diff --git "a/data/dm_maths/full_data_1/11034_11255.jsonl" "b/data/dm_maths/full_data_1/11034_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11034_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate the smallest common multiple of 49 and 11361.\nAnswer: 79527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(792))\/(sqrt(539)*2 + sqrt(539) + sqrt(539) - sqrt(539))*-5.\nAnswer: 10*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58425*f**4 - 967*f**3 - 4566993*f wrt f.\nAnswer: 701100*f**2 - 5802*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 5*w - 1415, -w + c = -0*c - 281. Suppose 4*v + 16 - 12 = 0, 2*u - 4*v = 406. Let l = w - u. Is l a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 4:35 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 22*o - 25*o + 2*j, -31 = 2*o - 3*j for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 5*r**2. Let k be h(-5). Let w = -4.9 + 5. Let y = 0.1 - w. Which is the closest to k? (a) 0.3 (b) y (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2. Let z(j) be the second derivative of 179*j**3\/6 + 299*j. What is w(z(q))?\nAnswer: 64082*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 7 (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**5\/3 + 8*h**4\/3 - 10*h**3\/3 - 8*h**2\/3 + 3*h = 0.\nAnswer: -9, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*v - 0*v. Let a be (-21)\/(v\/(1 + 1)). Suppose -4*k + 7 = -a. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*b**3 + 156*b**3 - 3*b**2 + 3*b**2.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**2 - 3*a**2 + 5*a**2 - 2*a + 6*a to q*a**2 + n + u*a and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49 and 61691.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + z - 39 = 0. Calculate the greatest common divisor of z and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 660 + 6*y**2 - 334 - 326.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (11 - 1 - 6 - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -3, 9 in increasing order.\nAnswer: -3, 2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79*r**2 - 622169*r + 622169*r)*(-r**2 + r - r).\nAnswer: -79*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 3\/44 (c) -6 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -66 - -15. Let a = k - -5. Let i = -46.059 - a. Round i to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -22*b**2. Let s(v) = 11*v**2. What is -11*s(c) - 6*t(c)?\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -691*c*y**2 + 277*c*y + 2*c - y wrt y?\nAnswer: -1382*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 477899*v**3 + 1657347*v**3 - 488849*v**3.\nAnswer: 1646397*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 312451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1*(sqrt(300)*-1*1)**2 - ((1 + sqrt(147))*5*-1)**2).\nAnswer: -3397 - 350*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 16. Suppose -3*m + i*c = 4*c - 29, -m + c + 11 = 0. Suppose -12*r + m*r + 100 = 0. Solve 0 = -5*v, 4*q + 2*v = 4*v + r for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 913.2 micrometers in meters?\nAnswer: 0.0009132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (5 - -1 - (-46 + 49))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4340 and 337596.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 324130383 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/5 (b) 419 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 - 48. Let f be (3 + (-7 - -3))*2. Let q = l - f. Solve q = 2*b + 4*r - 0 - 4, 3*b - 13 = r for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -78443.57483 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2879 + -1a?\nAnswer: -2898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of 105*h**3\/2 - 395*h. Let c(w) = -w. Determine c(n(p)).\nAnswer: -315*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -4*r**2\/5 - 18016*r - 36781056\/5 = 0.\nAnswer: -22104, -416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -543.8 + 544. Which is the fourth smallest value? (a) -2\/7 (b) t (c) -3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -24. Suppose 6*b**4 - 15*b**3 - 11*b**4 - 2 + c = 0. What is b?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - l. Let v be t(-1). Suppose -4*c - 1 = -5. Let h = c - v. What is the nearest to h in -4, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 855 divided by -31?\nAnswer: -855\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -2*m + 48, 5*m - 90 = -k + 3. Let r(d) = -d + 9. Calculate the least common multiple of r(6) and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d - 5. Let z(i) = 0*i**2 - 4 + i**2 + i**2 - 5*i. What is the remainder when w(4) is divided by z(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 11:05 AM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 10*m**2 - 23*m + 9. Let p be i(-12). Sort -6, 4, p.\nAnswer: -6, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40761 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16800)\/1360 - (-4 - (-186)\/51)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 8 = -2*y, 9560*t + 6*y - 36 = 9557*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 67.139 and -2?\nAnswer: 69.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 4:45 PM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 10, h: 4}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 13*c - 9. Let y(p) = -3*p - 2. Let g(d) = k(d) + 6*y(d). What is g(9)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7436711, -7436725, -7436765, -7436843, -7436971?\nAnswer: -7437161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14355975 = 26*b + 49*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millisecond in microseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9940343 millennia in months?\nAnswer: 11928.4116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0*m + 4 = 0. Let u(s) = -342*s + 67747. Let v be u(198). Solve 5*p - m*q = v, -9 = -4*p + 5*q + 26 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/505407 and -23\/72201?\nAnswer: 505407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18079 greater than 18079?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**2 + 8*z + 109. Let u be g(10). Let p(s) = 53*s**2 + 12*s + 6. Is p(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23104378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -21, -1780, -1\/6, -1\/3, -2\/3, 4, 0.4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*6.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25776392.\nAnswer: 2, 59, 97, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 379903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 12 = -7*v. Suppose 2*a - 41*a = 46*a + 170. Put v, a, 8 in ascending order.\nAnswer: v, a, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6633 - -4353. What is u rounded to the nearest one hundred?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, t: 4}. Give prob of sequence ii.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20490 and 683.\nAnswer: 20490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 2 = -5*r - 4*g, g = -4*r + 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 625870 is divided by 2196?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 80105167 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1524566 is divided by 11290?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 80\/(-24)*18\/(-5). Let j(y) = -y + 12. Let z be j(g). Solve -2*a + z*a = 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -6*z**4 + 86*z**3 - 11*z**2 + 91. Let j(o) = o**4 - 17*o**3 + 2*o**2 - 18. Let u(l) = -11*j(l) - 2*x(l). Differentiate u(q) wrt q.\nAnswer: 4*q**3 + 45*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3424117092 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dq when two letters picked without replacement from qqqddqqdddqddqdqddqq.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -604.7 + 6444.2. What is o rounded to the nearest one hundred?\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -389?\nAnswer: -5\/389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (24 - 10) - -11?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -186 - -122. Let m = -122 - o. Let f = 63 + m. What is the third biggest value in -2, 3\/4, 0.5, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 657 divide 55845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/((j\/(j*j*j**(-5)))\/j)*j*j**27*(j**(-7))**(-5\/6) assuming j is positive.\nAnswer: j**(191\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 4*y**2 - 3. Let w(l) = 3*l - 12. Let b be w(5). Let i be v(b). Suppose i*q = 2*q + 40. What is the remainder when q is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*c - 2 = 0. Suppose 4*z = t - 22, -5*t + c*t + 4*z + 26 = 0. Let k be 0 + (t - -33*1). What is the greatest common divisor of 5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15307 is divided by 269.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 354 - 0.8\nAnswer: 353.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3 + l**3 - 140*l**5 + 82*l**5 + 2*l**3 - 3 - 319*l wrt l.\nAnswer: -1160*l**3 + 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6158668.\nAnswer: 2, 211, 7297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -k + f, 703*k = 712*k + 4*f + 25 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -d - 27875, -43*d + 48*d = 7*x - 97567. What is the thousands digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 2*z - 33, z + 11 = -2*f - 4. Let x(i) = -5*i**3 + 9*i**2 + 6*i - 8. Let l be x(f). Let n = l + -2831. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.215 micrograms in grams?\nAnswer: 0.000063215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -15523163 and -15523162 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60558 + -29254. Is c a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12051549 is divided by 1514?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -555 + 953. Does f = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away -10828838530.2491?\nAnswer: 10828838535.2491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18566 is divided by 1875?\nAnswer: 1691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dc when two letters picked without replacement from {c: 2, j: 3, d: 1, h: 1, g: 3}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 7:42 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**5\/60 - 2*q**2. Let n(a) be the second derivative of -2*a**3\/3 - 3*a. Determine x(n(p)).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3122 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: Rearrange z + 37*z**2 + 41*z**2 + 4 - 3*z - 74*z**2 to the form c*z**2 + a + i*z and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/9)\/((-10)\/5130). Let q = g + -44. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -2. Let d(w) = -2 + 3 + w**2 - 2*w + 0*w**2 + 10*w**2. What is d(r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 4 (b) -0.2 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(((-7)\/(-4))\/7). Solve -x = 3*x + a*o + 16, 4*x - o = -16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/10 + 732\/15. Let p = j - -34. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (17 + (-15 - -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 121*m**3*t**2 + 3*m**3 + 14240*m**2*t**2 + 2*m*t**2 - 8*m*t + 41162*t wrt t.\nAnswer: 242*m**3 + 28480*m**2 + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + y + 7)*(3*y + 5*y - 5*y).\nAnswer: 3*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r - 1. Let a(o) be the second derivative of 5\/2*o**2 + 0 - 8*o + 1\/4*o**4 - 13\/6*o**3. Let z be a(4). What is p(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 45 - 95 - 3*w**2 + 4*w**2 + 51. Calculate the lowest common multiple of 5 and f(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 481 or 475?\nAnswer: 475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1754*(484\/(-12) + (-6)\/9). Let d = k + 213898\/3. Let p = -603 - d. What is the common denominator of p and 145\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*b**2*w**2 + 15*b**2*w - 35*b*w**5 + b*w**2 - 8*b*w wrt w?\nAnswer: -12*b**2 - 700*b*w**3 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -239 + 246. Suppose -5*z - p = -3*b + 18, 5*b = 2*z + 29. Suppose -5*d + 0 = -5. Solve -d = -b*i + q, i + 2*q = -q - 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 615057040 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2 - ((-8)\/(-60) - 12320\/150) is divided by 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/117156470?\nAnswer: -1\/117156470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 5*r - 9, 3*r = s - 7 + 19. Suppose -r*i = -0*i - 9. Suppose -k = m + 4*m - 124, k = i*m - 68. What is the greatest common factor of m and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**22*t)**(-20\/11) assuming t is positive.\nAnswer: t**(-480\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 1100*y + 93. What are the prime factors of k(2)?\nAnswer: 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -k**5\/20 + 3*k**4\/4 - k**3\/6 - k**2\/2 - 3*k - 1. Let j(i) be the first derivative of r(i). Determine j(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n - 20*n + 3*f = 12, n - 4*f = -17 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42115057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3240687636481*f**2\/3 - 3600382*f - 3.\nAnswer: -(1800191*f + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -n**6\/120 - 7*n**5\/30 - 5*n**4\/24 + 5*n**3 - n**2 + 36. List the prime factors of a(-15).\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -d - 18, -4*x = 5*d + x + 65. Let w be ((-12)\/d)\/((-9)\/(-24)). Is (w + -10)*(-39)\/6 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 2199141289?\nAnswer: 2199141289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/(-153) + 4\/(-34). Calculate the remainder when 355\/(-10)*(-2 + t) is divided by 4*(0 + 12\/2).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -n**5\/60 + n**4\/4 + 211*n**2. Suppose z(i) = 0. Calculate i.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5846*g - 5845*g - 3*g**2 + 11691*g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2 + (-2 - 2 + 1)*(-2 + 0 + 3))*(2 - 3 + 0)*(-3 - 8*z**2 + 3).\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 224371.342 to the nearest one thousand.\nAnswer: 224000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3951*v**2 - 4*v + 5. Let l be p(2). Suppose -10*w = -l + 2191. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1898 + 0.19. Round x to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 179 - 123. Let t = -434 - -441. Calculate the highest common factor of p and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10340 and 8336108.\nAnswer: 41680540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13234573.\nAnswer: 11, 103, 11681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2646, -172, -2990, -5808, -8626?\nAnswer: -11444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x - 98. Let m(t) = -17. Let s(c) = 6*m(c) - w(c). Let f(v) = -1. Determine 10*f(q) - 2*s(q).\nAnswer: -4*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) 1\/2 (b) 5 (c) 155 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 234*z + 1338. Determine q(-6).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -41.07 and 1.13?\nAnswer: -46.4091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 5:12 PM?\nAnswer: 12:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -120647768 * -3.\nAnswer: 361943304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9154, 9153, 9152, 9151?\n\"Answer: -g + 9155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 5*j - 5. Calculate w(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*m**3 + 112192*m**2 - 6149520*m + 11850624 = 0 for m.\nAnswer: 2, 54, 27432\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 2166280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 440, -0.9, 39123?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p - 3. Suppose 3*f + 0*l - 3*l - 6 = 0, -5*l = f + 10. Let j be v(f). Let b = 7\/2 + j. Is b greater than or equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 7*i + 8. Determine y(-7).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -141 + 148. Suppose t*v - 20 = -3*v. Sort v, -3, -5, -2 in ascending order.\nAnswer: -5, -3, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l + 8. Let i be o(6). Suppose y + 12 = 3*a + 3*y, -3*a + i*y = 0. Solve 0 = -a*j + 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + -1)**2*6 + 0 - (((sqrt(396) - -1*sqrt(396)) + -3)**2 - (1 + sqrt(396)*-1 + sqrt(396))**2))*-4.\nAnswer: -3160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of 1\/540*h**6 + 8*h**2 + 1\/108*h**4 + 0*h**3 + 0*h + 0 + 1\/135*h**5. Solve x(g) = 0 for g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 11 - 1 + 4 - 1)*(2325*p - p**2 - 2325*p) to n*p**2 + j + q*p and give n.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9389?\nAnswer: 41, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, j: 2, z: 7}. Give prob of picking 2 j and 1 h.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57499 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*w**2 - 22*w + 22*w - 155*w**2 in the form p + v*w + z*w**2 and give z.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -y**7\/6300 + y**6\/1800 + y**4\/8 + 7*y**2. Let p(n) be the second derivative of q(n). Factor p(u).\nAnswer: -2*u*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 21*x - 18*x. Solve -5*k = -3*k - x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p = -374840 - 254584. What is the ten thousands digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*d = -3*c + 8827, d + 8837 = 3*c. What are the prime factors of c?\nAnswer: 5, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eoeoqeoeqibeebb. What is prob of sequence iob?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25504858 is divided by 10077?\nAnswer: 10048","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 10*y + 13. Let d be (-1)\/(4\/(-44)*-1). Let w be n(d). Is 2 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 10*w = 0. Let j be 3\/(-2)*(-6 - w - -4). Solve -12 + 0 = j*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 146\/5? (a) 2 (b) -4 (c) 21\/5 (d) 0.1 (e) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 16?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**2\/2 - 15*r. Let w(i) = i + 8. Calculate 40*a(p) - 5*w(p).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1069 is divided by 267?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1386 and 138463542.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 27\/4 of a hour?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1426\/36363*(-4233)\/(-2)\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i - 2*i - 4*i + (-9 - 4 + 3)*(i - 3*i + i).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -348*w**3 + 172 wrt w.\nAnswer: -1044*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*b + 71*b = 70065. List the prime factors of b.\nAnswer: 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**2\/3 + 578*s\/3 + 1148\/3 = 0.\nAnswer: -287, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, y: 4, k: 5}. What is prob of sequence yv?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15291 + -0.014.\nAnswer: -15291.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 687\/916*(-5)\/((-105)\/(-1624)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 26. Let y be (7 - q) + (-158)\/(-2). Suppose 2*w - 4 = 0, 4*v - 5*w + 10 = y. Calculate the remainder when v is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**4 - 38*b**3 + 114*b**2 + 126*b - 540 = 0?\nAnswer: -2, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 10*r + 32. Let z be ((-8)\/4)\/(5\/(30\/4)). Is n(z) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 108395004*y**5 - 1017753888*y wrt y?\nAnswer: 2167900080*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4829*u. Let b(a) = a. Give j(b(r)).\nAnswer: 4829*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -15*x. Let z(q) = 4*q**2 + 386. Calculate v(z(y)).\nAnswer: -60*y**2 - 5790","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 219397, 218730, 218063, 217396, 216729, 216062?\nAnswer: 215395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w + 0*w - 2*w + 3. Let h = 93 + -138. Let n = h + 41. Determine r(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/5560 and 57\/6950.\nAnswer: 27800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -4. Let x = -0.5 - -0.6. What is the nearest to x in z, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 8.\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*x**4 - 12*x**3 - 2*x - 37.\nAnswer: 276*x**2 - 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + s)*(5 - 17 - 26) + (-3 + 6 + 1)*(2*s - 2 + 2) to the form n + y*s and give y.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2745 + -1276. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12001012 + 21?\nAnswer: -12000221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (12\/24)\/((-2)\/((-32)\/(-20)))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13.84 - 13.989. Let p = -15727.151 + 15735. Let r = q + p. Round r to 0 decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2978 - -2983. Sort y, -2, -1026, 4 in decreasing order.\nAnswer: y, 4, -2, -1026","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rjjjzmmmtjm. What is prob of picking 1 t and 3 j?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1945cb - -4?\nAnswer: -1945c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2803, 11405, 25745, 45823, 71639?\nAnswer: 103193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**4 + 22372*p**3 + 1307912*p**2 + 17638320*p - 40687200 = 0.\nAnswer: -30, 2, 5651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*t + 2 = -18*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 3, -s = -h + 2*h + 4. Let c be 3\/1 - (6 + s). Solve -d - 2 = c*f, -2 = -3*d + 4*f - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(6*sqrt(108)).\nAnswer: sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43126 (base 12) in base 13?\nAnswer: 31266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (121\/55)\/(3828\/435).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 19. Let u be ((-87)\/6)\/(0 - 2\/12). Let z = u + -67. Calculate the lowest common multiple of z and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 2*g + 0*g)*(-13*g**3 - g**3 - 1 - 5*g**3).\nAnswer: -38*g**4 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 430376 and 180973108?\nAnswer: 361946216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 12:06 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1307 - 1306. Sort -2, 0, c, 17 in decreasing order.\nAnswer: 17, c, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*t + 1516 = 45*t. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4165930, -4165932, -4165936, -4165942, -4165950, -4165960, -4165972?\nAnswer: -4165986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 40*b - 4. Determine p(1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -14*g + 15*g. What is the remainder when 88 is divided by 2\/(-4) + (-63)\/g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6*2\/3144)\/(2\/(-8)). Let n = -7 + 6. Is n smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 5*p - 6, 4*p + 7*l - 18 = 5*l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 2*t + 50. Suppose t = 5*p - 3*p. Suppose 5*l + p*v = 205, -3*l + 143 = -5*v + 36. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d - 0. Suppose -2*t - t - 4*p + 84 = d, -90 = -3*t - 2*p. Suppose 14*o - 13*o = 6. Calculate the lowest common multiple of t and o.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/(-525))\/(2\/9)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -24 + (4 - (71 + (-3 + 0 - -4)))\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**3 - 2*q**3 + 0*q**3 - 7*q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 440483464 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 857 + -858.741. What is the second smallest value in -3, 0, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**4 - c**4 - 4*c**4 + (4*c + 0*c + 0*c)*(-c**3 - c**2 + c**2).\nAnswer: -6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nk when two letters picked without replacement from {n: 1, d: 1, k: 9}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2506 + 4743. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 43\/4 of a meter?\nAnswer: 1075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 108217543 > 108217543?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - 4 - 1*-40. Calculate the highest common factor of m and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 2*z + 7. What is y(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0107671 rounded to four decimal places?\nAnswer: 0.0108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1723065 is divided by 3898?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 222 and 9.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/164 and 119\/12.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 8*x**2 - 15*x. Is r(6) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*b = -97*b. Suppose b = 14*y - 3*y - 649. Calculate the remainder when y is divided by 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 8:10 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15205629 is divided by 416.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -145*(4380\/5100 - (-8)\/(-136)).\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 4:15 PM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + 5 + (0 + sqrt(153) - sqrt(17)) + sqrt(153)\/(sqrt(9)*-2).\nAnswer: 3*sqrt(17)\/2 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 154691373 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -7*r**2\/2 - 38*r + 13. Let s be d(-9). Calculate the highest common factor of s and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9674*a**3 - 2*a**2 + 17*a + 2987043.\nAnswer: -29022*a**2 - 4*a + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 16*p**2. Let y(d) = 48*d**2 - 2. Calculate y(g(w)).\nAnswer: 12288*w**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 3 (c) -1.68 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n + 7. Let u(t) = -1. Let y(l) = 10*u(l) - 2*w(l). Suppose -i - 3*i + 52 = 0. Does 7 divide y(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4948758.\nAnswer: 2, 3, 274931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - x - 1 = 0, a + 4 = -5*x + 10. Suppose -4*v + 20 = 0, 3*v = -4*c + 6*v + a. Solve k - 4*p = -9 - 7, 2*k - c*p + 20 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**2 - 2758*x + 212779. Give j(85).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*w + 131*w - 14 = 0. Suppose 20 = -4*c, 4*p - w*c + 4*c = 23. Let x be (8\/(-2))\/(1 - 3). Solve p = a - 0, -3*a + x = i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-38) - (-224)\/760)*5. Solve 888 - 898 = k*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/4 and -95\/264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-12)\/(-2))\/2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 3:48 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 + 7 + -8 + -4 + (6 - (-3 + -5))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from vmsmzmmvvm.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + -15. Let s = l - 0. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1061740, 1061666, 1061592, 1061518?\nAnswer: 1061444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 147501862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/(-5) - 0 - (-7 + 0). Let s = 6 + -3. Differentiate 4*u**s + 4 + 9*u**3 - j*u**3 with respect to u.\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-2)*(-8)\/(-6). Let t = 6\/77 - -100\/693. Which is the nearest to k? (a) 1 (b) t (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00219123006 rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 411 + -406. Suppose -5*k - 3*i = -397, -i = j*k + 3 - 392. What is the smallest common multiple of k and 99?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 55*w**3 + w**2 + 2*w + 12. Let s(i) = 220*i**3 + 3*i**2 + 9*i + 48. Let g(v) = -9*r(v) + 2*s(v). Find the third derivative of g(o) wrt o.\nAnswer: -330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.43402 + -0.10025369.\nAnswer: -1.53427369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -29*p. Suppose 0 = 6*i - 5*i + 5*b - 17, -i + 5 = b. Let k(m) = 19 - i*m - 16 - 3. Calculate z(k(u)).\nAnswer: 58*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2 = 3*k - 0*k, 0 = 2*h - 5*k. Suppose 5*m = -2*n + 35, n + 2*m + h = 5*n. Suppose 1231 = n*z - 4*i, i = -4*z + 509 + 480. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6593.1 - -19.\nAnswer: -6574.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 13*n**2 + 7*n + 91. Give v(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-49)\/21)\/((-6)\/(-24)). What is the third biggest value in 1\/7, 0.8, t, 0.3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w**5 - 3*w**5 + 2*w**5 + (2*w - 4*w + 3*w)*(-3*w**4 + w**4 - w**4) + (-2*w**3 + w - w)*(w**2 + 2*w**2 - w**2).\nAnswer: -13*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -217 divided by 523\nAnswer: -217\/523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17\/128 in -2593, -1.6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/35 + (-51)\/(-84). Which is the nearest to -1? (a) h (b) -1\/2 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 19*d**2 - 19*d + 23. Let c be b(-20). Suppose 4*a = 3*h + 25, -2*a - a + 5 = -5*h. Suppose t + 4*t - a = 0. Solve 0 = t*n - 3*n - c for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 19 - 49. Calculate the remainder when (-5)\/(-15)*-2*126\/(-4) is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/35*(-45)\/18.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/4*(-1)\/(3\/60). Calculate the highest common factor of 5 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 94 + 21*m + 196*m + 338*m - 109*m.\nAnswer: 446*m - 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -120131359\/12 - -10004658. Let k = i + 6276. What is the common denominator of k and 101\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 892710 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 2*m + 12, -5*m + 2*u - 8 = -u for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o + 1. Let r(l) = 5*l - 6. What is 11*k(c) + 2*r(c)?\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1928?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3e9c7 (base 15) to base 9\nAnswer: 336157","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ra when two letters picked without replacement from jjjjyrad.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(2)*1 + 3)*5 + (5 + (sqrt(14)\/sqrt(7))**2 + sqrt(2) - ((sqrt(14)*-2)\/sqrt(7))**2).\nAnswer: 4 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -36*d + 58. Give s(-5).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -202.5 - -202.52. Put -5, 5\/4, f, -1\/5 in descending order.\nAnswer: 5\/4, f, -1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4 + 2. Suppose 0 = -3*y + 2*l + 23, -y + 3*y - 4*l - 26 = 0. Suppose -y*d + 20 = -5*w, -g*w + 6 - 4 = -d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*p**4\/4 + 10565*p**3 + 79433*p**2\/4 - 68307*p\/2 + 3726 = 0.\nAnswer: -2484, -3, 2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1306614 + i + 1306614.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -65 - 1?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**(-23)))\/d*d\/d**(20\/7))\/((d*d\/d**(2\/9)*d*d*d)\/d*((d*d**21)\/d)\/d) assuming d is positive.\nAnswer: d**(-3127\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 6:26 AM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d. Let l be g(1). Let y(h) = h + h + 0*h**l + h**2 - 3*h. Calculate the lowest common multiple of 22 and y(4).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -953839 and -953842 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3928*z + 7767. Is w(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -248855 - -251021.46. Let z = 2162.45996 - d. Let x = -4 - z. Round x to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-2 + 3) - (3 - (-7 - -6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 683171416 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: What is the next term in -206, -177, -128, -59?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(76) - (sqrt(76) + sqrt(76)*-2 + sqrt(76))*-6)*1)\/(((-1*sqrt(484) + sqrt(484) - sqrt(484)) + sqrt(484) + sqrt(484) + sqrt(4))*1))**2.\nAnswer: sqrt(19)\/6 + 163\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxgk when four letters picked without replacement from {g: 9, k: 1, u: 4, x: 3, e: 1}.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z**2 + 902*z - 29986. Calculate o(185).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 85092617?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, g: 7, v: 4}. Give prob of picking 4 g.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.42547 to 2 decimal places.\nAnswer: 1.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 647 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j - 1. Is a(3) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*y - 2*y - 1260. What is the greatest common divisor of y and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -10271\nAnswer: -10250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 6*s + 1. Let o(x) be the first derivative of -x**2\/2 - 293. Calculate -l(w) - 3*o(w).\nAnswer: -3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 475 and 1229680?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*s - 64*s + 24*s = 1232 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*y + 4 = 0. Let k be y\/((9\/6)\/(9\/6)). Suppose 236 + 350 = 2*q - 3*w, -k*q + 1172 = -2*w. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - -8. What is the least common multiple of n and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 17001644?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 + 25. Which is smaller: p or 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -375 smaller than -2251\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65\/5 - 95\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -9*s + 4*s. Suppose 0 = -3*o - 4 + 7. Calculate the least common multiple of 1\/(-2)*(s + -16)\/1 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 65 = -3*a, -4*f + a - 2*a = -155. Let g be (-2 - -6) + (24\/6 - -52). Calculate the highest common divisor of f and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -251*t**5 - 8*t**3 + 3*t**4 - 39*t**3 + 586*t - t**4 + 50*t**3 + 3*t**2 - 1 - t**3 wrt t?\nAnswer: -15060*t**2 + 48*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -81 - -76. Let l(t) be the first derivative of t**4\/4 + 4*t**3\/3 - 3*t**2 - t - 21. Calculate l(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i - i**2 + 6*i)*(3*i**3 + 6*i - 4*i - 5*i**3 + (i**2 + 2*i**2 - i**2)*(-2*i + i + 3*i) + i**2 - i**2 - i**3).\nAnswer: -i**5 - 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-11) - (-2)\/(-66)*171.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/24*(-12)\/(-180)*2. Which is the biggest value? (a) -10\/29 (b) 2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -10\/207307?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 151.\nAnswer: -9\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 2*p - 3*p + 0*p - 4*p + 6*p + (3 - 2 - 3)*(5*p - 3*p - 4*p) + 2*p - 1 + 1 + 2 + p - 2)*(-9*p**3 + 7*p**3 - 6*p + p**3).\nAnswer: -8*p**4 - 48*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 945\/94 - 26\/47. What is the common denominator of -157\/42 and h?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 >= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -842883, -842861, -842845, -842835?\nAnswer: -842831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -40 + (-68 - (21 - -12)) + 47\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553264 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1872)*1 + sqrt(1872) - sqrt(1872)) + -1)*5)**2 + ((-5 + 5*(sqrt(13) + 0 + sqrt(13)))*-3)**2.\nAnswer: -1500*sqrt(13) + 58750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 12, 0 = p - 0*p - 3*b + 7. Suppose p*w = 2*q - 16, 6*q = 4*q + 10. Let o be 1 - 1 - 0 - w. Solve -o*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-48412)\/234)\/133)\/((-6)\/3)?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/(-6)*2*1. Suppose -4*j - 79 = -5*s, y*s = 3*j + 25 + 33. Let i be j\/(-9) - (-1)\/(-3). Put i, 0, -3 in descending order.\nAnswer: i, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 25*h + 108. Let d be o(28). Calculate the highest common divisor of 5560 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*q**(1\/3))\/q*q)**(-11\/3)*(q**(1\/5)*q*q)**(-2\/41))\/(((q*q**(-2\/3))\/(q\/(q\/((q*q**(-4))\/q*q*q))))\/(q**(-1\/5)*q**(-1\/13))) assuming q is positive.\nAnswer: q**(-270386\/23985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r + 2. Let k be -32 + 30 - 3\/((-6)\/(-4)). Let i(p) = 5*p + 9. Let l(q) = k*i(q) + 18*z(q). Let j(c) = 2*c + 9*c + 4*c. Determine l(j(y)).\nAnswer: -30*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1076*d - 1075*d - 1152. Does 24 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.028477078 rounded to six decimal places?\nAnswer: 0.028477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 14300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 111084941 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 49 = -5*u, -38 = 3*i + 13*u - 17*u for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a2e2 + b3?\nAnswer: -a22f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5*h - 296. Give l(10).\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -12*c**5\/7 - 62*c**4\/7 + 688*c**3\/21 + 48*c**2\/7 + 1692. Determine z, given that a(z) = 0.\nAnswer: -6, -2\/15, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 2\/3)*-12. Solve -w*k = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 12, o: 1, i: 1, n: 1}. Give prob of sequence ir.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20312.4348ns to days.\nAnswer: 0.000000000235097625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 963 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3981040315 to the nearest integer?\nAnswer: 63095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 278093995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**2 + 52816*l + 105624 = 0. Calculate l.\nAnswer: -26406, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 10}. What is prob of picking 2 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61 - -64. Find the first derivative of q*f + 11*f + 0*f + 0 + 3 wrt f.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-4) + (-18)\/24. Suppose r = -2*l - 14 - 54. Let j = l + 52. Calculate the common denominator of j and -10\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 89\/3. Let o = 0.4 - 2.4. Let z = 4 + -3.7. Which is the closest to n? (a) -0.1 (b) z (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54726 (base 9) to base 5.\nAnswer: 2130222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eg when two letters picked without replacement from jjgjgjejgejjg.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 5, 0.09, 0.1, -0.4, 6 in descending order.\nAnswer: 19, 6, 5, 0.1, 0.09, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) -9 (c) -4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-4) + 0 + (-6)\/(-4). Suppose 0 = -11*s - 99 + 143. What is the highest common divisor of s and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**2. Let b(a) be the third derivative of 7*a**4\/8 - 7*a**2. Determine c(b(h)).\nAnswer: 1323*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9350 is divided by 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6348, -26366, -59624, -106116, -165836, -238778, -324936, -424304?\n\"Answer: v**3 - 6626*v**2 - 147*v + 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22270 + 1853 = -924*i + 193*i for i.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-2) - 35\/2. Let c be 4\/(-8) - w\/(-4). Put c, -2, 3 in descending order.\nAnswer: 3, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 72. Let p(q) = 3*q - 215. Give 6*p(o) + 17*u(o).\nAnswer: o - 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = 197*y + 1123 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (8 + 5 + -14 - 15)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62496304 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 70, 118, 178, 244, 310, 370, 418?\nAnswer: 448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -5.4. Let l = -15785 - -15777. Let r be 10\/(-72) - (-1)\/4. Which is the nearest to -2\/3? (a) v (b) r (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 w when two letters picked without replacement from {b: 3, w: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*z**3 + 4*z**2 + 5*z**3 + 8*z**2 - 3*z**2 - 2*z**2 to the form k*z**2 + v*z**3 + x*z + b and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lq when two letters picked without replacement from {l: 2, a: 1, q: 4}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 881379?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, q: 6, g: 4, d: 5}. What is prob of sequence qee?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 82?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -5*g + 36. Suppose 3*p - 90 = -4*z - 78, 4*z - 4*p = -16. Solve 6*q = q + n - 9, z = 2*q + 2*n + g for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**6)\/a**(-1\/5)*(a**(2\/11)\/a)\/(a\/a**(-1))*a*a*a**(-3)*a*a**(-2\/3)*((a*(a**(1\/8)*a)\/a)\/a)\/a**(-1\/4) assuming a is positive.\nAnswer: a**(-9121\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/(2 + 1) + 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -216113 bigger than -216111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 13*o + 12. Suppose -5*x = 4*q - 29, -5*x + 0*q - 2*q = -37. Let l be j(x). Suppose -18 - l = -3*z. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1012859 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 22113971?\nAnswer: -22113975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13595684?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44539*g - 22251*g - 22280*g - 15.\nAnswer: 8*g - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - ((-2740)\/(-80) + -17)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 z when three letters picked without replacement from yycyyyyzyyy?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*c**2 - 115*c - 10 = 0 for c.\nAnswer: -2\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-77*b**3 + 33*b**3 - 66*b**3)*((1 - 3 - 4)*(-1 + 0 + 2) + 3 + 1 - 5) - b**3 - b**3 + 3*b**3 - b**2.\nAnswer: 771*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-4)\/14 - 9075\/(-1925).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -104*j**2 - 12. Let n(x) = -207*x**2 - 25. Let c(y) = 7*g(y) - 4*n(y). Differentiate c(u) wrt u.\nAnswer: 200*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cwaqege. Give prob of picking 1 q, 1 a, 1 e, and 1 c.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 f when two letters picked without replacement from {r: 2, f: 4, b: 4}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(228) + 1*sqrt(228))\/sqrt(12)*3 + 0)*-4.\nAnswer: -24*sqrt(19) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205075.\nAnswer: 5, 13, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1210405812?\nAnswer: 2, 3, 7, 11, 1309963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5471?\nAnswer: 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29.7281 + 303006.\nAnswer: 303035.7281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*h + 95*h = -72. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4.1, -0.35, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 802 - 532 + 1317 - 3*n + 1296 + n.\nAnswer: -2*n + 2883","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 62 (b) -5 (c) 0.2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -17560268 at most -66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -75*k**3\/7 - 1077315*k**2\/7 - 3865997337*k\/7 + 19356928935\/7 = 0.\nAnswer: -35923\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 12*t**2 + 12*t + 25. What is the tens digit of c(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**3 + 32 - 6 - 2*c**3)*(1 - 5*c**2 - 1) + (21*c - 8*c**2 - 21*c)*(2*c**3 + 0*c**3 - 4*c**3)*(1 - 2 - 2).\nAnswer: -38*c**5 - 130*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - (20\/(-4) + 0). Suppose l - g = 3. Put 0, -1, 3, l in ascending order.\nAnswer: -1, 0, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1404, -2722, -4050, -5394, -6760, -8154, -9582?\n\"Answer: -f**3 + f**2 - 1314*f - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18918\/(-2574) + 5\/65. Sort h, 5, 4 in ascending order.\nAnswer: h, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 201.688821 to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qfqd when four letters picked without replacement from {t: 2, q: 3, f: 2, d: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 41 = -10. Let h = 33 + f. What is z in -h*z**4 + 2*z**2 - 8*z + 16\/3*z**3 - 8\/3 = 0?\nAnswer: -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5007, 4, -3 in descending order.\nAnswer: 4, -3, -5007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*m + 43*m + 5 = -d + 91*m, -4*d - m = -9*d - 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 5. Let h be g(11). Let s(f) = -7*f - 39. Let i be s(h). Let l be (-27)\/(-12) + 1\/(-4). Put 4, -3, i, l in decreasing order.\nAnswer: 4, i, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 6, 0.2, -240\/19, -2\/5, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 13 + 3 = -2*y, 4*y = 3*f + 14. Let x = f - 2. Let r(z) = -2*z + 4*z**2 - 3*z**3 + 4*z**3 + 0*z**3 - 2. Determine r(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -3*w**3 - 1062*w**2 + 2145*w + 3204 = 0.\nAnswer: -356, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g**2 - 2*g - 4. Let l be ((-32)\/56)\/(6\/42). Let d(q) be the third derivative of -q**5\/20 + q**4\/12 + q**3\/2 - q**2. Give l*f(o) - 5*d(o).\nAnswer: -o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 - 2)*(-2)\/(-2). Suppose -27 = -2*o + 5*b - 6, l*o + b - 6 = 0. Let i be o\/(-1) - (-14)\/7. What is the biggest value in i, 0.07, -0.1?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2373461.\nAnswer: 19, 124919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 - 7*t + 3. Suppose -50 = 15*h - 25*h. What is l(h)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173*r - 5754 = -179*r. Let y = 1607 - r. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -368625, -1474514, -3317655, -5898048?\n\"Answer: -368626*q**2 - 11*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.60588842 rounded to 0 decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 276 and (3264\/84)\/(-17)*-7?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t - 16. Let a be m(-18). Suppose 5*z + 3*i = 292, -a*z + 52 = -z - i. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tytttcyyytc. What is prob of picking 2 c?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 635, 628, 607, 566, 499, 400?\nAnswer: 263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 29\/3 of a day?\nAnswer: 13920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 166366861 to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -2\/3153 (c) 4190\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4598213 a multiple of 884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 0*f - 55. Suppose -4*w = -45 - f. Suppose 0 = -t + 2*x - 0 + 2, -5*t = 5*x - w. Solve 2*p + 12 = -t*u, 1 = p + 3*u + 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-80)\/120 + (-2 - 38\/(-3)). Suppose -z*h + 26 = 3*h. Solve -h*i + 4 = 2*l, -i + 0*i = -5*l + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*o - 46 = 123*o + 5*v, -o - 4 = -3*o + 3*v - 18 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -160c028 (base 13) in base 4?\nAnswer: -123000300011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 143784 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -3*m - 0. Suppose 0*l - 4*l = -q + 29, 7 = -2*l - q. Let g = l + m. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 21*j**2 + 15*j - 13. Let o(n) = 10*n**2 + 7*n - 6. Calculate 6*c(r) - 13*o(r).\nAnswer: -4*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 8:15 PM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 60*u + 2. Let s(q) = -59*q - 2. Give 5*s(c) + 6*y(c).\nAnswer: 65*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - u + u**2 - 5*u**2 + 2*u**2)*(-4*u + u - 3*u) to s + c*u**3 + g*u**2 + w*u and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 18 = 8. Suppose 5*z = p + 79. Suppose -r - 17 = 4*h, -4*h - h - z = r. Are -6\/13 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 202 (base 3) to base 15\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408538755.\nAnswer: 3, 5, 3026213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -112, -162, -214, -268, -324, -382?\n\"Answer: -m**2 - 47*m - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lui when three letters picked without replacement from duiublddjll?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c577b19 - 6?\nAnswer: -c577b21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 816 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: Solve -5605*p + 4875 = -5410*p for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 982479705?\nAnswer: 3, 5, 65498647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -657387060.\nAnswer: -657387059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, a: 6, g: 1, o: 3}. Give prob of sequence oma.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17 - -26257?\nAnswer: 26240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4249241*v**2 - 1659139*v wrt v?\nAnswer: 8498482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1132 + -12?\nAnswer: -1144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a kilometer in meters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/2 - 3785*v**2\/2 - 7573*v\/2 - 3787\/2.\nAnswer: (v - 3787)*(v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/120)\/(5 - -1) - -10) + (-492)\/(-4)?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/35 - 256\/360?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 6 = 2*k, 2 - 19 = -4*i - k for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2377022*t**2*x**3 + 16*t**2*x**2 + 3*t**2*x + t*x**2 + 636*x**2 wrt x.\nAnswer: -14262132*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 i when two letters picked without replacement from iinnfnnmc?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 915714751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 43660223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, 60, -2405 in increasing order.\nAnswer: -2405, -38, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -538 = -3*a + 3*u - 2*u, -2*a + u = -360. Let d = a - -45. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 15*y. Let l(z) = 7*z + 51. Let j(c) = -2*c - 56. Let s be j(-11). Let f(k) = -k - 9. Let r(u) = s*f(u) - 6*l(u). Give r(o(n)).\nAnswer: -120*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22764 and 33062.\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/2)*t\/t**(-11))**(-25)\/((t**8*t**4)\/(t**(-7\/3)\/(t**(-3\/10)\/t))) assuming t is positive.\nAnswer: t**(-4508\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y - 10. Let p be h(5). Factor 1 + 14*k**2 - p*k**2 - 1.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*t**2 + (-t + 0*t + 0*t)*(-4*t + 0*t - t))*(3 - 3 + 1) + 3*t**2 - 9*t**2 + 2 + 7*t**2 + 7*t.\nAnswer: 9*t**2 + 7*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 7*w - 260. Is 53 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4101 and 24.\nAnswer: 32808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -127.4 in 0.13, -1, 22?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -27\/22, 4, -95?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 + 0.4. Let x = a + 0.8. Let w = x - 2. What is the smallest value in w, -5, -2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252457?\nAnswer: 252457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4662)\/(-15) + (-24)\/(-20) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o - 3*o + 2*o + 385 - 7.\nAnswer: -o + 378","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.77 and -13.\nAnswer: -23.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 300, 302, 304, 306, 308, 310?\n\"Answer: 2*b + 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1375567?\nAnswer: 1375567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 m when three letters picked without replacement from {p: 6, m: 2}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 9 - 3. Is 2 smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of x**8\/5040 + x**6\/720 + x**5\/60 - 3*x**2. Let f(k) be the third derivative of r(k). Find the first derivative of f(y) wrt y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 23. Suppose 0 = -p - 3*r + t, r - 2*r = -p + 40. Calculate the remainder when p is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 1100?\nAnswer: -1085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.6 smaller than 138584007?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 - g**2 + g**2. Suppose 4 - 11 = -7*y. List the prime factors of r(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 2. Let r be (-1 + 0)*-2 + v. Let j(b) = b**3 + 4*b**2 + 4*b + 4. What is the units digit of j(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*w + 4*l - 3*l, 4 = -2*w - 4*l. Suppose 4*c + 4*i - 20 = w, i = 5*c - 2*i - 49. Solve -4*t + 4*k - 12 = 0, 2*t + 4*k - c = -2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -26*k**2. Suppose -3*q = -5*q - 4*d + 6, -d + 18 = 2*q. Let o(z) = -6 - 5 + q - 2*z. Give w(o(u)).\nAnswer: -104*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 313805 - 27655 = 2802*z - 103328 for z.\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00500306 rounded to 4 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 598 = -2*g - 0*g, -4*p - 2*g = -1178. What is p rounded to the nearest 10?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15901 - 15901 + 115*i.\nAnswer: 115*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132 divided by -3.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r**3 - 23*r + 12. Is j(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4815*h**4 + 5212 wrt h?\nAnswer: 19260*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*(-5 - -7 - 1). Solve -3*z + 6*z + w = -5*s, -3*z - 6 = -s for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6*v = 2*l, 3*l = 0. Let o be 1*(-2 + 0 + -2 + v). Which is the closest to o? (a) 2 (b) -2 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o - 7. Let r be a(-12). Suppose r*p + 4*i = 36, -4 - 20 = -5*p - i. Suppose p*t - 10 = -t. Solve 0 = -3*f - t + 11 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*d + 22*d - 39*d + 37*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3348369845?\nAnswer: 5, 669673969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 510 + -465. Solve -89*a = -80*a + s for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 13 = 2*w, 0 = 2*w - 0*w - 8. Let s be y*5\/((-10)\/(-4)). Sort s, -5, -4.\nAnswer: -5, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-1)\/(-2) - (-10)\/4 and 3*16\/6*1?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 216 + 236 = 8*l, -4*l + 20 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -2 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 674440255?\nAnswer: 5, 37, 3645623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 1840\/3 + 1838\/3*x - 2\/3*x**2 = 0.\nAnswer: -1, 920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.5? (a) 0.1 (b) -611\/17 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28664 = -w - 4*i, -w = -0*i + i - 28643. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20874*i**4 + 5*i**3 + i - 40953?\nAnswer: 250488*i**2 + 30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 + -156?\nAnswer: -16a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h**2 - 2*h**2 + 0*h**2)*(2 + 23 - 8)*(-1 + 1 - 2 + (4 + 4 - 7)*(-2 - 1 + 5) + 2 - 4 + 0) to the form n*h**2 + f*h + v and give n.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2439?\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2376\/(-33) + -31 + 169.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 857, 1720, 2589, 3464?\nAnswer: 4345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - j - 40 = 0, -j = 2*y - 0 - 14. Let k be (-1)\/2*(-1 + -77). What are the prime factors of (12\/y - 1)*k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 126.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 40271398862.5\nAnswer: -40271398864.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -27, -0.6706, 2\/7, -0.5?\nAnswer: -0.6706","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-4) - 7\/(-2). Suppose 0 + 63 = f*n. List the prime factors of n.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 2 + (sqrt(396) + 5)**2 + -3)*-6 + 4)*-6.\nAnswer: 2160*sqrt(11) + 15240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 12:38 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 59*r**4 + 74.\nAnswer: 236*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*s + 162 = -513 for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 215*w + 61. What are the prime factors of o(6)?\nAnswer: 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 1. Let k(n) = 5*n**2 + 14*n + 3. Let l(c) = k(c) - 6*s(c). Let m be l(15). Let f(t) = t**3 + 5*t**2 - 5*t. Calculate f(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 3*s - 4*s - 1)*(-2*s + 3*s - 4*s).\nAnswer: -3*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -1\/6 (c) -24\/7 (d) -0.5 (e) 2.5 (f) -77 (g) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -v + 2. Let s be v - (-5)\/((-15)\/12). Which is greater: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - 17 - (-1 + -3 + 18 - 5)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -v - 2*y, 2*y = y + 4. Let u = v - -50. Is u at least as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, c: 1, t: 7, y: 3, u: 1}. What is prob of sequence uct?\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -114826 - -223757. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (290\/4785)\/(176\/36 + -5)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4490*j + 14 - 8830*j + 4416*j - 14.\nAnswer: 76*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17050393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(((i*i**(-12))\/i)\/i)*i*i)**(-1\/85)*(i**(-11\/2))**39 assuming i is positive.\nAnswer: i**(-36497\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 10\/125993?\nAnswer: 10\/125993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 17*h. Let d(w) = -4208947*w. What is d(f(y))?\nAnswer: -71552099*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -53, -80, -117, -164?\n\"Answer: -5*b**2 - 12*b - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3401811 divided by -7749.\nAnswer: -439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1104274, -4417027, -9938282, -17668039?\nAnswer: -27606298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/49*((-3)\/(-6))\/((31640\/80)\/(-113))?\nAnswer: 6\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 93886 in decreasing order.\nAnswer: 93886, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -2. Suppose 0 = 2*k - 45 - 45. Let i = k - c. What is the common denominator of 61\/4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 149 + -144. Solve s - 5 = -w*y + 5, 0 = 3*s + 5*y for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 2129441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 5*w**2 + 22*w - 625. Give k(-7).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 382 - 638. Let d = t + 663. What are the prime factors of d?\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3065611328 a multiple of 1312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3682, -7438, -11194, -14950, -18706?\n\"Answer: -3756*v + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8022 + -13715. Suppose -a + 0*a = 76307. Let p = g + a. What is p rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -8*h - 93. Let l be p(-16). Solve 0 = l*q - 32*q + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 + -4 + -1)*-3. Let h be p\/(-45) - 2\/(-6). Factor -h*b**2 + 2\/5 + 0*b.\nAnswer: -2*(b - 1)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 91779227 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -980*u = 4483*u - 114723 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 48*u. Let v(m) = -1939*m**2. Determine v(t(y)).\nAnswer: -4467456*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) -1\/21 (b) 1 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 392, 4 in decreasing order.\nAnswer: 392, 4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18245 and 178?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 6*a + 173. Let t be n(-28). Solve 3*f + 0*f + 3*m + 3 = 0, -4*f = -t*m + 31 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*n - 4 = 25*n, 195 = -5*g - 40*n for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*2*((-72)\/63)\/8.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1104\/(-36)*(-72)\/32. What is the greatest common divisor of 3795 and s?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2498*a**3*k - 58682*a**2*k - 2*a*k - 221287728*k - 2 with respect to a.\nAnswer: 7494*a**2*k - 117364*a*k - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.0999926 - 1.1. What is f rounded to 7 decimal places?\nAnswer: -0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 5*s + 13, -75*p - 7 = -70*p - 4*s for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 355785 is divided by 118594?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -403 (c) -1 (d) -1\/35 (e) 0.3 (f) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4567298 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8753015273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 39 - 0?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**3 - 1033895*n**2 + 1033895*n**2.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -144390 and -2\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 a, and 2 m when four letters picked without replacement from {m: 5, a: 4, v: 1, h: 6}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*s**2 - 2*s**4 + 0*s**3 + 21*s**2 - s + 0*s**3 to p + t*s**2 + o*s**3 + l*s + c*s**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -8. Suppose -3*x + w = -x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 4.97. Let x be 9\/24 + 340\/(-10)*2\/96. Which is the smallest value? (a) x (b) y (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**3 + 4*p**3 - 5*p**3 - 8*p**3 - 11*p**3.\nAnswer: -22*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 7 - 3)*(-4 - 7*u + 4)*(5*u - 3*u - 3*u).\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 10:13 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.12 (b) -4\/7 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 489134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*o**2 - 102*o**2 + o**3 + 42*o**2 - 67*o**4 - 1 + 43*o**2 - 3*o to q*o**4 + i + h*o**3 + f*o**2 + r*o and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from uuuuuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 3, e: 17}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -0.5, -0.4, 4\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(31*t**2 + t - 62*t**2 + 33*t**2 + (4*t - 4*t + 2*t)*(2*t + 0*t - t)).\nAnswer: -4*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(5)*-1 + -3*(sqrt(125))**2 + (-5*sqrt(20)\/(sqrt(4) + sqrt(64)))**2.\nAnswer: -368 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 131 + -129. Suppose 0 = c + r*o - 8, 0 = 5*c - 4*o - 0 - 12. Solve -c*i + 5 = 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 28*m**2 + 61*m + 44. Differentiate b(g) wrt g.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + (2 - (6 - (-19 + -2 + 8)))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 24 = 369. What is the remainder when t is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 2*l + 40 = 0, -11*v = -4*l - 901 + 813 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1 + (-7 + 4 + 2)*(-2 + 0 + 0) - 5 - 2 + 1)*(2 - 3*h**3 - 2).\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 0.02 (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (13 + (7 - 18) - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 1\/9 (c) 2 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.4 - -0.9. Let g = 2 + -1.99. Let z = 0.96976 - -0.03024. What is the closest to g in 5, h, z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 6*h**2 + 34*h + 50. Let k(i) = -i**2 - 7*i - 10. Let c(g) = -11*k(g) - 2*v(g). Let m be c(9). Suppose m*y - 43 = 9*y. List the prime factors of y.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3441506957.\nAnswer: 7, 491643851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u + 2. Let r be j(-2). Suppose r*o = 3*o + 12. Solve -o*v + 16 = 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3329237346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -1. Solve 4*g - 3*g = -z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**2\/4 - 3245*g\/2 + 6489\/4 = 0.\nAnswer: 1, 6489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -115\/7 + 117\/7. Which is the closest to 2\/5? (a) 2 (b) z (c) -1\/15 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + j - 3*j = 0, 2*j + 8 = 0. Let w be 0 + (p*-6)\/(-2). Solve w = 3*u + 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/30 and -69\/370.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqr when three letters picked without replacement from lttttrruqdddt.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2394.313 nanograms?\nAnswer: 0.002394313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 13*n - 9. Let g be t(14). Suppose -9 - 31 = -g*s. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 124432.7 to the nearest 100.\nAnswer: 124400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-42)\/12)\/1)\/(-1)*-2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2889 (base 10) in base 2?\nAnswer: 101101001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - d7?\nAnswer: -d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 17 = 3*k, -3*m - 2*k = -7*k - 17. Let z be -9*(10\/(-6) + 2 + m). Let r be 10 - (16\/(2 - z) - -8). Solve -r = -w - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -626*f**2*s + 2056*f**2 - 161023*f*s - 9*f + 1985 with respect to s.\nAnswer: -626*f**2 - 161023*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 158041*a + 158037*a - 316077*a - a**2. Let x(s) = 27*s**2 + 4*s. What is -5*m(p) + x(p)?\nAnswer: 32*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7918006069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 15) to base 5.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kxkkkkkkxkkxkkkkxkk. Give prob of picking 3 k.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 107 - -1?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-3)*(-26 + 23)*(-16)\/140. Put -2, x, -2533 in descending order.\nAnswer: x, -2, -2533","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13015 is divided by 685?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/(-225)*-117 - (73 + -16)*(-87)\/(-381)?\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v**2. Let k be 4\/7 + 36\/(-63). Let m(i) = 5*i**2 - 8*i**2 + k*i**2. Give q(m(y)).\nAnswer: 36*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.28 - 0.22. Let c = b - 2.5. Let n = 1\/167 - -494\/1169. What is the closest to 2\/5 in c, -2\/13, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38915 + -817597\/21. Let u be ((-18)\/(-3))\/(1596\/3021). Let i = u + s. Find the common denominator of -7\/34 and i.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7450167529 to the power of 1\/2, to the nearest integer?\nAnswer: 86314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: Let a = 9 - -27. Solve -c + 1 = u, 4*u - a = c + 3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 16 = 0, 2*m = 4*w + m - 12. Suppose -5*d - h - 2 = -w*d, 0 = 5*d + 3*h + 4. Put 4, d, -5 in decreasing order.\nAnswer: 4, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 37 = 7*b. Sort -1, b, -48 in decreasing order.\nAnswer: -1, b, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 523.4 - 523.1. Which is the closest to u? (a) -1\/3 (b) -5 (c) -1\/19 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -3. Suppose -2*z + 27 = k. Calculate the remainder when 22 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7603, 6404, 5181, 3922, 2615, 1248, -191?\nAnswer: -1714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by -7.\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 283755*j - j**2 - 31 - 283755*j.\nAnswer: -j**2 - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 179 + -177. What is the remainder when (18\/(-8))\/((r + -7)\/1000) is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 261584 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*b + 377 = 19*b - 32*b. Solve 4*n = -b*n - 33 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 156822.2230008 - 156822. Let c = p - 0.223. Round c to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - o - 8 = 0, 1 = 3*t + 2*o. Suppose -3*r + 750 = -3*b, -4*r = t*b - 2*b - 980. Suppose -5*l - 456 = -2*q - 2*q, -2*q = 2*l - r. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + h - 4*h)*(-2*h + 3*h + 2*h) + 3 + 2*h**2 - 3.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.156, -2\/3, 1\/5, 0.4, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -183624 by 7.\nAnswer: -26232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37362 divided by 2.\nAnswer: 18681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/36387?\nAnswer: -2\/36387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 1\/45671056 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 760 and 2040.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 174307 and 2331.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 139*j**3 + 2*j**2 - 1. Let f be u(1). Calculate the greatest common divisor of 20 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -13*i - 2. Give n(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: d8c63 (base 15) to base 5\nAnswer: 134003133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + -3 + -11)*1. Let i be 275\/(-11) + (0 - 0). Let t = h - i. Is t greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -15*b + 8. Let z(s) be the third derivative of -5\/24*s**4 + 0 - 32*s**2 + 1\/2*s**3 + 0*s. What is -3*y(p) + 8*z(p)?\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h**4 + 45*h**3 + 105*h**2 - 440*h - 240 = 0. Calculate h.\nAnswer: -3, -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = 4*t - 135. Suppose -6*k = -21 - t. Calculate the remainder when 76 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/22*(-352)\/(-160). Suppose -2\/5*w**3 + 2\/5*w**2 - z + 2\/5*w = 0. What is w?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -794 - -864 - (-1 - -39).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -3493?\nAnswer: 4\/3493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7596218 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -72 + 72.24. Let f = q - 0.239965. What is f rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358389 is divided by 439.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20 - 5?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*y - 9. Let d(g) = -70*g + 2. Is d(y) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 849663 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25540 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (14*-1)\/(((-1564)\/5865)\/((-8)\/(-3))) + -5\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1500 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 181.\nAnswer: 1810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61721 or -783?\nAnswer: -61721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3724.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2 = -2*d + d, 20 = -5*d. Solve -o*l + 13 = -3*v, 9 = -3*l + 4*l - 4*v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -3*m - 2, 0*m + 5*r + 5 = 5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + (7 - 1 - 1 - -14)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 13*x**2 - 11*x + 11. Let g be (2 + 76\/(-8))*(-8)\/3. Suppose -3*c - b - 38 = 0, 3*c - c - 2*b = -g. Determine w(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114233786 is divided by 206.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 213 + -213. Let m(k) = 16*k + 211. Does 17 divide m(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**2 - 437*i\/3 - 58\/3 = 0.\nAnswer: -29, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33 * -82.9.\nAnswer: -2735.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus -14187?\nAnswer: 14186.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (560\/(-1064))\/((-10)\/95).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26846 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of u**3\/2 - 243*u**2\/4 - 1995*u - 9716. Determine z, given that x(z) = 0.\nAnswer: -14, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*((-1*sqrt(68) - sqrt(68) - sqrt(68))*5)**2 - (1*(-4 + -6*-2*sqrt(68)))**2)*-6.\nAnswer: -32952 - 1152*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4331 or 4330?\nAnswer: 4330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/21))**(3\/10)*(r**(-8\/3))**(-33) assuming r is positive.\nAnswer: r**(3081\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11220011 (base 3) to base 2\nAnswer: 110111110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -22*-32\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 112 - 86. Suppose -22*k - 8 = -s*k. Solve 0*y + k*y + d = 7, 3*y = 3*d + 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/56 - 240\/224)\/(2\/10). Put -1652, 2, w in decreasing order.\nAnswer: 2, w, -1652","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 939.\nAnswer: 2\/313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/18)*r*r**(2\/17)\/r*r\/(r\/r**(12\/7))*r**0\/r)**(-1\/31) assuming r is positive.\nAnswer: r**(-1901\/66402)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -124*o**3 - 11*o**2 + 14*o + 11. Let b(x) = -41*x**3 - 4*x**2 + 5*x + 4. What is -11*b(h) + 4*j(h)?\nAnswer: -45*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1405.7 + 1406. Which is the closest to -1? (a) h (b) -0.3 (c) -102 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.2584 and -754?\nAnswer: -4718.8336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 10) to base 11\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32041 (base 5) to base 15.\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -374.69 - -374.69. Which is the fourth biggest value? (a) s (b) -3\/2 (c) -178 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-185)\/(-148) + 2 + (-306)\/104.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 242, 248, 264, 296, 350, 432?\nAnswer: 548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*y - 90 = -37*y. Does 10 divide (-2694)\/(-10) - ((-21)\/y - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38975.42443 - -38975. What is b rounded to 2 dps?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26\/77 - 1\/11. Suppose 3*j - 2*t - 17 = -7, -4*t - 10 = -j. Let y = -1 + j. Which is the nearest to y? (a) -0.5 (b) m (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 594 - 270*m + 588 + 595 - 1777.\nAnswer: -270*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 4187 divide 256164847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*q - 2\/3*q**2 + 2.\nAnswer: -2*(q - 1)*(q + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-3))\/(3\/45). Solve 10 = -j*w - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - (-9)\/6)*44\/(-6). Let g(p) = -p. Let s be g(-5). Suppose 13 = s*x - 12. Solve x*o - 4 = b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12797)\/(-1528) + (-16)\/2)\/(6\/4). Which is greater: 4966 or x?\nAnswer: 4966","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 1 + 10 + 6*b - 3 - 5. Calculate t(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/((-12)\/352*2) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -126 + 189. Let j = 0.0558 + 62.8442. Let y = j - m. What is the nearest to y in 0, 5, 0.05?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-56*((-3)\/(-108))\/(6\/36).\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p - 3. Let y = -10 + 11. Let t = -7 + y. List the prime factors of k(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dhhhdhd. What is prob of sequence hhhh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 586*j - 888*j - 5365*j to the form a*j + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2230\/892)\/((6\/4)\/(6\/(-16))).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k - 7*k - 14*k + 54*k - 13*k - 13*k + 33*k**2.\nAnswer: 33*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -854850 + -24782.\nAnswer: -879632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 482*g + 146330. Give v(-211).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*o + 5*c + 45 = -212*o, o - 4*c - 42 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 + 15*m. Let k(n) = 7*n**2 - 7*n**2 + n**2. Give k(u(r)).\nAnswer: 4*r**4 + 60*r**3 + 225*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28544017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/10*-3*7\/(28\/(-8)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 1. Solve -8 = v*p - p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c - 3*c + 5*c)*(-21 + 1572*c + 1614*c - 860*c + 21 + 3*c + 2*c - 4*c + (-4*c + 0*c + 2*c)*(1 + 2 - 2)) in the form b + a*c + v*c**2 and give v.\nAnswer: 2325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*u + 6 = -2*k, 4*u = 3*k + 9. Suppose u*f = 4*f + 8. What is the biggest value in 3, f, -1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24*(-80)\/96*63\/(-12)*(-2)\/(-6)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 554 + -556. Let x be (-4)\/(-200)*-5*n. Put -0.5, x, 84\/11 in decreasing order.\nAnswer: 84\/11, x, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 2) + 10 - (-1 + 4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8221?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -44, -40, -36?\n\"Answer: 4*r - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -10 + (2 - 2) + 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12215, 22436, 32671, 42926, 53207, 63520, 73871?\nAnswer: 84266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 181360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1320 by 5.\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7 and -7980.\nAnswer: -7973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3650*d**2*i*y**2 - 2*d**2*y**2 - 9*d**2*y + d*i + 66132*d*y**2 + 795*i*y**2 wrt i?\nAnswer: -3650*d**2*y**2 + d + 795*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -1\/60*c**5 - 41*c**2 + 0*c + 0 + 7\/2*c**4 - 294*c**3. Factor d(w).\nAnswer: -(w - 42)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*b = 78*b + 2 + 1. Put 16, b, 2, -14 in descending order.\nAnswer: 16, 2, b, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q + 0*q - 2 - q**2 + 6*q. Let k(j) = -1220*j + 7327. Let a be k(6). What is n(a)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29882.\nAnswer: 2, 67, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 97 + 43. What is the highest common divisor of 28 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -8*x - 5. What is v(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14\/1327 - -42926\/43791. Let z = 7\/11 - c. Let g be -9 + 9\/180*184. Sort 0.5, g, z in descending order.\nAnswer: 0.5, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34ba22 (base 15) in base 12?\nAnswer: a16428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dnnpdpppnppnnpbnpbpp. What is prob of sequence nnd?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 59528, 59434, 59340, 59246?\n\"Answer: -94*i + 59622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 2:27 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/((-2)\/(-12))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 743.3895 micrograms in nanograms?\nAnswer: 743389.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -5*a**3 - 5*a**2 - 1. Let o(y) = 3*y**2 + 75*y + 71. Let h be o(-24). Let w(j) = j**3. Give h*g(c) - 6*w(c).\nAnswer: -c**3 + 5*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2. Suppose -22 = -5*q - k + 1, 2*k - 22 = -4*q. Suppose q*l - 10 = -l. Let a(x) = -2*x**l + x**2 + 4*x**2 - 5*x**2. Calculate h(a(w)).\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 293 + -286. Let h(i) = -4*i**3 + 7*i**2 - 10*i - 9. Let k(g) = -4*g**3 + 6*g**2 - 9*g - 8. What is d*k(f) - 6*h(f)?\nAnswer: -4*f**3 - 3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 g when four letters picked without replacement from uuguguugguuuuguuggu?\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 122*s - 52. Let y be f(-14). Let l = -1132 - y. What are the prime factors of l?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165436 is divided by 16542.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/7 - 2)*-7. Let v(r) be the first derivative of -2 + 1\/8*r**f - 1\/10*r**5 + 0*r - 1\/12*r**6 + 1\/6*r**3 + 0*r**2. Let v(s) = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1568 - 7*r**2 - 575*r + 4*r**2 + 5*r**2.\nAnswer: 2*r**2 - 575*r + 1568","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -10. Sort r, -5, 1 in increasing order.\nAnswer: -5, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 8 = -5*m, -2*w - 502 + 478 = 3*m. Let k = 542 - 2721\/5. Is m greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 100\/(-55) + 2 - (-18)\/22. Let s(m) = m**2 + 8*m - 2. Let o be s(-9). Suppose -3*g = -k + o. Which is smaller: g or 9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 171, -96, -359, -618, -873, -1124?\nAnswer: -1371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 450\/12 - 1\/(-2).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - -1216. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47700 and 8268?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27496 is divided by 1510?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 644\/(-92)*11\/(385\/90)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002837663831 to five dps.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssssccsscscssc. Give prob of sequence ssss.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dr when two letters picked without replacement from {d: 2, t: 3, r: 1, b: 3, p: 1, v: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2549951 is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 1711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22077, 45311, 68541, 91767, 114989, 138207, 161421?\nAnswer: 184631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = f - 3. Suppose f*g + 5 - 32 = 0. Let y = 16 - g. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (6\/24*6)\/((-120)\/(-368)) and -57\/3485.\nAnswer: 3485","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 9 - 12*r**2 - 1.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.005232 days to weeks.\nAnswer: 5.572176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1573 - 1575 + 214*u + 255*u.\nAnswer: 469*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -347 by -356641.\nAnswer: 347\/356641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3 = -2*s, -s + 4*n + 7 - 21 = 0. Let z = s + -4. Let k = -1 - -2. Calculate the remainder when z is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1749 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -a032 (base 12) to base 6\nAnswer: -212102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 120*s + 464. Give i(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((o*o*o**(2\/13))\/o)\/o)\/o*o)\/(o\/o**(38\/5)))\/((o*o**37*o)\/(o**(6\/5)*o)))**(-10) assuming o is positive.\nAnswer: o**(3906\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 119387 and 1244284?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 3)*(-6 - 6*n + 5 + 6)*(n**4 + 4*n - 4*n).\nAnswer: 24*n**5 - 20*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004563 rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from {r: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4 = -0*v. Let d be (v\/(-3))\/((-1)\/(-15)). Let c be 14 - (d - 3)\/(-2). Solve -p - 2*p = c for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 289487?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*k + 8*k**2 + 69*k + k**4 - 1 + 2*k**3 - 136*k in the form p*k**2 + x*k**3 + f*k**4 + w + y*k and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16340685 divided by -219.\nAnswer: 74615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d - 30. Let l be 4\/8*(-10)\/(-15)*24. Calculate o(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 1 - 17 = 5*k, 3*k = -3*z. What is the common denominator of 115\/14 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 309\/52 - -69\/13. Calculate the common denominator of (-18)\/81 - (-109)\/(-9) and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -924546753*x**4 - 3021208*x + 139 wrt x?\nAnswer: -11094561036*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -3*t - 2*t + 3*n, -t + 4*n - 7 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**3 - 2*j - 94 - 3*j**2 + 24 + 6*j**3 - 9*j**3. What is the tens digit of p(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3700 + 5356. List the prime factors of s.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134, -160, -186, -212, -238, -264?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -39 + 203*v**2 - 19 + 101 + 3*v - 17 - 22 as l*v + g + q*v**2 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x + 3. Let n(s) = -2*s + 6. Let p(g) = -11. Let w(y) = 50. Let v(q) = 9*p(q) + 2*w(q). Let f(r) = n(r) - 5*v(r). What is -9*f(m) + 4*k(m)?\nAnswer: 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 157440079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*g = -131*g - 504. Let c be (-342)\/(-8) - (-2)\/8. Let w = g - c. Calculate the greatest common factor of w and 319.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26433506237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 90 - 206. List the prime factors of (1*s\/6)\/((-14)\/252).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-6))**12\/(y**(-15)*y*y\/y**(2\/31)) assuming y is positive.\nAnswer: y**(3009\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 4\/11, -18712.58?\nAnswer: -18712.58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 6*a**2 - 3*a + 8. Suppose 3*j - 169 = -4*l, 0 = 4*l - 5*j - 134 - 11. Calculate the remainder when q(-7) is divided by l.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 116\/(-159152)*-245*((-2)\/(-1) - (-99)\/(-60))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**38\/r**39 assuming r is positive.\nAnswer: 1\/r","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -128 divided by -2\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 920 divided by 184\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -93814 - -53107. What is l rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118497493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 10.5. What is the closest to 9 in 2\/9, -13, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1912, -7555, -16932, -30043, -46888?\nAnswer: -67467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 682836 - 445869. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bti when three letters picked without replacement from {i: 4, t: 7, q: 5, b: 2}?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/3 + 231\/(-42). Let j(y) be the second derivative of -a*y**3 + 0 + 2*y**2 + 1\/12*y**4 + 3*y. Determine j(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*h - 3*k - 174 = -23*h, -k = 2287*h - 2284*h - 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51707 is divided by 17196?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-six fifths of a meter?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*v - 319*v - 3 + 106*v + 85*v.\nAnswer: -36*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1859489053 to the power of 1\/2, to the nearest integer?\nAnswer: 43122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*l + 1905 = -3*y, 5*l - 3*y = 4776. Let i = 10548\/11 - l. What is the common denominator of (6\/36)\/((-1)\/(-9)) and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75 + -67. Let z(r) = i*r - 2*r - r - 4*r. Let y(o) = 6*o - 281 + 281. Calculate z(y(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 770 + -765. Solve -11 = 2*o - 5*z - 3, z + 20 = -g*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 3, 1, -5, -3\/712 in decreasing order.\nAnswer: 3, 1, 1\/3, -3\/712, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of 109*s**5\/10 - 97*s**2\/2 + 2*s - 10. What is the first derivative of h(m) wrt m?\nAnswer: 654*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {x: 3, h: 8, r: 4}?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 1956074236 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 14.62 and 29?\nAnswer: 14.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7055585 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 23*h - 76 = -41, 2*h = -3*i - 11 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 65, 87, 153, 287, 513, 855, 1337, 1983?\n\"Answer: 4*r**3 - 2*r**2 + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*l + 26461 - 25850 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 3. Suppose -217 = 6*w - 67. Let b = w + y. Calculate the greatest common divisor of b and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 12 = -3*w - 2*g, 5*w = 4*g + 20. Suppose b - 6*b + 24 = -4*y, -3*b + 7 = 5*y. Solve -2*a = b*m - 0*a + w, -10 = -5*a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 94, 98, 90, 64, 14, -66?\n\"Answer: -y**3 + 11*y + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/3, 2, 23\/56, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 + (2*2 - (-54 - -49)). Let q(n) be the first derivative of 0*n**3 + 0*n**2 + 0*n**f + 14\/5*n**5 + 5 - 9*n. What is the derivative of q(h) wrt h?\nAnswer: 56*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*p**(-5)*p\/(p*p**(-7)*p)*(p**(-2\/3))**(1\/7) assuming p is positive.\nAnswer: p**(61\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 164602 and -1.\nAnswer: -164602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4*t**3 - t**2. Let m be c(-1). Let p be ((-35)\/28 - -1) + 21\/4. Suppose r - p*r = -20. Solve -2 = -b + s, m*b + s - r*s - 5 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7364?\nAnswer: 2, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 180933 + -28225423\/156. Find the common denominator of 1288\/735 - 138\/(-644) and z.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 631 divided by 10\nAnswer: 631\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 294\/14*234\/(-18837)\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 plus 387.421815091?\nAnswer: 391.421815091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -15*w + 0 - 9\/20*w**5 + 4*w**2 - 1\/40*w**6 - 7\/4*w**4 + 0*w**3. Factor k(f).\nAnswer: -3*f*(f + 2)*(f + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1350, -1356, -1362?\nAnswer: -1368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 149*v + 14 - 1504 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -81*(0 - (-1)\/(-3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3000308070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4246430 (base 7) to base 15.\nAnswer: a2dae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 8:09 PM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 55*(2 + (-8)\/10). What is the greatest common divisor of 6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + 13 + -6 - -43.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 4:54 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9669 and 395208?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**3 - 5*g**2 - 5*g - 3. Suppose 2*c = -5*z + 22, 0 = -3*c + z + 4*z + 8. Calculate the remainder when u(-3) is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 k, and 1 e when three letters picked without replacement from xehxkxkekk.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 494 = 478. Let i = 167 - l. Solve 3*k + 12 = 3*s, -4*s + 0*s + 25 = i*k for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 12:28 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3*(-2)\/(-6))\/(-1). Let m be (3 - -1) + 2 + i. Suppose 68 = -q + m*q. List the prime factors of q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.2 (b) -0.23 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.143066 to two decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5926 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-18) - 3\/9. Let c = -0.01 - 0.29. What is the nearest to v in c, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75034\/7427 - -194\/1061. Find u such that -a*u + 12\/7*u**3 + 100\/7*u**2 + 0 = 0.\nAnswer: -9, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -4) + (-8 - -9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2331 is divided by 389?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2738286 and 15120?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 737, 2923, 6557, 11633, 18145, 26087, 35453?\nAnswer: 46237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + d**2 + 8*d - 3. Let t be g(3). Let u be -3 + 78\/8*1\/t. Which is the second biggest value? (a) -3 (b) 5\/4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-nine fifths of a millisecond?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five quarters of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20574, 41149, 61724, 82299, 102874, 123449?\nAnswer: 144024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -4, 374\/9, -1 in increasing order.\nAnswer: -4, -1, 1\/5, 374\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(68))**2 + -4 + 1 - ((((0 + sqrt(17))*-3)**2 - (-1 + sqrt(272))**2) + 5).\nAnswer: -8*sqrt(17) + 185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2092, 4165, 6238, 8311?\nAnswer: 10384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 195542 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 268 divide 3084680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 88547 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - 25. Let u(h) be the third derivative of -1\/108*h**4 + 0*h**i + h**2 + 0*h - 1\/135*h**5 - 1\/540*h**6 + 0. Determine p, given that u(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a88b (base 13) in base 4?\nAnswer: -122221000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -1) + -12 + 8 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 135649973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.069 - 0.569. Put q, 4, -4 in ascending order.\nAnswer: -4, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/2 + (-4)\/(-8). Let v be (-8)\/(-6 + f) - -1. Let r be -2 - (1 + -11 + 4). Solve 5*m - v = a + 4*a, -r*m + 24 = a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 - -71. Let n = p - 18. Which is the nearest to 1? (a) 0.6 (b) n (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 17*m = 70. Suppose 0*l + 2*i = l - m, 0 = 2*l - i - 8. Is 17 a factor of 272 + -3 + (-1 - (4 - l))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 18*t + 1. Let i(f) = 3*f - 3. Let g(w) = 10*w - 8. Let c(m) = -g(m) + 3*i(m). Give 2*c(j) + 2*z(j).\nAnswer: 34*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.083, 1.1, 3 in ascending order.\nAnswer: -0.083, 1.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*a = -3*r - 53*a, -2*r = -2*a - 10. Let c be (-4)\/(-14) + 5\/7. Put r, c, -1, 4 in descending order.\nAnswer: 4, r, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(891)*1 - (sqrt(1584) + (sqrt(1584) - (sqrt(1584) + 1 - sqrt(1584))))) + -4 - (sqrt(99)\/(sqrt(108)\/sqrt(108)) + -4).\nAnswer: -17*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 16*q**2 + 19*q - 17. Determine k(17).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1319*a - 2522 = -1332*a. Is 1754\/9 less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 24*p**3 + 9*p**2. Let z(j) = 6*j**3 + 2*j**2. What is -2*x(l) + 9*z(l)?\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10187209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 5064 = 7*y + 3*c, -y = -5*c - 1700. List the prime factors of y.\nAnswer: 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/1*4\/14. Suppose -2*d + p*z = -10, 3*d - 6*d - 5*z + 23 = 0. Suppose -33 = -d*g + 3*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6.2552mg?\nAnswer: 0.0000062552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 184 and 167 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -534 (base 16) to base 8\nAnswer: -2464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265 = 9*j - 589. What is the tens digit of ((-59)\/(-3) + 1)\/(j\/54)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5245627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p**3 - 4*p**2 - 30*p - 4. Is b(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 20*c - 79. Let x be d(5). What is the remainder when 454 is divided by 279\/x + (-28)\/98?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 504 a factor of 56291760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40333046, -80666092, -120999138, -161332184, -201665230, -241998276?\nAnswer: -282331322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27.484999 + 27.485. What is o rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*d - 26*d + 3*d + 978*d**2 + 10*d + 2*d to u*d + z + h*d**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8051?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (7 - 16) + 18 + -19?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 231503562 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 47.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*z = 523*z + 9080 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2301*g + 4354 = 2612*g for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 210?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*c + 79*c + 31 + 19 - 14 - 233*c + 67*c.\nAnswer: -2*c + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggg. Give prob of sequence gggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9160207 - -9160205.19999815. Let p = h - -1.8. What is p rounded to 7 decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -99 - -34. Let t = r - -69. Let l be t\/10 - 26\/65. Solve 2*p + 2*p + 16 = l for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18382, 36767, 55148, 73525?\nAnswer: 91898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence los when three letters picked without replacement from {l: 3, s: 1, o: 11}.\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-6)*b\/b**(3\/4)*b**12\/(b**(-8\/3)*b) assuming b is positive.\nAnswer: b**(95\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 3*r + 5 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3931 + 3930. Sort 1, -0.5, z, 11, -1\/4.\nAnswer: z, -0.5, -1\/4, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32513 + -24?\nAnswer: -32541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165*a**2 - 16*a**2 - 81*a**2.\nAnswer: 68*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 1\/3, 0.114, 33, 8\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-2 + -3*3*-3*sqrt(19) - (2 + sqrt(171) + 1 - (sqrt(171)*1 + 3))))**2.\nAnswer: -54*sqrt(19) + 13852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 229? (a) -0.27 (b) -1\/6 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 37*i + 13. Is v(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6 + 0 + -6)\/(1*-1). Let a = -19 - -22. Suppose 6 = -a*l - 0. Sort l, 4, v in decreasing order.\nAnswer: 4, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/(-6))\/(2\/24*-10). Suppose -1108 = -2*r + f*a, -4*a + 3*a - 2225 = -4*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33627 and 1683?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t + 35531*t**3 - 17760*t**3 + 0*t - 17770*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eoq when three letters picked without replacement from veoweaq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19288569 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.4 - -1.9. Which is the second smallest value? (a) u (b) -0.4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 556472 and 72.\nAnswer: 5008248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15937 - -16041. Is 108 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4982 - -5291. What is the remainder when p is divided by 48?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 898*b**3 + 557*b**3 + 129*b**3.\nAnswer: 1584*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 v when three letters picked without replacement from {r: 1, u: 1, v: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -132.75 - 1.25. Let d = j - -86.9. Round d to 0 dps.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55815 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-17)\/a)\/(a\/(a\/a**2))*(a**(1\/4))**(-1\/4))**(-8\/11) assuming a is positive.\nAnswer: a**(305\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5086 - -5119. Suppose -137 = -5*d + 178. What is the remainder when d is divided by g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/17 (b) -0.16 (c) -2 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 137689471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(1 + -3)*(-1)\/2. Let x(p) = -6*p**2 + 3*p**3 + 3*p - p**3 + o + 2*p**3 - 5*p**3 - 10*p. Calculate x(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p**(5\/9)\/p)\/p)\/p**(1\/43))**(5\/13))**(2\/7) assuming p is positive.\nAnswer: p**(-1810\/35217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 - 15. Find the common denominator of -41\/30 and (122\/t - 2) + 1\/3.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3108 + 11\nAnswer: 10.6892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1483808 is divided by 286.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*w**3 - 24*w**3 - 1 + 18 to the form v + f*w**2 + j*w**3 + b*w and give v.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75 + 74. Let q(f) = 6*f + 6. Let v(z) = -z. Let t(m) = p*q(m) - 9*v(m). Let o(w) = -7*w + 13. Determine -2*o(x) - 5*t(x).\nAnswer: -x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*k**5 - 420*k**2 + 420*k**2 + (8*k**2 + 12*k**2 - 5*k**2)*(-2*k**3 + 2*k**3 - k**3).\nAnswer: 22*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42003987 and 33.\nAnswer: 462043857","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30179 is divided by 196?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z - 1. Let g be s(2). Let k(p) = -p**3 + p**2 + 4*p + 5. Let b(t) = -t**3 + 3*t + 5. Let c(q) = 5*b(q) - 4*k(q). Is 11 a factor of c(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -410011210?\nAnswer: 410011211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*n + 26*n - 101*n + 485*n**2 + 26*n + 19*n.