)*(-4*r + 3*r + 2*r).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11408757?\nAnswer: 3, 3802919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124983 is divided by 1922.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*z - 12 = 0. Suppose 4*b - z*b = 5*x - 3, b + x - 9 = 0. Suppose 2*n - b = -0. Calculate the lowest common multiple of n and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 318 + -317.999999976. Round o to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 16*x**2 - 17*x - 2. What is r(-17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j*(j**1*j)\/j))**30\/((j**(-3\/5)*j)\/j*j**0))**(10\/13) assuming j is positive.\nAnswer: j**(-594\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -856924, -856915, -856906?\n\"Answer: 9*a - 856933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 404814 by -2546.\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o = 5*o - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-10)*1\/18*-6?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/(-48))\/((-1)\/(-75)). Let l = d + -23. Suppose -3*x = l*m - 131, -4*x + 154 + 30 = -2*m. Is x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -382, -13, 3381 in descending order.\nAnswer: 3381, -0.1, -13, -382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -152 and 0.033?\nAnswer: -5.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nnnnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1\/3*-1 + (-15510)\/(-198)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 11:47 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.4 and 1218823.\nAnswer: 1706352.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 14 + (2 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.58 and -0.4?\nAnswer: -1.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 11220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 315055 and 116285?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 28, 23, 16, 7, -4?\n\"Answer: -n**2 - 2*n + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, j: 7}. What is prob of picking 1 j and 1 m?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -37088, -73759, -109588, -144149, -177016, -207763?\n\"Answer: 71*i**3 - 5*i**2 - 37153*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 + -27. Suppose 2*s + 3*q - 37 = u*q, s - 2*q = 16. Determine t so that 8 + 0*t**3 - 4 + 21*t**2 + 15*t - s*t**4 - 15*t**3 - 7 = 0.\nAnswer: -1, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 2, 1737, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)*2)**2 + (sqrt(180) - 2*sqrt(180)) + -2 + (sqrt(405) - sqrt(45))**2 + -6*sqrt(360)\/((sqrt(384) + sqrt(24))\/sqrt(3)).\nAnswer: -48*sqrt(5)\/5 + 2598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhh. What is prob of sequence hhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 12:54 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 584*r + 1234 - 2469 + 1240 in the form q*r + i and give q.\nAnswer: 584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 4*n + 14 + 6, 5*l - 2*n = 11. Suppose -2*h + h + 7 = 3*m, l*m + 2*h - 2 = 0. List the prime factors of m\/(-8)*4 + 38.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (132\/16)\/((-5)\/20). Let m = -26 - k. Suppose -c = m*c - 8. Are c and 5\/12 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19073859.\nAnswer: 3, 7, 223, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ncm when three letters picked without replacement from cmmnm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -53d - -4d15e?\nAnswer: 4cc21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + 5 + 2*sqrt(5) - sqrt(5)) + 0 + (sqrt(5) - 2*sqrt(5)*6) + -4.\nAnswer: -9*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 533 - 905. Let i = b + 210. Round i to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**2 - 36*a + 34 = 0.\nAnswer: 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*z, v - 4*v - 2*z = -2. Let x be (-2)\/(-8) + v\/(-8). Let j be 1*2 + (-2)\/(-1). Put j, 2, x in decreasing order.\nAnswer: j, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4 = 5*f. What is the remainder when 7 is divided by (3\/f)\/(1\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 + 44. Suppose 0 = -v + 14 - 2. Calculate the highest common divisor of p and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7585 - 10609 = -108*a for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 18 + 41 + 3*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 8:29 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 91310777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5479, 5385, 5231, 5017, 4743, 4409, 4015?\n\"Answer: -30*h**2 - 4*h + 5513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -572.9406 + -0.0594. Let n = -572.9727 - m. Round n to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*(1*(sqrt(2057) + -1) + -3))**2 + 4.\nAnswer: -88*sqrt(17) + 2076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -67465642, -67465649, -67465662, -67465681, -67465706, -67465737, -67465774?\n\"Answer: -3*y**2 + 2*y - 67465641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134726*u - 134726*u + 65*u**2.\nAnswer: 65*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7904, -7547, -7190, -6833, -6476?\n\"Answer: 357*h - 8261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145469 + 3*g**3 + 136*g**2 - 136*g**2 - 2*g**3.\nAnswer: g**3 + 145469","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -26. Let m(p) be the second derivative of p**4\/12 - p**3\/2 + 5*p**2\/2 + 2*p. Calculate the remainder when o is divided by m(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/10 of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/2 - 2209*m**2 - 2*m + 8836.\nAnswer: (m - 4418)*(m - 2)*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Let c = -4.87 + -0.13. Let p be (1\/2)\/((-16)\/4 - -3). What is the second biggest value in p, c, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 4*t. Sort t, 5, -5 in decreasing order.\nAnswer: 5, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9764274.07902 + -9764030. Let t = -244.1 + i. Round t to 3 dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7823 - 6*o**3 + 7784 - 7*o**2 + 8*o**2 - 4*o**2 as s*o**3 + d*o**2 + j + r*o and give j.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 2 + 2 + (-3 - -9). Suppose -v = v - 3*c + w, -2*v - c = -8. Suppose -2*d - 4 = -4*d, 104 = 2*r - v*d. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-7 + (6 - (-6 + 10)) - -4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 228*y - 221*y - 13069. Is y a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 152357, 152365, 152385, 152423, 152485, 152577, 152705?\nAnswer: 152875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(0*o**2 - 2*o**2 + o**2)*(o + 0*o - 7*o).\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20489\/36 - 2299\/4. What is the common denominator of v and 45\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3680823?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 933*s - 312. What is the tens digit of u(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 52 = 2*h, 2*o = 6*o + 2*h - 226. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*v + 16*v - 15655. What are the prime factors of v?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.81, 1\/3, -3 in ascending order.\nAnswer: -3, -0.81, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 1547*j - 12380. Calculate t(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1247*x - 15376 - 72946 - 11383 = -7427 for x.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 2327082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -y**6\/1260 + y**5\/420 + y**4\/42 + 2*y**3 + 3. Let u(h) be the third derivative of a(h). Factor u(t).\nAnswer: -2*(t - 2)*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5234712 (base 8) in base 12?\nAnswer: -57100a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 13, v: 3}. What is prob of sequence hvhh?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 3. What is the remainder when 15 is divided by n\/12 + 188\/24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44419 and 56815?\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10000010101011110000001 (base 2) to base 12\nAnswer: 1526195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 take away 16.96042?\nAnswer: -16.91042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 6) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.3 + -1.3071. Round s to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyyygyyy?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/7)*z*z)\/z**(-21) assuming z is positive.\nAnswer: z**(169\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 74252733+-3\nAnswer: 74252730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5476 - -0.6496. What is the closest to -1 in 1\/5, x, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/2, -8\/7, -146492.\nAnswer: -146492, -5, -8\/7, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 23 + 2565*o + 4 + 7 to x*o + z and give x.\nAnswer: 2565","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 260 = 10*y. What are the prime factors of y?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12536, 12533, 12530, 12527?\nAnswer: 12524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.544291 (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1463*m - 52*m - 58313 = -15983 for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 103*x**2 - 624*x - 4121. Give c(-97).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -12.4676 and -22.546162.\nAnswer: -35.013762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x**2 - 4. Let l(v) = 309*v. Let q(w) = 64*w. Let c(b) = -5*l(b) + 24*q(b). Give m(c(j)).\nAnswer: -243*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -95.164 to one dp.\nAnswer: -95.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -90 - -91. Let l = -130 - -126. Let h(o) = -o**3 + 5*o**2 + 7*o - 4. Let f be h(6). What is the closest to 1 in y, f, l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -z - 4, 0 = -3*h - 5*z + 26. What is the tens digit of 306\/h - 3\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*r = 25*r - 57005. Is 877 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l. Let i(y) = 7*y + 4. Let a(d) = -36*d - 21. Suppose -5*s - 15 = 5*q - 4*s, 4*s = 4*q + 36. Let n(u) = q*a(u) - 21*i(u). What is n(g(j))?\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 291.7 + 53.3. Let d = g - 341. Which is the biggest value? (a) -2 (b) -14 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -854036*b - 48680048. Determine s(-57).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -233a8a9 + 7?\nAnswer: -233a8a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a minute in seconds?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 35935*t**3 - 6088?\nAnswer: 107805*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 6*g**2 + 2*g - 2. Let z = 24 - 77. Let j = 63 + z. Let a be (j\/15)\/(4\/(-6) - -1). Give o(a).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1799?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 5*b**2 + 41*b - 67. Determine r(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-14) + (-68)\/(-14). Suppose -x*p = -4*j + 15, -2*j + 0*j - 15 = 5*p. Which is smaller: 2\/89 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0873 take away -667.11357?\nAnswer: 667.20087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -u**5\/30 - u**2. Let q be -51*(17 - 4)*-7. Let o(a) = 4641*a - q*a + 5*a**2. What is s(o(f))?\nAnswer: -50*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 7*i - 20. Solve 9*h - i*h + n + 21 = 0, 3*n = 4*h + 1 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10883908853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -0*t + 10. Calculate the least common multiple of t and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -m**7\/21 - 5*m**4\/24 + 3*m**2. Find the second derivative of u(g) wrt g.\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10776.9893 rounded to the nearest integer?\nAnswer: 10777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 9, -164, -607, -1434, -2759, -4696, -7359?\nAnswer: -10862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3660, -4162, -4664?\nAnswer: -5166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -12*z**3 - 11. Let q(a) = -4*a**3 - 4. Suppose 2*h + 75 = 27*h. Suppose 5*o - 14 = -3*r, 4 = h*r + 8*o - 13*o. Calculate r*k(b) - 8*q(b).\nAnswer: -4*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m - 1. Let c be t(-1). Let j(x) = -x**3 + 8*x**2 + x - 3. Let w be j(8). Let d = w - 3. Solve f = -2*z - 11, -c*f - 18 = 5*z - d*z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -36, 8, -14, 1 in descending order.\nAnswer: 8, 3, 1, -14, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17154 is divided by 81.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + z + 8 + 7 = 0, -17 = -5*i - z. Is (-3 - -194 - -4) + i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41043 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - b = 11, -22 = -5*r - 4*b + 2*b. Suppose -3*p = -r*p - 2. Is p at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(152)*-1*1)\/(2*sqrt(968) - (-1*sqrt(88) + sqrt(88))\/sqrt(11)).\nAnswer: 5*sqrt(19)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6*t - 107 - 106 - 8*t**2 + 218. Let f(u) = -9*u**2 - 7*u + 6. Determine -6*f(d) + 7*o(d).\nAnswer: -2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277*x + 100*x + 103*x + 81*x.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.186298 - 60.813747. Let c = 61 + l. What is c rounded to six dps?\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + y**3)*(125 + 201*y**2 - 199*y**2 + 239).\nAnswer: 2*y**5 + 364*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8642, 30692, 67442, 118892, 185042, 265892?\nAnswer: 361442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -1 - (92 - 103 - (6 - 26))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1878, -38, -1954, -3870?\nAnswer: -5786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-145)\/(-40) - (10\/16 + -1). What is the nearest to -2 in 1, h, -13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k - 2*k + 16. Sort k, 0, -4, 4 in increasing order.\nAnswer: -4, 0, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2342 + 2343. Let u = 1.4 + 0.6. What is the second biggest value in -0.4, u, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 34 - 21 - 5*o)*(0*o - 4*o - 2*o)*(-2*o**2 + 0*o + 0*o).\nAnswer: -60*o**4 - 24*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 1352 = -598. Suppose -1524 = -7*y - j. Let g(f) = -3*f. Let a be g(-18). What is the highest common factor of y and a?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.421 times -0.3\nAnswer: 0.7263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -449 in decreasing order.\nAnswer: 2, -2, -449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) -683 (b) -86 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u**2 - 3*u - 1. Let r(t) = -23*t**2 - 11*t - 5. Let x(n) = 22*c(n) - 6*r(n). Differentiate x(i) with respect to i.\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -111, -0.03, -3, -1\/10, 0?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 65.8.\nAnswer: 19.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1130 + 20830?\nAnswer: 18700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*n**2 + 5 + 142*n - 45*n - 96*n + (n + n - 4*n)*(7*n - 9*n + 23*n).\nAnswer: -51*n**2 + n + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*c - 88 + 9 - 515 = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**3 + 12*o**2 + 115*o + 29. Determine q(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3. Let a(r) = 1. Let x(z) = 7*a(z) + 2*f(z). Let w(h) = 2*h. Suppose 13*u + 59 - 72 = 0. Give u*w(v) - 2*x(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 703 = 2*t - 675, -4*t = -2*i + 8 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 - -39593.090819.\nAnswer: 39587.090819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -6*v + 2*v - 12, -d = -2*v - 1. What is the third derivative of -5*i**v + i**2 - 10*i**4 + 0*i**2 wrt i?\nAnswer: -240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-15)\/(-3))\/(-20))\/(10\/(-520))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/4)*r\/(r**(-1\/5)\/r)*r assuming r is positive.\nAnswer: r**(59\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2451031 (base 6) in base 16?\nAnswer: -2003b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 0. Let t be 1*(b - (0 + -1)). Differentiate 3 + 0*q**3 + 3*q**3 + 0*q**3 + 0*q**t wrt q.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 15281, 15305, 15329?\n\"Answer: 24*g + 15257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 45331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-20))\/((-6)\/(-168))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 11:42 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -664 - -685. What is the second derivative of 23*c**5 + 22*c**5 - a*c**2 - 69*c + 16*c**5 - 57*c**5 wrt c?\nAnswer: 80*c**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13575589?\nAnswer: 23, 590243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 + 35. Let k(w) = 2*w - 7. Suppose -5*a + 54 - 9 = -5*z, 2*a - 5*z - 6 = 0. Let f(b) = a - 4*b + b - b. Calculate t*f(s) - 11*k(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1001.81 - -1101.012. Let o = h + -99. What is o rounded to two dps?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 17945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*p + 16, -5*p - m - 2 = 3*m. Let k = 10.8 - 11. Which is the third smallest value? (a) 4 (b) k (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + (-76 - -84 - (25 - 6)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -17*b. Let n(g) = 8*g. What is n(f(r))?\nAnswer: -136*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -1083\/20*m**5 + 12*m**3 - 83*m - 357\/5*m**6 + 6*m**2 - 28*m**7 - 19\/4*m**4 + 0. Find f, given that v(f) = 0.\nAnswer: -1, -1\/2, -2\/7, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6935*m - 3464*m - 2760 - 3469*m in the form g + v*m and give g.\nAnswer: -2760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 - -101. Suppose -7 = -2*j + g. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and -72083463.\nAnswer: -72083461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) -0.94 (c) -4 (d) -2 (e) -12\/67\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 753.7972l?\nAnswer: 753797.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-15)\/(-25) + 0 - 22281\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/204204 and -197\/630.\nAnswer: 3063060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 2702762.6 to the nearest 100000.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, c: 1, i: 5, m: 5, p: 2, z: 6}. Give prob of sequence md.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 37200?\nAnswer: 14880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -5947*p + 41551. Give n(7).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.18 - 160.18. Let z = n - -153. Put -1\/5, z, 0.3, 13 in descending order.\nAnswer: 13, 0.3, -1\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 4 + 4 + 3 + -9 + -67\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*u - 128*u = 4*x + 13, 3*u + 2*x + 11 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -b - 11, f = -3*b + 2*f + 15 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + p - 2 + 1, -p = c - 1. Suppose 0 = -c*w - w + 1. Suppose -4*t = 3*k + w, 2*t = 5*k - t + 21. Put 1, -2, k in decreasing order.\nAnswer: 1, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 952 - 955. Which is the fourth biggest value? (a) -1 (b) 1\/3 (c) 4\/37 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 1259?\nAnswer: 1258.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9 or 490301?\nAnswer: 490301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a*a**(-2\/5))*a**(1\/27)*a*a**(-2\/13)\/(a**18*a) assuming a is positive.\nAnswer: a**(-31093\/1755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 9343972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*h**3 + 34*h**3 - 5*h**3.\nAnswer: 45*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 7\/4 (b) -20 (c) -1\/2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*m**3 + 273*m - 273*m.\nAnswer: -61*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, -23, -4, -2, 5, -5 in descending order.\nAnswer: 38, 5, -2, -4, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 555 in 2\/5, -0.4, -3162, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -10 + (-2 - -4 - -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28579 >= 25836?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + (-265)\/20)*-4. Suppose 18 = a - q. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2254925442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5988633?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u - 7*u + 12 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47201594?\nAnswer: 2, 11, 197, 10891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1696 - -1691. Which is the closest to 1? (a) 0.06 (b) l (c) -0.4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/((n*n**(-4\/3))\/n))*n\/(n**(-6)*n*n*n))**14 assuming n is positive.\nAnswer: n**(112\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/34 and -93\/82.\nAnswer: 1394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/126 + 740\/36.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.222 - -0.328. Let u = 0.64 + -0.7. Let a = j + u. What is a rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7aa26d - -2?\nAnswer: -7aa26b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.292436 and -1023.\nAnswer: 299.162028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 + -37. Suppose 3*h + r*h - 459 = 0. Solve 5*f + 17 = h for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -41, -28 in decreasing order.