\nAnswer: 485*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.85 - 0.05. Let y = 2 - b. Let a = -0.3 - y. What is the third smallest value in 0.3, a, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 + -304 - (-1 + 1 + (-3 - -6))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z + 16. Let l be j(-11). Solve -6 = -l*n + 2*s, 6 = -2*n - 0*s - 2*s for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*195\/5*((-2)\/11)\/(700\/(-1925))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 144 and 240.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.362, 15891, -5?\nAnswer: -0.362","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 + -25. Suppose 2 = n*l - 0*l. Solve -5*a - 2 + 1 = -3*i, 0 = 4*a - 3*i - l for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 3 - 114. Let q = -34 + j. Solve -4*z + 5 = -q*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7107)\/(-46)*1*(204\/18)\/(-17)?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -3. Let b = 150.14 + -148. Let f = b + -0.14. What is the smallest value in 5\/4, w, f?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/8*9\/54\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 - 52*t - 475. Calculate l(36).\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192983629.\nAnswer: 101, 1910729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 886, -0.06, 1\/5, -2\/5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-1.02.\nAnswer: -0.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -12 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03799 and -2?\nAnswer: 0.07598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.01 - 0.01. Put 1\/3, -2\/7, r, -0.5 in descending order.\nAnswer: r, 1\/3, -2\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 l, and 1 s when three letters picked without replacement from {k: 2, h: 10, l: 2, s: 1, e: 1}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11.395 + -5.605. Which is the closest to 6? (a) y (b) 0.4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllll. Give prob of picking 2 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 85\/30 - (9\/3 + 0)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -6*v - 18. Let i be b(-5). Suppose 6*g - i = 6. Solve p - g*p - 4 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-42)\/(42\/(-6))*27 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 2*b**2 + b - 2. Let a(o) = -3*o**3 - 5*o**2 + 4*o - 6. Let c(h) = 4*a(h) - 11*m(h). Let x be 3 + (0 + 0)\/(-1). Calculate c(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 9) + (0 - -8) + -30?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*r = -26, -4*x + x = -r - 130. Let k = x + -9. List the prime factors of k.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 621*m - 7*m**3 + 737*m - 1358*m.\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*l = 1 - 3, 5*l + 6 = 2*z. Let d be 45\/10 + (-1)\/z. Suppose -d*c + 84 = -2*m, -m - 62 = -4*c - 2*m. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q - 7. Let u be k(5). What is the common denominator of -2 - (1 + 62\/3) and 30\/u*76\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 444\/7, -0.5?\nAnswer: 444\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1001 - 2832 - 2511 = -167*w for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1112220 (base 3) in base 10?\nAnswer: -1131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 divided by -171.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 177 and 37194\/209 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 862*p**2 + 94*p**2 - 2141 - 3175 - p**2 - 57*p**2 wrt p.\nAnswer: 1796*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 1. Let z = -3167 - -47503\/15. Which is bigger: v or z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54942752 and 2264.\nAnswer: 2264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f + 3 - 13*f + 7*f.\nAnswer: -16*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7381 and 1147410?\nAnswer: 12621510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*r = -3, 0 = 3*m + 2*m + r + 1. Suppose -n + 1 - 4 = 2*t, -5*n - 4*t - 39 = m. Sort n, 1, -5 in decreasing order.\nAnswer: 1, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -25*v**3 - 3*v - 3. Is k(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 5*h - 5759985, -2*q = -0*q + 2*h - 3839994. Suppose 3*s - q = s. What is s rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**2*g**(-1\/13))\/(g**(-1\/8))**(18\/11))**(-47))**20 assuming g is positive.\nAnswer: g**(-285995\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, z: 10, j: 5}. What is prob of picking 1 j and 1 l?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i. Let y(u) = 4*u**3 + 24*u. Let p(x) = 44*g(x) - 2*y(x). Find the second derivative of p(j) wrt j.\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -x + 3*n + 1, -4*x + 5*n - 6 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 0.7, -3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.3377 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-3)*(-5)\/10. Suppose o*y - 3*p + 11 = -y, p - 17 = -3*y. Solve -5*k = -3*z + 3, -z + 5*z = y*k - 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**4 + 2*m**4 - 4*m**4)*(-55*m - 8 - 52*m + 106*m).\nAnswer: 2*m**5 + 16*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6761 + -57035.\nAnswer: -50274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 190 = -2*v + 95, -2*x + 698 = 5*v. Let d = -1 - -13. Suppose d*j + v = 17*j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 16*d = -36. Let j = 6 - 9. Is (j - 116\/d)*3 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 12 = -3*w - 4*b, 0 = 4*w - b + 9. Let r(p) = 1631*p. Let f(u) = -136*u. Let m(o) = -35*f(o) - 3*r(o). Is m(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (459 - 461)\/((80\/(-6))\/4). Factor 4\/5*t + 4\/5 - z*t**2 - 4\/5*t**3 - 1\/5*t**4.\nAnswer: -(t - 1)*(t + 1)*(t + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5451865371.\nAnswer: 3, 17, 35633107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 122276835020 to the nearest 1000000.\nAnswer: 122277000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/70)\/((-24)\/56)*1055. Solve -32*q = j - 19 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -22*m - 6. Let c(s) = 5*s - 40. Let k be c(7). What is the remainder when j(k) is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30673141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**3 + i**2 + 2*i + 1. Let a be m(-1). Let c be a + (-1)\/4*0. Solve c*h + 3*b - 15 = 0, -5*h = -6*h + b for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6001672 centuries to millennia.\nAnswer: 0.06001672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 6) + -2 + 1 + 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5291617946 to the nearest integer?\nAnswer: 1743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44257 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.03 - 35.03. Let n = -34.965 - b. Let h = n - 1.235. What is the nearest to -1 in h, -2\/5, 1\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 42 = 5*j, -2*w - 35*j + 32*j = -22. Suppose -w*t = -4*t + 3*z - 100, 3*z = -3*t + 72. What is the remainder when 93 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 2*z + 3. Let n(r) = -3*r**2 + 3*r + 7. Let w be n(-3). Let x = w - -41. Suppose x = -3*m - 4*c - 20, 5*c + 13 = 3*m. Determine p(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573406.2 centimeters in kilometers?\nAnswer: 5.734062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 297631694 divided by -143714?\nAnswer: -2071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z**2 - 3*z. Let o(c) = 9*c**2 - 7*c. Let h(y) = 3*o(y) - 7*w(y). Let g(j) = -2*j**2 + 2*j**2 + 4*j**2. Calculate g(h(b)).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -0.05049856838359\nAnswer: -2.94950143161641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -21. What is the third biggest value in 0.5, -4, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 63271? (a) -3 (b) 0.7 (c) -2 (d) -7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7\/4 + 2. Suppose v = 1, 2*z - 4*z - 3*v + 7 = 0. Let w be ((-8)\/(-80)*0)\/(-1). Which is the closest to 0? (a) w (b) u (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*t - 4*x, x + 13 = 4*t + t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-136)\/(-36)) + (-301)\/(-63).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/32*(-18)\/(-15)*(-6)\/(-21)\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 221 - 119 = 0. What are the prime factors of x?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -388, -960, -1770, -2824, -4128?\nAnswer: -5688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 2. Let h(q) = -2*q**3 + 3*q**2 - 3. Let v(i) = -i**3 + i**2 - 1. Give z*v(a) + h(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 8*z + 3. Let o be g(8). Suppose -w - 4 = -o*w. Suppose 3 + 107 = w*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 2*s**2 + 0*s**2 - 3*s - s**2 + 2. Let q be u(2). Let -g**3 + g + 2 - 3 - 2*g**2 + 3*g**q = 0. What is g?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 10. Let i(y) be the second derivative of 1\/12*y**4 + 1\/20*y**5 + y + 0 - 1\/4*y**2 - 1\/84*y**7 - 1\/12*y**g - 1\/60*y**6. Factor i(m).\nAnswer: -(m - 1)**2*(m + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 219.8 + -247. Let v = -24 - u. Let l = v - 3.18. Which is the nearest to 0? (a) 1 (b) -2\/15 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 12*d + 8 = 8*d, 0 = 4*d - 4. Solve -8*b - 31 = -a*i - 5*b, -3*i = -4*b - 32 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -626, -1223, -1818, -2411, -3002, -3591?\n\"Answer: w**2 - 600*w - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8410, 9060, 9708, 10354, 10998, 11640?\nAnswer: 12280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -36, 21, 78?\n\"Answer: 57*o - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a + 10*a - 5 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 at least -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -215 in -0.07, -3, 5\/7, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 14*w**2 + 14*w + 16. What is j(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 - 713*c - 713*c - 710*c + 2136*c.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 2, -1, -83, -2.5, 0.03 in decreasing order.\nAnswer: 2, 0.03, -2\/5, -1, -2.5, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -2)\/(2\/(-3)) + 6. Suppose -2*n + x*s = 2*s - 88, 5*n + 3*s - 198 = 0. Which is smaller: 41 or n?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 335 + -162. What are the prime factors of a?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355*u = -4*a + 357*u + 68, -12*a + 9*u + 346 = -4*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 11:56 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40114 is divided by 744.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1811 (b) 127 (c) -0.4 (d) 2.6 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.299 in 0.4, -217, 1, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-160)\/(-32)*(-2607)\/(-395)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -519 divided by 3.\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 15456, -1\/4, 2080?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*u**4 + 235*u**6 - 3*u**4 + 1 + 8*u**2 - 4*u**4 - 130*u**2 + 2*u**4 wrt u.\nAnswer: 28200*u**3 + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(160))\/(((2*sqrt(72) - sqrt(72))*6)\/sqrt(9)).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 27.2, 4\/3, 1?\nAnswer: 27.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1520 + 1576 = 7*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 460517429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 507.02 - 506.52. Let h = 0 - 0.2. Put d, 0.4, h, 3 in increasing order.\nAnswer: h, 0.4, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 13*m + 6. Let f(t) = 8*t**2 + 13*t + 76. Let l(r) = 9*r**2 + 12*r + 79. Let c(v) = -7*f(v) + 6*l(v). Let q be c(-4). Calculate k(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 - 124. Let x = u + 90. Sort -5\/7, -2\/5, x in descending order.\nAnswer: x, -2\/5, -5\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-28))\/(((-342)\/(-84))\/(-19))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -15*z**2 - 8812*z + 22361. What is r(-590)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*a - 42*a = 0. Suppose 4*m - 53 + 29 = a. Solve -4*n - m = -10 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 164847 and 30.\nAnswer: 1648470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3.38*-0.08\nAnswer: 0.2704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 8:18 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 1:49 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 8 = 8. Let v(d) = d**3 - 7*d**2 - 9*d - 2. Give v(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -7 (b) -0.1 (c) -4\/5 (d) 12\/253\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 298915?\nAnswer: -59783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-90))\/(1\/2*-1)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or -0.0328427815?\nAnswer: -0.0328427815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 125 - -1279. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2185*j + 152. Let c(v) = -29*v + 2. Let m(s) = 76*c(s) - n(s). Let b(k) = -3*k**2 - 2*k. Give b(m(q)).\nAnswer: -1083*q**2 + 38*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 49, 72, 95, 118?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -15, -2*s + 8 = 4*c + 2. Suppose -2*i + 2*m - 4440 = -6*i, c = m. Suppose -3*g = 5*n - 818, -i = -4*g + 5*n - 2*n. Does 51 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 41*j**2 + 125*j - 2. Let v be y(38). Let g = 1156 - v. What are the prime factors of g?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639894 rounded to the nearest ten thousand?\nAnswer: 640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1704 = -70*t. What is the smallest common multiple of t and 14?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4480*v**5 + 15*v**2 + 2*v wrt v.\nAnswer: 268800*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -7*c - 24. Let k = -537 - -655. What is the remainder when k is divided by c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 18*y + 2. Let u(i) = -12*i + 272. Let w(t) = t - 24. Let f(z) = 6*u(z) + 68*w(z). Determine l(f(o)).\nAnswer: -72*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2389*t**2 - 1999*t**2 - 1870*t**2 + 832*t**2 + 1041*t**2 to the form y*t**2 + k*t + j and give y.\nAnswer: -4385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -20 (b) -4 (c) 0.07 (d) 2 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -202 - -17947a?\nAnswer: 179278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 9) to base 16\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**5\/11 + 196*s**4\/11 - 4600*s**3\/11 - 10000*s**2\/11 = 0. Calculate s.\nAnswer: -2, 0, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58 - -125. Let t = j - 16. What are the prime factors of t?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -2*c**7\/441 + c**6\/45 - c**5\/35 - c**4\/126 + 2*c**3\/63 - c. Suppose g(k) = 0. Calculate k.\nAnswer: -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 701 + 3*o - 1367 - o**3 + 669. Let y = 4 + -1. Determine g(y).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2632534649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 10*d - 770. Give o(77).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6467.5659 + 6467. Let g = 0.34 - 0.9. Let d = p - g. Round d to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.78 - -0.74. What is the third biggest value in -2\/21, p, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -2) + 7 + 1. Let b = -15 + w. Let l(c) = 6*c. Let n(p) = -4*p. Determine b*l(t) - 8*n(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + s - 14. What are the prime factors of n(6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3133*f**2 + 31*f - 4744. Let c(u) = -u**2 - 5*u - 1. Let p(k) = -6*c(k) - o(k). Find the first derivative of p(i) wrt i.\nAnswer: -6254*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2774, 11.\nAnswer: -2774, -2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 232881 to the power of 1\/2, to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -3*z**5\/20 - 1629*z**4\/4 - 884547*z**3\/2 - 480309021*z**2\/2 - 401*z. Factor v(r).\nAnswer: -3*(r + 543)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -2*w + 27. Suppose 0 = -w*z + 5*r + 37, 2*z + r = 4*z - 49. Suppose 3*q + 6 - z = 2*u, -3*u - 27 = -4*q. Solve 4 = -5*h - q, -4*o - 4 = 2*h for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-51)\/66 - -2 - 1 and 87\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 39 and -3.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 162 + -120. What is the lowest common multiple of 48 and r?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*sqrt(11) + -1 + (sqrt(704) - (-1 + sqrt(704)))))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/9 (b) 0 (c) -0.1 (d) 2 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -16*q**5 - 1492*q**4 + 68080*q**3 - 804824*q**2 + 2382720*q + 3257100 = 0?\nAnswer: -517\/4, -1, 7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -48\/13417 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/2*25205\/2485 + 21?\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-1\/4))**(15\/11)*p\/(p*(p\/p**10)\/p*p)*p*p**(-3))**(5\/6) assuming p is positive.\nAnswer: p**(1915\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 524872 is divided by 37490.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -146.00116 - -146. Round m to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-8))\/((-26)\/(-52)))\/(4\/(-160))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -240.7684649 rounded to the nearest 10?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -3*c**3\/2 - c**2\/2 - c. Let b(z) = 3*z**2 - 24*z + 7. Let v be b(8). Let h be (v\/(-35))\/((-3)\/(-15)). What is s(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 10.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2662) - sqrt(2662)*-4)\/((sqrt(14)*-4)\/sqrt(7)).\nAnswer: -55*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b18810 (base 12) to base 9.\nAnswer: -11746603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 2*j**2 - 3*j + 2. Let f be u(3). Suppose -19 = -11*d + 3. Suppose m = f*w - m - 132, -64 = -w + d*m. What are the prime factors of w?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -4*i - 34, 4*j + 0*j = 4*i - 20. Let g be (-696)\/(-72) + (j - -2). Suppose -g*b - 1\/6*b**2 - 32\/3 = 0. Calculate b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 5\/4*-2)\/(55 - 87850\/1600).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28297940*n**2 - 47*n + 45457.\nAnswer: 56595880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3086*w + 2 + 3 + 4342*w + 5912*w.\nAnswer: 7168*w + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16593 + -16640. Suppose -7 = 5*d - 2. Sort d, 0.3, c in descending order.\nAnswer: 0.3, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**4 + 2*d**3 - 80577*d**2 - 3660793*d wrt d?\nAnswer: -24*d**2 + 12*d - 161154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**4\/5 + 6242*b**3\/5 + 785419*b**2\/5 + 25233748*b\/5 + 47375772\/5 = 0.\nAnswer: -61, -2, 6366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 21393\/(-54)*8\/(-10) + 4. Let x = -321 + v. What is the biggest value in x, -0.08, -2\/9, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22.28? (a) -9 (b) -3\/8 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**4\/12 + 279*l**3 - 627197*l**2\/12 + 4937493*l\/2 + 5148792 = 0. Calculate l.\nAnswer: -2, 99, 3152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4570 times 7\nAnswer: 31990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -635 = -79*k + 154*k - 80*k. Solve 0 = k*v - 152*v - 50 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00075809 to 5 dps.\nAnswer: 0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**3 - 2*v**2 + 2*v**2 + (-4*v + 3*v + 0*v)*(2*v**2 + 4*v - 4*v) + v**3 + v**3 - v**3 - 4655*v**3 + 1188*v**3 - 1483*v**3.\nAnswer: -4949*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 45*s**2\/2 + 172*s - 230. What is the first derivative of a(v) wrt v?\nAnswer: 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -52. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, b: 3, c: 7, t: 2, r: 1}. Give prob of sequence btcb.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*f + 5*f - 3*f)*(-1872 + 1128 - 346)*(3 + 0 - 1) in the form s*f + p and give s.\nAnswer: 4360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 7 = -3*t, 2*t + t = -5*h - 5. Suppose -t*o = -4*o - 1. Suppose o - 13 = -3*c. What is the smallest common multiple of 3 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 2*y**2 + 4*y**2. Let t be (-22)\/(-5) + (-3)\/(-5). Let o(w) = 2*w - t*w - 5*w + 5*w. Determine o(u(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 8) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h - 6. Let l(b) = -b**3 + 27*b**2 - 49*b - 29. Let a be l(25). Let m(c) = 3*c + 7. What is a*m(t) - 5*k(t)?\nAnswer: 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 26. Let p = -11 - z. Is -2\/7 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 805*u - 4 + 813*u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.0939 + 0.6939. Put h, -0.1, 22, 4\/3, 3 in increasing order.\nAnswer: h, -0.1, 4\/3, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -230*j - 1024. List the prime factors of h(-60).\nAnswer: 2, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dupccucdud. What is prob of picking 1 u and 1 p?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 - 5*r + 1. Let i(h) = h**3 - 12*h**2 + 41*h - 118. Let x be i(9). What is t(x)?\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/797? (a) 4 (b) -3 (c) 0.3 (d) 2 (e) -7\/4 (f) -2\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4612335911?\nAnswer: 89, 51823999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38373122.\nAnswer: 2, 19, 1009819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*p**4 - 20*p**4 + 10*p**4)*(-3 + 6 - 2) to the form g + u*p**4 + v*p**2 + o*p + a*p**3 and give u.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 94165633 and 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwmqmmqmzmuzmuubmm. What is prob of sequence bw?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -2\/3 (c) -3\/1786 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(320) - (1 + 1*sqrt(320))) + 2 + sqrt(80) + -4)**2.\nAnswer: -24*sqrt(5) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t - 1. Let v be i(1). Let j(s) = 2*s**2 + 3*s - 3. Is 3 a factor of j(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/13 in 0.5, -0.3, 7, -3, 0.1726?\nAnswer: 0.1726","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270*x = 267*x + 24. Suppose 7*b = -x*b + 30. What is the closest to 1\/3 in b, 48, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*u = -2*b + 14, 10 = 3*b + 2*u. Suppose 0 = 2*t - b*t + 42. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - x - 1 = 2*x, -5*t - 2 = -4*x. Suppose -t = -7*r + 6*r. Solve -3*s + 12 = -o, 16 = r*o - 4*o + 4*s for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -282*p**2 + 298*p**2 - 2*p - 1 + 2*p as u*p + h + t*p**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -399, -700, -1013, -1344, -1699, -2084, -2505?\nAnswer: -2968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1108979071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-2\/3)\/m))**(5\/2)*m*m**(2\/23)\/m*(m\/(m\/((m*(m\/(m*m**(2\/5)*m))\/m)\/m))*m)\/m assuming m is positive.\nAnswer: m**(1502\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -10, 2, 53.\nAnswer: -10, 2, 4, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 169\/2 + -1179\/14. Let b be 8\/28 - (-37)\/(-56). What is the nearest to j in 4, b, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 - 38 - 15*d**3 + 83.\nAnswer: -15*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -m - 0*m. Solve 5*c - c = m for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of 2\/7*t**3 - 9*t**2 + 0*t + 0 - 1\/210*t**5 + 1\/84*t**4. Let i(a) = 0. What is a?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, 465, 1656, 3485, 5952, 9057, 12800?\nAnswer: 17181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-21)*b**0)\/(b**(10\/7)\/(b*b**(-4\/13)\/b)) assuming b is positive.\nAnswer: b**(-2069\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.23, -22 in decreasing order.\nAnswer: 0.3, -0.23, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/3)*(i*i**0\/i)\/i*(i\/(i\/i**(4\/9)))\/(i**(-1\/7)*i) assuming i is positive.\nAnswer: i**(-47\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 36*d - 31*d. Let g = -28 + 19. Let j = 30 + g. What is the greatest common divisor of d and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/(-120) - (-3042)\/(-16). Is 19 a factor of (-4)\/((12\/r)\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 3, d: 1, z: 1, l: 1, h: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/4)\/(8\/(-16)). Let n(z) = 103*z**2 + 5*z. Let p be n(v). Calculate the common denominator of 77\/8 and ((-1)\/8)\/(112\/p).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 7 - 2)*(4*r - 2*r + 0*r).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 678283 - 3*b + 678356 - 1356707.\nAnswer: -3*b - 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 10572.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (117\/351)\/(2\/4)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2030610683?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 14*q**2 - 41*q - 14. Give b(10).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**4\/8 + 11*v**3\/2 - 2*v**2 - v - 1. Give a(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -89*y + 612. Let a be x(-16). Which is smaller: a or 2037?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*6\/(-63) + 752726\/238 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -0.4, 13, -52, -11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 1)\/(6 - 4). Let s(g) = 4 + c*g**2 + 0 + 6*g**2 - g**3. Determine s(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2035759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 764 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 11*w**2 - 13*w + 18. Let l be g(12). Solve i = 3*p - 8, 3*i - l*i - 4*p = -28 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 0*d = -3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-250)\/(-70) + 2\/(-28))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 2*i + 1. Let m(k) = -28*k**3 + k**2 + 5*k + 4. Give 2*a(l) - m(l).\nAnswer: 30*l**3 - l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 3:16 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 53 - 131 = -4*h, 148 = 3*h - 2*z. What is the highest common divisor of 6 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -0.5, 4\/83, 0, 2\/5, 1\/10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*z + 17. Which is the smallest value? (a) z (b) -1 (c) 4\/3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 4. What are the prime factors of 7 + (1 - 1) + i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 1\/60*g**4 + 2\/15*g**3 + 3*g + 0 + 2\/5*g**2. Factor y(f).\nAnswer: (f + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b**2. Let m(g) = -9*g**2. Let t(s) = 80*s**2. Let p(c) = -52*m(c) - 6*t(c). Give p(h(a)).\nAnswer: -192*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 + ((-1622700)\/(-9))\/15 a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65264933 is divided by 780.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320 is divided by 315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 - 38*k - 28 + 39*k in the form t + c*k and give t.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 39*w - 396. What is g(-46)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9293 + 23077 = -335*v - 447*v + 284*v for v.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.64 - -1.64. Which is the closest to 1\/2? (a) 2\/13 (b) -4 (c) s (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13242 - 1?\nAnswer: -13243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g**2 - 5*g**2 - 2*g**2 + (3 + g - 3)*(-5*g + 0*g + 3*g) + g**2 + 0*g**2 + 0*g**2 - 249*g**2 + 2*g - 14 - 253*g**2 + 499*g**2.\nAnswer: -6*g**2 + 2*g - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -95*d + 3351. Calculate v(40).\nAnswer: -449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-3)*c)**27 assuming c is positive.\nAnswer: c**135","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, x: 7}. Give prob of sequence sxxx.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 5*z - 1. Let n be j(6). Let q = 5 - n. Suppose q = 4*f + 4*t - 64, 0 = -5*f - 2*t + 22 + 43. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + b + 14, 5*z - b + 11 = 2*z. Let r = 2.89 - 0.81. Let m = 1.98 - r. What is the smallest value in m, -7, z?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -17177, 4, -10 in descending order.\nAnswer: 4, 2, -3, -10, -17177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13441071 a multiple of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -9. Let c(r) = r**2 + 3*r - 8. Let i = 5 + -10. Let y be c(i). Solve -5*f + 4*a = -19, -x*a + y*a - 14 = -4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -24*y + 14. Let i(j) = -5*j + 3. Let p = 290 - 296. Let m(s) = p*b(s) + 28*i(s). Calculate m(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10\/59 - 541\/3540. Let b(z) be the third derivative of z**2 - 1\/12*z**4 - c*z**6 + 0*z**3 - 1\/15*z**5 + 0*z + 0. Suppose b(q) = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 5*j - 22, -6*j + 6 = -a - j. What is the fourth biggest value in -4, a, -0.1, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 3108?\nAnswer: 9324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -700*z**2\/9 - 694*z\/9 + 2\/3.\nAnswer: -2*(z + 1)*(350*z - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-6)\/15)\/(12\/(-870)) is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -513 (b) -1\/32 (c) 1\/5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -11. Let v be 41\/3 - 6\/d. Let l = 29 - v. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (43 - (22 - 9)) - 8.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 2 (c) -233\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 110 + -15 + (5 + 0 + 2 - (-2 + 4))\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 150 by -75129.\nAnswer: -50\/25043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-4))\/((-7)\/(-1204)). Suppose 10*g = 11*g - u. What are the prime factors of g?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 o when two letters picked without replacement from {i: 4, o: 7, h: 7}.\nAnswer: 49\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence svq when three letters picked without replacement from vsciqicgiccsccvscq?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - m - m + 711900041, -5*m = -4*v + 949200070. Let k be v\/21 - (-6)\/21. Let c be 3\/3*1 - k. What is c rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 - 44*w - 50. Let v(n) = -7*n**2 + 176*n + 201. Let m(k) = -9*j(k) - 2*v(k). Solve m(a) = 0 for a.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**5\/2 + 217*h**4\/2 + 847*h**3 + 2311*h**2 + 5025*h\/2 + 1881\/2 = 0. Calculate h.\nAnswer: -209, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 12608*-2.1\nAnswer: -26476.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 441 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 j when four letters picked without replacement from {k: 4, o: 1, j: 4, z: 3, q: 7}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -48? (a) -1 (b) -109 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5137)\/(-9) - (-46)\/207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3 + (5 + 222 - (3 - 4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6*(-2)\/4)\/(0 - 1). Suppose -2*s = z*s - 3*q - 445, -4*q = -20. What are the prime factors of s?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -5*v - 2. Let m(c) = -14*c - 7. Let w(r) = -3*m(r) + 8*n(r). Let j = 25 - 29. Calculate w(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 5 (c) -5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + z = 3*c - 79, -2*c - 5*z - 161 = 0. Let i = c - -33. Let t = 41 + i. Sort 2, -5, t.\nAnswer: -5, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*p**3 - 1483*p**3 - 1610*p**3 + 729*p**3.\nAnswer: -2317*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16018 * 0.06.\nAnswer: 961.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - 12\/(-4)) + 15. Suppose 0 = r - 5*a, 16 = -r - a - q. What is the lowest common multiple of ((-10)\/r)\/(1\/115) and 6?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 29*c**2 - 29*c + 36. Let v be d(-30). Solve 4 = -2*k - 2*b, 3*k - b + v = -2*b for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 623806\/7 or 89115?\nAnswer: 623806\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.09 - -5.09. Let w be 2072\/(-21) - 1\/3. Let g = w - -497\/5. What is the nearest to g in -0.2, s, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 2*f**2 + 4*f - 3. Let b(u) = -u - 6. Let d be b(-6). Suppose -2*s + d*y = -4*y, s + 8 = -2*y. What are the prime factors of o(s)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (141\/(1410\/16))\/(6*(-711)\/135)?\nAnswer: -4\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-55) - (2 + 376\/(-132))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -o**2\/2 + 15*o + 4. Let l be g(12). What is the lowest common multiple of l + (-12 - 2)\/(-2) and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + -4 - (-23 - (-21 + 26 + -17))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 198788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 58 * 71.\nAnswer: 4118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b + 5*b - 5*b)*(250*b - 510*b + 259*b - 29)*(1 - 2*b**2 - 1) to the form w*b + y*b**4 + o*b**2 + l + g*b**3 and give g.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*v - 28*v - 12 = 4*p, 10 = -4*p + 2*v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u. Let t(d) = -d**2 + 4*d + 5. Let s be t(8). Let k(v) = -6*v. Let p(i) = s*y(i) - 4*k(i). Calculate p(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26818707 and 1.4.\nAnswer: -37546189.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -97 - -695?\nAnswer: 5ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -86, -212, -388, -614, -890?\nAnswer: -1216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -416.\nAnswer: 1\/416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -32443, -64891, -97351, -129829, -162331?\n\"Answer: -c**3 - 32441*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 15*m**2 + 14*m + 11. Let o(q) be the second derivative of -q**4\/4 - q**3\/2 - q**2 + 1027*q. Determine 2*l(h) + 11*o(h).\nAnswer: -3*h**2 - 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 37*x - 87. Determine u(34).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/6)\/((70\/315)\/(2\/(-6))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -2 + sqrt(5) + (-4*(sqrt(10)\/sqrt(2) - sqrt(5)) - sqrt(5)))*-6)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 9) to base 3.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*n - 447 = -1839 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.5343195 millennia?\nAnswer: 53.43195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4238422*d**3 + 3*d**2 - 8*d + 1320 wrt d.\nAnswer: 25430532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y - 3. Suppose r + 3*r = -3*i - 5, 4*i = 5*r - 17. Let v(k) = 3*k - 6. What is i*v(x) + 5*h(x)?\nAnswer: x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -20232?\nAnswer: 20233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (0 - 0) - -19. Let u(y) = -61*y + 5. Let w be u(1). Let q = w + 113. What is the highest common divisor of q and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 5:11 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0 = 6. Is 28 a factor of (27 - (-1 + -2))*q*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/3)\/((-4)\/6). Let u = o - -9. Suppose 0 = 4*f - 0*f + u*y + 64, 5*f - 2*y = -45. Put -4, -5, f in ascending order.\nAnswer: f, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226205 a multiple of 740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9 - 92\/12 - 17962\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 661682 is divided by 4626.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -a - 144854, -86898 = -3*x - 2*a - a. What is x rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 594 and 216.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/2 (b) 6 (c) -1 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0, -1\/9, -0.348, 19, 2 in increasing order.\nAnswer: -0.5, -0.348, -1\/9, 0, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a0 (base 14) to base 5.\nAnswer: -1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -688*b - 2087. Let v be q(0). Which is smaller: v or -2088?\nAnswer: -2088","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 6960?\nAnswer: 48720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.1 + 3. Let v = 0.04 - 8.04. Let g = v + 6. Which is the nearest to m? (a) -1\/6 (b) g (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -440 - 64 = -3*s. Let o = 1174\/7 - s. Let q(d) = d**3 - 5*d**2 + 6*d - 5. Let j be q(4). Sort j, o, -0.4 in descending order.\nAnswer: j, o, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 954344 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*d + 32*d + 4*d)*(-1 - 23*d - 1 + 4 + 24*d) to i*d + p + l*d**2 and give i.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/75*5*(-6)\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 806358 is divided by 23033?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 s, and 1 d when four letters picked without replacement from {d: 1, w: 7, s: 1, u: 4}?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4*g = -16, 4*g + 14 = -4*o + 6*o. Which is the fourth biggest value? (a) o (b) -6 (c) 3\/7 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 520000?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -1. Let l(i) = -10*i - 2. Let a(c) = l(c) - 2*u(c). Let q(f) = 2*f**2. Give q(a(r)).\nAnswer: 200*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 25*r - 9952 = 0. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -752 (b) 0.2 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-27)\/6*(-16)\/(-12). Is (-138)\/15*15\/w a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 195 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 + 71. What is the least common multiple of i and (-27)\/(-3) + 4 + (-9 - -2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38 and 67465190?\nAnswer: 1281838610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*i + 774 = 174 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131504 is divided by 2228?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 14309.\nAnswer: 2861.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 56513.\nAnswer: -5\/56513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 29 = -1. What is the smallest common multiple of 22 and d?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -11. Calculate the common denominator of (-230)\/(-42) - s\/39 and 1 + (-2 - 204\/(-99)).\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/7 (b) -1.4 (c) -0.3 (d) 2\/25 (e) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -317 + 47*p**3 + 47*p**3 + 317 - 100*p**3.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/67)\/(v\/(v\/(v\/(v\/(v**(-43)*v))*v))*v))**(-25))**(-38) assuming v is positive.\nAnswer: v**(2547900\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 4:53 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -40170 plus 137921.2?\nAnswer: 97751.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a kilogram in grams?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1065 + -1602. Let s = h + 536. Which is the nearest to -1? (a) 4 (b) 2\/29 (c) s (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -38 - -487691?\nAnswer: 487653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*j + 15*j - 12 - 14)*(1484*j + 1511*j - 2924*j) + 3 - 2*j**2 - 3 as s*j + a + i*j**2 and give i.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146\/18 + (2 + 8)\/((-3435)\/2748).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20.99 and 880.\nAnswer: -18471.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*h - 2*h + 0*h)*(-7 + 3 - 3)*(149*h - 52*h + 61*h) as j + b*h + y*h**2 and give y.\nAnswer: -2212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2744) + sqrt(56) + 1*sqrt(8064) + sqrt(56))\/((sqrt(72) + sqrt(72)*-1*-4)*1).\nAnswer: 28*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -m**4\/4 + 22*m**3\/3 - 9*m**2 - 25*m + 42. Let u be j(21). What is the highest common divisor of u and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40309601\/1149 + (-4)\/((8 + 1)\/3).\nAnswer: 35081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-496)\/160 - ((-2)\/40)\/((-1)\/(-2)). Which is the closest to 1? (a) w (b) 1.2 (c) -7\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7151759 times 7?\nAnswer: -50062313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 + 11*w + 13. Let j be h(-6). Let v = 21 - j. Solve -r = -v*r + 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -16, -3, 26, 77, 156?\nAnswer: 269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 847*b**2 + 2*b - 2. Let w be z(1). Suppose 0 = 4*n - w + 327. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**3 + 62677291*l**2 - 362*l - 62677291*l**2.\nAnswer: l**3 - 362*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1984, -3966, -5948, -7930, -9912?\nAnswer: -11894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29881 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -9*g**2 + 1. Let n(o) = 12057*o. Calculate i(n(s)).\nAnswer: -1308341241*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-2*sqrt(3) + 1 - -4*(sqrt(3) - sqrt(216)\/sqrt(8))**2.\nAnswer: 4*sqrt(3) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -158 + 161. Solve 5 = -n, b*q - n = -0*n - 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b487 (base 13) in base 8?\nAnswer: 150413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1827\/(-14))\/((-42)\/35*1). Is 108 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 586*l**5 + 3396*l**2 wrt l.\nAnswer: 35160*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t. Let m(r) be the second derivative of 0 + 0*r**3 + 13\/2*r**2 - 5\/24*r**4 + 23*r. Let d(i) be the first derivative of m(i). Determine w(d(g)).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(0 + ((sqrt(17) - sqrt(68))*3 + 5)*2))**2.\nAnswer: -120*sqrt(17) + 712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 86 - 36. What is the greatest common divisor of v and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33896 is divided by 1059?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 6:25 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6981 - -6985. Let y(r) = -28*r - 1. Let o be y(3). Sort f, o, -3.\nAnswer: o, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3434570 and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/7 and 21\/443770.\nAnswer: 3106390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*2\/(-2) - -60. Suppose -4*n = -4*u - 312, 0 = n - 0*u + 5*u - h. What is the greatest common factor of n and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, x: 2}. What is prob of sequence txtt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(3\/2))**(-2)*((f*(f**(-3\/10)\/f)\/f*f)\/f)\/(f*f**8*f) assuming f is positive.\nAnswer: f**(-163\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 23 + (8 - 4) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 32*n - 26. Suppose -2*a + 7*w = 2*w, -n = a - 3*w. Solve -13 = a*h - 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 1\/2 - 5\/4*h**2 + 3\/4*h = 0.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 44 in 4\/3, 1\/5, 3\/142033?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*3)\/((sqrt(24)\/sqrt(3))\/sqrt(2)).\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 59*i**2 + 4*i + 3. Let n be k(-1). Suppose -5*y + 8*y = -6. Put 2, n, y in ascending order.\nAnswer: y, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 + (0 - (13 - 34)) + 96 + -1 + -5.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 7*v**2 + 9*v - 14. Let p be d(6). Suppose p*r + 2*r = -84. Let w be (-14)\/(-49) + (-38)\/r. What is the greatest common factor of w and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s. Let x(y) = 11*y - 7. Let b be x(-2). Let l be (-8)\/6 - b\/87. Let u(w) = -w**3 + w**2 + 4*w - 2. What is l*u(k) - 4*q(k)?\nAnswer: k**3 - k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 9 + 13 = 0. Let k(d) be the second derivative of 1\/6*d**g + 0*d**3 + 0 - 1\/10*d**5 + 0*d**2 + 3*d. Factor k(x).\nAnswer: -2*x**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 2*o - 1. Let h be g(1). Suppose 6*d - 220 = h*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1120 and 20?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*z = 23, 13*g + 5*z - 5 = 18*g. What is the units digit of 8\/g - (-852 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 12447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 410348608*k + 516723055 with respect to k.\nAnswer: 410348608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -1\/4, 5, -1\/9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -16*i**2 + 24*i. Let s(t) = t**2 - t. Give -l(c) - 24*s(c).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4552.5287 - -5255.598. Let u = x - 703. What is u rounded to three dps?\nAnswer: 0.069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 4*d**2 + 4*d + 2. Let r(p) = -2*p + 30. Let a be r(0). Suppose -26*i + a*i + 16 = 0. Calculate z(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -708?\nAnswer: -708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 136\/24*(-1 + -1 + 26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 12*m + 4. Let a(c) = c**3 + 21*c**2 + 37*c - 8. Let b be a(-19). Let f be w(b). Suppose 16*u - 753 = f*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290*l - 11743 + 2496 - 2063 = 0 for l.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2866*o + 858*o = -16064 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = 5*c - 15. Let m be 3*(-56)\/(-21) - 1. Sort m, 2, -1, c in descending order.\nAnswer: m, 2, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 r when four letters picked without replacement from {u: 4, r: 6, n: 3}?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 6*t**2 + 117*t - 15. Let l = -17259 + 17239. Give f(l).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3985, 31638, 106697, 252862, 493833, 853310, 1354993, 2022582?\nAnswer: 2879777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, c: 2}. What is prob of picking 2 c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2. Let n(m) = 7*m**2 - 7*m**2 + 30*m**2. Let a(r) = 29*r**2. Let g be (-4 - 204\/(-21)) + 30\/105. Let c(v) = g*a(v) - 7*n(v). Give s(c(y)).\nAnswer: 1296*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**2\/7 - 10543522*j\/7 - 10543524\/7 = 0.\nAnswer: -1, 5271762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3583480, 14333913, 32251302, 57335647, 89586948, 129005205?\nAnswer: 175590418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6600*1\/(9\/6). Let i be l\/3*(-585)\/6. What is i rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 2)\/(14\/28).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 13*j)*(-1 + 1 - 5) + (-6 + 2 + 2)*(0*j + 2*j + 0*j + (2*j + 4*j - 4*j)*(1 + 2 - 2)) in the form h + o*j and give o.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 151020601 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 6 = 2*i, 12 + 2 = 2*i + 2*a for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 10:47 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 508785?\nAnswer: 3, 5, 107, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/210)\/((-2)\/10).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*w**2 + 31*w**2 - 43*w**2)*(0 - 3*w**2 + 0 + (0*w + 2*w + 0*w)*(2*w - 6*w + 5*w)).\nAnswer: -21*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -315*a**2 + 159*a**2 + 154*a**2 - 122*a.\nAnswer: -2*a**2 - 122*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130106542 and 20383?\nAnswer: 1431171962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = u - 2*o + 2, 15 = u - 4*o for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/4)\/((-2)\/634). List the prime factors of 9\/162*15*6*z.\nAnswer: 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g + 20 = 16*g - 4 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dpmmssppsvpmrdmmmdp. What is prob of picking 3 d?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/12 and (1\/202)\/(-91 - -93).\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18761 and 119.\nAnswer: 2232559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 1212167?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -11. Let p(r) be the third derivative of r**5\/60 + r**4\/4 - 5*r**3\/6 + 5*r**2. Let a be p(u). Solve -a*j = -5*j + 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -568 = 64*a - 1784 for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24408771 and 606?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*q - 36*q - 45*q + 2*q**2 + 89 - 40*q + 34.\nAnswer: 2*q**2 + 123","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6668 (base 9) to base 8\nAnswer: 11472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 12 = -15*k + 19*k, -5*k + 46 = -4*p. Put p, -3, -72, -31 in ascending order.\nAnswer: -72, -31, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a centimeter in millimeters?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 16727*s - 16727*s + 33370*s)*(3 - 1 + 3) to the form n*s + o and give o.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 15*h**2 + 15*h - 16. Let o be f(-16). Suppose o = -3*s + 2*s + 22. Let w = -14 + s. Solve j + w = -j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.1665 - -2.9965. Which is the closest to -3? (a) 0.2 (b) t (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -30 - (-53 - -32 - -7 - (-4 + -12))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**2 - 281551570 + 281551570.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -87 + 87.00935. Let n = 20.8 + -20.81. Let u = h + n. Round u to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 81*t**2 - 33*t - 33. Let a(p) be the first derivative of 5*p**3\/3 - p**2 - 2*p - 16. Calculate -33*a(w) + 2*n(w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5971)\/(10 + (-22)\/2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {n: 6, w: 3, i: 4}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 341975 or 341985?\nAnswer: 341975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2167703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000331 rounded to five dps?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1786 divided by -19\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 310761723 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4081\/308 - (13 - (-3 - -3)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -133 * 223\nAnswer: -29659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16230703643\/2500024554 - -1\/4863861. Let a = u - -2\/257. Is a equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -6*(sqrt(13) - ((1 + sqrt(1573))**2 - sqrt(1573) - sqrt(13)) - sqrt(13)).\nAnswer: 60*sqrt(13) + 9439","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h + 6. Let t(c) = -7*c**2. What is t(i(b))?\nAnswer: -28*b**2 + 168*b - 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 83 - 80 = 0. Let p(d) = -d**3 - 6*d**2 - 2*d - 7. Let x be p(-6). Sort w, x, 3, 0 in descending order.\nAnswer: x, 3, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 12:58 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 7:15 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a + 7*a + 6*a - 24*a.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 359.0469 rounded to the nearest 10?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 764 = -2*y + 148, -3*y = 12. Does 38 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.67 and -0.3.\nAnswer: -0.801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (260\/(-20) + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(320)*-1 - sqrt(5)))**2 + ((sqrt(5) - (sqrt(320)*-4)**2) + sqrt(5))*-4.\nAnswer: -8*sqrt(5) + 30605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -452 + 886 - 437 - 180*i.\nAnswer: -180*i - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -556.7 to the nearest 10.\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99413 and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/12*(-48)\/(-9))\/2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.68 to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/2 - 44354*u + 90741555\/2.\nAnswer: (u - 87673)*(u - 1035)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17729, 35429, 53039, 70559, 87989, 105329, 122579?\nAnswer: 139739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2521693 rounded to the nearest one hundred thousand?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 + 2*l + 4. What is f(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 802*c - 1555*c + 901*c.\nAnswer: 148*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**3\/5 - 1152*p**2\/5 + 97312*p\/5 + 407808\/5 = 0.\nAnswer: -4, 108, 472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65.5 + 60.5. Let t = -9.92 + -0.08. Let c = t - -9. What is the nearest to c in 4, i, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - a - 32. Let k = 8 + a. Let d be (-6 + k)\/(-2 - 0). Solve -d*r + 2*r + 4 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22351?\nAnswer: 7, 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j + 18. Let q(c) = 2*c + 17. Let g(k) = -3*q(k) + 2*x(k). Suppose 2*l = -6 - 16. What is the remainder when 27 is divided by g(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 4:28 PM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 - 28. What is the first derivative of 2*l + n*l - l - 2 + 5 wrt l?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*k + 43*k - 12*k - 2*k**3 - 46*k.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 35*h**2 + h - 2. Suppose -78 = 5*o - 28. Let g be -2*2\/(-2)*(-5)\/o. What is the units digit of k(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 27 in increasing order.\nAnswer: 1, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 11*m + 32 = 6*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 1. Let o(p) = -2*p - 3. Let z be o(-3). Differentiate -z - 13*u**4 + 8*u**w + 4 - 3 with respect to u.\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8176 is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34.77 - -34. Let x = -12116.93 + 12118. Let t = x + b. What is the biggest value in -0.4, 4\/9, t?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of c**6\/9 + 2*c**5\/15 - c**4\/6 - 2*c**3\/9 - 4. Factor t(p).\nAnswer: 2*p**2*(p - 1)*(p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 37, 79, 133, 199, 277, 367, 469?\n\"Answer: 6*x**2 + 24*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 - 1110951*w**2 + 102862674360*w - 2159626259952.\nAnswer: 3*(w - 185148)**2*(w - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 26\/4 - (-1)\/(-2). Let l = -8 + k. List the prime factors of 13 - (2*l)\/2.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27 by -30.\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 26, 22, 10, -16, -62, -134?\n\"Answer: -j**3 + 2*j**2 - 3*j + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108987 is divided by 854.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.4, 0.3, -219, -0.16, -0.217?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -148.52 - -148.5200000577. Round p to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-4) + (660\/304)\/(-15)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 0, -2\/23, -7, 15, 0.7?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202082 is divided by 266?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (306\/340)\/(6\/10)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*m = -39, -4*m = r + r - 60. Suppose r*a - 22*a = 6. Solve 2*u + 16 = -5*p + 1, -4*u + a*p + 35 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3213*v + 3146*v - 9540*v + 3183*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -61*a**5\/60 - a**3\/3 + 4237*a**2. Let q(p) = -6*p. What is q(h(d))?\nAnswer: 366*d**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (1 + -10)) + -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 854539 is divided by 1003?\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(88)*-2)\/(sqrt(40)\/sqrt(20)) - (4 + (sqrt(704) + (sqrt(704) + sqrt(704) + sqrt(704) + (sqrt(704) - sqrt(704)*-3 - sqrt(704)))*3)**2).\nAnswer: -254148 - 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -21. Let t be 30\/(-9)*(-2)\/(-6) + i. Factor -40\/9*y - 50\/9*y**2 - t.\nAnswer: -2*(5*y + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-478)\/(-2151))\/(-4*1\/(-288))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6060 - 754*f - 6060 - 352*f - 538*f - 5*f.\nAnswer: -1649*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -184*i + 204*i - 3 + 3 to z*i + y and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -90.5 + -28.5. Let r = q - -269. Let c = r - 82. Is 1 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 k when three letters picked without replacement from {k: 3, y: 7, o: 3}?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**4\/9 + 2537464*c**3\/9 + 804825218984*c**2\/9 - 3219392225216*c\/3 + 3219422675072 = 0.\nAnswer: -634372, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -29*o**2 - 226*o + 325. Let z be x(-9). What is the highest common divisor of 8560 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -577 (base 9) in base 2?\nAnswer: -111011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 105427089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -10. Let o = 349\/21 + -49\/3. Let u = 2.04 + -0.04. What is the closest to o in u, -0.3, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2 + 69*p + 93. Calculate z(35).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5*x + 15 = 0, 2*g = -x - 12 - 7. What are the prime factors of 105\/6*(-8)\/g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 6*o + 5. Let u(n) = -n**2 - 5*n + 5. Let l(y) = -6*m(y) + 7*u(y). Calculate l(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-3 - 0) - (1 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*r - 109063 = -109198 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 5:25 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22912853482 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212 - 208 - 219 + k**2 + 0*k**2.\nAnswer: k**2 - 639","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -33 (b) -3\/2 (c) 498 (d) -5 (e) -0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1702*z**2 - 2686*z**2 + 5182*z**2.\nAnswer: 794*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7671 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-4 - (-9 - 0)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9318790 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 313 + -243. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 270 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/28)\/(70\/(-245))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 104 and 428.\nAnswer: 11128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48880 and 988.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -275 (base 12) to base 16\nAnswer: -179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 4\/7 (b) -5\/3 (c) -356 (d) -2 (e) 3 (f) 4 (g) -2\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1519, -1\/30, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 6:37 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**2\/3 - 19360*y\/3 - 46851200\/3 = 0 for y.\nAnswer: -4840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 8*p. Suppose y - 4*y + 129 = p. List the prime factors of y.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b + 44*b - 3*b + 184 = -3*v + 571, 60 = 5*b for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 619 - 85. Let c = 606 - l. What is the highest common divisor of 32 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41297752.\nAnswer: 2, 5162219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76609*x = -76781*x - 8967 - 1181 for x.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 13*r - 25. Let z(i) = -i + 1. Let q(p) = l(p) + 4*z(p). What is the hundreds digit of q(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -53*f + 50*f, -4*c = 3*f - 70. Let g = 18 - c. Calculate the highest common divisor of g and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4*w**3 + 6604*w**2 - 6521*w - 130353. Determine o(1650).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 335730319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 25*j**2 + 26*j - 36. Suppose 5*q - 3*o + o = 124, 3*o - 90 = -4*q. Let s be d(q). Suppose t - 38 - s = 0. Is 25 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*v + 52*v - 5 - 15 = 5*h, -v = -5*v + 29*h + 17 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -993, -3968, -8923, -15858, -24773, -35668?\nAnswer: -48543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 2*u - 7. Let l = -34 - -60. Suppose l = 2*t - 18. Calculate the remainder when t is divided by z(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001861849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, d: 5}. What is prob of picking 1 c and 1 d?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1464152 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 189 divided by 486\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136 and 2458132?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 854690.\nAnswer: 2, 5, 85469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 457*i - 4121. Give l(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 20 = -c - 3, 27 = c + 5*x for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 1710*i + 2. Let b(l) = 2*l**2 + 30*l - 1. Let w(g) = 7*g**2 + 120*g - 4. Let m(q) = -4*b(q) + w(q). What is a(m(d))?\nAnswer: -1710*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -731 - -880. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a microgram in nanograms?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1143990 to the power of 1\/3, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6501?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 9*w**3 - 15*w**2 + 11*w - 23. List the prime factors of z(5).\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3297 - -5935. List the prime factors of n.\nAnswer: 2, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b440 (base 14) to base 3.\nAnswer: 21102122111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h - 15. Let l be d(-7). Let p(g) = -2*g**3 - g**2 + 1. Let r be p(l). What is the second derivative of -13*v**2 + r + 20*v - 2 - v wrt v?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, p: 6}. What is prob of sequence pss?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11224874 and -0.1.\nAnswer: 1122487.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 400279846 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.188 rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 251207*k**3 - 2*k**2 + 5155237*k + 2 wrt k.\nAnswer: 1507242*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.4 - 6. Let o be (-11)\/(55\/(-20))*(-4)\/(-16). Sort 0, k, -1\/3, o in decreasing order.\nAnswer: o, k, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-4))\/((-4)\/(-24)). Let j(g) be the second derivative of 0 + 1\/4*g**4 + 3*g + 0*g**2 - 1\/6*g**i. What is the second derivative of j(r) wrt r?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 255130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93 and 57036621?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8 - (2 - (19 - 7)). Find u, given that 0*u + 0 + 2\/5*u**4 + 2\/5*u**3 - 2\/5*u**5 - 2\/5*u**h = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 2*p = -41, -473*z - 5*p + 137 = -469*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2275116 is divided by 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - u - 2 = 0, -4*u + 7 + 13 = 2*q. Let c(o) = -3*o**2 - o + 2. Let b be c(q). Let h be (-4)\/(-8) - (-10)\/b. What is the smallest value in 4, 0.5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13.74 + 0.26. Let o = x - 11. Let g be (-4)\/(-30)*(87 - 90). Which is the smallest value? (a) -2 (b) o (c) g (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(133)\/(sqrt(21)\/sqrt(3)))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11740, -11739, -11738, -11737, -11736?\nAnswer: -11735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 14) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 608.07088511\nAnswer: 614.07088511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 402300 (base 11) to base 8.\nAnswer: 2360075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 g when two letters picked without replacement from sjassjsssxssgsz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 7 = 22. Suppose -l*z + z + 44 = 0. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83\/120 - 1\/40. Let r(d) = -d**3 + 12*d**2 - 8*d - 33. Let a be r(11). Factor 2\/3 + a*w - x*w**2.\nAnswer: -2*(w - 1)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + 2 - (241 + -20 - 265)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12.39? (a) 2 (b) -13 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_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: Round -0.000050893 to six dps.\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 9*h - 984. Suppose 4*i - 4*z - h = 0, -5*i = 2*z + 2*z - 446. Does 24 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 211674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2492*h. Let z(i) = -2*i. Give g(z(f)).\nAnswer: -4984*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(1\/3)*f*(f*f**11\/f)\/f)**(1\/80))**(-7\/6))**(-1\/7) assuming f is positive.\nAnswer: f**(17\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1073146 to the power of 1\/2, to the nearest integer?\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -556 + 651. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2207*q - 2196*q - 1375*q + 1959*q.\nAnswer: -3819*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -111456 to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/((sqrt(36)*4)\/sqrt(3) - sqrt(12)) - ((sqrt(11) - (2 + 1 + sqrt(11) + sqrt(11))) + sqrt(11) + sqrt(11) + sqrt(275) + 2))**2.\nAnswer: -34*sqrt(11)\/3 + 3188\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 0. Let s = r - -8. Let k(t) = t + 4. Let v be k(-3). Sort v, s, -5.\nAnswer: -5, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -918000 rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -q**6\/30 - q**5\/30 + 8*q**2. Find the third derivative of h(d) wrt d.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -740593 (base 10) to base 14\nAnswer: -153c77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -36*c + 37*c - 32, 30*g + 48 = 26*c + 36*g for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = -0*x + x - 5*t, 0 = -5*x + 5*t + 495. Suppose -57*y + 481 = -2939. What is the highest common divisor of y and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41815974.\nAnswer: 2, 3, 1823, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6819, -9.9718 in descending order.\nAnswer: 6819, 4, -9.9718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than or equal to -10\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.03 + 5.97. Let r = 0.86 + -9.86. Let m = l + r. Sort -1, 5, m in descending order.\nAnswer: 5, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10328 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: What is 709 minutes after 10:06 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.7 + 0.2. Let d = -11 + 34\/3. Let u(r) = -2*r. Let j be u(1). Which is the closest to d? (a) s (b) 0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*c**3*d*v + 2*c**3 - 6241*c**2*d**2 - 12*c*d**2*v + 7*c*d*v wrt v.\nAnswer: -6*c**3*d - 12*c*d**2 + 7*c*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 120 = -0*a. Let b be 6\/15 + a\/(-15). Solve 0 = -5*x - 3*t + 24, -3*x = -b*x + 2*t - 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bppiu. Give prob of sequence pbi.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0*n = n + 32, 0 = -3*r + 5*n - 2. Let l = -6 - r. What is the first derivative of 3 - l*p**3 + 6*p**3 - p + p wrt p?\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**8\/1680 + k**6\/90 - k**4\/2 - 2*k. Let l(v) be the third derivative of z(v). What is the second derivative of l(a) wrt a?\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12*6\/12 - -1)\/(308\/22).\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 218719, 437449, 656179, 874909, 1093639, 1312369?\n\"Answer: 218730*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d = 5*d + 4260. Let l = d + -295. Suppose -2*c + l = -47. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q**4\/78 + 2*q**3\/13 + 24*q. Let w(t) = 0. What is t?\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v + 34. Calculate p(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(-3\/7)*c\/(c\/c**(-6))*c**(-6)\/(c**(-2\/7)\/c)*((c\/(c\/(c*c**1))*c)**(1\/14))**40 assuming c is positive.\nAnswer: c**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (y**2 + 2*y**2 - y**2)*(-1 + 1 + 3*y) - 3*y**3 - y**3 - 5*y**3 + (-4 + 3*y + 4)*(2*y - 2*y - 2*y**2) as g*y**2 + l*y + u + d*y**3 and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3340 - 3184025.512?\nAnswer: -3187365.512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 846 divided by 282.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1445943 is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) - (0 + sqrt(288)))**2 - (sqrt(2)*-1 + -3).\nAnswer: sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k*k**(-2\/11))*k*k*k*k*k**(2\/13)*k*k**(1\/13)\/k**(-2) assuming k is positive.\nAnswer: k**(1060\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 71?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34.91 + 0.09. Let f = h - 34. Which is the closest to f? (a) 0.3 (b) -3\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 4 = 0, 4*f - 4*j - 16 = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) 1.1 (c) 1\/25 (d) 2\/17 (e) 0.088\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qiqqqqiq. What is prob of sequence qqiq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (44\/12 - 4)\/((-3)\/18). Let k(i) be the second derivative of -2*i + 1\/3*i**3 + 0*i**s + 0. Calculate k(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, m: 1, e: 3, u: 3, f: 1, g: 1}. What is prob of sequence gez?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 19*f**2 + 1. Let x be s(7). Let l = 1761 - x. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 15 = -7*j, -5*b + 39 = 3*j. Let g be (-5 + 5)*(-2)\/b. Solve -2*o + 3*m - 5 = g, 3*o = 7*o + m + 17 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-43\nAnswer: 8.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1284276.0936 - 0.3.\nAnswer: -1284276.3936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.37, 54, -0.2, -13.93, -1?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9457803 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 325 - 262 = -3*c, 3*r - c + 44 = 0 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100111000010000101000000111 + 0?\nAnswer: 10100111000010000101000000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(7) + 0)**2 + sqrt(21)\/sqrt(3)*1 + -5.\nAnswer: 2 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.06 + 0.46. Let b = 98.795 - 99. Let v = -0.105 - b. What is the nearest to v in -1, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z**(-3\/2)\/z)\/z*z)**(12\/7)\/(z*((z\/(z\/(z\/(z\/(z\/z**9)))*z))\/z)\/z*z**(3\/4)) assuming z is positive.\nAnswer: z**(187\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 43476869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 6*z. Suppose f - 10 = 2*f + 4*n, -5*f + 46 = -4*n. Let r(s) = 5*s. Let h(x) = f*d(x) - 7*r(x). Let v(i) = 11*i. What is v(h(a))?\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 6412.\nAnswer: 32060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 304, 1, 0 in decreasing order.\nAnswer: 304, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.3617 + -0.1.\nAnswer: -4.4617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 7*j**2 + 7*j + 9. Let v be r(-6). Let b be (v\/(-5))\/(3\/(-15)). Suppose b*s + 30 = 3*t, -2*t + 1 = -5*s - 13. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 46*h = 43*h + 8, i - h = -3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5692 times -8.06?\nAnswer: -45877.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 19*n**2 + 2*n + 2. Let z(f) = -65*f + 70*f + 39*f**2 + 20 - 15. What is 5*h(r) - 2*z(r)?\nAnswer: 17*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 1. Let b(s) = -3*s + 3. Let p(r) = b(r) - 2*h(r). Let l be (-1)\/2 + 30\/(-80) + (-207)\/(-72). Determine p(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 3 = 0, 2*y = 2*w + 69 - 77 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1805633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + d + 1. Let y be (-22)\/5 + 4\/(-60)*9. Let l(s) = -6*s**2 - 14*s + 5. Let r(a) = y*f(a) - l(a). Give r(-7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112020002011110 (base 3) to base 10.\nAnswer: 7559850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3145 and 1775480.\nAnswer: 65692760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 32286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -8264.6 to the nearest 100.\nAnswer: -8300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 1:48 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y. Suppose 5*u + 3*i + 2*i + 5 = 0, -4*i = 5*u + 3. Let b(q) = -2*q**2 + 2 - u - 1. Determine x(b(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 6*x**3 + 4565. Let r(l) = 173*l. What is t(r(h))?\nAnswer: 538722*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 4. Suppose 2*p = 4*h - h - 2232, r = -h + 5*p + 757. Is h a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - 13.2. Let n = -12.99991 - y. What is n rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106334371 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 51*h**2 + 21*h. Let j(k) be the first derivative of k**2 + 0*k + 57 + 5\/3*k**3. What is -42*j(x) + 4*q(x)?\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/15)\/u*u\/u**(-11))**(-47) assuming u is positive.\nAnswer: u**(-7802\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 565, 2321, 5239, 9301, 14489, 20785, 28171, 36629?\n\"Answer: -3*w**3 + 599*w**2 - 20*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17094 - 9984. Is 45 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**6\/144 - 133*t**4\/12 + 5*t - 28. Let p(m) be the third derivative of s(m). Let j(r) = -4*r. What is p(j(d))?\nAnswer: 20*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.028 - 367193.4316095.\nAnswer: -367193.4036095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6435457 to the nearest integer?\nAnswer: 2537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6496 a factor of 7931616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/41)\/k*k)**(-43)\/((k*k**(6\/5))\/k*k)**(-15) assuming k is positive.\nAnswer: k**(1267\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 490, 938, 1398, 1876, 2378?\n\"Answer: z**3 + 441*z + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 158300\/225 + 8\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*z**5 + 5258*z**4 - 3*z**2 + 2529*z.\nAnswer: -120*z**2 + 126192*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cnnjrc. What is prob of picking 1 c and 1 n?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/((a**(-1\/4)*a*a*a)\/a)*a)\/a)**(2\/43)*a**(-1\/6)*(a**(-5\/2)\/a)\/a)\/((a**0\/a**(-2\/15))\/((a*a**(2\/15)\/a*a*a)\/(a**(-4\/9)*a))) assuming a is positive.\nAnswer: a**(-2521\/774)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -42 (b) 0.3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + 9. Let j(a) = 26*a - 173. Calculate the remainder when j(c) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -6.98. Let l = w - 0. What is l rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w - 35*p + 32 = -4*w - 32*p, 4*w = -3*p - 8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*r = 0. Suppose -3*j - 2*j = r. Let c = 6 + j. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -10*a - 30. Let u be m(-3). Solve 0 = -u*c + c + 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 4*o + 5*l = 0, 3*l = 0. Suppose o = 4*a - 3 + 7. Is 2\/21 at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1076 (b) -0.09 (c) -1 (d) 1\/5 (e) 2\/7 (f) 3\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2. Suppose 6*l - 5*l - 26 = 0. Let h(m) = -12*m**2 + l*m**2 - 19*m**2. Calculate d(h(c)).\nAnswer: 50*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*j - 8 = 1, 3*n - 7 = -4*j. Suppose 0 = n*u - 289 + 1099. What is the lowest common multiple of (2\/(-6))\/(6\/u) and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/5)\/((-12)\/40).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126 - 16*v**2 + 6*v**2 - 224.\nAnswer: -10*v**2 - 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18877\/193 or -97?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 17, -1, -50, -0.147?\nAnswer: -0.147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 - (-37 - -102 - 7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-18 - -6 - -7) + -1 + 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -259, -1220, -3835, -8932, -17339, -29884?\n\"Answer: -138*y**3 + y**2 + 2*y - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2031\/(-15))\/(9\/(-45)). Let a = -51 + u. List the prime factors of a.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -0.5 (b) 2 (c) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 11 = -131. Calculate the common denominator of 5\/b*(-81)\/(-2) and 4\/(-14) + 297\/(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -5 (b) 2\/167 (c) 7 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*z**2 + 4*z**2 + 11*z**2 to the form g + y*z**2 + n*z and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -123 and 5493.\nAnswer: 5370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 - (-2)\/(-6)*0. Suppose 58 = 7*l - 61. Suppose -3*i + 0*r = 2*r - l, -4*i = 2*r - 24. What is the greatest common factor of t and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 19*h**5\/30 - h**4\/6 - 65*h**2\/2 + 50. Let u(i) be the second derivative of b(i). Let c(n) = 2*n. What is c(u(j))?\nAnswer: 76*j**2 - 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -883450 (base 9) to base 13\nAnswer: -1560c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 332350, 664712, 997074?\n\"Answer: 332362*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.95 - 118.05. What is the closest to -2\/7 in m, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 5*a + 3. Suppose 4*h - 8*h = 20. What is the remainder when 7 is divided by d(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -96? (a) -0.5 (b) 0 (c) 0.3 (d) -4 (e) -49 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 126 + -130.4. Let l = t - -2.4. Let q = 0.35 + -0.4. Is q at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15330 = 65*t - 35*t. What are the prime factors of t?\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.9 - 0.1. Let k = n + 10. Let x be 1\/(-1) - 26\/(-30). Which is the nearest to k? (a) x (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x**3 - 5*x**2 + 2*x. Let r(s) = -s**3 + s**2 - s. Calculate 2*k(b) + 10*r(b).\nAnswer: -2*b**3 - 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 15, -3*f = j + 3*j - 15. Let v be ((-7)\/3)\/(2\/j). Let m be v\/(-1)*(2 + -1). Solve -18 = -5*c + m for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1343 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: Calculate the remainder when 2841 is divided by 109.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 5:40 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**2 - 2478690*y - 7436115 = 0.\nAnswer: -3, 495741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7840195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.45 - 95.45. Let t = v + 57. Let z = t - -38.0061. What is z rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzqqzqqqqzszqqqqq. Give prob of picking 1 s and 1 q.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 26*q - 19. Let w(i) = -10*i**2 - 274*i - 189. Give 2*w(f) - 21*x(f).\nAnswer: f**2 - 2*f + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7117 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03189519761 to five dps.\nAnswer: 0.0319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-54) - (161\/252 + -1). Let b(r) be the third derivative of -j*r**5 + 0*r**3 + 9*r**2 + 0 + 0*r + 1\/8*r**4. Find the second derivative of b(d) wrt d.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4226687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 210, -4, -3161 in increasing order.\nAnswer: -3161, -13, -4, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l - 33. Let f be o(0). Let q be (f\/(-2))\/((-4)\/(-8)). Suppose -4*c + c + q = 0. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223013903 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**4 - 8*r**2 + 8*r**2 + (0 - 2*r + 0)*(-2*r**3 + 3*r**3 + r**3) - 1545*r**2 + 1545*r**2 - 768*r**4.\nAnswer: -770*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, 171, -3, -24, -1 in descending order.\nAnswer: 171, -1, -3, -24, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**3\/9 + 2038*l**2\/3 - 4078*l\/3 + 6118\/9 = 0.\nAnswer: -3059, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -4, -1\/2, -6, -4\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -66 + 66. Suppose o = 4*g, -4*g - 21 = -h - 2*g. Suppose 19*a = h*a - 304. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 + -1041?\nAnswer: -1051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*l + 0*l + 19*l + (-2 - 1 + 5)*(-5*l + 145*l - 18*l) to the form s + w*l and give w.\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (1 + 1)) + -3 + -1 + -6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, v: 4, x: 10, n: 1}. Give prob of sequence vv.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -6*c + 3*c. Suppose -4*m = o + c, -m = 4*o + o - 3. Solve n - o = -0*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-7)\/i))\/i**0)**24\/((i\/(((i\/i**(-2\/7))\/i)\/i))**46\/(i**(-1\/2)\/i**4)) assuming i is positive.\nAnswer: i**(1857\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/7 in -18, -2\/807, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 255697740 and 295?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a tonne in kilograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 3.9. Let r = -9.4 - -4.4. Let f = -1.157 - -2.157. What is the nearest to f in u, r, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 12844846.\nAnswer: 2\/6422423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 2*z**2 - 196*z - 8. Give t(15).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**2 - 50*q + q**2 + 50*q.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhyyyyrztyzyhyztzzzy. What is prob of sequence tr?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12390813 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14 + -8 + (-4 - 3). Which is the fourth smallest value? (a) 0.05 (b) 1.3 (c) 2 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u**3 - 12*u**2 - 78*u + 27. Calculate d(-5).\nAnswer: -383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -7*r - 5. Let a(i) = 832*i**2 + i - 71. Calculate a(t(s)).\nAnswer: 40768*s**2 + 58233*s + 20724","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n + 9*n + 31552 = 0. Suppose -224*y = -228*y + n. What are the prime factors of y?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -18, 3, -2\/9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28 - 34 - 176*m - 86*m + (-1 - 1 + 0)*(-4*m - m + 3*m).\nAnswer: -258*m - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 126 divided by 9570\nAnswer: 21\/1595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1225368 divided by 81.\nAnswer: 15128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**2 + 4*j. Let n be q(6). Let k(y) = 6*y + 7. Let v be k(-5). Let p = v - n. Is p a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 0 - (-45 - -47) - 5) + 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1892 is divided by 590?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5031 - 1562?\nAnswer: -6623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 87576 a multiple of 178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/7 + 10*x**2\/7 + 4*x\/7 - 40\/7.\nAnswer: -(x - 10)*(x - 2)*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 236197164.19?\nAnswer: -236197162.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -37*r**3 + r**2 + 37*r - 1. Let n(b) = -19*b**3 + b**2 + 19*b - 1. Let v(a) = -3*g(a) + 5*n(a). Factor v(d).\nAnswer: 2*(d - 1)*(d + 1)*(8*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -12. Let k(o) = -o + p*o - 1 + 0. Let h(u) = 0 - 7*u + 3*u - 5. Give h(m) - 6*k(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 2*c + 48. Let q = c - -48. Suppose q*y + 3 = 4*y. Let w(s) = 7*s**2 - 2*s. Let r(g) = -4*g**2 + g. Calculate y*w(b) - 5*r(b).\nAnswer: -b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1626458t in micrograms?\nAnswer: 162645800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 88*k**2 + 138*k + 9. Let f(n) = 2*n**2 + 3. Let x(q) = -6*f(q) + 2*s(q). Find the second derivative of x(a) wrt a.\nAnswer: 328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/12 + -2*2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75)*2 + 0)**2 - (-3 + (sqrt(3) - (sqrt(3) - (sqrt(27) + -2))))**2)*2.\nAnswer: 60*sqrt(3) + 496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.038674 rounded to 4 decimal places?\nAnswer: 0.0387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.977755 - 0.059428.\nAnswer: 2.918327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**5\/3 - 764*o**4 - 2290*o**3\/3 + 764*o**2 + 2291*o\/3 = 0. Calculate o.\nAnswer: -2291, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/207 + -136\/207. Put 5, 1\/4, 2\/17, b in decreasing order.\nAnswer: 5, 1\/4, 2\/17, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1084385 (base 9) to base 3.\nAnswer: 1002211102212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r = 5*a - 12*r + 22, -2*r - 16 = 5*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5499, -11126, -16753?\nAnswer: -22380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3b1d + -65?\nAnswer: -3b83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (9 + -14 + 5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5873 + 11781. Does 9 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 6\/13, -5, -2\/31, -0.01, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 5:17 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/7)\/((-2)\/28). Suppose 5*u - 2*s = k, -3 = u + 4*s + s. Solve -u*t + 0 = 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -517*s + 520*s = 3. Put 4, s, 58 in decreasing order.\nAnswer: 58, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17207 + 17207 + 3*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6776 and 84392?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1712705 = -39*j + 6409826. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(39)\/sqrt(3))**2 - sqrt(13)) + 3 - sqrt(13)) + -2.\nAnswer: -2*sqrt(13) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 - 2*s + 13. Suppose 398 - 1668 = -669*z + 1406. Give g(z).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -34\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.14 + 0.2. Let w = r + -0.16. What is the nearest to w in 0.9, -2, 3?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 - -62. Let u be -4 + 7 - d*1. What is the closest to -1 in -2, u, 1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**2 + 2600395808*p - 422628647391498304 = 0 for p.\nAnswer: 325049476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -4*s**3\/3 + 1. Let c(i) be the first derivative of 0*i**2 - 1\/3*i**3 + 13 + 0*i. Calculate c(r(l)).\nAnswer: -16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (17 - 10) + -9 + 2. Which is greater: 2\/119 or i?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/3)\/(-42*(-12)\/108). What is the closest to 1 in 0.04, j, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 143*f**2 - 4*f + 2. Let x(q) = q**2 + 2*q. Calculate -x(h) - z(h).\nAnswer: -144*h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -137 by -459.\nAnswer: 137\/459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qfqgffofgfqtqqfgtft. Give prob of picking 3 g and 1 q.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 2*j + 2. Calculate the common denominator of (57\/6)\/(j\/4) and (-142)\/(-16) - (-3)\/12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b + 5. Give a(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -285204 or -285203?\nAnswer: -285203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16522104679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(30\/(-4))*-5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 21, 52, 91, 138, 193, 256, 327?\n\"Answer: 4*l**2 + 19*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v - 10*v + 19*v**2 + 6*v - 3 + 0*v + v**4 to the form p*v + r + t*v**2 + n*v**3 + z*v**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136313 and 503.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -458 - -458.00000371. Round p to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -11*v**3 + 1084*v**2 - 2*v - 5. Let s(n) = -5*n**3 + 542*n**2 - n - 2. Determine 2*h(y) - 5*s(y).\nAnswer: 3*y**3 - 542*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3664169 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11325)\/354 + -39 + (-5751)\/(-81).\nAnswer: 1\/118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - p + 1. Let y(j) = 2*j**2 - 6*j + 2. Let l(d) = -3*o(d) - y(d). Let i be (-368)\/(-460) + (-98)\/10. Give l(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.11 + 2.11. Let d = -9 + 7. Which is the nearest to r? (a) 0.4 (b) 0.3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/4)\/(g\/(g**(-2)*g)))\/(g**(1\/6)*g**(-1\/4)*g) assuming g is positive.\nAnswer: g**(-19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 66821 (base 10) in base 14?\nAnswer: 1a4cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sp when two letters picked without replacement from {r: 1, p: 9, s: 9}?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*v - 10. Suppose -v*z = 5*y + 74985, -4*z = -8 - 4. Round y to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4874 plus -41.28187?\nAnswer: -4915.28187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 69*i. Let p(s) = -2*s + 7409. Determine p(u(o)).\nAnswer: -138*o + 7409","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f - 5. Let d be u(-4). Let p = -9 - d. Suppose -2*h + 33 + 121 = p. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, 1856, -1\/157, 11\/4 in increasing order.\nAnswer: -1\/9, -1\/157, 11\/4, 1856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21\/8 of a week?\nAnswer: 26460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -7*m + 2*m. Let u = 1\/22 - -5\/11. What is the nearest to -8 in u, -4, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 2\/11 (c) -5.35 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6745 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1405, 1419, 1449, 1501, 1581?\nAnswer: 1695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 + 308924*y**2 + 5561604*y + 25028676.\nAnswer: -4*(y - 77249)*(y + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 - 1 + 1)*(-2 + 3 + 0) - i**3 - 2*i**3 + 0*i**3 + 2*i**3 - 5 + 5 + (-i - 2*i**2 + i)*(-3*i - i + 6*i) - 5*i + i**3 + 5*i.\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 12199794.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*u**2 + u**2 + u**2)*(2*u - 13*u + 0*u) in the form j*u**3 + n*u**2 + k*u + y and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49791195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11 (b) -3 (c) -4\/3 (d) -8 (e) -0.2 (f) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 72 = -9*r. Let k be -5 + r\/(36\/32). Suppose o = k*p - 85, o = p + 6*o - 39. What are the prime factors of p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = r + 2*o - 50, -o - 134 = -3*r. Let z = r + -39. Solve 6*p = p + z for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 + 279 = 2*u. What is the lowest common multiple of 12 and ((-2)\/(-4))\/(4\/u)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1500303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/36 (b) -0.5 (c) 1 (d) -3 (e) -1 (f) -4\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 832 - 836. Suppose -4*o = -13 + 1. Calculate the remainder when o*(-285)\/(-9) + k is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -197*k + 389. Calculate x(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12103 - 7782. Let w = -21 + y. Round w to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1355 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1029*y**5\/8 + 441*y**4\/8 + 24297*y**3\/4 - 41217*y**2\/2 + 5445*y + 31944 = 0 for y.\nAnswer: -8, -1, 22\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -2029.\nAnswer: -2029, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 75 = h + 4*h, 52 = -3*k + 4*h. Let x = 2 + k. Put 0, -2, x in descending order.\nAnswer: 0, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x - 22. Let w = 61 - 66. Let k be h(w). List the prime factors of (6\/k)\/(16\/(-784)).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**3 - 281*y + 529*y - 10*y**3 - 16*y**3 - 156*y.\nAnswer: -24*y**3 + 92*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z. Let f(b) = 12*b. Let y(s) = 8*s**2 - 5*s - 2. Let g be y(-2). Give g*h(w) + 4*f(w).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*r - 201 = -47*r - 29 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.229, 1\/61, 2, -11.18 in increasing order.\nAnswer: -11.18, -0.229, 1\/61, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 342 = -66. Let c = t - -646\/7. Factor c*v**3 - 1\/7*v**4 + 1\/7*v**2 + 0 - 2\/7*v.\nAnswer: -v*(v - 2)*(v - 1)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -2 + 1 + -4 + 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 69239941651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -7, -17, 2\/3, -1, -29 in descending order.\nAnswer: 2\/3, -1, -7, -17, -18, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, -9, 1\/62?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7 + 0)\/1*-11?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13\/117)\/((-10)\/12)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2\/5 (b) -0.2 (c) -1 (d) 8\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 23.\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 4, 5, 13 in decreasing order.\nAnswer: 13, 5, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 193269.5 - 1.\nAnswer: 193268.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 125968275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 109 - 107. Is (0 + (-1923)\/(-6))\/(q\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 597877 at most as big as -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6448 - -0.3448. Let l = -0.3 + 0.4. Which is the closest to 0.8? (a) f (b) 1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-393)\/(-12))\/((-28)\/(-448)) is divided by 155.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000011001000 (base 2) in base 14?\nAnswer: 30b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 1280.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 + (-171)\/27)*(7349704\/16 + 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + -1. Let g be 3\/(-1)*(-1)\/j. What is the biggest value in 0, -0.1, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8665.465 micrograms in nanograms?\nAnswer: 8665465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -42*u - 3. Let n be w(-1). Suppose 2*j = n*j - 629. Solve -4*z = x - 16, z - j = -2*x + 5*x for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2 = -16. Let x = l + 3. Suppose -3*q + 5*d + x = 49, -5*q - d = 15. Let f(o) = 2*o + 3. Determine f(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 9*k - 585. Give n(-29).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2748 - -2737. Let q(i) = -i**3 - 12*i**2 - 8*i - 3. Determine q(r).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0*i - 7935 = -5*i, 0 = -3*n - 3*i + 7929. Let u be (n\/(-18))\/(-5) - 2\/(-3). What is the derivative of 9 - 7 - u - 18*o wrt o?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 825*y**2 - 8*y + 8. Let z(x) = x**2 - 11*x + 25. Let r be z(8). Let k be l(r). Round k to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/6 of a week?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -226.1.\nAnswer: 1130.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d + 384394 = 80*d. Is 53 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j**16)\/j*j)\/j**33)\/(j**(-1\/4)\/j**28) assuming j is positive.\nAnswer: j**(53\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y. Let p(f) = -12*f - 63. What is t(p(o))?\nAnswer: -12*o - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 31*f**3 + f**2 - 3973*f - 3975. Give u(-1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.74*2444.\nAnswer: 9140.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1146 - 6141*y**2 + 1146.\nAnswer: -6141*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60852002, -60851978, -60851942, -60851888, -60851810, -60851702?\nAnswer: -60851558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -7*p. Let t(g) = -3*g. Let m(a) = 2*r(a) - 5*t(a). Let d = 30 - 28. Let o(f) = -2 + d*f + 0 + 0*f + 1. Determine -4*m(x) + o(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + c = 4*x + 6, -4*x - c - 3 = 0. Let n = x + 8. Does 5 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -582*j**2 - j + 1 wrt j.\nAnswer: -1164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128821488, 128821496, 128821504, 128821512, 128821520?\nAnswer: 128821528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 17000\/31189 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, -3, -0.1, 96?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**16*a)\/((a**(-11)*a)\/a))**(-5))**50)**(14\/5) assuming a is positive.\nAnswer: a**(-19600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 869802.\nAnswer: 2, 3, 144967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 127781 divided by 1095\nAnswer: 127781\/1095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11290 rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12553 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/6 and (45\/42)\/(-1) - -1.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4532 divided by 1133.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 31755, 31736, 31717?\n\"Answer: -19*i + 31774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 174 and -34995.\nAnswer: -6089130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -705 - -699. Let s(h) = 2*h + 15. Determine s(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -198*s - 6. Let y be w(-2). Suppose -4*u - u = 5*v - y, 4*v = 12. Is 74 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -12.1, 0, -0.4, -3, 3773 in increasing order.\nAnswer: -12.1, -3, -0.4, 0, 3, 3773","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -667.3191412 + -2.6.\nAnswer: -669.9191412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v + v + v)*(-1 - 1 + 3) - 7015 + 3543 + 3584 - 6*v in the form y + g*v and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 13*i + 807. Give y(-62).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11288, 23461, 35634?\n\"Answer: 12173*j - 885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*(21\/2)\/(-3). Suppose 0 = 5*d + v - 20, g = d + 3*v - 4. Suppose q + 1 + 2 = -5*i, 0 = 3*i + d. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 560 - 560 + 6*x**3.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.43 + 6.63. Which is the second smallest value? (a) -3 (b) -0.3 (c) t (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g*g**(-8\/5)*g*g*g**(1\/10) assuming g is positive.\nAnswer: g**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 585*l + 4210. Is 100 a factor of z(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 2*c**2 + 2. Let d be s(2). Let i = 1689 + -1689. Suppose -d*n + 4*n - 4 = i, 4*m + 4*n - 276 = 0. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -425 at least -499?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0\/(g\/(g**(-10)*g)))\/(g**(-2\/17)\/g*g\/(g*g**(3\/14))))**50 assuming g is positive.\nAnswer: g**(-51575\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2 + 22*q - 634. Calculate u(-24).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -18883830.\nAnswer: 2\/9441915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25956.469 * -2.7.\nAnswer: -70082.4663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20000 (base 7) in base 4?\nAnswer: 1023002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 3:16 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**2 - 5*w - 15. Let i be x(-6). Suppose 0 = 5*d - 362 - i. Suppose 0 = 5*n - d + 17. Solve 0 = 4*y - g - n, 5*g - 28 = -2*y + 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.5 - 9. Let t = 156 - 464\/3. What is the nearest to -1 in t, 2\/17, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61412698 is divided by 5582972.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 divided by 4?\nAnswer: -123\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -5. Let b(l) = -8*l - 10*l**2 + 36*l**f + 8*l. Let z(j) = 2*j. Determine z(b(h)).\nAnswer: 52*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 1)*1\/(-1). What is the third derivative of 4*z**4 + z**4 - 6*z**4 + z**r wrt z?\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -64 - (32 - -24 - 79)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 79*k**2 + 1. Let u be w(1). Let x = -64 - -68. Suppose -2*y - 3*y - n + u = 0, -75 = -x*y - 3*n. What is the remainder when 58 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2912 and 23072?\nAnswer: 299936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 158089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.1 + 12. Let a = q + -0.8. Let r = a + -1. What is the second smallest value in r, -3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -45*w**2 + 192*w - 32. Let j be c(4). Let u(a) be the first derivative of 16*a + j*a**2 + 22 + a**4 + 20\/3*a**3. Factor u(f).\nAnswer: 4*(f + 1)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 166 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -92 + 716. Suppose -2*q - 108 = -5*t, 2*t + 3*q = 9284 - 9237. What is the lowest common multiple of x and t?