\nAnswer: -4, -28, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 176*g + 6540. Calculate s(-37).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.474 + 0.474. Which is the biggest value? (a) -2 (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 10*f = -10. Let j(z) = z**2 + 6*z + 1. Determine j(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -29*(-32)\/1856 - (-37)\/(-86). Let n = 30 - 30. Are n and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + l**2 + 2*l)*(7*l + 7*l - 8*l) + l**3 + 2*l**3 - l**3.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 2, -0.3, -841, -4 in increasing order.\nAnswer: -841, -4, -0.3, 1\/8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.051499 to 5 dps.\nAnswer: -0.0515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 3) + -12 - -3 - (11 + 73)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10861 - 10856. Solve 34*v - 2*k - 5 = 35*v, -i*v = 5*k + 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 6*x**2 + 6*x + 5. Let a be w(-5). Let s be ((a - 1) + -4)\/(-1). Suppose 3*c - 45 = -c - 5*r, -s*r - 15 = -2*c. Is c a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1\/3, -1\/5, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -4*d + 1666. Let v = d - -1483. What is v rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 433331525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 22*h**2 + 11*h + 682. Let g(w) = -w**2 - 2*w + 1. Let m(p) = c(p) + 6*g(p). Differentiate m(j) wrt j.\nAnswer: 32*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 169.5 and 4.\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 2 + 4 - 1 - -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 10*a**2 - 11*a - 13. Let m be c(-9). Suppose 3*f - m*n = -600015, f - 114956 = n - 314959. What is f rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 89.487 times -3\nAnswer: -268.461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -221.205 + 221. Let n = 0.20687 + w. Round n to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33346932298 plus 4.5?\nAnswer: 33346932302.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 2 + 2\/(-3). Let q(r) = 2*r - 6. Let z be q(5). Let u be 6\/z*(-6)\/36. Which is the closest to u? (a) 2\/9 (b) 0.4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*f**2 + f**2 - 3*f**2)*(-4*f + 5*f - 2*f) + f**2 - f**2 + f**3 + (0*f - 2*f + 0*f)*(0*f + 0*f - 2*f**2) + 0*f**3 + 0*f**3 + 2*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3792775103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1447*m**2 - 2461*m**4 + 69842 - 69843 + 479*m**2 wrt m?\nAnswer: -59064*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 8*u + 4. Let z be t(-6). Let k be 24*(z\/(-6))\/(-4). Suppose -4*i + k = -0*i. Solve -i*v + 13 = -7 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -83?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -142*q + 215*q - 67*q - 30 + 19. Let t(n) = 3*n - 5. Suppose 2*a + 2*c = 4*c - 22, 5*c + 26 = -4*a. Give a*t(o) + 4*s(o).\nAnswer: -3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -6*b**3 - 26*b**2 + 26*b + 23. Let j(o) = 2*o**3 + 9*o**2 - 9*o - 8. Calculate 6*c(p) + 17*j(p).\nAnswer: -2*p**3 - 3*p**2 + 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/9 and -32\/321?\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4940*d**2*s**2 + 19773*d**2 - 2*d - 9*s**4 + 5 wrt s.\nAnswer: 9880*d**2*s - 36*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of h**6\/15 - 3*h**5\/20 + h**3\/6 + 16*h + 4. Let d(m) be the first derivative of p(m). Factor d(k).\nAnswer: k*(k - 1)**2*(2*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406.874 meters in nanometers?\nAnswer: 406874000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*s**4*w - 5*s**2*w + 22*w + 3 wrt s.\nAnswer: 40*s**3*w - 10*s*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -21*r - 11. Let l(z) = -4*z - 2. Let v(q) = 2*i(q) - 11*l(q). Let m(o) be the first derivative of 0*o**2 - 1 + 2\/3*o**3 + 0*o. What is m(v(d))?\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3 = 5, 16 = -2*h - 5*y. Suppose 0 = t + t - h*p - 410, t - 185 = 5*p. Calculate the highest common divisor of t and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(17) - sqrt(17)*-3) - sqrt(17))*-1.\nAnswer: -23*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71356803 is divided by 1822?\nAnswer: 1817","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7389, 8344, 9929, 12144, 14989?\n\"Answer: 315*z**2 + 10*z + 7064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**2 + 61*y - 937. Let b(o) = -o - 18. Let w(h) = 2*b(h) + l(h). What is the derivative of w(k) wrt k?\nAnswer: 6*k + 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-32))\/b*b**(-2\/21) assuming b is positive.\nAnswer: b**(670\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22\/143 + (-26076)\/(-13). Suppose 1698 = 4*t - h. What is the hundreds digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4 = 12. Let p(t) = -t**2 + 9*t - 22. Let s be p(10). Let w = s - -36. Solve 2*h + 22 = -w*x, u*h - 3*x + 6 = h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -57, -3.\nAnswer: -57, -3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/16)\/(3870\/72 - 54) + 231\/12.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -125372.77 to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 142 - 142. Solve k = 5*x - 10, -3*c + 5 = -x + 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -12*i**3 - 4*i**2 + i + 3. Calculate b(2).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*t - 78*t - 684 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65 + -59. Calculate the highest common factor of 30 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17\/6 + 7\/2. Let w = 190 + -1328\/7. Let x = -2 - -2.1. Which is the closest to w? (a) x (b) r (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0124 + 18.6124. Let h = -19 + r. Let l = 46 - 48.1. Put l, 0.4, h in descending order.\nAnswer: 0.4, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (30036 - (24 + -14))\/(2\/23) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2317301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + (11 - -2 - 5). Solve 0 = 2*u + w + 12, w + d = 2*u - 4*w for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148691814 is divided by 3310?\nAnswer: 3304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (-2 + (14 - 11))) + (10 - 0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/3 + 2\/(-3). Suppose l = 3*n - 39 - 9. Suppose -4*c + n = 0, 4*c + 4 = 5*f - 5. What is the least common multiple of 3 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -150*j**3 - 8270*j**2 - 202982*j\/3 + 1388166.\nAnswer: -2*(j - 9)*(15*j + 481)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -262 times -9?\nAnswer: 2358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35243\/8 + -4405. Let p(b) be the third derivative of 0*b**3 + y*b**4 + 0*b + 0 - 29*b**2. Let x(d) = 2*d. Determine p(x(a)).\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 13*t**2 + 11*t + 13. Let o be g(12). Suppose 473*d = 482*d + 243. Put -3\/7, 2\/3, d, o in decreasing order.\nAnswer: o, 2\/3, -3\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4410 = l + 4406 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 72, 1, 30, -202 in ascending order.\nAnswer: -202, 1, 4, 30, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 1. Sort 0.3, -41, a in increasing order.\nAnswer: -41, a, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5851?\nAnswer: 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/711801 and -16\/27?\nAnswer: 711801","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/271601 and 3\/98764?\nAnswer: 1086404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -30*y**2 - 10*y. Let k(u) = 10*u**2 + 3*u. Determine 10*k(g) + 3*t(g).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z + 694 - 694 in the form w + a*z and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/2*10)\/(-1). Suppose 4 + 6 = u*o. Solve o*i + 20 = -3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.4736 + 1.8736. What is the nearest to 8 in -5, -1\/6, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260*i**3 - 20909 - 11*i**2 + 11*i**2 + 20909 - 2*i.\nAnswer: -260*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/3, 82\/7, -5, -2\/3, -0.4, 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 756998417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6519\/(-1113) + 0 + 2 + 3\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 1. Let k be c(-1). Suppose 2*y + 2*o = 88, -k*y - 92 = -4*y - o. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2 = 2*l, 5*l - 19 = -b + 3. Suppose -49 = -l*h + 39. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 6) in base 2?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -0.2, 1, -4 in increasing order.\nAnswer: -4, -0.2, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {h: 4, p: 10}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 1665 + 601 = -2*a, 1615 = 3*a - 5*p. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14219503.\nAnswer: 14219503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -5. Let p = -9 + 13. Let j = p + -3. Is l bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 + 20970\/270 + (-26)\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 8*s - 10. Let a be (40\/(-16)*s)\/(1\/(-4)). Is 7 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 7*n - 12. Suppose -n*h + 17*h = 0. Solve h*f = -4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1424, 1552, 1772, 2090, 2512, 3044, 3692?\nAnswer: 4462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 2*t + 16. Let k(i) = i**3 - 2*i**2 - 6*i + 2. Calculate the least common multiple of k(t) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -1. Let r = -4.1 + m. Which is the third smallest value? (a) -5 (b) r (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ab when two letters picked without replacement from cbbgbgbazaa?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2234*p. Let b(f) = -3*f. Give b(o(w)).\nAnswer: 6702*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 364351?\nAnswer: -364354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1377 - -2347. What is b rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s + 24. Let f be (-1)\/4 + (-4)\/(-16). Let q be h(f). What are the prime factors of (10\/(-4))\/((-4)\/q)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 1\/64*l**4 - 3\/896*l**8 + 0*l**5 + 0*l - 18*l**2 - 3\/160*l**6 + 1\/70*l**7 + 0 + 0*l**3. What is n in b(n) = 0?\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -533.9 plus 1520?\nAnswer: 986.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -112 (b) -1\/4 (c) 4 (d) -2 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 - 267*x + 11970.\nAnswer: (x - 210)*(x - 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 16671592.