\nAnswer: 6864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 1329 = 3*f, -5*w - 4*f = f - 3385. Suppose -17*d = -23*d + w. Does 28 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 306 and 2907?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2903, 2892, 2871, 2834, 2775, 2688, 2567?\nAnswer: 2406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - l = 2, 2*j - 5*l = -6*l - 2. Solve j*v + 3*v = -2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1188)\/180 + 6*1.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 289148?\nAnswer: 867444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11050 (base 6) to base 9.\nAnswer: 2103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (171344\/(-6))\/((-544)\/408)?\nAnswer: 2, 10709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -30*z**2 + 27*z + 26. Let c(u) = 6*u**2 - 5*u - 5. What is -2*b(k) - 11*c(k)?\nAnswer: -6*k**2 + k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 812*s**3 - s**2 - 5793*s + 19405698?\nAnswer: 2436*s**2 - 2*s - 5793","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 706006 and 422?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -87*z**3 - 3*z**2 + z - 4. Let t(g) = -g**3 - g**2 + g. Let c(h) = -5*t(h) + y(h). What is the lowest common multiple of c(-1) and 42?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 14908 = 3*s + 3697, -18635 = -5*s + 5*i. What are the prime factors of s?\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2 + 3*c + 2*c + 0. Let y be z(2). Suppose -2*p - y = -5*p. Solve 7 = p*u - 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -639954\/13 or -49226?\nAnswer: -639954\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2557, 419, -4.\nAnswer: -2557, -4, 419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/1)\/((6\/(-3))\/8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -609, -1799, -3781, -6555, -10121, -14479?\nAnswer: -19629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0)**10*(m*m*m**(-1\/2))**(18\/5))**6 assuming m is positive.\nAnswer: m**(162\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 136253*t**2 - 136253*t**2 + 4*t**4)*(2*t - 1 + 1).\nAnswer: 8*t**5 + 36*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 68580, 58, 3, 8 in decreasing order.\nAnswer: 68580, 58, 8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 8*b - 4 = 0, 299*b - 301*b = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -3 (b) -0.5 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gnlgalnlgml. What is prob of picking 1 g and 1 l?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 8:50 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*k + 6*k + 44 + 10*k**3 - 66)*(0*k + k - 3*k) - k**4 - 4*k**4 + 3*k**4 + 2*k**3 - k**4 - 2*k**3 as w*k**4 + p + j*k + i*k**2 + f*k**3 and give j.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 143*l**2. Let t(h) = -2377199*h. Give t(v(g)).\nAnswer: -339939457*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*p**4 - 168*p**3 + 108*p**2 = 0. What is p?\nAnswer: 0, 2\/3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 31403)\/((-156)\/(-6)). Let b = -1208 - t. Let d = -7\/234 + b. Is -1 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -12*n**3 - 794*n**2 - 152*n - 1354. What is c(-66)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 540 - 338. What are the prime factors of (c - 16)*2\/6?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u + 1. Let a(m) = -m + 2. Give 3*a(c) - 6*x(c).\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-7) + 64\/(-224). Suppose j*o + 3*p + 6 = 5*o, -4*p = o - 15. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -58754 from -0.05.\nAnswer: 58753.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 8.8 (b) -1\/2 (c) -1\/8 (d) -9 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in five quarters of a millisecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3874 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1534732, -3069456, -4604180, -6138904, -7673628, -9208352?\n\"Answer: -1534724*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - 6*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2641\/11 - -239. Suppose -a - 3*a + 4*j = 184, -221 = 5*a - 2*j. Let r = 86 + a. Find the common denominator of o and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/2 + l**3 - 7*l**2\/2 - 10*l - 6.\nAnswer: (l - 3)*(l + 1)*(l + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 75810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -j + 12. Suppose 3*d = -k - 5 + j, d - 3 = 0. Sort 4, -4, k in descending order.\nAnswer: 4, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -681 - -1107. What is the smallest common multiple of 36 and x?\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 624*x - 6340. Give v(10).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78911 is divided by 25631?\nAnswer: 2018","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4533300717?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 11*s**2 + 7*s - 9. Calculate h(-7).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**5\/3 + 751*t**4\/3 + 27485*t**3\/3 + 6655*t**2 - 82428*t - 80172 = 0. What is t?\nAnswer: -34, -3, -1, 3, 786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j. Let u be a(4). Let s(g) = g**3 - 2*g**2 - g + 3. What is the units digit of s(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*h + 47, 2*q - 3*h = -2*q + 85. What is the remainder when 303 is divided by q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2342304 - -2?\nAnswer: 2342310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n + 58*n - 23283 = 0. What are the prime factors of n?\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 635 - 142081?\nAnswer: -141345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, -6, -81, -210, -411?\nAnswer: -702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 816 is divided by 57.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489214 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1888860.\nAnswer: 2, 3, 5, 31481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - 144\/(-3 - -6). Let t = -12 - l. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 182 + -71. What is the remainder when (y\/18 + (-4)\/(-12))*16 is divided by ((-1)\/(-2))\/((-1)\/(-54))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 4*u**2 - 2*u + 4. Let k be c(3). Let p be k + (-5 - -11) + -1. Calculate the highest common factor of 24 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 u when two letters picked without replacement from eurmleezezleeem.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 1792*x - 5 - 15672*x.\nAnswer: -17464*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23817, 47639, 71463, 95289?\nAnswer: 119117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*q = -83*q + 1024*q - 65475 for q.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67742 = -1811*g - 37296 for g.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/514091 and 0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**3 + 5*s**3 + 0*s**3)*((s + 2*s - 5*s)*(1 - 5 + 2) + 3 - 10*s - 3 + s - 4 + 4)*((-2 + 0 + 3)*(0 + 0 - 2*s) + 4 - 4 - s).\nAnswer: 30*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 79\/2 of a litre?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 1074*l + 2*l**2 - 2 + 2*l**4 + 1059*l - 1 - 3*l**3 + 6*l**2 to c*l**4 + g*l**2 + f*l + t + u*l**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13542 - -21639. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 775517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 - 0.50000112. What is g rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(3\/2))**49 assuming k is positive.\nAnswer: k**(-49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d + 4495 = 2*t + 19*d, 0 = -4*d + 20. What is the smallest common multiple of t and 40?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a minute?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/11 and -57\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2457 by -13.\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 9*t**2 - 9*t + 9. Let b be h(5). Let v = -438 + b. Let l = -150 - v. What is the highest common factor of 11 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4377, -17502, -39369, -69972, -109305?\nAnswer: -157362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/7))**48 assuming a is positive.\nAnswer: a**(96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*i = -193, 41*n - 5*i + 26 = 40*n. Let o = 422 + n. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 861*j + 11179. What is b(-13)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d*d*d**(-15))))**(-25))**(2\/47) assuming d is positive.\nAnswer: d**(650\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 1)*(-9)\/(-6). Let d(f) = 3*f - 5. Let t(a) = -2*a + 3. Let k(v) = p*d(v) - 5*t(v). Let g(i) = 4*i. Determine k(g(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25232, 25231, 25230?\nAnswer: 25229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -28152\/5 or -5629?\nAnswer: -5629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/1 + -1 + 3. Suppose s + l = -3. Let q = -59 - -353\/6. What is the third smallest value in 2\/5, q, s?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -5*k**4\/2 + 185*k**3\/2 - 420*k**2 + 650*k - 320 = 0.\nAnswer: 1, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 6853?\nAnswer: -6853.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 2 = -3*o. Suppose -o - 1 = -2*f. Suppose 2 + 0 = b. Solve -3*r = h + 1, 5*r - b*h - f = -1 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4841316\/(-46776))\/(9\/8*-2).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 1:36 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*j - 23*j**2 - 37*j - 20*j**2 + 38*j**2 = 0 for j.\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 2)*(3 + 1 - 6)*(3*j - 4*j + 2*j).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-399)\/28)\/(42\/56)*2\/(-4).\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*y = 104*y + 189. What is the least common multiple of y and 63?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + f - 80 = 0, 5*z = 4*f - 7*f + 80. Suppose -2*x = -3*b + z, -5*b + 4*x + 10 + 18 = 0. Suppose b*j = 3537 + 17851. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -8 + (4 - 1) + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 292211590?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3116?\nAnswer: 2, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19402*k**2 - 11362*k.\nAnswer: -38804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3972 and 11916.\nAnswer: 11916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-2\/5))**(-2\/23)\/(a\/a**(4\/7)*a*a**(-4)*a))\/((a**(-1\/9)*a**2)\/(a**0)**(2\/39)) assuming a is positive.\nAnswer: a**(-2678\/7245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1092220*n**5 + 1092212*n**4 - 2184448*n**3 + 16*n**2 = 0. Calculate n.\nAnswer: -2, 0, 2\/273055, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9628 is divided by 601.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 2*k - 12 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2155.6 take away -0.258?\nAnswer: -2155.342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -5*h**4 - 875*h**3 + 16985*h**2 - 74005*h + 57900 = 0.\nAnswer: -193, 1, 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -17. Suppose n = -s*q + 163, 5*n - 3*n = -10. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2\/749, -0.08 in ascending order.\nAnswer: -0.08, -2\/749, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/3788315 and -11\/6978475.\nAnswer: 132591025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 390236 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -20*l + 9 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 y when two letters picked without replacement from fyvsh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002974 to five decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -921*d - 1073*d - 149550 for d.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 132097729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2241*m**2*n**6 + m**2*n**4 + 2*m**2*n**2 - 8*m**2*n - 115*n**2 wrt n.\nAnswer: 268920*m**2*n**3 + 24*m**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a millennium in months?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**16\/d))\/(d*d\/d**(3\/14))*d**15*d*d**(8\/5) assuming d is positive.\nAnswer: d**(127\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -7*x**3\/6 - 3*x**2\/2 - 9*x + 39. Determine i(4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-5\/8))\/o**(-37) assuming o is positive.\nAnswer: o**(299\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 111 = 2*y - 97, 3 = -3*l + 6*l - 727*y + 733*y for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 38*t**3 - 738*t**2 + 795*t**2 + 229*t + 7*t**4 - 211*t = 0?\nAnswer: -3, -2, -3\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 29*m = 16*m - 720 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 12 = 37. Solve 0 = 3*s, 0*s = -2*l + a*s - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12479280 and 430320?\nAnswer: 12479280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2665431 (base 10) to base 13.\nAnswer: 7242a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 36*y**2 - 67*y + 40. Let j be a(-34). Solve -n = m + 2, 0 = j*n + 3*m - 0 - 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f**(1\/3)\/f*f)\/f)*f\/f**7)**(2\/131))**(-11\/5) assuming f is positive.\nAnswer: f**(286\/1965)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 67925073143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13\/28 + 5\/7. Let x = -0.005 - -38.005. Let m = x - 28. Put s, m, 1\/6 in descending order.\nAnswer: m, s, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 4) to base 3\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/8 + 10*k**2 - 39*k\/2.\nAnswer: -k*(k - 78)*(k - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 261625*r - 5494511. Determine l(21).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from {q: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -7*d**2 + 4. Suppose 5*s = 13*s - 16. Let m be r(s). Let i = 28 + m. Solve 2*g - g + i*x = -16, -3*x + 1 = 4*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -501 - 809. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**3 + 4*m**2 - 6*m + 2. Let y(q) = -20*q**2 + 9*q - 6 + q**2 + 6*q**3 + 8*q + 8*q**2. What is 17*o(z) + 6*y(z)?\nAnswer: 2*z**3 + 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of z**4 + 91683*z**2 - 200*z + 1778.\nAnswer: 12*z**2 + 183366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, 160, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-324)\/99 - 6\/(-22)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18 and -0.64513437.\nAnswer: 11.61241866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*i**3 + 3881*i**2 + i**3 - 3881*i**2.\nAnswer: -11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 15*m**3 - 6*m**2 + 11*m + 58. What is the tens digit of n(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*l**3 - 242849*l**2 + 7*l + 10196205 with respect to l.\nAnswer: -18*l**2 - 485698*l + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 5*u + 30 = 0, 0 = 6*n - 2*n - 2*u. Differentiate 12 - 5 - n*j**4 - 2*j**4 with respect to j.\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 3:11 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4993312 divided by 312082.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 88819972412 and 2.\nAnswer: 88819972414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 123*p - 125*p + 4*i, 0 = 4*p + 2*i + 66 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 544898969?\nAnswer: 1087, 501287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p - 13. Let v(j) = -3*j + 27. Determine -13*o(h) - 6*v(h).\nAnswer: -8*h + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1330)\/(-570)*((-600)\/35)\/5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -25 - ((-3)\/3 + 1). Let t = 489 + -355. Let b = w + t. What are the prime factors of b?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 48*r + 88. What is m(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2245652 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 594*v**3 + 2*v**2 + 2*v + 1. Let p be c(-1). Let g = p - -1293. What are the prime factors of g?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 372, 619, 786, 891, 952?\nAnswer: 987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 688460, 1376924, 2065390, 2753858, 3442328?\n\"Answer: a**2 + 688461*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*o + 4*h = 146*o - 2, 11 = -o + 5*h for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 9 + 3. Suppose -4*d + 2*c = -4784, -d + c + 1185 = y*c. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -9*i + 1. Let b(f) = f**2 + 5*f + 2. Let u be b(-3). Let k be v(u). Let g = 340 - 336. Solve 5*l = g*s + k, 3*l - l - s - 13 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 3*i + 4*o - 25, 5*i - o - 34 = 0. Suppose -3 = -i*h + 11. Solve -q = x, -h*x + 5*q - 35 = -0*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.067 - -0.0102. Let v = -6.9432 + i. What is the closest to -0.2 in -4, v, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -3*d - d. Let v = -5 - d. List the prime factors of (-2)\/8 - 39\/v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 5:34 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12501 or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1455 and 1185.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -2) + (-1)\/((-2)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 4 + 20 = -5*p, 8 = -2*p for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-396)\/(-462)*2\/(-6)*231\/99.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 26 = -98. Let k be (-1)\/(-2) + 9\/l. Let a be ((-4)\/(-5))\/(2\/1). Is k at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 342465252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7579 = -6*q + 17*q. Let w = 3588 - q. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w - 13. Let x be v(-5). Let r(z) = 6*z**x - 2*z + 2*z - 5*z**2. Let b(s) = s**2. What is -b(d) - 3*r(d)?\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 327 + -296. What is the units digit of (7 - 1)*g\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 6*h = -6. Suppose 34 - 34 = h*j. Factor 8\/5*l + 4\/5*l**2 + j.\nAnswer: 4*l*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 664560 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-10) + (-21)\/(-5). Let j(i) = i**2 - 4*i + 2. Let y be j(x). Find the second derivative of 2*u - u - y*u**3 + 3*u**3 wrt u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -249767261 divided by 2\nAnswer: -249767261\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -676869 divided by 324\nAnswer: -225623\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2. Determine y(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1377125668.\nAnswer: 2, 29, 11871773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 98, -4, 23, -6, -1 in descending order.\nAnswer: 98, 23, 3, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwk when three letters picked without replacement from {w: 1, f: 5, s: 1, k: 1, v: 3}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 460878?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2247 = -1578*l + 1533*l + 1758. Suppose -196 - 77 = -3*w. Which is bigger: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 8:32 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(20\/8)\/(-5). Solve 3*s - a = -2*u + 1, -15 = -5*s - u for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -51, -17, 43, 135, 265, 439, 663?\nAnswer: 943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-4\/25)*d)\/d)**(2\/65)*((d\/(d**37*d))\/d)\/d**(-1\/19) assuming d is positive.\nAnswer: d**(-1171777\/30875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-74)\/185*(-4)\/656*(-60)\/(-3).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (11 + (-1752)\/162)*(-120)\/(-50)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36071186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -91416\/13893125 - -4\/22229. Is 1 at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -759*u**2 - 15*u + 2. Let c(k) = 379*k**2 + 7*k - 1. Let x(b) = 13*c(b) + 6*w(b). Is x(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 646 - 653.064. Round v to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/92 (b) 2\/7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8014376323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/4 + 11587*f\/4 - 11591.\nAnswer: (f - 4)*(f + 11591)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 132101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 3122167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.3 - 42002.\nAnswer: -42000.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -141\/2 - -2249\/32. Calculate the common denominator of 101\/28 and o.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -8*u**2 - 9*u**2 - 20 + 16*u**2 - 13*u. Let h be p(-11). Suppose -2*c + 62 = -3*r, h*r - 96 = -3*c + 5*r. What are the prime factors of c?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29357 - 29352. Suppose t - 2 = 1. Let k = 9 + -2. Solve k + p = -t*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 58 = -q + 52, -4*q + 175 = 3*p. Let k = p - 60. Let t(o) = -24*o + 19. What is the hundreds digit of t(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 226*p - 3992. Let x(c) = c**2. What is a(x(o))?\nAnswer: 226*o**2 - 3992","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.51 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 + -1 + 4391 + -4400.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u + 37. Suppose 0 = d - 24 + 8. Let o be y(d). Let m be 6\/((60\/4)\/o). Solve 3*j - m = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 254785*r*z**4 - 15*r*z**3 + r*z**2 - 2726670*z**2 + 1 wrt z?\nAnswer: 6114840*r*z - 90*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (133\/(-19))\/1785*(-10)\/2*6.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12597 or -12593?\nAnswer: -12597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.6926 to one decimal place.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -7*w**2 - 3*w - 4. Let q(y) = 3*y**2 + 2*y + 2. Let r(a) = -4*j(a) - 9*q(a). Let i be r(7). Is i less than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*c - 86*c = 10. Let k be ((-20)\/(-5))\/((-4)\/c). Solve 0 = -k*p + 2*h + 4, p - 4 = -p + h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 + 3*f. Let v be j(-2). Suppose 6 = -2*z, 0 = -4*l + z - 3*z - v. Let g be 1*(6\/2 - l). What is the greatest common factor of 10 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**4 + d**4 - 2*d**4 + (-4 - 2 + 4)*(2*d**4 + d - d) - 9*d + 12*d**4 - 2943 + 2943 as q*d + k*d**2 + i*d**4 + t*d**3 + r and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, 47, 259, 671, 1349, 2359, 3767, 5639?\nAnswer: 8041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oloqoqqqlyoyo. What is prob of sequence yqy?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.4 (b) -764 (c) -0.038 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 0 + 5)\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 820222 greater than or equal to 820225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 3141*d - 18812. Give x(6).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 3057*v**3 - 6799*v**2\/2 + 1051. Find the second derivative of f(i) wrt i.\nAnswer: 18342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**6*c**(-2)*((c*c*c**(-5)*c)\/c)\/(c\/(c\/(c\/((c\/c**(-1\/2))\/c)))))**(-14) assuming c is positive.\nAnswer: c**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -322 + 664. List the prime factors of h.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 104? (a) 2\/5 (b) 1.8 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (440\/70 - 6)*(-5 - (-1 + -3)). Let u = 6\/5 - 23\/15. Which is the second smallest value? (a) u (b) v (c) -8\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, -1\/3, 3\/5, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51005a (base 12) in base 14?\nAnswer: 24cdca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*b + 11*b**2 + 490*b - 373*b.\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20280 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: Solve 8 = -2*n, 5*z + 3*n + 12 = -0*n for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.771 + 7.771. Sort u, 2, 0.2 in descending order.\nAnswer: u, 2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 721928 and 15336.\nAnswer: 19492056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 396030.8 litres to millilitres.\nAnswer: 396030800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -9*v + 18. Let z be u(-5). Let w = z - 53. Let h(j) = j - 7. Let m be h(w). Solve 0 = -x - l - l - 2, -2*l = -m*x + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.81 + 37401323.7?\nAnswer: 37401324.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j**5 - 173*j**4 + 5525*j**3 - 14875*j**2 - 5526*j + 15048 = 0. Calculate j.\nAnswer: -1, 1, 3, 38, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*w - 229*w + 50 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/5? (a) 2 (b) 0.21 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -36, -48, -36, 0, 60, 144, 252?\n\"Answer: 12*u**2 - 48*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 336405 + 56566. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1211*h = -81177 + 98131 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5476476, -5476460, -5476444, -5476428, -5476412, -5476396?\nAnswer: -5476380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 499 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6*r**3 - 6*r**2 - 4*r + 8. Let d(b) = 4*b**3 - 4*b**2 - 3*b + 5. Let p(g) = 8*d(g) - 5*t(g). Suppose p(a) = 0. What is a?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87 + -86.953. Let x = 0.05 - d. Round x to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + -2)*-57*1\/3. Suppose 128 = -17*y + q*y. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -85*z + 5*z + 65*z + 43*z + 66*z. Let u(g) = 32*g**2. Give p(u(s)).\nAnswer: 3008*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3000 = -0*f - 5*f, o = 0. Let v be (10000 + -3 + 3)*f. What is v rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.93743 to one dp.\nAnswer: -8.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 618651 * 0.2\nAnswer: 123730.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u**2 - u - 2. What is the units digit of j(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4308701 divided by 251?\nAnswer: 4308701\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -726, -12318, -31636, -58686, -93474, -136006, -186288, -244326?\nAnswer: -310126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 4, 11, 22, 37, 56?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -127 (base 9) to base 2\nAnswer: -1101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000627552118 rounded to 6 dps?\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 5:04 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 70830818 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 24*a**2 - 379*a - 8853. What is l(-26)?\nAnswer: -351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 85.7 and 0.1.\nAnswer: 85.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**3 + 135*b**2 - 80*b**2 + 5 - 71*b**2 - 2 to the form o*b**3 + m*b**2 + k*b + l and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1255 is divided by 557?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(51 + -11) - (-82)\/8. Calculate the greatest common factor of 70 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3)\/(u\/((u\/(u\/((((u\/u**4)\/u)\/u)\/u)))\/u)))**(-44) assuming u is positive.\nAnswer: u**484","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10.0666 (b) 3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 124530, 124535, 124540, 124545?\n\"Answer: 5*r + 124525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 55690.096 days in weeks?\nAnswer: 7955.728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*-1*-4 - (-3*(sqrt(720) - -3*sqrt(720)) + sqrt(720)))**2.\nAnswer: 162000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -59, -154, -247, -344, -451?\n\"Answer: -o**3 + 7*o**2 - 109*o + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-22))\/(3\/(-4)). Let j = 1824 - 9177\/5. Let v = j - -54\/5. What is the biggest value in 0.2, v, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*t + 291 + 33*t - 291 - 4268*t**2.\nAnswer: -4268*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 191339?\nAnswer: 38267.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6855735.3666217 - 6855736. Let k = 7.6333203 + a. Let n = k + -7. Round n to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**4 + 67*n**2 - 11*n + 2.\nAnswer: 24*n**2 + 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 141081, 282161, 423241, 564321, 705401, 846481?\nAnswer: 987561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -250 + 995\/4. Which is the second smallest value? (a) -0.1 (b) 6 (c) 1\/3 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0448615 - 34.9502385. Let w = -41.2 - -6.2. Let s = w - t. Round s to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5800 and 200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -45265855\nAnswer: 4\/45265855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 4*z - 4. Let y(h) = -h**2 - 5*h - 5. Let u(g) = 5*n(g) - 4*y(g). Let i = 20 - 14. Let r(s) = -17*s + 9*s + i*s. Determine r(u(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) -1 (c) -7152 (d) -1\/3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*a + 46, 0 = -4*a - j + 40 + 2. Let k(p) = 2*p - 1. Let u be k(a). What is the units digit of u\/2*10\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**2\/15 + 15872*i\/15 + 1590666\/5 = 0.\nAnswer: -7623, -313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 100*q**4 + 4638*q**3 + 2*q**2 + 396603.\nAnswer: 2400*q + 27828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1625 - 1625. Let w = -0.01 + -2.99. Sort w, o, -0.3.\nAnswer: w, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-36)*(-4 + 38\/8)*8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -3*y + 9, -y - 2*f = 341 - 344 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1560.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1763*q - 72*q**2 + 1763*q to a*q + b*q**2 + w and give b.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1115 is divided by 34.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 4 + 2)*(-54 + 54 + 13*q) as b*q + m and give b.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 137984 divided by -32?\nAnswer: -4312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-10) + 103\/5. Let q be 4\/(-6)*(-360)\/80. Calculate the highest common divisor of y and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567)*2)**2*5 - (-4 + (sqrt(567) - (sqrt(567) + -3)**2) + sqrt(567)))*-6.\nAnswer: -71520 + 432*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 2. Let m be (-12)\/45*q\/4. Suppose 5*c = 5*h + 5, 4*c - 93*h + 5 = -98*h. What is the nearest to c in -3, m, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-10) - (-38)\/10. Let q = -2 + t. What is the units digit of -3*q\/(-3)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9804.\nAnswer: 2, 3, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 26 + 9*x**2 - 24)*(x + 0*x + 2*x + 2) as j*x**3 + o + y*x + q*x**2 and give j.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**3 - 56*n**2 - 18*n - 23. Let b be z(19). Is b bigger than 0.0361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aeeesieiiaawwiee. Give prob of sequence wwe.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -19549*c - 977424. Determine p(-50).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -956 - -1673. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from kkkkkktktkkkkkkkkkkk.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-4) - (-9 - -3))\/30.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 5*w - 6 + 4, 0 = -3*g + 2*w + 5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 5, -0.4, 3\/8, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*c)*(-2 + 0 + 1)*(9*c**2 - 3*c**2 + 3*c**2).\nAnswer: 18*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/8)\/(7173\/63760).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3316885541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 4:39 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/19, -1\/6, 4\/45, -0.2?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2428*s**3 + 3*s**2 + 73034*s - 73034*s as j + r*s + h*s**2 + i*s**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55785 is divided by 51.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.086 - -0.0860162. What is v rounded to 6 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 6 - 4)*(0*p**3 + p**3 + 0*p**3).\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 4. Let z be c(6). Let f be (4\/z)\/(1\/85). Suppose -2*j = -0*j - 102. Calculate the greatest common factor of j and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -38 - 4 - -10.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -119 - 9*f + 7*f + 227 to the form m + a*f and give m.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 186, 715, 1608, 2871, 4510, 6531?\n\"Answer: x**3 + 176*x**2 - 6*x + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1570 + -1569.2388. Let l = -40.76 - -40. Let y = w + l. Round y to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 1. Let n(m) = -2*m**3 - 7. What is 6*n(x) + 42*p(x)?\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of z**5\/60 + 3*z**2. Let t(i) = 0*i - 3*i**2 + 0*i. What is t(s(y))?\nAnswer: -3*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 8754226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -5*v**2 + 200*v + 980. Let g be w(-5). Let l be ((-269)\/1 - 2)*-1. Let c = g + l. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -84.9 - -74.8. Sort -5\/6, q, 25 in ascending order.\nAnswer: q, -5\/6, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + 1 + sqrt(252))*-3)**2 + (2 + sqrt(252)*-1)**2 + 2 - (-4 + (sqrt(252) - (sqrt(252) + -2))**2 + 0)*-1.\nAnswer: 192*sqrt(7) + 9339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -1 - -3)*-1. Let n be (-4 - -3)*(-9)\/(-3). Sort b, n, 1 in ascending order.\nAnswer: n, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 6*g + 1. Let o be r(6). Sort 6, -5, o in descending order.\nAnswer: 6, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (-42 + (2 - 1)). Suppose p = 16*x - 11*x. Suppose y = x*y - 2779. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-40)\/(-14))\/((-1211)\/245 + 5). What is the hundreds digit of 4\/10 - ((-511470)\/k)\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 3.7. Let b = 0.2 + n. Suppose 2*z - 5*z = 5*o + 15, -2*z = 5*o + 15. What is the nearest to z in -0.3, -4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(0 + (3 - 30)). Let k = -35 + q. Let w = 21 + k. What is the highest common divisor of 91 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125402753 to the power of 1\/3, to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22785 + 20202. Is -2583 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13\/9 - 16\/9. Suppose -111 = -12*j + 573. Let s be -4 - (227\/(-60) + j\/(-342)). Which is greater: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/(d*d\/(d\/(d*d\/(d\/(d\/(d\/(d*d**(2\/15)\/d)))*d)))*d)*d**3*(((d\/d**(2\/7))\/d)\/d)**18 assuming d is positive.\nAnswer: d**(-2129\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107035 is divided by 35608.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7133.22983 and 0.25?\nAnswer: 7132.97983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 25.5. Sort -2\/3, n, 0.2.\nAnswer: -2\/3, n, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + -1 + (-4 - -5). Let d be -4*2*1\/(-2). Suppose -3*x + 1 = 4*s - 3, -2*x - a*s = -d. Is x < 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 596732270473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (7 - (-1 + 4) - -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -6*(-1 + 6*1*sqrt(1573) + -4)**2 + 5.\nAnswer: -339916 + 3960*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1074859, 2149750, 3224655, 4299574, 5374507, 6449454?\n\"Answer: 7*z**2 + 1074870*z - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 326325*o**5 + 669*o**4 - 23227957*o**2 + 1 wrt o?\nAnswer: 19579500*o**2 + 16056*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -82, -85, -88, -91, -94, -97?\n\"Answer: -3*x - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/11 (b) 16 (c) 4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -14*d**2 + 4*d. Determine c(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 22*l - 81. Is w(15) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwowzowowuwwow. Give prob of sequence wwwo.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 - 11*l. Let b be t(-5). Solve 3*h - b = -20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 412 - 339. Suppose t - 75 = -2*p. Do p and 24 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 1, 51 in descending order.\nAnswer: 51, 26, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i - 2. Suppose 35*k - 36*k + 5 = 0. Suppose 0 = -k*y - 11 + 31. What is m(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22488505?\nAnswer: 5, 13, 103, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28275692?\nAnswer: 2, 17, 415819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d*m**3 + 6*d*m**2 - 631*d*m + 16*d - 55*m**3 - 26*m**2 + m - 892 wrt d.\nAnswer: -m**3 + 6*m**2 - 631*m + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k**2 - 4*k + 4. Suppose 3 = -y - 2. Let o be -1*3*8\/6. Let b(j) = -4*j**2 + 5*j - 5. Let n(z) = o*b(z) + y*q(z). Let a(p) = -p**2. What is a(n(h))?\nAnswer: -16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3202113 (base 4) in base 2?\nAnswer: 11100010010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/16 and -75\/153037154.\nAnswer: 1224297232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 + 17*t - 18. What are the prime factors of a(-20)?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3040\/528)\/(-19)*-90*(-33)\/110?\nAnswer: -90\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u + 8193 = -16*u + 3*l, -5*l = 5*u - 10245. Calculate the greatest common divisor of u and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1379797\/246 - 16819\/3. Let o = 5102\/1025 - d. Calculate the common denominator of -83\/40 and o.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 577121291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 354303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*o + 5*u = 72*o - 35, -152 = -18*o + 5*u for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2695, -4, 5\/3991?\nAnswer: 2695","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -154.420471 rounded to two decimal places?\nAnswer: -154.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37657 - 19480 - 2*u - 20046 to r*u + q and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -46\/11, -104, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3078 and 8829.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.3 - 4. Let s = 0.121 - 0.121. Let m = s - l. Which is smaller: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -5*q**2 - 2965*q - 2960 = 0?\nAnswer: -592, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 + 2*s - 3. Let k be m(-5). Let o = -3 + k. What is the remainder when o is divided by (-56)\/(-6) + (-4)\/12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248*i = -0*i - 4464. Solve 53*o - 35*o = i for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 5*u**4\/6 + u**3\/6 - 5*u**2 - 3. Let i(g) be the second derivative of y(g). Let c(x) = -2*x**2. Determine c(i(d)).\nAnswer: -800*d**2 - 80*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 0*h**2 - 8\/3*h**3 + 13 + 0*h + 5\/4*h**4. Find the third derivative of q(z) wrt z.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 9, 0.2, -0.03, -17 in increasing order.\nAnswer: -17, -0.03, 0.2, 0.4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*k + 8. Suppose k = -o - 16 + 6. Put o, -3, 0 in decreasing order.\nAnswer: 0, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39654945?\nAnswer: 3, 5, 11, 80111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27716 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 1 (b) -1 (c) -0.2 (d) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1031 divide 351981639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178774 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-12)*(-8)\/(-32).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/60 + (-14)\/8 + 2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*c = -129883, 5*c - 31271 = -m + 33664. What is m rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 40*f**2 - 129*f + 24. Calculate the smallest common multiple of x(43) and 567.\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - -2 - (8\/(-2) - (15 - 22))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/80 and -79\/440?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*v = 0, w = -w - 4*v. Suppose w = -3*n + 132 + 102. Is 26 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-23)\/y)**22*y**(-1\/5)*y\/((y**(-32)\/y)\/y) assuming y is positive.\nAnswer: y**(-2356\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 348233?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, r: 6, b: 3, u: 4, e: 2}. Give prob of sequence uue.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -1\/6, -0.5, 70, 67 in decreasing order.\nAnswer: 70, 67, -1\/6, -2\/11, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of k**8\/168 - k**7\/35 + k**6\/20 - k**5\/30 + 14*k**2 - 2. Let g(f) = 0. What is f?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082619429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a**2. Let u(p) = -p**2. Give m(w) + 2*u(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -542*i**2. Let u(l) = 2*l - 292. Give u(y(d)).\nAnswer: -1084*d**2 - 292","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = w - 4*k, -11*w = -6*w + 5*k - 25. Factor 0 + 0*i**2 - 1\/6*i**4 + 0*i**w + 0*i.\nAnswer: -i**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3572481 is divided by 132300.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -351 = -4*f + 185. Calculate the remainder when f is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is aa7 + 1634?\nAnswer: 251b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3955 + -3885. Let v(d) = d**2 - 6*d + 7. Suppose -19 = -n + 3*w, 5 + 8 = -n - 5*w. Calculate the smallest common multiple of c and v(n).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((-1 + sqrt(171))*5)**2 + 1 + 3 + 1*sqrt(171) + (sqrt(171) - (sqrt(171) + (sqrt(171) + -1 - sqrt(171)))**2) + 4 + -5).\nAnswer: -24786 + 828*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 338 - 52. Calculate the remainder when y is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -78 and -8.\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -aa93 (base 11) to base 16.\nAnswer: -391e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.4, 5, 0.1, -8, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18340)\/(-6550)*20\/(-49)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1015 by -7.\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-10)*3126600\/60795?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 + 2784*k**3 + 4*k**2 - 2*k**2 - 5617*k**3.\nAnswer: -2833*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2730 - -2730.1. Which is greater: 567 or r?\nAnswer: 567","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -629*f**3 - 140745*f - 1 + 140745*f.\nAnswer: -629*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 9) to base 5\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 8*m - 10. Let a be v(4). Suppose -3*g = -12 - 0. Suppose -3*l + 43 = 2*l - g*r, 0 = 5*r + 10. Solve a = 3*s + l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 2*g**2 + g - 6. Calculate z(-3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -457 less than 2450?\nAnswer: 2907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3743365 or -3743373?\nAnswer: -3743373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -2234587\nAnswer: 893834.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 18*u**2 - 34*u + 276. What is p(19)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 4:36 AM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4709, -5327, -6345, -7763, -9581?\n\"Answer: -200*n**2 - 18*n - 4491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j. Let p be o(0). Suppose -5*d + 4*w + 25 = p, -2*d + 5 = -d - 2*w. Suppose 0*n + 20 = 5*n. Is n greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5489316 and 77?\nAnswer: 60382476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.5345199 nanograms?\nAnswer: 0.0000000005345199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 1 + 3 = 0. Suppose -4 = w*k + 3*s - 16, -5*k + 4*s = -15. Let z = k + -3. Solve 2*l + 2*l = z for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/4*p - 1\/2 + 1\/4*p**2 + 1\/4*p**4 + 3\/4*p**3 = 0. What is p?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = m + 76248 - 23983, -3*m = 3*y - 156807. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -3*b**4\/8 - 78783*b**3\/8 + 8702781*b**2\/8 + 9254223*b\/8 - 26344629\/4 = 0.\nAnswer: -26371, -3, 2, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/90)\/(9\/(-2) + 4)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-5) - 2)\/(4\/530). Let y = o + 859. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**2 + 4005 + 954 - 3*o + o.\nAnswer: -4*o**2 - 2*o + 4959","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 84, 172, 260, 348?\n\"Answer: 88*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/(x*(x**0*x*x)\/x)))\/x*x)\/(x*x\/((x**3*x)\/x)))\/(x**(-13)*x**(-8)\/x*x) assuming x is positive.\nAnswer: x**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1*m)**(-2\/27)*m*m*((m\/(m*m**(2\/17)))\/m)\/m*m*m**(-2\/11)\/m*m assuming m is positive.\nAnswer: m**(2789\/5049)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 6 - 2*n + 1 + n**3 - 10 - 2*n**2 - 3*n**2. Let c be (-24)\/(-15)*(68\/8 - 6). Give q(c).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*n**2 + 3 - 3 + (410*n - 146*n - 113*n)*(2*n + 3 - 3).\nAnswer: 295*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 868 + -853. Is f - (13\/52 + (-18)\/8) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -54106 + -1?\nAnswer: -54107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 116 - 68. Let i = -47 + o. Is (347 - (i + 0))*8\/16 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10101020102 (base 3) to base 12\nAnswer: -325a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1848785 and 215?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 217\/11, -2, -0.1.\nAnswer: -2, -0.1, 3\/4, 217\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8947843 a multiple of 434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 22, 20, 14, 4, -10?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13370, 26741, 40110, 53477, 66842?\nAnswer: 80205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 3:48 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-81)\/18*(-230)\/3 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/118490 and -47\/4985190.\nAnswer: 1440719910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9812 - -2501. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 1393 + 932. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -2)*(-9)\/(90\/(-20)). Let q = -3 + 6. Suppose -538 - 16 = -5*x - z*g, 0 = x - q*g - 121. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 13)\/11 + (10 - 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 14, j: 5}. What is prob of picking 4 j?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 604 divided by 151\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 406a060 + 4?\nAnswer: 406a064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**2 - 7*y**2 + 8*y - 2*y**4 - 7*y**2 + 10*y**3 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f - 8. Let x be g(-14). Suppose 0 = j - y - 5, -x*j + 2*j + 5*y + 15 = 0. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 23. What are the prime factors of 21 + -3 + t\/(-3)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 12:14 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2482713.\nAnswer: 3, 311, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -24, -25, -18, 3, 44, 111, 210?\n\"Answer: l**3 - 2*l**2 - 2*l - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 3)\/(408\/(-391) - 23 - -24)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 5*m + 54. Let o be v(10). Suppose o*r + 6*r = 0. What is the second smallest value in 10, r, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6735, 27403, 62007, 110559, 173071, 249555, 340023, 444487?\nAnswer: 562959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 555432\nAnswer: -1\/555432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-104)\/182*(-1127)\/23.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.18 - 75.18. Which is the third biggest value? (a) 1 (b) -4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 421*o**3 + 1719*o**3 - 1482*o**3 + 4147*o**3.\nAnswer: 4805*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -7*h + 769. Determine m(107).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*d**2 - 18*d**3 - 13*d**2)*(-4*d + 2*d + 4*d) - 158*d**4 - 18*d**4 + d**3 + d**3 in the form y*d**2 + j*d**4 + u*d + c + l*d**3 and give j.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -236.108 to the nearest integer.\nAnswer: -236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 596877*p**4 - 495575 with respect to p.\nAnswer: 2387508*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*q + 2696 + 388 = 0 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 958487883?\nAnswer: 3, 73, 709, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11375 and 1769264.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-27)\/(-18)*7724\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -7. Suppose -u*n - 25 = -c - 6, 2*n + 11 = c. Solve -5*d + 4*x = -c*d - 8, 0 = -2*d + x + 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3\/8 - 69*f**2\/4 + 591*f\/8 - 225\/4.\nAnswer: -3*(f - 3)*(f - 1)*(f + 50)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q + 500. Let d(f) = -3*f + 1480. What is -2*d(y) + 7*i(y)?\nAnswer: -y + 540","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1923 - -2100. What is the greatest common factor of 2006 and t?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 480 and 33240.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3))**(2\/15)*(h**(-2\/7)\/h)\/(h**(-2\/3)*h*h) assuming h is positive.\nAnswer: h**(-317\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from bqqqbqbqbqqqqq.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*v + 90 = 0. Suppose 0*y = -3*y + v. Let q = 14 - y. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - u + j + 9, -u = -5*j. Let d = -10 - -12. What is the highest common divisor of d and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 6*d - 2. Determine u(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttc when three letters picked without replacement from {t: 4, c: 6, e: 5}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2 - 84*p - 304 = 0. What is p?\nAnswer: -38, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 571956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -55 - (-75 - -37) - (-15 + 5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 29\/(-9) + (-24)\/(-108). Let z(q) = -512*q + 25. Is z(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 403.\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1563271 to the power of 1\/3, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -19 and -35335455390.\nAnswer: -35335455409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 4*o**2 + o + 5. Let u be p(-4). Suppose 7 - u = 3*c. What is the smallest common multiple of c and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1503113 - -20?\nAnswer: 1503133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/3 - 16\/3*x - 4*x**2 = 0. What is x?\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 104 = -2*f, -5*f = 2*z - 0*z + 244. Let b be 7\/((f\/20373)\/(-2)). Let w = b + -5931. Calculate the common denominator of 43\/16 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**3 + 5*x**3 - 2*x**3 + (-3*x - x**2 + 3*x)*(5*x + 2*x - 5*x) + 26*x - 26*x + 15*x**3.\nAnswer: 14*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q. Let v(t) be the second derivative of -t**5\/30 - 19*t**3\/6 - 24*t. Let s(n) be the second derivative of v(n). Determine s(h(y)).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 2*f + 12. Differentiate 3 - 1 + 3 - f - k wrt k.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7 or -0.0034?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 175 and 560.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -38?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*i + 4*i + 4*i + i + (3*i - 5*i + 4*i)*(4 - 3 + 4).\nAnswer: 13*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.879364ml?\nAnswer: 0.004879364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32.7 + -66.7. Put x, -4, 0.5 in decreasing order.\nAnswer: 0.5, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 8, -12 in increasing order.\nAnswer: -12, 8, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2476 + -27238\/11. Which is the nearest to 1.55? (a) x (b) -1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34314223141 + 2?\nAnswer: -34314223134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 + 12*i - 6. Let c be b(12). Let n(r) = r**3 + 9*r**2 - 9*r - 11. Let f be n(-7). Let v = c + f. Solve d = -v - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*c - 5124985 = -37*c - 1047433. What is the thousands digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35994 - -36017. Solve -56*n + r*n - 84*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) - sqrt(1700)*2)*1*6)**2.\nAnswer: 61200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -199\/2 + 100. Which is the nearest to s? (a) -5 (b) 3\/8 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210078*o**3 - 420142*o**3 + 210066*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 280 - 279.9. Which is the fourth smallest value? (a) 3 (b) -4 (c) q (d) 1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.5 + 9. Let w = -19\/75 + -2\/25. Which is the biggest value? (a) w (b) 2\/11 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**3 - 39*y - 39*y + 78*y.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 13 = 101*i - 103*i, 4*i - 5*d - 15 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and -732907445.\nAnswer: -732907447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14112171.\nAnswer: 3, 522673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -11*a + 1. Let p be l(-1). Calculate the highest common factor of 18 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3086?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -34\/61 greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(100\/(-16)) - 33\/(-15). Suppose -24243 = -6*a + y*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 1\/30*v**6 + v + 0*v**4 + 0*v**2 + 0*v**5 + 0 + 1\/3*v**3. What is the second derivative of x(q) wrt q?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -411222, -411195, -411134, -411027, -410862?\n\"Answer: 2*c**3 + 5*c**2 - 2*c - 411227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19.509 + -0.459. Let x = b - 19. Let h = x - 0.04867. Round h to four decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 5445433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 1:17 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.336704*0.4.\nAnswer: -0.1346816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, m: 4, i: 2, t: 2, d: 1, p: 6}. What is prob of sequence tb?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) 0.4 (c) 4 (d) -0.459\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 5, -2\/5, 11 in ascending order.\nAnswer: -2\/5, 3\/4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 13 - 8 = 0. Let c be 0 + (m + -2 - 3). Sort c, 4, 3 in increasing order.\nAnswer: c, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 648 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15384.\nAnswer: 2, 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 46, 1, 0.13 in descending order.\nAnswer: 46, 1, 0.13, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/30*(-2 + (-44)\/(-16)). Determine c so that 0*c**2 + o*c**3 - 4\/5 - 6\/5*c = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 5*v + 9, 0 = 5*v + 3 - 18. Let u(i) be the first derivative of 1 - i**y + 0*i + 1\/3*i**3. Determine d, given that u(d) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 27*l**2 - 93*l + 25. Let z be p(6). Solve -24*c + 79 = z for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -6847498*i**2 + 5*i - 12. Let h be g(-4). Round h to the nearest 1000000.\nAnswer: -110000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 0*g = -3*g - 22, 0 = -4*p - 4*g - 8. Suppose -7*f + 11 - 11 = 0. Solve -2*o + 7*n - 3*n - 14 = 0, f = -5*o - p*n + 25 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 516 is divided by 327?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -170143806 by 3.\nAnswer: -56714602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -113 (b) 7 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 206161*l + 1030803. Determine v(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 428731 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4577*w + 77765. Give u(17).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31781385?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 558 + -565.18. Let q = 0.18 + m. Let f = q + 8. Which is the nearest to -1? (a) f (b) -0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -2*a + 5 + 1, -7*a + 2*j - 54 = j for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -71.949 + -0.051. Let x = q - -383. Let t = x - 310.999837. Round t to 5 dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -5 - (-2 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/55480 and 43\/339815?\nAnswer: 2718520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3.52 or 2\/655?\nAnswer: 2\/655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + 0. Suppose -2*n = -0*n - 4. Suppose n*x + 6 = 2, 4*q + i*x = -5530. What is q rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -5 (b) -47 (c) 11658\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of f**7\/105 - f**5\/30 - 3*f**2 + 5. Let i(s) be the second derivative of h(s). What is the third derivative of i(o) wrt o?\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*v + 6, -c - 25 = 4*v - 29. Let g(s) = -318*s - 3. What is the thousands digit of g(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1 - 1 + 1 + 21*m**2 - 18*m**2 wrt m?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10021200012 - 2201?\nAnswer: 10021120111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - p - 12 = -3*p, -4*f - 4*p = -16 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 219098.80609 rounded to the nearest 10000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 44*n**2 - 233*n - 34. Is m(-40) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f2d (base 16) in base 12?\nAnswer: 22b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - y = -47, -2*y = -0*a + 5*a - 44. Calculate the lowest common multiple of 40 and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 12)*(0*l - l + 2*l + (2*l - 3 + 3)*(0 + 0 + 2) - 4*l + 3*l + 3*l + 0*l + 0*l + l + 0 + l + 0) - 20 - l + 20.\nAnswer: -91*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.59 smaller than 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32948354.\nAnswer: 2, 16474177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -379, -3780, -12229, -28000, -53367, -90604?\nAnswer: -141985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 848, 3, -1 in increasing order.\nAnswer: -1, 3, 848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + y + 3*y)*(y + 4*y - 4*y)*(y - 2*y**3 - y)*(-5 - 3 + 11).\nAnswer: -12*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 12*d**2 - 1468*d + 11482. What is c(8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 207*s**2 - 3*s + 28. List the prime factors of z(6).\nAnswer: 2, 7, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6143143?\nAnswer: 317, 19379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1375 by 11.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 8*b + 9. Let s be x(7). Let w = -11 + 13. Let q be w - (-6 + 3 - -3). Calculate the highest common divisor of q and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200 a factor of 2053353250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 807250348?\nAnswer: 2, 9203, 21929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4080 divided by -408?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 411096457 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 275 + 251. Let p = 520 - o. Does p = -62\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5212 and 33.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mmrm.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/864 and 29\/322731.\nAnswer: 10327392","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -10241 + 10241. Which is the nearest to u? (a) -1\/3 (b) -2\/281 (c) -1 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -72b - 1ce?\nAnswer: -90a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18015.4 - -18017. What is the biggest value in 2, b, 1, 3\/19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d - 2. Let b be i(-8). Let h be -2 + (-843)\/(-273) + b\/42. Which is smaller: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10456 - j**2 - j - 3*j + 5232 + 5271 to the form f*j**2 + d*j + s and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 5*n**3 + 13*n**2 - 13*n + 6. Let y(i) = 4*i**3 + 12*i**2 - 12*i + 5. Let t(b) = 5*q(b) - 6*y(b). Let g be t(6). Let a(m) = m. Determine a(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w = 15*w - 5*o - 139408, 3*o + 174286 = 5*w. List the prime factors of w.\nAnswer: 2, 17431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166, -625, -1384, -2437, -3778?\nAnswer: -5401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2299) - 2*sqrt(2299)) + 5 + 1 + (sqrt(2299) - (-2 + sqrt(2299))) - 2*-3*((sqrt(2299) + -2 - sqrt(2299)) + sqrt(2299))) + 3)**2 + 4.\nAnswer: -110*sqrt(19) + 57480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*l + 1 = -5, 0 = z - 3*l - 6. Suppose z*t + 6 = 3*t. Calculate the remainder when (t\/4)\/(2\/44) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -5*g + 5505, 2*g = -7*t + 12*t + 2167. What are the prime factors of g?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72915220 a multiple of 574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 190 = 5*g - 2*h, -3*h = 3*g + 114. Let l = g + 40. Suppose 3*v - 155 = -l*i, v = 4*i - v - 270. List the prime factors of i.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/144)\/(7\/646541). Let b = 3846 - w. What is the common denominator of b and 3\/2*28\/90?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -34727 + 22?\nAnswer: -34705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 35175378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 6*z**2 + 8*z - 3. Let x be i(7). Suppose 0 = 14*j + 107 - 23. Put j, 5, x in decreasing order.\nAnswer: 5, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (((-1425)\/10)\/3)\/(-3 - 355\/(-120)) is divided by 380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 15*z**2 + 34*z + 21. Determine j(17).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p*(p*p**(1\/7))\/p)\/p**1)\/(p\/(p**2*p*p)*p**(-1\/3)*p) assuming p is positive.\nAnswer: p**(94\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 152.2 times -11.9\nAnswer: -1811.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b + 1. Let w be q(2). Solve -2*m = m + w for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1353)\/(-3) - 1*(-5 - -2). Suppose -h = -3*o - 67. Is 15 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -0*d + 4*d. Is d smaller than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1760, -3533, -5318, -7121, -8948, -10805, -12698, -14633?\n\"Answer: -q**3 - 1766*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4429316 is divided by 1018?\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -920, -3333, -7344, -12959, -20184, -29025, -39488, -51579?\n\"Answer: -a**3 - 793*a**2 - 27*a - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -5*c**2 - 35915*c + 22012840 = 0.\nAnswer: -7751, 568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 116 - 107.2. Let w = -9.5 - -0.17. Let y = w + t. What is y rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30 in -2\/51, -2\/19, -2\/11, 1\/7, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -651 + 415. Calculate the common denominator of ((-2)\/208)\/(5\/w) and 69\/104.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-9)*(-24)\/252*9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -2*p, h - 3149 = 6*p - 3163 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**2 - 4*y**2 - 2*y**2 + 2*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 184 + -184. Suppose 0 = -12*q - x*q + 1608. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86, 94, 104, 116, 130, 146?\nAnswer: 164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -34.1 (b) 2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**7\/1680 - g**5\/240 - g**3\/2 + 3*g. Let u(a) be the second derivative of c(a). Solve u(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -1\/4 (c) 0.076 (d) -19 (e) -1 (f) 1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1732 - -141?\nAnswer: 1873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1188 + 4703\/4. Calculate the common denominator of q and 65\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000445237487 to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118526 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-27) - (32\/24)\/(-1). Let c = 1\/41 + 79\/123. What is the closest to c in 3, -1\/10, x?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -62.313 to 0 decimal places.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 121 and 117821?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -480, -588, -696, -804?\n\"Answer: -108*n - 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -31 + 116 - 71 - 23*z**2 as r*z + y + t*z**2 and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j - 60 = 0. Let h(k) = -61*k - 4431. What is the remainder when j is divided by h(-73)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a kilometer in meters?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 - 35*o**2 - 868*o - 832.\nAnswer: (o - 52)*(o + 1)*(o + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 7*r - 8. Suppose -7 + 0 = g. What is v(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0651 times -5?\nAnswer: -0.3255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 349.6969 tonnes in kilograms?\nAnswer: 349696.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**3 - 6*f**2. Let m(i) = -2*i**3 + 4*i**2. Let z(p) = -5*l(p) - 8*m(p). What is the third derivative of z(r) wrt r?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 641*t - 15398. Give s(24).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 278*g + 3492. Give m(-12).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 1 + 1)*(-b + b + b) + 93*b**2 - 6 + 4 - 75*b**2 + (9 - 9 - 2*b)*(2 - 2 + b).\nAnswer: 18*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1079677278 to the nearest integer?\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 634 (base 7) to base 8\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 19.11. Let i = 0.89 - s. Let d = -4\/17 - -33\/68. Which is smaller: i or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 11:11 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 9) to base 8\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/29, -382, 99, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*q**3 - 1095*q**2 + 18*q**3 - 38*q**3.\nAnswer: -q**3 - 1095*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2816*6\/(-6)*-1 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/160 and 13\/86324820.\nAnswer: 690598560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166465937.\nAnswer: 11, 389, 38903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2383 - -3533. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 119332437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(((g\/(g**(-11)*g))\/g)\/g))**(-9) assuming g is positive.\nAnswer: g**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2396300 rounded to the nearest 10000?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9957059093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 925973383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 9*p**2 + 10*p + 10. Let c be a(10). Let n be c - (-2 - -4 - 0). What are the prime factors of n*(-1)\/(-1)*5?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2903 less than -830?\nAnswer: 2073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w. Let d(n) be the third derivative of n**5\/8 - 5*n**3\/6 - 6*n**2. Let g(h) be the first derivative of d(h). Calculate g(j(m)).\nAnswer: 30*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-26)*2\/5. Let x = 2686\/3 - 903. Let w = x + 7. Sort -2, w, p in decreasing order.\nAnswer: p, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4\/4 + 3*b**3\/2 - 3*b**2\/4 - 5*b\/2.\nAnswer: -b*(b - 5)*(b - 2)*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -37? (a) 0.3 (b) 1\/8 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*v = 12, -15 = -3*v - 2*v. Let s be 22\/5 + (-2)\/5. Suppose -5*z + w = -z + f, -s*z - 3*f + 1 = 0. 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 628238365 to the power of 1\/2, to the nearest integer?\nAnswer: 25065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236*-2594049.\nAnswer: -612195564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (-2 - 1)\/1. Suppose -4*z + 3*y + 191 = 0, -a*z - y + 57 = -70. Calculate the remainder when z is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**3 + 14*x**2 + 10*x + 3. Let g(p) = -p**3 + p**2 + 1. Let z(u) = -6*g(u) + 2*y(u). Factor z(d).\nAnswer: 2*d*(d + 1)*(d + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21557970 * 10\nAnswer: -215579700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 2. Let y = 16612\/71 - 234. Which is greater: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4259 or 4258?\nAnswer: 4258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*z**2 - 4*z**2 + 5*z**2)*(-9135*z + 9132*z + 4 - 2) + 3*z**2 - 3*z**2 + 2*z**3 as c*z**2 + m*z**3 + y*z + g and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-22) + 70\/22. Let s = -6\/25 - -11\/25. Let p = -4\/23 + -7\/92. Sort p, s, r in decreasing order.\nAnswer: r, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 276, 200, 54, -180, -520, -984, -1590?\n\"Answer: -3*g**3 - 17*g**2 - 4*g + 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61 + 33. Let k = -28 - i. Which is smaller: 3\/4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 8:11 AM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -9*q + 6 + 9*q - 2*q. Let p be b(4). Sort -3, p, -5 in descending order.\nAnswer: p, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -150, -151, -152, -153?\n\"Answer: -c - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 19265*-0.07\nAnswer: -1348.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 6 = -2*p - 0*b, -12 = 4*p - b. Let a be 5 - (6 + -2 + p). Find the second derivative of -6*l + 2*l**a + 3*l**4 + 13*l + 3*l wrt l.\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-11))**(-27)\/((d**(2\/5)*d)\/d*d\/(d*d\/(d**(2\/5)\/d)*d*d)))**(-27) assuming d is positive.\nAnswer: d**(-40527\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1350 and 41\/12.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -134 (base 7) to base 15.\nAnswer: -4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - -2903.\nAnswer: 2934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 119.601363 hours to weeks.\nAnswer: 0.711912875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12583\/4 + 3146. Let 1\/4*h**3 + 0 - 1\/4*h**5 - 1\/4*h**2 + 0*h + w*h**4 = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (63\/6)\/(1\/22). Round n to the nearest ten.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46332, -92645, -138960, -185277, -231596, -277917?\nAnswer: -324240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 347*v + 33*v + 94*v in the form l + q*v and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w - 21*w = -216. Let z(v) = -57*v**2 + w*v**2 + 40*v**2. Let i(j) = j**2. Calculate i(z(g)).\nAnswer: 1369*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1733426.\nAnswer: 2, 866713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 153548441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -12132272\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/200, 1, 0.095, -0.6, -1 in decreasing order.\nAnswer: 1, 0.095, -1\/200, -0.6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10121739 or 10121737?\nAnswer: 10121737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -58 + -5?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*g + 105*g + 2 = -4*i, 5*i + 4 = -3*g for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q - 10*q = 5*i + 7, 5*q = 4*i - 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 111*j**2 + 63*j - 22. Let l(v) = -75*v**2 - 42*v + 14. What is -5*a(t) - 8*l(t)?\nAnswer: 45*t**2 + 21*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**5\/20 + w**4\/12 - w**3\/2 - 5*w**2\/2 + 15*w. Let r be k(-3). Is 19341\/r*(-2)\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 0.068021.\nAnswer: 0.0068021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ypzpoyygop?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*o - y + 51, -o + 17 = y. Let r = 12 - o. Let d = r + 10. Solve -d*l = -0*l - 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37 - -42) + -42 + 44?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + a - 28 = 0, 0*a = w - 4*a + 28. Let o = 56 + w. Let t = o + 11. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) - (0 + sqrt(1331))) + -5)*-2 + -4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8493\/8 - -1063. What is the common denominator of p and 12\/(-42) + 884\/(-42)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -48, 4, -124, 3?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3376 + -3369. What is the closest to -1 in 0.13, w, 3, 2?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65830, -65830, -65832, -65836, -65842?\nAnswer: -65850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62952377 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -10*x**3 - 2*x + 19. Let k(c) = -10*c**3 - 3*c + 20. Let q(t) = -2*k(t) + 3*r(t). Find the first derivative of q(h) wrt h.\nAnswer: -30*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 17*f + 16*f + 15 = 0, -28 = -4*n - 4*f for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g**3 - 2*g**2 + g - 10. Is a(3) a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 4637*h - 229324. What is u(50)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202203 is divided by 12636.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -907\/2 + 3146\/7. What is the common denominator of o and -91\/94?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*v = -3*i - 2018, 2515 = -5*i + 5*v. Let k = i - -530. Suppose -19 = -5*t + 2*p - p, -3*t + 4*p = -8. Solve -k = t*a - 10 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 23. Let u(l) = l**2 - 3*l + 3. Let s be u(k). Find the second derivative of -s*t**4 + 11*t - 16*t**4 + 7*t**4 wrt t.\nAnswer: -192*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59952 and 2340626?\nAnswer: 2498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -477402 + 998611. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w - 4*w + 0*w)*(-2 + 2 - 3*w) - 3 + w**2 + 2*w + 3.\nAnswer: -2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -b**4\/12 - b**3 + 3*b**2 + 7*b. Let j(n) = -n + 1. Let p(i) = f(i) - 6*j(i). Let d(w) = 3*w. Give p(d(x)).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) - sqrt(243)) + 1 + sqrt(27))**2.\nAnswer: -6*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -471*g**2 - 15082*g**2 + 4864*g**2 - 8632*g**2.\nAnswer: -19321*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88 (base 16) to base 13.\nAnswer: a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40430, 82210, 123990?\nAnswer: 165770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -872 divided by -58\nAnswer: 436\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 16.9*-3.0028\nAnswer: -50.74732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hiviiyvhvvi. What is prob of picking 1 v and 1 y?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i - 11. Suppose 4*k - 2*m = 18, 2*m - 13 - 5 = -5*k. Let r be w(k). Suppose -3*s - 22 = -r*s + p, s - 4*p = 18. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ez when two letters picked without replacement from bzeeztzgbeebzzzz?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4451 + 4451. Sort t, 4, -2, 74 in ascending order.\nAnswer: -2, t, 4, 74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 1349 = t - l, -3*t = l - 4053. Let f be t\/28 - 2\/7. Let o = f + 3. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -2 + -9*112\/(-144).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -162*j**3*z + 2*j**3 - 5*j**2 - 2*j*z - 2*z wrt j.\nAnswer: -972*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 6:25 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, b: 11}. What is prob of sequence bjb?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -691*s + 696*s + 40 = 2*a, a - 3*s = 21 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/9)\/q)\/(q\/((q*(q\/q**(-2))\/q*q)\/q*q))*(q*(q\/(q*q**(2\/7)))\/q)**(2\/31) assuming q is positive.\nAnswer: q**(3436\/1953)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -5.8. Let t = 8.7 - 8.744. Let g = t + 0.014. Which is bigger: g or c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -269 - -411. Let y = 141.874 - z. Round y to two dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1118 (base 11) to base 16\nAnswer: 5bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -561392, -561414, -561434, -561452, -561468?\n\"Answer: f**2 - 25*f - 561368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -3*w + 152, 37 - 133 = -4*z + 4*w. Let s be 3\/6*0\/3. Suppose -25*o + z*o - 537 = s. List the prime factors of o.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -164, -393, -622, -851, -1080?\n\"Answer: -229*t + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*((-3)\/(-4) - (25\/20 - 3))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i = -6. Suppose -i*y + 1 = 4*c - 5*y, -2*c - 12 = -4*y. Solve 16 = -2*o - 2*t + 2, 0 = o - c*t - 3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + p + 5. Let i = 29 - 29. Calculate c(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4*f**3 + 5*f**2 - 2*f - 4. Let w be p(1). Solve 3*s - l = -5, -5*s + w*l = 6*l - 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*q**2 + 10*q**2 - 9*q**2 + (0 - 3*q + 0)*(0*q - 4*q + 3*q))*(-74*q + 48 - 66*q + 144*q).\nAnswer: 56*q**3 + 672*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(5)*2 + (-5 + sqrt(5) + -1 + sqrt(5))**2)*-6*-1.\nAnswer: -192*sqrt(5) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02 - 0.42. Which is the closest to 3? (a) l (b) -2\/49 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*c + 183 = -419*c + 4083 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 7*p**2 + 7*p + 9. Let z be s(-6). Let l be z\/2*(-16)\/(-12). Solve l = 3*f - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41179, -3, 2\/3, 3.\nAnswer: -41179, -3, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2214055 (base 6) in base 2?\nAnswer: 11011000111010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 96667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 2*u**2 + 2. Let g be q(-2). Suppose -g*s - 52088481 = 5*z + 1911521, 4*z - 4*s = -43199996. What is z rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -86*s**5\/5 - 232*s**3\/3 + 182. Find the third derivative of m(v) wrt v.\nAnswer: -2064*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(6050)\/sqrt(5))\/(((sqrt(10)*1)\/sqrt(5) - sqrt(2)) + (sqrt(6)\/sqrt(3) - sqrt(2) - sqrt(2))*-6)*-6.\nAnswer: -66*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b - 1 + 1 + (0 + 2 + 2)*(0*b - b + 0*b) + 89 - 19*b - 89 + (-2 + 1 + 3)*(-3*b + 0 - 2 + b) + 3 - 2*b - 3.\nAnswer: -31*b - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 + 36167797?\nAnswer: 36167789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - ((-1)\/2)\/((21\/3)\/(-70)). What is the second smallest value in 1.9, h, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j - 15. Let i(o) = -2*o + 5. Let r be i(0). Let m be c(r). Suppose m*k = -g, 4*g + k = -0*k. Solve 2*n - 7*n = g for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 413114 (base 6) to base 2.\nAnswer: 1000000101000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 458741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**3\/3 - 4*y**2 + 3*y + 4. Let z be b(-6). Suppose 0 = -k + 216 - z. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 1. Suppose b*f - 4*f = -36. Let p = -4 - -14. What is the remainder when f is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12788.1 + 12788. What is the fourth smallest value in -39.9, -6\/7, k, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3409602431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o - 3*t + 42, 0 = -o - 2*o + 9*t - 305 + 341 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3066370?\nAnswer: 2, 5, 239, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 2 - 1 = -2*w, 299*m + 4*w = 300*m - 39 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1865.\nAnswer: 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1237*h + 592*h - 933*h)*(-3 - 7 - 7 - 4).\nAnswer: 33138*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -24*u**3 - 2*u**2 + u. Let o be d(1). Let z = o - -47. Suppose 0 = 3*v - z - 11. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/6 - 12\/(-72). Let f(d) = -d**2 + d. Let q(w) = w**3 - 4*w**2 - w. Let g(b) = n*q(b) + 4*f(b). What is the second derivative of g(a) wrt a?\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -17. Let z(m) = x + 6*m**2 - 11*m**2 - m + 13*m**2. What is the tens digit of z(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - t**2 + 3*t + 3. Let h be i(-4). Let s be h\/9 - 5\/15. Suppose 2*g = -s*g + 5*g. Solve g*l = -l - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 66\/5. Let f = -0.07 - 0.23. Put o, -4, f in descending order.\nAnswer: o, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a litre in millilitres?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3. Let z(b) = 6*b**3 - 13*b**3 - 10*b**3 + 3*b**3. Let i = -1161 + 1159. Calculate i*z(o) - 18*k(o).\nAnswer: 10*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 136\/765*42\/56?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -301*k + 111669. Calculate d(371).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 3023497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.5*4.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vuu when three letters picked without replacement from vuuuuuvuuuvuuuuvuu?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-955)\/(-10) - (-5)\/2.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k**4 + 0*k**3 - 12*k**4 + 3 - 6*k**4 - 2*k**2 - 6 - 6*k**3 as g*k + m*k**4 + o + c*k**2 + d*k**3 and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 123 and 423.\nAnswer: 17343","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -i**4\/6 + 6*i. Let s(w) = -2*w. Give j(s(q)).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -13*l**2 + 73*l**3 + 11*l + 3 - 66*l**3 + 5 + 1. Let c(h) = -3*h**3 + 6*h**2 - 4*h - 5. Let i(r) = 5*c(r) + 2*d(r). Give i(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37504*q**4 - 101830*q**2 wrt q.\nAnswer: 900096*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.93 + -0.07. Is -1\/4 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**5*k*k)\/k)\/k*k**(-30)*k assuming k is positive.\nAnswer: k**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 18 + (24\/104 - 2307\/195).\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 16 = -g, 2*u + 3*g - 18 = 0. Suppose -u*y = -8*y. Let a(s) = y*s - 3 - s + 3. Let l(x) = x**2. What is a(l(f))?\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 110100010100001 (base 2) in base 11?\nAnswer: 19140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * -0.018\nAnswer: 0.0108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1155.5 rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7656586*z**2 + 7656586*z**2 - 1092*z**3 - 1862 with respect to z.\nAnswer: -3276*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12044175 a multiple of 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 14237818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7}. Give prob of sequence zzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1233 + 1236. What is the closest to 2 in g, -5, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/5 (b) -4 (c) -0.4 (d) -20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9402\/7 + 1343. What is the closest to -0.1 in 7, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -21, -6, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a - 18. Let r be i(-10). Let j be (r - -4)\/3 - 2. Suppose -3*u + 117 = -j*u. List the prime factors of u.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gq when two letters picked without replacement from {r: 1, y: 1, q: 1, c: 1, g: 2, f: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - 121 - (1 - 2). Let s = -38 - v. Let o = s + -47. Solve 0 = -r - 5*i - 22, -4*i - o = -4*r + i for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxi when three letters picked without replacement from xixxs?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -28, -53, -78?\n\"Answer: -25*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/25 in -3\/8, 1, -0.2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = 2*b - 0*o + o, 0 = 3*b - 4*o - 276. Suppose -3*m + b = 11. Calculate the highest common factor of m and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -1\/3, -3\/8, -2\/5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/15))**(-33)\/((x\/(x**(-18)\/x))\/(x*x**(2\/5))) assuming x is positive.\nAnswer: x**(-104\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1176196 by -1176196.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160925, 155686, 150435, 145166, 139873, 134550?\nAnswer: 129191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + (-1 - 0)\/((-16)\/(-112)). Let h be -2 + 86\/2 - 1. List the prime factors of (k + h\/12)\/(2\/(-51)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + p + 2. Let r be y(0). Let a(c) = -2*c + 3. Let w be a(r). Let u(v) = -5*v + 1. Let d be u(w). Solve 4*z + d + 0 = 2*o, 5*z = -5*o + 30 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1186633 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a - a**3 + 2*a + (2*a + 0*a - a)*(-4*a**2 + 3*a**2 + 3*a**2) + (-33 + 33 - 6*a)*(-129 + 129 + 35*a**2).\nAnswer: -209*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.527 and -11238242.9.\nAnswer: -11238243.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -112.7 - -113. Which is the smallest value? (a) 0.5 (b) l (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 8.93\nAnswer: 9.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xfx when three letters picked without replacement from {c: 1, x: 2, f: 1, z: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*1\/6*3. Let g = -2 - -4. Sort v, g, -3 in decreasing order.\nAnswer: g, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/40 + 13\/5. What is the third derivative of 3*c**2 + t*c**2 + 9*c**6 - 5*c**2 - 5*c**6 wrt c?\nAnswer: 480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462543 is divided by 2984.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -770 times -4\nAnswer: 3080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -16?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -t**5\/20 + 11*t**4\/12 - 2*t**3 + 23*t**2\/2 + 56*t. What is the remainder when 768 is divided by o(9)?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 307*c**5 + 6*c**4*m**3 - 2*c*m**3 - 381*c wrt c.\nAnswer: 6140*c**3 + 72*c**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 15289.9 to the nearest one hundred.\nAnswer: 15300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 87*s**2 + 70*s + 45. What is the units digit of j(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1 - 2*h - 1580*h**2 + 791*h**2 + 2 + 788*h**2.\nAnswer: -(h - 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1593.9 to the nearest ten.\nAnswer: -1590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*i + 639 = 4335. Solve -2*b - 25*h + 8 = -27*h, 0 = 4*b + 2*h - i for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 h when two letters picked without replacement from {s: 1, a: 1, x: 2, h: 1, n: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10210 = -22*w + 4200. Suppose -3*l = -12, -25*t + 5*l = -20*t - w. Calculate the highest common divisor of t and 360.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11.9 + -18.9. Let q = -47.2 + 12.6. Let f = g - q. What is f rounded to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-330 + 8*u + 330)*(0 + 3 - 5)*(2*u**3 - 14*u**3 + u**3).\nAnswer: 176*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o - 11. Let n be u(-11). Solve 5*m + n*m = -25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58969.\nAnswer: 109, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 279145 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/5196 and -19\/9?\nAnswer: 15588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6618554363.\nAnswer: 307, 21558809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of 2*v**2 + 1\/12*v**4 + 0 + 0*v**3 - 9*v. What is the first derivative of u(m) wrt m?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52*r**2 + 129*r - 129*r)*(-24*r**2 - 91*r**2 - 11*r**2) - 5*r**4 + 2*r**4 + 0*r**4.\nAnswer: -6555*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -81300\/103 <= -790?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -41 - 24. What is the common denominator of 162\/(-16)*(52\/(-3))\/j and 27\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-2 - 6) + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 4*j + 78, -2*s - j + 125 = 44. Suppose 2*q - s = z + 2*z, -q + 3*z = -28. What is the highest common factor of 52 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 divided by 1?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -85 (base 16) to base 15.\nAnswer: -8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 753.21 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-3))\/((-4)\/18). Suppose -2*q - v*h + 19 = 0, h + 2*h = -q + 17. Suppose q*o + 575 = 7*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 250433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/32 - 59\/160. Let i be 2\/4 + -2 - -2. Put d, 0, i in ascending order.\nAnswer: d, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 195 = -0*p. What is the remainder when p is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -56*l**3 - l**2 - 4. Does 55 divide h(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 27\/(-4) - 1\/4. Let n = 9 + l. What is the third derivative of 3*h**2 - 2*h**n - h**2 - 2*h**2 - 4*h**3 wrt h?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (33*b + 28*b - 29*b)*(2*b + 2*b - 2*b)*(4 + 0 - 1) to o*b**2 + k + i*b and give o.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 242\/6 - (2048\/276 + (-120)\/1380 - 8).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18534?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-22))\/d)\/d*d\/(d\/(d**23\/d)) assuming d is positive.\nAnswer: d**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 7*f**2 - 4*f - 4. Let d = 5 - 1. What are the prime factors of b(d)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*y - y - 1, 2*u + 3*y = -5. Let n(d) = d + 1. Let s be n(-1). Let j = 4 + s. Solve 2*a + j = -u*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 8 + 4*p + 5*p + 0*p - 8*p. Let s be f(-5). Let y(q) = -q**3 - 3*q**2 + 9*q - 4. Let m be y(-5). Solve s*b - 4 = -m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, 13, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -26 + 255 + -223 - (-15 - 0).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35348 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3666 a factor of 452487048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.440417 rounded to two decimal places?\nAnswer: 39.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**6\/120 - m**5\/30 + m**3\/6 - 2*m. Let y(k) be the second derivative of s(k). Find the second derivative of y(b) wrt b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 20*p**2 + 2*p + 40. Let h be u(-20). Solve -11*k + k - 10 = h for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -7 + 778*i - 394*i - 392*i. Determine o(-6).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 226262335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 191*s - 678 + 1854 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 56*k + 39. Let t be h(-3). Let c = 145 + t. Solve c - 12 = -l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 907 = 2*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from pypppypyppypfpyyypp.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0638 + 0.0278. Round y to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (272\/36 + -2)\/((-4)\/(-6)). Let v(n) = -n + 14. Let i be v(7). Which is smaller: j or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.375? (a) -0.2 (b) -3 (c) 3 (d) 0 (e) -0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4428, -8875, -13340, -17841, -22396, -27023?\nAnswer: -31740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -31\/2*g**2 + 0 - 29\/2*g**4 + 0*g - 1\/2*g**5 + 61\/2*g**3 = 0.\nAnswer: -31, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -589.633 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4140)\/93)\/(-5) - (-47)\/((-1363)\/261)?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -741, 0, -5, 5786?\nAnswer: -741","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 234761867?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12 or 79014\/5887?\nAnswer: 79014\/5887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m. Let t(j) be the second derivative of 1\/3*j**4 + 0 - 7*j + 0*j**3 + 0*j**2. Give t(l(o)).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -20*n + 376. What is s(19)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 369791.6 tonnes?\nAnswer: 369791600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -209.3677 * 2.\nAnswer: -418.7354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1326 - 1324. Suppose 12 = -0*w + 4*w. Solve -k*a = -w - 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 21*b**2 + 22*b - 39. Let r be w(20). Suppose g - 3 = r. Sort -4, 31, g.\nAnswer: -4, g, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 109 and -8.3638.\nAnswer: -911.6542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -6*p + 8. Suppose -5*v - 15 = -105. Solve 6 = -p*n + v for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/8)\/(((q*(q\/(q*q**(-1\/5)))\/q*q)\/q)\/q))\/(q**(2\/5)\/(q*q*q**(-1\/2))))\/(q*q*q*q**(1\/4)*q*q*q*q**4*q*q**4\/q**1) assuming q is positive.\nAnswer: q**(-489\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1985 is divided by 511.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1464581.\nAnswer: 79, 18539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32*p - 11*p + 182*p)*(-2 - 5 + 41*p**3 - 33*p**3) to q*p**3 + d*p**2 + l + a*p**4 + v*p and give a.\nAnswer: 1624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/3 + (-70)\/(-6). Let h = 15 - l. Find the third derivative of -2*z - 2*z + z**2 + 4*z - z**h wrt z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -924\/193 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 13*s + 11. Give c(15).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29868757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-49)\/28*4*(2 + -3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -78 - -21. Let p = a - -57. What is the second smallest value in -0.5, -3, p, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 112342809 to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 1:40 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*q + 2940 - 3595 = 10567 for q.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10.458 and 3.\nAnswer: -31.374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**3 + 2*p + 4*p**3 - 5*p**2 + 15 - 16 to j*p + d*p**2 + o + b*p**3 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1123159, 4 in ascending order.\nAnswer: -1123159, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 47503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence am when two letters picked without replacement from ssma?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 28 + 13 = 4*w, 2*x - 10 = -4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (12\/8)\/((-18)\/(-708)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1488396 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -7*z**4\/24 - 2*z**3\/3 + 7*z**2. Suppose 3*n - 96 = -0*n. Calculate the remainder when n is divided by c(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45.6 - -12.4. Let f = -57.8 + q. What is the fourth biggest value in f, 1, 0.5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 30. Find the first derivative of -40*c**4 + 4 + k*c**4 - 1 - 12*c**4 wrt c.\nAnswer: -132*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/(-24))\/(20\/88).\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7755, -29166, -64851, -114810?\nAnswer: -179043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*r + 20 = 5*a, -4*a + 30 = -r. What is the remainder when 19 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-5)*(-1)\/(-2)*1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2021.03 tonnes?\nAnswer: 2021030000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2511.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 2373641?\nAnswer: 2373637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8244 - -0.0496. Round z to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2 + 44*m - 35. Let r be x(20). Let k be (-16)\/(-6) + (-30)\/r - -37. What is the highest common divisor of k and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74643992 is divided by 34162?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 91 - 131 = -4*n, -2*m = -4*n + 208. What is the remainder when 314 is divided by n?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*n - 0. Solve 5*y + 4*g = -31, 3*y - 10 = -n*g - 27 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -10*a. Let w(q) be the second derivative of 0*q**3 + 1\/12*q**4 + 0*q**2 - 7*q + 0. Give v(w(o)).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - a4?\nAnswer: -a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - 2*r + 18, -4*g - 9*r = -11*r + 34 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j. Let v(w) be the first derivative of w**5\/60 - w**2\/2 + 1. Let k(u) be the second derivative of v(u). Determine k(r(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2074.18365 minutes in weeks?\nAnswer: 0.2057721875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.67 + -43.33. Let w = -292 + 341. Let y = j + w. Which is the second biggest value? (a) -3 (b) y (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*a - 5*d - 5, 0 = -3*a - 3*d + 42. What is the lowest common multiple of 22 and a?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/15 - 4*q.\nAnswer: -2*q*(q + 30)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 5\/123603048?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of 31*h**7\/70 - 7*h**4\/3 + 19*h**2 - 3. Find the second derivative of l(d) wrt d.\nAnswer: 1116*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/3 + 13\/12. What is the biggest value in 2\/5, 1\/3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-2)*g**(-2\/13)*g*g*g**(2\/21)*g**8)**(-22\/9) assuming g is positive.\nAnswer: g**(-77726\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1001 (base 5) to base 6\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + (-14)\/(-4))*2. Suppose 4*r - 77 = q*l - 14, -78 = -5*r + 3*l. Suppose -4*h - j + 5 = 0, 3*h + h + 3*j - r = 0. Solve h*f - 4*f = -12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 96*c**3 - c**2 - 5*c + 6. Let g be k(3). Suppose -17*n + g = -15*n + 5*a, 4*n + 4*a = 5136. Is n a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uudududddd. Give prob of picking 1 d and 3 u.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - 1 - (-3)\/(-1). Suppose k = 5*k + 20. Let v = o - k. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1111 divided by 38892.\nAnswer: 1111\/38892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 399207 to the power of 1\/2, to the nearest integer?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmg when three letters picked without replacement from {j: 3, g: 1, m: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -6*x**2 + 3*x + 4. Let u(k) be the first derivative of 2*k**3 - 2*k**2 - 5*k - 1093. Give 5*a(v) + 4*u(v).\nAnswer: -6*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -916*u - 12851. Calculate w(-14).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 658 + -658. Solve y = -2*n - 16*n + 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 54.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29884109716201\/43435583982 - 1\/213968394. Let j = u - -688. Which is smaller: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -4. Let y(m) = -m + 11. Let p(b) = 11*b + 120. Calculate the remainder when p(-7) is divided by y(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9227, -18487, -27747, -37007, -46267, -55527?\n\"Answer: -9260*r + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**4 - 2*t**4 + 0*t**4)*(2*t + 0*t + 0*t) - 7*t**5 + 0 + 1 + 8*t**5.\nAnswer: -3*t**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 136441*j**2 - 4 - 17564*j**2.\nAnswer: 118877*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -v - 2*c + 59, -4*c = 4*v - 216. Let s be 9\/4 - 1\/4. Suppose 2*p - 5*q = 4*p - v, 0 = s*p + q - 29. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*n + 48 = 6*n, -3*c = 3*n - 24. Suppose 2*z + 12 = 3*z. Suppose 0 = -3*w + 12 + z. Calculate the highest common divisor of w and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 217189 and 31027?\nAnswer: 217189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 67, 219, 553, 1141, 2055, 3367?\n\"Answer: 12*r**3 + 19*r**2 + 11*r + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -13. Let u be ((-5)\/c)\/((-7)\/(-3)). Which is bigger: 0.2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hf when two letters picked without replacement from fhhuhfffzhzhhhhfhffh?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 2*n = -2*f - 20, 4*f - 3 = n. Solve 0 = f*v - 3*h - 5 - 11, -12 = 3*h for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5774, 22782, 51030, 90524, 141270, 203274, 276542?\n\"Answer: w**3 + 5614*w**2 + 159*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3048312 to the nearest integer?\nAnswer: 1746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 67087859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 713 - 887 = -6*q. Is 29 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -2\/23 (b) 11 (c) 2\/15 (d) -0.00693\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 + -1123340?\nAnswer: -1123355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, 127, -114, 178?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23643?\nAnswer: 3, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -4. Let d be 357\/(-6) + a\/(-2). Let m be d\/(-14) + (-2)\/7. Solve -m*q = -2 + 14 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 9*c**2. Let z(p) = -p. Let u(s) = -4*s**2 + 24*s. Let y(a) = u(a) + 24*z(a). Determine y(m(g)).\nAnswer: -324*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/2050 and -31\/288.\nAnswer: 295200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, l: 6, k: 4, h: 2, w: 4, s: 3}. What is prob of picking 1 w, 1 s, 1 l, and 1 h?\nAnswer: 48\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 - 4*g + 9. Let p(t) = -t**2 + 2*t - 5. Let q = 2 + -1. Suppose -9 + q = -2*b. Suppose 16 = b*h - 4. Calculate h*p(k) + 3*o(k).\nAnswer: k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 6:58 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5022\/(-3286))\/(-27))\/((-90)\/(-12) - 6).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4796166 to the power of 1\/3, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**3 - 61*o**2 + 109*o**2 - 44*o**2 + 7*o**3 + 10 in the form w*o**3 + z*o**2 + a*o + s and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-5))\/(1926\/1070)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -284, -1045, -2296, -4037, -6268, -8989, -12200?\nAnswer: -15901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -354\nAnswer: 1\/354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -202, -830, -1888, -3382, -5318, -7702, -10540, -13838?\n\"Answer: -f**3 - 209*f**2 + 6*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*k + 7*k. Let h(d) be the second derivative of 0 - 2*d**2 + d - 2\/3*d**3 - 1\/12*d**k. Factor h(m).\nAnswer: -(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, m: 1, e: 2, x: 1, z: 9, j: 2}. Give prob of sequence mejs.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t + 1. Suppose 4*b - 2*b - 20 = 0. Suppose 2*k + 3*k = -o + 6, -5*o + b = 5*k. What is c(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 4 and -0.01354 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -42269\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 3*b - 2. Let x be d(-4). Suppose -l - x*l = -15, 20 = 4*u + 4*l. Suppose u = o - 12 - 73. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7708 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 56*x**2 - 9*x + 8. Let q be i(1). What is the tens digit of (-5 + q\/10)\/((-1)\/(-42))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqmmvascvmq. What is prob of sequence mvvq?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -10, -1.\nAnswer: -10, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/10)\/((-4)\/56). Let t be 8\/(-28) - (-17778)\/m. Round t to the nearest one hundred.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 155542.4 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b + 9*b + 18*b. Let v(m) be the third derivative of m**5\/10 - m**4\/6 - 53*m**2. Let f(j) = -5*j**2 + 3*j. Let i(x) = 4*f(x) + 3*v(x). Give z(i(c)).\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45963334*o**2 - 441*o**3 - 45963334*o**2.\nAnswer: -441*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -31ab57 (base 13) to base 5\nAnswer: -244310331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 2*b + 1. What is the least common multiple of h(-2) and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1736 = -152*u - 12*u - 560 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/3 - (-1)\/(-3). Let d(r) = -r**2 - 3*r + 72. Let b be d(-10). What is the smallest common multiple of (b\/k)\/(3\/9) and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35350076+5\nAnswer: -35350071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 913100132.\nAnswer: 2, 7, 4159, 7841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of d**6\/6 - 3*d**5\/4 + 5*d**4\/12 + 5*d**3\/2 - 5*d**2 + 7*d + 5. Factor f(c).\nAnswer: 5*(c - 2)*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 0.2, 3\/5, 4\/7, -4 in descending order.\nAnswer: 3\/5, 4\/7, 2\/5, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-6 - (-7 - -3)) - (12 - -2).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**4 - 16*n**4 - 13*n**4 + (-6*n**2 + 2*n**2 + 2*n**2)*(6*n**2 - 5*n**2 + n**2).\nAnswer: -31*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3264)*-2*-3 + sqrt(3264) + sqrt(3264))\/(sqrt(3) + (2*sqrt(12))\/sqrt(4) + sqrt(768))*-2.\nAnswer: -128*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.27 and 2452.\nAnswer: -662.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, s: 4, u: 1, g: 1, n: 1}. What is prob of sequence ugn?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/3 (b) -1 (c) -2\/9 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1350600 rounded to the nearest 10000?\nAnswer: -1350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/15*1)\/(2\/10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from nwdmmmwwwmmwnwww.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -27, -112712?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z. Let r(a) = 10*a - 10. Let o(b) = -b**2. Let h(c) = 8*o(c) + r(c). Let g(i) = 3*i**2 - 3*i + 3. Let f(d) = -10*g(d) - 3*h(d). Calculate w(f(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34696877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3339751053?\nAnswer: 3, 1113250351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2909?\nAnswer: 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 88860803*r**2 - 154178720.\nAnswer: 177721606*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express j**3 + 0*j**3 - 5*j**4 + 2*j**2 + 5*j**4 + 2*j**4 in the form g + z*j**4 + m*j**3 + f*j**2 + n*j and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/390*-12*-1 + (-27)\/(-15).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/10 and 50\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -559*j + 554*j + z + 3 = 0, j - 15 = 5*z for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5258 and 2266.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 2158\nAnswer: -1\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eme when three letters picked without replacement from {e: 2, m: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1949460, -1949466, -1949476, -1949490, -1949508, -1949530, -1949556?\nAnswer: -1949586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -203, -454, -805, -1256?\nAnswer: -1807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-752)\/17672 + 2\/47. Let b(t) be the third derivative of 1\/1680*t**7 + 1\/320*t**6 + 0*t**3 + l - 1\/48*t**4 + 16*t**2 + 0*t**5 + 0*t. Factor b(c).\nAnswer: c*(c - 1)*(c + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -x**3\/6 + 5*x**2\/2 - 5*x. Let z be c(5). Solve l + z - 4 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 560055817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is (-43)\/(-129)*9*2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 14 = 2*g, 8*k + 2 = 3*k + 3*g. Suppose -2*y - y + 90 = -3*u, -3*y + 115 = k*u. Is 21 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d + 3*i - 18, 0*d + 13 = 5*d + 3*i. Which is greater: d or 112\/23?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 10 = 5*x, h + 0*h + 9 = -x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -20. Suppose 4*k + a*t - 60 = -16, 5*k + 2*t = 43. Let v(o) = o**2 + 3*o - 6. What is the units digit of v(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 228758818 to the nearest integer?\nAnswer: 15125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45183\/4696 + 2\/587. Calculate the common denominator of -65\/6 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 218\nAnswer: 3\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 3*v + 33 = t, -4*t + 132 = -2*v. Which is greater: 29 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13504234900 rounded to the nearest 1000000?\nAnswer: 13504000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r**4\/12 + r**2\/2 - r. Let o(u) be the first derivative of q(u). Let g(b) = b**2. What is g(o(v))?\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10221002202 (base 3) to base 2\nAnswer: 10010111000100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/15*(-89)\/3649?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -197*h - 5885. Determine v(-15).\nAnswer: -2930","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 6:00 AM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117847311?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c\/(c**1\/c))\/c)**(3\/25))**(6\/23) assuming c is positive.\nAnswer: c**(18\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -4, 15, 4 in ascending order.\nAnswer: -27, -4, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2233226 and 4.\nAnswer: 4466452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -9. What is the third derivative of 4*r**6 - 2*r + 2*r**2 - 3*r**s + 2*r wrt r?\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 18198?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-4) + 27\/12. Suppose -2*j = 3*s - 1, 0*j + s = -g*j - 1. Which is the second smallest value? (a) 1 (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (702*q**2 + 331*q**2 - 213*q**2)*(-3*q - 4*q**2 + 3*q)*(q + 4*q - 4*q).\nAnswer: -3280*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-8)*2*40. Let d be 15\/p + 25\/4. Solve -s + 2 = y, -4*s - d = 2*y - y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22931642177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 6008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*-97*24\/(-144). Suppose -7*l = 27 - j. Solve -x - x = -l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 330 and 2105554.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -376 - -607. Suppose -481 = -d + p. Suppose -b = 5*w - 703, -b - 3*b = 5*w - d. Is 17 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 11 = 19. Let l be o\/(-9)*18\/(-8). What is the second smallest value in 2\/9, 1, l?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -73\/5 - -506\/35. Let v = 100755 + -100754. What is the biggest value in v, 0.2, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 384 - 383.999934. What is p rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y + 3 - 24 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 130 = -3*t. Let c = t + -21. Let u(d) = -d**3 + 5*d**2 + d + 3. Let r be u(c). Calculate the greatest common divisor of 64 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, s: 2, a: 11, o: 5}. Give prob of sequence osa.\nAnswer: 11\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1014, -1025, -1040, -1059, -1082, -1109, -1140?\nAnswer: -1175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1687, -1688, -1689, -1690, -1691, -1692?\nAnswer: -1693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.2 less than 0.1?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 4*w**2 - 2*w. Let y be q(2). Suppose -f + y*f = 12. Suppose f*k - 7 = 13. Solve -5*i + 5*j - 17 = 8, -2*i - 19 = -k*j for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -149 - -149.0000002345. What is j rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -461*m + 156. Let a(i) = -23 - 45*i + 55 - 66*i + 47 - 121*i. Let r(f) = 7*a(f) - 3*v(f). What is the first derivative of r(t) wrt t?\nAnswer: -241","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 370*(-44)\/330*3*6\/(-72)*-3?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 21047.95 to the nearest ten.\nAnswer: 21050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 29554458431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-250)\/13 - 111\/(-481)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3104323 is divided by 176?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 164238377, 164238378, 164238379, 164238380, 164238381?\n\"Answer: d + 164238376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -424, -422, -420, -418?\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 10 = -3*m - 2*m, -3*y = m - 19. Suppose 2 = y*j - 68. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 9*x - 23833 = 17052. What is the highest common factor of 37 and x?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 0, -7, -14, -21, -28?\n\"Answer: -7*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -13227467+-16547.847\nAnswer: -13244014.847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10219*s + 14 = -4*y - 10221*s, -4*y + 2*s + 6 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 22 = -h. Let z be (-14)\/(-2) + 3 + h\/(-8). Let b(d) = -d + 4. Let k be b(0). Calculate the greatest common factor of z and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-90)*(-200)\/80. Which is the closest to -3? (a) 6 (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43497 is divided by 56.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1339845.\nAnswer: 3, 5, 13, 6871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -851, -2, 2, 5, 3 in decreasing order.\nAnswer: 5, 3, 2, -2, -851","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i - 7. Let m be a(-5). Let x be (-4)\/(-8)*0\/m. Suppose 138 = f - x*t - 4*t, -4*t + 264 = 2*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.03668096 to three dps.\nAnswer: 4.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 23, 21, 19, 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 12*f**2 - 5139*f - 556. Determine c(66).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(30\/196))\/((23\/((-552)\/(-64)))\/4).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335204056?\nAnswer: 2, 11, 3809137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -u - 64*o + 60*o, -4*u - 2*o + 30 = 0. Solve -2*r = 3*i - u, -28*r + 29*r - 14 = -5*i for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - (-2 - 40\/(-5)). Let q = 8 + h. Sort -5, 15, q.\nAnswer: -5, q, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/69608 and 15\/69608?\nAnswer: 69608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 234902*z. Let m(r) = -r**2. Calculate a(m(j)).\nAnswer: -234902*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2486 - 1809 - 540 = 439*g - 445 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.044 times -0.5?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - -5. Suppose -b + 0*q + 16 = q, b - 2*q = 16. Calculate the lowest common multiple of l and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b**2 - 14*b**2 + 8*b**2. Let p(w) = 177*w. Calculate o(p(i)).\nAnswer: -31329*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 38, -1\/11, -900?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -494.18211 rounded to the nearest integer?\nAnswer: -494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -11*v + 26*v - 14*v. Let f(t) = -9*t + 4. Let i(g) = -4*f(g) - 12*k(g). What is the first derivative of i(h) wrt h?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 - 2. Calculate the lowest common multiple of 118 and k(-3).\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-6*(sqrt(80) + sqrt(80)*-1 + sqrt(80) - sqrt(80)) - sqrt(80))\/(-1*sqrt(90)).\nAnswer: -4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53396*a**4 - 1367*a**3 - 3462024*a**2 + 2*a - 3.\nAnswer: 1281504*a - 8202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 11:21 AM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f + 572 = -3*f. Is f less than or equal to -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 961*b**5 - 2*b**4 - 1575*b**2 wrt b?\nAnswer: 57660*b**2 - 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(0 - 5\/(-1))*(-41)\/(4510\/(-7425)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h. Let s(u) = 4*u. Calculate 3*s(o) + 5*t(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*u = 24 + 113, 4*m - 85 = 5*u. Suppose 0*h + m = 5*h. Solve 4*i + 2*v - 5 = 5, h*i - 4*v - 32 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37961\/34510*(-10)\/4?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -434992 divided by 4\nAnswer: -108748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 20*c + 2*j = 4*c - 5*j + 4*j + 275, 4*c + 30 = -2*j for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97282*h - 48688*h = 48639*h + 2250 for h.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3104.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27058 is divided by 1056.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 7680*r**3 + 11 + 7681*r**3 + (2 - 3 + 2)*(0*r**3 + 0*r**3 - 2*r**3) to u*r**3 + x + i*r**2 + y*r and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 w when three letters picked without replacement from kokwvkwookowwkkkoow?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 5*h + 2. Let w = -3 - 1. Is p(w) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -1\/12*x**4 + 0*x**3 - 5*x - 5 - 3\/2*x**2. Let h(o) be the first derivative of q(o). Differentiate h(i) with respect to i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (848*z**3 + 631*z**3 - 545*z**3)*(2*z + z - 4*z + 1) to w*z**2 + x*z**4 + l + h*z**3 + i*z and give x.\nAnswer: -934","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16830*q - 200 = -16840*q for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 4*f. Let x be s(-4). Suppose -2*t = -4*w - 0*w - 18, 2*w + 5*t + 3 = x. Let r(m) = m**2 + 5*m + 5. What is the units digit of r(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3582?\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 53 = -38 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*y**2 - 119*y**2 + 9*y**3 + 62*y**2 + 4 + 3*y**4 - 14*y**4 as p + z*y**3 + m*y**2 + f*y + a*y**4 and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2051*q + 67667. Determine t(33).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 22*l + 483. Give d(-11).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = m - 0*z + 6, -3*z + 27 = 3*m. Suppose -m*x**2 - 3*x**4 + 3*x + 6*x**3 - 3\/5 + 3\/5*x**5 = 0. What is x?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49*-116762.\nAnswer: 5721338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c - c - 12*c**2 + 11*c**2 + c + 2. Let q be f(2). Solve 0 = q*o + 5*u + 23 - 6, 5*o - 4*u + 11 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y + 9 = -16*y. Calculate the least common multiple of 36 and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**3\/3 - 3*u**2\/2 + u. Suppose 15 = -3*n + 72. Let l(i) = -2 - 1 - 16*i + n*i. Determine -5*c(b) + 4*l(b).\nAnswer: 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 306781523*i**3 + 15065285*i**2 wrt i?\nAnswer: 1840689138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (27947870\/(-6))\/(8 - ((-550)\/(-33) + -7)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -245*s. Let q(o) = 5*o**2 - 124*o**2 + 61*o**2 + 60*o**2. Calculate r(q(f)).\nAnswer: -490*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**3 - 6*z**3 + 3*z**3 + (3 - 4 + 0)*(-12 + 12 - 63*z**3).\nAnswer: 62*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4, 0, -10, -26, -48, -76?\n\"Answer: -3*u**2 + 5*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 times -0.292\nAnswer: 0.03212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (57\/15 + -3)*-10. Let w(f) = -f**3 - 8*f**2 + 8*f + 12. Let a be w(u). Is a\/(-12) - (-1)\/(-3) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 88740185 (b) 2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -m**7\/840 - m**5\/60 - m**4\/6 + m. Let c(r) be the third derivative of z(r). Find the first derivative of c(a) wrt a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 10*z - 20. Let p be s(12). Suppose -3*a + 203 = p*a. Suppose -2*v + 32 = 4*n, -5*n + 2*v + 11 = -a. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647435 divided by -5?\nAnswer: -129487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**3\/2 - 21918*t**2 - 219327*t\/2 + 526212 = 0?\nAnswer: -8, 3, 14617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*w**2 + 11*w**2 - 10523*w**3 + 21064*w**3 - 10506*w**3 + 2 in the form c*w + z*w**3 + y + j*w**2 and give j.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/9 + (-573)\/(-27). Let t = 24 - p. Suppose t*k = 48 + 378. Calculate the remainder when k is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -5*z**3\/6 + 12725*z**2\/2 - 32385125*z\/2 - 3093. Determine b, given that k(b) = 0.\nAnswer: 2545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 4. Let t be (-52)\/12 + 4\/(-6). Let i be p(t). Let g = -554 - -558. Solve 3*k + 12 = -2*k + g*a, -3*a + i = -5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.1, 2\/137, -10, -11, 10?\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 11*c**2 + 3*c - 1. Let l be z(-11). Let m = 76 + l. What are the prime factors of m?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -5*u - 3. Let x be b(1). Calculate the common denominator of 16\/(-28)*(-38)\/x and -47\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -323.6171011 - -323.62. Round w to 4 dps.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 18*l. Determine j(18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0, -118, 2.\nAnswer: -118, 0, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -7*k**2 + 5*k - 2. Let q(i) = -8*i**2 + 5*i - 2. What is 6*q(a) - 7*s(a)?\nAnswer: a**2 - 5*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-812)\/(-56) - 14) + -2*(-2)\/8. Let y(q) = -q**2 + 4*q + 6. Let z(p) = p**2 + p - 1. What is k*y(n) + 3*z(n)?\nAnswer: 2*n**2 + 7*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 166455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -264 + 17?\nAnswer: -24a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 20. Suppose 0 = -z*d + 7*d - 515. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -4\/616375495 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2533 + 3?\nAnswer: 2536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -22*v**2 - 2*v + 1. Let j be s(1). Let l = j - -26. Is (-356)\/(-8)*(l - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -284584 at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -29902, -29756, -29610?\n\"Answer: 146*l - 30048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3695 is divided by 1223.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262612.\nAnswer: 2, 7, 83, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74633760 (base 8) to base 10.\nAnswer: -15939568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15317036 - -1411418.\nAnswer: 16728454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i - 1. Let h(x) = -x + 10. Let m be h(11). Let r(t) = -2*t**2 - 7*t + 9. Let p(j) = m*r(j) - 5*z(j). Factor p(l).\nAnswer: 2*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -302, -300, -298?\nAnswer: -296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13372 by 3343.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 116*d + 4635. Let t be r(-40). Suppose -3 = 4*z - 11. Suppose -3*q = 0, -n - 4*q = -z*n - 1. Which is the nearest to -0.1? (a) t (b) n (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*d - 2 = 0, -3*d = 3*l + 5 + 1. Suppose -2*a - l*a = -210. Let z = a - 23. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3\/5528, 2\/11, -3, -7 in decreasing order.\nAnswer: 2, 2\/11, -3\/5528, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/70 and -6*280\/225 + 6\/(-30)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -87901 and -0.11.\nAnswer: -87901.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 158\/(-1185) + (-214)\/(-30) + -4. What is the second biggest value in 3\/2, -5\/3, -360, g?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1248 divided by -430.\nAnswer: 624\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 10*o**2 + 4*o + 1. Let q be (32\/(-24))\/((-2)\/(-9)). Is h(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.20516 - -475296634?\nAnswer: 475296633.79484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 92.73*0.1\nAnswer: 9.273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 8\/7, 0.5, -0.5, -15\/11 in ascending order.\nAnswer: -15\/11, -0.5, 0.5, 1, 8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7580101773 - 11.09\nAnswer: -7580101784.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 501.1 - 430. Let q = o - 13.1. Let w = q - 70.8. What is w rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 83\/4565*(-15)\/6.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -844 in 0.1629, 3\/8, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.23 - -1.43. Is d > -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15374*j + 21239*j + 13701*j)*(2*j + 0*j + 0*j).\nAnswer: 39132*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16.782 + 17.282. Put 1\/8, c, 2, -3, 5 in decreasing order.\nAnswer: 5, 2, c, 1\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = v + 6. Let h be (-168)\/(-16) - 2\/4. Suppose -16*w + h = -70. Solve -v*o = 5*x - 12, -11 = 3*x - w*o + 9 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.69999673 - -0.7. What is q rounded to seven dps?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 4*o + 6 = 0. Find the second derivative of f**5 - o*f**5 - f**5 + f wrt f.\nAnswer: -60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**2*n**2 + 21*l**2 - 2*l*n**2 - 5*l*n - 4*n**2 wrt l?\nAnswer: 2*n**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 47283194 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 517.3 (b) 1691 (c) 1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3016685201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172430*x - 172261*x + 2535 = 0 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**3 - 606*l**2 + l + 3473?\nAnswer: 6*l - 1212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 150.23*0.5\nAnswer: 75.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 + 35954 - (-104 + 103) a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 1221368419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*r**5 - 2505*r**4 - 10730*r**3 - 660*r**2 + 18200*r - 8160 = 0.\nAnswer: -51, -4, -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 - 7. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 0*o**4 - o**2 + 0 + 0*o - 11\/60*o**5 + 1\/6*o**3. Suppose 5*d + 2*y + 1 = 0, -3*d = 4*y + 3 + 6. Give u(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 2.2. Put x, 6, 3\/7 in ascending order.\nAnswer: x, 3\/7, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 4130*j**2 + 3710*j**2 + 0 - 72*j.\nAnswer: -420*j**2 - 72*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 5*y + 170933 - 170985, 2*h + 4*y - 38 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 - -7. Let n = g - -91. Suppose 0 = -5*i + 30 - 5. Solve 21 = -i*f + n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 518935 to the power of 1\/2, to the nearest integer?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6*d + 0 + 5*d)*(0*d + 5*d - 3*d) + (-4*d - d + 3*d)*(3*d - 8*d + d).\nAnswer: 6*d**2 + 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 7) in base 14?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 97783 + -29455. What is the ten thousands digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 + 0.2. Let n = p + 0.19918. What is n rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 22. Let z = h + -14. Does 28 divide 106 + z - -4 - -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005371 to five decimal places.\nAnswer: 0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 112\/(-280)*-4*(-70)\/(-8)*1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-265)\/150 + (-5)\/3*-1\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -12 + 20. Suppose 0*w = -2*g + q*w + 10, 15 = -5*w. Solve t + 3*k = -t - 12, -4*k = g*t + 16 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 14 (b) -0.031 (c) 3 (d) 0.5 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.75 - 1.66. Let a = 0.11 + z. Let m = -4 + a. Put m, 3, -1 in increasing order.\nAnswer: -1, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -285 divided by 27801?\nAnswer: -95\/9267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -35 and 2516737839.\nAnswer: 2516737804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*w - 57*w**4 + 34*w**4 - 16*w + (0*w + w - 2*w)*(-2*w**3 + 2*w**2 - 2*w**2).\nAnswer: -21*w**4 - 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4980 and 280.\nAnswer: 69720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*(-48)\/(-400)*40\/(-12)?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.5944 (b) -1\/41 (c) -2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 6 + 4. Let w(x) = -218*x - 2614. Let y be w(-12). Let r be y - (0\/m + 20\/(-2)). What is the greatest common divisor of r and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aulauwulwllaaanl. What is prob of sequence alnw?\nAnswer: 5\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2087765 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 6 (c) 9 (d) -2 (e) -2\/55 (f) 2\/81\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 513?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 74 in -72, 1\/18, 0, 2\/7, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (876\/264 - (-4)\/22).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4318 and 76073?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 7:28 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 3.704539.\nAnswer: 1.1113617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*g = 0. Suppose g = -p + s - 6 + 5, 4*s = 5*p + 2. Suppose -2*n - 3*f + 2 = -7*f, p*n + 4 = f. What is the closest to -0.2 in -1, 3, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2430050657 to the power of 1\/4, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -v**2\/2 - 2*v + 2. Let x be p(2). Calculate the lowest common multiple of 16 and 6\/(-2*1\/x).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (-1 + 5) - 8) + 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 18*b**2 - b - 21. Let l be g(-18). Let h = 3.5 + -4.5. What is the nearest to l in 2\/7, h, 1\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -618 - -606. Let o(m) = -m + 14 + 2*m + 6. Let i be o(f). What is the highest common factor of 32 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/65 + 38\/78)*(-126)\/49\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-32)*312\/(-26))\/((90\/8)\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 - 31. Let c(k) = 656*k**2 + 7*k + 6. What is the hundreds digit of c(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142580643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 21*b**3 + 37*b**2 + b + 4. What are the prime factors of u(5)?\nAnswer: 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105116399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10742125587\/70 + -153476977. Let f = 18039 + p. Calculate the common denominator of -39\/77 and f.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -5) + 2 + -2. Suppose 2*z - 32 = -4*w - 0*w, -j*z + 28 = 2*w. Sort z, 0.3, 0.1 in descending order.\nAnswer: z, 0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p\/(p\/((p*p**(2\/5)\/p*p)\/p)))))\/p)**40\/(p**(6\/13)*p**(-1\/49)) assuming p is positive.\nAnswer: p**(-15569\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - o. Let i be t(1). Let s(m) = i - 2*m**2 + 0. Let y(r) = 16*r**2 - 3*r**2 - 8*r**2. What is y(s(p))?\nAnswer: 20*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3*n + 45 = 5, 0 = 5*b + 5*n - 55. Calculate the highest common factor of b and 84.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 753649?\nAnswer: 13, 57973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -54 - (-38 - (-15 + -24)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12424 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 97 - 67. Let z = -6635 - -6640. Solve -4*r = -5*s - 3 - 0, 5*r + u = -z*s for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u. Let c(x) = 1 - 2*x + 2*x - x - 2. Let o(z) = -1 - 2*z**2 + 5*z**2 - 6*z - 5. Let i(d) = -6*c(d) + o(d). Give i(r(h)).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 4*z**2 - 3*z - 11. Calculate j(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.08, -2, -5 in descending order.\nAnswer: -0.08, -0.5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9996 + -9989. Sort 12, -2, v, -12 in descending order.\nAnswer: 12, v, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i - 1. Suppose -3*b - 5 = 7. What is the lowest common multiple of 64\/6 + b\/6 and g(-3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*b - 30276 = -31449 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23100, -22952, -22804?\nAnswer: -22656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3068674 and 182086.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2201*l + 2206*l - 8822*l + 2205*l + 2209*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -339.45 - -7.45. Let s = -187471 + 187802.703. Let n = z + s. Round n to two dps.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 6:42 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 74 = 4*i, 3*i - 5*n = -i - 109. Let z = 26 + i. Factor 0 + 6\/7*d**4 + 2\/7*d**z + 2\/7*d**2 + 6\/7*d**3 + 0*d.\nAnswer: 2*d**2*(d + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 3:52 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mrmm when four letters picked without replacement from {r: 5, m: 8}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -87*o**4 - 822*o**3 + 14004*o**2 - 34890*o - 18525 = 0.\nAnswer: -19, -13\/29, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2239 divided by -2239?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.50712375 to one dp.\nAnswer: -15.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vevftctvctctvccvtft. Give prob of picking 3 v and 1 t.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 165*u**3 - 10 + 21 + 3*u**2 + 4*u - 4. Is h(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 (base 4) in base 10?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*t - 14*t + 2*x + 12 = 4*x + x + 39, -6*t + 4*x + 32 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 875, 872, 869, 866?\nAnswer: 863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000021339 rounded to six decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9 + (-168)\/14 - -10) + -9. Which is the third biggest value? (a) 3\/4 (b) -2\/13 (c) -108 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.7 - 0.4. Let z = q + -7. Let j = 4.919 + 0.081. Which is the third smallest value? (a) z (b) -0.4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of 1\/50*n**5 + 1\/75*n**6 - 1\/30*n**4 + 2*n - 1\/15*n**3 + 0*n**2 + 0. Solve k(w) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 19\/(1 - (-9)\/(-10)). Let d = 6 + -4. Let h be n\/40 - d\/(-8). Solve 3*f + 0*p + 3*p = -3, -h*p - 26 = -2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 18288671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y - 8. Let c(o) = o + 1. Give -2*c(h) - j(h).\nAnswer: -4*h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -3*f - 27. Let k = f - -13. Solve 0 = 5*v - k*j - 21, -j - 3 + 0 = v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -144092, -143837, -143412, -142817, -142052, -141117?\nAnswer: -140012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-28998)\/4140 + 7)*4. Suppose -5*s + 15 = 5*u, -3*u + 2*s - 2 = -1. Is p at least u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*y - 80*y = 161. List the prime factors of y.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 376631*r - 188359*r - 188263*r.\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(-17)*4*(-5)\/2\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1113, 688 in descending order.\nAnswer: 1113, 688, -1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*f - 2 = -b, -6 = 3*f. Let o be ((-16)\/(-10))\/(b\/30). Suppose 11 = 2*w + 5. Solve o = 5*g - w for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*(-8)\/6\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006226573803 rounded to 7 decimal places?\nAnswer: 0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.86705 litres to millilitres.\nAnswer: 77867.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 0)*(-2*m**4 + 6*m**4 - 2*m**4) + 270*m**2 - 270*m**2 - 20*m**4 - m**4 + 3*m**4 + 0*m**4.\nAnswer: -14*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = u - 5*g, 0*g = -2*u - 5*g + 29. Let i be u*30\/(-25)*(-6900)\/(-9). Let a be (i\/(-465))\/8 - 3\/9. Is 0 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33432 and 3582?\nAnswer: 100296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 b when two letters picked without replacement from {n: 4, b: 1, w: 2, y: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (33 - (-63 + 41))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -8*c**3 - c - 4. Let r(o) = -25*o**3 - o**2 - 3*o - 13. Let b(l) = -7*i(l) + 2*r(l). Let k be b(-2). What is the tens digit of (-6)\/8*(k + 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 57.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 37?\nAnswer: 8\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/3)\/(204\/(-1377)). Solve i*z + 1 - 28 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1020, -1025, -1032, -1041, -1052, -1065?\n\"Answer: -s**2 - 2*s - 1017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 25 = 0, 8*j = -5*n - 705 + 740 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.3, -2\/9, -48\/5, -0.124, -4, 1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6292 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o - 5*b - 30 = 0, 2*o - 261 = -2*b - 271 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -151245424 (base 7) to base 5\nAnswer: -10032422222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -37128585.\nAnswer: -2\/37128585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 + 76 = 2*n - 4*f, -36 = -5*n - 2*f. Let h(m) be the first derivative of 6 + 8\/3*m**3 - n*m - 2*m**2 + m**4. Factor h(j).\nAnswer: 4*(j - 1)*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -y**7\/7 - 7*y**6\/15 - y**5\/5 + 2*y. Factor g(p).\nAnswer: -2*p**3*(p + 2)*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -8, 24*r - 19*r + 12 = 4*z. Let i be 8 + (0 - (-3)\/(-3)). Let a(j) = 2 + 2*j**2 - i*j - j - 3*j**2. Determine a(r).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 5*d. Let z be n(5). Suppose 5*o - 8 = -4*k, z = o - 0*o + 5*k + 11. Suppose 4*m - m + 93 = 4*b, 4*m + 92 = o*b. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-30)*29500\/1888.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (14 - 8685\/620)*-35 and 125\/168?\nAnswer: 5208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 3*f - 4. Let r be s(6). Suppose r = -2*q + 4*q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*v - 61*v + v**3 + 35*v.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -24\/349 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -7248*v + 16127. Give r(2).\nAnswer: 1631","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -10*d**2 - 243*d + 14. Let a be b(-24). Suppose -78 = -4*m - a, 0 = -4*v - 5*m - 10. Let h(o) = o**2 - 5. Calculate h(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 107, 3\/5, -0.2, 3, 0?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**2 - d**2 - 4*d**2 + (0*d + 3*d + d)*(-1 - 2*d - d - 1) in the form x*d + i + n*d**2 and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*m = -62*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**2 - 4*g**2 + 2*g**2 + (3*g - 4*g - 2*g)*(-68 + 52*g + 68).\nAnswer: -155*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 3:17 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6707704991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251185*x - 51*x**2 + 27*x**2 + 26*x**2 + 24 - 251185*x.\nAnswer: 2*x**2 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58)\/87 - (0 + (-80)\/44 - 7\/(-21))?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2880 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -933 + 981. What is the smallest common multiple of t and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3229148?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, j: 8, c: 1, y: 6}. Give prob of picking 1 y and 2 j.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(1\/8))\/a*a*(a**(-4)\/a*a)\/a*a*a)\/(a*a**1)**(-25) assuming a is positive.\nAnswer: a**(385\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-3 + -27)*(-4)\/6 and (-14)\/(-6) + (-7)\/3 + 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rvrrvrvxrxrraaavr. Give prob of picking 2 r, 1 x, and 1 v.\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y + 13. Suppose 2*h + 6 + 2 = 0. Let l(j) = j**3 + 6*j**2 + 3*j - 3. What is the common denominator of l(h) and t(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2293*n - 1144241. What is c(499)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/135*614934\/(-1076).\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**6)**(14\/11))**(-20) assuming u is positive.\nAnswer: u**(-1680\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10386267, 20772503, 31158739, 41544975?\nAnswer: 51931211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*w + 107*w - 373*w.\nAnswer: -160*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 4) to base 11\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3899618*t**2 + 657001 wrt t?\nAnswer: -7799236*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72760544?\nAnswer: 2, 17, 131, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3871 + -1934. Suppose 3*m = 4*k - r, -3*k + 6*k - 1437 = -3*m. List the prime factors of k.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1214769522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d + 10. Let n be u(5). Solve 5 - n = 5*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 181971 divided by 9.\nAnswer: 20219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -o**3\/3 + 3*o**2 - 3*o + 19. Give h(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(6 + 195304\/(-13020) + 9) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40375 is divided by 1661?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1440856434?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 323244391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 z when two letters picked without replacement from sjz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1111 - 0?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 226959*l - 226959*l + 203*l**3 - 15 as t*l + i*l**2 + h + f*l**3 and give f.\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h - 1. Let l(r) = -14*r + 2. Suppose -2*i + 5*z + 44 = 0, -z + 46 = 4*i + 24. Give i*a(f) + 2*l(f).\nAnswer: 7*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -144*z + 51. Let v be j(5). Let h = v - -1252. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4\/5 + 8*r**3\/5 - 2*r**2 + 4*r\/5.\nAnswer: -2*r*(r - 2)*(r - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2 + 30 = -4*n, 4*n + 46 = -5*t. Let i = t + 9. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**5\/4 + i**4 + 5*i**3\/4 + i**2\/2.\nAnswer: i**2*(i + 1)**2*(i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -4 - (0 + (-30)\/(-5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**3 - 328*d**2 + 331*d - 811. Let l be y(163). Let 76\/3*a**3 - 112\/3*a - 32\/3 - 8*a**2 - 4*a**5 + 8\/3*a**l = 0. Calculate a.\nAnswer: -2, -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) + -2)**2 - sqrt(3)) + 5 + ((3 + sqrt(3))**2 - sqrt(3)).\nAnswer: -44*sqrt(3) + 453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -6\/95, -2280.\nAnswer: -2280, -1\/3, -6\/95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38403 by 53.\nAnswer: 38403\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1942390790 to the nearest integer?\nAnswer: 44073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.04 + -0.36. Let i = 0.02 + w. What is the third biggest value in 0.1, -0.5, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 85*r + 2041. What is x(-13)?\nAnswer: 936","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/8 (b) 2 (c) 3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1129216\/54887 - 16\/7841. Factor -4\/7*w**2 - 48\/7*w - u.\nAnswer: -4*(w + 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-12))\/((-2)\/56*-14)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1564578 or 1564579?\nAnswer: 1564578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 7*h**5\/4 - 263*h**4\/4 - 975*h**3\/4 - 397*h**2\/4 + 284*h + 123 = 0.\nAnswer: -2, -3\/7, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22751 is divided by 1721.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) 5568 (c) 1\/5 (d) 1009\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 19*g + 95. Calculate a(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k - 1. Let w(x) be the first derivative of 3*x**2\/2 - 3*x - 26. Let m(z) = 17*z. Let n be m(1). What is n*s(i) - 6*w(i)?\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 13, f: 5, t: 2}. What is prob of sequence stst?\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 2379285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -132345 by 1.\nAnswer: -132345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*445.045.\nAnswer: -178.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -583\/20 less than or equal to 1\/36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 8 = -5. Let k be (j*(2 + -3) - 4)\/(-1). Put k, 0.1, 0.2, -0.3 in decreasing order.\nAnswer: k, 0.2, 0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 684 and 56484?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 - -1610565?\nAnswer: 1610613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20416804*n**2*z**3 - 20*n*z**3 - 5*n*z - 2*n - 5*z + 151 wrt n.\nAnswer: -40833608*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/7*21\/6. Suppose r + 19 = c + 4*c, -y*r + 2 = 0. Suppose c*w - 4*p - 16 = 0, 0*w - 8 = -2*w + 4*p. Solve -w*m + 5*m = -1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -157 - -194. Calculate the remainder when 479 is divided by g.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5808\/320892)\/((-24)\/117).\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, h: 2, n: 4, k: 2, c: 2, a: 6}. What is prob of sequence nagc?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17336.932063591 + 0.089136409. Let n = t + -17372. Let v = 35 + n. Round v to 3 decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -5. Let q = 8 - c. Let l = q - 1. Solve l*d = 6*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -249100 (base 10) in base 9?\nAnswer: -418627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 6*j**2. Let c(l) = 3*l. Let x(g) = 4*g. Let z(s) = 6*c(s) - 5*x(s). What is m(z(b))?\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -1, -5, 8 in descending order.\nAnswer: 9, 8, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 570 + l**2 - 1724 + 574 + 577 - 319*l as n + p*l**2 + a*l and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**2 - 30*l - 25. Calculate m(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 392 + -123. Suppose -5*d = -4*b - u, -b + 4*b + 109 = 2*d. Suppose 227 = 4*y - d. What are the prime factors of y?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 0)*(-11*m**2 + m**2 - 24*m**2) to the form s*m + a*m**2 + k and give a.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -138 - -313. What is the remainder when o is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b (base 15) to base 11.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -14*x - 2. Let d(m) = -m**3 - m**2 + 25*m + 64. Calculate the remainder when a(-6) is divided by d(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*s**2 + 4*s**2 - 12*s**2 + 5*s**2.\nAnswer: -31*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d + 18*d - 694 = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 5*x - 25, 0 = 3*s - 8*s. Solve 1 = x*n - 19 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/40*-4)\/(43\/(-1290))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 1:46 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3334 = 3*b, -2*u + u = -5*b + 5554. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21037 + -20869. Calculate the remainder when 814 is divided by u.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -688 + 808. Let y be 2\/((-27)\/(-28) - 1). Let z = n + y. Is 16 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**4\/2 - 3270*p**3 - 7170603*p**2 - 5362705238*p - 396863667057\/2 = 0.\nAnswer: -2167, -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = y + h, 2*h = 3*y - 179 - 189. List the prime factors of y.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 + 0 + 0)*(-4 + 4 - k) - 3*k**3 - 2*k**3 + 9*k**3 + (3*k - 7*k - 4*k)*(3*k**2 - 2*k**2 - 2*k**2).\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*q + 52*q + 29*q**3 - 2 + 5*q**2 - 28*q**3 in the form w + p*q**3 + g*q**2 + t*q and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-3))\/((-4)\/(-12)). Let a(q) = -4*q**3 + 8*q**2 + 4*q - 2. Let g(x) = 5*x**3 - 9*x**2 - 4*x + 1. Let h(s) = i*a(s) + 3*g(s). Give h(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - 0 - (25 - (0 - (-9 + 10 + -11))).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.083 + 41.083. Let m = l + -41.00000043. Round m to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 48142681 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0.00542?\nAnswer: -2.99458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 u when two letters picked without replacement from hhu.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p - 62 = -16*p. Calculate the smallest common multiple of (-9)\/(-36) - 1\/((-8)\/p) and ((-18)\/(-5))\/((-1)\/(-5)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 93\/6*(282 - 257 - (0 + 29))\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bqbqbqlqqalqbqbqbqp. Give prob of sequence lqqa.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xkrw when four letters picked without replacement from wwkwwwkgrxkkwgrxwx?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31122?\nAnswer: 2, 3, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/((-169)\/(-39))*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**2 - 2*b**2 + b**2 + (0 - b + 0)*(3 + b - 3) + 2*b**2 + 2*b**2 - 2*b**2 + 11*b**2 + 66 + 67 - 149 to the form k + r*b**2 + a*b and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3408*n + 336 = -3400*n. Solve -18*r - n = -6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 1\/4*j**4 + 0*j**3 - 5*j**2 + 0*j**5 + 0*j + 0 - 1\/30*j**7 + 0*j**6. Find the second derivative of m(i) wrt i.\nAnswer: -84*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 144007*g*z**2 + 234*g - 685338997*z**2 with respect to g.\nAnswer: 144007*z**2 + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 235*f + 155*f + 463*f - 230*f. Let m(d) = -d**2. Calculate v(m(s)).\nAnswer: -623*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -989 + -828.\nAnswer: -1817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 165 + -160. Solve p + 10 = -c, 0 = -r*p - c + 3*c - 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -14*r - 363. What is q(-26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -80, 4, 0, -2\/13 in decreasing order.\nAnswer: 4, 0, -2\/13, -1, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 1 = -s, -3*s = -3*b - s - 2. Let j be (b - 8\/24) + (-7)\/(-12). Which is greater: 78 or j?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12588719 divided by -1573.\nAnswer: 8003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 32268313 to the power of 1\/2, to the nearest integer?\nAnswer: 5681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 680683232575 take away -0.01?\nAnswer: 680683232575.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*2\/(-3) + 1. Let r(k) = -k**2 - 9*k - 4. Let w be r(-8). Factor 4 + 3*o + 3*o**2 + o**j - w + 1.\nAnswer: (o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 0.5, 0.03 in increasing order.\nAnswer: -5, 0.03, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 12 - 41 = 2*m - 58, -3*m - 4 - 2 = 0 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-4) - 10425\/(-8500). Let a = 10\/11 + -59\/77. Put -2, a, s in decreasing order.\nAnswer: a, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*i**2 + 3*i**2 + 0*i**2 + (-2*i + i - i)*(-3*i - 4*i + 5*i).\nAnswer: 5*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -7 - 2*d**2 + d**5 + 2 - 1. Find the second derivative of j(v) wrt v.\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8090, 0.4, -1, -2\/9, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**3 - 2*g**2 + 8*g - 5. Let b(y) = 10 - 114*y + 59*y + y**3 + 54*y - 9. What is 4*b(v) + p(v)?\nAnswer: 2*v**3 - 2*v**2 + 4*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**4*x**2 - 2*n**4*x - 42*n**3*x**3 - 70*n**2 + 18*x**3 wrt n.\nAnswer: -48*n*x**2 - 48*n*x - 252*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3791.05502 + -3791. Let h = 0.059 - s. Let f = 0.002 - h. What is f rounded to 4 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -393*p - 1. Let s(g) = 394*g + 1. Let f(b) = -5*n(b) - 6*s(b). Is f(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/7 (b) -0.666 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45428 is divided by 132?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5704890*d**3 + 32312928*d**2 wrt d.\nAnswer: -34229340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 301755684 rounded to the nearest one hundred thousand?\nAnswer: 301800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134163, -537669, -1210175, -2151681, -3362187?\nAnswer: -4841693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 9*v**2 - 4*v + 39. What is i(-10)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256 - 167*j**2 + 873*j - 873*j - 262.\nAnswer: -167*j**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.59288 weeks in minutes?\nAnswer: 66456.2304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -340 (base 12) in base 6?\nAnswer: -2120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 2*c**3\/3 + 11*c**2\/2 + 3*c - 3. Let g be x(-6). Let j = g - 3. Solve -k = -j*k - 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1547, 1606, 1771, 2096, 2635?\nAnswer: 3442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -946346 and -15?\nAnswer: 946331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -v**6\/15 - v**2 - 8*v + 1. Let a(l) be the first derivative of j(l). Differentiate a(b) with respect to b.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23.181 * -17.\nAnswer: -394.077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.069685 + 0.05216. Round s to 4 dps.\nAnswer: -0.0175","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -164964*u**2 + 62522 wrt u?\nAnswer: -329928*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26 or 88498\/3359?\nAnswer: 88498\/3359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1852.9764ms in minutes?\nAnswer: 0.03088294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j - 16*j = 75 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*1)\/((14\/(-140))\/(-1)*1).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 + 111212321?\nAnswer: 111212231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011110011 + -1?\nAnswer: 101011110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 19 = n, -2*n = 3*n + 3*m + 7. Sort 4, n, 0 in decreasing order.\nAnswer: 4, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -6. Let d(o) = 2*o**3 - 3*o**2 + 2*o - 2. What is d(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 7 = -4*u, -10*p + 9*p + 3*u = 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36*n**5 - 1756286*n**3 + 522*n**2 + 74*n + 929.\nAnswer: -2160*n**2 - 10537716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 584630687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 14840000 to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(2) + sqrt(2))*-2 - sqrt(2))*3 - (0 + sqrt(50) + -5))**2 + -1.\nAnswer: -440*sqrt(2) + 920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-5\/6)*p*p\/p**2)**(-5\/9))**23 assuming p is positive.\nAnswer: p**(-115\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*y + 6 - 432, -303 = -3*u - 4*y. Calculate the remainder when u is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -97*v**9\/504 + v**7\/70 - 244*v**5\/5 + 941*v**2. Find the third derivative of y(t) wrt t.\nAnswer: -11640*t**3 + 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (210 - 210 - 115*n)*(3 - 2 + 2)*(-4*n + 3*n - n)*(-n + 2*n + n) to c*n**3 + r*n + f*n**2 + h and give c.\nAnswer: 1380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2356 and 62454026.\nAnswer: 1178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a - 8. Let y be h(-4). Is 0\/2 - (y - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*-2*21\/(-14). What is the tens digit of 2\/k - (-268)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008623 rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5904, 5905, 5906?\nAnswer: 5907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*c + 58698 - 58854 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1978.53 milliseconds?\nAnswer: 0.0329755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173835 is divided by 270?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 + 0*g - 2*g + 2*g.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -w**5\/20 + w**4\/4 - w**3\/3 - 6*w**2 - 4*w. What is f(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.29 + -0.17. Let s = 0.044 - b. Round s to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -0.7316?\nAnswer: 4.3896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-124)\/(-44) + (-2)\/(-11). Suppose -5*n - 3*a = 2*a - 15, 3 = n + 4*a. Let q be (-2)\/n*(-45)\/6. Solve -2*i + z + 3 = 0, -q*f - 2*i = 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 620*i**3 - 11*i**2 - 9. Let j(q) = -310*q**3 + 6*q**2 + 5. What is -11*j(h) - 6*y(h)?\nAnswer: -310*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1150 and 350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -12*i**6\/5 - 13*i**2\/2 + 93*i - 1. What is the derivative of c(j) wrt j?\nAnswer: -288*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221219365*u**2 + 442439549*u**2 + 4*u**3 - 221220184*u**2.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4123081799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**5\/5 + 105039*p**4\/5 - 210081*p**3\/5 + 105041*p**2\/5.\nAnswer: p**2*(p - 1)**2*(p + 105041)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/(-253)*-11*-13*(-6)\/(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 20*a**2 + 5*a + 106. Let s be (-14 + 6 - -1) + 6 + (-29 - -10). What is h(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 3*y. Suppose -u - 8 = -3*u. Let f be g(u). Suppose 0 = 5*r - f - 6. Solve 3*j = -0*j + w - 5, r*w = -4*j - 20 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 - 3*q**3 + 2*q**2)*(q + 2*q - 2*q + (-5 + 13 - 6)*(-6 + 1 - 7)*(-4*q + 4*q + 2*q)).\nAnswer: 141*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f + -3f25?\nAnswer: -3f34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 9 + 1 - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.34733mm to kilometers.\nAnswer: 0.00003034733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 16*m - 19*m. Let s(r) be the second derivative of 0 + 3*r + 0*r**4 - 1\/2*r**2 + 1\/10*r**m + 0*r**3. Differentiate s(k) wrt k.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 10773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14957, 14958, 14959?\nAnswer: 14960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -i**2*r*x - 22296*i**2*r - 10*i*r*x - 2*r*x + 123*x wrt x?\nAnswer: -i**2*r - 10*i*r - 2*r + 123","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 2*a**2 - 27. Let w(z) = -3*z**3 - 5*z**2 - 53. Calculate -5*k(b) + 2*w(b).\nAnswer: -b**3 + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -178 - -176. Let p be 0 - (b - -2)*(-8)\/(-24). Solve -l - 2 - 2 = 0, p = 2*z + 3*l + 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(6) + sqrt(24)\/sqrt(4))\/sqrt(3))**2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.06 (b) 0.29 (c) -211\/76 (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15.9621 and -0.01016.\nAnswer: 0.162174936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2047 - -3091. Is n a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1740 + 1753. Calculate the lowest common multiple of 2 and v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/14 of a week in hours?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-5593)\/21)\/(-17))\/(2\/24). Put -4, -5, s in increasing order.\nAnswer: -5, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -509, -534, -573, -632, -717, -834, -989, -1188?\nAnswer: -1437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 9. Suppose -t - 1 = s. Let q = 9 + t. Solve -2*a = -4*j + 4, 0 = 2*j + q*a + 10 + 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + l = 0. Suppose l = -5*b - n + 11, -b - b = -2*n - 14. Solve 0*f = -f - h, -b*h = 4*f + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -57*(3\/(-3)*160\/160)\/3?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -11612 + 0.1\nAnswer: -11611.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 6:34 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 5*u - 298*i + 301*i, -4*u - 3*i - 14 = 0. Which is the nearest to -2? (a) u (b) 4 (c) 2.2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -128*z**2\/9 - 34979710*z\/9 + 182186\/3.\nAnswer: -2*(z + 273279)*(64*z - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*a - 104*a - 16 = -2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 - -43. Solve -12 = -a*v + 15*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23875346717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + (sqrt(2299) + -3)*-1)**2.\nAnswer: -88*sqrt(19) + 2315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(18\/4 - -2). Let j = -10 - m. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 7*s + 12 = -4*w, -2*w - 9 = 5*s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/(n\/(n*n**(4\/9)))*n**(3\/2) assuming n is positive.\nAnswer: n**(71\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4683*z + 4677*z + 24. Let d(f) = -f**3 + 7*f**2 - 4*f - 4. Give d(z).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -62, -2.15, 5 in ascending order.\nAnswer: -62, -2.15, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v + 4. What is the remainder when (-5)\/(30\/24) - -17 is divided by z(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2140 is divided by 780?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s - 9. Let r be c(-6). Let g(d) be the first derivative of 1\/3*d**r - d + 0*d**2 - 2. Determine g(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/8 - 3*i + 95\/8.\nAnswer: (i - 19)*(i - 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(459)*3 + sqrt(459) + sqrt(459) - sqrt(459))\/(-5*sqrt(36)))\/((sqrt(24)\/(sqrt(4) + sqrt(12)\/sqrt(3)))\/(sqrt(352)\/sqrt(11))).\nAnswer: -16*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7103\/24836 - 1\/3548. Find the common denominator of a and 58\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -288053 - -546900. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, v: 4, q: 1}. What is prob of sequence vveq?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5*d + 149 + d**2 - 76 - 68. Let n be ((-52)\/16 + 4)\/((-6)\/(-40)). Calculate z(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.104275 rounded to three dps?\nAnswer: 0.104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(6*-5*(sqrt(260) + -2*sqrt(260)))\/(sqrt(125)*-2*-4).\nAnswer: 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19157.36 or -1?\nAnswer: -19157.36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 750 (base 11) to base 8.\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 + 1590*d + 1585.\nAnswer: 5*(d + 1)*(d + 317)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of d**4\/4 + 20*d**3\/3 + 37*d**2\/2 + 22*d - 97. Let m be k(-18). Suppose 0*w = -5*w. Sort w, -2, -3, m in ascending order.\nAnswer: -3, -2, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -53, -68, -81, -92, -101, -108, -113?\n\"Answer: r**2 - 18*r - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 78665 or 78670?\nAnswer: 78670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-51)\/(-612)*26\/5.\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*p - 2*p - 2*p + (-1 - 2 + 1)*(-2*p + 2 - 2) + (-1 - 4 + 3)*(3 - p - 3) + (5 - 2 - 6)*(-3*p + 5*p - p) - 3*p + p + 0*p in the form s + y*p and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) 0.5 (c) -2\/15 (d) 1\/63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b3934b (base 13) to base 14.\nAnswer: 12aa158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000184512731 rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**4\/24 + 2*n**3\/3 + 2*n**2. Let l = -11 - -20. Does 9 divide f(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38178 = 48*b - 1437 - 3537. Calculate the smallest common multiple of b and 310.\nAnswer: 8990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 777 greater than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3152167, 4 in ascending order.\nAnswer: -6, 4, 3152167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 5*n = -32, 11*u - 6*n + 4*n = 9*u - 10 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5701624?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4\/105 + -1\/35. What is the common denominator of f and -4\/15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*l**2 + 174*l**2 - 29*l**2.\nAnswer: 65*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 12*h - 4 + 17*h + h**2 - 46*h + 10*h. What is w(6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**2 + 429*f - 29014. Calculate k(50).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -441\/8? (a) 163 (b) 3\/5 (c) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -o**4\/4 - 8*o**3\/3 - 7*o**2 - 8*o - 981. Calculate j(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b**2 - 2*b**2 + 7*b**2)*(-74 + 148 + 59 - 4*b) as a*b**3 + t*b + v + d*b**2 and give a.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.052 + 3.148. Let l = 0.8 + j. What is the smallest value in -0.3, 0.4, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.369 - 0.269. Is -122 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 101125820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.5 + 1.5. Let s = 10 - u. Does s = 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8078, -8959, -9840, -10721, -11602, -12483?\n\"Answer: -881*d - 7197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2768 divided by -12.\nAnswer: -692\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 824 (b) -11 (c) -0.4 (d) -18 (e) -2 (f) 3\/10\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/4132082 and 15\/4.\nAnswer: 8264164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 4\/3)*(21 + 1725\/(-80)). Which is the third biggest value? (a) w (b) -1\/4 (c) 4 (d) -2\/47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - -0.5. Let t = -4 + 1. Let v = -1 + t. Sort v, 5, g.\nAnswer: v, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) 4 (c) 93 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 19. Let u be (2\/(-4))\/(8\/112). What is the closest to w in u, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12087326 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 6*n**3 - 26*n**2 - 430*n + 948. Determine y(2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**2 + 2*q + 2. Let h(y) = 14*y**2 + 3 + 12*y**2 - 23*y**2 - 3*y - 6. Let n(u) = 3*g(u) + 2*h(u). Let z(d) = -2*d**2. Give n(z(o)).\nAnswer: -12*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 34867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 4*q + 253 - 274 = 0, 14*h + 4*q = -54 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*s**3 + 65*s**3 - 56*s**3.\nAnswer: 79*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.35 + 0.45. Let x = 4.5 - 5. Sort i, -5, x in descending order.\nAnswer: i, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9623*s - 13713583 + 13713583 as y + t*s and give t.\nAnswer: 9623","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + -13. Let r be (-24 - 0)\/4 + 2. Let j = c + r. Which is smaller: 3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**3 - k. Let b be m(1). Sort -2, -3, 5, b in increasing order.\nAnswer: -3, -2, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -353*a + 2088. Determine j(6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z**2 + 3*z**2 - 2*z**2)*(-569*z - 316*z - 111*z) to the form i + m*z + a*z**2 + s*z**3 and give s.\nAnswer: -2988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 1, -0.4, -6\/11, 642, -1\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(175)*-3 + sqrt(175))**2 + 5).\nAnswer: -2115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3*i**5 - 132*i**4 + 138*i**3 + 132*i**2 - 135*i = 0.\nAnswer: -45, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1088))*-5 - (0 + sqrt(1088) + 1 + sqrt(1088)))**2 + ((-4 + -1 + sqrt(1088))**2 - sqrt(1088)) + (-5*(sqrt(1088) + -1))**2 + -2.\nAnswer: 184*sqrt(17) + 81684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 66.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - -586. Suppose 5*n - 100 = -q - p, -1502 = 3*q - n. What is q rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1354 is divided by 668?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x + 5 + 2*x + 2*x**3 - 10*x**3 + 5*x**2. Let d(b) = 18*b - 4 - 4*b**2 - 11*b - 10*b + 7*b**3. Determine 5*d(j) + 4*y(j).\nAnswer: 3*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 174806947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17965*t**3 + 8879*t**3 + 8972*t**3.\nAnswer: -114*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 + -25. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*s + 4. Let f(y) = -2*y - 16. Let d be f(s). Let t be ((-18)\/d)\/((-2)\/(-20)). Solve -z + 4*p = -6*z - t, -z + 2*p = 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(-12)\/62*339\/7119.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 77, 91, 129, 203, 325, 507, 761?\n\"Answer: 2*i**3 + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 15, 55, 121, 219, 355?\nAnswer: 535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 87811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (16 + -1 + 2)*17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4300 - -3?\nAnswer: -4242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/330*-22)\/(654\/5))\/(11\/33)\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c**2 - 2*c - 1. Suppose 5*u + 278 = -3*z, 2*u - 2*z = z - 107. Let g = u + 59. List the prime factors of l(g).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 12*h**2 + 9*h + 26. Let c be a(11). Solve 0 = c*p - 2*g - 1 + 11, 4*g = -4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + (-3 - -2))*-36. Let x = c - -45. Let v be (-18)\/x*(3 - 0). Sort -0.3, 3, v in descending order.\nAnswer: 3, v, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 3670. Let t be w(0). Let n = -5019508\/7 - -713396. Let y = n + t. Find the common denominator of y and 55\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/163 or 0?\nAnswer: -1\/163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9851*u = -9749*u - 963 - 2087 - 622 for u.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1028821 and 2041?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1088) + (-1 + sqrt(1088))*1 + sqrt(1088))**2*6 + -5.\nAnswer: -293795 + 1440*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7197*k - 3638*k + 0*k**2 - 3638*k + 0*k**2 - 42*k**3.\nAnswer: -42*k**3 - 79*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61371184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/13 and -101\/159122.\nAnswer: 2068586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40413805?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 7) in base 4?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -313.46?\nAnswer: -308.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 6*s - 4. Let n be f(-3). Let t = 9\/2 - n. What is the third biggest value in -5, -0.1, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -12 + 6 + -16 + 5 + -3.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 325381.202 rounded to the nearest 10000?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13835\/11 - 1259. Do u and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3051 - -13224. What is the thousands digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -9782\nAnswer: 1\/9782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12688 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 215 (b) -2 (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 205 = -31. Let w = n - 59. Let a be (w - 18\/4)*3\/(-18). Put 1.2, a, 2 in ascending order.\nAnswer: a, 1.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 31. Let q(i) = -2*i + 28. What is the tens digit of q(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*v**2*y**2*z - 5102*v**2*z + 675*v**2 - 2*y**2 - 2*z wrt z.\nAnswer: 2*v**2*y**2 - 5102*v**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 2059.\nAnswer: 2\/2059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(152) - ((sqrt(152) + -4*sqrt(152) + sqrt(152))*-5 - sqrt(152))))\/(sqrt(968) + -4*4*sqrt(968) - sqrt(968)).\nAnswer: -sqrt(19)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -15*t + 2. Let p be d(-5). Let x = p - 53. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - k = -352. Let i = 35 - 27. What is the greatest common divisor of i and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 1)*(j - 4 + 4)*(13*j + 33*j + 20*j).\nAnswer: -66*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5 = 20, 4*p - 18 = m. Differentiate 2 - 46*j**3 - m*j**4 + 46*j**3 wrt j.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 6*z**2 + 9*z - 4. Let k be x(4). Suppose k = 3*g + 4*l - 27, g - l = l + 19. Suppose -16 = g*b - 17*b. Solve -h - 1 - b = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33110)\/7095)\/(1218\/(-54)).\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 14*q - 253. Let c(s) = -2*s**2. Determine l(c(x)).\nAnswer: 4*x**4 - 28*x**2 - 253","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/11463606 and -64\/19299.\nAnswer: 11463606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -5*n + 13 - 1, g = -3*n + 8. Suppose -d + 3*s + 1 + 9 = 0, 3*d - 30 = -g*s. Calculate the common denominator of 24\/7 and (1515\/(-100))\/((-12)\/d).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 288*g. Let x(j) = -799399*j - 1. What is x(m(p))?\nAnswer: -230226912*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 11*j**2 - 2*j - 1. Let m be v(-11). What is the highest common divisor of m and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sllssbssslssslslsl. What is prob of picking 1 l and 2 s?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9310 and 150535?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 56.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-2))\/((-108)\/(-1296)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2299\/7 - -329. Let v = 65 - 64.8. What is the nearest to 7 in w, v, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 54\/9*2\/3. Suppose 3 = -3*s + i*m + 1, -3*m = -s - 9. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) 1\/5 (c) -0.1 (d) -227.81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3757?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68543.\nAnswer: 68543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 666 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000069288 rounded to 7 dps?\nAnswer: 0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-5)*(-50)\/4. Suppose -5*j = 2*t + 41, 4*t - t + 2 = j. Let y = j - w. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7260 + -6342. Calculate the remainder when v is divided by 92.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15213015 divided by -3?\nAnswer: 5071005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/60)\/((-51)\/(-8))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 94.1906 and 34857660.\nAnswer: 34857754.1906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**2\/5 + 74*l\/5 + 104656\/5 = 0.\nAnswer: -211, 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-4) + ((-125)\/(-20) - 9))*8.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14440\/9, -1, 0.125, -2\/7 in descending order.\nAnswer: 0.125, -2\/7, -1, -14440\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 160892*t + 21*t**3 - 159727*t - 4*t**2 + 12*t**3 wrt t.\nAnswer: 198*t - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 6 - (-7 + (14 - 8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/7)\/(7\/49). Is 30 a factor of 45*(14\/u - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10548, 10073, 9386, 8487, 7376, 6053, 4518?\nAnswer: 2771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 + -39. Let y = 2083\/4 + -514. Let c = y + -7. What is the closest to c in a, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 22 - 23 + 0 - 2*x**2 in the form o*x**2 + u*x + j and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 43117 a multiple of 224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 40 = 4*o. Let m = 8 - o. What is the tens digit of (1 + (0 - -2))*m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 354 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70769386*h**2 - 296092*h + 53?\nAnswer: -141538772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1614, -1607, -1590, -1557, -1502, -1419, -1302?\nAnswer: -1145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 74.83234m?\nAnswer: 74832340000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28508 less than 4?\nAnswer: -28504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-362)\/(-6) + 3\/(-9). Suppose -4*o - 16 = -w. Let n = 26 - 9. Solve -3*m - 3*l + n = 2*m, -2*m + o = -3*l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102 + -131011301001?\nAnswer: -131011301103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 57 - 13)*(14*h**3 + 6*h**3 + h**3) to the form a*h**3 + s*h + m*h**2 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 + q - 2. Let u be z(-5). Let b = u - 8. Let f be -1 - (-1 - b)*1. Solve 9 = -3*k + 4*r + f, 2*r + 10 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-24) + (-2)\/(-3))*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dcbceedcaie. Give prob of picking 1 b and 1 c.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42394 - 42394 + 30*n - 30*n - 28*n**2.\nAnswer: -28*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 238 and 172.\nAnswer: 20468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-60)\/24)\/((-65)\/35256) is divided by 124?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 413160 = 413160?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) -2\/5 (c) -556 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3106742767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**4\/6 + 95*d**3\/6 + 160*d**2\/3 + 110*d\/3 = 0. Calculate d.\nAnswer: -2, -1, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23765 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 54*q + 566. Determine o(13).\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1219.0002802 - 1219. Round t to five dps.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 9*t**3 - 41233. Suppose -4*a + 5*g + 27 = 2, -5*a - 2*g + 23 = 0. Let y(o) = a*o + 3*o**2 - o - 4*o. Give y(h(u)).\nAnswer: 2187*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68 + 66. Let x(n) = 86*n + 103. Let l(r) = 171*r + 204. Let w(h) = o*l(h) + 5*x(h). Differentiate w(m) wrt m.\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 1 (c) 1\/2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3762 = x, 96*x = 4*m + 95*x - 3766. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (-4 - -37) + 0. Suppose g - 1 = p. What is the common denominator of 6\/4*14\/g and -32?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(300))*3 + -1)*1 - (sqrt(18)\/(sqrt(42)\/(sqrt(7) - sqrt(7)*-2)) - ((sqrt(36)\/sqrt(3) - sqrt(12))*-2)\/sqrt(4)).\nAnswer: -4 + 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120 - 127) + (3 - (-4 - -22)) + -3.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + (sqrt(77) - 2*sqrt(77)))*4)\/sqrt(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q**3\/3 + 19*q**2\/3 - 64*q\/3 + 4 = 0 for q.\nAnswer: -6, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7620 is divided by 7382?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/1540 and -21\/88.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143 = 12*l + 71 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 31.27744mg?\nAnswer: 0.00000003127744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/13464 and 157\/2177496?\nAnswer: 23952456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21787 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 1270*c**2 - 3*c - 30. Let a be h(-10). What is a rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -p**3\/6 + 5*p**2\/2 + 2*p. Let o be d(0). Suppose o*g - 437 = z - 4*z, 0 = -z + 5*g + 119. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g - 147 = -27. Let t(d) = d**2 + 10*d + 19. Let v be t(g). Suppose 20 = r + 4*l, 0 = -v*r + 3*l + 2*l - 8. Which is bigger: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-108)\/120)\/((-6)\/(-10)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 6*u - 4*n + 9, 2*n - 11 = -5*u. Let o be (u\/2)\/(10\/80). Let g be -4 + 6 + -4 + 1*o. Solve g*b = 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 7*u - 32. Let j(z) = 16*z**2 + 6*z + 38. Let t(r) = -5*r**2 - 2. Let y(v) = -j(v) - 3*t(v). Determine 6*n(w) - 7*y(w).\nAnswer: w**2 + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/5391304 and -121\/89260?\nAnswer: 26956520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (4 + -3) - (-10 + (2 - -9))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 143 - 134. Differentiate 4*a**4 - 4 + 22*a**4 + u - a + 40 with respect to a.\nAnswer: 104*a**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*m, -27 = -3*k + 2*m - 3*m. Suppose 35*y = 30*y - 10. Sort k, -1, y in decreasing order.\nAnswer: k, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8489 and 4.9.\nAnswer: 41596.1","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 13 = -19. Suppose -b*o = -35 - 13. Calculate the highest common divisor of 44 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g + 32. What are the prime factors of k(-7)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5*d, 7*d - 52 = -5*p + 8*d. Solve 0 = 51*a - 46*a - p for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tmataamtammmtma.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + 23033111?\nAnswer: 23033033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75\/(-125)*8\/6*90\/12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 3. Suppose f - 8 = 3*d, -f - q*d = -0*f - 43. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -63*q**3 - 4*q**2 - 48*q - 307. List the prime factors of i(-6).\nAnswer: 5, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 5 - 3 + (-1 + 6 + 2)*(2 + 0 - 4))*(2*v + v - 2*v) to the form t + x*v and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -136*q**4 - 104*q**2?\nAnswer: -3264*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4549135 (base 10) to base 5.\nAnswer: 2131033020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11a (base 16) to base 8\nAnswer: -432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 8 = 5. Suppose -3*z = -3*o + 12, c*o + 24 = -2*z + 6. Do -6 and z have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/12)\/(552\/23)?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + j. Let x(s) = -s - 8. Let p be x(-8). Let g be t(p). Which is bigger: g or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 21 = -37. Suppose 0 = 4*n - f - 51. Calculate the greatest common divisor of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-126)*28\/310)\/((192\/10)\/8)?\nAnswer: 1\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15994754 to the power of 1\/2, to the nearest integer?\nAnswer: 3999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - i + 269 - 187 = 0, -3*c + 54 = 3*i for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -3 - 1) + (-3 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10\/401 - 121\/11228. What is the fourth smallest value in q, 0.2, -1\/26, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 43, 1\/11, 2, -2079, 7?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 7 + 29 = 0. Calculate the remainder when 44 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k - 3. Let t(q) = q + 7. Let m be t(-9). Let v(x) be the first derivative of x + 25. Give m*f(c) - 10*v(c).\nAnswer: -2*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + m**2 + m + 2. Let x be f(2). Suppose i = 2 + 6. What is the greatest common divisor of x and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -0.4, -0.1, 0.6, 1, 74, -2\/35?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/6785820 and 119\/1130970.\nAnswer: 6785820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -51*t**5 + 55*t**5 - 66564 + 787*t**4 + 63480*t**3 - 196600*t**2 + 233*t**4 + 198660*t.\nAnswer: 4*(t - 1)**3*(t + 129)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(612) + -1)*-1 - (sqrt(612)*-1 + -2 - sqrt(612)) - (4 + (-2 + sqrt(612)*2 - sqrt(612))))**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-6)*23\/(805\/(-14))*30.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 86918*m*z**3 - 5*m*z**2 - 203*m*z - 2*z**2 + z wrt z?\nAnswer: 521508*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 4*w + 12. Calculate d(20).\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - v = 14, 43*a = 47*a - 4*v - 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**3 + 148*g**2 - 1232*g = 0. Calculate g.\nAnswer: -44, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-1428)\/(-480))*4?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 41, 32, 23?\n\"Answer: -9*g + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/(sqrt(8)\/sqrt(2)))\/(sqrt(108)*-1).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -1359*z**5\/5 - 520*z**2 + 1171. What is the second derivative of j(f) wrt f?\nAnswer: -16308*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*b - b - 165. Calculate the greatest common factor of 795 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o - 2053 = 19877. Is 15 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(-1*15)*366. Suppose 127*s - 725 = g*s. List the prime factors of s.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ecbd + 2?\nAnswer: -ecbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 51*n**2 - n - 75. Determine t(-51).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 3*q - 14, 5*j + q - 7 = -16 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 17\/(-5) + (-2)\/(-5). Let i = 199\/15 + -47\/3. Which is smaller: q or i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2 - 21*i - 14. What is p(-10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -5*u**8\/336 + 2*u**7\/21 + u**6\/2 - 8*u**5\/3 - 40*u**4\/3 + 72*u**2. Solve p(a) = 0.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-6)*(-48)\/(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 11. Suppose c - 20 = -f*s, 5*s - 48 = -3*c - 8. Solve -s*h = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012879786 rounded to four decimal places?\nAnswer: -0.0129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a decade in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0247313 rounded to 3 decimal places?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -3765.968\nAnswer: 3765.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a day?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 0.3523.\nAnswer: -1.0569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 67, 51, 19, -35, -117, -233, -389?\n\"Answer: -j**3 - 2*j**2 - 3*j + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34556604.\nAnswer: 2, 3, 41, 70237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -193891, -193890, -193889?\n\"Answer: g - 193892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(144)*1)\/sqrt(12) + sqrt(12))\/(sqrt(6) - 2*sqrt(6)*1).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5\/7 - 1479*s**4\/7 - 2349360*s**3\/7 - 681137600*s**2\/7.\nAnswer: s**2*(s - 2519)*(s + 520)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*(u**(5\/4)*u)\/u))\/u**(-14\/5))\/(u**(-17)\/u*(u**(-4\/3)\/u)\/u) assuming u is positive.\nAnswer: u**(1373\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-85)\/(-34)*(-8)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w - 12. Let n be d(14). Suppose 5*j + 3*g = 17, 3*j - 2*g = n*g + 16. Let c = -109 + 100. Sort c, j, 0 in decreasing order.\nAnswer: j, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -70 - (108 + 5 + -62)?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1387825 + -578722748\/417. Let q = 1\/417 + d. Factor q*r + 0 + 4\/3*r**2 + 8\/3*r**4 - 14\/3*r**3.\nAnswer: 2*r*(r - 1)**2*(4*r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23\/((-161)\/56)*90\/(-240).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5966 divided by 3?\nAnswer: -5966\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5781264 to the nearest integer?\nAnswer: 2404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 103493399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -1852\nAnswer: -740.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 337.4 - 336.9. Which is the closest to 1\/48? (a) 5\/6 (b) -0.13 (c) 0 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -287714977*j**4 + 568163094*j.\nAnswer: -3452579724*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20613*s**2 + 9549*s**2 + 907*s**2 - 15812*s**2.\nAnswer: -25969*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2518 + 2518.1. Which is the nearest to j? (a) 6\/253 (b) -1\/2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -123*a*h**4 + 7*a*h - 120*a - 24*h**5 + 3*h wrt h?\nAnswer: -1476*a*h**2 - 480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1311 - -34 - (-2 - 12). Solve i*f - 1363*f - 8 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 4*i + 0*i**3 - 4*i. Suppose -5*k = 4*q - 27, q + 4*q - 2*k - 9 = 0. Suppose q = -w + 1. Let o(f) = f**3. What is w*o(g) - b(g)?\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.4, 0.2, 12\/5.\nAnswer: 0.2, 0.4, 12\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*l**4 - 71*l**4 + 21*l**4 + (-1 - 2 + 4)*(-2*l**3 + 2*l**4 + 2*l**3) - 14*l**4 + 22*l**4 - 12*l**3 - 3*l**4)*(-3 + l + 3).\nAnswer: -56*l**5 - 12*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 8. Let d(p) = 12*p - 72. Let n be d(6). Which is the closest to n? (a) 0 (b) y (c) -2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1373 a factor of 277376206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1635387, 1635383, 1635385, 1635399, 1635431, 1635487?\n\"Answer: h**3 - 3*h**2 - 2*h + 1635391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.12 in -1.68, 0, -0.3, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**2 - 9*f + 2. Let o(i) = -2*i**2 - 10*i + 3. Let s(p) = -3*o(p) + 4*t(p). Let d(j) = j**2 + 6*j + 4. Let m be d(-4). What is s(m)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.1 - 0.6. Which is the closest to 0.1? (a) f (b) -5 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, 1\/7, 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.41 + -0.23. Let r be -7 + 8\/((-1216)\/(-1080)). Which is the third biggest value? (a) 0.4 (b) t (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-426)\/(-42) + 3\/(-21). What is the greatest common factor of k and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/8)\/(((-35)\/20)\/7).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 129195 divided by -9?\nAnswer: -14355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55539 and 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllaallllaallaaaala. Give prob of picking 1 l and 3 a.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, -3\/5, 0, -1 in decreasing order.\nAnswer: 0, -3\/5, -0.8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13056959 is divided by 1740?\nAnswer: 1739","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.7805236 and -354.\nAnswer: -354.7805236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 35666 times -0.2496\nAnswer: -8902.2336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7146883 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 4*g. Let l = -2925 - -2929. Let j(m) = -15*m - 5. Let u(a) = 7*a + 2. Let q(t) = -2*j(t) - 5*u(t). Determine l*q(o) + 5*v(o).\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 3 + 9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 1650 = -6*g, 5*r = -g + 2*g + 4139. Is 46 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -8 + 5)\/(4 - 7)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 245*k**2 + 735*k + 2. Let h be n(-3). Let y(p) = -6*p**2 + p - 2. Calculate y(h).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10685 or 11571?\nAnswer: 11571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1831.708 centuries?\nAnswer: 183170.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 680, 617, 554?\nAnswer: 491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16250668 and 1288?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12468\/19741*(-627)\/(-44)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 15154 = -4*g - l, 4*g + 3*l = 15139. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 5*i**2 + 5*i - 2. Let j = -118 + 122. Determine r(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14c + -6?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3*b - 24 = 0, 3 = -2*b - 3. Let y be (2\/g - -1)*6. Suppose 4*u = 5*j + 85, -u + 35 = y*u + 2*j. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139994734.\nAnswer: 2, 11, 107, 59471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 128*d**4 - 2*d**3 - 221*d?\nAnswer: 1536*d**2 - 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 797290 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2476273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -318, -346, -336, -270, -130, 102, 444?\nAnswer: 914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -n - 0, 12 = 3*s + 3*n. Suppose 0 = -s*b - 5*x - 8, -3*b - 7 = x + 5. Let l(f) = f - 1 + 0 + 3. Calculate l(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108 + 104 - 5*u**3 + 40 - 250.\nAnswer: -5*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 2*n + 6, 0 = -5*n + n + 4. What is the nearest to -1 in g, -4\/9, 5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1172210 rounded to the nearest 10000?\nAnswer: -1170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 72299 - 13397. Let f be 1*(-38905 - (2 - 5)). Let t = l + f. What is t rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1563, 2079, 2597, 3111, 3615, 4103, 4569?\n\"Answer: -r**3 + 7*r**2 + 502*r + 1055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 11 - 3 - 3*m**2 + 4*m**3 + m - 4*m**2 - 5*m**3. Let v be i(-7). Let a(q) = q**3 + 11*q**2 + 21*q + 28. Let n be a(-9). Solve 2*w - n = v for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 4*v**2 + 11*v + 7. Let k be (7*2)\/(0 - 2). Is u(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 36\/5*(-10)\/(-3). Suppose -v - 5*t + a = v, 2*t = 4*v. Let x(y) = y**3 - y**2 - 2*y + 1. Let n be x(0). Solve 0 = -v*p + p + n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x**2 - 3*x**2 - 3*x**2)*(-7 + 3 + 0) + 5*x**2 - 5*x**2 - 6*x**2 in the form s*x**2 + y + d*x and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 0*j**5 + 0*j**4 - 3\/2*j**6 + 0*j**2 + 1\/3*j**3 + 9 + 0*j. Find the third derivative of r(v) wrt v.\nAnswer: -540*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + (sqrt(300) - (4*sqrt(300)*-1 + sqrt(300))) - (3 + sqrt(300) + -2 + sqrt(300))) + 4)**2*-2.\nAnswer: -5418 - 360*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 106\/69093 or 0?\nAnswer: 106\/69093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**4 + 15*v**3 - 270*v**2 - 540*v + 3240.\nAnswer: 5*(v - 6)*(v - 3)*(v + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305*m + 310*m = 50. Suppose 5*h = 7*h - m. Put 3, -5, 4, h in decreasing order.\nAnswer: h, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*((-42)\/(-9) - 5) + (-310)\/(-50)?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -i - d - 7, 5*i + 20 = 5*d. Which is smaller: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 51*c**2 - 89*c - 1. Determine g(-49).\nAnswer: -442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 11:59 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 p when three letters picked without replacement from zrrrpspzzzzps.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 156280 rounded to the nearest one hundred?\nAnswer: 156300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5290376*c. Let i(h) = h**2. Determine g(i(d)).\nAnswer: -5290376*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-376)\/10)\/(4*(-5)\/50) is divided by (-2)\/6 - (-58)\/3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 40125.67 micrometers?\nAnswer: 0.04012567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 12 = 0, 56*j - 34 = 54*j - 4*o. Solve -5*z + 5*n = -2*z + 6, 4*z - j = n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 88 + 14. Calculate the remainder when h is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -18946525, -18946522, -18946517, -18946510, -18946501?\n\"Answer: s**2 - 18946526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -254140307 + -158.3.\nAnswer: -254140465.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-38)\/(-95))\/(1005 - 1). Let s = 86597\/5020 - a. Calculate the common denominator of s and (-244)\/12*1\/3.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6160 + 6160 + 41*l**2 + (-3 - 1 + 3)*(3*l**2 - 5*l**2 + 3*l**2).\nAnswer: 40*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*o - 5*g = -165*o + 15, -2*g = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 80 times 148\nAnswer: 11840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3509077927 to the nearest integer?\nAnswer: 59237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + t + 2*t)*(2*t**2 - 40*t**2 + 66*t**2 - 28*t).\nAnswer: -28*t**3 + 28*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 3*f + 190, 2*d = 8*f - 11*f + 76. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -14 - (-6 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -664*r**3 + 218*r**3 - 6 + 221*r**3 + 218*r**3 + 3*r in the form j*r + q + a*r**2 + w*r**3 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, o: 3}. What is prob of picking 1 o and 1 b?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -131, -290, -513?\nAnswer: -800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**3 + 8*i**2 + 57*i + 101. Determine w(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28079369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8939 - -0.814. Let c = s - -0.098. What is c rounded to three decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*q**4\/7 - 94*q**3\/7 - 20*q**2\/7.\nAnswer: -2*q**2*(q + 5)*(9*q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 76575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 8. Let d(y) = -y - 5. Let a be d(k). Suppose 4*o + 4*x = 104, -a*o + 4*o + 5*x = 22. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) 6 (c) 3 (d) -2 (e) -9\/5 (f) 70\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**3\/4 - 291*k**2\/4 - 393903*k\/4 + 2770551\/4 = 0 for k.\nAnswer: -321, 7, 411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 d when two letters picked without replacement from {a: 9, l: 1, x: 3, d: 2, j: 3, g: 2}.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -424*i - 9281. Give y(-22).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -325 divided by 5.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31)\/(-79856)*-28*-4.\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 8 + (1 - -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.4, -4, 65, -5, -0.5, -7\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**3 + 26 - 10 - 15)*(-6*b + 0*b + 13*b).\nAnswer: -21*b**4 + 7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 467*p + 7. Is h(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, k: 3}. What is prob of picking 2 k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 4950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h\/(h\/(h\/h**(1\/10)))))*h*h*h**(-3\/2)\/h)**20 assuming h is positive.\nAnswer: h**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 5*l**2 + 6*l - 25. Let t be z(5). Suppose -5*o + 1831 = -7*q + t*q, -2*q = -o + 363. What are the prime factors of o?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 9*p**2 + p + 1. Let x be l(-1). Let b be 7\/x + (-4)\/(-18). Let n be 29\/4 - 1\/4. What is the highest common divisor of n and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 3*y + 6 = 0, -45*b + 48*b = -2*y - 13 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l + 1. Suppose -5*b + 15 = y, b + 1 = 2*y - 7. Let m(k) = -9*k - 3. Calculate b*m(i) + 5*t(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from oaba.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 274.5 from -5648438.\nAnswer: -5648712.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 574.8 take away 18659?\nAnswer: -18084.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j**2 - 1673*j - 9915. Let p be u(-6). Suppose 5*i - 685 = -2*h, -591 - 445 = -3*h + i. Calculate the greatest common factor of p and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7012 at most as big as -147272\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-2\/3)*f**(-1\/5)\/f assuming f is positive.\nAnswer: f**(-13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 1039 = -0*v. Let 8 - 304*p + v*p**2 + 405*p**2 + 8 = 0. What is p?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57 + 46 + 150\/14\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4059023.52 to the nearest ten thousand.\nAnswer: -4060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26354767 and 703.\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-76)\/(-95)*((-6)\/3)\/8?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 49, 62, 57, 28, -31, -126?\n\"Answer: -i**3 - 3*i**2 + 29*i + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - v + 15. Let p be i(0). Suppose 4*a - j - p = 0, 0 = -2*a - a - 4*j - 3. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31208 is divided by 37.