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-6)\/y)**17)**(2\/9))**(9\/8) assuming y is positive.\nAnswer: y**(-51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-63))\/((-92)\/644).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230*l**3 - 71*l**3 + 94*l**3 + 241*l**3.\nAnswer: 494*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*b + 3. Let c be (-3)\/6*6\/b. Suppose c*k - 35 = -4*z, -6*k + 2*k = z - 25. Solve -z*v = -0*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 317 - 922 = -5*h. Suppose 5*y = -j + 243, 37 - h = -2*y + 4*j. What is the greatest common factor of 12 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s - 4. Let q(a) = -a. Determine -l(p) + q(p).\nAnswer: p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1700839?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 7*g - 6. Let q = 17 + -11. Suppose 3*d + d - u = 18, u = -2*d + q. What is o(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001193565783 rounded to seven decimal places?\nAnswer: 0.0011936","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 954 in 2\/29, 6.7, 0.4, 0.2, 5?\nAnswer: 6.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 230471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1088) - 3*sqrt(1088)*4))**2 + (sqrt(1700) + -3 + 1)*1.\nAnswer: 10*sqrt(17) + 1184830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*((t**(-2\/47)*t)\/t)\/t)\/t)\/(t\/t**(-14)))\/((t**3*t)\/t**(-13)) assuming t is positive.\nAnswer: t**(-1553\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 6. Let g = j + 3.1. Let x = 0 - -1\/2. Which is smaller: x or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -44, 4, 3013?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1267*a**2*m**3 - 11875*a**2*m + 2*a*m**6 + m**4 + 3*m**2 wrt m.\nAnswer: 7602*a**2 + 240*a*m**3 + 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llpoolllolo. Give prob of sequence pl.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q*q**(-8\/3))))\/q*q**(-3\/14))**21 assuming q is positive.\nAnswer: q**(-121\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*j - 34. Suppose -r + 16 = 3*y, 2*y = r + r + j. What is the remainder when 15 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 8803*w - 61581. Calculate q(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1463906 - 34485.\nAnswer: -34485.1463906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54331168*a - 26*a**2 + 54331168*a.\nAnswer: -26*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1468697*c**3 + 195190*c - 4?\nAnswer: -8812182*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 9*t**2. Let a(j) = 9918375*j. Give a(c(w)).\nAnswer: 89265375*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 25?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**2 + 2*v**2 + 0*v**2)*(v**2 - 2*v**2 - v**2)*(-10 + 10 - 10*v).\nAnswer: -40*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.04 (b) 0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 46 = 3*l, -l + 1913 = -5*h + 1875 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444958 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.5 (b) 2 (c) 0.033 (d) -5 (e) 5045\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a minute in milliseconds?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 46*z + 493. Calculate r(-18).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 0*r = -15. Let u(y) be the third derivative of y**5\/20 - 5*y**4\/24 - y**3\/2 + 15*y**2. What is the remainder when u(r) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2452969079?\nAnswer: 11, 222997189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 2 - 1) + 1. Suppose 5*a = -3*t + 27, -a - q + 1 = -t. Let u = 6 + a. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - z. Let v = -10 - -15. Let y(o) be the first derivative of -7*o**3\/3 - 3*o**2\/2 + 2*o + 3. Suppose 43*j - 1 = 44*j. Determine j*y(u) + v*i(u).\nAnswer: 2*u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 31?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4298 by -1537.\nAnswer: -4298\/1537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 50 (b) 2 (c) 0.2 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 1179*g**2 - 29478*g + 94. Determine c(25).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 11:59 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 2:11 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103 + 1210*u - 1209*u + 154.\nAnswer: u + 257","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - h - 32. Let i = 23 - h. Suppose r - 4*r + i = 0. What is the remainder when r is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 7, -2, 5, 8.\nAnswer: -4, -2, -1, 5, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - t. Let u be k(0). Suppose 5*x + 6 + 9 = u, -9 = -3*f - 2*x. What is the lowest common multiple of f and 12\/(-1)*1\/(-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 556890562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*4*(5 + (sqrt(130)\/((sqrt(75)\/sqrt(3))\/sqrt(5)))\/(5*sqrt(8)\/sqrt(4)*-1)).\nAnswer: -4*sqrt(13) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5 + 3*d - 5*d + 3*d. Let g = -66 + 70. What is s(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.12 + -0.12. Suppose 0*d = -3*x + 5*d + 25, -3*x + 3*d = -21. Let y be (-1 - -5)*(-1)\/(-18). Sort y, k, x in decreasing order.\nAnswer: x, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m - 3 = 7*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22547735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 144250.47605 and -0.073.\nAnswer: 144250.40305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 7*s + 5. Let f be q(-5). Let a = f + 11. Let r = a - 6. Solve -2*u + r*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/180)\/(6 - (-19)\/(95\/(-26)))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -94*(-3)\/(-12)*-2. Suppose -g = -4*z + 13. What is the greatest common factor of z and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - k. Let o(b) = 4 + 4*b**2 - 2*b**2 - 10578*b - 3 + 10577*b + 4*b**2. Calculate 5*n(h) + o(h).\nAnswer: h**2 - 6*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23\/4, 2\/13, 3, 3\/337, 3\/2, 4.\nAnswer: -23\/4, 3\/337, 2\/13, 3\/2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.29 > -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.04 not equal to -3\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 7*w + 40. Let j be g(-9). Suppose 5*h = 4*s + 37, 5*h + 6 - j = -3*s. Let q(r) = -r - 1. Let n(f) = 2*f + 1. Calculate h*n(p) + 8*q(p).\nAnswer: 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 not equal to 104\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y + 16. What is n(7)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2369\/3 + -808. Let z = 8722\/1209 - 70\/93. Let j = z - 1015\/143. Calculate the common denominator of j and k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.062215t in milligrams?\nAnswer: 8062215000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -137 - -140. Suppose -5*x + 24 = -x. Let j = x - g. Which is the closest to -1\/4? (a) -2 (b) -1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-16)*t*t**(-13))\/(t*t**(-5\/7)*t\/(t**9*t)))**(-2\/85) assuming t is positive.\nAnswer: t**(-192\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10 - 2)\/(-2 + 3). Let i = k - -198. Suppose 3*t - i = -4*r, -r = -0*r + 4*t - 40. Calculate the greatest common factor of 8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 11. Let l be g(12). Calculate the highest common divisor of 23 and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -300 + 192. What is the common denominator of ((-1)\/(-1))\/(j\/678) and 401\/(-168) + (-16)\/28?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1293 - 1251. Calculate the greatest common factor of v and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -3.7. Let l = -0.000034 - 15.999966. What is the biggest value in -5, l, -5\/4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 195*a**3 + 320*a**2 - 180*a - 80.\nAnswer: 5*(a + 2)*(3*a - 2)*(13*a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/68210 and 103\/641174?\nAnswer: 3205870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from {z: 3, d: 9}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -84592, -169761, -254930?\n\"Answer: -85169*k + 577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 1:54 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*q**4 - 28*q**4 + 12*q**3 + 3*q**3 + 64*q**4 = 0. Calculate q.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.3 - 2.3. Let q = 4\/575 + -2\/23. Which is the biggest value? (a) w (b) q (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 46\/1 + -16 + 11. Suppose -m + 83 = 6*g. Solve g*o - 10*o - 6 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4075809 by 36719.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42.869 + 0.269. Let i = 37 + z. Let g = 4.28 + i. Round g to one dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 2:30 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.37 + -0.47. Let d = 1.5 + -2.3. What is the third smallest value in v, -1\/2, d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s - 114. Calculate z(24).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*n - 43*n = 9*r - 141, -34 = 5*n + 246 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(1*sqrt(3)*-4))**2.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -86 - 2?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*u + 3*u - 2*u**4 + 7 - 9 - 92*u**3 + 3*u to x*u**4 + l*u**2 + t + f*u + c*u**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - t + 3 = 0, -p - 9 = -0*p - 4*t. Let l = -1\/6 + 5\/138. Which is bigger: l or p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1100) + (sqrt(539) - (sqrt(539) + sqrt(539)*2))*-5)*-5)**2.\nAnswer: 2227500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2021 + 15. Let y = 3199 - o. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-2))\/((-35)\/14)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10220 + -10?\nAnswer: 10210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14905 and 513545.\nAnswer: 1355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 4)*(4*p**2 + 21*p**3 - 15*p**3 - 8*p**3)*(-3*p + 5*p + 0*p).\nAnswer: 12*p**4 - 24*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/377498 and 119\/30?\nAnswer: 5662470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t**2 + t - 1. Let y = -8 + 5. Let n be ((-5 - y) + 1)\/(-1). Let c be v(n). Solve 3*l - 6*l = 5*f - 5, 1 = -c*l + f for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -150462 + -344?\nAnswer: -151136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3879?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5*t**3 - 6. Let l(u) = 0*u**3 + 3*u**3 - 5 - 7*u**3. Calculate 5*f(c) - 6*l(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*w = -4*o + 189*w + 47792, 2*o + w - 23893 = 0. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -11 + 6 + -2 + (-4 - -17)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 5:49 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 + -28. Let p = 5 - f. Which is the nearest to -2? (a) 0.5 (b) 2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*u + 155 - 6, 2*u = 3*l + 82. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113 (base 4) to base 12\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-2) + (-22)\/4. Let z be (-12 - 0)\/q + 8. Suppose 0 = -o + z + 24. List the prime factors of o.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 51*c + 107. Let y be l(49). Solve 3*a - 4*w = -w + y, -5*a + 8 = 2*w for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1956*t**2 - 1790*t**2 + t + 24 + 3723*t**2 + 2*t + 2*t**2 - 2*t + (-t + 4*t - 4*t)*(3*t - 7*t + 3*t) - 2*t**2 + 1 - 1 to c + f*t**2 + n*t and give f.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*c = 88*c + 2870. Suppose -7*f + c = -406. Is 21 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4890 or 4672?\nAnswer: 4890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-3)*(5 - 2). Let v be 0\/(6 - (10 - 3)). Solve 2*n + 2 = -v, 0 = y + h*n + 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 11:16 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/35)*u**25*u*u**(-27)*u\/(u\/u**(3\/23))*u assuming u is positive.\nAnswer: u**(151\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 823*d**2*l**3 + 8*d**2*l**2 - 5*d - 2*l**2 wrt l?\nAnswer: 4938*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 198 and 125510?\nAnswer: 1129590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 x when four letters picked without replacement from nncncvncxncvvnc?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 1:05 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 11:11 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -12, -4*k - 2*z - z = 1. Let c(y) = 875*y + 0*y**2 + y**3 - 3*y**2 - 871*y. Let h be c(k). Solve 2*d + 10 = 0, 0*j + 30 = 5*j - h*d for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3 = -5*d. Suppose 10*c = 28558 - 7118. Suppose d*a + 545 = c. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65948 is divided by 185?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/270*-4*(-828)\/(-8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (97*v - 19*v**3 + 109*v - 222*v)*((3 - 3 - 4)*(2*v + 2 + 2 - 6) - 2*v + 0 + 0) to f*v**4 + n + g*v**3 + o*v**2 + q*v and give f.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 2\/5 (c) -4 (d) -1\/5 (e) 98\/15 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-107*z + 55*z + 54*z)*(30*z**2 + 52*z**2 - 105*z**2 + 2) to r + j*z**2 + c*z + h*z**3 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a - 9. Let d be t(5). Suppose 29 = -4*x + d*x - q, 5*q + 49 = 2*x. Let o be (-2 + -4)*170\/(-17). What is the highest common factor of o and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a minute in seconds?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58858014 divided by -110221.\nAnswer: -534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-3) + 18\/1. Let t = v - -21. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 48 = -t - 78 - 3, 0 = -449*c - 4*t - 2706 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 485, 1984, 4489, 8000, 12517?\n\"Answer: 503*b**2 - 10*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + f - 7. Suppose -2*g - 13*g = 60. Let r be 0\/(2\/(g - -3)). Calculate j(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21b8 (base 15) to base 4\nAnswer: 1233230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 385, 695, 967, 1195, 1373?\nAnswer: 1495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 23 - 6 + 5*h**3.\nAnswer: 5*h**3 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 5, 300?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d - 2. Suppose -2*l + 5*h = 0, 2*l + 3*l = 4*h. Let m be r(l). Let w = m + 8. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1061 + 29634. List the prime factors of j.\nAnswer: 5, 7, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1145*j + 2314*j + 1843*j to v*j + u and give v.\nAnswer: 3012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -42*w**4 + 35*w**3 + 45*w**2 - 21*w + 4. Let m(b) = -2 + 45*b**2 - 7*b**3 + 6 + 41*b**3 - 22*b - 43*b**4. Let i(n) = 7*m(n) - 6*u(n). Factor i(t).\nAnswer: -(t - 1)*(t + 1)*(7*t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2\/5 (b) -6 (c) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -120706 (base 10) in base 7?\nAnswer: -1011625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 215669495?\nAnswer: 215669491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 16) to base 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29762?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uin when three letters picked without replacement from ununi.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/12*(6498\/27)\/(-19).\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**4 - 856*z**3 - 11422*z**2 - 19404*z = 0. Calculate z.\nAnswer: -11, -2, 0, 441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 17\/2 of a microsecond?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 7)*(10\/(-175))\/(-1). Suppose 4*o + o = 15. Suppose -o = -3*g, 0*d - 3*g = -d - 1. Which is the closest to r? (a) -3 (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3648\/36)\/(-8) + 20. Determine l, given that -22\/3*l**4 - 4\/3*l**5 + 8\/3 - w*l**2 - 40\/3*l**3 + 8\/3*l = 0.\nAnswer: -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 5*b**2 + 3*b - 5. Suppose -3*x = -2*x - 3. Let u(m) = m + x*m**2 - 2 + m**2 - 2*m**2. Suppose 4*a + 0*a = 20. Give a*u(g) - 2*w(g).\nAnswer: 2*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 54 and -10150574255929?\nAnswer: 10150574255983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -128.4?\nAnswer: 38.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -263396*(6083\/(-49) + 17). Round g to the nearest one million.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 * 1677\nAnswer: 50310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -3 + 75. Suppose 0 = 21*a - 15*a - d. Suppose s = k - a*s - 46, 5*k + 5*s = 205. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 1586*y**2 + 6*y - 1. Let j be x(1). Suppose 4*t + 203 = j. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 4100\/120 + -17.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65745351*g**6 - 597*g**2 - 342528*g wrt g.\nAnswer: 7889442120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*y + 37. Does 18 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 112269682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/970 and -1\/1055457.\nAnswer: 10554570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/5)*((f\/(f**(-14)\/f))\/f)\/f assuming f is positive.\nAnswer: f**(69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/((2 - 3)*-1). Let f be (-4 - -2) + 2 + -2 + -2. Sort f, -1, q in decreasing order.\nAnswer: q, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14473*i**2 + 10*i - 7*i - 3*i.\nAnswer: -14473*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -111\/9670922?\nAnswer: -111\/9670922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -g**4\/2 - 4*g**3\/3 - 5*g**2\/2 - 11*g + 6. What is the least common multiple of z(-3) and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 3 - 3 - 50*i - 14*i as n + s*i and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -141.67 - -141. Let d = 5242 - 5242.6633. Let v = d - a. What is v rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of p**7\/42 + 29*p**6\/24 + 56*p**5\/3 + 245*p**4\/6 - 34*p**2 + 2. Factor t(m).\nAnswer: 5*m*(m + 1)*(m + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1520?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -318720 divided by 384?\nAnswer: -830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*n**3*p + 6*n**3*q - 36*n + 9*p*q**3 - q**3 wrt q.\nAnswer: 6*n**3 + 27*p*q**2 - 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34750 <= 34750?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 477 is divided by 466.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 10 - -5) + -36 - -61.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 617440*r**4 + 4*r**3 - 4504956*r**2 wrt r?\nAnswer: 14818560*r + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 274 and 312 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 33*d**2 + 330*d - 2. What is b(-8)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 10406 = l - 68836, 0 = -4*s - 20. List the prime factors of l.\nAnswer: 2, 5, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -1504*c**2 + 7517*c + 15. What is r(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*i + 21*i - 13*i.\nAnswer: -17*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -2, 3, -1, -6 in decreasing order.\nAnswer: 21, 3, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d**9\/10080 + 3*d**8\/2240 - d**4\/3 + 3*d**2\/2 - 3*d - 9. Let s(o) be the third derivative of r(o). Factor s(v).\nAnswer: -3*v**3*(v - 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-978)\/(-5379) + (-388)\/44*-1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 10, 0*o + o + 21 = 5*r. Suppose 0 = -12*x + 14*x - 12. Let q be (-1)\/(1\/1)*-2. Solve -x - q = o*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 551759?\nAnswer: -1\/42443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 6*z - 2. Suppose 576 = 42*b - 33*b. What is the lowest common multiple of v(7) and b?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x**2 + 7*x**2 - 5*x**2)*(-6*x - 13*x - 3*x).\nAnswer: -154*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1393335248?\nAnswer: 2, 87083453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10645 + 10639 - (1 + 0)\/(4\/(-436)).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2162 + -1058. Calculate the common denominator of 61\/9 and (-406)\/t + (-18)\/144.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -834.3 - 47.7. Let f = 882.0471 + c. What is f rounded to three decimal places?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25492891?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(1800\/4560*(-6)\/(-10))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1232*s**4 + 998*s**3 - 2393706*s**2?\nAnswer: -29568*s + 5988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-111)\/(-30) - (6\/(-40))\/((-3)\/(-6))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 8 = 4*s, -3 = -s - 0. Suppose 96 = -a + c*a. Solve -3*v - a = -9 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by 6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 246771280*r**3 - 60547158*r**2 wrt r?\nAnswer: 1480627680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 2. Let l(y) = 8*y**2 - 5*y. Let z be 33\/(-7) + 2\/(-7). Let q(t) = 9*t**2 - 6*t + 1. Let x(m) = z*q(m) + 6*l(m). Determine 5*w(u) + 2*x(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -35137*s + 60405.