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -26 (b) 2\/3 (c) 12 (d) 2444\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g + 3*g + 5*g)*(-12*g**2 - 14*g**2 + 4*g**2) + (-4*g + 3*g - 7*g)*(-2*g**2 + 2*g**2 + 2*g**2) in the form h*g**2 + p*g**3 + t + w*g and give p.\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(200)\/sqrt(4) + -2 + (sqrt(90)\/(-2*sqrt(5)))\/sqrt(9)*2.\nAnswer: 3 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -302 - -175. Let s = r - -178. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 5*k**2 + k - 2. Let h be y(5). Suppose h*x - 46 - 128 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 51056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -74314*u + 3133. Is o(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 102*h - 52*h + 271 - 45*h. List the prime factors of f(34).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -15. Let p be (-5)\/(-2) - w\/4. What is the tens digit of ((-44)\/(-8))\/(p\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5212 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6b47a - 1?\nAnswer: -6b47b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five quarters of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010000000001100011 (base 2) in base 8?\nAnswer: -1200143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - b - 3*b - 12 = 0, 0 = 3*z - 5*b - 37. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 3, 11, 146, 4 in ascending order.\nAnswer: -1, 3, 4, 5, 11, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/4*(-6)\/(-9). Suppose -t*u - 2*u = 4*i - 60, -u = -2*i - 12. Is 13 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -3*l**6\/10 + 3*l**5\/20 + 9*l. Factor z(u).\nAnswer: -3*u**3*(3*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - 3*t - 19, -10*t = 2*k - 7*t - 16 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -0*m - 10. What is the third derivative of 6*d**m - 8*d**2 + 3*d**4 + d**2 wrt d?\nAnswer: 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and -1081?\nAnswer: 32.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*u + f - 2*f, 2*u - 2*f = -2. Suppose -4*a = -a - 4*y + 19, -10 = -2*a - 3*y. Let p = u - a. Solve 0 = -0*n + p*n + 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -21, -1\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 12:52 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (-14)\/(-4) - (-1)\/2. Suppose 5*a + 147 = 3*s - 47, 4*s - c*a - 255 = 0. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*m**2 + 18*m**2 + 19*m**2 + 16*m**2 - 3*m**2 - 59*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*f - 3*t - 188, 2*f + 40*t + 13 + 25 = 36*t for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z + 0*z + 6 + 3*z. Suppose -4*d + 4760 = -2*g, -2376 = -2*d - g + 3*g. Let c = d - 1200. Determine f(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49*n**3*w**2 - 509715*n**3 - 89632040*n*w**2 + 4*n wrt n?\nAnswer: -294*n*w**2 - 3058290*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -382 divided by 852\nAnswer: -191\/426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 153215, 5, -4, 3 in descending order.\nAnswer: 153215, 5, 4, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**2*h**2 - c**2 + 23*c*h**4 + 2*c*h**3 + 32*c*h wrt h.\nAnswer: -2*c**2 + 276*c*h**2 + 12*c*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -49597, -49624, -49637, -49630, -49597, -49532, -49429?\n\"Answer: a**3 + a**2 - 37*a - 49562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -19. What is the smallest common multiple of 5 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, v: 6}. What is prob of picking 2 v?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -3. Suppose b*h + 2*h + 6 = 0. Let c(i) = -2*i**2 + 82*i + 4. Let l(n) = 3*n**2 - 102*n - 5. Let a(j) = -5*c(j) - 4*l(j). Calculate a(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, v: 2, g: 1, t: 4}. What is prob of sequence trv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b\/((b**(-1\/9)\/b)\/b))\/b*b**7)\/(b**(2\/9))**(-1\/58) assuming b is positive.\nAnswer: b**(880\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001001110100101101 + 11?\nAnswer: 1001001110100110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 h when four letters picked without replacement from {o: 8, h: 6, w: 1}.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282 = 4*w + 54. Suppose -5*t = t - 390. Suppose 5*v - 2*v - 5*b - t = 0, 3*v = -b + 59. What is the remainder when w is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1402511?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3887719 a multiple of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*c**2 + 90008*c**4 - 90008*c**4 + 0 + 1 - 643*c**5 wrt c?\nAnswer: -38580*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 12*n**2 - 11*n + 3. Let u be w(11). Suppose 5*l - 27 = -g - u, 3*l = -5*g + 32. Solve -g*d + d = 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1201168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 7*g + 20. Let n be a(-9). Suppose -5 = -3*r + 5*q, r - 4 = n*q - 2. Does r = -11\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(-6))\/3*3\/(-18)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5231771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*d - 35*d - 2. Suppose o = -4*r - 15, 0*o - r - 2 = d*o. Let t be (-18)\/(-18)*2*o. Solve t*s - 6*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15.27000317 + 15.27. What is t rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**3 + j**2 + 2*j + 1. Let p be h(-1). Let g be (-1)\/p*(-2 + 2). Let c = 39\/4 + -10. Is c less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 82, 374, 676, 994, 1334, 1702, 2104, 2546?\n\"Answer: y**3 - y**2 + 288*y - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87219012?\nAnswer: 2, 3, 1697, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 2. Let c(i) = i - 2. Let q be c(o). Sort 12, q, 4 in descending order.\nAnswer: 12, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, -1\/2, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1135.1838 + -1135. Let c = -0.31 + 0.15. Let r = c + m. What is r rounded to 3 dps?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 27*n + 355 + 314 = 237 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k + 2780 = 21*k. Let i = 1476 - k. What are the prime factors of i?\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/3 - 0) + -4. Suppose l + j + j = 111, d = -4*l + j + 462. Let m = 94 + l. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i, 0 = 3*c - 2*i - 2*i - 207. Suppose -93*j - 4*z = -96*j + 49, -4*j - 5*z = -117. Calculate the greatest common factor of j and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -0 + 15. Let z be ((-4)\/v)\/2*(19 - 4). What is the highest common divisor of z and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -284 - 1?\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -18*l**2 - 20927 + 20927. Let i(v) = 5*v + 9. What is i(a(k))?\nAnswer: -90*k**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6470 and 1706786.\nAnswer: 1294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 254788 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 5 = -11*c. Let n(v) = -v**3 + 3*v**2 - 3*v + 2. Let j be n(c). Solve 2*h + j = 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n**4 + 476*n**3 + 3*n**2 + 22*n + 11390845.\nAnswer: 8*n**3 + 1428*n**2 + 6*n + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-five eighths of a millennium?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*n - 19 = -4*w, -3*w + 3*n = -21. Suppose -w*l + 4 = j, 25 - 9 = 4*j - 2*l. Solve 3*x - x = d - 12, -2*x - 3*d = -j for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 522392 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 - 300*u - 297.\nAnswer: -3*(u + 1)*(u + 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -u + 107. Let m(r) = -2*r - 11. Let y be m(-11). Calculate the greatest common factor of u and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 11 = -4*g - k, -5*g - k = 17. Let y = -0.04 - 0.06. What is the nearest to -1 in 2\/7, g, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151422 = -9*v + 1195422. What is v rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1))**26\/(h*(h\/(h**0\/h))\/h*h*h*h*h*h)**(-38))\/(((((h*h*h**(-3)*h)\/h)\/h*h*h)\/h*h*h**(-7)*h)\/((h*h**(6\/7))\/h**(-6))) assuming h is positive.\nAnswer: h**(1959\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/2 of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3954, -4113, -4540, -5361, -6702, -8689, -11448, -15105?\nAnswer: -19786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = t, 3*t - 6 - 13 = -x. Suppose -53 = -x*r + 43. Suppose 6 - r = 3*o. Let s(m) = -m**2 - 5*m + 6. Determine s(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1472 - 737 = 5*i + 740 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 205 + -208. Let x = 0.35 + -0.05. Let k be (1 + 0 + -1)*-1. What is the closest to 2 in k, l, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t. Suppose -4*l + 6 = -3*b + 4*b, l + 41 = 4*b. Let i(j) = 11*j + b*j - 19*j. Give i(d(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/39403 + -4294971\/866866. Let k = 3766\/3 + -1566425\/1248. Find the common denominator of k and g.\nAnswer: 4576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, x: 2, w: 2, a: 2, m: 4, u: 1}. Give prob of picking 2 m and 1 u.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 u, 1 f, and 1 k when four letters picked without replacement from ggcdgufguudffkcd?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 591075 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.98 and 4?\nAnswer: -3.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4911, -19623, -44143, -78471, -122607, -176551?\n\"Answer: -4904*p**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/25694 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -980, -7626, -25924, -61700, -120780, -208990, -332156, -496104?\n\"Answer: -971*a**3 + 151*a - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 12 = g + g, 2*x = -4. Suppose -1012*z + 45 = -1009*z. Solve z = -g*i + 21 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1297724 and 116.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1070528 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, j: 2, p: 2, n: 2, z: 1}. Give prob of picking 2 n and 2 p.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t**2 + 0*t**2 - t**2)*(4*t - 3*t + 0*t) + 1991*t**3 - 48402*t + 48400*t + 1526*t**3 as q*t**3 + a*t + y + b*t**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*y**2 - 26661*y + 13332.\nAnswer: -3*(y + 4444)*(2*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -19.5. Let j = 3.4 - 0.4. Which is the second biggest value? (a) j (b) x (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 6*3*(5 + sqrt(192) + -1 + sqrt(192) + sqrt(192))*6)**2.\nAnswer: 2239488*sqrt(3) + 20342016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96840 is divided by 145?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 59621*l**3*x**2 - 14*l**2*x**2 - 10*l**2*x - 2*l*x**2 - l*x wrt l.\nAnswer: 357726*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5051890?\nAnswer: 2, 5, 17, 29717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*i - 52*i - 428 = 0. Find z such that -2\/3 + 4\/3*z**2 + 0*z + 0*z**3 - 2\/3*z**i = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**3 - 13*k**2 - k + 1. Determine c(5).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -238, -192, -146, -100, -54, -8?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 259567.2 millilitres?\nAnswer: 259.5672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10039 = 5*j + 11154. Let q(p) = p**2 - 10*p - 1. Let w be q(10). Let z = w - j. What are the prime factors of z?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9741?\nAnswer: 3, 17, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8778 + -8778. Solve o = 166*u - 156*u - 10 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.145876 + 2.9.\nAnswer: 2.754124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxt when three letters picked without replacement from {t: 3, k: 6, x: 4, i: 1}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 46434169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ljj when three letters picked without replacement from dlddjjddjddldjjlj.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 6*x**2 + 2*x + 5. Let z be a(-6). Let h(w) = -26*w + 1. Let c be h(z). What is the greatest common factor of c and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1015706, -2031413, -3047120, -4062827, -5078534?\nAnswer: -6094241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from assssssasassssss?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -133 + 6*a**2 - 73*a**4 - 82*a**4 + 153*a**4 - 4*a**2 as h*a**2 + m*a**3 + k*a**4 + y + t*a and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 55*t + 1817250 - 1818762 for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 9)*(6*w**3 - 19*w + 19*w)*(-6*w**2 + 11*w**2 + 26*w**2).\nAnswer: 1488*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1000100011100 (base 2) to base 13\nAnswer: 1cbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 5 = -3*c + 2*c, 11 = -c + 5*l for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 418 - 219. Let z = 202 - b. Determine m so that 0 - 2\/7*m + 1\/7*m**4 + 9\/7*m**z + 3\/7*m**2 - 3\/7*m**5 = 0.\nAnswer: -1, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12234 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15230047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 0. Let z = 16 + p. Suppose 0*v - 3*v + z = 0. Calculate the remainder when 24 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 138827, 138838, 138853, 138872, 138895?\n\"Answer: 2*l**2 + 5*l + 138820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14585973 to the nearest integer?\nAnswer: 3819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10065.41557+-2\nAnswer: 10063.41557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*n - 4*s - 2, -n - 4*s = -17. Let i be -1*(-11 - 9\/n). Suppose -i*m + 595 = -m. What are the prime factors of m?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 4*d**2 + 76. Let g be t(-6). Suppose -g*q + 326 = -210. Suppose -3*h = -2*h - 34. Calculate the remainder when q is divided by h.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -725a8?\nAnswer: 725a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1358795 is divided by 941.\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 954 = 188*u - 3558 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 7*i**3 - 328*i**2 - 391*i + 286. What is s(48)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 394, 885, 1572, 2455, 3534, 4809?\nAnswer: 6280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 82, 97, 112?\n\"Answer: 15*v + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 15*u + 11. Let c(p) = -3*p - 2. Let b be 27\/3 - (-2 + 2). Let z be ((-33)\/b)\/(2\/6). Let i = 99 + -101. Calculate i*g(w) + z*c(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 3:35 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48021070.\nAnswer: 2, 5, 4802107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -989.4 and -0.156.\nAnswer: 154.3464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2882 + -1713. Is l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -5*c + 102 - 90, 5*c - x = -6. Put 2, -863, c in decreasing order.\nAnswer: 2, c, -863","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvfvgvpvgvppvfpgv. Give prob of sequence vvf.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 6*u. Let j(t) = t**2 - 7*t + 1. Let h(k) = 6*j(k) + 7*o(k). Let c = 18 - 20. Calculate the lowest common multiple of 8 and h(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5840.1824 rounded to the nearest integer?\nAnswer: 5840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.02 (c) 1 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 9*m**2 + 2*m + 12. Let z be a(-9). Let t = 6 + z. Let c = 4 + t. What is the remainder when 5 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) -1211 (c) 0.2 (d) 5 (e) -5 (f) 1 (g) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 10:47 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-12)*j*j**(-3\/5))\/(j*(j*j**(2\/25))\/j*j*j**14*j) assuming j is positive.\nAnswer: j**(-692\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by 2.\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -23113311320 (base 4) to base 5\nAnswer: -1230344430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1016526 divided by 6?\nAnswer: -169421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5243600 less than -0.3?\nAnswer: -5243600.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -580054*c*u**2 + c*u - 94162*u wrt u.\nAnswer: -1160108*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((1\/3)\/(130\/(-78)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 156 and 15421212.\nAnswer: 200475756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 1.7. What is the closest to -1\/2 in 0, h, -3.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 145*q - 139*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/14 and 47\/7412.\nAnswer: 51884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**2\/7 - 45630*z - 1214556525 = 0. What is z?\nAnswer: -53235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - -31*(-1 + 4). Calculate the greatest common divisor of 38 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1959302?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 5377.\nAnswer: -2\/5377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -19*z - 41. Let r be i(-6). Let s = r - 73. Solve -6 = -3*d + 3*o, -4*d + s*o + o - 4 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3011829a - -2?\nAnswer: -30118298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of b**3\/2 - 3*b**2 + 6*b - 1. Factor m(x).\nAnswer: 3*(x - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -194.9 times 2?\nAnswer: -389.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*r + 52*r. Solve 4\/5*d**2 - d**3 + r + 0*d + 1\/5*d**4 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 323.20023112?\nAnswer: 319.20023112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 23, 6, -21, -58, -105?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 5*s**2 + 2*s - 2. Let u be b(4). Let q be -3*(3 + u\/(-6)). Let v(y) = q*y + 3 + 2*y - 5*y. Give v(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 110101101020101?\nAnswer: -110101101020112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1247.2 - 1247. Let p = -4 - -3. What is the closest to n in 1\/13, p, -0.1?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, v: 1, b: 2, t: 2, h: 1, w: 1}. What is prob of sequence bo?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -147 in 2\/9, 30, 0, -0.3, 19?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/9 (b) 3.93 (c) 1\/17 (d) 2\/3 (e) -2\/7 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n**3 - n + n + (0 + n**2 + 0)*(0 + 0 + n) - 3*n + 3*n**3 + 3*n in the form j + t*n**3 + f*n + x*n**2 and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -11*l + 19. What is a(9)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20def0 (base 16) in base 9?\nAnswer: 4043032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1906 or -2066?\nAnswer: -1906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, -14135, 0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 160004544*q**3 - 20911764 wrt q?\nAnswer: 480013632*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 11. Is h < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**5\/9 + 20930*d**4\/9 - 62858*d**3\/3 - 439930*d**2\/9 - 230428*d\/9 = 0. What is d?\nAnswer: -10474, -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(88)\/(sqrt(8) - sqrt(8)*2) - ((1*sqrt(66) + sqrt(66))*-3)\/sqrt(6).\nAnswer: 2 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a micrometer in nanometers?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 0*z**3 + 2 - 2*z**3 + 4*z - z + 8 in the form j + v*z**3 + f*z**2 + h*z and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1.533273s?\nAnswer: 1533273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 + 0*h + 0*h + 6*h**3.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/((-2576)\/(-69)) - ((-105)\/(-180))\/(2\/(-6)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12501, -49968, -112423, -199872, -312321, -449776?\nAnswer: -612243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 355458 and 13860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -382 + 186. Let f = x - -470. Is 9 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -519.5 - -520. Which is the closest to 1\/5? (a) 15 (b) -2\/5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/221 and -1\/920040.\nAnswer: 11960520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 719 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.273 - -0.073. Which is the closest to 0.27? (a) -0.4 (b) i (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.6*3205.\nAnswer: 43588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 7*o - 3. Give g(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7554146 minus 1?\nAnswer: 1.7554146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0\/k)**(1\/2)*k**2*(k*k**(-2\/5))\/k*k assuming k is positive.\nAnswer: k**(21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -7*j**3 - 4*j. Let a(w) = 15*w**3 + 9*w. Let y = 430 - 415. Suppose -23 = y*p + 112. Determine p*g(b) - 4*a(b).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.16 + -0.04. Let p = -0.3 + s. What is the second smallest value in p, -1\/6, 1\/4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 - 52 = k - 5*z, 4*k + 16 = 23*z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*y**4 - 11*y**5 - 7*y**4 + (-63 + 168 + 290*y - 288*y)*(2*y**4 + 3*y**4 - 3*y**4) + y**5 - 3 + 3.\nAnswer: -6*y**5 + 210*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 28*s**2 + 8*s + 63. Calculate y(-28).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21431532 (base 8) to base 6.\nAnswer: -242335214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 142 - 139.46. Let r = -0.24 + o. Round r to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dcdu when four letters picked without replacement from {d: 2, c: 1, u: 1, t: 2, g: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*z. Let a(g) = g + 180. Let w be a(z). Let c = 26 + -6. What is the highest common divisor of w and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -660*(-3)\/(-45)*-5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26860 divided by 5372.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45297*r - 9792 = 46113*r for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05454694401 rounded to four dps?\nAnswer: 0.0545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85915 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 8 = -11. Let w = -22 + j. Let b(v) = 2*v + 3. Let o(y) = 3*y + 4. Let q(s) = -6*b(s) + 5*o(s). Determine q(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 3:55 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/155?\nAnswer: -1\/155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 6:02 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/1*((-2)\/(-2))\/((-59)\/59).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 w, and 1 x when three letters picked without replacement from wwpptpwtptpwwxx?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = 6*u - 96. Let s(v) = v**3 + 10*v**2 - v - 2. Let b be s(-10). Suppose 5*r + 2*x + 10 = 2*r, b = -2*r - 2*x. Sort -5, r, u in decreasing order.\nAnswer: r, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 908?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/51 in -0.08943, -83, 0, -1, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3))**(7\/5)*((s**(-6)*s)\/s)**3 assuming s is positive.\nAnswer: s**(-111\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 201.97 - 201.47. Sort -5, t, -104.5.\nAnswer: -104.5, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9395.26 and 638.\nAnswer: -5994175.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e + -21?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -27800007 - (-6)\/((-6)\/(-7)). What is j rounded to the nearest one million?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1411294*t - 1411268*t + 2822627*t.\nAnswer: 65*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 20, 0 = q - 2*q - 3*p + 65. Suppose 0 = -3*l - 2*t - q, 0 = 2*l + t + 34. What is the tens digit of ((-52)\/6 - 0)\/(12\/l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**2 + 8*w - 8*w + (0 - 4 + 2)*(3 + 3 - 5)*(-2*w + 2*w + 2*w)*(-85*w - 68*w - 31*w).\nAnswer: 732*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x**2 - 2*x + 1. Suppose 130*k - 125*k = 35. Calculate the smallest common multiple of k and i(1).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + ((2*sqrt(143))\/sqrt(11) + 0)**2 - 5*((sqrt(13) + 1)*-3 + sqrt(208))).\nAnswer: -130 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q**2. Let r(y) = -18*y - 22*y + 6*y. Calculate x(r(h)).\nAnswer: 4624*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*w**3 + 201822 - 201822.\nAnswer: 34*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 11*o - 28. Let c(m) = 7*m + 318. Let n be c(-46). Let y be t(n). Put y, -152, 5 in ascending order.\nAnswer: -152, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2221279?\nAnswer: 409, 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.7 or -54389?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*sqrt(4)\/(2*sqrt(242)) - (sqrt(2) + ((-1*sqrt(6) - sqrt(6))\/sqrt(3))**2 + 3 + 1)).\nAnswer: -10 - 23*sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/10)\/((-4)\/(-5)). Let z = 0.484 + -0.184. Which is the closest to 2\/15? (a) -2\/9 (b) q (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28370 rounded to the nearest one thousand?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in 2, 0.03, 0.4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 17 + 11*g + (g + 2*g + 4*g)*(-1 + 2 + 2) to o + j*g and give j.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1432, 4401, 12458, 28147, 54012?\n\"Answer: 424*t**3 + t + 1007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-6)*-4 + 6. Let r(q) = -10 + 6*q + f + 3*q. Let n(z) be the third derivative of -5*z**4\/24 + z**3\/6 - z**2. Give -5*n(o) - 3*r(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-50)\/(-6))\/(1\/3). Let v(t) = o*t**2 - t**3 - 29*t**2 + 3*t - 3 + 4. Let u = -7 - -3. Calculate v(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 2:27 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6680263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -6*q**2 + 13*q**2 + 4*q**2. Let r(m) be the third derivative of -m**4\/24 - 268*m**2 + 7. Give r(c(i)).\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 48384*y**2 + 2 - 2 + 48386*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 297407 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 - 215 = 51*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 1\/28802717?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5938142.\nAnswer: 2, 7, 523, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -4. Let k be -1*(2 + (-6)\/4). Which is the closest to -0.1? (a) -2\/3 (b) k (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 1 + 3 + 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 35. Let k = -18 + 3. What is the units digit of i(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230899 = -k + 5*t, 8*t + 692680 = 3*k + 10*t. Suppose 28*d - k = -6*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17166, -34331, -51496, -68661, -85826, -102991?\nAnswer: -120156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(56) - (sqrt(672) - 2*sqrt(672))\/sqrt(12))\/((sqrt(72)\/sqrt(3))\/sqrt(3)) + -2.\nAnswer: -1 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1753.11 - 1.89. Let j = -1754.9117 - m. What is j rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -46*r + 66*r - 180 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8946*t**3 + 2237*t**3 + 2230*t**3 + 2257*t**3 + 2247*t**3.\nAnswer: 25*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 169768938 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 488 - 735 - 73 = 0. Calculate the highest common factor of 837 and x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2554121\/143 + -17861. What is the closest to v in 4\/5, 0.02, -2\/5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/1 - 5 - -6. Let q(v) = 3*v - 3 - 6*v**2 + o*v**3 - v**3 - 2*v**3 + 3*v**2. Let i = -170 + 173. Determine q(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 15. Let a = 2 + -3. Let i = 0.57 - 0.07. What is the nearest to a in r, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1084 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-3*((2*sqrt(133) - sqrt(133) - sqrt(133))*-2 + (5*(sqrt(133) + sqrt(133)*-1) - sqrt(133)))\/(sqrt(84)\/(sqrt(192)*-2)).\nAnswer: 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 31*j + 1409. Calculate f(-45).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 3:17 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*q**3 + 249*q**3 - 126*q**3.\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-40 + 35)*-6*(-7)\/(-70). Suppose -3*s - 5*x - 25 = 0, -5*x - 25 = -4*s - s. Solve -m = -q - s for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*q = 20*q - 2*a - 3, 0 = -q - a for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 570629091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -780 - -3259. List the prime factors of p.\nAnswer: 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -265 + 270. Let x(b) = -b**3 + 24*b**2 - 23*b + 10. Let q be x(23). Suppose 2*k = 4*r - 5*r - q, 4*k + 20 = -4*r. Sort -7, h, k, 4 in ascending order.\nAnswer: -7, k, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + -18. Let m = w + 24. Is 16 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -81, -6 in decreasing order.\nAnswer: 1\/6, -6, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*a**6 - 6*a**5 + 607*a**2 + 1?\nAnswer: 2400*a**3 - 360*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m. Let k(d) = d + 20. Let x be k(-16). Suppose 0 = l + 3*l - 3*z - 24, -x*l + 2*z = -20. Let w(i) = 1. Calculate l*w(f) + u(f).\nAnswer: -2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 304743073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 11*o + 6*o + o**2 - 16*o. Let y(b) = -5*b**2 + 5*b. Let s(t) = -2*l(t) + y(t). Find the second derivative of s(a) wrt a.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 1\/4, 16, 0.3, 0, 4.72?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.67518368442 - 4?\nAnswer: 45.67518368442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -u - 4. Let p(y) = -98*y + 99*y + 1 - u. Let c(l) = -2*l - 36. Determine c(p(q)).\nAnswer: -2*q - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -848610 rounded to the nearest 1000?\nAnswer: -849000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 2\/17*p**2 + 6\/17*p**4 + 0 - 2\/17*p**5 - 6\/17*p**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 4:54 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 420333337 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/2077 and -67\/22.\nAnswer: 45694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 19303, 38578, 57815, 76996, 96103, 115118, 134023?\n\"Answer: -3*c**3 - c**2 + 19299*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18413468 to the nearest integer?\nAnswer: 4291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.5322278 rounded to 2 dps?\nAnswer: 7.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -45771092 minus 722?\nAnswer: -45771814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 504 and 2664.\nAnswer: 18648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r + 178 = 150 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11, -1\/2, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -3*c + 5*s, -5*c + c + 2*s + 94 = 0. Is (-3)\/(-21) - (-11694)\/c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 927428 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.29 in 2\/3, -2.177, 10\/3, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 90 + -54. Let v = u + -34. Suppose 3*i = -5*h + 80, 2*h = 2*i - 0*i - 32. Calculate the least common multiple of v and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*h + 6*h - 4*h)*(2*h + h - 4*h) + 0*h**2 + 0*h**2 - 3*h**2 - h**2 - 2*h + 2*h - 3*h**2 - h**2 + 0*h**2 to j*h + i + b*h**2 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 1, -44, 14, -130, -4, 0 in increasing order.\nAnswer: -130, -44, -4, 0, 1, 14, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16866323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (394\/1379)\/((-1)\/7). Sort -33, -3, s in increasing order.\nAnswer: -33, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 505, 499, 493, 487?\n\"Answer: -6*t + 511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 3.2. Let j(v) = v**2 + 9*v + 10. Let f be j(-2). Let b be f\/46 - (-342)\/2346. Which is smaller: a or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2030 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78, 3, 0 in ascending order.\nAnswer: 0, 3, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2001 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(425)*4 + 0 + 5 - (-2 + (-1*sqrt(272))**2)*-5.\nAnswer: 20*sqrt(17) + 1355","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnn. What is prob of sequence nn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -212544 (base 6) to base 14\nAnswer: -6532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 - -58.6. Let a = 20.4 - v. What is the third biggest value in a, -1, 5, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23987 is divided by 886?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -27967000 to the nearest 1000000.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 6 - (-2 + 3). Calculate the remainder when (-445)\/(-20) + (-1)\/m is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/2)\/(26\/(-4)). Let u = 54 - 57. What is the nearest to 1 in u, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/2*(10738\/(-177) + 54).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 1:10 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1)*l**(-38))\/(l*(l\/(l**(-8\/7)\/l*l)*l)\/l*l*l*l\/(l\/(l*l\/(l*l\/(l*l**(-1\/16)))))*l) assuming l is positive.\nAnswer: l**(-5161\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 2*x - h, 4*x + 3*h - 8 = 145. Suppose -30*q = -42*q + 300. Let u = x - q. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9853092 + 0.3\nAnswer: -9853091.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 1, -18*j + 1 = 2*h - 23*j. Let n(i) = -5*i**3 + 4*i**2 + i - 3. Let y(u) = u**3 - u**2 + u + 1. Determine h*y(w) + n(w).\nAnswer: -2*w**3 + w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 0, -4*n = u - 2*u - 1. Let l be (-22)\/(-30) + (-2)\/6. What is the biggest value in u, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57*n**6 + 3*n**4*y + 5*n**2*y - 2*n*y wrt n.\nAnswer: 6840*n**3 + 72*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**5\/8 + 2329*a**4\/4 - 67887*a**3\/4 + 87263*a**2 - 1213795*a\/8 + 323403\/4 = 0.\nAnswer: -4687, 1, 2, 3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 139307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3 + 1 - -3)\/((7 + -14)\/(-2114)) is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + 1*4*(1 + sqrt(7)))**2.\nAnswer: -672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3141111 (base 5) to base 15\nAnswer: 10906","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50 (base 10) to base 9.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1750958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 2\/27*t**3 + 0*t**2 - 1\/36*t**4 + 0*t + 1\/54*t**6 + 46 - 2\/45*t**5. Factor v(h).\nAnswer: h**2*(h - 2)*(h - 1)*(h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66 - -4. Calculate the remainder when 5208\/j - 3\/(-5) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(4\/7)*c)**(-35)*c**6*c**(4\/3) assuming c is positive.\nAnswer: c**(-143\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33702233239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**5\/12 + 23*c**4\/24 - 5*c**3\/6 + 22*c**2. Let t be m(-10). Let g = t - 75. What are the prime factors of g?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.12092 rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-2) + 599\/2. Let f = 103 + -100. What is the second derivative of -m*a**f - a + 3*a**5 + 299*a**3 wrt a?\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -1, 242 in ascending order.\nAnswer: -3, -2, -1, 242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 15) to base 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.08119ml to litres.\nAnswer: 0.05008119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/(-24)*-2 - (29 + -25)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*j - n + 11 = -28*j, 0 = -3*j + 3*n + 21. Put j, 2, -4, -529 in ascending order.\nAnswer: -529, -4, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 101 - 133. Let g(o) = o**2 + 31*o - 34. Let v be g(i). Which is the smallest value? (a) 4 (b) v (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z - 5. Suppose 5*a + 165 = 145. Let m(d) = -2*d + 4. What is a*q(t) - 5*m(t)?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/28 and -83\/36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 32. Let c = i + 23. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23.8 + 22. Let h = s - -1.7. Let l = -108\/65 - -32\/13. What is the nearest to -1 in l, -0.4, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000618 to five dps.\nAnswer: 0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -29427 + 29427 + 5*g**2 - 1400*g.\nAnswer: 5*g*(g - 280)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 + 73*y + 73*y - 140*y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 99, 405, 939, 1719, 2763, 4089?\n\"Answer: 3*k**3 + 96*k**2 - 3*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2659 is divided by (-57)\/12 + (-21823)\/(-628)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6665\/(-258))\/155 + (-271)\/30)*(-10)\/(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103730623 to the power of 1\/2, to the nearest integer?\nAnswer: 10185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 54 = -70. Let c = -27 - z. Suppose -q + 40 = -2*y, -62 = c*y - 5*q + 12. Is y greater than -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v\/(v*v**(-7)))))**31\/(v**(2\/9)\/(v**(-3\/11)\/v)) assuming v is positive.\nAnswer: v**(21335\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 3.51.\nAnswer: 3.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004351669 rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 2*s - 9*s + 40. Let q(r) = -r**2 + 2*r**2 + 3*r**2. Let n(z) = 4*z**2. Give s*q(a) - 4*n(a).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1375)\/(-500) + 5\/4. What is the highest common factor of d and 486?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -22, -6, 30, 243?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 2380.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -103, -20.55, -0.3, 2 in decreasing order.\nAnswer: 2, -0.3, -20.55, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*t - k + 5*k, 0 = -5*k - 20. Solve 0 = 4*c + 5*y - 22 + 1, 3*c + t*y - 15 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h. Let z(k) = 103218*k. What is z(w(m))?\nAnswer: 103218*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121052774 a multiple of 347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197256 is divided by 5330.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -20 - 335*h + 178*h + 156*h + 1. Calculate a(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2, -25, -4\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*4\/(-16)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b - 5*v - 40, 92 - 150 = -5*b - 4*v for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3*x + 6, 22 = 4*x + 14. Solve 2*w = h, w = -a*h + 2*h for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42*g*o**6 - 204*g*o**5 - 1600*g*o**2 + 186*o**2 - 2 wrt o?\nAnswer: -5040*g*o**3 - 12240*g*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18947047 a multiple of 390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l + 18. Let p(t) = -t - 22. Let o(f) = -5*g(f) - 4*p(f). Let b(j) = j**2 - 2*j - 2. Let i be b(-2). Suppose -8*k + i*k = 18. Calculate o(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from eeeeeeiddcccieec.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -14, 2.2, 1?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 5 (c) -2\/5127 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -86, -170, -254?\n\"Answer: -84*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -h**3\/2 - 11*h. Let g(p) = 4*p**2. What is o(g(k))?\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 7*o - 4*o = 0, 0 = -q - 5*o + 30. Suppose 5*r + q = -195. Let k = -122\/3 - r. What is the second smallest value in k, 3\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4282883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 4 (b) 41 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 251 + -254. Let l(j) = j + 1. Let c be l(0). Let d(k) = 1. Let b(f) = 3*f + 7. Let p(y) = c*b(y) + r*d(y). Find the first derivative of p(t) wrt t.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**5\/3 + 196*n**4\/3 - 1064*n**3 + 1872*n**2 = 0.\nAnswer: 0, 2, 18, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + sqrt(3) + sqrt(192) + 2)*5)**2.\nAnswer: 1000*sqrt(3) + 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53196 by 9.\nAnswer: -17732\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -61 (base 16) to base 3\nAnswer: -10121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 232*z. Let x(c) be the first derivative of -11*c**2\/2 - 2025. Determine x(b(d)).\nAnswer: -2552*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1 - (-6)\/15 - ((-1040712)\/40)\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*d - 21*d - 20. Suppose 4*c = -3*f + 7219, -3*c - d*f = f - 5428. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4076*d + 11*d**3 + 15*d**3 + 4076*d - 25*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/2 (b) 12 (c) -4 (d) 670\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + (-5 - 1))\/(-2). Factor 9 - 9 - 4*o**n + 16*o**2 - 4*o**3 + 16*o.\nAnswer: -4*o*(o - 2)*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -197.2064482 rounded to 2 dps?\nAnswer: -197.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 2\/551 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2458173 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 + 2*u**2 + 0*u**2 + (4*u - u - u)*(0*u - 2*u + 4*u) - 57*u**2 - 40*u**2 + 18*u**2.\nAnswer: -74*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 - 2*v + 6. Suppose 2 = -0*r + r. Suppose -2*a - a - 27 = 3*y, -r*y - a - 13 = 0. Let j(u) = -4*u**2 + 4*u - 11. Determine y*j(m) - 7*w(m).\nAnswer: 2*m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of 5*d**4\/12 + 7*d**2. Let y(s) = 4*s + 2*s - 5*s. Let t(k) = 4*k. Let m(x) = -6*t(x) + 22*y(x). Determine h(m(r)).\nAnswer: -20*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-10)\/200*-2*3?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19.3 in 3, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18, -54, -110, -192, -306?\n\"Answer: -x**3 - 4*x**2 - 17*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 5*u + 4. Let c be z(3). Let w = c + 2. Suppose -m + 2*m - 3 = w. What is the highest common factor of m and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-58)\/8)\/(-6*(-15)\/720). Suppose 3*j + 162 = -0*j. Let p = j - a. Solve 15 = g + p*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 376, 2952, 9930, 23512, 45900?\nAnswer: 79296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 10*l**3 + l**2 - 1. Let x be p(1). Let v = -7 + x. Let s = 4\/135 + -568\/945. Which is the third smallest value? (a) -5 (b) v (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 5*l - 540. Let m be (-1)\/(l\/6 + -5). Which is the nearest to -1? (a) 3 (b) m (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*w**4 - 3*w**3 + 485*w**2 + 38501 wrt w.\nAnswer: -20*w**3 - 9*w**2 + 970*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - k - 2*u + 21 = 0, -9 = -3*k - 3*u. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 10:01 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**5\/2 - 4*b**4 - b**3\/2 + 46*b**2 - 30*b - 72 = 0.\nAnswer: -3, -1, 2, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*v - 4*i - 9, 0 = -4*v + 5*i. Sort 2, v, 4 in descending order.\nAnswer: v, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 156423330?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/12 and -107\/1529924.\nAnswer: 4589772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 t, and 1 d when three letters picked without replacement from {x: 2, d: 2, k: 1, t: 1, c: 1, e: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 1\/45*a**5 + 2*a**2 + 0*a**3 + 0 + 1\/180*a**6 + 0*a + 1\/36*a**4. Determine s, given that d(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*(-8)\/(-1020)*3\/((-1743)\/(-35)).\nAnswer: 2\/249","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, -590, 4\/11?\nAnswer: -590","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -568a3b (base 13) to base 4\nAnswer: -13303302223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 602763, 602760, 602757, 602754, 602751?\nAnswer: 602748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10012000111 (base 3) to base 16\nAnswer: f4f3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5 - 6\/5*r - 2*r**2.\nAnswer: -2*(r + 1)*(5*r - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a + b?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1874715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 3:12 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**4 + u**4 - 6*u**4 + (u - 3*u + 10*u)*(-6*u**3 + u**3 + 2*u**3) in the form m*u + y*u**4 + t + c*u**2 + r*u**3 and give y.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from fflffflllffffffffl?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 4. What is the least common multiple of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 3*i + 8. Let o be z(6). Let k = o + -5. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16 - -15)\/(1\/(-15)). Let a = -15 + q. Suppose a = -2*d + 34 + 4. What are the prime factors of d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*a + 19, -s + 5*s + 32 = 4*a. Factor -2*k**3 + 26*k**2 - 41*k**2 + 21*k**2 - k**a.\nAnswer: -3*k**2*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/8)*x*x*x\/x**4)**(-1\/7) assuming x is positive.\nAnswer: x**(1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 19076*n + 2117441. Calculate h(-111).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 1255*b. Let d be j(2). Let i(h) = h**3 - 10*h**2 + 5*h - 40. Let n be i(10). Suppose n*z = 5*z + d. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 5*z - 7590, 2*z + 0*z = o - 1515. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 1 = 3*n, 11*h - 5*n = 12*h - 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 206383 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 1. Let s(a) be the first derivative of a**6\/120 - a**5\/30 - a**4\/8 + 58*a**2 - 33. Let q(c) be the second derivative of s(c). What is q(o)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 40 = 2*w + 3*f, -2*w = -5*f - 1 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23132 (base 4) in base 10?\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**6\/300 - 403*h**5\/150 - 80*h**4\/3 - 532*h**3\/5 + 3254*h**2. Let o(v) = 0. Calculate v.\nAnswer: -399, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 1 + 5*p**2 - 2*p**2 - 4*p**2 - 14*p. Let x = -54 + 44. List the prime factors of y(x).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 31*r. Let n(l) = -495*l. Suppose 28*o + 8*o - 168 = -6*o. Determine o*n(p) + 66*m(p).\nAnswer: 66*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 7112675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -40*w - 397. Let y be q(-10). What is the second smallest value in 2\/3, 4, -0.087, y?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3 = -9. Let h be 7 - (v - 1 - 0). Suppose h*r + 2 = 37. Solve 5 = -r*w + 2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2505265730 rounded to the nearest one million?\nAnswer: -2505000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 19767137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 12*o**2 + 484*o - 334. What is x(-41)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (62\/(-899) - (-2440)\/58)\/(-2 - -12)\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 152, 0.1, -6, -7\/2, 2, -201?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2 (b) -12 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 12:46 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3820, -3202, -2566, -1906, -1216, -490?\n\"Answer: f**3 + 3*f**2 + 602*f - 4426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 589, 1201, 1813, 2425?\nAnswer: 3037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 142431 or 145659?\nAnswer: 145659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -699 + 698.9999976. Round h to seven dps.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, t: 14}. What is prob of picking 2 o and 2 t?\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3\/2 + 155*w**2\/2 - 200*w - 280.\nAnswer: -5*(w - 28)*(w - 4)*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -135 - -139. What is the hundreds digit of -5 - (-2)\/f*286?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185906801.\nAnswer: 139, 1337459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 11:29 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 0 - (34\/(-9) - -4).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41978*p**4 + 5*p - 831?\nAnswer: 503736*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + 129. Suppose -6*a = u - 4*a - p, 5*a = -2*u + 225. List the prime factors of u - (2 + (-5 - -1)).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = 4*k - 2*b + 232, 3*k - 196 = 4*b. Let v be (k\/14)\/((-8)\/(-56)). Let s(w) = 0*w**2 - 30*w + 17*w**2 + v*w. Let c(a) = -4*a. Determine c(s(l)).\nAnswer: -68*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 257554 and 1802878?\nAnswer: 1802878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1083 - 3384 - 57*f + 113*f**4 - 4*f**5 + 59*f - 2*f**5 wrt f?\nAnswer: -120*f**3 + 1356*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 + -31. What is the remainder when 11 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-126)\/(-35) + (4 - 7). Let z = 14 + -14. What is the nearest to z in u, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/3 + (-20)\/(-12). Solve -5*n + o - 26 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 3*x = 0, 2*n - 24 = 4*x - 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - u - 16. Let i be g(0). Let j = 2 - i. Calculate the remainder when j is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13971168 divided by 1746396\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 6:39 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57797 is divided by 57783?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 305259 less than or equal to 305262?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.62267 rounded to 2 dps?\nAnswer: -10.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15083519?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13524 (base 6) to base 2.\nAnswer: 100001011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/4149 (b) 0 (c) -779\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kt when two letters picked without replacement from oktot.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 150343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = y - 3, 0 = -4*y - 4*v - 8 - 16. Let m be (-1)\/((-27)\/(-2))*y. Let o = -207 - -205. Put m, 5, o in increasing order.\nAnswer: o, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111211 - -20?\nAnswer: 112001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -102*r**3 + 75*r. Let j(b) = -26*b**3 + 19*b. What is 15*j(s) - 4*x(s)?\nAnswer: 18*s**3 - 15*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 7*u**6\/120 + u**5\/60 + 15*u**2. What is the third derivative of n(d) wrt d?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67361274.12107472 + 67361295. Let u = v + 2.12105762. Let l = -23 + u. Round l to 6 decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -129\/133 - -13\/19. Which is the closest to -1? (a) 2 (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 678\/(-17628) - 86\/(-39).\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21\/8 of a day?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 577206 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 0)*(-8 + 8 - 6*n) - 31 - 29 + 58 + 18*n.\nAnswer: 12*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r - 8. Let k be v(6). Suppose -k*g + 7*g + 9 = 0. Solve -s = 3*p + s - 1, 0 = -g*p + 4*s + 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-7 + (-3 - -14) + -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-1*1)*(-33 - -33). Suppose -12*l + 8*l - 208 = k. Let w = l + 55. Solve 3*b = o + b + 4, -w*o = b - 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -206 - -211. Let c(u) = u**2 - 6*u - 1. Determine c(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4263\/33848 - -4\/4231. Which is the nearest to 2? (a) v (b) -1\/12 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/4)\/(((-132)\/1232)\/(4\/(-14)))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 3*j + 234 = 0. Suppose j*z = 25*z + 5. Factor -21*n**4 + 16*n**4 + 0*n**5 - 35*n**2 - 20*n**4 + 10*n + 5*n**z + 45*n**3.\nAnswer: 5*n*(n - 2)*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 6. What are the prime factors of (-1)\/r - 150\/(-8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7870 and 15.\nAnswer: 23610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 k when two letters picked without replacement from zzzzkzzkzvkzkztkz?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*q + 11, -2*r - 2*q - 2*q - 16 = 0. What is the nearest to -4 in 0.2, 7, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*y**2 + y - 5*y**2 + 17*y - 6*y**3 wrt y.\nAnswer: -36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*f + 82 = -216 + 76. Determine n so that 0*n + 45\/2*n**3 - f*n**2 - 189\/4*n**4 + 0 + 147\/8*n**5 = 0.\nAnswer: 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 0.2, 6, -0.1, 1 in ascending order.\nAnswer: -18, -0.1, 0.2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1242504886 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) -5\/42 (c) -169\/5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/65180 and -59\/14209240.\nAnswer: 14209240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 140069 to the power of 1\/2, to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/10)\/((-5)\/(-15))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36851? (a) -7 (b) -1 (c) -1\/40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 7:09 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 134*t + 3. Give j(-1).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -6*g + g + 26, -18 = -2*g + 5*q. Suppose -2*w + 185 = y, w + 4*y = -g + 114. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/24 + (-20)\/((-1599840)\/(-105747))?\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2 - 11*k - 12. Let f(b) = b**3 + 4*b**2 - 4. Let l be f(-4). Let r be q(l). Is 4\/29 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*k**2*p + 3*k**2 + k*p - 9 wrt k.\nAnswer: 12*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 1953 = t. Suppose 5*s - 2*s + 4*i = 298, 0 = 2*s - i - t. What are the prime factors of s?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25404707 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2392650 to the nearest integer?\nAnswer: 1547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3676*l**2 - 1358*l**2 - 1362*l**2)*(l - l - l) - 4*l**2 + 2*l**3 + 4*l**2)*(-4 + 4 - l**2).\nAnswer: 954*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-12)*l)\/(l\/(l\/l**(-12))))\/((l**(-19)\/l)\/l*l)**(-1\/21) assuming l is positive.\nAnswer: l**(1\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9226, -18460, -27694, -36928, -46162?\nAnswer: -55396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 60105*t - 240108. What is w(4)?\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*u + 13*u = -264. Which is the third smallest value? (a) u (b) -3 (c) 7\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2588996 is divided by 199?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/7392 and 163\/11424.\nAnswer: 125664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1376 + 11656*p + 2788 - 1412 to the form z*p + w and give z.\nAnswer: 11656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 4:12 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -52978, -106339, -159700, -213061?\n\"Answer: -53361*z + 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.04 - 0.04. Let h = x - 0. Sort -1\/8, -2, h.\nAnswer: -2, -1\/8, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 4*t = -6 - 3, l + 1338 - 1332 = -3*t for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 8, 54 in descending order.\nAnswer: 54, 8, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.4, 46, -2, -99\/2, -4, -2\/11, 0.2?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d + 2379 = -34*d + 3117 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/15)\/(-703*(-56)\/10360)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 495191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27897, -111612, -251139, -446478, -697629?\nAnswer: -1004592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254389208.\nAnswer: 2, 37, 859423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/17, -2\/15, 0, 2, -1, 0.01, 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 1\/2 (c) 1 (d) -231616\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 divided by 3.\nAnswer: -70\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 555328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4016223 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 841827*a**2*i + 23388*a*i - 1 wrt a?\nAnswer: 1683654*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4108452102 to the nearest integer?\nAnswer: 64097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 21 = 9*v - 5*v + 5*l, 8*v + l - 127 = 0 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.22 + -0.18. Let j = -3 - -3.1. Which is the second biggest value? (a) j (b) x (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10348, -10363, -10378, -10393, -10408, -10423?\n\"Answer: -15*f - 10333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 123353297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 = -2*q + 31. Let h = 273 + q. Is 20 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*p**3\/17 + 3742*p**2 - 168624810*p\/17 + 56201202\/17.\nAnswer: -2*(p - 5301)**2*(3*p - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*h**5 + 146*h**3 - 11543*h**2.\nAnswer: 300*h**2 + 876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (81\/(-9) + 4)\/(5\/(-3)). Solve 2*z = d*z + 1, -2*z - 6 = y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10766*i**2*r*y + i**2*r - 2*i*r + 81*r + 1356*y wrt i.\nAnswer: 21532*i*r*y + 2*i*r - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31568343.003 + -31552187. Let u = m - 16163. Let k = -7 - u. Round k to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9950 + 60269\/6. Is l smaller than 95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18)\/((-270)\/165) - -54240 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i + 3*i - 5*i + (3 - 2 - 4)*(1 + 2*i - 1) - 17 + 17 + 20*i + (-9*i + 9*i - 18*i)*(1 + 5 - 4) to the form g*i + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.6 - 2.4. Let i = -0.17 + 1.07. Let p = i - 1. Sort -2, c, p in increasing order.\nAnswer: c, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59204.87 nanometers to micrometers.\nAnswer: 59.20487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 408924 (base 13) to base 12\nAnswer: 606663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 920?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -2290 and -1802.\nAnswer: -4092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -233 + 237. Suppose -z = 11*u + 7. Which is the smallest value? (a) 5 (b) 0.3 (c) 3 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -w - 6, 177 = -3*m + 26*w + 30 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.01118373 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 22*q**3 + 26*q - 3. Let f(c) = c**3 - 1. Let n(y) = -6*f(y) + 2*i(y). What is the second derivative of n(t) wrt t?\nAnswer: 228*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2422261 rounded to the nearest one thousand?\nAnswer: -2422000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.07642 + -0.07642. Which is the nearest to 0? (a) 5\/2 (b) s (c) 2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 7, 17, 29, 43?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.52 less than -565?\nAnswer: -589.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 2*x. Let h = -20 - -9. Let m(j) = -j**2 - 9*j - 6. Let z be m(-8). Suppose -c + z*c = -2. Let f(i) = -5*i**3 + 11*i. What is c*f(t) + h*v(t)?\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000029821689 rounded to 7 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/5543 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 8:42 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.7507158 to two dps.\nAnswer: 32.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.394431 to three decimal places.\nAnswer: 0.394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -334*b**2*h**3 + 111*b**2*h**2 - 140*b**2 + 34*b*h**3 - 4339010 wrt b?\nAnswer: -668*h**3 + 222*h**2 - 280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a tonne in kilograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.07 - 2.93. What is the biggest value in -2, -1\/7, s?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(2)*2 - sqrt(2))*-5 - (3 + sqrt(2)*1)).\nAnswer: -12*sqrt(2) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 333 and 1887.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2911*t + 1021753. Give s(351).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + 1. Suppose 0 = -5*h + 4*i + n, 4*i - 2 - 2 = 2*h. Let c(z) = -4*z - 5. Let x(w) = 3*w + 5. Let j(m) = 4*c(m) + 5*x(m). Calculate j(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 6 - 5)*(2*d - 4*d + d)*(-3 + 1 + 4).\nAnswer: 36*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -12*i**3 - 7*i**2 + 7*i + 1. Let n(z) = -12*z**3 - 6*z**2 + 6*z + 1. Give 7*n(q) - 6*w(q).\nAnswer: -12*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 56179807 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 183*t**6 + 2*t**2 - 354.\nAnswer: 21960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/15*6\/2. Let i = 18 + -11. What is the smallest common multiple of -11 + 11 + 1*c and i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, w: 7}. Give prob of sequence wy.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 0*q - 20 + 7\/2*q**2. Let d(a) = -7*a. Calculate d(j(x)).\nAnswer: -49*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1034054000 to the nearest 1000000.\nAnswer: 1034000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3169985 + -882679. Suppose -d = 2*f - 1143654, -2*d - 3*f = -0*f - p. Let n = d - 1873650. What is n rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121221111002 (base 3) to base 11\nAnswer: 208628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b - 7878 - 9402 = 0. Is 27 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + s. Let a = 5 - s. Let d(o) = 3*o - 4. What is the tens digit of d(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43100804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*((sqrt(448) + -3)*6 - (sqrt(448)*-4 + 4)))**2.\nAnswer: -126720*sqrt(7) + 1630224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*v**3 + 131 - 381 + 131*v**3 + 127 + 123.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c + 7. Let m be h(-18). Let w(j) = -15*j + 287. What are the prime factors of w(m)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.334 - 0.334. Let t = 0.1 - -0.1. Let o = 9 + -4. What is the second smallest value in t, o, k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 1830.\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 59115 a multiple of 563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by 7?\nAnswer: -19\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 i when four letters picked without replacement from iiiiiiiiriri?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 7*r**2 - 5*r - 8. Calculate w(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -6*y + 2*y. Let z be 4 - 32\/y - 2. Is z not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 110 = -116. Solve u*w + 19 = 7 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 6396466*t - 6396466*t - 110*t**2.\nAnswer: -110*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 38\/5 (b) -12 (c) -1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3416 divided by 14?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 371, 1524, 3449, 6146?\nAnswer: 9615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 15*d**4 + 2604*d**3 - 147993*d**2 + 1131270*d + 732600 = 0?\nAnswer: -220, -3\/5, 10, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 23793912 at most as big as -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/30*(-3)\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 10 + 5. Suppose m*o = o - 4. Let q be (o\/4)\/((-5)\/50). Sort q, 21, 3.\nAnswer: 3, q, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -793630*y**3 + 11225327*y.\nAnswer: -4761780*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -42c1491 - 0?\nAnswer: -42c1491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 78068.9 weeks in milliseconds?\nAnswer: 47216070720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 + (-4 - 0) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.005319 * -5098.\nAnswer: -27.116262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/63 and 139\/42?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-5) + 28\/(-70) + 63022 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -1.5115 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 14 - 2. Calculate the smallest common multiple of 16 and u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (57 + -42 + -41 + 31)*(-2)\/(-115)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16267 is divided by 543.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4\/3 - 4*p**3\/3 + 8*p**2\/3 + 16*p\/3.\nAnswer: -2*p*(p - 2)*(p + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13104913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.8571 millilitres in litres?\nAnswer: 0.0188571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -989 + -1?\nAnswer: -98a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 j when three letters picked without replacement from fhjjjya?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 3*f**5\/5 + 51*f**4\/5 + 54*f**3 + 78*f**2 - 273*f\/5 - 441\/5 = 0.\nAnswer: -7, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15912713?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 324268, 324269, 324270, 324271?\nAnswer: 324272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -193022074 and -0.2.\nAnswer: 38604414.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/19, -0.1, -0.3, -0.8, 9385?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -223*l + 1567. Let s be i(7). Solve -4*t - s*q - 44 = 0, -8*t + 6*t + 2 = -3*q for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7570093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of q**5\/60 - q**4\/24 - 5*q**3 + 9*q**2. Let j be c(6). Suppose -2*h - 2*h + 36 = j. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*a**5\/3 + 160*a**4\/3 + 335*a**3\/3 + 260*a**2\/3 + 20*a = 0. Calculate a.\nAnswer: -3, -2, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 14*a - 11. Let s(w) = -3*w**2 + 2*w + 3. Let g be s(-2). Calculate the lowest common multiple of q(g) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 2:19 AM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -923*b + 54. Let t(p) = p. Let c(z) = -m(z) + 2*t(z). Is c(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 18588704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1380 + 2495. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -699 (b) 67.8 (c) -0.1 (d) -5\/4 (e) 0.1 (f) -1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 2*c - 26, -s - 3*c = 4*s - 30. Suppose 3*o = 4*o - s. Let a = o + 68. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 640 and 192.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(2\/9)*z))**(-9)\/(z*z**(-3)*z*z)**(-22) assuming z is positive.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 151 - 357 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxr when three letters picked without replacement from rruuxrrkex.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -76 - -72. Let s be (-4)\/(-6)*(g\/(-3))\/(-2). Let m = 0.4 + -0.3. What is the closest to -1 in m, s, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (27\/(-36))\/((-2)\/48). Let f = -22 + 25. Suppose 2*u + f*u = 630. What is the highest common factor of x and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(2\/17))\/(u\/(u*u\/u**(2\/25))*u*u))**(-6\/17)*u*u**(-6)\/u*u*u**4*u**(-3\/4)\/u**4 assuming u is positive.\nAnswer: u**(-164159\/28900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 3*j**4\/4 + 10725*j**3\/4 + 12195867*j**2\/4 + 4469697279*j\/4 - 4494131937\/2 = 0.\nAnswer: -1699, -939, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -b55123?\nAnswer: -b55124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -19361 minus 144319545?\nAnswer: -144338906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7090997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 247017?\nAnswer: 247016.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*z**2 + 7*z**2 - 9*z**3 + (-2*z + 2*z - 4*z + 4*z + 2*z - 4*z + (3 - 1 - 4)*(1 - 1 + 2*z))*(2*z**2 + 7*z**2 - z**2).\nAnswer: -57*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61 + 57. Sort 5, k, -5, -8.\nAnswer: -8, -5, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = 14*u + 30 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-2 - (-8 - 9))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nmmnwmwmwxbf. What is prob of picking 1 x, 1 b, and 2 n?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*w + 837, 0 = -6*w + 8*w - 4*t - 542. Let d(o) = o**3 + 12*o**2 - o + 8. What is the remainder when w is divided by d(-12)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 - 2)*(8*s**3 - 254*s**2 + 254*s**2)*(-2 - 1 + 0 + (-181 + 132 + 168)*(-2 - 2 + 5)) to k*s**2 + j*s**3 + v*s + q and give j.\nAnswer: 928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24*(-26)\/(-39)*9\/(-24).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.373 - -6.4. Let r = 0.527 - m. Which is the nearest to 0.1? (a) -3\/7 (b) r (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14644\/16993 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8901 - -15641. What is the tens digit of (u\/80)\/((-3)\/(-24))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192379.\nAnswer: 11, 17489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 948*d**3 - 264*d**3 + 16.\nAnswer: 684*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -5\/4*c**4 - 19\/6*c**3 + 10*c**2 - 14*c - 1\/20*c**5 + 0. What are the prime factors of a(-14)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33065821 divided by 2.\nAnswer: 33065821\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47071*h**4*v + h**3 + h**2*v + 4*h**2 + 2*h*v - 78*h - 472 wrt h.\nAnswer: 564852*h**2*v + 6*h + 2*v + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7449 <= 7430?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 15131649, -5 in decreasing order.\nAnswer: 15131649, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 50\/18 + (-8)\/(-36). Find the first derivative of -m**2 + 9*m**h - 77 + 89 + m**2 wrt m.\nAnswer: 27*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 582538 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of r**3 - r**2\/2 - 9*r. Suppose -h + 5*k - 25 = 4*h, -3*k = -5*h - 17. Give x(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.11 - -2.89. Let d = 3 - x. What is the second biggest value in -1, -4, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5\/(160\/968) - 1\/4 is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -781*a + 121989. Calculate x(156).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*i - 8*i. Suppose -2*c - 35 = -5*f, 3*f + i*c + 4*c = -5. Solve -4*j - 12 = -f*p, -p + 10 = 4*p - 5*j for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1023 (base 4) in base 8?\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 9:43 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4978 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(3168) - sqrt(3168))\/(sqrt(72)*-3).\nAnswer: 8*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -8*i**3 - 196*i**2 - 188*i + 4. Let s(m) = 7*m**3 + 194*m**2 + 187*m - 3. Let v(c) = -3*l(c) - 4*s(c). Suppose v(j) = 0. Calculate j.\nAnswer: -46, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + -8 + -14 - 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-26) + (-1517)\/(-1353)*11*9\/(-39)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000775294513 rounded to 6 decimal places?\nAnswer: -0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1397 - -2456350.4412.\nAnswer: 2454953.4412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -182*t**5\/9 + 51326*t**4\/9 + 206734*t**3\/9 + 257618*t**2\/9 + 101248*t\/9 - 1144\/9 = 0. Calculate t.\nAnswer: -2, -1, 1\/91, 286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, r: 3, t: 3, w: 4, b: 2, a: 2}. What is prob of picking 2 w?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*o**3 + 117*o**2 + 519*o + 99.\nAnswer: -3*(o - 11)*(o + 3)*(5*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 188*n**3 + 554938*n**2 + 103874868 wrt n?\nAnswer: 564*n**2 + 1109876*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -76, -219, -426, -697?\nAnswer: -1032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 3 + 4*o + 6 + (0*o - 6*o + 4*o)*(2 + 3 - 6) + 3*o - 4*o + 0*o + o + 0*o - 3*o.\nAnswer: 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 6*c**3 - c**2 + 4. Let q(u) = -u**2 - u + 1. Let w(j) = -f(j) + 2*q(j). Let n be w(-1). Factor 4*s - 9*s - 4*s**3 + 9*s**3 - n + 5*s**2.\nAnswer: 5*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151473399, -302946795, -454420191, -605893587, -757366983?\nAnswer: -908840379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 2*p - 2. Let r = -48 - -51. Let z be c(r). Suppose -8 = -4*l, -5 = 2*u + l - z. Solve g + u*f = -g + 22, -4*g - 4*f + 36 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -193029389 divided by 7\nAnswer: -27575627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122 + -23210011111?\nAnswer: -23210011233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -j - j + 72, 0 = f - 4. Let a = -24 + j. Solve -a*o + 4*b = -4, -4*o + 3*b - 1 = 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a meter in centimeters?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*c + 64 = 206*c - 291 - 921 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 855350989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.195 + -20.889433455.\nAnswer: -20.694433455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kka when three letters picked without replacement from {k: 2, a: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1329*y - 65020 = 5662*y + 1196*y - 4201 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 324*k**2 - 111*k + 1347. What is the thousands digit of o(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((-4 + sqrt(11) + sqrt(55)\/sqrt(5) + sqrt(11))*3)**2 - (-1 + sqrt(396) + 1*sqrt(704)))*-1.\nAnswer: -920*sqrt(11) + 4144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 5\/58, 0.32, 11, -4?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -1, 76, 1, -58 in increasing order.\nAnswer: -58, -3, -1, 1, 2, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14192 to the power of 1\/2, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 - 5*j + 4. Let c be m(3). Suppose 2*r + 3*o - 6 = -o, 10 = 5*o. Let f be (r\/2)\/((-5)\/(-20)). Put 2, c, f in increasing order.\nAnswer: f, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 781584*8.\nAnswer: 6252672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 9) to base 14.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 + 36*v + 80.\nAnswer: 4*(v + 4)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - q + 6 = 21, 5*n - 10 = 4*q for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/2))**(-6\/7)\/(p**(2\/5)\/p**(-8)))**(-1\/2) assuming p is positive.\nAnswer: p**(309\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -440 (b) -1\/4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + b = -4*c + 16, -c = 2*b - 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 65157480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9051 is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31 and 527?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 5925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 1, -697, 5.\nAnswer: -697, -5, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - h + 5 = 0, -5*z + 343 = 2*h + 329 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*sqrt(931))**2.\nAnswer: -11172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/2*(-3 + -2). Suppose -t*j - 16 = -6*j. Is j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/(y\/(y**15*y)))\/y*y)**(-31)*(y*y*y**(-33)*y)\/y*y**(3\/38)*y)**41 assuming y is positive.\nAnswer: y**(-867683\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 42223 - 42218 = 7*l, 2*l - 6 = -2*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -3*s - 4, 0 = -c + 41 - 45. Solve 0*o - 17 = 2*o - 5*q, s*q - 12 = 2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -20*o - 2 + 0*o**2 + 6*o - o**2. Let j be k(-14). Let t(f) = -f**2 - 10*f - 11. Let y be t(-9). Is y smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 812, 1312, 1828, 2360, 2908, 3472?\n\"Answer: 8*j**2 + 476*j + 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 235584009 and 235584008 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1111001101000000010111 (base 2) to base 15\nAnswer: -53ad06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 16 = -4. Let f be (-10)\/((-5 - y)\/(-2)). Let h be ((-4)\/(-15))\/(f\/(-15)). What is the closest to 2 in h, -5, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 56 + -130?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -11.33+-0.5\nAnswer: -11.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -0.0459014?\nAnswer: -0.01377042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91 and 2093.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 = -47*d + 43*d + 3*v, -128 = -2*d + 2*v. Solve 0 = 3*y + 7*y + d for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-1)*(-10)\/8. Let n be 13 + (-4 - -1) - (3 + 1). What is the biggest value in q, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 17 - 7*q**2)*(1 + 60*q**3 + 2*q**2 + 50*q**3 - 124*q**3) - 3*q**5 + 4*q**5 - 3*q**5.\nAnswer: 96*q**5 - 14*q**4 - 7*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**8\/960 - j**7\/210 - 11*j**6\/1440 - j**5\/240 - 5*j**3\/3 + 13*j**2. Let p(h) be the first derivative of z(h). Factor p(i).\nAnswer: -i*(i + 1)**2*(7*i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3*1)\/((-1974)\/188) - (-570)\/(-35)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of 5*n**4\/12 + 115*n**3\/6 + 255*n**2 - 594*n. Determine r, given that q(r) = 0.\nAnswer: -17, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24 + -6)\/6 - 117\/(-1). Let f be ((-84)\/p)\/((-6)\/16). Factor -1\/2*h**f + 1\/2*h + 1\/8*h**4 + 0 - 1\/8*h**3.\nAnswer: h*(h - 2)*(h - 1)*(h + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166, -169, -172, -175, -178?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 (base 9) in base 8?\nAnswer: -161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -675497 (base 16) to base 6.\nAnswer: -401051115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/5 - 2*t**2 + 137*t\/5 - 126\/5.\nAnswer: -(t - 7)*(t - 1)*(t + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1112111221 (base 3) to base 12\nAnswer: -15621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 86 = 7*p, -7*h + 32 = -p + 159 - 33 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 263 + ae27?\nAnswer: b08a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5\/(-15)*21 - 21126*32\/(-24)?\nAnswer: 3, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 40\/(-50)*(-5)\/2. Let u(m) = -9 + 7*m**3 - 6*m**w + 3*m - 4*m**3 + 4 - 4*m**3. Calculate u(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -11 - 2 + 16 - 9 - 1065*y + 2. Let m(u) = -u**2. What is o(m(f))?\nAnswer: 1065*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6480*p**3*q**2 + 2*p**3 + 2*p**2 + 2*p*q**2 - 5*p - 2*q**2 - q wrt q?\nAnswer: -12960*p**3 + 4*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.42? (a) -3 (b) 0.09 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 2*t + 4*l + 17, 5*t = l - 1. Let x be (-96)\/(-192) + ((-123)\/48 - -2). Are x and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1532 (base 8) to base 12\nAnswer: 5b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 126*z**2. Let u be h(1). Suppose -5*w + u = 26. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2565 and 9.\nAnswer: 2565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13, -61, -193, -451, -877, -1513, -2401, -3583?\n\"Answer: -7*t**3 + t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/132 and 33\/16?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 38087449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 4*z - 65 = 5*w, -5*w + 15 = 5*z. Suppose 2*m = v + v + z, 3*m = 5*v + 12. Solve h - 5*j - 8 = 0, 5*h + 5*j - 10 + v = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 311739\/1352 + 642\/169. Is y equal to 233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(12\/(-1064)) - (-6)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*1\/4*(-6)\/12.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -18*k**2. Let p(u) be the second derivative of -u**4\/6 + 2*u. Determine t(p(y)).\nAnswer: -72*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 5*z - 2*z - 2, 0 = 4*z - q - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32 - 5) + -6 - -34.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t. Let m = 7 + -3. Let b be m\/(-6)*(-7 - -4). Let a(z) = 4*z**b - 7*z + 7*z. Calculate u(a(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24.1 - 13. Let v = 11.233 - c. Round v to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9552 = -239*c - 888*c - 39981 for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -127*i**2 - 2*i + 136. Suppose 17 = -41*b + 58. Let d(q) = -2*q + 2. Let j(l) = b*v(l) - d(l). Differentiate j(t) with respect to t.\nAnswer: -254*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -140 (base 9) to base 3\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.33 + 0.67. Which is the fourth smallest value? (a) w (b) -1\/8 (c) -1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 + 213*f - 3637. Give o(15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eighty-one quarters of a gram?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -73? (a) 10 (b) -44 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + (-42)\/(-12))\/(1\/28). Which is smaller: c or 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 + 0*b + 0*b + (-1 + 1 + b)*(-2*b + 0 + 0) - 675*b**2 + 1454*b**2 - 703*b**2 - 30*b + 30*b + 2*b**2 to f*b + q + c*b**2 and give c.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of v**5\/20 + v**4\/3 - v**3 - 2*v**2 - 3*v. Let w be h(-5). Suppose 4 = 3*j + 2*x, 5*j + x - 4 - 5 = 0. Solve j = c - w for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -329 + 152. Let i = x + 210. What is the highest common factor of 297 and i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**3 + 2*a**2 - 3*a + 3. Let z(n) = 5*n**3 + 3*n**2 - 5*n + 5. Let b(i) = 8*p(i) - 5*z(i). Factor b(l).\nAnswer: -(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**2 + 168*x - 1764 = 0 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjzggjggggzm. Give prob of picking 1 j, 1 m, and 1 z.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-2))\/(1\/1). Let i(c) = c**3 + c**2 - 6*c + 2. Is 12 a factor of i(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 e when two letters picked without replacement from {m: 6, e: 3, k: 5, u: 1}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence og when two letters picked without replacement from {u: 4, g: 1, p: 4, e: 1, x: 1, o: 3}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 31249355589672 minus 2.1?\nAnswer: 31249355589669.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(187) - 4*sqrt(187)*-2 - (sqrt(187)*1*3 - sqrt(187)))\/(sqrt(33)\/(sqrt(192) - (sqrt(192) + (-4*sqrt(192) - sqrt(192)) + sqrt(192)))) + 0)*6)**2.\nAnswer: 30707712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*y + 6*y**2 + 12*y + (6*y - 3*y - 4*y)*(7 + 4*y - 7) in the form r + x*y + d*y**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (182\/7 - 25)\/(2\/1). Factor -7\/2 - 4*c - a*c**2.\nAnswer: -(c + 1)*(c + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**6\/120 - f**5\/60 + f**4\/24 + 37*f**3\/2 + 3*f**2 + 4*f. Let l be (-4)\/(-2) - 0 - 2. Is s(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 v when three letters picked without replacement from {i: 2, s: 1, v: 1, f: 2, a: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 - -63. Let h(o) = o**3 - 9*o**2 + 8*o - 7. Let q be h(7). What is the smallest common multiple of (q\/28)\/(2\/(-16)) and z?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 224087544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3810 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 - 220*x - 456.\nAnswer: 4*(x - 57)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 4:39 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4623 divided by 1541\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**5\/r**(-6)*(r*r**(-1\/4)*r)\/((r**(-2\/3)\/r)\/r*r))\/(r**(-1\/8)\/(r**(-3)*r))**4 assuming r is positive.\nAnswer: r**(83\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -g + 8, 48*s - 52*s + 2*g + 4 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (186\/620)\/((-9)\/6). What is the nearest to 1 in -1, 2\/9, o?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 49d4a3b + -8?\nAnswer: 49d4a33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*m + 31*m + 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 1. Let f(q) = 2*q**3 - 6*q**2 - 4. Let n be ((-1)\/(-2))\/(7\/(-84)). Let j(p) = n*m(p) - f(p). What is the first derivative of j(x) wrt x?\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 29, -4, 3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 12 = 3*l - 13, -176*j - 178*j + 354*j + 5*l = 55 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24 + 79 + 13*y**3 - 29*y**3 + 347*y + 15*y**3 + 88 wrt y?\nAnswer: -3*y**2 + 347","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 95*d - 598. Determine z(5).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 699*j + 10 = 694*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124, 244, 362, 478?\nAnswer: 592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/25)\/((-576)\/(-270) - (-2 - -4)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -12, -5, -9, 1\/3, -10.9, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 11, 0.116, -0.0105, 1\/4, 6?\nAnswer: -0.0105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -54034*g + 54038*g + 118, -6 = 3*t for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (13 - -7) + -14 + 7\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1397 - -1462. Suppose -b + 1030 = 3*b + 2*o, 5*o = 25. Suppose -2*g = u - b. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5*d - 32490 = 0, -8*d - 32498 = -5*w - 5*d. What is the first derivative of -12*g - 2*g - 6434 + w wrt g?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14395205?\nAnswer: 5, 11, 227, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 73063357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from {o: 2, s: 7}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 12*h + 56. Calculate y(-15).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104, -207, -310, -413, -516, -619?\nAnswer: -722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 7656*d + 2457280.\nAnswer: -4*(d - 280)*(d + 2194)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1000157.85699915 - -1000126.857. Let w = -31 - d. Round w to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184535*i**3 - 184552*i**3 + 369084*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 65*s**3 + 11*s**2 + 11*s - 6. Let z(a) = -13*a**3 - 2*a**2 - 2*a + 1. Let d(t) = -2*i(t) - 11*z(t). List the prime factors of d(2).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -11 + (5 + -8 - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/5))**(-7\/3)\/(f**0)**(-21))**(2\/19) assuming f is positive.\nAnswer: f**(14\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -0*v + t - 11, -v - 4*t = -16. Solve v*m + 5 + 15 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of q**2 + 35*q - 65*q + 16 + 30*q. Let d(v) = -4*v**2. Give d(c(b)).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18882 and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -g**7\/70 - 57*g**6\/40 - 11*g**5\/2 + 4688*g**2. Determine k so that o(k) = 0.\nAnswer: -55, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*-39641.\nAnswer: -396.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -19*t**4\/6 - 7*t**3\/6 - 2*t**2. Let n = -362 - -353. Is y(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21849607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**3 - 213696*m**2 - 5708461242*m - 11416067716 = 0. What is m?\nAnswer: -53423, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, z: 3, w: 6, q: 1, i: 5}. Give prob of picking 1 z, 1 i, and 2 f.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + 2*a - 2, 90*a = 3*d + 87*a + 12 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((340\/20)\/255*9)\/(-1*(-54)\/(-40)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 84, 149, 178, 153, 56, -131?\n\"Answer: -3*x**3 + 86*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -689 - -692.99. Let i = u + 0.01. Let x = -1.7 - -1.8. Which is the third smallest value? (a) x (b) 2\/5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137316246631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.7220619 meters?\nAnswer: 72.20619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1791, -1815, -1839?\nAnswer: -1863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6403*s**2 - 6*s**3 - 21368*s**2 + 14965*s**2.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 + 39.059. Let b = 22.941 + s. Let k = -24 + b. Put k, 9, -3 in decreasing order.\nAnswer: 9, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) - (sqrt(891) - (sqrt(891) - sqrt(891)*6))**2*-6 - sqrt(891))*-1 + (sqrt(88)\/(sqrt(968)*5))**2 + -3.\nAnswer: -52926224\/275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**2 - 40*k + 33. Let l be i(-23). Let g be (-60)\/l + 34\/14 + -1. Sort -12, 5\/4, g in decreasing order.\nAnswer: g, 5\/4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*k - 11. Let f(t) be the second derivative of -3*t**4\/4 + t**3\/2 + t**2 - t. Let z be f(k). Round z to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 1019916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 - 1106*o + 401*o + 705*o.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -36*f**3 + f**2 - 43*f + 8545. Let p(c) = -18*c**3 - 21*c + 4277. Let s(w) = 2*k(w) - 5*p(w). Differentiate s(u) wrt u.\nAnswer: 54*u**2 + 4*u + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1038bc7 (base 13) in base 16?\nAnswer: 4b41fa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3*p + (1 + 0 + 3)*(2*p - 1 + 1))*(-5*p + 4*p + 3*p).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/8)\/((-81)\/(-54)). Let f be (2 - (-65)\/(-39))\/(7\/9). Which is the second biggest value? (a) s (b) -5\/9 (c) -2 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/12)\/(1\/24). Let t be -4 - n\/(-28) - -4. Which is the nearest to -9\/4? (a) -3\/2 (b) t (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 10:53 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from {g: 18, n: 2}.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d*m**2*s + d*m*s - 2*d - 2*m**4 - 12*m**3 + 3*m**2*s - 157*m*s wrt m.\nAnswer: -2*d*s - 24*m**2 - 72*m + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**2*(s\/s**(-2\/9))\/s*s)**(12\/19)\/((s**8*s)\/s**(-4\/3)*(s**(-1))**(10\/11)) assuming s is positive.\nAnswer: s**(-4633\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 10*b**2 + 11. Let l be w(-10). Let o be 8\/(-1)*(0 - 1). Let a = l - o. Solve a*i - 6 = 3*c + 12, 0 = -3*i + 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7941693*p**2 - 4414617*p.\nAnswer: -15883386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 62 = -f, 15*l - 5*f = 16*l - 28. Sort -9, l, -5 in ascending order.\nAnswer: -9, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, g: 5, p: 7}. Give prob of sequence ggmg.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/8, -24, 0.1264, -2, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/(-15)*6)\/(-2). Let r = -0.4 - -0.2. Sort 0, r, g in descending order.\nAnswer: g, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttnnbttn. Give prob of picking 1 n and 1 t.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/287 or 1?\nAnswer: 2\/287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 0 + 64*u**2 + 0*u**3 + 0*u + 1\/6*u**4 + 1\/60*u**5. Determine b, given that v(b) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbb. What is prob of picking 3 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.37 + -3.63. What is the closest to -1 in -3, k, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1736, 1830, 1988, 2210, 2496?\n\"Answer: 32*h**2 - 2*h + 1706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-60)\/(-9) + (-6)\/(-9)*-1. Solve -3*h - j = 9 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.9343 * 0.58.\nAnswer: -1.121894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 155 - 99. Suppose 3*u + w = 152. Let j(y) = y**3 - 9*y**2 + 4. Let n be j(9). What is the highest common factor of u and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnonnnononnonno. Give prob of picking 1 n and 2 o.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 33 - 9. Suppose -r = -y + 2. Suppose -59 = -4*s - 11. What is the least common multiple of s and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 200?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8808805 and 63240.\nAnswer: 2635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/2 - (-108)\/8. Suppose 13 = -i*q + 52. Let o = 164 + q. Calculate the remainder when o is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -4, -0.007, -1\/2, -0.4.\nAnswer: -38, -4, -1\/2, -0.4, -0.007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93*210.\nAnswer: 19530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51837276 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/5*(-150 - (-158625)\/1080)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5644*c + 370 - 370 + 605*c.\nAnswer: 6249*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 3:58 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 + 17 - 49)*(-19 + 19 - 3*i**3) in the form m*i**2 + d + v*i + k*i**3 and give k.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hthh when four letters picked without replacement from {t: 4, h: 7}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 123\/14 + -51\/7. Let f(u) = 5*u**3 - 2*u + 1. Let p be f(1). Let v be 17\/(-36) - p\/(-18). What is the nearest to t in 1\/3, -4, v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t - 2. Let q be o(2). Let y = 252 + -256. What is the tens digit of (-92)\/(q + 24\/y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-156)\/91 + (-108)\/(-14)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d0 (base 16) to base 8.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 - -68. Let v be 2\/(-4)*(-5)\/f. Factor -1\/2*n**2 + v*n + 0.\nAnswer: -n*(2*n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of 0*y + 0*y**3 + 0 + 0*y**5 - 37\/24*y**4 - 29*y**2 - 3\/20*y**6. Find the second derivative of q(h) wrt h.\nAnswer: -108*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, -2, -0.7, 0.8, 2\/7, 15 in descending order.\nAnswer: 15, 0.8, 2\/7, -4\/9, -0.7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 16, -2753, -0.1, 2, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9079 (base 11) in base 3?\nAnswer: -121112212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 20454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 312*h - 9 + 2*h**2 - 312*h + h**2 - 4*h**2.\nAnswer: -h**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.027 in 2, 0.19, -0.5?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 64104819 to the power of 1\/2, to the nearest integer?\nAnswer: 8007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**4\/12 - 7*t**3\/6 + 3*t. What is the remainder when 35 is divided by q(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -77? (a) 0.7 (b) 2 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -79\/406 - -3\/58. Which is the smallest value? (a) -4 (b) s (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -8*c - 6. Determine h(2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.29, -4, 9, 2, -3\/100 in descending order.\nAnswer: 9, 2, -3\/100, -0.29, -4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is 5007.362l in millilitres?\nAnswer: 5007362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-10))\/(28*(-4)\/80)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7.43368 microseconds?\nAnswer: 0.00000743368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) 10\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*-1*sqrt(162))**2 + 0.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 17520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 965 - 201 = 4*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 3*f**2 - 1. Let g be 2 + (1 - 0\/(-1)). Let r(j) = 6*j**3 - 14*j**2 + 4. Let o(d) = g*r(d) + 14*s(d). Differentiate o(i) with respect to i.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -135479045, -270958090, -406437135?\n\"Answer: -135479045*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 82?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 684 and 18892908.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 9:40 PM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1136 + 2278 - 1142 - 65*g + 66*g - 6*g**2.\nAnswer: -6*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**2 + 4*w**2 - 5*w**2 + (-w - 1 + 1)*(3*w - 4*w + 0*w) - 6*w**2 + w**2 + 2*w**2 + (-w**2 + w - w)*(-2 - 1 + 5).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -b - 0*v + 5, b - 5*v - 17 = 0. Let u = -11 + 10. Is b - ((-89 - 2) + u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**2 + 0*b**2 + b**2 + (1 - 2*b - 1)*(2*b - b - 2*b) + (-209*b - 328*b - 122*b)*(-6 - 1 + 14*b - 12*b).\nAnswer: -1315*b**2 + 4613*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 4*b = -4*n - 28, b = 4*n + 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of g**5\/60 - 3*g**2\/2 + 3*g. Let b(q) be the first derivative of n(q). Let w(f) = 4*f**2. Calculate b(w(x)).\nAnswer: 16*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -15. Suppose 7 = -3*s - j*t, -4*t - 4 = -3*t. Suppose 5*l - 363 = 3*n + 368, s*l - 5*n - 445 = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - y + y)*(5*y**3 - 2*y**3 - 6*y**3)*(-3*y + 3*y - 3*y).\nAnswer: -9*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, -1, 3\/5, 32, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n. Let s(q) = 811 - 811 + 20*q. Calculate m(s(l)).\nAnswer: -20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60*b**3 - 57*b**3 + 18*b**3)*((2*b + 2*b - b)*(4 - 4 + 1) - 3*b + 4*b + b + 3 - 3 - 2*b).\nAnswer: -297*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20002 + 10?\nAnswer: 20012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1848, 4675, 9698, 18015, 30724, 48923, 73710, 106183?\nAnswer: 147440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 6*t + 13. Let w = t - -12. Does 7 divide (14 + 10)*(w - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + -13. Let z(j) = j**3 - 13*j**2 - 11*j - 12. What is the remainder when 117 is divided by z(u)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.4 + 4. Let s = 15 + -14.5. Sort s, 1\/3, l in decreasing order.\nAnswer: s, 1\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1224483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -11, 2\/13, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6778028*q**4 + 2892388*q wrt q.\nAnswer: -81336336*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of r**2\/2 + 1. Let a(q) = 5*q. What is a(j(t))?\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2880752 * -0.2\nAnswer: 576150.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51 and 7033512.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 0.8 (c) 0.046 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57 (base 8) to base 4.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 15*b - 20. Determine d, given that 4\/7*d + 6\/7*d**2 + 0 + 2\/7*d**b = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26533187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2763\/7 - (-2)\/7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 23 = 9. Suppose -64 + 20 = -2*g. What is the remainder when g is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27878718 divided by 1.\nAnswer: -27878718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((3 + (sqrt(1088) - (2 + sqrt(1088))*5) - (sqrt(1088)*-2 + sqrt(1088) + 2 + -4*-1*sqrt(1088)))*1)**2 + 3.\nAnswer: 4032*sqrt(17) + 213575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -11. Let a(g) = -g**3 - 17*g**2 - 18*g - 28. Let k be a(-16). Let s = z + k. Calculate the remainder when 33 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 7*l**2 - 4*l - 9. Let o be h(6). Suppose -24 = -o*s + 4*i + 575, i + 2 = 0. List the prime factors of s.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12331111013 (base 4) to base 3\nAnswer: 10102200011012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/44*26*1?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 10*x**2 + 9*x + 1. Let p = -16 - -7. Let d be a(p). Suppose d = 5*u - 9. Solve 3*m - u*m = -3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147 = -61*i + 12*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/2 + 8259*w**2\/2 - 361655*w\/2 + 1601925\/2.\nAnswer: -(w - 8215)*(w - 39)*(w - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -5*d - 25, -8*d + 7*d = 5*w + 17 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 6:39 PM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/27 and -61\/33.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**2*t)**(1\/26)*(t**(-1\/3))**(-10\/13)*((t**(1\/4)*t*t*t*t)**(-1\/8))**(-16) assuming t is positive.\nAnswer: t**(683\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 302*r - 302*r + r**3 - 1098 + 1098.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70791, -141505, -212111, -282555, -352783?\nAnswer: -422741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 2 = -4*g - x, -4 = -g + 4*x for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -165*r**8\/112 + 245*r**4\/12 - 361*r**2. What is the second derivative of i(j) wrt j?\nAnswer: -9900*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 15. Let z = 4 + m. Let y = -1.08 - -0.08. Which is smaller: y or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1504848086.\nAnswer: 2, 7, 101, 347, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8992, -10086, -11178, -12268, -13356, -14442?\n\"Answer: q**2 - 1097*q - 7896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 14*g**2 - 22*g - 25. Let b be j(12). Is b equal to 0.54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o**2 - 3*o**2 + 3*o**2)*(0 + 2 + 0) + 16*o**2 - 11*o**2 + 3*o**2 - 14*o - 24*o**2 - 17*o**2 + 42*o**2 as k*o + a*o**2 + y and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: d (base 15) to base 3\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*f + 116552 = -52738. Does 30 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1 + 5\/2*w + 1\/2*w**3 + 2*w**2 = 0. Calculate w.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 38 + 30. Let c(f) = -12*f - 7. What is the remainder when c(t) is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(2\/21))\/g**(-9))\/(g**(3\/2)*g)**(5\/4) assuming g is positive.\nAnswer: g**(1339\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z - 9*z**2 + 10*z**2 + 1 - 5*z. What is the smallest common multiple of 10 and p(3)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 3*j - 6, 0 = -j - 4. Let 2 + 10*y - 3*y**u + 7*y**2 + 9*y**3 + 7*y**2 = 0. Calculate y.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 2*s - 76, -5*q + 96 = s + 2*s. What is the remainder when 34 is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2023411 (base 5) to base 7.\nAnswer: 165104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0.14, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/((o*o**(2\/11))\/o*o)*o**(1\/9)*(o\/((o\/(o\/(o\/(((o\/o**(-2\/19))\/o)\/o))*o))\/o))\/o**(-5)*(o**(-1\/3)*o*o)**(-3\/38)\/(o**(-6)\/(o\/o**5)) assuming o is positive.\nAnswer: o**(29731\/3762)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w + 26. Let h be z(6). Let b = -34 + h. Which is smaller: b or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 - 58. Let m(g) = -g**3 - 7*g**2 - 9*g - 8. Let l be m(o). Is (12\/l)\/(6\/555) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 664903 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cppc when four letters picked without replacement from {p: 15, c: 5}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 30 - 24)*(-s - 3*s + 2*s).\nAnswer: 64*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**4\/11 + 278*o**3\/11 - 5782*o**2\/11 - 80942*o\/11 - 183120\/11 = 0. What is o?\nAnswer: -7, -3, 40, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2\/75 of a hour?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 10:51 AM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 0.3 (c) -243 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(288) - sqrt(288))**2 + 5 - ((5 + (3 + sqrt(288) - sqrt(288) - sqrt(288)) + sqrt(288))**2 + sqrt(288)).\nAnswer: -43 - 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -708, -2\/3, -2 in increasing order.\nAnswer: -708, -2, -2\/3, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -574 times 0.2\nAnswer: -114.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94079301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -7*l - 2. Is 13 a factor of b(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1682271312 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**2*c**2 + 28329030*a**2*c + 4*a*c**2 + 7139*a*c + 21*a + 2*c**2 - c - 1 wrt a?\nAnswer: -2*c**2 + 56658060*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 3. Suppose -g*n + 58 = -32. Suppose 3*s + c + 2 = n, 0 = -5*s + 3*c + 50. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 2*q + 5*p, 264 = -4*q + 8*q - 2*p. Let b be 1\/3 + q\/(-15). Let h(n) = -n**2 - 5*n - 5. Let x be h(b). Which is smaller: -3\/10 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 42*d + 292. What is the hundreds digit of s(-57)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 864*n**3 + 22*n**2 - 93*n + 4. Is s(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**4\/12 + j**3 + 3*j**2\/2 + j. Let n(q) = -2*q**3 - 28*q**2 + 3*q + 45. Let l be n(-14). Is w(l) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hjj when three letters picked without replacement from {f: 4, n: 2, h: 1, u: 1, x: 2, j: 4}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a factor of 566626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2))**21\/(g*g\/((g\/g**16)\/g)*g*g\/(g\/g**8)) assuming g is positive.\nAnswer: g**(-69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 246 = -2*q, 0*q + 162 = 3*b - 3*q. Let x = 109 - b. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 940 at least 997?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + 8. Let o = -14 + 39. Calculate the greatest common divisor of o and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 1 = 5*a - 21, a - 18 = 4*d. Suppose -5*s = -a*m + 104, -2*m + 118 - 2 = -2*s. List the prime factors of m.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from isiivsiesi. What is prob of sequence ies?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**6\/6 - 2*r**5\/5 + 46*r**4 + 163*r**3\/3 + 6*r**2 + 7486. What is the third derivative of p(q) wrt q?\nAnswer: -60*q**2 - 48*q + 1104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 623.7894cm to micrometers.\nAnswer: 6237894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24162613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-8*16\/(-2496))\/(1060\/318)\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**3\/2 - 7299*t**2\/2 - 736695*t\/2 - 18719397\/2 = 0.\nAnswer: -7197, -51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29270360*m**5 - 35941764*m**2.\nAnswer: -1756221600*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -152 - -178. Solve 2*l = s - 20 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13109756 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - n**2 + 19*n - 18. Determine f(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -75, -71, -65, -57?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -154.2 times 132.12?\nAnswer: -20372.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -5, 2, 326.\nAnswer: -5, -3\/2, 2, 326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9168221 to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 2*q**3 - 15*q**2\/2 - 111. What is the units digit of f(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -372*x + 371*x - 2*l - 11, -2*l + 1 = -3*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*b - 4, -5*b - 14 = -4*g - 20. Let o(t) = -t**3 - 2*t**2 + 4*t + 3. What is o(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 2\/5, -1\/5, -3, 0.74526, 29?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 11*s + 12. Let w be n(-10). Let i(g) = -6 - 4*g - g - g - w*g**2. Let u(b) = 2*b**2 + 5*b + 5. Determine 5*i(k) + 6*u(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001192777 rounded to 5 dps?\nAnswer: -0.00119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -11*v**4\/24 - 41*v**3\/6 - 32*v**2. Let x be l(-4). Solve -3*u + n = x*n + 4, -2*n - 10 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35351.\nAnswer: 23, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 = -0*z + 4*z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -33036, -65804, -98308, -130554, -162548, -194296?\n\"Answer: -g**3 + 138*g**2 - 33175*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 23368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -695 - -702.16. Let k = a - 4.16. Sort 2, k, 2\/127 in ascending order.\nAnswer: 2\/127, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 7*z. Suppose z = -5*n + 15, 20 = 4*i - 2*n + 6*n. Suppose -3 = -i*p + 17. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -15, 5*c + 1241 - 1236 = -5*r for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 4*m**2 + 4*m + 7803. What are the prime factors of z(0)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 n when four letters picked without replacement from knpfkltknnlnnntnpnlk?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -32*a - 591. What is the remainder when 126 is divided by z(-21)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 14*t + 2. Let s be 3 - (8 + -8 + 4). Determine b(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 873 divide 18926640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3382173.\nAnswer: 3, 23, 16339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 8*r**5 - 5*r. Suppose 12*x + 47 + 1 = 0. Let g(p) = -9*p**5 - p**2 + 5*p. Let q(h) = x*g(h) - 6*a(h). What is the third derivative of q(b) wrt b?\nAnswer: -720*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -301 + 2713\/9. Let f = 66 - 66. Which is the biggest value? (a) f (b) -1\/5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 186\/(-1116)*(-24)\/(-9).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*a**2 - 8686 - 8707 - 8708 + 34810 - 8709.\nAnswer: 74*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - s + 0*s)*(-s**2 - 3 + 3) - 3*s**3 + 5*s**3 - 3*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 62753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -8*o - 34. Determine i(-7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a year in months?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1573)*-1 - sqrt(13)) + 4)*2)**2 - (-2*-1*sqrt(117))\/(sqrt(9) + sqrt(9)*2*-4).\nAnswer: -2686*sqrt(13)\/7 + 7552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -107 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q - 6. Let u(w) = 6*w + 18. Let r(d) = 17*s(d) + 6*u(d). What is the lowest common multiple of r(8) and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 13*i - 22. Let r be z(11). Solve r = -2*t - t + 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/103 in 3, -733, -256?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 569406 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**2 + 13077714*l - 14252216955483 = 0.\nAnswer: 2179619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.17679*-11902.\nAnswer: 2104.15458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x - 3*f - 19, -25 = 4*x + 19*f - 16*f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((175\/45)\/5)\/((-130)\/(-15)). Is q > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 427, 429, 433, 439?\n\"Answer: n**2 - n + 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4\/7 - 16*w**3\/7 - 16*w**2\/7 + 192*w\/7 + 288\/7.\nAnswer: 2*(w - 6)**2*(w + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 93785 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -201150 to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*(-3 - -4) + 3. Let w = 3 + n. Calculate the remainder when w is divided by 1\/((-14)\/(-4))*(-42)\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10806.\nAnswer: 2, 3, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -11.8, 10, -6, 13, -4 in decreasing order.\nAnswer: 13, 10, -2, -4, -6, -11.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 6:55 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18195 divided by 3639.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65 + 5*t - 66 - 13*t)*(0*t + t + 3*t)*(-1 + 0 + 2).\nAnswer: -32*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/13, 377, 2\/7, -2\/3, -1627?\nAnswer: 377","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3669*n**2 - 2559 + 2559 as w*n + a + j*n**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40 * 279.21.\nAnswer: 11168.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*i + 268 = 249 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 3*l - 1. Let q(s) = 3*s - 1. Let z(u) = 5*h(u) - 5*q(u). Let c(t) = 7*t**2. Determine c(z(b)).\nAnswer: 175*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 55*(-36)\/264*(-4)\/(-2)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -373 (base 13) in base 16?\nAnswer: -259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1025516.\nAnswer: 2, 449, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 28.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-66)\/(-22))\/(12\/(-8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 35 = 3*o, -5*o - 2 = -3*s - 3*o. Does 2 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 - -37. Suppose 0 = -6*w + w - 10. Sort w, p, -4 in decreasing order.\nAnswer: p, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + 6. Calculate the greatest common factor of g and 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (5 + -11) - -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 163937086 divided by -2?\nAnswer: -81968543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4176 divided by -6?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 3*k + 11618 + 5122, 0 = 5*k - 25. Is (c\/4)\/((-24)\/(-32)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 910 smaller than 661?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -392*f**3\/5 - 112*f**2 - 186*f\/5 - 18\/5 = 0 for f.\nAnswer: -1, -3\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (296*n - 13*n**2 + 9*n**2 - 417*n)*(5 + 2*n - 13 + 3).\nAnswer: -8*n**3 - 222*n**2 + 605*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 22*l**2. Let g(b) = 11258*b. Calculate g(r(v)).\nAnswer: 247676*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 6*y - 150 = 0. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 261*n**3 + 7*n**2 - 19*n + 22. Let s be a(18). Round s to the nearest ten thousand.\nAnswer: 1520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 95045727?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7477138, -7477106, -7477074, -7477042, -7477010, -7476978?\n\"Answer: 32*h - 7477170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - -148?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -837846 divided by 139641?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 863584.\nAnswer: 2, 26987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/(h\/(h\/(h**(1\/7)*h)*h)*h))\/((h\/(h*(h*h**(-14\/9)*h)\/h*h*h))\/h))**(-48))**39)**36 assuming h is positive.\nAnswer: h**(-1085760\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.213331173 plus 0.3?\nAnswer: 33.513331173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -62?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 55355888 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37609?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 3*v**2 + 4*v + 4. Let c be a(-3). Suppose -c = -2*u - 4*n, n = 4*u - 3*n - 104. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1643608 is divided by 130.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 179, 371, 651, 1025, 1499, 2079, 2771?\nAnswer: 3581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 837 - 835. Let h(c) be the second derivative of 0*c**y + 1\/2*c**4 - 13\/40*c**5 - 1\/3*c**3 - 1\/84*c**7 + 1\/10*c**6 + 5*c + 0. Factor h(b).\nAnswer: -b*(b - 2)**2*(b - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -76, -160, -250, -346, -448, -556?\n\"Answer: -3*m**2 - 75*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 33\/2, 4?\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 84 + -74. Let t be 96\/(-216) - 16\/(-36). Sort t, -4, s in decreasing order.\nAnswer: s, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-4) - (-18)\/24. Sort f, -2, 2.\nAnswer: -2, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4923 is divided by 1163?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {q: 1, v: 2, j: 3, t: 1, h: 7, o: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6908246, -13816494, -20724742?\n\"Answer: -6908248*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)*-1 + 3 + -6*(4 + sqrt(605)))**2.\nAnswer: 3234*sqrt(5) + 30086","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11070 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -5618*u**2 + 3344*u**2 - 4422*u**2 - 974*u**2 as v*u + f*u**2 + z and give f.\nAnswer: -7670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 86*y**2 + 1. Let q(t) = 609918*t. Give l(q(n)).\nAnswer: 31991997138264*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*3*((-104)\/91)\/((-40)\/(-42)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1*sqrt(180) - sqrt(180))\/sqrt(10))\/(3*(sqrt(9) - (sqrt(225) + sqrt(9)))) + -2)*-2)**2.\nAnswer: -32*sqrt(2)\/15 + 3632\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 4*o**2 - 3*o - 1. Suppose 0 = 5*v - 4*y + 15, -2*v - y = 3 + 3. Let n be x(v). Let b = n + 2. Is 0 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 1:59 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 255 and 405?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in nineteen quarters of a milligram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 9*q + 1550. Let a = q - -167. Solve 0 = -0*j + 3*j - a for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 1035\/(-161) + 3\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 44.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 18. Let c = -4 + b. What is the second derivative of -m - m + 0*m**c + 2*m**3 wrt m?\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r + 1. Let i be k(7). Let f(t) be the first derivative of 2 - 2*t**2 - 1 + 2*t + 3*t. Let g(o) = -7*o + 9. What is i*g(w) + 11*f(w)?\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27224910, 27224902, 27224894?\nAnswer: 27224886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5*k**2 - 2*k + 1. Let x be b(1). Suppose -x*n - 6*n = 90. Is -5 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2912)\/192 + (-40)\/48 - (0 + 0).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303.0488um in centimeters?\nAnswer: 0.03030488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4*(sqrt(11) - (sqrt(539) + sqrt(11))) + 3))**2.\nAnswer: -6048*sqrt(11) + 310788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 94627760?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.04 + -0.34. Let d = -204 + 204.4. What is the nearest to 0.8 in d, -6\/5, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from zzdzdzddddddedzddd?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 56*q + 16. Let d be l(-10). Suppose -5 = 5*o - 4*z, 4*z + 4 = 3*o - 1. Let u be d\/20*o\/2. What is u rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -164 + 163.5. What is the nearest to 6 in -2, f, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 3*v**5\/20 - 3*v**3\/2 + 3*v**2 + 11*v + 1. Let g(q) be the first derivative of p(q). Solve g(j) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 429, -4, -5 in ascending order.\nAnswer: -5, -4, 429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 60\/850*((-20)\/(-6))\/(-1)\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (2\/6)\/((-2)\/(-114))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 5*p + 30 = 0, 40 - 27 = 2*m + p for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(1\/4))**(-18)\/(l**(-1\/4))**(-2\/37)*((l**6\/l)\/(l*(l**(2\/7)\/l)\/l))\/(((l\/((l**(-1\/4)*l)\/l)*l)\/l)\/l)**(-1\/5) assuming l is positive.\nAnswer: l**(-40141\/5180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*d + 0 = 16 - 98 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*b + 4. Sort 4, b, 0 in decreasing order.\nAnswer: 4, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -3*c**2 - 6852*c + 2001156 = 0.\nAnswer: -2546, 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2347.47 rounded to the nearest one hundred?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -52 + 33 + 12 - (-12 - -2 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 18 - 4 = 0. Suppose 0 = z*s + b - 157, 4*s + 0*s - 4*b - 320 = 0. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 201076?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -128 + 155. What is the least common multiple of f and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 240 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 + -12 - 28) + 9 - -31?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -4, -4*s = 5*d - 25 + 4. Suppose 3*j + d*b = 248, -j + b = 2*j - 242. Suppose j = f - 7*c + 2*c, -387 = -4*f - c. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24719*w - 49416*w + 24705*w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -96*s + 97*s - 2. Put s, -0.3, 5, -0.4 in descending order.\nAnswer: 5, s, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 s, and 1 c when three letters picked without replacement from sqblffc.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = -8*c - 7. What is the remainder when 474 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.005*-22967.\nAnswer: -114.835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + 5*o - 11*o - 11*o.\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 985737.8g?\nAnswer: 985737800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*l - 84 = -3*r, 5*r + 4*l = 96. Let k be 0\/r*((-7)\/(-3) + -2). Calculate the common denominator of k + (5495\/510)\/(-7) and -7\/16.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12143762?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 19011.5 to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d - d - d + (-2 + 2 - 11)*(4 + 2*d - 4) in the form s*d + p and give s.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a. Suppose 5*i + 5 - 15 = 0. Let o be (4\/(-3))\/((-4)\/6). Let t(g) = g**i - g**o + 4*g**2. Determine y(t(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 123 and 13776.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 288 + -284. Differentiate 5*o - 1250 + 552 - h*o**3 + 565 with respect to o.\nAnswer: -12*o**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 4 + 5)*(-13 - 2 - 15)*(-t + t + 4*t)*(2 - 4 + 3) as i*t + a and give i.\nAnswer: -840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1.2, 0.1, 0.0189, -23.7?\nAnswer: 0.0189","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5137 - 7697 = -64*j for j.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5001 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7399 and 1225?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.2 - 0.2. Let m = -11 + 6. What is the closest to 1\/3 in 0.1, m, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -1)*(-6)\/4. Suppose r*w - 9 - 24 = 0. Calculate the remainder when 8\/6*1305\/60 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*q - 5077 = 0, i - 4060 = -3*i + 4*q. What is the hundreds digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 225 - 203. What is the lowest common multiple of 72 and o?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.7176 litres?\nAnswer: 7717.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3775\/(-165) + (-1652)\/13629\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a week in hours?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2660 + 2273 + 4*u - 3*u)*(-2 + 0 + 4) to n*u + w and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 105 + -100. Suppose -v + 1631 = -2*w, -5*v + t*w = -0*w - 8175. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 66716879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/208128 and 137\/1152.\nAnswer: 624384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 3366362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*d**2 + 0*d - 3 + 8*d + 4*d.\nAnswer: -21*d**2 + 12*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3, -31, -67, -105, -145, -187?\n\"Answer: -z**2 - 31*z + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 4*s - 3*s)*(473 + 949 - 1734).\nAnswer: 312*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, f: 2, o: 4, l: 4, w: 1, i: 1}. What is prob of picking 2 l and 1 f?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5480337 + 5480289.999997. Let y = 47 + b. Round y to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2 + 0)*(-16 + 21 - 6 + 3*l) as i*l + j and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*h = -150. Let a = 71 - h. Calculate the remainder when a is divided by 1071\/85*10\/6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -9*r**2 - 2. Let o(i) = -9*i**2 - 3. Let k be (-17)\/(-6) + 6\/(-1) + (-2627)\/(-426). Calculate k*a(c) - 2*o(c).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200*j**2 + 263*j**2 - 3 - 97*j**2 + 0.\nAnswer: 366*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2 + 1 - 588*y**2 + 589*y**2 + y. Let t be z(-3). Suppose t*d - d = 0. Solve -5*i + 20 = d, -5*l + 33 = -0*i + 2*i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 10*w = 0. Let z = -23\/8 - -239\/72. Suppose 2\/9*d - z*d**2 + w = 0. Calculate d.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.08 + -3.92. Let n = j + 3.5. Let t be (-1)\/(-4)*(1 - 2). Put t, n, 0.3 in increasing order.\nAnswer: n, t, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of 0*c**3 + 0*c**5 - 10*c - 4\/15*c**6 + 0*c**2 - 1\/14*c**7 - 7\/2*c**4 + 1. What is the third derivative of w(s) wrt s?\nAnswer: -180*s**2 - 192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 101289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of a**7\/35 - 5*a**4\/24 - 2*a**2 - 3. Let p(h) be the second derivative of m(h). Find the second derivative of p(b) wrt b.\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 3:20 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 17. Let t = 3.5 - 3. Let y = -0.1 + 0. Which is the nearest to y? (a) t (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*o**3 + 38*o**3 - 19*o**3.\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2 - 144. Let o(b) = 23*b. What is o(c(a))?\nAnswer: -46*a**2 - 3312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 8:49 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x - 3. Let m(t) = -5*t + 7. Suppose 2*n = 11 + 3. Let h(o) = n*l(o) + 3*m(o). Let z(g) = 8*g. Calculate -21*h(u) - 3*z(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4636, -18412, -41330, -73354, -114448, -164576, -223702?\nAnswer: -291790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w - 89 = -3*i - 2*w, 156 = 7*i - 10*i + 3*w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(117) + (sqrt(117) - -2*sqrt(117)) + sqrt(117) + sqrt(117) + 3) - ((0 + sqrt(117) - sqrt(117))*-6 + 2))**2.\nAnswer: 2016*sqrt(13) + 67588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -290088 divided by -4029.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 312234?\nAnswer: -312234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2146.19099 + 2146. What is x rounded to 3 dps?\nAnswer: -0.191","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 1. Let t(j) = -29*j - 3. Suppose 12*m - 17*m - 17 = r, 0 = -2*m - 5*r - 16. Give m*w(o) - t(o).\nAnswer: 26*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 251 - -852. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + 3. Calculate the remainder when b is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -613.54 + 0.54. Let t = 628 + k. Let c = 0.9 + -0.6. What is the nearest to -1 in c, t, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of y**6\/360 + 25*y**4\/12 + y**2\/2 + 29*y. Let o(u) be the third derivative of t(u). Let m(p) = -10*p**2. Calculate m(o(q)).\nAnswer: -40*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((1 + sqrt(2057) - sqrt(2057))*-1 - (sqrt(2057) - -1*1*sqrt(2057)))*6 + (-3*sqrt(2057)*-2 + (sqrt(2057) + 2)*2 + sqrt(2057))**2.\nAnswer: 660*sqrt(17) + 166625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**4 + 11*r**4 + 66*r**4)*(0 + 2*r + 0).\nAnswer: 144*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1482)\/78)\/(40\/(-60)*4\/((-8)\/3))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.610340624 rounded to four decimal places?\nAnswer: 1.6103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -7*u**4\/24 + 201*u**2 + 10. Let k(c) = c**2 - 74*c. What is k(g(f))?\nAnswer: 49*f**2 + 518*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/9 (b) 3 (c) -23 (d) 1 (e) -1\/185 (f) -105\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d**3 - 6*d**2 - 3. Let i(n) = -7*n**3 + 11*n**2 + 5. Let w(x) = -3*i(x) - 5*l(x). Determine w(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38116993.\nAnswer: 37, 1009, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*s = -0*s - 754, -v + 266 = -2*s. Calculate the greatest common factor of 6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -325 or -327?\nAnswer: -327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -276, -540, -804, -1068, -1332, -1596?\nAnswer: -1860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f**2 + 4*f + 3. Let n be q(-2). Let v = -7 + n. Let o = v + 12. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*sqrt(75).\nAnswer: -5*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3655310?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 7*z**2 + 2*z - 6. Suppose 4*c + 38 = 5*d, -23 = 2*c - 3*d - 3. Determine s(c).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1101010111001 (base 2) to base 8\nAnswer: -15271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 - -1011010?\nAnswer: 1100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nuuyjjvhy. What is prob of sequence hnu?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 345 - 345. Is m at least as big as 0.55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1074484645\/644 - 1668454. Let h = -162 + 14903\/92. Let b = h - s. Sort b, 1\/2, -1\/8 in ascending order.\nAnswer: b, -1\/8, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-4 + 1 - (-4 + 6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 36350 * -377\nAnswer: -13703950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5434 + -5043. Does 23 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -466*d**2 + 2. Let n(k) = -13*k. What is n(p(v))?\nAnswer: 6058*v**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, -4, 391, 31 in decreasing order.\nAnswer: 391, 31, -4, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence reg when three letters picked without replacement from {o: 2, r: 1, e: 1, g: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1464 and 737246?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (4 + (5 - 5) - 7)*(-6 + 147\/(-189))\nAnswer: 61\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -p**6\/30 + 13*p**4\/24 - p**2\/2 - 30. Let b(g) be the second derivative of w(g). What is the second derivative of b(o) wrt o?\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/(x\/(x\/((x**31\/x)\/x))))\/x**34)\/((x**41*x)\/x*x**(3\/17)))**(-26) assuming x is positive.\nAnswer: x**(45162\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 5*s. Let t be o(5). Let y(q) = 1 + t*q**3 - 3*q + 3*q + q**3 - 3*q. Suppose -r - f = -3, -4*f + 0*f = 2*r - 8. Calculate y(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 h when three letters picked without replacement from {l: 1, j: 5, h: 3, w: 1, y: 2}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 715268 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: Expand (-552 + 552 + y**2)*(1 + 0 + 0)*(10*y + 0*y + 5*y).\nAnswer: 15*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35.02 - 35. What is the biggest value in 1, 0.2, 0.1, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -9*t + 7*t + 2795 - 2805, 3*t - 2*t + 23 = 5*b + 6 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 104\/1508 - (-114)\/29 - (-5588 - -5). Calculate the highest common factor of l and 1359.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -88, -61, 12, 155, 392?\n\"Answer: 4*w**3 - w**2 + 2*w - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**8\/168 - x**6\/30 + x**4\/12 - 246*x**2. What is r in a(r) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*a - 3851 - 53619, 4*a = -2*s + 57458. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 1 = -2*r - 4*s, 3*r - 54 = -s. Suppose -v - r = 3*a, -5*v - a = 10 + 10. Let j(d) = 3*d + 1. Determine j(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -1\/10, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 2*f - 2. Suppose -3*c - 8 = -2*h, -5*c + 16 + 4 = 0. Let o = 64 - 62. Suppose -o + h = -4*q. Give n(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 92\/5 + 20\/(-50). Suppose -3*i + z = -36. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/18931 - 1173752\/283965. Let b = u - -74\/15. Factor -12\/5*v**2 + 4\/5*v**3 - b*v + 12\/5.\nAnswer: 4*(v - 3)*(v - 1)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 1610955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r - 29\/2 - 1\/2*r**2 = 0. Calculate r.\nAnswer: -29, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1115975479?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-456)\/(-4788) + (205\/(-45))\/(14\/(-12)) and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4583 or -4577?\nAnswer: -4577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -14. Is q < -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/3*(-10)\/(-4). Let i = -0.816 - -0.616. Which is the second smallest value? (a) i (b) 0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-4) - (-5)\/(-12)*(-94)\/235. Is 4190 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 + 19 = -x. Find the second derivative of -x*d - 38*d - 31*d - 231*d**4 + 4 + 131*d - 46*d wrt d.\nAnswer: -2772*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -115, -205, -313, -445, -607, -805, -1045?\nAnswer: -1333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2514647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -19.4. Let j = m - 5.6. What is the second biggest value in -0.6, -1\/2, j?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k. Suppose 2*r = 4*l + 20, -4*l = -2*r - l + 18. Let y be 1\/(2 + (1 - 4)). Let g(n) = -n**2 - 5*n + 6. Let u(s) = r*h(s) + y*g(s). Calculate u(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*m**5 + 82*m**5 + 62*m**5 + (5*m - 5*m + m)*(-m**4 - 2*m + 2*m).\nAnswer: 165*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 + 17084*z.\nAnswer: -2*z*(z - 8542)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22837 + -22817. Solve -252 = -d*r - 43*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7688194220.\nAnswer: 2, 5, 7, 54915673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 43 - (-28 + -82 - -90)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 51) + -1082 + 1198\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**5\/4 + 19*q**4\/4 + 21*q**3\/4 - 19*q**2\/4 - 5*q = 0 for q.\nAnswer: -1, 0, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*q + 5*g - 10*g, 0 = -4*q - g + 8. Solve y + q = 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 11944140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -8*g**3 - 3767*g**2 + 535*g + 30095. Calculate c(-471).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 10:49 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-3\/7)*y))\/(y\/((y\/((y\/(y*y**(2\/5)))\/y*y))\/y)))**21\/((y\/(y*y\/(((y*y*y*y\/(y*y**1*y)*y)\/y)\/y)*y))**3\/(y**1)**(3\/17)) assuming y is positive.\nAnswer: y**(219\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10321 (base 4) in base 8?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011 (base 2) to base 8.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((59940\/(-72))\/185)\/(((-4)\/14)\/(24\/(-42)))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-381180)\/44471)\/(((-7)\/(-21))\/(28\/(-6)))\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + p - 37 = -2*s, -104 = -5*s + 4*p. Let f = s + -11. Solve 4*b - f = j, -2*b - 2*b + 3*j = -11 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 2:49 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5736, 5713, 5702, 5709, 5740?\nAnswer: 5801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -x**6\/360 + x**5\/30 - 25*x**3\/3 + 17. Let y(v) be the third derivative of k(v). What is y(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35*m - m + 12*m - 3*m + 6*m - 2*m + (0*m + 2*m - 4*m)*(3 + 0 - 1) + 3 + m - 3 + 2 + m - 2.\nAnswer: -25*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -243370 to the nearest 10000.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-207 + 18)\/(-27) - (-2192)\/(-304)?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 16. Let y be (-5)\/35 + 0\/(-2). Which is the smallest value? (a) -4 (b) r (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 4:16 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - -41. Let m(g) = g**2 - 1. What are the prime factors of m(v)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 382528 divided by 139\nAnswer: 2752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 2) + (-2 - 1 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*p + 50. Solve -3*x + 0*x = -2*s - p, -3*x = -15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 118 or -723?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53\/2 + 25. Find the common denominator of p and -51\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5\/8 - 21*p**4\/8 - 41*p**3\/8 + 249*p**2\/8 + 135*p\/4 = 0. What is p?\nAnswer: -18, -5, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 11:24 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 15*m**3 + 2*m**2 + 3*m - 2. Let g be x(-2). Is 6\/g*-4*6905 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(12 + 1008*q + 4 - 1011*q)*(-2*q**3 - 4*q**3 + q**3).\nAnswer: 30*q**4 - 160*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-84)\/(-70))\/((-4)\/(-10)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 685527 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 528421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 5351131?\nAnswer: 5351135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 52\/7 - (-16)\/28. Solve -2*d - 2*d = x for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of x**2\/2 + 6*x + 1. Let b be f(-5). Let u = -255\/4 - -64. Is b at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/3150*14)\/((-1)\/3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -7*d**3\/3 + 3*d**2 + 12*d. Let l be r(-9). Suppose -u + l = 2*u. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t + 210. Calculate r(-66).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -233 + 232.9. Let v = -59 + 121. Is h > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5*1*sqrt(567) - 3*sqrt(567)*3)**2.\nAnswer: 444528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4007 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 4879, 19090, 42773, 75928, 118555?\n\"Answer: 4736*o**2 + 3*o + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**2\/4 + 219*f\/2 - 47961\/4 = 0. What is f?\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 369*d + 12*t + 2 - 17 = 374*d + 2*t, -2*d = 2*t - 18 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4*p - 68 = 0, -f = 4*f + 5*p - 65. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/11607, -2\/31, 1\/8, 0.05?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i**3 + 8*i**2 - 7*i - 4. Let z(a) = 3*a**3 - 7*a**2 + 6*a + 3. Give 2*j(g) + 3*z(g).\nAnswer: g**3 - 5*g**2 + 4*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 4*d**2 - d - 4. Suppose -5*i = 3*v - 32, 4*i - 3 - 5 = 2*v. Calculate j(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**3 - 51*o**2 + o - 12. Let z be p(17). Solve 0 = -7*n - z - 23 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2677 is divided by 391?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2208507794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11742631*i**3 + 42429774*i.\nAnswer: -70455786*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 918 + 0 + 4 + -3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in kilograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 4*s - 177, -208 + 25 = -3*v + 2*s. Let r be 1274\/v - 2\/9. Solve -g = -6*g + r for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 6*p**3 - 14*p**2 + 501*p - 1009. What is f(2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -g**2\/2 - g - 2. Let s(b) be the second derivative of -b**3\/3 - 3*b**2 + 2*b + 42. Give 5*l(w) - s(w).\nAnswer: -3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 + 422*w - 304980.\nAnswer: 2*(w - 299)*(w + 510)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*v = 0. Suppose -5 = -5*c + f, -5*f - 25 = -0*c - 5*c. Let z(l) = -3289 + 3291 - l + l**3 + c*l**3. Calculate z(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8010 > -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65 + -66. List the prime factors of 4 + -2 + -194*t\/2.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u + 1 - 1)*(-24 + 7 - 33) + (3 - 2 - 3)*(2 + u - 2) - u + 2*u - 3*u in the form o + z*u and give z.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-2)\/24)\/((-2)\/86) and 19\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27976 divided by -5\nAnswer: -27976\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 93870452 rounded to the nearest 100000?\nAnswer: 93900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 148*v + 1386. What is m(-8)?\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 56.37041l?\nAnswer: 56370.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 12:03 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*a**3*b**2 + 1668*a**3*b - 103*a**2*b**3 - 4*a*b**3 - 8*a*b - b wrt b.\nAnswer: -10*a**3 - 618*a**2*b - 24*a*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 25175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -6*h - 1. Let r(q) = -45*q + 580. Let u be r(13). Let y(t) = -7*t - 1. Suppose 0*b - 24 = -4*b. Let i(x) = b*c(x) + u*y(x). Give i(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -10*u - 9. What is r(-5)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64 + -60. Suppose -y = 5*n - 19. Put -5, 5, -6, n in increasing order.\nAnswer: -6, -5, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1277, 19, 4, -14, 100 in ascending order.\nAnswer: -1277, -14, 4, 19, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -308 + 305.18. Let a = 0.28 + v. Let k = a + 3.1. What is k rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen ninths of a week in minutes?\nAnswer: 17920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-695)\/15290)\/(3\/(-2))\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -38327*z + 1571409. Determine x(41).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b\/b**14)**(-1\/29)\/((b*(b*b**(-13\/3))\/b)\/(b\/(b**16*b)*b*b)))**(-3\/13) assuming b is positive.\nAnswer: b**(895\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -8*a**5 - 1080*a**4 - 2122*a**3 + 808*a**2 + 1326*a - 532 = 0.\nAnswer: -133, -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ntnnnnnnnnntnntn. Give prob of picking 1 n and 1 t.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 2:59 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2 - 10. Let n be (29 - (-9553)\/(-328)) + (-82)\/(-16). Sort 3, 8, n, s in descending order.\nAnswer: 8, n, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 710 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -161, 1909, 5349, 10153, 16315?\n\"Answer: -d**3 + 691*d**2 + 4*d - 855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.566 centuries in decades?\nAnswer: 185.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*y**4 + 83*y**3 - 3687*y**2 + 73*y + 335669 wrt y?\nAnswer: 24*y**2 + 498*y - 7374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b*l**2*t - 30894*b*l**2 + 105*b + 7*l*t - 3018*t + 5 wrt l.\nAnswer: -4*b*l*t - 61788*b*l + 7*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 30, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -3. Let s(p) = -p - p**l + 0*p - 3 + 7*p. Let v be s(4). What is the highest common divisor of 1 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 14. Let t(n) = -4*n + 56. Let z(d) = 8*s(d) - 2*t(d). Let r(a) = 224*a**2. What is z(r(i))?\nAnswer: 1792*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 8857716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1920700 rounded to the nearest one thousand?\nAnswer: -1921000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.4 - 6. Let n = -3 + 5. Let s = 2 - n. Which is the closest to s? (a) 5 (b) u (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 5. Let t be y(0). Let a(u) = 2*u - 4. Let m be a(-7). Let d be (24\/m)\/(4\/6). Sort t, d, 0.\nAnswer: d, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 236 + -2?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x. Let g be (-176)\/(-40) - (-2)\/(-5). Let k = -1 + g. Let n(a) = 3*a + 4*a - k*a + a. Calculate n(b(z)).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6917163943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r. Let b(m) = -3*m + 120. Give b(k(n)).\nAnswer: 15*n + 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*n + n + 845 = 0, f = -2*n + 220. What are the prime factors of f?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6000)*3 - sqrt(6000))\/(sqrt(72)\/sqrt(6)) + 5.\nAnswer: 5 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 829, 1590, 2351?\n\"Answer: 761*f + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000000101110111011001 (base 2) in base 14?\nAnswer: ba57bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*v. Suppose b + 5*x + 7 = v, -2*b - b + 4*x = -74. Calculate the lowest common multiple of (-49)\/(-4) - (-1)\/(-4) and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1711*j**3 + 4*j**4 + 9*j**2 + 2 + 857*j**3 + j - 4 + 861*j**3 in the form s*j + b*j**2 + h*j**3 + i*j**4 + v and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -15297\/7 bigger than -8.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in -2\/7, -2, -46\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52106 or -194?\nAnswer: -194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*r**3 - 22*r**4 + r + 0*r**3 - 2*r + 9*r**3 in the form a*r + p*r**4 + m + w*r**3 + n*r**2 and give p.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 143410, 143335, 143260, 143185?\nAnswer: 143110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -7*v + 135. What is the remainder when v is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.66 + -0.7. Let m = o - 0.06. Let d be (-4)\/(-6) + 0\/(-2). Which is the nearest to m? (a) d (b) -0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-15))\/(1\/(65\/(-78))).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 0. Let r = 852 - 851.9. Is r smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6)\/((h\/(h**(1\/5)*h*h*h))\/h*h*h))**(1\/51) assuming h is positive.\nAnswer: h**(-8\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 55*b**2. Let j(d) be the third derivative of 1\/30*d**5 + 0*d + 0*d**4 - 21*d**2 + 0*d**3 + 0. Determine j(m(t)).\nAnswer: 6050*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3640.0015 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2.4 - 0.0186\nAnswer: -2.4186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, w: 2, b: 4}. What is prob of picking 2 d?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -5 - -8 - 8) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -342 * -0.37\nAnswer: 126.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 220747001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1005227 and 0.2768549.\nAnswer: 1005227.2768549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -95*h. Let k(m) = 7*m**2. Calculate j(k(u)).\nAnswer: -665*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 - ((2 - -1) + -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16202 + -3?\nAnswer: -16205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z + 1. Let h(d) = -6*d + 5. Let b(n) = -h(n) + 5*x(n). Suppose 9 = -3*j + 33. Let t(k) = 3*k + 9*k - j*k. Calculate b(t(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29ca3 (base 16) to base 9.\nAnswer: -280720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15446882 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 13*v + 1. Let w = -6 + 0. Let b = 8 + w. Let f(a) = -3*a. Calculate b*h(i) + 9*f(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*k**3*m**4 + 58*k**3*m**3 + 3*k**3*m - 2*k**3 - 2*k**2*m**2 + 456*k**2*m + 13*m**4 wrt m?\nAnswer: 552*k**3*m + 348*k**3 + 312*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 662*r**2 + 131*r. Let x(z) = -5*z**2. Calculate s(x(a)).\nAnswer: 16550*a**4 - 655*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.89? (a) 4 (b) 6591 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**3 - 3*u + 5. What is the least common multiple of l(2) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, r: 8}. What is prob of sequence pp?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -1765?\nAnswer: -11\/1765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (11 + -18 + 13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-7) - (-318)\/371?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-18))\/(351\/26 - 13)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wgm when three letters picked without replacement from {a: 2, n: 3, m: 1, g: 10, j: 1, w: 1}.\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 4 + -3 - 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 6:00 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.094 - -0.694. Which is the third biggest value? (a) 0.2 (b) 1\/7 (c) -1\/137 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**3\/o)*o**4*o**(2\/13)\/o**(-3\/5))**(-2\/49) assuming o is positive.\nAnswer: o**(-488\/3185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 81, 468, 1167, 2178?\n\"Answer: 156*n**2 - 81*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 1, -855 in ascending order.\nAnswer: -855, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 7*z**6\/60 + 3*z**3\/2 - 4*z**2. Differentiate u(w) wrt w.\nAnswer: 42*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z**2 - 9*z - 2. Let l(f) = -5*f**2 + 8*f + 3. Let m(q) = 3*g(q) + 2*l(q). Let o be m(15). Is (0 + -1)\/((-15)\/o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78067159, -78067158, -78067157, -78067156, -78067155?\nAnswer: -78067154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g*g*g**(2\/3)\/g)\/g)\/g*g\/(g*g\/(((g*g**(-18))\/g)\/g))*(((g**(-2\/25)\/g)\/g*g)\/g)\/(g\/(g**(-11\/5)\/g*g)*g) assuming g is positive.\nAnswer: g**(-1921\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-s + 0*s + 0*s)*(-3 + 2 + 0) - 3*s + 6*s - s)*(56*s + 30*s - 43*s) to v*s**2 + k + t*s and give v.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4) - (-15)\/60.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16690 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 47\/3 - -6*4\/(-36). Suppose 0 = 4*q - 0*y - 3*y - 9, 5*q = 5*y + f. Sort q, 6, 2 in ascending order.\nAnswer: q, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 561601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 1365 = m, 142 + 223 = z + 5*m. Let c be 4\/12 + z\/15. Solve -j - c = 5*d, -2*d + j - 1 = 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17754288 (base 9) to base 15\nAnswer: bbc842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**3 - w**3 + 2*w**3 + (-2*w**2 + 0*w + 0*w)*(8 - 8 + 7*w) + 0*w**3 + w**3 - 3*w**3 as k*w + x*w**2 + i + a*w**3 and give a.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 0*k + 206 + 366 = -16*k for k.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q**2 - q + 6. Suppose 220 = 20*s + 24*s. Let z(k) = -5*k**2 + k - 7. Give s*z(x) + 6*c(x).\nAnswer: -x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -15, -6, -8 in increasing order.\nAnswer: -15, -8, -6, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 8*p = 2*p - 24024. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -111\/4*s + 30 - 3*s**2 + 3\/4*s**3.\nAnswer: 3*(s - 8)*(s - 1)*(s + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*w. Suppose w = 4*f - 1 - 7. Let k be 466\/6 + f\/(-3). What is the highest common factor of k and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17*27\/2295 - 20928\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16203 and 363?\nAnswer: 178233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4*24\/(-32) - (-11000)\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 22*q**2 - 126*q + 40. What is the least common multiple of 210 and z(-12)?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -474*j - 388 = -471*j - 4*p, -5*p - 460 = 3*j. Which is the closest to 0.1? (a) -5 (b) 4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-115)\/(-46))\/(5*-1))\/(-4)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 283.6003 rounded to one decimal place?\nAnswer: 283.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j - 3. Let u(l) = l**2 + 5*l + 5. Let o be u(-5). Determine b(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36179 - (1 + (-2 - 5)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o + 2*o - 71*o**2 + 4*o.\nAnswer: -71*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/5*545\/(-1308). Which is the biggest value? (a) 0.5 (b) 3 (c) k (d) 49 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -2\/17, 1667, -0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2369326938757 - 0.1?\nAnswer: 2369326938756.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/5)\/(6\/48). Determine k so that -g - 2\/5*k**2 - 8\/5*k = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, -103, -322, -627, -1018, -1495, -2058?\nAnswer: -2707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1066142 divided by 86.\nAnswer: -12397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -5b704?\nAnswer: 5b706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 8*q - 5. Let c(r) = -10*r - 11. Let l be c(-2). Let m = l - 17. Calculate j(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/6520073 and 41\/63?\nAnswer: 58680657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 + 2*t - 5. Let o(x) = 3*x**2 + 4*x - 10. Suppose -13 = 4*r + 5*z, -3*r - 33*z + 29*z = 10. What is r*o(u) + 5*d(u)?\nAnswer: 4*u**2 + 2*u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3*w - 18 = 0, -y - 3*w - 2 = -0. Suppose 2*r = y*r. Let p = r + 3. Solve 3*b = -p - 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 4*c**2 - c + 2. Let f be z(-4). Suppose -8*y = -f*y - 5*j - 20, 0 = -y - 3*j + 10. Solve 6*o - y = o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 24*x**2 + 417*x - 832. What is the lowest common multiple of s(2) and 10?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/20 of a millimeter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7923 and 2085?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(0 - 2 + 0)*(s - 1 + 1) + (-1 - 2*s + 1)*(-35 - 200 + 22).\nAnswer: 424*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 4*q**2 + q - 9. Determine m(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t + 3 - t**2 + 7*t - 7*t. Let m be p(0). Let b(g) = -528 + 525 - g + 2*g. Determine b(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23.316376+511\nAnswer: 534.316376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -3*p + 4*h, -18*h = p - 24*h + 1 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 366\/30)*(735 + -740).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 11:08 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 155*m**3 - 7*m**2 + 13*m - 6. What is the units digit of o(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 111*w**3 - w**2 + 1. Let y be c(1). Suppose -4*l + 25 = -y. Does 17 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 4) to base 14.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (154\/(-231))\/(3\/40*(-4)\/3006)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of 7*b**5\/60 - b**2. Let l(s) = 3*s. Determine l(a(r)).\nAnswer: 21*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*q + 3*w, -4*q = 4*w - 17 - 43. Calculate the remainder when ((-2)\/(-8))\/((-25)\/25)*-116 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120\/460*(9\/54)\/1\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 5*p - 3*i, -2*i + 2 + 8 = 2*p. Suppose -2*g - p = -6*g. Let k = -442 - -460. What is the greatest common divisor of g and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 29, 49, 69, 89?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -328919*u**3*z**3 + 2*u**3*z - u**3 + u**2*z - 1226 wrt z?\nAnswer: -1973514*u**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.03, -4, 4, -95?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 111, -3, -8, 19 in ascending order.\nAnswer: -8, -3, 19, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - x = -19, 3*g + 5*x + 0 = -17 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from csixbsbbbxxb. What is prob of picking 2 b, 1 s, and 1 i?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*r + 20*r - 23 = 4*o, -o - o = -37*r - 27 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*o = -0*o - 5, -15 = 3*o. Suppose -10*f = -w*f + 35. Solve l - f*g = -3*g - 16, -20 = -5*g for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 12, 17, 24?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 - l**4 + 3*l**2)*(-1 + 1 - 2*l + (0 + 0 + 1)*(3 + l - 3) + 4*l - 4*l - l + 4*l + 0*l - 5*l + (1 - 3*l - 3 + l)*(-215 + 97 - 138)).\nAnswer: -509*l**5 - 512*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101000011 - 100000?\nAnswer: 110100100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -493 and 2.685.\nAnswer: -1323.705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2130 + 12002?\nAnswer: 3212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0443 to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6867*w + 1837*w + 169292 + 75109 = 38171 for w.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**2\/5 + 330392*h\/5 - 120789516\/5 = 0. What is h?\nAnswer: 366, 330026","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40.6 + -41. What is the nearest to -46 in -4, 1\/2, k, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1328.57 - 1329. Let w = 57.73 + -57. Let t = w + p. What is the closest to t in 0.2, -2\/13, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {x: 1, q: 3, u: 4, l: 1, y: 1, b: 8}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 4*j - 60 = 0. Suppose -151 = -9*s - 106. What is the remainder when (-27)\/12*(3 + j) is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z - 6*z + 5*z + 4*z. Suppose 14*b = -89*b - 412. Determine r(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*n = -1 - 5, 3*z - 4*n = 6. Let g = -3 + 7. Solve -1 = -o, -g*v + 4*o = 2 + z for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1427)\/(-1148)*(1 + 0). Let l = -2\/287 - g. Suppose -3*q = 2*q + 5. Which is smaller: q or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 2080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 241*r + 1693. Let w be j(-7). Solve -3*b - 18 = -3*u, -w = 4*b + 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 4*i**2 + 0*i**2)*(i**2 + 2*i**2 - 4*i**2) + 3*i**4 + 3*i - 3*i + (2*i**3 - 4*i**3 + 0*i**3)*(3*i - 5*i + 0*i).\nAnswer: 3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/(-12) + 2\/(-3). Let i be (s\/(-2))\/(2\/372). Let x = 751\/8 + i. Find the common denominator of x and -29\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43547?\nAnswer: 7, 6221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((3 - -3)\/(-6))\/1. Let o(a) = 3*a**3 - 4. Let x(t) = 1. Calculate g*o(u) - 4*x(u).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 2029420*m + 36530208.\nAnswer: -2*(m - 1014728)*(m + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9739 by 62.\nAnswer: 9739\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -5*i**3\/6 + 52*i**2 - 347*i - 2. Give r(19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1060827531 to the nearest integer?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 513?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 796 + -796. Let f = 1 + -5. What is the nearest to s in -5, f, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061142961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 2*h**2 + 3*h - 3. Let p be a(3). Let r(z) = -17*z + 85. Let w be r(5). What is the units digit of w + 1 + 79 + p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4*f + 11 = 0, 3*f = -y + 15 - 4. What is the hundreds digit of (-10 + 9)\/(y\/401)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 126 = -434. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/3 - (2 - (-26)\/(-12))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*g + 8 - 30, 2*g + 55 = 5*y. Let o = 8 - 3. Suppose 3*z = 4*j + 1 + 6, -33 = -2*z - 3*j. Solve y = -o*d - z for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5360812\/25926665 + 1\/87887. Find the common denominator of -12\/3245 and d.\nAnswer: 3245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 - -0.7. Let r = 1.6 - -19.4. Let l = -18 + r. Which is the third biggest value? (a) l (b) p (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 91.686 - -4.594. Round p to zero decimal places.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -362, 1, 3\/4 in descending order.\nAnswer: 1, 3\/4, -362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11454 - 5?\nAnswer: -11503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 90\/(-11) + 4\/(-814)*-111\nAnswer: -84\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2999892, -5999781, -8999670, -11999559, -14999448, -17999337?\n\"Answer: -2999889*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -10225255?\nAnswer: -10225260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*l + 2*l. Suppose -5*n = -2*a - 34, -3*n + 5*n - 5*a = 22. Calculate the greatest common divisor of l and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 535 and 963.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -96*b + 101. Let r(s) = -1441*s + 1518. Let h(m) = 44*j(m) - 3*r(m). What is the derivative of h(k) wrt k?\nAnswer: 99","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33351 is divided by 143?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-3 - -5 - 2) + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98652968?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45359217 is divided by 1622.\nAnswer: 1609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*j - 31 - 21. Let t(k) = k**3 + 4*k**2 - k - 5. Let n be t(j). Which is the smallest value? (a) n (b) 2 (c) 13 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2810, -5633, -8456, -11279, -14102?\nAnswer: -16925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*u + 8, -j + 20 = 4*u + 2*j. Solve -u*k = -2*m, -2*m + 3*m = 4*k + 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286*r - 138*r = -561*r + 4795 for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 61172.3 microseconds in nanoseconds?\nAnswer: 61172300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2892158?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -5309?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14594 + -43784\/3. Sort 1\/3, -4\/7, 13, 9, v in descending order.\nAnswer: 13, 9, 1\/3, -4\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00029219865 rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -44*t - 1651. Let a(i) = 197*i + 6603. What is 2*a(l) + 9*y(l)?\nAnswer: -2*l - 1653","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7642439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/4)\/(2\/(-8)). Let d(m) = -7*m + 61. Let p be d(8). Solve -s = p*g + 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*2 - (-3 - 2). Let x(z) = -z**3 + 4*z**2 - 3*z + 1. Let b be x(q). Suppose 3*i = 17 - 8. Solve i*k = 7 - b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.823 - 0.677. Let x = 2 + -2.5. Let g = x + j. What is the closest to -0.1 in 4, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*g - 1315 - 185. Suppose -55 = 5*t - g. Suppose -2*d - t = -4*h + 15, 12 = h + 3*d. Solve -4*r + h = -r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 263, 258, 249, 236?\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 b when two letters picked without replacement from zzzbbzzbzzb.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/23 (b) 1\/1461 (c) -3179\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28864891 to the nearest integer?\nAnswer: 5373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y + 3. Let w be k(-2). Let r be (-74)\/(-26) - (8 + -5). Is w at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 + 65*h + 416. Let s be z(-24). Solve -2*i = -4*l - s, -3*l + 6*l + 8 = i for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 15 + (0 - 10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, m: 1, l: 1, d: 1, b: 1}. Give prob of sequence bm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 1219*t. Let g(x) = 29*x. Let w(d) = 253*g(d) - 6*v(d). Let q(c) = -99*c + 56*c + 21*c + 16*c. Determine -22*q(j) - 6*w(j).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x**2 - 50*x - 17. Let b(v) = 4. Let u(t) = -3*b(t) + m(t). Let h be u(-16). Solve 0 = h*g + g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 543 and 2250.\nAnswer: 407250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 1154362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (30 + -4)) + 151 + -149?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6087 is divided by 82.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.703, 4, 17.1 in increasing order.\nAnswer: -4.703, 4, 17.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 48528\/21073 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 1\/8*t**4 + 0*t**3 - 1\/4*t**2 + 0*t - 3. Let m(k) = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 - 0*8\/32. Let f(w) = -2*w. What is f(a)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10*(-19 - -8)*(-2)\/8. Let o(d) = 27*d - 322. Let j be o(13). Which is greater: j or s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*w - 17*w - 11*w - 91448. Does 71 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 6 = -2*m. Suppose 2*w + o = -0*o + 15, -w = -o - 15. Let n(z) = -z**2 + 10*z + 3. Let j be n(w). Solve -5*x - 5 = -5*b, -j = -2*b - b - m*x for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395 is divided by 50?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72202946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.415 (b) 0.3 (c) -2 (d) 0.0054 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1759604491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.42 and -0.04.\nAnswer: 0.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1896 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(39)\/sqrt(3)*1 + sqrt(13)*2 + sqrt(13) + 1) - (-4 + sqrt(26)\/sqrt(2)*-3 + 1).\nAnswer: -sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 3*b = -13*b + 175 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27282312 is divided by 108263?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 9297784.\nAnswer: 4648892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -45. Let k(q) = 2*q**2 - 122*q + p + 62*q + 69*q - 3*q**2. Let j be k(11). Solve -3*b - 4*y - 4 = b, -j*b - 4*y = 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 301502 and 1092136?\nAnswer: 1294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 0. Let s(q) = 14*q**2 + 1 + 2*q**2 - 9*q**2 - 6*q**2 - 2*q. What is the remainder when 33 is divided by s(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 157027 = -2*c, 0 = 3*u - 2*c + 301324 + 169733. Suppose 5*t = -15*t + 1480420. Let f = u + t. Round f to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 3:26 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-288)\/28 + 4\/14. Let k = 268\/15 + -1\/5. What is the common denominator of (8 - 9)*p\/(-22) and k?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22579 rounded to the nearest 100?\nAnswer: -22600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3805 + -3329. Suppose 5*s - 7314 - 15356 = 0. Let m = v + s. What is m rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -8.97\nAnswer: -3.588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -2721\/224?\nAnswer: -2721\/224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -187, -186, -185, -184?\n\"Answer: n - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 4*y**2 - y + 11. Let t = -9514 + 9511. Calculate u(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412681 is divided by 2107?\nAnswer: 1816","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 1:27 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 8 = 2*x, -22 = -3*x + 9*j - 5*j for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24265 to the power of 1\/2, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 473 + 7*z - 1121 + 307. Let c be p(49). Let s = -0.02 - 0.28. Put -2, s, c, -2\/13 in decreasing order.\nAnswer: c, -2\/13, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-6)*24\/198*-3.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28647 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.04, 1, 0.005, -2\/15, -71.6?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.295, 3\/2738, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96014088 divided by 3821.\nAnswer: -25128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*i + 5 + 15 + 16*i + 7 to g + b*i and give g.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62*a*t**4 + a*t**2 - 3*a*t + 3*t**2 + 42*t wrt t?\nAnswer: -744*a*t**2 + 2*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4eed3d + -2?\nAnswer: -4eed3f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-27 - -6) - (-16 - -9).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/721832 and -13\/24542288.\nAnswer: 24542288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -170533 - 16?\nAnswer: -170549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252286257?\nAnswer: 3, 84095419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 84178410 divided by -5\nAnswer: -16835682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 6 = -5*a, k + 2 = -a - 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2944*l + 1306*l + 1297*l to the form g + s*l and give s.\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 2*b - 1. Sort b, -1, 2.\nAnswer: -1, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3662 + 21669. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4*m - 2. What is the smallest common multiple of 9 and v(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -402*t + 8037. What is d(20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*q**2 + 2*q**2 - 6*q**2 - 24 + 64*q**2 - 33*q**2 - 33*q**2 + (3 + 0 - 5)*(0*q**2 - 2*q**2 + 3*q**2) in the form r*q**2 + s + o*q and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.93267 litres to millilitres.\nAnswer: 93932.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 28 = -3*c - 2*d, 0 = -c + 4*d + 20. Let l be -1*(-33)\/(-3)*3. Let j = c + l. Solve 5 = t + j for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (1 + -3 + 2)\/1. Solve -35 - m = 12*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 220311 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21403881493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 431*o**4\/2 - 865*o**3\/2 - 425*o**2\/2 + 865*o\/2 - 3 = 0 for o.\nAnswer: -1, 3\/431, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) 3 (c) -5 (d) -3 (e) -433157\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnwjjnqprjnp. Give prob of sequence pj.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, g: 3}. What is prob of sequence gg?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4 - (26\/(-8) + 2). Find t such that p*t + 9\/4*t**2 - 3\/4*t**3 - 9\/4 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23173787, -23173788, -23173789, -23173790, -23173791, -23173792?\nAnswer: -23173793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1070646256?\nAnswer: 2, 31, 179, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/947470 and -61\/410?\nAnswer: 38846270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -1116*v - 965. Let s(c) = 558*c + 481. Let x(q) = -8*j(q) - 15*s(q). What is the first derivative of x(w) wrt w?\nAnswer: 558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 11:09 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1372*a + 0 - 5*a**3 + 3 - 2 + 7*a**3.\nAnswer: 2*a**3 - 1372*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 168*w + 28. Let f(d) = 6*d. What is b(f(i))?\nAnswer: 1008*i + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 8 - 4 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5104263 days in seconds?\nAnswer: 44100.83232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.02666908957 + 300620.02776908957. Let f = l + -300647. Let i = f - -27. Round i to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) 34\/9 (c) -42 (d) -6 (e) -3 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 1\/78032?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/(b*b**(-4)))*b*b*b*b**(-6)*(b*b**2*b)**32 assuming b is positive.\nAnswer: b**122","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 3*p = 0, -3*s = s + p for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3879 is divided by 1478?\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -10, -17, -28, -43, -62, -85?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 12:48 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.29 in -5, -1, -2\/21, 3?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3*48\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -574*t + 581*t + 0 + 0 - 16*t**2 as a*t**2 + f*t + g and give a.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-52)\/10)\/(1458\/210 - 7) is divided by 55.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 6*g + 7. Let a be x(-7). Suppose 5*k - 42 = -3*l, a = -k + 5*l - 13 - 1. Suppose 3*t = 2*t + k. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.6 - 0.4. Let w be 429\/(-78) - (-3 + 0 + -2 + -1). Which is the third smallest value? (a) 6\/11 (b) w (c) z (d) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 3.77654.\nAnswer: -22.65924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g - 2. Let d be i(-5). Let o be ((-1)\/3)\/(2\/d). Let a be (-2 + o - -1) + 2. Solve -4*f + a*l - 19 = -9*f, -4*f - 2*l = -16 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10822662.3 to the nearest one hundred thousand.\nAnswer: 10800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7*(5 - -1*(-42)\/7). Let s(t) = -9*t - 8. Let g(c) = 13*c + 12. Determine a*s(i) + 5*g(i).\nAnswer: 2*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -90373 - -90373. Let w be ((-1)\/2)\/(2\/(-20)). Solve -w*n = z + 15, c*z - 2*n = 5*z - 17 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 21. Suppose y = -2*x + 19, -4*y - 3*x + 36 = -5*x. What is the greatest common factor of y and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-19)\/(-3) - (16 - 12). Let k = m - 2. Let h = -1.06 - -0.99. What is the biggest value in 5, k, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 12*v**5 - 99*v**4 - 996*v**3 + 351*v**2 + 984*v - 252 = 0.\nAnswer: -6, -1, 1\/4, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 188031472 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3182962ml to litres.\nAnswer: 0.0003182962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(25)*4)\/sqrt(5) + sqrt(5) + -1 + sqrt(5) + -3)*6 + -1.\nAnswer: -27 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jtcx when four letters picked without replacement from {d: 1, t: 3, c: 1, x: 2, j: 3, b: 1}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 67798 divided by 311?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 152, 343, 620, 989, 1456?\nAnswer: 2027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**4\/3 - 53*u**3\/3 + 2482*u**2\/3 - 5651*u + 6678 = 0?\nAnswer: -53, 3\/2, 7, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5629 - -39401\/7. Sort -2\/5, -0.03, z, -4\/7, 5 in decreasing order.\nAnswer: 5, -0.03, z, -2\/5, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - (-34 + 16 + -6)) + -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1399.042 and 21.\nAnswer: -29379.882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) -3470 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 4*n + 18, -2*n + 4*n = -w + 12. Let y(f) = f**2 + 5*f + 19. Let q be y(0). Let h = q - 69\/4. Which is smaller: h or w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1504337?\nAnswer: 31, 48527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + 3*s - 4*s)*(-2*s - 3*s + 3*s) + 99*s**2 - 83*s**2 + 5*s - 6*s.\nAnswer: 12*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 28*k**2 + 25*k + 14. Give v(-29).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2869\/231 - -424\/33. Let k = -0.05 - -2.05. Let v = 1 + k. What is the third biggest value in v, b, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12180428 and 1300.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 + -54. Differentiate 23*o**4 - 6*o**4 - 13 - 12*o**p + 27*o**4 with respect to o.\nAnswer: 128*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r + 17*r - r as s + i*r and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4951 is divided by 56?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 4:51 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 7*m + 1. Let h be x(7). Let l be 1\/((-2)\/4*h). Is -1 - l - -45 - -1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 673326544?\nAnswer: 2, 11, 83, 46093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/2749815 and 71\/30247965.\nAnswer: 30247965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 5\/2*k**2 - 3 + 0*k + 0*k**3 + 1\/2*k**4. What is the second derivative of q(l) wrt l?\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -155 - -222. Suppose f = -6*l + 43. Let v be (l - -4) + 5\/1. Sort 0.5, -4, v, -0.5 in decreasing order.\nAnswer: v, 0.5, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*n = 20, f + f = -n + 18. Suppose f*b - 2*b - 35 = 0. What is the least common multiple of 68 and 26\/91 - (-40)\/b?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/3 and 69\/15440380.\nAnswer: 46321140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 204473011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.8 - -28.8. Put -4, f, -2\/3, 4\/9 in descending order.\nAnswer: f, 4\/9, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -138, -246, -390, -582, -834?\nAnswer: -1158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330*d = 377*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 0 + (-52 + 91 - 29).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5*p - 6. Suppose 0*a - 2*l + 6 = 2*a, 2*a - 14 = 2*l. Let q(o) = -2*o - a*o + 11*o + 5. Give -5*k(h) - 6*q(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.49, -2\/61, 0?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w - 6. Let b(u) = u - 7. Determine 4*b(l) - 5*q(l).\nAnswer: -6*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5537 + -3955. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8877 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4402 - -4402.1. Which is the smallest value? (a) 5 (b) -3 (c) 87 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -424, -3004, -9706, -22498, -43348, -74224, -117094?\n\"Answer: -328*h**3 - 93*h**2 - 5*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 110\/((-490)\/(-2340) - (-3)\/(-54)). What is the greatest common factor of 1210 and p?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1266700966.\nAnswer: 2, 43, 14729081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y - 12. Suppose -v + 8 = -2*g, 7*v = 3*v + 4*g + 16. Suppose v*n = 5*n - 4*z - 34, -n = -2*z - 8. Determine d(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 29.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 22016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -360*x**3 + 61*x**2 - 42133?\nAnswer: -1080*x**2 + 122*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.63101337 less than -0.6?\nAnswer: -49.23101337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 2 + 1)*(-n + 3*n - 5*n)*(0 + 0 - n**4).\nAnswer: -39*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 46356, 46357, 46358, 46359, 46360, 46361?\n\"Answer: m + 46355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3089040037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -367 + 366.99799. What is m rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10772941*b**2*j**2 + 10*b**2*j + 184*b**2 + 31*b*j**2 - 77*b*j + 9*b - j + 7 wrt j.\nAnswer: -21545882*b**2 + 62*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k - k + 3*k + (-k + 4*k - k)*(1 + 0 - 3) + 0 + k + 0 + k + 0 + 0 - 62 + 8484*k - 40 - 40020*k + 102 + (0*k + k + 0*k)*(0 + 2 - 5).\nAnswer: -31542*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2 + c - 10 - c**2 + 2*c + 5*c. Let p be 1 + 1*6 + -1. List the prime factors of q(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4923 is divided by 524?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(1 - (-8)\/(-10)). Let u = 53.4 + -54. Is n not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 2*o + 3. Let t be (-7 - -9)*(-1 - -38). Let p(z) = -4*z + t + 64 + 3*z**2 - 132. What is -5*c(b) + 2*p(b)?\nAnswer: b**2 + 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29511423 divided by -1.\nAnswer: 29511423","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 7*x**2 + 3*x - 4. Let o(w) = -4*w + 1 + 44389*w**2 - 44390*w**2 + 2*w + w. What is 5*o(n) + y(n)?\nAnswer: 2*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34841860 and 1180.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1211001202202020101 - 2?\nAnswer: 1211001202202020022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 7*u**2 - 1. Let g be l(-1). Suppose g*i + 8 = 8*i. Suppose -k = i*k. Solve k = -j + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0. Suppose -184 = -4*f - w*f. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 2*t. Let s be r(3). Let f be s\/21 - 1320\/(-21). What is the greatest common divisor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000353409694 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 32, 59, 116, 221, 392?\n\"Answer: 3*x**3 - 3*x**2 + 15*x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -619*b - 608*b - 616*b - 3 + 4 + 2477*b - 636*b.\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1960)\/(-210) + (2\/(-8))\/(342\/48 + -7)?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2598 (base 10) to base 15.\nAnswer: b83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.0823559 seconds to weeks.\nAnswer: 0.00011091659375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4330.\nAnswer: 2, 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 4*b + 3. Let t be f(5). Let k(i) = -i**3 + 9*i**2 - 8*i + 3. Let q be k(t). Solve l + 2 = q, 3*l - 15 = -3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 48 = -46. Suppose 0 = q*a - 4*n + n - 857, 3*a - 2*n = 1283. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -1\/3, -18, -3\/2, -15, -3.1, -2\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 536238494 + 26*n - 536238494.\nAnswer: 26*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 136, 536, 1206, 2152, 3380, 4896, 6706?\nAnswer: 8816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4382*p**3 - 1546*p**3 - 1667*p**3 - 1565*p**3.\nAnswer: -396*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 5*b + 102. Let u be y(0). What are the prime factors of (u\/85)\/(9\/1785)?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/11))**26)**(-9\/2) assuming w is positive.\nAnswer: w**(-234\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1468328, 1468321, 1468314, 1468307?\nAnswer: 1468300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 145391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-1 - -5)*0. Let c be ((-80)\/(-20))\/(4 + -3). Solve n = -5*a + c*a + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*b**3 + 5*b**5 + 1267*b**2 + 20*b - 10*b**4 + 1332*b**2 - 2579*b**2.\nAnswer: 5*b*(b - 2)**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1955389273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g - 5*t = -10*g - 247, -t = 3*g - 338. Let f be (-2)\/12 + g\/18. Solve -f = -2*z - y - 0*y, 0 = -5*y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c - 1. Let l be 4*(6\/14)\/(96\/168). What is i(l)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 3*j - 1. Suppose -2*c - 7 = z, 3 + 10 = -2*c - 3*z. Calculate q(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/284511 - 1124102947\/1991577. Let t = i - -557. Find the common denominator of -11\/8 and t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 10*l - 29. Let d be 27*(10\/(-3) + -7 + 10). Let r be n(d). Which is the second smallest value? (a) 0.3 (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -12*a - 168. Calculate n(-11).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34852 by -4.\nAnswer: 8713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**3\/2 - 23*n**2\/2 - 105*n. Let a be u(-10). Solve g + a*g - 32 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 41 = 5*n, -n + 2*n - 10 = b. Solve -5*x = 3*w + 22, 2*w + 3*x = n*w - 20 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/6*3*-1. Which is the closest to 1\/2? (a) n (b) 4 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1313 (base 7) to base 8\nAnswer: -764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4554, 34865, 117154, 277413, 541634, 935809, 1485930?\n\"Answer: 4332*j**3 - 3*j**2 - 4*j + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-6) - (-24)\/36. Let s(q) be the first derivative of -1\/3*q**3 + 0*q**2 + 1\/4*q**4 - y + 0*q. Factor s(p).\nAnswer: p**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 8*f**2 + 8*f - 1. Suppose 6 + 14 = -5*u. Let t be k(u). Solve 5*r + t = 11 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -446*j**3 + 14*j + j - 1420*j**3 - 15*j.\nAnswer: -1866*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -3. Let c = -4 + x. Let h = 3.1 + -3. Which is smaller: c or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 560294 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 180\/24 + 5\/(-6)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-180) - 12\/20.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2165 - 35100?\nAnswer: -37265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/((-1053)\/18))\/((-2)\/(-3))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m = 571*o - 1141*o + 570*o + 11, -5*o + m = -296 for o.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1405*a - 44447 = -179327 for a.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(2\/7))\/c**(1\/4)*c\/(c\/((c\/(c*c*c*c*(c**4\/c)\/c*c*c))\/c)*c)*c\/(c*c**1*c) assuming c is positive.\nAnswer: c**(-295\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30*(-5)\/24)\/((-10)\/24)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2357 - 1507. Let h = k + -808. Which is smaller: h or 44?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100625 and 3864?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(560))\/(sqrt(20)*-2).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + a = -2, -2*w - 29*a + 34*a + 2 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -379 by 2.\nAnswer: -379\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + h + 0*h)*(-66*h**2 - 53*h**2 + 27*h**2).\nAnswer: -276*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 151794 by -34.\nAnswer: -75897\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*10)\/(-11 - (-2 + -7)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43170393 divided by -43170393?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 2\/1*(-1)\/2 - -13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 18052752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -0.1 (b) -4 (c) 39.5 (d) 4.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 530 - 297. Let m = 270 - u. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1.1 (b) -10\/9 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -15*x + 75. Let t be i(3). Is 28 a factor of (672\/t)\/(2\/15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 28960*y - 492317. Determine c(17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 46 = 3*p - 33, p = 5*b - 75. What is the greatest common factor of b and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42190?\nAnswer: 2, 5, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19369, -38736, -58103, -77470?\nAnswer: -96837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17c - 1?\nAnswer: 17b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 1144.89 and 0.0704.\nAnswer: 1144.9604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -176*q**2 + 2*q + 5. Let n(u) = -176*u**2 + 3*u + 6. Let w(k) = 2*n(k) - 3*s(k). Is w(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -87, 2, 4, 3, -6 in decreasing order.\nAnswer: 4, 3, 2, -6, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.63 + -0.17. Let i = -0.8 - o. What is the second biggest value in -2\/5, i, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27011215 by -20635.\nAnswer: -1309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1505)\/86*10\/(-35))\/((-10)\/(-66)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83 by -1607.\nAnswer: 83\/1607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 0.11, 649911, 2\/7, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1407 and 8001?\nAnswer: 536067","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - -28.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p**3 + 3547*p**4 - 3931*p**4 + 2710*p + 1106*p wrt p.\nAnswer: -4608*p**2 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1170992991 to the nearest integer?\nAnswer: 34220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -7 - 18*o**2 - 5 - 7 + o**3 - o - 17*o. Let q be b(19). Solve -3*w + 2*z + 10 = q, -w - 2*w - 2*z = -14 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (-2*1)\/2. Let d = 47 + -45. Sort h, d, -3 in descending order.\nAnswer: d, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 2:00 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkko when four letters picked without replacement from {o: 2, k: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 4*p + 6 = -l, 0 = 4*l + 4*p + 12. What is the units digit of (85 - 3)*(-1)\/l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84, 125, 148, 147, 116, 49, -60, -217?\nAnswer: -428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 1100*u**4 - 2*u**2 + 517*u**4 + 544*u**4 as k*u**4 + a*u**2 + i*u**3 + f + w*u and give k.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*w - 10*w - 4. Let n be (w\/(-6))\/(1\/9). What is the greatest common divisor of n and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiddddiii. Give prob of sequence ddd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61, 119, 155, 157, 113, 11?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 5920, -8, -1.02?\nAnswer: -1.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 1, 5, -4, 11 in decreasing order.\nAnswer: 11, 5, 1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 11 = 4*m, -646 + 667 = -4*m + 5*r for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, j: 4}. Give prob of sequence jzj.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h**2 + 9*h - 8. Let n be u(-7). Let q be ((-4)\/(-5))\/(10\/n). Solve g = -g - q for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 494\/(-198) + (-12)\/(-54) and -99\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 366, 343, 306, 255?\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/554337 and -59\/108102?\nAnswer: 47672982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -62422386 * 8\nAnswer: -499379088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*s - 33, s - 60 = -4*h - h. Let l = h + -11. Suppose 139*v = 186*v. Sort v, 1, 4, l.\nAnswer: v, 1, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 597*u - 13. Let v be -6 - (3 - (12 + 6)). Let y(h) = 299*h - 6. Let t(d) = v*y(d) - 4*l(d). Let p(i) = -2*i. What is p(t(q))?\nAnswer: -606*q + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 91059372 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j**2 + 3*j + 5. Let b(i) = 11*i**2 + 10*i + 15. Let m(d) = 3*b(d) - 8*o(d). Suppose 5 = z + 2, 0 = -2*p - z - 5. Calculate m(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.015627282 - 32330427.984372718. Let c = 32330429.80000104 + l. Let y = -1.8 + c. Round y to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 463 + -453. Let a be 0\/(-8 + -1 + m). Solve a = -4*z - n - 6, 5*n = 3*z - 3 - 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -921926235.00000122 - -921926185. Let u = r - -50. Round u to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = 16*v - 12*v. List the prime factors of v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -696 divided by 6.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence myr when three letters picked without replacement from {y: 1, m: 3, r: 5, u: 3}.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 7*m. Let k(p) be the third derivative of -3*p**5\/10 - 24*p**2 + p. Determine k(l(a)).\nAnswer: -882*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dppapdapm. Give prob of picking 1 p and 1 a.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*s + 1091 = -224 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/7 - (-80)\/(-35). Let q be u - (-2010)\/(-184) - 3. Let x = -27\/23 - q. Find the common denominator of -17\/4 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/15 - (-2 + 2). Let g = -0.04 + 0.34. Let u = -40 + 42. Which is the closest to g? (a) 1 (b) n (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + 21 - 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -8889\/3502 not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1138, -1171, -1272, -1477, -1822, -2343?\nAnswer: -3076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 12 = p. Suppose -103 = -4*i - 0*i - 5*c, p*c + 3 = 0. Let r = 29 - i. Solve -4 = -a - r, 3*k - 6 = -3*a for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5.6 (b) -16376 (c) -2\/93 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {i: 10, k: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 167617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 479 = -608*q - 474*q + 6971 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 6 = -2. Let a(o) = 7*o**2 - o. Let w be a(-1). Let q = w + t. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(88\/(-30)))\/(18 + 9\/(1287\/(-2626))).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 5 (b) 0 (c) 6 (d) -5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -22 (b) 2\/111 (c) 2\/5 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3947, 7909, 11877, 15851?\n\"Answer: 3*l**2 + 3953*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 80*p**3 + p. Let j be r(-1). Let z = j + 85. Suppose -4*b - 3*i = -41, 3*b + i = z*i + 57. Solve 2*c = 2*l + 8, -5*l - 2*c - b = -c for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 2 + 4. Suppose 0 = 4*y + 5*q - 80, 0 = y + x*q - q - 20. Solve -9 = -4*v - 2*z + 11, -4*v - 5*z + y = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11976, -23860, -35694, -47478, -59212, -70896, -82530?\nAnswer: -94114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 2 + 6. Factor 29 + 2*n**u - 29 + 2*n - 4*n**2.\nAnswer: -2*n*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*j**4 + 9*j**2 - 169*j + 1?\nAnswer: 348*j**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53125361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*u + 12 = -4*x, 5 = -x. Suppose 3 = -3*y - 4*w, 6*w - w = -u*y - 3. Calculate the remainder when 9 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 22 = -2*o + 9, 5*o - 81 = -4*a. Let d(h) = 10*h + 11 + 9 - o. What is d(-2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 67.72258 minutes?\nAnswer: 4063354800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-85)\/34*14\/5 - (-39)\/5.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 556, 1825, 4282, 8323, 14344?\nAnswer: 22741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-2) - (1 - 3). Suppose -4*k + 18 = -i + 2*i, 0 = -i - 3*k + 14. Suppose r - i*r = 1. Put r, l, 2 in ascending order.\nAnswer: r, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(6\/10)\/((-77)\/55). What is the smallest value in -5, q, 1\/9, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -1 + 1 - 19*p + 18*p. Let v be (-1 - -1)\/2 + -1. Let k(f) = 10*f + 2. Determine v*k(r) - 12*l(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -67 divided by -1\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 30*p + 0*p**2 + 30 + 5\/3*p**3. Differentiate d(i) with respect to i.\nAnswer: 10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 76. Let b(u) = 188*u. Let k(x) = 1095*x - 1. Let r(l) = -6*b(l) + k(l). What is r(d(g))?\nAnswer: 33*g**2 - 2509","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2846037 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/((y**(-1\/5)*y*y)\/y*y))**(5\/4)\/(((y**(-2\/21)\/y)\/y)\/(y**(-2\/5)\/y)) assuming y is positive.\nAnswer: y**(397\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.016113 to three dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 96? (a) -1 (b) 57 (c) 0.4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, t: 10, q: 4, b: 1, z: 2}. Give prob of picking 2 t.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**2 - 5*h - 5. Suppose -9 = 3*s - 6. Let j(c) = c + 1. Let k(o) = s*x(o) - 5*j(o). Let b(i) = 4*i**2. Give k(b(w)).\nAnswer: 32*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*v - 40295 = 3775. What is the highest common factor of v and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 698153738*g - 242909459.\nAnswer: 698153738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12, -53, -136, -243, -380, -553, -768, -1031?\n\"Answer: -t**3 - 3*t**2 - 49*t + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2281491, -4563114, -6844737, -9126360, -11407983?\n\"Answer: -2281623*m + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaoojaojoaj. Give prob of picking 3 o and 1 j.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2440767 is divided by 5485?\nAnswer: 5427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -484 * 0.8.\nAnswer: -387.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m + 174 = 18*m. What are the prime factors of m?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 263 + -222. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5216, -8487, -11666, -14753, -17748?\n\"Answer: 46*u**2 - 3409*u - 1853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-7)\/14 + (-1)\/((-90)\/348) and 1\/135.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5702214664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*f - 56*f + 1113 = -58*f + 269 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(sqrt(30)\/sqrt(6)) + 5.\nAnswer: sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -561, -550, -539, -528, -517, -506?\nAnswer: -495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**4 - i + 1. Let d(g) = 9*g**4 - 18*g**2 - 12*g + 12. Let v(j) = 12*a(j) - d(j). Find the third derivative of v(p) wrt p.\nAnswer: -504*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*z**3 + 79*z - 36*z**3 - 79*z + 33*z**3.\nAnswer: 32*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 4560549\nAnswer: -1824219.6","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-8))\/(9\/6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -87\/7 + 463\/35. What is the closest to -2 in 0.4, -5\/3, v?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 - 76*r**2 - 1195*r + 1272.\nAnswer: -(r - 1)*(r + 24)*(r + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 4*y + 1. Let v be 51\/(-187)*198\/(-27). Determine c(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130697 to the power of 1\/2, to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.9621 and 32855.\nAnswer: 32852.0379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11220 and 404.\nAnswer: -4532880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 + -36. Suppose q*r - 5*x = -9, 3 = 5*r - 3*x + 2. Solve 0*s + 2*s = -5*l, -3*l + r*s = -16 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*c**6 - 34*c**5*i**3 - 11*c**2*i - 22*c*i**3 wrt c.\nAnswer: -1200*c**3 - 2040*c**2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 652919?\nAnswer: 652923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 26713*o**2 + 4*o - 125. Let j be x(17). Round j to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + (-3)\/(-6)*18. Solve -i*a + 3*a = 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 17 = -3*u. Calculate the remainder when 11 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -335*o - 355*o - 194*o + 859*o.\nAnswer: -25*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 787214596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 3. Let v be c\/(-9)*-4*-3. Suppose -2*h - 9 = -5*l, 4*h + 0 = -v*l - 4. Let w(p) = 2*p + 1. Determine w(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12009\/76448 + -2\/2389. Let m = -19\/288 - s. Which is the closest to 2? (a) -2 (b) m (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 400 divide 651200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*b - 98*b = -30. Let n = 10 + -9. Which is greater: b or n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 563045 - 563047. Let r = 0 - 0. Which is the closest to 70? (a) -3 (b) t (c) r (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (96 - (9 + -4 + 11)) + 4.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81326 and 3286.\nAnswer: 133618618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2300428 + -0.059.\nAnswer: -2300428.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/18 + 2)*3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from uuiuuiumimi.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124 - 101 = -40*d + 15*d for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 k when three letters picked without replacement from lklhkxllhkdlddkkklk.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (49 - 4)\/9 + 2*-1. Solve b*g - 6 = -2*o, 3*o - 6*o + 9 = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 0)*5\/(-5). Let c be (v + 3)*(-21)\/(-9). Let x = 18 - c. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.216 + 0.384. Put 0.5, -1\/9, h in ascending order.\nAnswer: -1\/9, 0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wlofw. Give prob of picking 1 f and 1 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 6, 0 = 3*z + 4*f - 8*f - 883. Calculate the highest common factor of z and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 20 = -s. Put 12, s, 4\/9, 2\/3 in decreasing order.\nAnswer: 12, s, 2\/3, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1883, -3274, -4673, -6080, -7495, -8918?\n\"Answer: -4*w**2 - 1379*w - 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, g: 11, f: 6}. Give prob of sequence fp.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 6:48 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 183975.1 - 1?\nAnswer: 183974.