\nAnswer: -35137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1308323 is divided by 984?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2*z = -30, -3*q + z - 5 = -20. Calculate the greatest common factor of q and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -30875.\nAnswer: 3\/30875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 0.6, 1\/9, 2\/5 in descending order.\nAnswer: 0.6, 2\/5, 1\/9, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 1 + 9 - 4 + 286*p to the form u*p + t and give u.\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -74*q - 976. What is x(-13)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1.4, 2\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one sixteenth of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 35 = -3*r, 5*d + 3*r = 93 + 46. Let w(z) = -d*z**2 + 22*z**2 - 28*z + 3*z**2 + 7. What is the hundreds digit of w(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 704123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**2\/11 - 8716*l\/11 - 9496082\/11 = 0. What is l?\nAnswer: -2179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -159 - -313. Suppose -5*c - g + x = -3*c, -2*g = -2*c + 166. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 4*o**2 + 4*o + 4. What is the smallest common multiple of 8 and k(4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 17, 12382\/81, -0.4 in increasing order.\nAnswer: -5, -0.4, 17, 12382\/81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvkkvkvvkkvkkvkkkkv. Give prob of picking 3 v and 1 k.\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -87*p**3 + 25*p + 47*p**3 + 23*p**3 wrt p.\nAnswer: -102*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -78704.\nAnswer: 7\/78704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -158, 0, -11, 4.\nAnswer: -158, -11, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 5*c**2 + 3*c. Let q be m(-4). Suppose 5 = 3*l - q. Suppose l*b = -b + 64. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -1\/240*o**5 + 1\/6*o**3 - 21*o**2 + 0*o + 1\/32*o**4 + 0. Factor b(w).\nAnswer: -(w - 4)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 100 - 8. Suppose -r - z = -5*r - g, -2*r - 3*g = -36. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -169 (b) 1\/6 (c) -5 (d) -220\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zgxz when four letters picked without replacement from {z: 5, x: 4, g: 1}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -50448 + 1857?\nAnswer: -496a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3128 + -3065. What is the highest common factor of 6111 and a?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 3*y**2 + 5*y - 1. Let v be p(4). Suppose -v*c = -36 - 18. Let d = -17 + c. Is 4\/3 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/17 - 192*v**2\/17 - 18432*v\/17 - 327680\/17.\nAnswer: 2*(v - 160)*(v + 32)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3*z - 0*s + 1014, -2*s = 4. Suppose -2*q + 793 = -717. Suppose -3*x = 5*v - q, -3*v - 4*x + z = -124. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110 and 312950?\nAnswer: 312950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -16. Suppose -s*p = -0*p - 385. List the prime factors of p.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 32 = -7*a. Let r(w) = -5*w - 2. Let c(o) = 1. Give a*c(g) + r(g).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**9)**(2\/79)\/((k*k\/(k**(6\/7)\/k*k*k))\/k**(3\/11)) assuming k is positive.\nAnswer: k**(-442\/6083)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 17*t**2 + 3*t + 13. What is d(-17)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*m - 28 = d, -16 = -4*d - m. Let f = -200 + 204. Suppose d*u - 2*u = -6, -i + f*u = -8. Solve i = 3*a + 15, g - 8 = a - 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(2\/(-1))*(-131)\/(1048\/(-168))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b. Let x(d) = d**2 + d - 4. Let l be x(5). Let n(k) = -26 + l - 2*k + 17*k. Determine u(n(g)).\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(3402)*1 - sqrt(3402))\/(1*sqrt(24)))**2 + ((-3 + sqrt(7))*-5 - -3*(3 + sqrt(7))).\nAnswer: -2*sqrt(7) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 2:42 AM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -281 at least -281?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-6))\/((-48)\/(-27) + -2). Suppose -4*y - 5*k = 9, -j*k = 1 + 14. Suppose 3*l = -y*q + 555, q - 561 = -3*l - q. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -218 + 50?\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 1\/3576 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 18*w**2 - 18*w + 6. What is s(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 5\/2*m**4 + 1\/4*m**5 + 0 + 81*m + 0*m**2 + 25\/6*m**3. Factor f(s).\nAnswer: 5*s*(s + 1)*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.062 - 29808\nAnswer: -29808.062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/135)\/(-8*(-6)\/80)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-363 + 137 - 73)*(-2*k + 2*k + k).\nAnswer: -299*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 9*o - 22. Let x be q(7). Sort 2, x, 0.4 in increasing order.\nAnswer: x, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 10, 7, 4, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-12)\/8)\/(5\/(-20)) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 6*j**2 + j - 25. Let f be d(5). Solve -5*b = -o + 6, 2*b - 18 = b + f*o for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4201506\/5 or 840300?\nAnswer: 840300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 11*a**2 - 6*a - 14. Let i be m(10). What is the highest common factor of 130 and i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, h: 3}. Give prob of picking 2 h and 1 a.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83424, -83415, -83390, -83349, -83292, -83219?\nAnswer: -83130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 9 = -3*a. Suppose 3*g = -a*m + 6, -g = 4*m - 1 + 5. Suppose l + 2*y - 5 = -7, -g*l + y = -37. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 11:08 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -74456 in -4, -3, -2\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66 - -70. Suppose 0 = -m*h - 4*c - 1119 + 12183, 13840 = 5*h - 5*c. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1419722cm in meters?\nAnswer: 0.001419722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**3 + 3235*x**2 - 385366*x - 388600 = 0.\nAnswer: -3350, -1, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11490 and 80430.\nAnswer: 80430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 938.7819 nanometers to meters.\nAnswer: 0.0000009387819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -348794 (base 14) in base 4?\nAnswer: -12311021332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 10:44 PM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4*a**2. Let i(s) = 229*s**2. What is i(j(n))?\nAnswer: 3664*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x**(-2\/9)\/x*x*x)\/(((((x*x\/x**(-7\/5))\/x)\/x)\/x)\/x*x*x))**34)**(-40) assuming x is positive.\nAnswer: x**(-16864\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 - 2446*n**2 + 749086*n - 746642.\nAnswer: 2*(n - 611)**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -9*s + 7*s**2 - 3*s**3 - 61 + 51 + 4*s**3. Determine a(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-0.5837\nAnswer: 0.29185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 121522769?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a week in seconds?\nAnswer: 72576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54 - 54 - 490)*(-2*a**2 - 2*a + 4*a + 0*a**2).\nAnswer: 980*a**2 - 980*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 4 + 1)*(-3 + 1 + 0) + 3 - 1 - 4)*(-178*k**4 + 488*k**4 + 591*k**4).\nAnswer: -7208*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 47 + -42 + (-1 - (3 + 43 - 4) - -7)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2516 + -2514. Solve 0 = 2*y - o*q + 6, -7*y + 3*y + 3*q = 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64*a - 64*a + 21*a**2)*(-2 - 1 + 1).\nAnswer: -42*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 2:53 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 252267869?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 949 (base 15) to base 6.\nAnswer: 13410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 greater than 2327?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 5:00 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-7) - 18\/(-21). Suppose -3*p - 6 = 0, 4*v - 4*p + 0 = 28. Suppose -2\/7*a + 2\/7*a**4 + i*a**3 + 2\/7 - 4\/7*a**2 - 2\/7*a**v = 0. Calculate a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-6))\/(1\/2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvt when four letters picked without replacement from tvvttvivitviiii.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3956*y - 123. Let q be c(5). Let a(d) = 65*d**2 + 19657*d - q*d. Let h(f) = f**2. Calculate h(a(x)).\nAnswer: 4225*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 136\/(-13668)*(-7)\/((-84)\/(-9))*4?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3569354 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(684) + (4*sqrt(684)*-3)**2 - (sqrt(684) + 2 + -1) - (4 + (sqrt(684)*3)**2 + ((sqrt(684) + 2)*1)**2).\nAnswer: -24*sqrt(19) + 91647","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 3*h**2\/2 + 13*h + 31. What is the lowest common multiple of 14 and p(-3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 6 = -3*d. Suppose 0 = t - 2*m - 6, 3*t + m - 9 = 2*t. Calculate the highest common divisor of t and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1184347800 rounded to the nearest one hundred thousand?\nAnswer: 1184300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 12.7 times -18\nAnswer: -228.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y + 42. Calculate d(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -m**5 + 6*m + 4. Find the first derivative of i(s) wrt s.\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -35a13 - -69?\nAnswer: -35955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -87, -115, -159, -219, -295, -387, -495?\n\"Answer: -8*s**2 - 4*s - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/1874472 and 53\/36.\nAnswer: 5623416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4*sqrt(17))**2*5.\nAnswer: 1359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 3*i + 3*i)*(-3*i**4 + 3*i**4 - 2*i**4) - 209 + 99 + 2*i**5 - 2*i**2 + 90.\nAnswer: -2*i**5 - 2*i**2 - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 284 - 284. Let f(w) be the first derivative of v*w + 0*w**2 + 7 - 2\/5*w**5 + 0*w**3 + 1\/2*w**4. Suppose f(u) = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 + 46. Suppose -m = 3*f - 76, x*f = 2*m + 112 + 11. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26118?