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -40*o. Let b(f) = -6*f. Let v(y) = -5*b(y) + q(y). Determine v(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 1971*c - 9. Suppose 5*f - 20 = -4*b + 5, -f + 4*b = 19. Suppose -3*l = j - 4*j, -3*j + 4*l = -f. Let a be r(j). What is a rounded to the nearest 100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20746761 by 3.\nAnswer: 6915587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-31155)\/(-24) - (-7)\/(-56). Calculate the highest common factor of 472 and b.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -0*u + 96. Suppose 5*h - 2*k = -430, 0 = 5*h - 2*h + k + 269. Let l = 152 + h. Calculate the highest common factor of u and l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 7*j**2 - 7*j - 8. Let w be i(-6). Let u be (-3)\/(-1)*w\/(-3). Suppose u*p - 48 = -2*p. Solve 5*x + 24 = -2*y, 2*x + p = -4*y - 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 472 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 1580*b + 63220. What is l(-40)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.05 (b) -5 (c) 1\/26 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 7. Let j(a) = a**2 + a + 5. What is -4*j(m) + 3*o(m)?\nAnswer: -m**2 - 4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = -3*w + u, -6*w - 4*u + 232 = -9*w. Suppose -6*l = 188 + 250. Is w greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - s - 1. Let k = -2825 + 2831. Let l(b) = -13*b**3 - 6*b**2 - 6*b - 6. Calculate k*v(p) - l(p).\nAnswer: 13*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377)*-4 - (sqrt(17)*4 + 3))**2.\nAnswer: 240*sqrt(17) + 27209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 9971.\nAnswer: -1994.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -723*q - 723. Let v be w(-1). Let s(a) = 67*a + 10. What is s(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -23*c**3 + 28*c**2 + 191*c + 39. What is the hundreds digit of u(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (11\/3 + -1)*-3. Let r be 0 - (17 - (-1 + 0)). List the prime factors of 3*i\/r*6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 3 - 2)*(1 + 0 - 6)*(-6 - 1 + 2)*(-c + 5*c - 2*c) to s + d*c and give d.\nAnswer: -650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 4*j = -11, -20*p - 5*j = -25*p + 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 463*n + 75658. Determine r(591).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*r + 13*r - 64*r + (-1 - 3 + 6)*(-4 + r + 4) + (-3 + 2 - 1)*(3*r + 0*r - r) as i*r + u and give i.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*o**2 - 4536*o + 11961.\nAnswer: -4*o - 4536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -618.8325 from -471.7378.\nAnswer: 147.0947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 415897 and -26?\nAnswer: -10813322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39 + -46 - -31) + 44.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 36.45657?\nAnswer: 36.45657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1800 and 276975?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7609 is divided by 2528?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is cd71 (base 15) in base 2?\nAnswer: 1010101000001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = 13*b - 6. Let p(h) = 7*h + 4. Let x be p(4). Suppose -3*y - 2*i = -x, y + 2 = 2*i + 10. Solve -6*t + 2*t + y = -3*r, 2*r = -b*t - 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1123 + 138656?\nAnswer: 139779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47026, 47027, 47028, 47029?\nAnswer: 47030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.13835 to two decimal places.\nAnswer: 3.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 - 25. What is the tens digit of (-645)\/(-6)*(0 + w\/20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 0*d + d**2 - 1\/140*d**6 + 3\/56*d**4 - 1\/14*d**3 - 1\/784*d**8 + 0 + 3\/490*d**7 - 1\/70*d**5. Find c, given that w(c) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38\/441 + 17756\/209475. Which is smaller: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + -4 + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 123775800 rounded to the nearest 1000000?\nAnswer: 124000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -3e8dfb?\nAnswer: -3e8dfe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 - 316 = -2*d + 2*r, -532 = -4*d + 5*r. Is d a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150) + sqrt(150) + 5*sqrt(150)*-3 + sqrt(150) + sqrt(150) + sqrt(150)*-2*3)\/(6*(sqrt(3) + sqrt(576)\/sqrt(12) + sqrt(48))).\nAnswer: -85*sqrt(2)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9188647*l**3*w**2 - 5*l**3*w + 9*l**3 - 3152*l*w + 9*w - 1 wrt w.\nAnswer: -18377294*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, l: 6}. Give prob of picking 2 l.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -180185 * -0.4.\nAnswer: 72074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-100)\/14 + (-3)\/(-21). Let c = x - -4. Which is bigger: -2 or c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -0.01 (c) -1051 (d) -3 (e) 4 (f) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.8, 0.04, -646\/675 in ascending order.\nAnswer: -1.8, -646\/675, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58 + -57.9971. Round y to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - 31. Let j be 2 - (1 + (u - 0)). Suppose -4*w + j = -39. What is the smallest common multiple of w and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*d + 166 + 20 = 0. Solve 2*j + 10 = 0, d*t + 2*j + 4 = 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 165240021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -6 + y - 1 + 7. Let t(d) be the second derivative of -d**5\/30 + d**2 + 2*d. Let j(x) be the first derivative of t(x). What is v(j(l))?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1580386.\nAnswer: 2, 41, 19273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1185)\/316)\/(((-1)\/4)\/((-26)\/(-26)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1817 is divided by 756?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -6578.\nAnswer: -6\/3289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - 2) + 11 + -4\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 4958017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-102 - 7*r + 102)*(2 - 1 + 1) + r + 3*r - r)*(-5*r + 2*r + 0*r).\nAnswer: 33*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -263\/25 + 53\/5. Let i = 168 - 170. Which is greater: g or i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58 and 522.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t - 4. Let y be g(-8). Let d = y - -18. Which is bigger: 7 or d?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 37? (a) 4 (b) 0.3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 478556 divided by 26.\nAnswer: 18406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81594 - 47184 = 1818*f + 281658 for f.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 6*b + 16*b + 2*b + (2 - 2 - 2)*(-b + b - 2*b) + 3*b - 3*b - b - 9*b + 5*b + 21 + 7*b to the form p + v*b and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 155176566*w**3 - 2*w**2 + 2*w - 611975?\nAnswer: 931059396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26997 + -6522. Is f\/42 - 2\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 563.2373t in kilograms?\nAnswer: 563237.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 0. Let n = 1 - b. Let d = n - 2.134. Round d to two dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c + 5*c - 1932 + 1566*c**2 - 346*c**2 wrt c?\nAnswer: 2440","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -4. Suppose -3*o + 3*r + 129 = p, 0 = -o - 2*r + 6*r + 28. Suppose 4*k - 13 - o = u, -u + 3 = 0. What is the highest common factor of 112 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4023700 rounded to the nearest ten thousand?\nAnswer: 4020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 8:41 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-2) + (-304)\/80?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 5, -40, 23, 149, 0 in increasing order.\nAnswer: -40, -2, 0, 2, 5, 23, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18611 is divided by 406.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.049664 take away 2486476563?\nAnswer: -2486476562.950336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3599147?\nAnswer: 3599147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 831 and 804270291?\nAnswer: 804269460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 30*y**2 - 40*y. Let u(t) be the first derivative of t**4\/4 + 17. Let i(q) = -j(q) + 6*u(q). What is a in i(a) = 0?\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 524 + 181 = 91*x + 341 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -6*l - r + 56, -4*l + 76 = 2*r. Let v = l + -18. Suppose v = 2*z - 6*z + 100. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 10 - 2*b**2 + 14 - 24. Let n(s) be the first derivative of -s**6\/360 - 11*s**3\/3 - 7. Let t(m) be the third derivative of n(m). Determine y(t(r)).\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*c + 40 + 146, 4*c + 368 = 4*x. Let k = c - -101. Solve -2*t - k + 1 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3\/5*r**3 - 216\/5*r**2 + 5184\/5*r - 41472\/5 = 0?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 9 = 4*n, -4 + 1 = -2*a + 5*n for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-836)\/(-8))\/19.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 1) + 2 + 0 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -36, -74, -132, -216?\nAnswer: -332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aqffffquflaffafquaf. What is prob of sequence lfu?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 1) + 6 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 - 6 - (-6)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 6292*p + 75. Is w(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5686.016 and 0.1.\nAnswer: 5686.116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 33 - ((10 - 21) + 0 + 11 - 4)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 4 - (9 - 1) - -3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -53\/2? (a) 15 (b) 2 (c) -3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000499916 to 6 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 366332, 732665, 1098998, 1465331?\nAnswer: 1831664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -294 + 835. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125)*4*1 - sqrt(125)*1*-4.\nAnswer: 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -403, -874, -1347, -1822, -2299?\nAnswer: -2778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 107 + -1?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 642527*p**6 + 391958*p**2 wrt p.\nAnswer: 77103240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 5*h + 4. Let m(u) = -u**2 - 12*u - 15. Let v be m(-10). Suppose -w - w + 6 = 0. Suppose -w*n = -2*n - v. Give t(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 12*v**2. Let d(k) = -24*k + 9. Let s(f) = -13*f + 5. Let p(t) = 5*d(t) - 9*s(t). Calculate p(m(x)).\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 501782560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2045 equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, a: 2, t: 2, g: 2, k: 1, i: 4}. Give prob of sequence ika.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of 3*b**5\/10 - 42*b**2. Let x(y) = 10*y - 3*y - 9*y. What is d(x(l))?\nAnswer: 72*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 9:23 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -4*a - 22, 272*a + 10 = 272*a + 5*v for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, q: 2, l: 2, i: 3, f: 1}. What is prob of sequence yy?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1209 and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -86711 in decreasing order.\nAnswer: 5, -3, -86711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 3:18 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8750)\/(-75)*(-2 - 39614\/(-7)). What is p rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + n - 3 = -2*n, 4*a + n + 4 = 0. Is a smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 47860*n + 30398?\nAnswer: 47860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 913244\/75 - 12176. Let q = -694\/55 - -127\/11. Find the common denominator of q and j.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f - 10*f - f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2477, 19771, 66699, 158075, 308713, 533427?\n\"Answer: 2469*v**3 + 3*v**2 + 2*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -151.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 85\/25401?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -6, 20.\nAnswer: -6, -1, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*p - 58, -5*n = 2*p - 4*p + 56. What is the remainder when 116 is divided by (p\/(-3))\/(2\/(-10))?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 210*f + 267. Give o(-1).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**2 - 5*h + 7. Does 10 divide z(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.00941 to 1 decimal place.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7215, -7215, -7213, -7209?\n\"Answer: m**2 - 3*m - 7213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 4:30 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 782 + 30 = 0. What is the least common multiple of 6 and n?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 15*h**2 - 33*h - 17. Let j(v) = -7*v**2 + 16*v + 8. Let d(a) = 13*j(a) + 6*w(a). Let s be d(8). What is the tens digit of s*(125\/10)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*w - 537 = 1029 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 3065 = 635. Suppose -25*u = -20*u - 70. What is the lowest common multiple of l and u?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (63\/9 - 8)*(-1)\/11. What is the second biggest value in x, -1, -14?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.02 or -0.41?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**4 - 550*i**3 - 1605*i**2.\nAnswer: -5*i**2*(i + 3)*(i + 107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -2*g**3\/3 + 13*g**2 - 12*g. Let u be k(6). Let m be 18\/(-12) - (-15)\/u. Solve -d - 7 = -m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74, -5, -41, 10, -48, -17 in ascending order.\nAnswer: -74, -48, -41, -17, -5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 smaller than -1\/351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 25712 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: Simplify z**(-17)\/(z**(-1\/3)*z\/(z**2*z))*(z*z*z**(-5)*z\/((z*z\/z**(-3\/5))\/z)*z)\/(z*z**2*z*z**(-2\/3)) assuming z is positive.\nAnswer: z**(-103\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(4\/3)*l*l)\/l*l**30)\/(((l\/(l*((l*l*l\/((l**20\/l)\/l)*l)\/l)\/l))\/l)\/l**(-6\/17)) assuming l is positive.\nAnswer: l**(866\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - d**2 - d. Suppose 4*b = 0, 0 = 3*t - 2*t - b. Let l be f(t). Solve l*q = -3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppqqqqvqp. What is prob of sequence qpp?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/12 + 0)*-7831. Let s = q - 1300. What is the common denominator of s and -81\/50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, 34, 329, 918, 1903?\nAnswer: 3386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l + 1. Let k be f(2). Let d = -312 - -308. What is the nearest to 1 in k, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8577 + 8581. Which is the nearest to -0.66? (a) x (b) -0.03 (c) 1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3754579.15 rounded to the nearest 100000?\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5*q - 2 = 0, -w + q - 5*q - 5 = 0. Let u = w - 6. Let i(x) = -9*x + 3. Is 15 a factor of i(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4882133?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 15 + 0 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*t + 2 = 102*t. Is (-599 + (3 - t))*7\/(-21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 1. Let r be (b\/4)\/(6\/4). Let h = -2220142 - -2220143. What is the third biggest value in r, -0.24, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17\/5*u - u**2 - 6\/5 = 0. What is u?\nAnswer: 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2 = h - 5, 5*h - 4*w - 37 = 0. Let l be (-1)\/(((-6)\/21)\/(-2)). Let o = h + l. Solve -3*v + o*k + 14 = -v, -5*k = -2*v + 29 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6732138ml in litres?\nAnswer: 0.0006732138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 17*v + 248. What is j(-12)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 1712.17 (c) 1\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - f - 20 = 3*f, 1319 = 427*s + 4*f - 95 - 266 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 10:10 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 356 - -2929. Suppose -5*x - 4*l = -10970, l - 1518 - 675 = -x. Let y = b - x. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40*n**2*q**2 - 16*n**2*q + 3*n**2 - 17*q**2 - 176063 with respect to q.\nAnswer: -80*n**2*q - 16*n**2 - 34*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + 4*f - 26, -u - 109 = 5*f - 145 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2332.\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 16 and -1097.\nAnswer: -1081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-48)\/10*10\/(-3). Suppose -4*v + 5 = -2*j + 19, -5*v = -4*j + l. Which is smaller: j or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3158, 3160, 3166, 3176, 3190?\n\"Answer: 2*y**2 - 4*y + 3160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*n - 360 + 785 + 208*n - 425.\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4682 and 15132.\nAnswer: 35424012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 18 - 6 + 10*g - 14.\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4256 is divided by 472?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y - 4. Let z(o) = -45. Let b(n) = 45*l(n) - 4*z(n). Let c(w) = w. Give c(b(x)).\nAnswer: 45*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c - 13 + 13. Let j(v) = 3*v. Give j(z(l)).\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 3, -0.2, -76?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 22941 = 5*f, -2*p = 3*p + 10. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3606 and 44674734.\nAnswer: 3606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 2077?\nAnswer: 8308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(18)\/sqrt(6) + -1)**2.\nAnswer: -20 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 9*k**2 + 31*k + 182. Calculate f(-18).\nAnswer: 2540","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4306 + -40154?\nAnswer: -32545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 546.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (92 - 2) + (-779 - -748).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**2)**(2\/155))**(2\/77)\/((l*l**(2\/7))\/l**0)**(2\/7) assuming l is positive.\nAnswer: l**(-30634\/83545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*a = 95*a + 5*a - 612 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4\/5)\/(n**(1\/5)*n)*(((n*n*(n\/(n\/n**(1\/2))*n)\/n)\/n*n)\/n*n)**(1\/26))**20 assuming n is positive.\nAnswer: n**(-495\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (-2 - -7) - -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -6*p - 4. Calculate the least common multiple of m(-1) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 3\/5, -13 in descending order.\nAnswer: 3\/5, 0.5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131, -533, -1207, -2153, -3371?\nAnswer: -4861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**2 + r**3 - 2*r**3 + 0*r - 2*r in the form y*r**3 + m*r**2 + a*r + c and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 7*k + 5. Let r be z(-6). Let l be ((-1)\/(-1))\/r - 0. Is (1 + 12\/(-1))*l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(32\/(-3000052))*2. Let j = -1369613 - i. Round j to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 19620.\nAnswer: 19620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -154 - -154. Put 0.4, 2\/23, d in descending order.\nAnswer: 0.4, 2\/23, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 5:27 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**4 + l**3 - 3*l**2 - 5*l + 2. Let f(i) = -15*i**4 - 15*i**3 + 48*i**2 + 81*i - 33. Let w(c) = 2*f(c) + 33*n(c). Let w(s) = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 32 = -2*c + 4*a, 0 = 4*a + 20. Solve 2*b = b + c for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1812.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 613185205?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-32))\/(10\/(-240))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5657, 10421, 14839, 18737, 21941?\n\"Answer: -29*y**3 + y**2 + 4964*y + 721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6 - 0.4. Let i = -0.3 + 0.1. Is i <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4558 and 106.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -85\nAnswer: -425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixteenths of a centimeter in micrometers?\nAnswer: 4375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40423652 + -5?\nAnswer: -40423660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 10:10 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1210010001202 - 1022?\nAnswer: 1210010000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54.9 + -55. Suppose -3*w + 2*o = o, 3*w - 5*o = 0. Let p be -1 + (w - 1)*1. Sort t, -0.4, p in descending order.\nAnswer: t, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xo when two letters picked without replacement from {o: 6, x: 3, r: 4, k: 4}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1864299477?\nAnswer: 3, 23, 73, 370121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4*t + 24. Let p(z) = z - 1. Let w(s) = 8*s - 4. Let c(x) = -x - 1. Let m(a) = 3*c(a) + w(a). Let r(j) = -m(j) + 6*p(j). What is r(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bwbdggggnbgig. What is prob of picking 3 b and 1 d?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 3*s + 7, -4*k + 7 = -3*k + 2*s. Let z = -34.55 - -29.55. What is the smallest value in 2\/21, z, k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2968 and 75313.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 9*b**2 + b - 7. Calculate t(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -4, -0.2, 3\/4.\nAnswer: -4, -0.2, 0.3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21776.25mm?\nAnswer: 21776250000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-18))\/(2\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2054 + -16399\/8. Let k = 8 - 6. Calculate the common denominator of k\/(-5)*(-580)\/16 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 62753.26 seconds?\nAnswer: 62753260000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-116)\/(-60))\/((-10)\/(-150)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25994 is divided by 113.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*2\/12)\/(7\/63).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-3)*(3 + -9). Let k(y) = 0*y**2 + 0*y**2 + m*y**2 - 3*y**2. Let h(a) = 5*a. Give h(k(x)).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -9 and 227 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.99 + 4.98997805. Round z to 7 dps.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2045767501 - 5.42.\nAnswer: 2045767495.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 346*f**2*m**2 + 236*f**2*m - 2*f**2 - 5*f*m - 2*m**3 wrt m.\nAnswer: 692*f**2 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -107.249 minus -3?\nAnswer: -104.249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2426210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1432 - 1428. Let a be 8 + -3*(-4)\/(-6). Solve -4*u = 4*q + z, -2*q + 2 - a = u for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 0 + 13\/2*l**2 + 5\/2*l**3 - 1\/12*l**4 - 4*l. Is p(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15\/1)\/(6\/8). Suppose -2*m - u + 2*u = -w, -3*m - 3*u = -12. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 s, and 1 z when three letters picked without replacement from {w: 1, s: 1, u: 2, z: 8, e: 8}.\nAnswer: 16\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 4:31 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(342) + (sqrt(342) + sqrt(342) + -1*sqrt(342))*4 + sqrt(342) + sqrt(342))\/(-5*sqrt(27)\/sqrt(3)))\/(sqrt(6)\/sqrt(3)*1*2*6) + -1.\nAnswer: -1 - 7*sqrt(19)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3254.32 millilitres?\nAnswer: 3.25432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.7280312 rounded to 2 dps?\nAnswer: 20.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -451850 - 142*l + 451850.\nAnswer: -142*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 42434198 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236 divided by 236.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + j - 284. Let g be y(0). Let o = -137 - g. Suppose 0 = 4*f - 133 - o. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0198416 and 0.3.\nAnswer: -0.00595248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 349760 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 185241850 and 860?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*t - h, h = 5*t + 6*h - 50. Let c = t + -11. Let u be (-1 - c - 2)\/(-1). Are -1\/3 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 6*r**2 - 3*r + 6. Determine h(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1113 and 41817?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17*t**4 - 49474*t**3 + 3*t + 51568006?\nAnswer: 68*t**3 - 148422*t**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 58*r + 106. Let z(o) = -29*o - 54. Let u(s) = 4*y(s) + 9*z(s). What is the tens digit of u(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.06, 1.489, 0, -22?\nAnswer: 1.489","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -72*p. Let q(v) = -518*v**2 - 70*v. Let m(f) = -15*f**2 - 2*f. Let d(s) = 210*m(s) - 6*q(s). What is u(d(y))?\nAnswer: 3024*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3246*o**3 + 54494*o**2 + 119*o - 706425?\nAnswer: -19476*o + 108988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67655 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*s = 4. Let o(i) = 8*i**2 - 3*i + 3. Let f be o(s). Suppose -9*z + 21 = -f*z. What is the lowest common multiple of z and 27?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4*z - 4*z - 2*z)*(2 + 1 - 4) + 2*z + 5 - 5)*(-5*z**2 - 5 + 5) as y*z**3 + q*z**2 + x + s*z and give y.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/5)\/k**1)**(4\/25) assuming k is positive.\nAnswer: k**(-12\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*b**5 - 2*b**4 - 17905*b**2 - b + 1620276 wrt b.\nAnswer: -440*b**3 - 24*b**2 - 35810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbblbbblb. What is prob of picking 1 l and 3 b?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/7)\/i*i**(-2\/5))\/((i*i*i\/(i\/(i*i\/(i\/(i**(-1\/4)\/i))*i)))\/((i*i*i*i*i**(-17\/6)*i)\/i)) assuming i is positive.\nAnswer: i**(-1193\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -357066.\nAnswer: 1785330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523 is divided by 131?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5389 + 5388. What is the third smallest value in 4, 0, f, -12\/19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -5 - (-4 + 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30\/14 - (-7)\/(-147)*3. Suppose -2*x = -2*w + 2596, 2*w - 5*x + h*x - 2596 = 0. Suppose -5 = 5*d, 3*d - 3235 = -4*v - w. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - -0.2. Let k be (-2)\/3 + 32\/39. Let y = 3.3 - 2.8. What is the nearest to g in k, 1, y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 279 - 555\/2. Determine h so that 0 - 3\/2*h**4 + t*h**2 + 9\/2*h**3 - 9\/2*h = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -24. Let i = -47 - -58. Let w = z + i. Solve 0 = -w*n - 5*k + 11, 6*n - 1 = n - 2*k for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 73*f**5 + 1668*f**4 - 9*f**3 - f**2 + 104511*f - 24 wrt f?\nAnswer: 4380*f**2 + 40032*f - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1050 and 269825.\nAnswer: 11332650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 32011\/63 + 70\/(-63) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 6 - 28*h - 5.\nAnswer: -28*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 421909*s**4 - 4*s**2 - 956 wrt s?\nAnswer: 10125816*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -240140*x**3 - 2043967*x wrt x?\nAnswer: -1440840*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w + 9. Let k(q) be the first derivative of -5*q**2\/2 - 26*q + 13. Let n(t) = -3*k(t) - 8*o(t). Give n(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 24, 5, -32, -93, -184, -311, -480?\nAnswer: -697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q + 7*q + 45 + 48*q**2.\nAnswer: 48*q**2 + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**5\/60 - 179*x**4\/24 - 1148*x**3 - 8654*x**2. Differentiate k(s) wrt s.\nAnswer: 2*s - 179","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 44 + 12. Let l be 278\/8 - 21\/k. Does 11 divide 0 + (-1 - 2) + l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14409103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7125010?\nAnswer: 2, 5, 29, 79, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkeekee. Give prob of sequence kee.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2998 divided by 2267.\nAnswer: -2998\/2267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.093224 times 0.39?\nAnswer: -0.03635736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*i - 28 = 58*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -407, -395, -383?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 20 - (-106 - -71)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (4 - 0) + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2947)\/804 - 99\/(-27))*12.\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -67 (b) 5 (c) 1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 5*i - 5, -4*i - i + 4*m = -32. Suppose n + i*n - 15 = 0. Let d(h) = h + 2 + n - 5. Let x(l) = -9*l**2. Determine x(d(s)).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*c*l**4 + 2*c*l**2 - 309810801*c + 197*l**2 - 99*l wrt l?\nAnswer: 20*c*l**3 + 4*c*l + 394*l - 99","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -1637*j - 1. Let a(h) = 23*h**2. Give g(a(l)).\nAnswer: -37651*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1389 by 463.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-36)\/(2\/((-8)\/3)). Let q be 44\/b + (-3)\/12. Factor 2\/3*r**2 - 2\/3*r**3 + 2\/3*r - q.\nAnswer: -2*(r - 1)**2*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 411 + -220. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 11 - (24 + -38 + 14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1754358762 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9981 and 102049071?\nAnswer: 3327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4.1 (b) 2 (c) -1 (d) -2\/11 (e) 3 (f) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-4 - -2) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b - 36*b**2 + 2*b.\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39\/58 + -293\/522. Calculate the common denominator of p and 1\/2 + (-25)\/45.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41.01 - -41. Sort -2, -5, m, -2\/5 in descending order.\nAnswer: m, -2\/5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s**3 - 12*s**2 - 32*s - 20. Determine k(-3).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(19) + -3))**2 + (sqrt(19) - (sqrt(95)\/sqrt(5) + 0)).\nAnswer: -150*sqrt(19) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 1. Let d(t) = -9*t**2 - t + 8. Calculate -24*a(m) + 3*d(m).\nAnswer: -3*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 19054*l + 22 = -19055*l, 28*k = -4*l + 132 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 166057301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -5*o - 9, -3*k + 5*o = 2*o - 9 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1842208*w**3 + 1096741?\nAnswer: 5526624*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -34344771785 + 2?\nAnswer: -34344771783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 6*j + 5*v + 5 = 0, 3*j = 4*v + 11. Let l(k) = 21*k**3 + k**2 - 1. Let r be l(1). Suppose 6 = j*z + r. Let i(x) = -2*x + 2. Calculate i(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/9)\/(10\/(-48))*(6705\/(-596))\/(-9)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*w**4 + 2*w**3 - 3*w**2 - 4*w + 9105 wrt w?\nAnswer: 516*w**2 + 12*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3148392l?\nAnswer: 314.8392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-26)\/42 + 11\/924*28. Which is the closest to 0? (a) 7 (b) t (c) -0.1 (d) 2\/31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2226*j**2 - 8904*j + 6. Calculate y(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11.8 - -2.8. Let i = y + 4. Let n = 51 - 201\/4. Which is the closest to i? (a) -2\/17 (b) n (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 8. Suppose -4*h - 4*s = -6*s - 8, d = -s. Suppose 0 = 66*r - 417 + 21. Solve x + h - r = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 11, r: 5}. Give prob of sequence rrr.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1*5*(-7)\/980*4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaoaao. What is prob of picking 1 a and 1 o?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 121846442?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4728 + 26102. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -276 - -276.4. What is the closest to 7 in 2, z, 2\/19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/30 of a minute?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5761*v**5 + 5830*v**5 - 8430*v**2 + 2601*v**2 wrt v.\nAnswer: 4140*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 43*a**3 - 35*a**3 - 2*a - 10*a**3 - a**4 + 18*a**2 + 0*a in the form i*a + g*a**3 + l*a**2 + y + m*a**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 565*a - 582*a + 17 = 0. Factor 169*b**2 - b**4 - 14*b**3 - 216*b**2 - 1 - 14*b + a + 4*b**4.\nAnswer: b*(b - 7)*(b + 2)*(3*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**4 - 20*t**3 - 48*t**2 + 144*t.\nAnswer: 4*t*(t - 6)*(t - 2)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*b**6 - 21*b**5 + 6*b**2 + 13*b wrt b?\nAnswer: -720*b**3 - 1260*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 8, j: 5, m: 1, k: 5}.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8673 divided by 177.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 9*i + 97056 = 0. Suppose -7*o + 23*o - i = 0. Is 27 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -386 + 151. Let m = o + 401. Let w = m - 107. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80 (base 10) to base 7\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 21. What are the prime factors of (-7)\/(-1) + -5 + c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y + 55. Let d be g(-21). Suppose m - d = 22. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 2. Let j be 98 + m\/(-2) + 2. Let c be 6 + 2 + 3 + 0. Calculate the highest common factor of j and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 9*f + 22. Let q(t) = 9*t + 16. Let s(a) = -5*q(a) + 6*v(a). Give s(-8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -10*y**2 + 2*y + 11\/6*y**4 - 13\/2*y**3 + 39\/20*y**5 - 1\/15*y**6 + 30. Suppose p(i) = 0. Calculate i.\nAnswer: -1, -1\/2, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is aca - -a24?\nAnswer: 1710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4062 divided by -2.\nAnswer: 2031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = -7*b + 6. Let v be (13 - 1)*(-27)\/b. Calculate the highest common divisor of 27 and v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 650 = 5*w. Let y = w + -120. Suppose 11*p - 221 = y*p. Is 13 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 592252*k**2*m**3 - 15*k**2*m + k**2 - k*m + 3*m + 2102 wrt m?\nAnswer: 3553512*k**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*b - 668198 = -12251*b + 425258 for b.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(396)*4 + -4 + sqrt(88)\/sqrt(8) - (-3*(sqrt(704) + -1) + sqrt(704) + (5 + sqrt(704) + -1)**2 + sqrt(704))).\nAnswer: -1454 - 62*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32351154 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2. Let f(g) = 7330*g. Give f(c(n)).\nAnswer: -7330*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5084.\nAnswer: 2, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (59 - 38) + 7 + -143 - 2\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -299*y + 3 - 3 + 248*y in the form t + m*y and give m.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2265417 to the nearest integer?\nAnswer: 1505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/13 + (18\/5)\/(2314\/(-1335)). Let a = 2 + -5. Sort a, f, -6, -1.\nAnswer: -6, a, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*t = -5*t - 59955 + 60307 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 4 = -10*o + 8*o, -3*o + 6 = 5*p for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0*(-6)\/12)\/((-10)\/(-5)). Let w be -1 - (0 + -1 + -2). Suppose -v + w*h - 2 = -h, h + 1 = 2*v. Sort -4, a, v in decreasing order.\nAnswer: v, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -74 - -141. Let c = r + -66. Let l = 29\/70 - -1\/70. Which is greater: c or l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a meter in millimeters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 6253*w + 712. Is c(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25.87 + -5\nAnswer: -30.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -14*v**2 + 17*v + 11. Let d = 15 - 13. Let g(t) = 1 + d - 6*t + 5*t**2 - 3 - 4. Determine 11*g(l) + 4*u(l).\nAnswer: -l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 11:10 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.32 - -0.3. Let n be (-82)\/492*9\/6. What is the second biggest value in n, -0.1, -0.3, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (173 + 589 + 420 + 97 + 1909)*(o**2 - 1 + 1 + (-o + 2*o + 0*o)*(4*o + 11 - 11)) to g + f*o**2 + w*o and give f.\nAnswer: 15940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -114306 divided by -1?\nAnswer: 114306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**3 + 2*h**3 - 6*h**3 + (2*h - 2 + 2)*(-2*h**2 + 2*h**2 - h**2) + (-4*h**3 - h**3 + 4*h**3)*(1 - 26 - 33) as o + v*h + x*h**2 + a*h**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 2*v**2 - v - 6. Let n(o) = -3*o**3 + 7*o**2 + 4*o + 17. Let g(r) = -11*i(r) - 4*n(r). Let d be g(7). Suppose -d = l - 35. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6010 and 247572935.\nAnswer: 3005","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2280 - -5048. Suppose -4*i + 4*s + j = 0, s = -3*i + 2*s + 2076. Does 66 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*j - 620 - 21*j**4 - j + 55 + 3*j + 46 with respect to j.\nAnswer: -84*j**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 379830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1552421015?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -183*s**4 - 270*s**4 + 271*s**4 + (-2*s**2 - s**2 + s**2)*(3*s - s + 0*s)*(-3*s + 0*s + s).\nAnswer: -174*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 48538b - 4?\nAnswer: 485387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -320213220 (base 4) to base 3.\nAnswer: -102210010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 341*x**2 + 218*x wrt x.\nAnswer: 682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*a + 15*a - 2*a - 2*a.\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -3, -32.\nAnswer: -32, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2 = 6. Suppose 0 = s*g + g - 66. What is the greatest common divisor of g and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55*l**2 + 18135*l - 4950.\nAnswer: 5*(l + 330)*(11*l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 5*f - 3*s - 33771, 0 = 4*f + 2*s + 45022. Let g = 18875 + f. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -23 (b) -2\/9 (c) -6 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1615 and -13.79.\nAnswer: 22270.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 436629 is divided by 470?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i**2 - 26*i + 6. Let g be x(-9). What is the common denominator of -139\/6 and 2\/2*41\/g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113719, 113675, 113631, 113587, 113543?\nAnswer: 113499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(90)\/sqrt(2) + sqrt(45) - sqrt(45)*2*2)\/(1*(-4*sqrt(45)\/sqrt(5) - sqrt(9))))**2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2096 + 2244. What is z rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -1295*s + 5187. Determine n(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(1\/((-3)\/6)). Suppose 6 = -3*c + 6*z - 3*z, 2*z = -5*c - 31. Let l be (10\/22)\/c*1. Which is greater: p or l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-7 - ((-708)\/34 - (25 + -39)))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552376 is divided by 889.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 - 23. Suppose -l*n = -87 - 42. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/36 and (14\/(-40))\/(3\/33).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 15, -93 = 4*i + 3*z - 0*z. Let y = 24 + i. Solve y*b + b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -263 = -285297\/1087?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 + 4816*z**2 - 316416*z.\nAnswer: 2*z*(z - 64)*(z + 2472)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 2)\/(-2)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from waavaaaaaaaaaaaa. What is prob of picking 1 w and 1 v?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - d + 2*d)*(2 + 10 + 5).\nAnswer: -17*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40224 - 20006. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 3*s + 3 = -0*w, -3*s + 3 = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3465378*n. Let j(d) = -23*d. Give j(s(h)).\nAnswer: 79703694*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 20 - (-7 + 4) - (-53 - 2).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 7*z**2 - 10*z + 2. Let b be d(-7). Suppose 0*j - b = 4*j. Does 19 divide (-2615)\/(-30) + 3\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -18 + 8*y**2 + 29 - 6*y**4 - 10. Find the second derivative of z(r) wrt r.\nAnswer: -144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -72, -67, -58, -45?\n\"Answer: 2*w**2 - w - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/i**(-1\/4)))**23\/(i**0*i)**(24\/7) assuming i is positive.\nAnswer: i**(-901\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 41160\/50*(-70)\/(-3). What is the hundreds digit of (l\/12)\/7*(-6)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 + 3709. List the prime factors of l.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -172503, -172506, -172509, -172512, -172515?\n\"Answer: -3*g - 172500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.301 - -15.353. Let d = 16.5 - 1.5. Let y = d - z. Round y to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1815622218 from -0.1.\nAnswer: 1815622217.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c + 2. Suppose -6 = 509*h - 506*h. Let w(x) = 9*x - 21. Give h*w(p) - 21*q(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d - 4. Let j be b(-2). Let o(x) = x**2 + 7*x + 10. Let r be o(j). Let z be (-63)\/12 - 2\/(-8). Put r, -4, z in descending order.\nAnswer: r, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z + 25*z - 17917 = 0. Let j = 440 - z. Solve f + y = -1 + j, -16 = 4*f - 2*y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1287*t + 144*t + 5187*t + 489732 = 0 for t.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9338.82nm in kilometers?\nAnswer: 0.00000000933882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**5 + 48*d**4 - 246*d**3 + 480*d**2 - 399*d + 120.\nAnswer: -3*(d - 8)*(d - 5)*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 8:26 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -798 = -8*b + 2*b. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 86 - -7. Let j = m + -92.97. Which is the closest to 0.2? (a) j (b) -1 (c) 1\/5 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - k = 98. Suppose -k = -3*q - 5*o + 8, 5*q + 2*o = 76. Let w(j) = -j**3 + j**2 + 8. What is the remainder when q is divided by w(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7684*r = 1480*r - 409375 - 62129 for r.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*d + 451542 - 163596. List the prime factors of d.\nAnswer: 3, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6145*x = 6135*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/4)\/((-6)\/(-32)). Suppose 3 = -3*u + i. Solve -u*p + 4*q = -9, -17 = 2*p + 4*q + q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -433913, -867872, -1301833, -1735796, -2169761, -2603728?\nAnswer: -3037697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 8:47 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16, 165, 552, 1297, 2520?\n\"Answer: 20*c**3 - c**2 + 12*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v. Let d be 26\/6 + (-3)\/9. Does 12 divide u(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 64691 - 183191. What is q rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7446 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/71?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaabuaaaabaua. What is prob of sequence bu?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2433 - 14593\/6. Calculate the common denominator of 634\/132 - (-4)\/(-6) and j.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -165, -409, -653, -897, -1141?\nAnswer: -1385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 69300378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + ((-1)\/12)\/((-9)\/459). Are d and 189.7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -120*r - 22575. What is i(-190)?\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 224441\/18 + -12474. What is the common denominator of 9 + ((-10)\/(-2))\/((-4410)\/8855) and i?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -l**7\/231 + l**6\/55 - l**5\/55 - l**4\/33 + l**3\/11 - l**2\/11 - 8*l. Suppose p(x) = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 11 = 2. Suppose t*a - 7*a - 4 = 0. What is the highest common divisor of a and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + f = 42 - 44, 4 = f. Calculate the remainder when 544 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -61*c**4\/24 + c**3\/3 - c**2. Let y be t(-3). Suppose 0 = 5*h + 4*n - y, 5*h - 315 + 130 = -n. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h + 65 = -5*t - 18*h, 2*h = -1 - 3 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 9:29 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12151 (base 6) to base 15.\nAnswer: -7ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 1 - 2. Find the first derivative of -11*s + 7*s - i + 5 wrt s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**5\/60 + 5*w**4\/8 + w**3 - 3*w**2 - 13*w. Let o(t) be the first derivative of m(t). What are the prime factors of o(-15)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*h + 9*h**3 - 28*h**3 + 2 + 25*h as s + f*h + v*h**2 + d*h**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2592 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -57*v - 27. What is the remainder when 48 is divided by b(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of 5*b**3\/6 - b**2 - 13*b. Let x be d(1). Suppose -2*n + 5 = -x. Calculate the highest common factor of n and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 162d0b?\nAnswer: 162d08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 11*d**2 - 3*d - 57. Let x be i(-13). Let p = x - 228. What are the prime factors of p?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (153\/1989 - (-470)\/(-26)) + (3 - 11)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097596 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 15 = -4. Let y = h + 22. Let s = 19 - y. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/(-16) - -2)*(0 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of i**2\/2 - 1. Suppose 4*m = -0*h - 3*h + 20, -3*m + h + 2 = 0. Let p(z) = z**2 - m + 3 - 1. Calculate k(p(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9540 divided by 375?\nAnswer: 636\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f**3 - 7*f**2 + f + 7. Let h be g(-5). Let d = -108 + h. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -572143 + 675?\nAnswer: -571246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/198 and 47\/(-44) + 7\/(-42).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354578?\nAnswer: 2, 7, 19, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5455 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-22)\/77 - 24\/(-35). Let g = -6 - -3. Let s = g - 0. Which is the closest to 0.1? (a) s (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - -12) + 8 - -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 3*d**2 + 2*d)*(4*d**2 - 3*d**2 + d**2) - 4*d**4 + 2*d**4 + 5*d**4 - 5*d + 5*d - 4*d**4.\nAnswer: -7*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 9*t**2 - 8*t - 13. Let f(b) = 5*b**2 - 5*b - 7. Let q(a) = 11*f(a) - 6*r(a). What is q(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c767a (base 16) to base 4.\nAnswer: -3013121322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2816\/3872)\/(18\/(-1881))?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -594.258 - 748.\nAnswer: -1342.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7258*n + 181376. What is g(-25)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 3*p**2 - 19*p - 18. Give x(5).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.08291 rounded to 2 decimal places?\nAnswer: -1.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 - h + 26)*((-h**4 + 0*h**3 + 0*h**3)*(3 - 5 - 2) - 10 + 10 - 2*h**4 + 2*h**4 + 2*h**4 - 7*h**4).\nAnswer: h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -24640*w - 320377. Calculate m(-13).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s**2 - 3*s + 7*s + 35 - 2*s. Is w(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13430, -106882, -360534, -854486, -1668838?\n\"Answer: -13350*j**3 - 2*j - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 5676.\nAnswer: 1\/1892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 218 by 7.\nAnswer: 218\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*p - 8*p. Suppose -2*a - 1 - 5 = -p*y, 31 = 3*a + 5*y. What is the smallest common multiple of 20 and a + 28\/(-12) + 235\/3?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -12\/49, -0.5, 4, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 71399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 5*m**2 + 6*m + 2. Let h be z(-6). Let d = -52930 + 52931. Sort h, 5, -20, d in increasing order.\nAnswer: -20, d, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 1008 = 4*x. Let c = x - -203. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -657*z - 2. Let b be f(-3). Suppose 5*g + 2*h = -h + 4876, -2*g + 5*h = -b. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4250431, -4250432, -4250433, -4250434, -4250435, -4250436?\n\"Answer: -u - 4250430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**18*j**(1\/3)*(j\/j**(3\/5))**(-2\/31) assuming j is positive.\nAnswer: j**(8978\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 43*j**4 + 4*j - 197 wrt j?\nAnswer: 172*j**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + -3 + (-42 - -15) - 6?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -648*i**2 - 12*i - 14. Let n(m) = 21*m + 3. Let c(f) = -4*n(f) - y(f). Suppose c(d) = 0. What is d?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7774, 15546, 23326, 31120, 38934, 46774, 54646, 62556?\nAnswer: 70510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 9:05 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000111204074 to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34056, 67552, 100484, 132852, 164656, 195896, 226572?\nAnswer: 256684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x - 8 + 4 - 4*x)*(-5*x**2 + 6*x**2 + 0*x**2 + (-1 + 0 - 2)*(5*x**2 + 3*x**2 - 3*x**2)).\nAnswer: -14*x**3 + 56*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0) + -3 + (1 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 c when two letters picked without replacement from {k: 2, r: 1, c: 1, o: 1, a: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -4, 6\/5, -0.2, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3736353ug in milligrams?\nAnswer: 0.0003736353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -4. Find the second derivative of -3*v**2 - 3*v + 2*v**2 + 2*v**n wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 - -68. Let c(b) = 2*b - 12. Let a be c(f). Suppose -3*w + 4*l = -158, -a*w - 12*l = -11*l - 217. Does 54 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1\/2 (b) 0.15 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 9:40 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 372036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 23 = -5*q, -j + 16 = 4*q - 0*j for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*s**2 + 8*s**3 + s**3 - 20*s**2.\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*l - 6 = 447 - 69 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13220 + 251*l**2 + 11707 - 22721 wrt l?\nAnswer: 502*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -15. Suppose -46*f + 44*f + o = 0. Let s(l) = -9 + l + f - 4*l. Give s(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -7. Let g = -27 + p. Let k = g - -26. What is the biggest value in 4, -5, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*j - 23*j. Suppose j = -8*u + 5*u + 9. Solve u*h = -0*h - 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d. Let z(k) be the first derivative of -k**6\/10 + 25*k**3\/3 - k + 124. Let u(p) be the third derivative of z(p). Determine a(u(o)).\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -69a61?\nAnswer: -69a60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p - 6. Let r be h(6). Suppose -5*l = -r*l - 10. Suppose 0 = l*m - 3 - 37. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -254405.\nAnswer: 1\/254405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/2 + 2)*0. Which is the closest to 3? (a) j (b) 1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1962, -16174, -54780, -129978, -253966?\nAnswer: -438942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3559 + 3567. Let d(j) = -j**3 + 6*j**2 + 15*j + 7. Determine d(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -9*o**2. Let r(m) be the third derivative of -m**5\/30 - 2*m**2 + 23*m. Give b(r(v)).\nAnswer: -36*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 8, 5 in decreasing order.\nAnswer: 8, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -1. Let l(d) = d**2 - 9*d + 20. Let k be l(6). Suppose k*j - p*j = -36. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 5*h + 75, 17 = 5*o + 5*h - 68. Let p = 12 - -12. What is the highest common factor of o and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 521810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 548*b - 284*b - 330*b - 19*b**2 to the form c + u*b**2 + y*b and give y.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**3\/3 - 571*p**2\/3 + 155651*p - 465231 = 0?\nAnswer: -1027, 3, 453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-8))\/(7\/(2268\/(-18))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 - (-13782)\/6)*(-3)\/6. Let a = q - -1979. What are the prime factors of a?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -998*f + 995*f = -3*n - 45, -4*f = 3*n + 52 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000008236 to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -8 + (2 - -3) - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 1)*(q - 6*q + 11*q).\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + d + 1. Let q be h(2). Suppose q = 3*i - 8. Calculate the greatest common factor of 40 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21369475 to the nearest integer?\nAnswer: 4623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 o when two letters picked without replacement from {t: 8, o: 4, m: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -184*j + 1897. Calculate the remainder when c(9) is divided by 33.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 - 4*p - 16. Let l(x) be the first derivative of x**4\/4 + 11*x**3\/3 - 21*x**2\/2 - 81*x - 989. What is -2*l(f) + 11*t(f)?\nAnswer: -2*f**3 - 2*f - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 457*i**2 + 503*i**2 + 3*i**2 + 47*i**2.\nAnswer: 1010*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -657*o - 12744 = 1497 - 413 + 2597 for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + 6*z - z + 28, -5*n + 5*z = -40 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -302.5 to the nearest 10.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in four fifths of a litre?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 5*v**2 - v + 2. Calculate w(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: bd1 (base 14) to base 4\nAnswer: 210203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q - 1. Let g be f(-4). Let x be ((-18)\/g)\/(8\/40). Which is smaller: x or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2)*(0 + 2*l + 0) - 2*l - 2*l + 3*l + 2*l + 0*l + 0*l + (-4 + 3 + 8)*(2 + l - 2).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 581, 1160, 1739?\nAnswer: 2318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 1 + -2 + 0 + -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49485381 is divided by 108.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*q**2 + 0*q + 0 + 2\/3*q**4 + 22\/3*q**3.\nAnswer: 2*q**3*(q + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 901 divide 44079752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 705\/10 - ((-7)\/(-14) + 0). What is the greatest common divisor of l and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -1\/5 (b) 1\/3 (c) -1\/4 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 0.5, -7182, 11.\nAnswer: -7182, -2\/7, 0.5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 51 - 35?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -24813 != -74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*d + 31*d + 12 = -36*d for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 12*v**2 - 11*v - 5. Let p be g(-11). Let o be -6 + 8 + (-18)\/8. Sort o, -2, p.\nAnswer: p, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 138*s**5 + s**4 + s**3 + 85*s**2 - 2*s.\nAnswer: 8280*s**2 + 24*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.4 + 2.4. Let i = j + 14. Let t = 0 - i. Sort -0.3, -0.4, t.\nAnswer: t, -0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(136)*1*4)\/(((sqrt(24) + sqrt(24)*3)\/sqrt(3) - sqrt(8))*-5).\nAnswer: 4*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277*i + 319*i + 261*i - 857*i - 48*i**2.\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -0*y. Suppose y = 4*b + 5 + 107. Let m = b - -54. What is the highest common divisor of m and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = r + 16, 9*c - 5*c = -2*r + 28. Solve -r*d - 5 = -5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kxkx when four letters picked without replacement from kkxxkxkkxxxxkk.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3*p + 33 = 0, 0 = 5*i + p - 46 + 13. Solve -i*n + n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0*(w*w\/(w**5*w))\/w)\/(w**0)**50*((((w\/w**1)\/w)\/w)**(-27))**16 assuming w is positive.\nAnswer: w**859","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4260 - -68187\/16. What is the common denominator of 89\/20 and s?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 5*j - 20, 2*m + 44 = -12*m - 25*j - 11 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 4*c - 27 = 0, -5*s - 2086*c + 9 = -2088*c for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 8*a**2 + 12*a + 9. List the prime factors of v(9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14021.16kg in tonnes?\nAnswer: 14.02116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2029853796.\nAnswer: 2, 3, 797, 212239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -3*n - 2, b - 3*b - 3*n = -14 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41.81 + -42. Let j = h + 0.71. Round j to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 93 - 94.2. What is the smallest value in 0, -2\/3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*h - 2*h**3 + 14*h)*(0 + 1 - 6)*(-5 + 7 - 15) to y*h**3 + g*h + u + k*h**2 and give y.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 153*s**2 - 2*s + 3. Let k(t) = 314*t**2 - 6*t + 11. Determine -2*k(u) + 5*m(u).\nAnswer: 137*u**2 + 2*u - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466 is divided by 209?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.03 + 0.03. Which is smaller: -10 or x?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 k when two letters picked without replacement from {l: 1, h: 2, k: 1, r: 1, t: 2, n: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41935 + 15480 - 43161 = -916*s for s.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3180 divided by 30.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1156*s = -11763 + 13905 - 9879 - 31567 for s.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -97*u**2\/2 - 89*u + 56. Is f(-28) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 5 = 5*o - 2, -2*p - 4 = -2*o for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 67\/4 of a hour?\nAnswer: 1005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 9:24 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -172, 24, 1, 15 in descending order.\nAnswer: 24, 15, 1, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -455008 + 0?\nAnswer: -455008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-4147))\/((-23660)\/153790).\nAnswer: -2\/319","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 14*d**2 - 2*d - 12. Let p be q(-14). Calculate the greatest common factor of 128 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 891191.3 weeks in minutes?\nAnswer: 8983208304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 11) to base 12\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02452 and -0.011?\nAnswer: -0.00026972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -9*r**2 + 9*r + 5. Let q(b) = 2*b**2 - b - 1. Let t(y) = 4*q(y) + s(y). Determine t(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 97\/52?\nAnswer: 97\/52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 2:07 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -955*n - 5*l + 62 = -952*n, -90 = -5*n - 5*l - 0 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*m - 94*m = -5*c - 53, 0 = -3*c - m - 31 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2946 + 3381. Calculate the highest common divisor of v and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1710\/7410)\/((-189)\/(-78)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21936 = 5*m + 4*i - 51434, -44022 = -3*m + 5*i. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 23*i + 35. Give l(-6).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -18714.61747 to the nearest one hundred.\nAnswer: -18700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24102 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11096569 to the power of 1\/3, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4344525, 4344531, 4344537, 4344543, 4344549?\nAnswer: 4344555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 0 + (-5 + 2 + 2)*(-3 + 1 + 1) + 3 + 3 - 4 - 5 + 1 + 5)*(-d + d - 4*d) in the form c + n*d and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3137819708 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/195 and 19\/5608080.\nAnswer: 72905040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of 0*z + 1\/15*z**5 + 3*z**2 + 0 + 0*z**3 - 1\/12*z**4 + 0*z**6 + 1\/168*z**8 - 2\/105*z**7. Factor s(a).\nAnswer: 2*a*(a - 1)**3*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (34 - r - 25 - 31)*(2*r**2 + 28*r - 15*r - r**3 - 16*r) to the form a + x*r + n*r**4 + w*r**3 + i*r**2 and give x.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16565, 33287, 50009, 66731, 83453?\nAnswer: 100175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -383*d**3*f*r**3 - d**3*f + 11*d**3*r + 2*d**2*r**3 - 3*d**2 - 6*r**3 with respect to f.\nAnswer: -383*d**3*r**3 - d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 794 is divided by 63.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 61007173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002717089277 rounded to 7 dps?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 10. Calculate the least common multiple of 5 and d.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -14662 - 71*c - 2*c**2 + 884 - 31*c - 216*c - 14*c = 0.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - (-30 + 7) - (2 - -8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/7 + 36*l\/7 - 96\/7.\nAnswer: -3*(l - 8)*(l - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-49)*7539\/(-359)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**4\/19 - 6942*z**3\/19 - 5739686*z**2\/19 + 500155950*z\/19 + 2092015000\/19 = 0.\nAnswer: -1775, -4, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1784 (base 15) to base 5\nAnswer: -130244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3485*r + 4062*r + 5193 = 0 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27320 is divided by 1138.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + 1 - (90 - 79) - 4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (59\/(4248\/(-48)))\/(-1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12288 divided by -192.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1284\/7 - -184. Let f(r) be the first derivative of -2\/21*r**3 - y*r**2 - 3 - 8\/7*r. Factor f(v).\nAnswer: -2*(v + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7219 = 923*c - 22748 - 11568 for c.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 102734, 102912, 103076, 103220, 103338, 103424?\n\"Answer: -d**3 - d**2 + 188*d + 102548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 39264*f + 432028. Give u(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -5. Suppose s = 4*g, -5*i + 2*g = g + 2. Solve 0 = -i*w + w - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 divided by 183.\nAnswer: -56\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 11) to base 5\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gb when two letters picked without replacement from {g: 1, q: 6, b: 5, d: 1, p: 4, i: 3}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1e8 (base 16) to base 5\nAnswer: 3423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 397*c**2 - 201*c**2 + 6 - 4*c - 195*c**2. Let t be a(3). Find the first derivative of -5*w**4 + 10*w + t*w - 13*w - 12 wrt w.\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 175 and 275.\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssllslllssllsslslsl. Give prob of sequence sss.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 8*p**2 - 20*p + 2. Let h be b(-10). Suppose -12*j - h*j + 2128 = 0. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -19*d**4\/4 - 10*d + 25. Differentiate s(t) with respect to t.\nAnswer: -57*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2\/15, 3, -11\/2, -0.08, 2 in descending order.\nAnswer: 3, 2, -0.08, -2\/15, -5, -11\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.9859 tonnes in micrograms?\nAnswer: 55985900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 555857119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -1110111110?\nAnswer: 1110111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3276499 = 18*f - 6615743. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + 4*(sqrt(243)*4 + (sqrt(324)*-1)\/sqrt(12) - ((sqrt(27) - (-1 + sqrt(27))) + 2 + sqrt(27) - (-3 + sqrt(27)*-2))).\nAnswer: -21 + 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**33)**36\/((t\/(t\/(t\/(t\/(((t\/(t*(t*t**(4\/25)\/t*t)\/t))\/t)\/t)))))\/t)**(-18) assuming t is positive.\nAnswer: t**(-30222\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1847948 divided by 956?\nAnswer: 1933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 1. Suppose 3*k - 3*q = 19 - 1, -2*k - 12 = 4*q. Let l be (-12)\/2 + (-3)\/(-3). Sort g, l, k in ascending order.\nAnswer: l, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149169989 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*n - 3*h, -n - 1656*h + 1658*h = 11. Let c be -2*(6\/(-4))\/(-3). Sort -2, n, c.\nAnswer: -2, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*b + 42*b = 23*b. Solve -l - 4*m + 9 = b, -l + 2*m = 3*l + 18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 33 + 6b5b4?\nAnswer: 6b627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2. Suppose 4*h - 384 = -b*g, -4*h + 2*h + g = -200. Calculate the remainder when h is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 308*v**2 - 284*v - 1746. What is the units digit of t(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 376462 divided by 14.\nAnswer: 188231\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 0*g - 4*z - 28, -g + 16 = -3*z. Let n(i) be the second derivative of -g*i**2 + 1\/6*i**3 - 3*i + 0. Give n(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1314 (base 5) to base 15.\nAnswer: -de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a + 61?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 12 + -3 + 5 - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2 + p**2 - p + 3*p + 9. Is f(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -325*n**2 - 345*n**2 + 9*n + 208*n**2 - 9*n.\nAnswer: -462*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10\/23 (b) 0.3 (c) -11534\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v + 14*v = -30. Suppose v*i - 3*u = -4*u + 4728, 0 = -3*i - 4*u + 2830. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1269?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -118, 30, -6.\nAnswer: -118, -6, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-135)\/(-54))\/((-25)\/24 - -1). Let h = t + 229. Let j = -46 + h. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-4 - -4 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, e: 2, y: 3}. Give prob of picking 2 g.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/17340 and -1\/29478.\nAnswer: 294780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 836795320.\nAnswer: 2, 5, 20919883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 12:48 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = o, -4*r + 9*r + 5*o = -70. Let n(t) = -t**3 - 8*t**2 + 8*t - 3. What are the prime factors of n(r)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of z**4\/4 - 8*z**3\/3 - 4*z**2 - 5*z - 9. Let f be q(9). Solve -27 + 11 = f*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*z + 634 = 0, 0*z = -2*z. What is the remainder when a is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 34783, 34780, 34775, 34768?\n\"Answer: -t**2 + 34784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2876\/79090*((-3)\/(-6))\/((-2)\/(-8)*2)\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1671*y + 4024*y + 267665 = 0 for y.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11505120134 + 2?\nAnswer: 11505120140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*a = 58022, -10 + 16 = -3*a. Is p a multiple of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 11 + (-8 - -29).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -74*z - 20. Let x(t) = t + 41. Let i be x(-15). Let w be (-25)\/9 + i\/(-117). Is d(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0*p - 194 = 4*p, 4*u = -2*p + 150. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-16))\/(9\/(-30)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -95*k + 85*k + 5920. Does 16 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*r + 18*r + 19 = 0. Solve 31 = 5*j + 3*u + u, -4*u + r = -5*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.038? (a) -0.2 (b) -0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**2 + 4431*o - 259011. What is f(60)?\nAnswer: -351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28.80823 + -0.12923. Round x to 1 dp.\nAnswer: 28.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 615497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15955, -15883, -15763, -15595, -15379?\nAnswer: -15115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -8*f + 1. Suppose 4*z = -2*i, -z + 4*z + 3*i + 3 = 0. What is the remainder when z + 1 - (1 + -2) is divided by k(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 974691 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 171\/171*(2 + 1). What is the nearest to 4 in -3\/4, -2\/21, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 5*g - 58, 4*s + 6*g - g = 54. What is the highest common divisor of 4 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 8 = -2*m. Solve m*a = 4*d - 0*a - 8, d + 3*a = 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -824179, -824189, -824199, -824209, -824219, -824229?\n\"Answer: -10*m - 824169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000116771 rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -520908, -1043200, -1565492, -2087784?\n\"Answer: -522292*o + 1384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -6*v - 1. Suppose 0 = 3*a - p - 18, a + p + 1 = -p. Suppose 3 = a*j - 2. Determine l(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3309*z - 36 = -3318*z. Which is the smallest value? (a) 4\/21 (b) z (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 275 + -53. Suppose -z = -n - 3*b, -2*b = -2*n + 7*n - 1136. Calculate the greatest common factor of 57 and n.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110475457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -2\/5*x**5 - 345 - 56\/3*x**3 - 36*x**2 - 32*x - 9\/2*x**4. Factor a(q).\nAnswer: -2*(q + 1)*(q + 2)**2*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 711 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 3)*(0*o + o + o) + 0*o + 0*o - o - o + 4 - 4.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) 2\/5 (b) -5 (c) 11 (d) 22 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 2\/57*f**3 - 2\/95*f**5 + 9 + 0*f - 9\/38*f**4 + 9\/19*f**2. Let g(z) = 0. Calculate z.\nAnswer: -9, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 379438 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 806 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2220901 or 2?\nAnswer: -2220901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - -31. Suppose -7*y = -q*y + 3. Suppose -y*x - 4*n - 4 = 0, 17 = -5*n - 3. Solve x = -w, 16 = -4*d - 0*d - 5*w for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 11:25 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1, 10, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -69d (base 15) to base 14\nAnswer: -790","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*b - 1203*b - 2 - 2483*b + 2.\nAnswer: -3828*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3571.361 less than -0.2?\nAnswer: 3571.161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 42.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85580104.\nAnswer: 2, 19, 29633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*k + 3*k. Solve -4*y = -n - 19, k = -0*y + 3*y + n for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 327.\nAnswer: 1635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 383 divide 1062442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 5 + ((-1794)\/(-3) - 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fx when two letters picked without replacement from {f: 1, b: 2, e: 1, d: 6, x: 8, g: 2}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2511521 (base 6) to base 3.\nAnswer: 20210200011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -1\/1768?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 92152075 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: What is the seventh biggest value in -3, -0.015, -5, 2, -1092, -40, 3\/4?\nAnswer: -1092","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/3331295 and -71\/165.\nAnswer: 9993885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/(-8 + 11))\/(380\/(-195)) and 119\/6.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 201732, 201656, 201566, 201462?\nAnswer: 201344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**2\/15 + 7900754*s\/15 + 55305572\/5 = 0. Calculate s.\nAnswer: -21, 3950398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3041243 + -3?\nAnswer: 3041240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78080, 146752, 215424, 284096, 352768, 421440?\nAnswer: 490112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11799.6 + 11780. Are 9 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 4, -1412.79, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 79289.16 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 + -0.9. Let v = -998 + 995. Let m be (-16)\/(-7) - (1 - -1). Sort s, m, v.\nAnswer: v, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 417223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a + 4. Let x be d(3). Let u = 66 - x. What is the remainder when u is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001394368 to six decimal places.\nAnswer: -0.001394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 415492705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -7*j - 3*j - 3*j - 9 - j**2 + 2*j**2. What is the remainder when 8 is divided by v(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 h when two letters picked without replacement from {h: 1, v: 1, d: 2, o: 9}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 3. What is a(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -224 - -119. Let l(y) = -2*y**3 + 29*y**2 - 28*y - 27. Let z be l(14). Let c = a - z. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(-3)\/((-6)\/68). Let j be (-3 - -4)*(-16)\/4. Let p = h - j. What are the prime factors of p?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78372 and 1260.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**4\/5 + 388*x**3\/5 - 1138*x**2\/5 - 1528*x\/5 = 0.\nAnswer: -1, 0, 4, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 674 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 12*a - 47. Let l be g(-5). Is 1\/(5\/15)*(-1936)\/l a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 3 + 1. Let w(r) = -r**2 - 3*r**k + 5*r**2. Let i(m) = -4*m**2. Give i(w(s)).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*q**3 - 124332*q**2 + 331360*q - 220864.\nAnswer: 4*(q - 3451)*(3*q - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + (sqrt(95) - sqrt(95)*1 - sqrt(95))*6 + sqrt(95))\/(sqrt(880)\/sqrt(11) + sqrt(5)))**2.\nAnswer: 304\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of t**8\/336 - 2*t**7\/105 + 7*t**5\/30 - 17*t**4\/24 + t**3 - 244*t**2. Suppose z(n) = 0. Calculate n.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 2. Let w be -5*-7*j\/(-15). Let h be (-10)\/w - 8\/28. Do 0 and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzjzjxz. What is prob of picking 1 x and 1 j?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = w + 5*h, 3*w + 5*h - 2*h + 30 = 0. Let p be 1\/w - (-29)\/56. Which is smaller: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 6:09 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o**5\/40 + o**4\/8 - o**3\/6 + o. Let q(z) be the second derivative of d(z). Find the first derivative of q(h) wrt h.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v**4 + 1 - 3*v**4 + 11*v**3 - 77*v**2 - v + 14*v**3 + 3*v**3 - 32*v**3 as f*v**4 + l*v**2 + w*v**3 + t*v + u and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 653552 is divided by 119?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 3) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 55736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 186.0003 micrograms in tonnes?\nAnswer: 0.0000000001860003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 2*v + 12 = 3*t, 10 = 5*v for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/(p\/p**0))\/p)\/(p*p**5))**(3\/10) assuming p is positive.\nAnswer: p**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -2\/11, 0, -26, -14, 28\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from izhwwwwhzwzadwwaa. Give prob of picking 1 h, 1 w, and 1 i.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*l - 17*l. Let b(x) = l*x - x + 2*x + 7. Let w be b(-5). Solve -w*z = 5*s + 15, 2*s = -0*s + 4*z - 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of t**3\/3 - 13*t**2\/2 + 66*t + 54. What are the prime factors of s(12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/4 - (1 + -4). Suppose -1 = -5*d + 9. Differentiate 3 - d*x**n + 0 + 5*x**2 - 2*x**2 wrt x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -2 (c) 30\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of v**5\/15 - 5*v**4\/6 + 63*v**2\/2 + v + 1. Let y(k) be the first derivative of f(k). Let y(d) = 0. Calculate d.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.19 and -89469865486.\nAnswer: -89469865486.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 15*x**2 + 84*x - 160. Determine l(19).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*y**2 - 4*y**2 + 5*y**2 + 11*y**4 + 7*y**4 wrt y?\nAnswer: 432*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6334 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-75) - (8\/15)\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5677*l**5 + 617*l**4 - 7142575*l**2 wrt l.\nAnswer: 340620*l**2 + 14808*l","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, s: 2, k: 2, l: 2, t: 5, v: 3}. What is prob of picking 2 v?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 45*s**3 + s**2 - 3*s + 2. Let m be z(2). Suppose -4*r = r - m. Let f = 147\/2 - r. Which is the third smallest value? (a) 4 (b) -5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*h + 4*h - 4 + 14 + 5*h**2.\nAnswer: 5*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28397151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-5)\/k)*k*k**(-2\/5))**(-5\/4) assuming k is positive.\nAnswer: k**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffqfqf. Give prob of picking 2 q.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1125 - 829?\nAnswer: -1954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*t**2 - 1211*t + 41400 wrt t.\nAnswer: 18*t - 1211","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (260\/(-6))\/(24\/(-1413)). Let i = 2571 - r. Find the common denominator of 61\/14 and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1718719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 2*m - 13. Let v(d) = d**2 - 14*d + 18. Let z be v(13). Let j be o(z). Suppose -j*n + 140 + 48 = 0. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 at most as big as 151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -250d30 (base 16) to base 3\nAnswer: -11120100212122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2701506077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 3*k**2 - 2*k - 2. Let w(v) = -v**2 - 7*v + 2. Let p be w(-7). Let o be d(p). What is the second biggest value in o, 0.2, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 29 in decreasing order.\nAnswer: 29, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n + 24. Let g be f(-11). Let w(d) be the first derivative of -4 - 4\/7*d + 2\/21*d**3 + 1\/7*d**g. Find b, given that w(b) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*k = -4*k + 47050, -4*k - 70625 = 3*z. What is the hundreds digit of 8\/(-14) + z\/(-63)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 8*m + 3. Let j(q) = -2*q + 4. Let h be j(-3). Is l(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h**2. Suppose 0 = -4*w - r + 6, 0*w + 2 = 3*w + 2*r. Let j(z) = 0*z**2 - 2*z**2 + 0*z**w. Give s(j(q)).\nAnswer: 16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 229275789493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nineteen quarters of a century?\nAnswer: 5700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i = -19*i - 56. Suppose b + 448 = 5*b. What is the highest common factor of i and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -10. What is the second biggest value in l, -1, -0.5, -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y + 13*y + 6 = 0. Suppose 2*c + 5*l + 7 = -0*c, -4*l = 3*c. Suppose -y*m = c - 10. Solve 0 = -m*h - h - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 789*r + 8*r**2 - 395*r - 394*r.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 11:56 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 k, and 1 y when three letters picked without replacement from {k: 2, z: 1, y: 8, f: 6, e: 1}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.02, 1\/454, 55?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/6*(-9)\/6. Suppose -5*i + 11 + 14 = 5*u, 2*u - 10 = -3*i. Let d(q) = -u*q + q + j*q + q. Let s(a) = 6*a**2. What is s(d(y))?\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11015 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2776 = 5*z + 2836. Let o be (z\/40)\/((-180)\/75). Determine h so that 1\/2*h + 0 - o*h**2 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -17*l**2 - 486*l + 701. What is w(-30)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 99668717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.1 (b) 7 (c) 2\/13 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1334 + 10?\nAnswer: 1344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/1176 and 17\/44?\nAnswer: 12936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-972)\/(-1053))\/(9\/156).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -l**10\/30240 - l**9\/5040 + l**7\/630 + l**4\/6 - l - 63. Let b(k) be the third derivative of s(k). Factor b(n).\nAnswer: -n**2*(n - 1)*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p + 9549 = 25621. Does 28 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3226 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/(-10) + (-16)\/40. Suppose -p - 1 = -x. Suppose -4*c = x - 19. Solve 0*z - c = z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3 - 12*f**2 + 132*f + 140.\nAnswer: -4*(f - 5)*(f + 1)*(f + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 33 = -3*m - 51, -9 = m + 4*h for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d = 5*d + 154. Let o(z) be the second derivative of 1\/12*z**4 - 3*z + 0 + d*z**2 + 0*z**3. What is o(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191261 less than 2382523\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11994579?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 2*j**2 - 2*j - 1. Suppose -4*u + 0 - 24 = 4*i, -2*i = 4*u + 22. Let n be c(i). Let r be -1*8\/3 + 0. Is n smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 587*z**2 + 18*z - 23. Is t(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/33 and -73\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -55.84*46.7\nAnswer: -2607.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-10)*6)\/(308\/770).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 340636308?\nAnswer: 2, 3, 31, 67, 79, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 33*b - 14*b - 7*b - 16*b + 121000. Let q be f(0). What is q rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/9 + 6*n**3 - 97*n**2\/9 - 40*n - 208\/9.\nAnswer: -(n - 52)*(n - 4)*(n + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (57 - 5)\/4. Let z = 15 - i. Which is the closest to z? (a) -0.5 (b) 238 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -5 - 177 + 61 - 51*g + 13*g. What is the tens digit of p(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j**3*s**2 + 10*j**3*s - 120*j**3 + j**2 + 7*s wrt s.\nAnswer: -2*j**3*s + 10*j**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 6 + (2 + 1 - 1)*(-3 + 5 - 3))*(164 - 1 + 14)*(0*g + 0*g + g) as f + n*g and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 213755 - 105586. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*x - 13 = 77 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, a: 9, y: 6}. What is prob of picking 2 a?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 2*b - 68, -2*o + 95 = -4*b - 57. Suppose 4*t - 160 = 3*t - 5*l, 0 = -3*t + 4*l + 556. Calculate the highest common divisor of t and o.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-3\/4)*v)*v*v)**(-42)\/((v*v**(1\/4))\/(v\/(v*v**(-3)*v))) assuming v is positive.\nAnswer: v**(-459\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1095580154 to the nearest integer?\nAnswer: 33100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14, 28, 42, 56?\n\"Answer: 14*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 13. Suppose -q*j + 4*j = -8. What is the remainder when 11 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t - 1. Let s(n) = -958*n**2 + 707*n - 131. Let j(w) = s(w) - 3*u(w). Let c(r) = -1436*r**2 + 1056*r - 192. Let q(p) = 5*c(p) - 8*j(p). Factor q(d).\nAnswer: 4*(11*d - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-224)*2*-1.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 + 0*z**2 + z**2)*(-3*z + 4*z + z) + (5*z - 2*z - 2*z)*(-3*z**2 + 0*z**2 + 4*z**2) + 4*z**3 - 4*z**3 + z**3.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124760 + 124760 - 213129*k.\nAnswer: -213129*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63.7 - 63.6. Let r = -0.8 + -7.2. Put -2, m, r in ascending order.\nAnswer: r, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17819672\/(-1108690) - (1\/(-1))\/((-1)\/(-16))\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2799 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*86250.\nAnswer: 3450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 184*o + 69. Give r(0).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h**(-3)\/h*h))\/h**(1\/15))\/(h**(-16\/3)\/(h\/((h*h*h*(h**(-1\/49)*h)\/h*h)\/h))) assuming h is positive.\nAnswer: h**(6091\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2021 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-6)*(-163)\/((-39935)\/42)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182281713.\nAnswer: 3, 523, 116177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.5 and -369.\nAnswer: 3505.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/(-20))\/((-3059)\/1012 - (-6)\/2). Let j(o) = 5*o + 36. What is j(s)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.6383ms to nanoseconds.\nAnswer: 4638300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50188 by 1614.\nAnswer: -25094\/807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/9)\/g**(1\/8))\/(g**(-4)*g**0))\/(((g*g\/(g\/(g*g**(-5))*g*g*g*g))\/g*g*g**6)\/((g*(g\/(g*(g\/g**(-1))\/g)*g)\/g*g)\/g)**(-1\/10)) assuming g is positive.\nAnswer: g**(335\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*m + 13, 3*m + 3*n - 16 = -n. Suppose m = 6*g - 4*g. Suppose -g = q - 4. Solve -q*v = -2 - 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, v: 2}. What is prob of sequence vj?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 559911, 559899, 559863, 559791, 559671, 559491, 559239, 558903?\nAnswer: 558471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 c when two letters picked without replacement from {q: 3, h: 4, c: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - g - 4*g)*(14 - 2*g**2 - 10 + 8*g - 6*g).\nAnswer: 2*g**3 - 2*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 82 and 124?\nAnswer: 5084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of 0 + 132*c + 17\/60*c**5 - 1\/8*c**4 + 1\/6*c**3 + 2*c**2. What is x(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33 in -27\/7, 4\/7, -0.345, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/((4 + 0)*((-153)\/54)\/17). Solve -27 = -3*p + g*b, 5*b = -5*p - 1 + 6 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*o**3 - 379*o - 27191 wrt o?\nAnswer: 6*o**2 - 379","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + -6*sqrt(20)*1)\/((2*sqrt(640) - sqrt(640)) + sqrt(640)).\nAnswer: -5*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7458 and 1280788443?\nAnswer: 3729","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 7:49 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2371312813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-8) + (-276)\/(-8). Let r = a - -1. What is the tens digit of (1 + r\/(-20))*(-2 + -58)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-3 + sqrt(2057))*-1)**2.\nAnswer: 2057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 497562*f**3 - 592727*f**2 wrt f?\nAnswer: 2985372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 6*w + 14. Let j be l(6). Suppose 5 - j = -9*c. Let d be -3 + 6 - c - 0\/(-4). Solve -3*s + d*z - 1 = 0, 4*z + 1 = s - 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-48))**17\/((s\/s**(-43))\/(s**(2\/31)\/s)) assuming s is positive.\nAnswer: s**(-26689\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 368\/1903?\nAnswer: 368\/1903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/25, -17, 31, 0.3?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30783184193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/108 + 184\/18. Let v = -8 + m. Sort 5, v, -1 in decreasing order.\nAnswer: 5, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 734193 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -13*b**6\/720 - b**5\/40 + b**4\/6 - b. Let m(g) be the third derivative of w(g). What is the first derivative of m(c) wrt c?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + 6\/9*(-53880)\/898?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32063 (base 8) to base 5.\nAnswer: 411423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4650464 or -12?\nAnswer: -4650464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176593419?\nAnswer: 3, 677, 9661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -2*d**3\/3 + 5*d**2 + 28*d + 168. Find v, given that y(v) = 0.\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -753, -780, -833, -918, -1041, -1208?\n\"Answer: -l**3 - 7*l**2 + l - 746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 228911*p - 3 - 114191*p - 115559*p as v + a*p and give a.\nAnswer: -839","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2185234 by -4.\nAnswer: -1092617\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 27 = 21. Let n be 20\/q*8\/2. Let c(t) = -2*t**2 + 0*t - 1 + 5*t - 3*t. Let h(s) = -4*s**2 + 3*s - 1. Determine n*c(x) + 3*h(x).\nAnswer: -2*x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/21*(-14)\/(-18). Which is the nearest to -2? (a) -2 (b) j (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5*f - 120. What is the highest common divisor of f and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 - 37*s - 92. Let y be o(28). What is the highest common divisor of y and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/25)\/l**21)**8)**(-2\/69) assuming l is positive.\nAnswer: l**(8432\/1725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -70 - 1325?\nAnswer: -1405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80440 divided by -1.\nAnswer: 80440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -15*d**2 - 6*d + 15. Let t be r(2). Which is smaller: t or -35?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1\/((p\/((((p**(-1\/4)*p)\/p)\/p)\/p*p)*p*p)\/p*p))**(2\/7)*(p*p**(-2\/3))**(-37)\/(p**1)**(-48) assuming p is positive.\nAnswer: p**(1459\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffbffffbfffb. What is prob of sequence ff?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 813\/5 - 162. Is 2 <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144\/1008*252\/(-66)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1619\/3230 + -2\/1615. Factor z*j**2 - 3\/2*j + 1.\nAnswer: (j - 2)*(j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r = -15*r - 4. Let i be 39200\/12*3000\/r. What is i rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.8 - 11.22. Let y = 1.6195 - p. Round y to three decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32311 (base 4) to base 7\nAnswer: 2524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1292?\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 24062786 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/21 and 125\/18804.\nAnswer: 131628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 298, 367, 556, 925, 1534, 2443, 3712?\nAnswer: 5401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35.959 + 0.041. Let q = y - 33. Suppose -2*n - 16 = -4*s, 6*s = s + 20. What is the second biggest value in -4, n, q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + p = -2*q + 15, 0 = 3*q - 4*p - 10. Let m be (-2)\/(-8)*4 + q. Suppose -1 = 5*y - m. Solve y*z - 3*z + 1 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 379586.6 years in centuries?\nAnswer: 3795.866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -9, 7, -0.2, -2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2640\/37439 + 2\/1291. Let l(x) = 2*x + 15. Let z be l(-7). Which is smaller: z or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(96)*1 - sqrt(96))*-3 - sqrt(96))\/(-1*sqrt(256)))\/(sqrt(968) - (sqrt(968) + -2*sqrt(968)*-1) - ((sqrt(968) + -2*sqrt(968))*4 + sqrt(968))))**2.\nAnswer: 3\/7744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 48*g - 246. Determine c(42).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1369475460 divided by 17?\nAnswer: 80557380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/5 - 187100784*i\/5 - 4375837921676832\/5.\nAnswer: -2*(i + 46775196)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by -6 + 1 - (-23 - -5) - 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)*-1*-5)\/(sqrt(128)*1) - sqrt(42)\/(2*sqrt(150) + sqrt(150))*-1)**2.\nAnswer: 43687\/3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 63, 204, 485, 954, 1659?\nAnswer: 2648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -183 + 185. Let q(k) = 24*k - 20. Let m be q(i). Solve 4*t + 2*n = -3*n + 36, -m = -5*t - 2*n for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(208) - (-1 + sqrt(208))) - (sqrt(208) - (-2 + -2*sqrt(208)))) + (-2 + sqrt(208) + 0)*-1)**2.\nAnswer: 64*sqrt(13) + 3332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by -101.\nAnswer: 35\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 8\/3*d**2 - 10\/9*d**3 + 22\/9*d - 4\/3 = 0?\nAnswer: -1, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -11*z**8\/336 + z**4\/24 - 26*z**2. What is the second derivative of f(w) wrt w?\nAnswer: -220*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 612880979 to the nearest integer?\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 90, -3 in ascending order.\nAnswer: -13, -3, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 9:27 AM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (1 + -3 + (-1 - 2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1798384, 1798458, 1798546, 1798654, 1798788, 1798954, 1799158, 1799406?\n\"Answer: t**3 + t**2 + 64*t + 1798318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/6 and -131\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/36823 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 0*m + 12. Suppose -441 = -3*v - 96. Suppose -v = -6*i + i. What is the remainder when i is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-5\/12)*v\/v**(3\/4)*v**(13\/7)\/v**(5\/9) assuming v is positive.\nAnswer: v**(143\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 2\/17 (b) 2\/33 (c) -5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2008*n + 711 + 1297 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51\/(-1836)*27*-3.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eqq when three letters picked without replacement from eqeeeeeeeqe.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39) - (sqrt(273)*-2)\/sqrt(7)) + (sqrt(117)\/(sqrt(12) + sqrt(3)) - sqrt(39)))\/(sqrt(162)\/sqrt(6) + -1*sqrt(3)*-2).\nAnswer: 7*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 3)\/(22\/4)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 5*w**4 + 660*w**3 - 9460*w**2 - 339600*w - 636160 = 0.\nAnswer: -142, -16, -2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2 + 0*u**2 + 4*u**2 - 26*u**3 - 4*u + 25*u**3. Let b be x(2). Suppose 0*q = b*q - 2*i - 124, 0 = -5*q - 3*i + 270. Does 19 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -11. Suppose -5*n + n - c*g - 6 = 0, 3*n + g + 10 = 0. What is the common denominator of 1\/n + (-158)\/72 and 97\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -8*i + 9 - 3 - 6. Let m(v) be the first derivative of -v**4\/6 + v - 2. Let q(b) be the first derivative of m(b). Give g(q(o)).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 55 from -11.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4505\/11 + -813\/2. What is the common denominator of 157\/30 and k?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hho when three letters picked without replacement from {h: 4, q: 3, w: 4, o: 5}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19516, 39041, 58566, 78091?\nAnswer: 97616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 4*n**2 - 2*n + 4. Determine y(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-6)*((-8)\/3 + 4). Let b = 25 - 20. Put b, f, 1 in descending order.\nAnswer: b, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001001 - -10011001000?\nAnswer: 10110010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10804 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-97)\/(-9) - (2 - 100\/45). Let o be (n\/(-165))\/((-2)\/(-6)). Which is the third smallest value? (a) -4 (b) o (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 105.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 159510.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2034 (base 14) to base 10.\nAnswer: -5534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**2)\/c)**(-29)\/(c\/(c**2\/c)*c**(-10)) assuming c is positive.\nAnswer: c**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -40*j**2 + 16*j**2 + 16*j**2. Let c(m) = -2*m**2. Give f(c(n)).\nAnswer: -32*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 minus -8916?\nAnswer: 8915.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 94. Let z be 8\/p*3*1. What is the third smallest value in -0.1, z, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250 + 6443*y**2 - 250.\nAnswer: 6443*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108)\/sqrt(6) + -3 - (sqrt(2)*-1*-3 + 4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.7 - 0.5. Let o = 25.8 + 6.2. Let f = o - 30. Sort 3, c, f.\nAnswer: c, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7107070 to the nearest ten thousand.\nAnswer: 7110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 680.3469l?\nAnswer: 680346.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.232 + 5. Let b = -21.632 - z. Let n = -21.39999907 - b. What is n rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/9 and 149\/1092?\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265890 = 4709*d + 100776 - 51163 for d.