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**3 + x**3 + x**3 + (16 - 18*x - 16)*(-4 + 3 + 3 - 3 + 1 - 1 + (0 + 0 + 1)*(-1 + 0 + 0))*(-2*x**2 + x**2 + 2*x**2).\nAnswer: 38*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 585 * 167.4485.\nAnswer: 97957.3725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -1108?\nAnswer: 1\/554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18, 129, 422, 987, 1914?\n\"Answer: 15*m**3 + m**2 + 3*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.780042 micrometers to kilometers.\nAnswer: 0.000000002780042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-17)*t)\/(t*t\/(t**(2\/9)*t)))\/(t*t**(1\/4)\/t)**(3\/13) assuming t is positive.\nAnswer: t**(-7411\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2684*z**2 + 0*z - z + z.\nAnswer: -2684*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 384232451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 7*o**2 + 389*o - 171. Calculate z(-56).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-3)*-3*1. Let c = j + -1. Let o(p) = -30*p + 215. Let z be o(7). Solve 0 = z*u + 15, c*v - 3*u = u + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(350)*-2 + sqrt(350) - sqrt(350))\/sqrt(10) - sqrt(35))\/(sqrt(180) + 1*sqrt(180)).\nAnswer: -3 - sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 12 + 3 + -7. Suppose 6*f - y*f = -1087. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*z - 1. Is 3 a factor of z + 24\/((-6)\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + 5*k**2 - 4*k**2)*(3 + 2 - 2) + (-84 - 4 - 70)*(2*k + 2*k**2 + 0*k - 4*k**2).\nAnswer: 310*k**2 - 316*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (69\/184)\/((-2)\/(-16)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5*s = -52 - 8, 0 = 3*y + s - 34. Let a = -7 + y. Let p = 14 - a. What is the smallest common multiple of p and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51107787*y**3 + 63946834*y**2?\nAnswer: 306646722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4 + 0.1. Suppose 8 = 5*i + 13. Let k = -35\/2 + 18. Put i, k, c in ascending order.\nAnswer: i, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 180, 222, 300, 420, 588, 810?\n\"Answer: r**3 + 12*r**2 - r + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1446287*u - 1449996*u + 2896283*u - 35*u**2.\nAnswer: -35*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (4 + -18)) + 26 + -17 + 9?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22424688 divided by 156816.\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a - 40. Let b be j(0). Let p = -29 - b. Solve -5*u - f = -p, -14 = -2*u - 3*f + 5*f for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-2) - -16) + -2. Suppose -t*f + 9*f = -30. Suppose 610 = 5*z - 4*m, 334 + 113 = 4*z + f*m. List the prime factors of z.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -67, -210, -353?\n\"Answer: -143*t + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-33) - 94\/(-705)?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and 78.\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (-1 - (-1 + 2)). Suppose x - 3 = -3*z + p, 0 = -3*z - p + 9. Suppose z*s + 33 = 5*s. What is the remainder when s is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115, 239, 545, 1123, 2063, 3455, 5389, 7955?\nAnswer: 11243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -2, 5, -13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 737.865\nAnswer: 295.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5092 is divided by 203?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) -1.2903 (c) 0.3 (d) 3 (e) 50\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99 and 2548980.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 5*t - 30, -2*d + t + 1 = -8. Suppose d*h = 8 + 4. Let s be 2*(-5 - -3) - -4. Sort s, h, -3 in decreasing order.\nAnswer: h, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5 = 9. Let v = 14 + f. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - m = 3*h + 14, -3*m + 20 = -4*h. Let a = 2 + h. Solve -5*n = -20, -8 = -a*r + 2*r - n for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*t + 7, -57*t + 10 = -59*t + 4*p. Put t, 96, 4, 5 in descending order.\nAnswer: 96, 5, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 - -2?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-64)\/(-12)*18\/12. Let a(t) = 12*t**2 - 16*t - 22. List the prime factors of a(c).\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2090142947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-120))\/((-12)\/(-16) + 0)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2704 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26788?\nAnswer: 2, 37, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/1044 and 55\/6741224.\nAnswer: 60671016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 5*n - 8, 1793*f - 1791*f - 3*n = 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -506 + 0?\nAnswer: -506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0*v + 3*a + 16 = 0, 5*v - 13 = 4*a. Suppose -5*i - 3*p + 13 + 12 = 0, v*p - 25 = 0. List the prime factors of (-3)\/12*i*-22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 528*b*r + 32*b*x + b - r*x - 2*r - 279*x + 26 wrt b?\nAnswer: 528*r + 32*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 0)\/(3 - 1). Let k = -284 - -292. Which is the nearest to f? (a) 4\/7 (b) k (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + (-169)\/3)*-3. Suppose -3*y = 0, 0 = -5*r + 3*y - 6*y + n. Let l = r + -15. Solve 4*s = -s + l for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*h - 13*h - 440 - 6*h in the form j*h + w and give w.\nAnswer: -440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 22.3459523 and 5.\nAnswer: 27.3459523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 306319272 and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**3 - b**2 + 17*b - 5. Let l(i) = 6*i**3 + 4*i**2 - 50*i + 16. Let n(s) = -8*d(s) - 3*l(s). Let n(p) = 0. What is p?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 5*i**2 + 5*i - 1. Let g be h(4). Suppose -g*m - 264 = -6*m. What is the units digit of m - (3 + -5 + 2 + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*g + g - 8*g)*(494 + 31*g**3 - 494) as t*g + l*g**4 + w + i*g**2 + q*g**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4\/2 - f**3 - 3*f**2\/2 + 2*f + 2.\nAnswer: (f - 2)**2*(f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3459023 is divided by 1910?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.579989224 to five decimal places.\nAnswer: -0.57999","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -f (base 16) in base 6?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a day in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 37?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -t**8\/20160 + t**5\/60 + 2*t**2. Let j(c) be the third derivative of k(c). Let u(d) = -2*d + 2*d - 4*d. What is j(u(a))?\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.58 + 0.1. Let c = 0.02 - s. Let f = 7 + -11. What is the third smallest value in 0, f, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8356 + 3?\nAnswer: 8359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*p - 12948 = 0, 51*h - 46*h - p - 64873 = 0. List the prime factors of h.\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence roz when three letters picked without replacement from {o: 3, z: 1, r: 7, i: 3}.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.868 at least -81028?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/2 + 18503*a**2 - a\/2 - 18503.\nAnswer: (a - 1)*(a + 1)*(a + 37006)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-35) + (-11)\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37411*p**3 + 18386*p**3 + 17641*p**3.\nAnswer: -1384*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60270 and 1169730.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.112 - 0.94\nAnswer: -1.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5 = 49. Let l = o - 18. Suppose -36 + l = -4*a. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11, -0.4, 62212?\nAnswer: 62212","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -g - 0*g + 21, -2*u = -g - 3. Solve 5*v = -0*v - g for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 11:36 PM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 110\/18 - (-16)\/(-144) - -1270. Calculate the highest common divisor of 33 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 n, and 2 f when four letters picked without replacement from {o: 1, i: 1, f: 9, n: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xfxfskxfftftxxfg. Give prob of picking 2 f.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/(-50) - 44\/10. Let r = s - -14. Suppose -5*h - 4*b - 11 = -55, 7 = h - b. Calculate the smallest common multiple of r and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2432*c + 1. Let h(n) = 29*n**2. What is h(u(a))?\nAnswer: 171524096*a**2 - 141056*a + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - -202022432?\nAnswer: 202022421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 2*w - 43*d + 39*d, 3*d - 21 = 3*w. Put 0, 61, w, -2, -4 in ascending order.\nAnswer: w, -4, -2, 0, 61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-5))\/((-12)\/60)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in -4, 1, -25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -67268.7986 - -67178.8. Let t = -90 - b. What is t rounded to 4 dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 4) to base 9.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 39 * -20\nAnswer: -780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of -1 - (-73 + (-3)\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 15, -3*n = -z + 49 - 30. Solve d = z*d - 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 22*h + 350. Let d be r(-15). Solve 5 = -5*u - d for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -310 - -11430?\nAnswer: 11120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 101*a + 7371. Let h be t(-73). Let x(w) be the third derivative of 1\/6*w**3 + 0*w - w**2 + 0 + 1\/24*w**4. Determine x(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5 (b) 0 (c) -16 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -208 by 52.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 219792812?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndnnnseo. What is prob of sequence dn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, 0, -2, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 3) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 120, 119, 118, 117, 116, 115?\n\"Answer: -b + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 - -27. Let o = 21 + -13. Let f be (3\/4)\/(2\/o). Solve -5*u + u + 24 = -m*p, 3*u = f*p + 21 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 19*m**3 - 5*m**2 - 4*m - 6. Let p(u) = -u**3 + u**2 + u + 1. Let l(y) = k(y) + 5*p(y). What is the units digit of l(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*j + 1)*(-11 + 4 + 2*j - 2 - 3*j - 4*j + 5*j + 4 - 2*j - 4 + (2*j - j + 0*j)*(6 - 3 - 5)).\nAnswer: -8*j**2 - 18*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 5:33 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, -2\/17, -3\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - a**2 + a. Let o(u) = -5*u**3 - 6*u**2 + 4*u - 1. Let t(x) = -x - 2. Let v be t(4). Calculate v*g(d) + o(d).\nAnswer: d**3 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.07 - 11. Let g = 0.67 - k. Let l be 5*5\/25*(4 + 1). Which is the smallest value? (a) l (b) 0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/((-2)\/(-26)))\/8. Suppose -9*b - 4*b = -39. Let k be (b - 1) + -7 + 6. Which is smaller: k or f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of 0 + 6*q - 3\/2*q**3 + 2*q**2. What is the derivative of l(w) wrt w?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -2)\/2*-8. Let y be (-2)\/a + 539\/(-28). Let n = 33 - y. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16761 and -9.\nAnswer: -150849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -3 + 3 + -4 + 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -345fb?\nAnswer: -345fe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkepevkveeeey. Give prob of picking 1 y and 1 e.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56 (base 8) to base 15.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (-72 - -35) + 37?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i\/(i\/(i\/(i**(-3\/2)*i*i*i)))))\/i*i**(2\/3))**(-2\/25))**17)**24 assuming i is positive.\nAnswer: i**(-952\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of y**7\/70 - y**3\/6 + 5*y**2\/2 - 2*y. Let x(w) be the first derivative of h(w). Differentiate x(g) with respect to g.\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -11. Let x be h\/10 + 123816\/640. Let n = -193 + x. Does 1 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.93*-0.3.\nAnswer: -2.979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -196, -264, -378, -538?\nAnswer: -744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 36*z - 136. Let n be r(8). What is the highest common factor of n and 341?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(((-72)\/6)\/(-6) - -10)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**8\/((u\/(u*u**(-11)))\/u*u)*(u\/((u*u\/u**(2\/7)*u*u)\/u*u*u)*u)**(4\/3))**27 assuming u is positive.\nAnswer: u**(-1251\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 11*g**2 + 12*g + 20. Let t be (-2 - -39) + 2*-2 + 2. Let w = -45 + t. Let j be h(w). Is 3\/13 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1322103 is divided by 220305.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -308?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2.4 * 4\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6918 + 129.6918. Put 0.02, 1, 3, f in ascending order.\nAnswer: 0.02, 1, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2102 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1372 divide 31416056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**6)\/o**(-13))\/(o**(-9)*o\/(o\/(o*o\/(o*o**(-2\/25))))) assuming o is positive.\nAnswer: o**(398\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**4\/5 + 20109*p**3\/5 + 191772*p**2 + 3594228*p\/5 + 702768 = 0. Calculate p.\nAnswer: -6655, -44, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 84930 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 490962*w**3 - 245267*w**3 - 245694*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 255750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*4*(8\/2)\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-9)*(-96)\/(-16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55 and 7931.\nAnswer: 39655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j + 5*j + 110 = j for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.7 (b) -2.466 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbnzzbbfbnnbf. What is prob of picking 3 n and 1 b?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbabbababaaaa. Give prob of sequence bba.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**3 + 101942677*r - 101942677*r.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -111057, -111059, -111061, -111063?\n\"Answer: -2*c - 111055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4389321144 to the power of 1\/3, to the nearest integer?\nAnswer: 1637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -103, -119, -147, -187, -239?\n\"Answer: -6*r**2 + 2*r - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**3 - 132*y**2 - 1685*y - 258. Calculate k(-49).\nAnswer: 673","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/((n**(-1\/3)*n)\/n)*n)**15)**(-12)*((n**0*n)\/n*n)**(13\/2)\/(n\/(n\/(n\/(n*n*n*n*n**0\/n*n*n*n))*n*n))**7 assuming n is positive.\nAnswer: n**(-1089\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/((-42)\/6)*86\/12255*15\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 2*q**3 - 3*q)*(q + q - 4*q) + 2*q**4 - 5*q**4 + 2*q**4 + 0*q - q**4 + 0*q + (22*q + q - 13*q)*(-3*q**3 + 2*q**3 - 2*q**3).\nAnswer: -28*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -3*t, -2*t = -18*x + 15*x + 17. Factor -8*y**3 - 3*y + x*y - 3 + 3*y**2 + 7*y**3 + y.\nAnswer: -(y - 3)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 84 + 24 = 0. Calculate the greatest common factor of 96 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48916 to the power of 1\/2, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 3 = 2*a - 2*i, -2*a + 5*i - 7 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - ((1 - 1) + -125). Suppose -505 = -5*s - p. Suppose 4*z + 0*z = s. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**3*m**3*y**2 + 2*a**3*m**3*y + 12*a**3*m**2*y**2 - 3778*a**3*m*y**3 + 3*m**3*y**3 + 38*m**2 wrt y?\nAnswer: -22668*a**3*m + 18*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/11 (b) -5 (c) -1665 (d) -2\/17 (e) -5\/6 (f) 0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of h**3\/3 - 19*h**2\/2 + 133*h + 40. List the prime factors of r(16).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/(-5))\/((-4)\/(-6)). Let v be (6\/(-9))\/(n\/9). Let x(t) = -2*t - 4*t**v + 2*t. Let h(l) = 2*l**2. What is h(x(g))?\nAnswer: 32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240*6631.\nAnswer: 1591440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -343 or -37?\nAnswer: -343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r - 33. Calculate w(-17).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 547 is divided by ((-2)\/(20\/(-6)))\/(4\/(19 - -181))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 0, -5*j - 5*i - 7*i = j - 7*i - i + 108 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7041 is divided by 150.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 726 + -310. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 0 + 0*m + 63*m**2 + 5\/24*m**4 - m**3 + 1\/60*m**5. Determine i(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 464910 and 162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - b + 2*b + 68 = 0, -5*x - 4*b + 106 = 0. What is the smallest common multiple of 56 and x?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 773 - 771. What is the lowest common multiple of m and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 11. Let q be o + 0\/2 - -3. Let v(f) = 2*f**2 + 5*f**q - f**3 - 3 + 9*f - 1 - 2. Give v(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 (base 14) to base 16\nAnswer: -3f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 436724709 and 114.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + u. Let w(h) = -3*h**3 + 8*h**2 - 1. Determine 6*a(m) + w(m).\nAnswer: -3*m**3 + 2*m**2 + 6*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 + -2 + 15 + -17?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*((-297)\/63 - -5).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -3, 13, 8, 586 in decreasing order.\nAnswer: 586, 13, 8, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 793.958 rounded to 1 dp?\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 16b996 (base 15) to base 3\nAnswer: 2002000020020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2032 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -271202 greater than -271202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -29, -83, -189, -365, -629, -999?\nAnswer: -1493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qaaqqaqqaaaaqaqaaaa. Give prob of picking 4 a.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**3 - m**2 - 6*m + 4. Determine i(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/(-15))\/((-4)\/(-18)). Suppose -l*h = -0 - 9. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*q**3 + 0*q**3 + 3773*q**2 - 3773*q**2.\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 266 divide 458739610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 30*y - 39. Let k be i(2). Calculate the highest common factor of 231 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 277251623*g**4 + 182246207*g**2.\nAnswer: 6654038952*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 + r - 4. Let t be x(-2). Is (-40)\/(-1)*(-2 - t - -5) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 10. Let o = -4561\/51 - -1526\/17. What is the smallest value in 2, 0.5, b, o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -o**2 - o**2 + 72 - 74 wrt o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*u + 188*u = 14879590. What are the prime factors of u?\nAnswer: 5, 73, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232551 is divided by 113?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10, 20, 30, 40, 50, 60?\n\"Answer: 10*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0*r = 3*r - 3641, 0 = 5*k - 5*r - 9040. List the prime factors of k.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41710 and 510.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 - 47. What are the prime factors of (-1 - (-417)\/a)*(3 - 1)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, s: 2, p: 10}. What is prob of sequence pp?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ywy when three letters picked without replacement from {a: 1, y: 2, p: 4, w: 4, u: 5}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a - 3. Let z be q(2). Let u = 12 - 7. Let b = u - z. Put 4, b, -1 in descending order.\nAnswer: 4, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 45*m**2 + 1 + 4 + m to n*m**2 + t*m + h and give n.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 12 - 32. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - g + 4*i + 27 = 0, 5*i = -4071 + 4061 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-752)\/(-10904) + ((-66885)\/(-196))\/(((-87)\/4)\/3)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 360\/54*(-2)\/(-10).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.133 and -0.03.\nAnswer: -0.00399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}