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10c5a9 (base 14) to base 4.\nAnswer: 2023213221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 24) + (13 - 7) + -22?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l + 5. Let s(n) = -n - 1. Let j be (12\/21)\/(24\/84). Give j*p(v) + 9*s(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 2*s**2 + 2*s + 3. Suppose -4*c + 9*c = 15. Let g be u(c). Suppose 3*j - 7*j = g. Solve 0 = -t + 3*t + 5*q + 35, -4*t - q - 25 = j for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**5\/7 + 4024*h**4\/7 + 16064*h**3\/7.\nAnswer: 2*h**3*(h + 4)*(h + 2008)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**2\/5 + 3406*a\/5 - 31059 = 0.\nAnswer: -3451, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 17 = w + 2*w, 0 = 5*w + 3*y - 3. Suppose -w*l = -5*l - 4*b + 2, l = b + 13. Let m = l + -4. What is the highest common divisor of 5 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -522372*q**5 + q**3 - 61*q**2 + 2*q - 73 wrt q.\nAnswer: -31342320*q**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 30153 + 30167 = -2*i, 4*i - 5*o + 13 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*q - 5*q + 20*q)*(0*q**2 - 3*q**2 + q**2) to the form p*q**3 + w*q + x*q**2 + k and give p.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z + 1. Let d be j(2). Let a = -1.2161 - -1.1631. Which is bigger: a or d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -4. Suppose -4*j + b = -4, 1 = -2*g + 5*j. Let z be (-2 - 2)*2\/g. Let h(i) = i**2 + 6*i + 1. Give h(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2052077 and -5?\nAnswer: 10260385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*f**3 + 42*f**3 - 109*f**3.\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-7)*(-266)\/114\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 16, i: 2}. What is prob of picking 1 i and 2 q?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 3*o**8\/560 + o**7\/40 + o**6\/24 + o**5\/40 - 4*o**3 - 6. Let v(j) be the third derivative of y(j). Factor v(h).\nAnswer: 3*h*(h + 1)**2*(3*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5800017 + 11686466. Suppose -2*c + 8500004 = f, 6863567 + k = 3*c + 4*f. What is c rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 8 - 7 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 208452069*k**5 + k - 574120468 wrt k.\nAnswer: 4169041380*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 12\/385 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4424926 to the power of 1\/2, to the nearest integer?\nAnswer: 2104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3395\/3 + 17989\/15. Let s = 67 - k. Let u = -8 - -4. Put u, 3, s in descending order.\nAnswer: 3, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + (1*(sqrt(17) + sqrt(17) + 0) - (sqrt(68)\/sqrt(36))**2).\nAnswer: -62\/9 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -165 - -170. Suppose 0*p = p - 2. Solve -a*x = -4*x + p for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 48796 - 4961 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.4 (b) -607 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((2\/8)\/(12\/16))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.1 + 4. Let r(m) = -1 - 3*m + m + 2. Let y be r(1). Which is the nearest to y? (a) u (b) 1\/5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -205128483*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (630\/270)\/(2\/(-6))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-7)*b*b)\/b)\/(b*(b\/(b\/b**21)*b)\/b*b*b)*(((b*b\/b**(-6))\/b)\/b*b)**(-30) assuming b is positive.\nAnswer: b**(-239)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 27300 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 28162 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12\/5, 0.0851, 22, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 7 - 59 = 0. Let m be 1\/(-4) - (-27)\/12. Suppose -2*b - 4*w + 4 = -0, m*w - 14 = -4*b. Solve 3*t - b = -k for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 187 - 203. Let z be (t\/(-40))\/((-3)\/30) + 4. Which is greater: z or -11\/8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 130 = -2*a, -520 + 525 = -5*a. Calculate the greatest common divisor of b and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 24*c - 42. Let z(b) = 8*b - 14. Let l(t) = -3*u(t) + 8*z(t). Let s be l(-4). Calculate the highest common divisor of 184 and s.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6346?\nAnswer: 2, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) 2 (c) 0 (d) 9.04 (e) -1\/18 (f) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1\/2, -5.1, -4.7, 12 in descending order.\nAnswer: 12, -0.1, -1\/2, -4.7, -5.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371*n + 373*n - 5*l + 8 = 0, 0 = -2*n + 3*l - 16 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1201127*d**2*p**3 + 32*d**2*p**2 + 16422*d**2*p wrt p?\nAnswer: 7206762*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10137979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 9 + 3)*(-l**3 + 0*l + 0*l) in the form r + p*l + z*l**3 + b*l**2 and give z.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 553321 = 49*o - 261255. List the prime factors of o.\nAnswer: 2, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.916291 months to centuries.\nAnswer: 0.0149302425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18059195 divided by 38.\nAnswer: -18059195\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-34)\/(-30) - 64\/48. Let s be (-2)\/4 + 15\/22. Let l = -73.8 + 73.5. Which is the closest to l? (a) 2 (b) s (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/17))**(-38)*v**27\/v**(-2\/7) assuming v is positive.\nAnswer: v**(2715\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -693 - 4397*k + 3*k**2 - 5*k**2 + 4397*k to v*k + q + f*k**2 and give q.\nAnswer: -693","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -525 and -224 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59 + -62. Let m be 2 + (-44 - a) + -1. Let f be (8 + -11)*m\/(-6). Is f at least as big as -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 13, -0.2, 5, 0.1461?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**14\/l*l)\/l*l**18)**(1\/33) assuming l is positive.\nAnswer: l**(31\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 8:38 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = a, b + b = 3*a + 14 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 19\/4 of a centimeter?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -1101000010001?\nAnswer: -1101000010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gd when two letters picked without replacement from {a: 2, d: 1, l: 1, g: 1, e: 1, b: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 j, and 2 z when four letters picked without replacement from {f: 4, z: 4, l: 1, g: 1, r: 3, j: 7}.\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*-1 + (-11 - -16). Suppose 4*f + 32 = 2*u, f = -0*u - w*u + 32. Let j = u - -24. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 6, -4, 1, 10, 70, 2 in ascending order.\nAnswer: -4, 1, 2, 6, 10, 27, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3510 and 3159.\nAnswer: 31590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q**2*r**2 - 1096*q**2*r - 7*q**2 - 807204*q*r**2 + 2*q*r - 2*q - 9 wrt r.\nAnswer: -2*q**2 - 1614408*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 220914?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23342*z - 11134*z - 11287*z.\nAnswer: 921*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*m - 3709*m**6 + 10*m**2 - 2 + 1426*m**6 + 1281*m**6 wrt m.\nAnswer: -120240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 7.4.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 789 divide 3597840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -69 - -48. Are -23 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t + 4. Let a be z(2). Suppose -a*j - 3 = -5. Let f(o) = 3*o**3 - 2*o**2 + o. Is f(j) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5a4674 (base 11) to base 14.\nAnswer: -1ad0a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 560 + -380. Suppose 5*n + 11 = -4, 2*f + 2*n - 34 = 0. Calculate the greatest common factor of j and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*b - 2\/3 + 1\/3*b**2.\nAnswer: (b - 1)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 9:46 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1766.486 rounded to the nearest integer?\nAnswer: -1766","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/sqrt(5) + sqrt(17))**2 + 0 - sqrt(85)\/sqrt(5)*-6 - ((sqrt(2057) + -3)**2 + -1).\nAnswer: -1997 + 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 177586 - 106374. Calculate the highest common factor of 19 and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f + 1 + 57*f**3 - 2*f - 287991949*f**4 + 287991951*f**4 to the form t + y*f**4 + r*f + c*f**2 + n*f**3 and give n.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - w - 3. Let m(u) = -3*u**2 - 4*u - 10. Let t be 102\/(-136) + 1*22\/8. Calculate t*m(d) - 7*s(d).\nAnswer: d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/667 != 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(81)\/(-2*sqrt(9))*5)\/(2*sqrt(147) + sqrt(12)\/sqrt(4)*4) + 3 + 3.\nAnswer: -5*sqrt(3)\/36 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**3 + 3117793*d**2 - 1104*d - 3918?\nAnswer: -6*d + 6235586","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: -3883+0.2\nAnswer: -3882.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 43276548 a multiple of 677?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 71504 = m, -14956 = -2*l + 5*m + 13651. List the prime factors of l.\nAnswer: 3, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2499805 greater than or equal to -2499807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -50 - -23?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2795780?\nAnswer: 2, 5, 13, 10753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + 3*y - 34, -817*a + 3*y = -817*a + 24 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -71809\/1506624 - -398\/3363. What is the common denominator of j and -41\/30?\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -55\/228?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44951\/19964 - 8\/4991. Factor -3 - v*k**2 - 14*k.\nAnswer: -(k + 6)*(9*k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3024 - -0.02677345.\nAnswer: 0.32917345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 2*m = 18, 7*m + 23 = 2*l + 12*m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 + -2 - (-44 + 46).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5\/23 (b) 416 (c) 3 (d) -3 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 3*x + 15 = 2*v, 5*x = 15. Let a = -11 + v. What is the greatest common divisor of a and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, -41, 22, 109, 226, 379, 574?\nAnswer: 817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m - 24. What is the remainder when s(-23) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 4*u + 2. Let j(d) = 20*d**2 - 96*d + 48. Let b(n) = j(n) - 24*k(n). Let o(l) = 4*l**2 - 144*l - 2. Give o(b(z)).\nAnswer: 64*z**4 + 576*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -7.89+0.0165\nAnswer: -7.8735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -40. Suppose 0*g - 4*g - f = 0. Sort 0, 3, g in descending order.\nAnswer: 3, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**4 + 4250*y**3 - 21375*y**2.\nAnswer: 5*y**2*(y - 5)*(y + 855)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**2 + 5*a - 8. Let f be h(-7). Suppose -d = 4*d - f. What is the lowest common multiple of 3 and d?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-90))\/((-2)\/((-12)\/(-3)))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 5*y - 66 - 107, -2*y = 3*r - 254. Solve -r*s**4 + 64\/5*s + 16\/5 - 20*s**2 - 568\/5*s**3 = 0 for s.\nAnswer: -1, -2\/5, -2\/7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14827, -14247, -13667, -13087, -12507, -11927?\nAnswer: -11347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32727167 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 0)*(-3 - -2). Let l = -3\/13 - -35\/39. Which is the closest to t? (a) -2 (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x + 5*v = 12*x + 1, 5*x = -4*v + 14 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + y - 9 = 0, 2*a - 12 = -2*a - 2*y. Let f(p) = -a*p + 2 + 7*p + 5 - 14 - 3. Calculate f(-7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -3. Suppose -2*c + j = -2. Let v be 0\/((-3)\/(-9) - 21\/9). Sort c, v, -0.4 in ascending order.\nAnswer: -0.4, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1688*v**3 - 7259*v**3 + 2227*v**3 + 1678*v**3 + 1669*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**5\/19 - 172*r**4\/19 + 276*r**3 - 64944*r**2\/19 + 265842*r\/19 - 341172\/19 = 0.\nAnswer: 3, 26, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/26*(-14 - -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 23049285 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3297 + 3264 - 2*-19\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 2:59 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1220 = 9*w + 12*w - 485 for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4020667554.\nAnswer: 2, 3, 79, 149, 56929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + (-1*sqrt(153))**2 - (-1*(sqrt(153) + -1) + sqrt(153))**2)*6.\nAnswer: -3648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 0.2, -71922?\nAnswer: -71922","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**5 + 616*c**3 + 612*c**2 - 614*c - 612 = 0.\nAnswer: -17, -1, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -42*(15 + (-685)\/45). Let t(u) be the first derivative of 0*u**2 + 0*u + 21 + 2*u**4 + i*u**3. What is the third derivative of t(o) wrt o?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**2 - 19420336*j + 38840680 = 0.\nAnswer: -9710170, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48914 + 10019. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (50\/(-2))\/(0 - -1). Suppose -5*d - 142 - 158 = 5*q, -3*q + 110 = -2*d. Let t = c - d. What are the prime factors of t?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-3 - (-20)\/8). Let z be b + 2 + (-33 - -3). Let y be ((-9)\/z)\/((-6)\/(-5)). Sort 1\/2, -3\/4, y in increasing order.\nAnswer: -3\/4, y, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -91 + 94. Suppose -u*d + 317 = 254. Calculate the remainder when d is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (6 - -1)) + (11 - (-54 + 57)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-1617)*7)\/(2\/(-12))\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26634 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -8 (c) 1\/7 (d) 3\/4 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17437 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -10 - (-13 + (33 - (26 + -18)))) + 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**17\/n*n*n**17*n)**13 assuming n is positive.\nAnswer: n**455","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 22*g**2 + 15*g - 12. Is v(-4) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 3*g - 5. Suppose -2*i + 3 + 4 = o, 4*i - 16 = 0. Suppose 0 = -5*h - 0*h - 20. Let n = h + o. Determine w(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41 - 64 + 35 - 95*k**2 + k**3 + 96*k**2 - 11*k to m*k + p*k**3 + u + g*k**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.34 - 2.9. Let d = -0.04 + n. Let g = -0.3998 + d. What is g rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 10) to base 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 965, 3873, 8721, 15509?\n\"Answer: 970*u**2 - 2*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -4, 2, -6, -64, 198.\nAnswer: -64, -6, -4, 2, 3, 5, 198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -365058668\/2705 + 134957. Find the common denominator of r and -81\/10.\nAnswer: 5410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -3*j**6\/10 + 159*j**5\/20 + 13*j**4\/12 - j**3\/3 - 548*j. Find the third derivative of d(a) wrt a.\nAnswer: -216*a + 954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159703849 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001916 to 7 decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -248, -2\/7 in descending order.\nAnswer: 5, -2\/7, -248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 2*j + 2080, -4*s + 1698 = 4*j + 6. Calculate the remainder when s is divided by 106.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*m + 715*m + 79 + 7.\nAnswer: 621*m + 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 8*q - 47. What is the remainder when p(25) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 1100*n - 99. Let x(s) be the third derivative of -11*s**4\/6 + 2*s**3\/3 - 2445*s**2. What is 99*x(v) + 4*z(v)?\nAnswer: 44*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.12 in -2\/9, 4, -4, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15316633.\nAnswer: 89, 172097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 40.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 37758 divided by -12\nAnswer: -6293\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18270 and 63945?\nAnswer: 127890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.29, -1, 22?\nAnswer: -2.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -35*a**2 - 4*a. Let g(h) = -h**3 - 30*h**2 - 45*h - 462. Let w be g(-29). Let d(k) = 71*k**2 + 9*k. What is w*d(f) + 5*n(f)?\nAnswer: -33*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-78)\/42)\/(((21\/147)\/1)\/1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105928538 divided by 52964269.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 0, -1, -4 in decreasing order.\nAnswer: 4, 0, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1706593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-3) + (-33)\/9. Let n(v) = v + 1. Let c(l) = -5*l - 5. Let s(r) = -c(r) - 6*n(r). Give s(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 808?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 2*l**2 - 1. Let v(u) = 420*u**4 + 14*u**3 + 678*u**2 - 12. Let j(t) = v(t) - 13*w(t). Find the third derivative of j(y) wrt y.\nAnswer: 10080*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11443 - -15572. What are the prime factors of b?\nAnswer: 3, 5, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1817181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4511261*t - 4134710.\nAnswer: -4511261","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -1. Let m be ((-13)\/n)\/(2\/(-20)). Round m to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 - 27.744. Let w = 0.25717 - b. Round w to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a factor of 184920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2030)\/(-25) + 1\/(-5). Let v = h + -40. What is the remainder when v is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 851234277?\nAnswer: 3, 523, 542533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 214*d - 1067. Suppose -5*m + 2095 - 2070 = -3*p, -8 = -m. Determine o(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 38118, 38117, 38116?\n\"Answer: -t + 38119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 - 30278*v**3 + 29721*v**3 - 3*v + 3*v.\nAnswer: -557*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h. Suppose 0 = -3*i + 7 + 2, -4*s + i = -1. Let b(k) = -86*k**2 + 142*k. Let q(y) = s*b(y) + 4*w(y). What is the second derivative of q(r) wrt r?\nAnswer: -172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123240014 (base 5) in base 2?\nAnswer: -10010011000110001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 38*r**2. Let g(i) = -213*i. What is v(g(y))?\nAnswer: 1724022*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**3 + 549693*b**2 - 3298077*b + 4947075 = 0. What is b?\nAnswer: 3, 183225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - 1)\/(1\/2). Solve 3*o = 7*o + c for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -17, -6, -1.\nAnswer: -17, -6, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -146421446?\nAnswer: -146421446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1459 and 10027707?\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/7143 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -80285.27899 rounded to zero decimal places?\nAnswer: -80285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 2:57 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 3431233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 c, and 1 h when four letters picked without replacement from {c: 5, y: 3, h: 1}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a + 2*a + a**2 + (-a**2 + 0*a**2 + 3*a**2)*(-759 - 432 - 235).\nAnswer: -2851*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of m**5\/5 + 10*m**4\/3 + 8*m**3 - 62*m**2. Factor v(s).\nAnswer: 4*(s + 6)*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9081)\/(-75675)*-4*(-4)\/(-24)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-5 - -3 - (-1 + -1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 42*u**3 + 7*u**2 + 9*u - 9. Let o(j) = 5*j**3 + j**2 + j - 1. Let g(f) = 18*o(f) - 2*r(f). Factor g(p).\nAnswer: 2*p**2*(3*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -5\/3*h**3 + 2*h**2 + 3\/4*h**4 - 1\/20*h**5 + 25*h + 0. Let d(f) = -f**4 - f. Let o(l) = 3*d(l) + 3*g(l). Factor o(x).\nAnswer: -3*(x - 1)**3*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 832*n + 201745 - 141*n - 201745.\nAnswer: 691*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124117?\nAnswer: 7, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + 2*(2 + sqrt(275) + -2)))**2.\nAnswer: 180*sqrt(11) + 9909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*g + 89*g + 1216*g**3 + 534*g - 718*g.\nAnswer: 1216*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, g: 3, k: 2, i: 2, e: 4, f: 2}. Give prob of sequence ffee.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2165*p + 7462*p + 6*p**2 - 116972 + 116972)*(-3 + 3 - 4)*(-2*p + p + 3*p) to d*p**2 + y + f*p + a*p**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 9*m + 43178 = -3*j, -2*m + 14389 = -j. Let a = j + 7389. Let y be a\/7 + (-8)\/(-28). What is y rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -0.95\nAnswer: 0.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -11, 4, -2, -3 in ascending order.\nAnswer: -11, -3, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -36434804684 minus -5862?\nAnswer: -36434798822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001421 rounded to 6 dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 + 6 = -4*u - q, -4*q - 220 = -110*u - 6*q for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**3 - 2*x**2 + x - 1. Let z be s(2). Let c = z - 15. What is the units digit of (-8)\/c*3 - -42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 8. Let b be 3 + -1*w\/4. Solve 2*s = -b*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 - 13*o. Let p(a) = a**2 - 6*a. Let l be -7 + 7 + 1\/((-1)\/(-29)). Suppose 3*h + 5*q = -l, 0 = 5*h - 6*q + q + 75. What is h*p(m) + 6*y(m)?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d**2 - 2436*d - 14662. What is q(-6)?\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -514241756 and -514241756 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3490 times -5\nAnswer: 17450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1224738 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2242265?\nAnswer: 5, 223, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/6*-1)\/(-3))\/(15\/(-9))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0*q = 2*o - 6, q + 3 = o. Suppose -4*g - 3*j + j = -256, o*j = g - 64. Suppose 51 = 5*s - g. Which is smaller: 25 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 10*h + 112. What is the remainder when 82 is divided by y(-9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -6*h + 111. Let o be a(-7). Let r = 157 - o. Solve 3*k = -r*j + 8, 3*j - 2*j = 4*k + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (4 + (-6 - 3) - -3) - -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/2*(-2336)\/80. Let h = x + 119. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -135066942 divided by 3\nAnswer: -45022314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -175775.896 to the nearest 100.\nAnswer: -175800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -6*o**2 + 2*o + 15. What is b(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 414300 to the nearest 10000.\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 + 1202?\nAnswer: 2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 58849367 to the power of 1\/2, to the nearest integer?\nAnswer: 7671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 3:52 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 244171592 bigger than 244171591?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - j - 4*d = -214, -d = -4. Let q be (-1 - -2)*(-5 - 183). Let c = j - q. Is c a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x - 8. Let i be j(3). Put -1\/3, 2\/7, i in ascending order.\nAnswer: i, -1\/3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -13448*o**2\/9 + 26473208*o\/9 - 13028531042\/9 = 0.\nAnswer: 80711\/82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -3*r + 49. Let c be (-4)\/2 + 0 + r. Let i be (-10)\/4*c\/(-20). Solve 5 - i = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331)*2*-3 - sqrt(1331))*-1)**2.\nAnswer: 65219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 608 divide 75585344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**5\/12 - 5*o**4\/8 + 46*o**2 - 2*o. Factor i(s).\nAnswer: -5*s*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 3*w - 13. Let q be k(5). Which is the smallest value? (a) 4 (b) q (c) 0 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10608687?\nAnswer: 3, 1178743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -54*g + 8. Suppose 0 = -d - r + 5, 4*d - 9*d + 2*r = -25. Let m(t) = 7*t - 11. Calculate the remainder when w(-1) is divided by m(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 take away -0.035?\nAnswer: -122.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 948339.9 micrometers in millimeters?\nAnswer: 948.3399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35 + 48 + 0*p**2 - 139 + 2*p**2 to n + b*p + j*p**2 and give n.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 divided by 1?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7361\/3 - 500623\/204. Let h = 2\/17 + k. Which is the nearest to 0? (a) 5 (b) 1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(6 - (-96)\/(-20)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3707, -3749, -3791, -3833?\n\"Answer: -42*c - 3665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -391 - -580. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 1079 = -2*k, 0 = -k - 3*k + p + 2203. Suppose -32*l = -36*l + k. Is 23 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 560649 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205*h**3 + 55*h**3 + 66*h**3 + 26*h**3.\nAnswer: -58*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 11. Let h = a - -6. Let c = 4 - 6. What is the second smallest value in c, -0.2, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -4. Suppose 10 = -0*y + 2*y. Suppose v - 3*v = 5*w - 7, y = 4*w + v. Calculate the remainder when w is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 8*q**2. Let x(t) = -13*t. Determine b(x(d)).\nAnswer: 1352*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 2)\/(2\/(-24)). Let m = 12 + c. Suppose m = -w - 2*w + 18. Solve z + 4*x + 3 = 0, w = -2*z - 2*x + 7*x for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 1:41 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-344)\/((-1118)\/(-26))*-1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (3\/(-5))\/((-4)\/290) and ((-23)\/6)\/1 + -5.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1372730*f + 2744910*f - 1372173*f.\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 x when two letters picked without replacement from {y: 2, e: 1, x: 5, o: 1}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 14*l**2 - 23*l - 46. Let m be j(5). What is the greatest common divisor of m and 1161?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4784109.\nAnswer: 3, 11, 144973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.10217 litres to millilitres.\nAnswer: 98102.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 171, 701, 1631, 2997, 4835, 7181, 10071, 13541?\nAnswer: 17627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 7*s + 10. Let j be q(-4). Let i(r) = r**3 + 3*r - 1. Calculate the remainder when 0 + j + -13 + 152 is divided by i(3).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 3 (c) 2.2 (d) -2\/5 (e) 0.054 (f) 449\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/(-7))\/(3\/21). Let d(u) = -u + 14. Let t be d(v). Suppose 3*j = -2*g + 125, 5*j - t*j + 229 = 4*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 11:51 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3 = -k, 6 = 2*k + 4*c - 5*c. Suppose 3*n - 24 = k*t, t + 3*t = 4*n - 24. Is (-21)\/t - -1 - 1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.11 + -0.01. Let q = 1000 - 1055.3. Let l = -55 - q. Put l, j, 4 in ascending order.\nAnswer: j, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 248976 and 894768?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 321 + -3. Suppose 3*s = -0*s - p. Let a be 10\/15 - s\/3. What is the greatest common factor of a and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + x**2)*(2 + 6 - 5)*(56*x**2 - 23*x**2 + 66*x**2).\nAnswer: 297*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1) + 13 + -21?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t - 3607*t**2 - 3428*t**2 + 8468*t**2.\nAnswer: 1433*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - 20. Suppose -3819*y = -3818*y - 356. Let s = y + m. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooojopjoooopjpomojpp. What is prob of picking 3 j?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -684*t - 1117*t - 150700 = 1331*t + 293*t for t.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 281, 252, 177, 32, -207, -564, -1063?\nAnswer: -1728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 0 - 271327*s**3.\nAnswer: -271327*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**3 - 3215 + 3215.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25388 + -634698\/25. Which is the nearest to n? (a) -0.5 (b) 4\/5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 3 = -2*w. Suppose -3 = t - w. What is the units digit of (-1 - -4) + (-1 - t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4*p - 11702, 18*z - 15*z = -3*p + 17580. What are the prime factors of z?\nAnswer: 5857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -2486 (c) 3 (d) -1403 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -135*c**5 + c**4 - c**3 + 2690*c**2 + c - 7. Let r(x) = -x**5 - x**4 - x**3 + x - 7. Let o(b) = r(b) - w(b). Find the third derivative of o(n) wrt n.\nAnswer: 8040*n**2 - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 6*s + 357002 - 356977 = 0, -m = -4*s + 15 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + a1ab4b?\nAnswer: a1ab47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1678861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 407, 828, 1219, 1562, 1839?\n\"Answer: -3*q**3 + 3*q**2 + 433*q - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + 1044 + 8280. Is x a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*s + 10*s. Suppose -20 = -s*i + 3*v + 89, -4*i + 134 = 2*v. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/103, 1\/6, -1\/3, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 91 and 18468992.\nAnswer: 18469083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -85729*a*h + 80826*a wrt h?\nAnswer: -85729*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38820 - 7259322\/187. Find the common denominator of -137\/102 and j.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1109, 1102, 1095?\n\"Answer: -7*g + 1116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 9:58 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/((-6 - -1) + 3). Let h(g) be the second derivative of g**5\/20 - 2*g**4\/3 + 3*g**3\/2 + 2*g**2 + 2*g. What is the tens digit of h(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = 14*d - 19*d + 516495. What is the ten thousands digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 1\/20*s**5 - 9\/2*s**2 - 14*s + 5 + 2\/3*s**4 + 1\/6*s**3. Let r(c) be the first derivative of t(c). Give r(-8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -119764, -239515, -359266?\nAnswer: -479017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3026*k + 184. List the prime factors of x(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a day in minutes?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - h**2 - 5*h - 12. Let m be f(-2). Solve m*t + 3*t = 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**5 - 6*f**4 - 2*f**3 + 2*f**2 - 2. Let i(r) = r**5 + 7*r**4 + 2*r**3 - 2*r**2 + r + 3. Let a(j) = -3*i(j) - 4*s(j). Factor a(c).\nAnswer: (c - 1)*(c + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzqn when four letters picked without replacement from {u: 1, w: 1, n: 2, z: 1, a: 2, q: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/4051 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m**3 + 17*m**2 - 184*m + 72. Calculate s(5).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168083*j + 1444*j**2 - 168083*j - 2*j**3 - 2.\nAnswer: -2*j**3 + 1444*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436686 is divided by 784.\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.804836 plus 0.3?\nAnswer: 31.104836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (2\/(-2) + 1 - -5). Let t be (-156)\/(-91) - x*1\/14. What is the closest to 1\/3 in -0.3, 5, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 - 19*x + 7. What is u(10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 9*b**2\/2 - b - 263. Suppose 0 = 4*a - 1 + 9. Let f(r) = 20*r - 3. Let w(q) = a*f(q) + 5*h(q). Determine w(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8169053042.9998877 - 8169051093. Let l = 1950 - s. What is l rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - 2*n**2 + 0*n**2)*(n + 4*n - 4*n) - n**3 + 3*n**3 - 3*n**3 - n - 4*n**3 + 0*n + 3 + 0.\nAnswer: -6*n**3 - n + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(7) + -1)*-2)**2.\nAnswer: -200*sqrt(7) + 800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, -3\/7, -2, -1\/19, -6, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9.1? (a) 5 (b) -7 (c) 1\/6 (d) -0.1 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 - 7*c**2 + 9*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4}. What is prob of picking 2 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 12*h + 1. Let v(w) = 24*w + 2. Give -5*a(n) + 2*v(n).\nAnswer: -12*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p**4\/12 + 16*p**3\/3 + 221*p**2\/2 + 97*p - 2. Give f(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**4 - 3*v**3 - 2*v + 2. Let g(x) = -3*x**3 - 3*x + 3. Let r = -40 + 43. Let p(f) = r*l(f) - 2*g(f). Find a such that p(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 (base 13) in base 6?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 a, and 1 m when three letters picked without replacement from vamhbobvoovv?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -2*q + 1, -5*t - 1712*q + 1715*q - 2 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + (sqrt(110) - (sqrt(110) - sqrt(110)*1)*-1) + sqrt(110) - -3*sqrt(110)*-1)\/(1*sqrt(160)*-4 - sqrt(160)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7916 = 3*f + 5*q - 6*q, 5*q - 20 = 0. Suppose 0*y = 11*y - f. Is y a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3cc - 13?\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31102123 + -3?\nAnswer: 31102120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-665)\/(-152) - (-11)\/(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eighteen fifths of a meter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*o - 20. Let n = 3 + -3. Suppose l**o + n - 2\/3*l = 0. What is l?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/3 + (-37908066)\/(-882) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107456.\nAnswer: 2, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1489351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 85*b**2 + 222*b - 1972. Determine d(-82).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1194767, -2389495, -3584185, -4778837, -5973451, -7168027?\nAnswer: -8362565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -268*t**4 - 38*t**3 + 2*t - 4*t + 269*t**4 in the form x*t**2 + u*t**3 + l*t + b + k*t**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41*74\/1239389*19?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -0.7367\nAnswer: 0.36835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**2 - 7460*m - 2739842 = 0 for m.\nAnswer: -3317, -413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2 - (-83)\/2. Let b = -37 + k. Suppose 0 = b*r + 4*f - 60, 2*f - 23 = -r - f. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*c - 2. Find the third derivative of 6*l**3 + 9*l**2 - 8*l**2 + 4*l**c wrt l.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7038633*f**3*s - 6*f**3 + 45*f**2 + 4290*f - 44*s wrt f.\nAnswer: -42231798*s - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3403 + -2?\nAnswer: -3405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3035 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 - 3*j**3 - j**3)*(4 + 2 - 2) - 13*j**3 + j**3 - j**3.\nAnswer: -21*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2031010 + 123?\nAnswer: -2030221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 50 = -4*h, -17*h + d + 15 = -15*h for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 401 - -2100333?\nAnswer: 2101134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 + 8*u - 13440. What is a(80)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l*w**4 + 2*l*w**3*y + 14098*l*w**3 + l*w**2*y - 3*l - 9*w**2*y - 2*w**2 - 2*y + 2 wrt w?\nAnswer: -24*l*w + 12*l*y + 84588*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 2*g + 22, 4*w + 25 = 5*g + 66. Find the third derivative of -3*k**5 - 4*k**2 + 4*k**5 - 18*k**2 - w*k**5 wrt k.\nAnswer: -180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g**10\/10080 - g**7\/1260 + g**4\/4 + g. Let w(z) be the third derivative of v(z). What is the third derivative of w(m) wrt m?\nAnswer: 180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*k**5 - 10024*k**4 - 220818*k**3 - 1272524*k**2 - 474320*k = 0. What is k?\nAnswer: -980, -11, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 6*r**2 + 4*r - 14. What is m(5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 14 = -5*y, 0 = 6*y - 2*y - o + 10. Suppose 7*m = 25*m + 54. Put 11, m, y in descending order.\nAnswer: 11, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -55454 + 8?\nAnswer: -55445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46400?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 114*y + 12902. Give f(-112).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/60 and 61\/54.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 e when four letters picked without replacement from weeweeeevve?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((2*sqrt(152))\/sqrt(8) + sqrt(19) + sqrt(19)*1 + 0)**2 + -5 + 2*(3*(1*sqrt(19) + sqrt(19) + 1))**2.\nAnswer: 72*sqrt(19) + 1680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/2)\/(27\/72). Let j be 160\/9 - 4\/(-18). Suppose -3*g + h*g + 5*r - 22 = 0, r - j = -g. List the prime factors of g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10695588968 plus -1150?\nAnswer: 10695587818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 741142 and 741145 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2 - -3)*1 - -27 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 403519494 to the nearest 10000.\nAnswer: 403520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71515.62ml to litres.\nAnswer: 71.51562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c - 10*c**3 - 1 + 1. Suppose -4*p - 5*f + 29 = 0, 5*f + 1 = 26. Give o(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404375.\nAnswer: 5, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.4 + 7. Let c = 0.8419 - 1.0419. What is the second biggest value in c, -3, -0.4, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v. Let l be x(4). Suppose 3*g = 15 - 3. Let c = g - 3. Sort l, -2, c in descending order.\nAnswer: c, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(3*z - 2*z + z) + 0 + 2*z + 0 + (-18 - 3 - 3)*(0 - z + 0).\nAnswer: 28*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven halves of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31\/3*u + 17\/3*u**2 + 5 + 1\/3*u**3.\nAnswer: (u + 1)**2*(u + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 8*l**2 + (3*l**2 + 0*l**2 - 2*l**2)*(1 + 2 - 1) + (2 + 2 - 6)*(14*l - l**2 - 14*l) - l**2 - l**2 - 6*l**2 + l**2 + l**2 + 0*l**2.\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5288 + 14344. Does 218 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 7*r + v - 410 = 0, -5*v + 295 = 2*r. Calculate the remainder when 1065 is divided by r.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -5*w**4\/24 + w**3\/6 + w**2. Let v be (2\/5 - (-296)\/(-40))*1. Let o(l) = -4*l + 1. Determine v*o(n) + 6*g(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15704352 rounded to the nearest one hundred thousand?\nAnswer: 15700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 17956*v**4 + 452920*v**3 + 3273108*v**2 + 5259280*v + 2421136 = 0. Calculate v.\nAnswer: -778\/67, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 + -1. Let v = -708 - -792.1. Let d = v + -84. Put -0.4, s, d, 0 in decreasing order.\nAnswer: d, 0, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34.4 - 10.0737.\nAnswer: -44.4737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 23.7. Let s = 0.33 - 0.03. Let k = u + s. What is the third biggest value in -1\/4, k, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -4*o + 8. Suppose 0 = 4*j + 5*k - 4 + 22, j = 4*k + 6. Let n(g) = 8*g**2 + 7*g + 2. Let i be n(j). Solve -o*a + i = 3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -946 - 454 = 2*o. Round o to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2955.000006809 + 2955. What is i rounded to seven dps?\nAnswer: -0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63 + -249\/4. Suppose 0*j - j**4 + k*j**3 + 0 + 1\/4*j**2 = 0. What is j?\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-32091)\/4902 + (-5)\/(645\/(-6)) + 7. Factor -5\/2*h - h**2 + 3 + k*h**3.\nAnswer: (h - 3)*(h - 1)*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + -1)*(-3)\/((-3)\/(-2)). Suppose o - m*w = 11, 0 = 13*o - 17*o + 3*w - 8. Let a = 17 + o. What is the lowest common multiple of a and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288 - 359 + 274 - 9*y - 666.\nAnswer: -9*y - 1039","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y - 12 + 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s + 1. Let j(v) = 16*v + 27. Let w(m) = -2*j(m) - 10*k(m). What are the prime factors of w(-8)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 8*a**2 + 7. Let n be h(7). What is the tens digit of (-25)\/(-10)*n\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 575 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -107105 and -10.8560753.\nAnswer: -107115.8560753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.7? (a) -7 (b) -3 (c) 2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6000\/1800*(4 + -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-91)\/(-585)*6)\/((-716)\/537)?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -27.3 and 9?\nAnswer: 36.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*m + 53*m + 83*m - 2.\nAnswer: 82*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28.859 - -0.141. Let t = -1427\/6 + 237. What is the third biggest value in 4, i, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 2002?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 12731, 12563, 12395, 12227, 12059?\n\"Answer: -168*m + 12899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*sqrt(108) + -3 + sqrt(108) + 1 + 1 + sqrt(108))*-1 + -5)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/25 in 0.1, -5, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 38. Let i(x) = 5*x + 398260. Calculate i(c(r)).\nAnswer: 5*r**2 + 398070","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b**2 + 2*b**2 - 2*b**2 + 1)*(-35286 + 328*b + 138*b + 35285) to j*b**2 + w + s*b + u*b**3 and give s.\nAnswer: 466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*r - 48*r - 87*r + 370*r in the form g*r + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 w when two letters picked without replacement from owwowwlwwowoqowwlwwx.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.098 + 186.902. Let q = -188 + o. Sort -8, -5, 5, q in increasing order.\nAnswer: -8, -5, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -4)*((-860)\/10)\/43 + 7?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2. Let l(f) = -3*f + 67. Calculate l(u(z)).\nAnswer: -3*z**2 + 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 2062*t + 0*t**4 + 2092*t - 3990*t - t**4 to the form d*t**4 + s*t**3 + i*t**2 + j*t + c and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + s + 88, 4 = 5*s - 6. What is the highest common factor of p and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3) - (-50)\/(-120)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -214.\nAnswer: 3\/214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -483 divided by -10.\nAnswer: 483\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 4*j - 10787, -4*j = -4*r + 7*r - 10747. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 115.1 - 115. Let k(s) = 2*s**2 - 3*s. Let n be k(4). Let i be (2\/(-5))\/((-28)\/n). Which is the nearest to -1\/3? (a) i (b) y (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 c when three letters picked without replacement from {l: 1, s: 1, k: 2, p: 1, c: 1, a: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (-2 + (-4)\/(-2)). Let s be 9\/(-2 + 5) + -7. Put 4, s, q in descending order.\nAnswer: 4, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 975*i + 4981 + 1892 - 16174 - 24824 = 0 for i.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29376\/(-233280) - (-3)\/30*2.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1242 (base 6) to base 10.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 825 + -488. Calculate the remainder when z is divided by 68.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101111110011110 - -101?\nAnswer: -1101111110011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(-3) + 0 + 6. Let u(m) = -m**2 - 5*m + 1. Let x be u(-5). Sort x, q, 4.\nAnswer: x, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -2, 3, 1\/6, -5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 3568715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6359777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0315 + 0.0358. Let q = -4.9957 - y. Which is the nearest to -2? (a) q (b) 0 (c) 0.2 (d) -0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000473 to 5 dps.\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = 3*i - 3*g + 27, 51 = -5*i + g. Let k(n) = n. Let a be k(-5). Let r(j) = 10*j + 770. Let u be r(-77). Put u, i, -3, a in ascending order.\nAnswer: i, a, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 + -10 + 38 + 47\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 461 (base 14) in base 2?\nAnswer: 1101100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i + 25. Let c be (0 - -3)*(-5 - (-20)\/3). Let w(y) = -3*y - 50. Let j(d) = c*x(d) + 2*w(d). Let q be j(19). Solve n - q*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 - 18 + 14)*(51 - y - 51)*(5 + 0 - 2).\nAnswer: -123*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 2*w**3\/3 + 3*w**2\/2 - 36. Calculate z(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*f**3 + f**3 + 0*f**3 + (-f - 2 + 2)*(-307*f + 133*f - 241*f)*(2*f - 2*f - 2*f).\nAnswer: -835*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 165658291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542 is divided by 199.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26 or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17701 - 198*w**2 - 8844 - 8851.\nAnswer: -198*w**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18343 + -2159?\nAnswer: 16184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y + 6 + 78616*y**2 - 78616*y**2 - 17*y**3 to a + u*y**2 + b*y + z*y**3 and give z.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8.427 and -0.0474825?\nAnswer: 8.3795175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.9871071 to 2 decimal places.\nAnswer: 6.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-81)\/1080*45)\/((-45)\/(-12))?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.83 - -0.13. Let f = -2.3 + y. Let j = 5 - 5. Which is the second biggest value? (a) f (b) 2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 1 + 8 = 4*y, -2*g = -5*y + 25 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c + 0*c - 17*c)*(c - c + c).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 115*d - 9. What is n(2)?\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (33\/(-55))\/((-2)\/10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 + 52. What is the lowest common multiple of 1\/(((-15)\/9)\/(-5)) and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (325 - 341) + (21 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -6, -11, -16, -21, -26?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 2. Let v = -661 - -666. Suppose 2*z + 15 = -3*z + v*r, -3*z = -2*r + 11. Sort z, 21, h, -1.\nAnswer: z, h, -1, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 2, 3276\/11, -3, -5\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 82 + 11?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -132.43875 and -2.5?\nAnswer: 331.096875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from {v: 1, x: 7, o: 2}.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4.23, 12, 8, -1\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31\/4 + 271\/36. Let n be 1*(45\/(-12) + 4). What is the biggest value in n, c, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 1, 21, -1, 2\/47?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -138*i - 112*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ag when two letters picked without replacement from agg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 10*y - 52. Suppose 3*a + 36 = 5*v + 4, v + a = 8. Let l be q(v). Solve 5*i = 2*s - 0*i - l, 5*i + 10 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxrrknnrwrkwrrrnr. What is prob of picking 1 k and 1 n?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 418*j**2 - 2921*j - 29. Determine n(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.8 minus -8.2?\nAnswer: -54.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (728\/264)\/1 - (-51)\/(-561). Factor 40\/3 - 10*m**2 - 4\/3*m**3 - x*m + 2\/3*m**4.\nAnswer: 2*(m - 5)*(m - 1)*(m + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82 and 7093?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -10. Let h be 2\/(n + (-5)\/(-3)). What is the biggest value in 2\/3, h, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -60 + 62. Suppose -d + 8 = 4*d + c*m, 0 = -2*d - 2*m + 2. Suppose 3*k + 19 = -2*g, 5*g + 0*k = -d*k - 31. Sort 3, g, -1 in ascending order.\nAnswer: g, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -bb4 + 78?\nAnswer: -b3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 64*m + 656. What is q(-10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssrrrrrrrrrrrsrsssr. Give prob of picking 1 s and 3 r.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 7 - 47 = 0. Let x(k) = -k**2 - 7*k + 19. Let y be x(t). Sort y, 5, -5 in ascending order.\nAnswer: -5, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 8 + 1)*(49*j - 22 + 30 - 284*j) in the form m + z*j and give m.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1914571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-21 - (-8 - 0))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.099 - -109.099. Let g = 106 - t. Let c = 0.1 + -0.2. What is the nearest to 0 in 3\/7, c, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**3 + 6*r + 18. Let b be s(-3). Let y = b - -57. Solve 6*m + 2*d - 1 = m, 0 = y*m - 4*d + 15 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 220 = 5*t, 2*p + t - 75 = 4. Suppose 2*s - 22 = 4*a, 3*s - 2*a - p = -4*a. Solve 0 = 5*i - 3 + s for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/56 and -103\/616.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.3 (b) -4 (c) -5\/3 (d) 396 (e) 40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 13 - 10 = 5*i, -4*d + 12 = 0. Let l be i\/((15\/6)\/5). Let z = -160\/77 + 26\/11. Which is the third biggest value? (a) l (b) 2\/5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 3)*(0*w - 3*w + 4*w)*(-1 + 1 + 1) in the form q + t*w and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 225, 235, 245?\n\"Answer: 10*s + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1670993\/(-108680) - -15 - (-3)\/8. Is l >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 10:12 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 26\/5 of a century?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*v\/v**(-2))\/v))**(-47)*v\/((v**(-8)*v)\/v)*v\/(v**6*v) assuming v is positive.\nAnswer: v**97","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 595074 and 1452?\nAnswer: 144007908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 12. Let c be 5 - (3 + 1 + -1). Let t(x) = -3 + 2 - x + c. What is t(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d**2 + 2*d - 1. Let o be (1 - 2)*(-2)\/(-1). Let y be a(o). Solve -2*z - 1 = 3*t - 4*t, 2*t + 5*z = -y for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (0 - -6) + 14 - (-56 + 72) - -18.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {f: 5, g: 14}?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 3*l - 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**5\/7 + 6*i**4 - 138*i**3\/7 + 192*i**2\/7 - 123*i\/7 + 30\/7 = 0.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(3\/4)*l)\/l*l**(-4)*l*l*l)\/(l**(-25)*l*l\/(l*l**(1\/5))*l))**36 assuming l is positive.\nAnswer: l**(4311\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of 2\/3*y**3 + 3*y - 1\/6*y**4 + 0 + 2*y**2. Let l be d(8). What is l rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/(-90))\/((-6)\/(-84)))\/(28\/(-72))\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 17 = 6*k. Let s(x) = 5*x**2 + 14*x + 3. Let t(a) = -14*a**2 - 41*a - 8. Let y(i) = k*s(i) - 6*t(i). Calculate y(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of n**3\/3 - 634*n. Suppose 0 = h - 2*h + 6. Let k(l) = h*l - 3*l - l + 4*l. Give k(z(i)).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, p: 2, e: 1, u: 1, v: 4, q: 2}. What is prob of sequence re?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15 - -4671001?\nAnswer: 4670cb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 983 divided by -2\nAnswer: -983\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*o**2 + 170*o**3 - 27*o**2 + 124*o**3 wrt o.\nAnswer: 1764","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -8*v**3 + 2*v**2 - 13*v - 19. Let o(g) = -g**2 + 419*g + 9 + 4*g**3 + 523*g - 936*g. Calculate 13*o(z) + 6*p(z).\nAnswer: 4*z**3 - z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1216 times 3.5?\nAnswer: 0.4256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2 = 2*s. Suppose -s*g + 12 = -g. What is the greatest common factor of 24 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-27)*(-78)\/(-156)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2. Let v(f) = 62*f**2 + 3. Determine v(q(a)).\nAnswer: 248*a**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4128837 by 3.\nAnswer: -1376279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 299343 * -7\nAnswer: -2095401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/42 + (-206)\/(-14). What is the units digit of ((-6)\/(-4))\/(i\/820)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1292 in -5, -2, 5, 2\/9, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-68180520)\/(-192) + (9\/8 - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (598\/26 - 19)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24 + 1\/4*l**3 - l - 9\/4*l**2.\nAnswer: (l - 8)*(l - 4)*(l + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2591\/17036?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 23211 (base 4) to base 5\nAnswer: 10431","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 2, m: 1, f: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9976 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/30*4*33\/(-88)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7498 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1009 + 2264*i**4 - 2032 + 1023 + 832*i**2 wrt i.\nAnswer: 54336*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r - 1. Let n be a(-8). Suppose -n*w = w - 16. Solve -w*s = -s - 4, 0 = 5*f + s + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 110 and 66?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 28*j**2 + 161*j - 15. Give t(20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3534 = 3*d, y - 14*d - 704 = -12*d. Is 710 <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 7*u - 8. Let p be q(4). Let w be 25\/(-21) - p\/(-21). Which is the second biggest value? (a) 4\/7 (b) -8 (c) w (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = b + 29, 2*b + 28 = -5*j - 5. Let v be 26\/(1 - (-2 - -4)). What is the remainder when 45 is divided by (v - -2)*b\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nsf when three letters picked without replacement from {n: 8, f: 5, s: 3}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.5 - 1.2. Sort -3, 1\/4, z in decreasing order.\nAnswer: z, 1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 252 and 462.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -302412 (base 7) to base 5\nAnswer: -3120222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -6. Suppose 5*s = l + q*s - 6, -4*s = 4. Let m be (-1368)\/855*15\/(-12). Solve 2*n - l*n = m for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 157*g**3 - 3*g**2 + 5. Let r be m(1). Calculate the greatest common factor of r and 265.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8\/111 - 10474\/555. Let z = c + 1133\/60. Calculate the common denominator of ((-60)\/32)\/(-3*(-6)\/(-360)) and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 294.8395 + -295. Round d to 3 dps.\nAnswer: -0.161","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 7*w + 3*u + 117, 12 = -4*u. Let o(x) = -18*x + 2. Let d be o(-3). Let g = w + d. Calculate the highest common factor of 20 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690837845 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 675 and 7890.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2791399213?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6055211 and -3.\nAnswer: -18165633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.14 and 139347?\nAnswer: 139346.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -54, -51, -50, -51?\n\"Answer: -s**2 + 6*s - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6151032*c**3 + 109112097?\nAnswer: -18453096*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4543, -4541, -4539, -4537?\nAnswer: -4535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 36*d. Let l(s) = -3873*s**2 + 1 - 1 - s + 3927*s**2. What is l(f(g))?\nAnswer: 69984*g**2 - 36*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -25299?\nAnswer: -25299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(((t\/t**(-1))\/t)\/t)*t)**(3\/26))**(-24)\/((t**(-1\/3))**(-43)*t**(1\/11)\/(t\/t**(-2\/17))) assuming t is positive.\nAnswer: t**(-137437\/7293)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -2. Let i = 20.861 - -0.139. Let g = 17 - i. What is the smallest value in q, g, -0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -160 - -155. Let i(c) = 13*c**2 - 15*c - 8. What is the tens digit of i(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 332893?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*c - t + 17, -4*c + 4*t + 24 = 0. Suppose -5*j = -j - c. Factor 0 + 0*u + u**2 - j - u**3 + u.\nAnswer: -(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-99)\/66)\/((-24)\/(-64))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 13) to base 6.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2675 + -1640. Let t = h + -258. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 2334625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**4\/3 + 26704*j**3\/3 - 35614*j**2 + 26712*j = 0. Calculate j.\nAnswer: -13356, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46816 by -88.\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2418, -3551, -4684?\nAnswer: -5817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/5)*b)\/(b*b\/b**(2\/27))*(b**0*b)**(30\/7) assuming b is positive.\nAnswer: b**(3742\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31ec0c (base 15) to base 16.\nAnswer: 244bd8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zhh when three letters picked without replacement from xxhzhxhzxx.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16155080?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 5*i - 2. Let y = 4 - 0. Let b(r) = -10*r + 29*r + 5 + 4 - y*r**2. Let k(d) = 2*b(d) + 9*p(d). What is the second derivative of k(m) wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20222101 (base 5) in base 12?\nAnswer: 7ab0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -49972500 rounded to the nearest one hundred thousand?\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 216336 to the power of 1\/2, to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 2*s + 1. Suppose -t + 13 = -3*t - 5*c, -5*c = 3*t + 7. Suppose 2*y = -y + t. Is h(y) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.7734105 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (7 + 1)*(-61320)\/(-336) and 35.\nAnswer: 10220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 h when three letters picked without replacement from {h: 2, z: 1, i: 1, c: 3, f: 5}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*t + 37 = -55. Solve -m = -t, 5*v = 8*v - m + 11 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 2.52986\nAnswer: -0.252986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18218 = 4*i + 5*s - 37167, 0 = 2*i + 5*s - 27705. Is 20 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 + 779 + 125)*(-1 - 2*s + 1 + 3 + 2*s - 3 - s - 2 + 2 + (2*s + 0 + 0)*(1 + 2 - 2) - 2*s + 4*s - s + 0 + 2*s + 0).\nAnswer: 3756*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*q + 23*q = 4, 139 = 3*k - 4*q. What is the remainder when 446 is divided by k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35949*s**6 - 117*s**3 - 4*s**2 - 1887*s - 135?\nAnswer: 4313880*s**3 - 702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12117?\nAnswer: 3, 7, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000284761924 rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 22805 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 684, 0.2, 0.1, -12 in descending order.\nAnswer: 684, 0.2, 0.1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**4 - 2*j**4 + 0*j**4 + (0*j**4 - 3*j**4 + 5*j**4)*(-4 + 0 + 3) - 9*j + 17*j**4 + 9*j to the form q*j**2 + l*j**4 + h + k*j**3 + v*j and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**3 + o**2 - 8*o - 4. Let a be w(4). List the prime factors of 2\/(-8) + (-927)\/a*-33.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-5\/6)*c\/(c\/(c\/(c*c**(2\/3))*c*c)*c)*c*c\/(c**(-11)\/c)*c**(2\/9) assuming c is positive.\nAnswer: c**(247\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 16 = 4*i. Suppose -2*r + 2*g + 16 = 2*r, i*r + 4*g = 20. Suppose 4*v - 16 = -3*d + 5*d, 0 = 2*v - 2*d - r. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.07 + -1.0700315. Round i to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 14*n + 6. Let y be b(-8). Let h be (1 - 4)*(-10 + 5). Is y\/(-10) + 6\/h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -2*f + 2*k + 2, f + 8 = 4*k. Suppose t - 61016 = -n - 3*t, 60984 = n - f*t. What is n rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114 = t + 116 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {m: 2, o: 1, q: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21.8 - 21.4. Which is the closest to -2.1? (a) 3 (b) x (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63148a1 (base 11) to base 10.\nAnswer: 11133563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 7) to base 2\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*(-50)\/(-4)*((-3410)\/(-200) + -17). What is the fourth biggest value in 0.1, -2, r, 11, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.25 + 10.25. Let r = -3.5 - b. Let j = 14 + r. Sort -2, j, 0.2 in decreasing order.\nAnswer: 0.2, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n + 43*m - 35 = 39*m, -4*n = -4*m - 4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -2100 and -2130 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1649, 1640, 1611, 1562?\nAnswer: 1493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a decade in years?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4*s - 26 = 0, 0 = 2*f + s - 22 + 2. Let l(t) = 3*t - 11. Let r be l(f). Suppose d = -h + 13, -4*h + d + r + 11 = 0. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -1471*x**3 + x**2 - 9*x - 2. Calculate o(-1).\nAnswer: 1479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -25, -87, -185, -313, -465, -635?\n\"Answer: i**3 - 24*i**2 + 3*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (7\/(-28))\/(1 - 45\/44).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 94 = -3*w. Let b = w + -97. Are 0 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - -7*(-30)\/40.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 9. Suppose -9 + 4 = -5*s - 2*m, 12 = -s - 3*m. Suppose -4*c - 4*i + 2*i - 2 = 0, -c + s = -3*i. Calculate q(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - -19. Let q be (68\/(-10))\/((-12)\/h). What is the greatest common divisor of 119 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z**2 + 2*z - 2*z)*(9 + 109*z + 132*z - 244*z + 4*z**2) in the form d*z + y*z**4 + p*z**2 + j + i*z**3 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -134 or 2291?\nAnswer: -134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 a, and 1 d when four letters picked without replacement from iagggggdggamgdq.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/((4 - 0)\/(-8)). Suppose -s + 21 = -v*l, 0 = -4*s + 6*l - 5*l + 24. Suppose -18 + 3 = s*f. Sort 0, -4, f in decreasing order.\nAnswer: 0, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 19. Suppose 15*n - 130 - 425 = 0. Suppose 4*l + 29 - n = 0. Solve 0 = l*g - z for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*(((z**(-5)\/z*z)\/z)\/z)\/z*z)\/z)**(1\/9))**(-1\/4) assuming z is positive.\nAnswer: z**(7\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3*sqrt(12) - (sqrt(12)\/sqrt(4) + 2 + 3)**2)*2.\nAnswer: -62 - 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 23a?\nAnswer: 23a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2784, 101, 4, 11, -1 in descending order.\nAnswer: 101, 11, 4, -1, -2784","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y. Let g(n) = n - 8*n - n + 2*n - n. What is l(g(h))?\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 26*a**2 + 65*a + 237. Does 2 divide x(-23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0627846 grams to kilograms.\nAnswer: 0.0000627846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 45*i + 172. Let p be h(-4). Which is the closest to 0? (a) p (b) -1\/4 (c) -0.5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-2\/9)*c*c)\/c)\/c**(-4))\/(c*c\/(c*c\/(c\/c**0))*c)**(-15) assuming c is positive.\nAnswer: c**(326\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5.42? (a) 0 (b) -2\/811 (c) -0.6 (d) 5 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.40373825 to 2 decimal places.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 21. Let c be w(9). Let a be 1\/(-6) + 2\/c. Suppose a = -2*y - 8 - 0. Put 0, -1, y in descending order.\nAnswer: 0, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 1349832.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1427*a - 10553*a + 246402 = 0 for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*p**3*r**2 - 18*p**3*r + p**3 - p**2*r**2 + 5*p*r**2 - 6 wrt p.\nAnswer: 54*r**2 - 108*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/(-4))\/(-3)*(-10 + -27 + 33). Let f(q) = -q**3 - 5*q**2 - q - 2. Determine f(r).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-106)\/583 - 56\/(-66). Let k = -0.31 + 0.3. Which is the nearest to z? (a) 0 (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11ab8 (base 12) to base 2\nAnswer: 101110111101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 48 + 22. Let l(i) = 2*i - 20. Let a be l(k). What is the highest common factor of 1 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.15 - 0.15. What is the third biggest value in -0.3, 0.5, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 668 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -395?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t - 4. Let q(u) = -8*u - 1 - 1 - 3*u - 17 - 4. Let n(k) = 6*k + 13. Let z(w) = -5*n(w) - 3*q(w). What is 3*y(i) + 2*z(i)?\nAnswer: -3*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - n + 1. Let y(p) = 14*p**2 - 14*p + 12. Let t(f) = -3*h(f) - y(f). Let i(m) = -m**2 + 1. Let x(j) = 2*i(j) - t(j). Is x(14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 + 26. Let j = 42 + u. Is j a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13 + 16)\/((9\/12)\/3). Solve -15*a + s = -19*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43198?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 417 + -186. What is the greatest common divisor of 21 and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 1040 = 8*u - 3*u, -2*u - 3*d - 437 = 0. Let j = 213 + u. Solve j*p - 3 = p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 + -3)\/(2\/3). Let t(o) = 2*o**3 + 15*o**2 - 7*o + 13. Let c be t(-8). Suppose 2*q + c*d = -0*d + 29, -15 = -5*d. Solve -f*j = q + 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*h + 0*h**3 + h**3 + 0*h**3)*(10 - 10 + 5*h)*(0 - 5 + 3) in the form n*h**4 + y*h**3 + a*h + j*h**2 + d and give j.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -110, -182, -254, -326, -398, -470?\n\"Answer: -72*v - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412*w - 224616 = -191656 for w.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*k - 3. Let y be 5*(-1)\/(10\/52). Let s = y - -27. Solve -3*j - x - 3 = 0, k*j + 2 = -4*x - s for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b**2 - b + 14. Suppose -6*p = -2*p - 28. Is m(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1461*w*y**3 + 84*w*y**2 + 62535*w*y + 2*w + 1 wrt y?\nAnswer: 8766*w*y + 168*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 302 - -1?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -6*b**5\/5 - b**4\/4 - b**3\/2 - b**2\/2 - 29*b. Let m be c(-1). Let t = m - 20. Solve 0 = t*q + 8 + 7 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*b**3 + 32798*b**2 - 26856606*b - 59243382.\nAnswer: -2*(b - 1641)**2*(5*b + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*((-18)\/4 + 3). Put 1, -1\/2, p in descending order.\nAnswer: p, 1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - 1. Let x be h(3). Let z = 7 + x. What is the least common multiple of 6 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 242, 232, 220, 206, 190, 172, 152?\n\"Answer: -m**2 - 7*m + 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1862178663?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 321499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.63605942 to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/425*-2*(-10)\/2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 194119, -0.1, 0.2 in descending order.\nAnswer: 194119, 0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 46445 (base 8) in base 11?\nAnswer: 13924","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - 1013020320132?\nAnswer: -1013020320210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -4457000 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 e, and 1 d when three letters picked without replacement from {v: 1, d: 1, a: 2, e: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -18. Let f(i) = 62*i**2 - 2*i + 20. Let y be f(s). Is 3\/1*y\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - (-63)\/6)*6. Let y = -32 + j. Is 20 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9810241?\nAnswer: 7, 17, 11777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12220 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.446699908 rounded to five decimal places?\nAnswer: 0.4467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5303365 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9821 + 9820. Which is the closest to -1\/10? (a) m (b) 1\/4 (c) -0.04 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h - 18 = -21*h. Let n(f) be the second derivative of 3\/2*f**2 + f + 0*f**h + 0 - 1\/6*f**4. Differentiate n(o) wrt o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, c: 7}. Give prob of sequence xc.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 25, -5 in decreasing order.\nAnswer: 25, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 6*d - 126. Suppose -5*f + 2 = p - 213, 2*p = 4*f - 186. What is the smallest common multiple of d and f?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*q - 60*q + 6060 = 0. Let m = q - -2032. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*r + 2*r = 0. Suppose -2*w - 3*y + 8*y - 17 = r, w = -4*y + 24. Suppose 2*n = v - 26, 0 = 5*n - w*n. Is 26 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8177 is divided by 105?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i + 4. Let y(a) = a**3 + 6*a**2 + 4*a - 1. Suppose -5*p + 17 = 7. Let n(f) = -2*f**3 + f**2 + 4*f - 1. Let z be n(p). Let k be y(z). Calculate b(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*u + 2*u + 3*u)*(3*u**2 - 127338 + 127340 + 8*u**2) to the form c*u + a*u**2 + y*u**3 + l and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 7 = 3*z, -5*z - 3*a - 27 = -47 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -250*d - 30*d - 66144321*d**2 + 66144318*d**2 to the form b*d**2 + i + f*d and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 309 + 88998590*p**3 - 177997183*p**3 + 88998591*p**3.\nAnswer: -2*p**3 + 309","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -226 + 236. What is the remainder when 59 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 16. Let r = 10 - o. Let l(k) = -k**3 + 5*k**2 - 2*k - 2. Calculate l(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/4 + (-213)\/(-6). Suppose -6*l + o = -11*l + 6255, -10 = 2*o. Let f = 2575\/2 - l. Do u and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94.8 - -7.2. Let f = n - 105.6. Which is smaller: 0.2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - (-3)\/(-1)) + 3 + -2. Suppose g*w - 62 = -w. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -490*p**6\/9 + 1099*p**5\/3 - 1675*p**4\/2 + 900*p**3 - 495*p**2 + 135*p - 152. Determine h so that i(h) = 0.\nAnswer: 3\/7, 3\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9 + 0.68. Let n = -0.08 + o. Let v be -2 + (-6)\/9 + 2. Which is the closest to v? (a) 1\/6 (b) n (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.2 + 6.98. Round s to 1 dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 9*u**2 + 10. Let s be i(-9). Let m = -7 + s. Suppose -m*w + 37 = -5. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -13 + 9 + 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1292.3 times -1.4611\nAnswer: -1888.17953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1723200 to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8042?\nAnswer: 2, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b5 + 2?\nAnswer: b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.916 - 1.186. What is the nearest to 1 in 3\/2, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.17 * 0.2.\nAnswer: -2.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 21, -0.3, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -29*z**2 + 20*z. Let u(y) = -57*y**2 + 41*y. Let w(s) = -5*h(s) + 2*u(s). What is the second derivative of w(n) wrt n?\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - ((-4 - -18) + -7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 p when three letters picked without replacement from wwqwqwppqqw?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8240034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/264 and 15\/347414.\nAnswer: 45858648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40827)\/(-119847)*(-637)\/(-7)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 2*q - 45. Let y = 2 + q. Let g(j) = j - 4. What is the units digit of g(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 6. Suppose 2*n = 13 - x. What is the second derivative of 3 + 18*f - n - 12*f + 3*f**3 wrt f?\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**2*o**2 - 202*b**2 + 704834*o**5 - 860*o wrt o.\nAnswer: -4*b**2 + 14096680*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 264 + -10620?\nAnswer: -10367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3344 = 167*q - 169*q. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzq when four letters picked without replacement from {z: 3, a: 2, q: 3}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 485 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (5 - -1)) + (4 - 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/22 and 43\/634.\nAnswer: 6974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*k**2 - 3*k**2 + 5*k**2 + 44*k - 44*k.\nAnswer: -13*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515 is divided by 134.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 148*x**2 - 7*x - 4. Let i(y) = -301*y**2 + 14*y + 7. Give 4*i(d) + 7*j(d).\nAnswer: -168*d**2 + 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 67*z**2 - 35*z**2 - 32*z**2 - 1 + 2*z + 6*z**3 in the form s*z**3 + v + w*z + b*z**2 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v - 3. Suppose -6 = 3*s - 12. What is the lowest common multiple of d(s) and 1 + 2 + 2\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(242) + (sqrt(242) - (2 + sqrt(242) + 1)))**2.\nAnswer: -22*sqrt(2) + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*((1 - 1 - 2)*(8*t + 3 - 3) + 31 + 2*t + 15 + 66).\nAnswer: -14*t + 112","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -39a9b7?\nAnswer: 39a9b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26.9 - -25. Let i = 0.1 - q. Let y = -0.1171 - -0.0171. Which is the smallest value? (a) i (b) -6 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -16, -3*s = -5*o - 14 + 673. Let g = -81 - s. Calculate the greatest common factor of 330 and g.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -k**6\/360 + 91*k**4\/12 + 111*k. Let o(s) be the third derivative of h(s). Let d(w) = -351*w. Determine d(o(a)).\nAnswer: 702*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001545843 to 6 decimal places.\nAnswer: -0.001546","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-12))\/((-8)\/(-32))*(-48 + 39)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -3 + (-351)\/69?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**3 + 2*o**2 + 2*o + 1. Let l be n(-2). Let d = -2 - l. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137 + 31 - c + 18.\nAnswer: -c + 186","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -377017\/6249 + -2\/2083. Let t = 23714\/393 + j. Let a = t + -15857\/786. Find the common denominator of -6 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -75*c + 2. Let n(r) = 84*r - 2. What is -3*n(y) - 2*p(y)?\nAnswer: -102*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s - 20 = -6*s + 5*k, -s = -2*k + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**5*(d\/(d*d\/d**(-11\/5)))\/d assuming d is positive.\nAnswer: d**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + c + 1 = 0, -350*u + 7*c = -353*u + 9 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -3786.9?\nAnswer: 15147.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0019442067 rounded to four dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 42*m**2 + 11*m + 33. Let w(g) = -5*g**2 - g - 3. Let t(y) = 22*w(y) + 2*z(y). Let i(h) = -86*h**2 + h. Calculate i(t(a)).\nAnswer: -58136*a**4 - 26*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52)\/1 - (3203 - 3219).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-10)*(21\/63)\/(21\/28).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-992 - -983) + (28 - 1) - (-2 - 33).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1693593 to the power of 1\/2, to the nearest integer?\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2955 - 2469.2. Let d = m - 420. Let o = d - 61. Round o to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3321 - 3183. Which is the closest to 0? (a) -4 (b) 0.5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 2*x + 7. Let c(t) = -t**2 + 2*t - 6. Let q(a) = -7*c(a) - 6*z(a). Let w be (-4)\/6*2295\/(-30). Let d be w\/(-34)*5\/((-30)\/8). Determine q(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 66*k**2 - 204*k + 214. Calculate b(-69).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = m + 3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x + 6*x + 5*x + (-1 + 0 + 3)*(-x + 3*x - x))*(115*x**2 + 111*x**2 + 96 - 225*x**2).\nAnswer: 7*x**3 + 672*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 24*n**2 - 143*n + 170. Give c(28).\nAnswer: -698","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, j: 7, f: 2, y: 3, p: 3}. Give prob of picking 1 m and 2 f.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 21 = -28*q + 31*q, q = -4*g - 13 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 44248148333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 51\/2 of a millimeter?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1745, 2136, 2785, 3686, 4833, 6220, 7841, 9690?\nAnswer: 11761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 322 + 3400. What are the prime factors of d?\nAnswer: 2, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 27541.43 millilitres?\nAnswer: 27.54143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - q - q)*(-3*q**2 + 5*q**2 + 0*q**2) - 2*q**3 + 4*q**3 - 3*q**3 + 7*q**3 + 2*q**3 + 0*q**3 + (-2*q + 0 + 0)*(-4*q**2 + 6*q**2 - 3*q**2).\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/97768 and -17\/1111?\nAnswer: 97768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/3))**(-1\/6)*(k*k\/(k**1\/k)*k)\/k*k**13)**41 assuming k is positive.\nAnswer: k**(11029\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/7 and 83\/973728.\nAnswer: 973728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-9))\/((-12)\/(-108))*(-1)\/2. Find t, given that n*t + 0 - 1\/2*t**3 + 0*t**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 289*k - 1446. Determine r(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/3864 and 53\/210.\nAnswer: 19320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -216153\/92 or -2348?\nAnswer: -216153\/92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 6) to base 12.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/(-15) + (-28)\/(-5). Suppose -d*k + 3*t - 5*t = 0, -3*t = 4*k. Solve -4*l - n + 9 = -0*l, k = -3*n + 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 5\/2, 0.3, 39?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.117 - 0.227. Let o = -2.89 + z. Let f = 3 + -3.3. What is the closest to -0.1 in o, -3\/7, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -904 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 334 = -5*x, 197 = 3*x - 0*x + 4*j. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 6:34 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 37 + 32 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-14) - (-5)\/10) + (-5)\/140?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94527.\nAnswer: 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 9. Suppose -2*x + 3*q = q - 2, q = -4*x + o. Suppose -8*p = -4*p - 28. Calculate the smallest common multiple of x and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 9*b + 2*d = -39, 4*d + 67 = 5*b. Suppose -r + 540 = b*r. Let j be (0 - -6)\/(1\/3). Calculate the greatest common factor of j and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006123512 rounded to five dps?\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51 (base 12) to base 4.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (-2)\/1 + 10. Suppose -b = 5*l - 41, -37 = -4*l + b + 3. Suppose -j + r = -l. List the prime factors of j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 3*j + 2. Let b be p(-6). Suppose 0 = 4*k - 8 - b. Let r = k + -3. Calculate the smallest common multiple of r and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -3*b + 2*m + 15, 2*b + 5*m - 10 = 0. Suppose 21 + 79 = b*l. What is the units digit of -2*((-8)\/40 - 806\/l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 1997, 46.3 in descending order.\nAnswer: 1997, 46.3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36864.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.26 and 184.4614.\nAnswer: 184.7214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 7:09 AM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -15.62*-0.095\nAnswer: 1.4839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + -3 + 4)*0. Let m(k) = -k**3 - 3*k**2 + 3*k - 4. Let a be m(-4). Suppose o + a - 3 = n. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60176739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 17*v**3\/3 - 3*v**2 - v + 18. Is z(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 5, 4 in decreasing order.\nAnswer: 7, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - 63*x - 840. Give c(-42).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of x**6\/540 - x**4\/27 - 17*x**2\/2 + x. Let i(b) be the first derivative of o(b). Solve i(a) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 11:33 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 4 - h + 17 + 12*h**2 + 0 + 1 to t*h**2 + d*h + p and give p.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let z**2\/6 + 154*z\/3 + 7585\/2 = 0. Calculate z.\nAnswer: -185, -123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 5\/2*l**4 - 45\/2*l + 5\/6*l**3 - 45*l**2 + 34. Find d such that s(d) = 0.\nAnswer: -3, -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-22)\/3)\/(0 - (-8)\/12). Let x(a) = -a**2 - 7*a - 5. Let f be x(-4). Let o = f - v. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 0*d - 192. Let w = 101 - d. Calculate the remainder when w is divided by 3\/(-1 + 26\/20).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/2 + 8967*d**2 - 71768*d.\nAnswer: d*(d - 8)*(d + 17942)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198075?\nAnswer: 3, 5, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*i**3 - 60*i**2 - 12*i.\nAnswer: 3*i*(i - 2)*(11*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**5\/5 + 103*z**4\/5 + 122*z**3\/5 - 364*z**2 - 5368*z\/5 - 832 = 0. Calculate z.\nAnswer: -2, 5, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*n = 4*r - 57, -5*n = 5*r - 75. Let l = -9 + r. Solve 0*f = -l*f - 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 2*g**2 - 9*g + 5. Let d be b(6). Which is smaller: 3 or d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -s**9\/12096 + s**7\/3360 + 2*s**3 + 9. Let q(x) be the third derivative of n(x). Factor q(h).\nAnswer: -h**3*(h - 1)*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 10:30 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 10*t - 55. Let h be o(6). Put 1, 0, -5, h in descending order.\nAnswer: h, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 41 - 6 = 0. Sort 0, 3, z, -1 in decreasing order.\nAnswer: 3, 0, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -3*h**2 + 11*h + 14023. Let s(z) = 27*z + 2. Determine s(y(b)).\nAnswer: -162*b + 299","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 7*y**2 - 5. Let p(u) = 3*u**2 - 2. Let c(m) = -2*k(m) + 5*p(m). Let s(l) = -38*l. Determine c(s(n)).\nAnswer: 1444*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4061236654?\nAnswer: 2, 31, 65503817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 3*o + 7*o + 18, w + 16 = -3*o. Which is the closest to 50? (a) 0 (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -196 + 196. Which is the nearest to -0.1? (a) -0.5 (b) -0.3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2 + 0)*(1 - 2 - 1) - 12 + 15 + 22)*(2*c + 4*c - 4*c).\nAnswer: 54*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5556*d*r**2 + 1162*d*r - 3*d + 26*r**2 - 70 wrt r?\nAnswer: -11112*d + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 421*i = -487*i + 11804 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 20559424 from -3.\nAnswer: -20559427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 341*a**2 + 534*a**2 - 47*a**2.\nAnswer: 828*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 63, 145, 259?\nAnswer: 405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17942 divided by 261?\nAnswer: 17942\/261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 3*d**3 + 199 + 259 + d**3.\nAnswer: -2*d**3 + 488","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (9\/3 + -3). Suppose -y = -4*x + q - 17, 2*x = -y + 10. Is y a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4\/9 - 8\/9*k**3 - 22\/9*k + 26\/9*k**2 = 0?\nAnswer: 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 5. Let w be q(-3). Suppose -w*d - 4 = -2*k, 3 = 3*k - 5*d + 1. Suppose k*l - 8 = 76. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 - -41. Suppose s*h = i - 330, 0 = -0*h + 3*h + 2*i + 339. Do -111 and h have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -23*m**3 - m**2 - 2*m + 1. Let q = -158 + 156. Is 6 a factor of h(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10782 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12*40\/(-2100))\/(4\/(-10)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 667771712?\nAnswer: 2, 10433933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 140\/30*20\/(-24)*18\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 117*a**2 - 251*a + 640. Determine x(3).\nAnswer: 940","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 13 - 35 - 6 = -4*y, -18*c + 27 + 43 = -y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 13\/12 of a minute?\nAnswer: 65000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -28 or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**23)\/(l\/(l*l**8*l*l*l)))**33)**5 assuming l is positive.\nAnswer: l**5775","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxx when three letters picked without replacement from xnxnnnxnxx.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 61*i**2 - 722*i + 59. Determine o(12).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3231 = -31*q - 4*q - 1376 for q.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 15) in base 5?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -140, 36\/7, 1\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 6 = -2*a, -16*c = a - 20*c - 3. Solve m - 2 = -q, 0*q - 2*q + 3 = a*m for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/((-35)\/6))\/(108\/1440).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 129, -205 in decreasing order.\nAnswer: 129, 4, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6719 - -6727. Let f be ((-7)\/(-7))\/(0 - 1). Sort f, -4, -5, l in descending order.\nAnswer: l, f, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -437.14 (c) -1 (d) -5 (e) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 less than 0.393164582?\nAnswer: 100.393164582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 129545974903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 6. What is k(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -2\/3*z**3 + 0*z + 0*z**2 + 1. Let a(o) = -1 - o + 1. Determine r(a(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -2\/1356093?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*i + 2*i**3 - 9*i - 626592 + 626589 + 12*i**4 + 10*i**2 in the form w*i**4 + c*i**3 + l + z*i + h*i**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 11) to base 5\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20131 - 1300?\nAnswer: 14431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3\/5, -1\/2, 4 in ascending order.\nAnswer: -5, -3\/5, -1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107590 is divided by 4138?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 9. Put -2\/7, 4, k in descending order.\nAnswer: 4, k, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 745081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10532*v - 31688*v + 10516*v + 10562*v + 4*v**2 - 2*v**2.\nAnswer: 2*v**2 - 78*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(14)\/(sqrt(2)*-4))**2.\nAnswer: -35\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**3 - 13*k**2 + 10*k + 24 = 0. Calculate k.\nAnswer: -1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/(112\/(-113) - -1). Round a to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10383532, 20767074, 31150616?\n\"Answer: 10383542*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wlwlwjllljwww. What is prob of sequence wlwj?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -409 - -45910?\nAnswer: 45501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4062*t**4 - 169*t**3 - 16*t**2 + 43818 wrt t.\nAnswer: 97488*t - 1014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and -102.\nAnswer: -101.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -6*x - 60. What is n(-20)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69 and 39468.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*h - 0. Solve 0*n = -3*n - h for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*b + 498. Suppose 0 = 4*u + k + 183, -5*u - 5*k + 3*k = 225. Let d = u - b. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -21\/4, 0, -99?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 - -41. Suppose 0 = 2*n - 4*f - k, -f - 29 + 70 = 5*n. Calculate the remainder when 35 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36.18 + 36. Let t = r - -0.08. Put t, -0.3, 2 in descending order.\nAnswer: 2, t, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.4, 0, 2\/1833?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 3*k**3 + 587415*k**2 + 28771432536*k + 1638063698796 = 0.\nAnswer: -97874, -57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24885, 24981, 25077?\nAnswer: 25173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 4:08 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13327 divided by -19?\nAnswer: -13327\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**3 + 38797*s**2 - 38797*s**2.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 + 1377 - 1377.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-81)*(-3)\/6. Let v = 1 + -1. Are n and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(4\/13)*r)**43 assuming r is positive.\nAnswer: r**(731\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 452 and 12204.\nAnswer: 12204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 10 = 15*t. Let o(j) = j + 1. What is o(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, i: 5, z: 3, t: 1}. What is prob of picking 1 i, 1 b, and 2 z?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -88197*v**4 - 3674*v wrt v.\nAnswer: -1058364*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*g*m**2*w - 81*g*m**2 + 460*m**3*w - 27*m**3 wrt w.\nAnswer: 8*g*m**2 + 460*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1\/3, 2, 1, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/10)\/(14\/(-20)). What is the biggest value in -3\/10, u, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -170 (b) 1 (c) 2\/859 (d) 0.1 (e) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1524 (b) 5 (c) 13 (d) 6.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7718\/85 - 4\/5 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21\/2*a**2 - 3*a + 0 = 0 for a.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + -49. Let y = 72 + h. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*i - 18, 45 = i - 6*i - 5*u. Let l = -3067\/4 + 767. Which is the biggest value? (a) l (b) -1\/7 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 29 = 27 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -2. Let h(p) be the second derivative of 1\/20*p**5 - 1\/6*p**4 + 1\/2*p**2 + 0 - 1\/3*p**3 - 4*p. What is h(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0.0914\nAnswer: 5.0914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6376291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -8*o. Let m(v) = 1652810*v**2. Calculate d(m(n)).\nAnswer: -13222480*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 521834.918 + -521396. Let a = l + -439. Round a to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.13 > 648472?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76359.\nAnswer: 3, 25453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/17 + 24*b + 410\/17.\nAnswer: -2*(b - 205)*(b + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*y, -3*o + 2*y = -7*o + 22. Let u = 13 - o. What is the highest common divisor of 99 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -263.2 + 263.7. Let d = 0.04 - -0.05. Suppose -4 + 16 = 3*g - 4*t, -5*g = t - 20. Which is the nearest to d? (a) 0 (b) g (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -410.2 + 410.3. Let i = -2.92 - 0.08. Which is the nearest to -6\/35? (a) i (b) -4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 27*v - 2. Let l be h(1). Solve 2*u + 3*p + l = 0, 2*u - 15 = u + 4*p for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 158 = 153. Let w be -1*(u + 6) + 4. Sort -3, 3, -20, w in increasing order.\nAnswer: -20, -3, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-19)\/(-38))\/((-2)\/40)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 27*p - 4851. Let c be l(180). Solve c*n - 21 = -3*j + 6*n, -4*n = -4*j - 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 17*s**2 - 9*s + 40. Is 25 a factor of z(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -184, -733, -1650, -2935, -4588, -6609, -8998?\n\"Answer: -184*a**2 + 3*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*t = 98*t - 4528. Is 28 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 833 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2951 bigger than -2959?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*r + 113 - 337 = 0, -3*n + 2*r + 607 = 0. Let j be ((-1)\/1)\/(200\/n - 1). Let o = 9 - j. Does 26 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + -15 - (-1 + 5 - -4)) + (6 - 2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -116 + 196. What is the highest common divisor of 32 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299 a factor of 208688247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - 3\/((-6)\/(-4)). Suppose 3*t + 12 = -d, -4*t = -d - n*t + 13. Let z = -10 - -11. Put d, z, 0 in ascending order.\nAnswer: 0, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -3 + (1 - 1) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g. Suppose -7*z + 92 + 34 = 0. Let v(l) = z - 2*l - 18 + l. Determine v(n(i)).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r - 1. Let q(a) = 26*a + 4. Suppose 0 = -8*h + 10 - 2. Let m(t) = h*q(t) + 4*p(t). Let n(z) = -z. Calculate m(n(v)).\nAnswer: -22*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from qjzjaozjzqooqqjo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.1 + 1.1. Let n be (-8)\/(-20) - 4\/5. Which is the nearest to -2\/5? (a) 0 (b) n (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17304 divided by -2884.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2 + 13069*j**3 - 12786*j**3 + j**2.\nAnswer: 283*j**3 + j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = i + 17. Let r(m) = 10*m + 93. Let s be r(-9). Suppose 0 = s*f + 3*f - 54. What is the highest common divisor of f and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13.721 + -14.303. Which is smaller: 1\/2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45627.47 years to months.\nAnswer: 547529.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 5*g**4\/4 - g**3 + g**2 + 3. Let v be d(2). What is the highest common factor of v and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*i**4 + 1594*i**2 - 49630 wrt i.\nAnswer: -16*i**3 + 3188*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*b**3 + 29923*b**2 - b - 16322217 wrt b?\nAnswer: -36*b**2 + 59846*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p = 21 - 183. Solve g + 4*z + 4 - 11 = 0, -g = 5*z - p for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((5088\/(-5989))\/(-96))?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -10*m + 8*m + 7*m. Let g(x) be the third derivative of x**5\/60 - 5*x**4\/24 + 7*x**2. Let o(k) = -2*k. Let v(a) = -2*g(a) + 5*o(a). Calculate v(h(y)).\nAnswer: -50*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.1 + 11.1. Sort -1\/3, 3\/2, y.\nAnswer: -1\/3, 3\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 4*n = 61 - 37, -3*d - 4*n = -16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 95058*p**2 + 3*p**3 - 40*p**4 - 95058*p**2 + 2*p + (-p**4 - 5*p**4 + 4*p**4)*(-2 + 0 + 1).\nAnswer: -38*p**4 + 3*p**3 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 0)*0\/2. Suppose -t + o = -1. Let w be t\/(3*(-2)\/(-30)). Solve w*m = 15, -5*j = -m - m + 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52176774722*r**2\/13 - 7752912*r\/13 + 288\/13.\nAnswer: 2*(161519*r - 12)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3 + 1 = 0. Suppose -a - 11 = -4*t + 1, -j*t = -3*a + 4. Solve a*u + 2*l = 6*l + 4, u - 1 = -4*l for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 94655664 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(38)\/sqrt(2) + 0 + ((-4*(sqrt(19) + sqrt(76)))**2 - (sqrt(209) + sqrt(209)*-2)\/sqrt(11)).\nAnswer: 2*sqrt(19) + 2731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -207*m + 284. Is x(-4) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40273 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 25*l - 173. Let q be r(7). Suppose -3*h = 8*j - 3*j - 32, -4*h = -q*j - 8. Which is the nearest to -2? (a) -1\/5 (b) h (c) -1 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -3*i - 16, 3*i - 2*s + 3*s = -8. Let j be -3 + 17 - i\/2. Calculate the highest common factor of j and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 14*w**2 + 15*w + 32. Determine y(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p**2 - 71 - 10*p + p**2 + 22 + 0*p**2. Let u(l) = -5*l**2 + 9*l + 51. Let m(y) = -4*c(y) - 5*u(y). Differentiate m(r) with respect to r.\nAnswer: 2*r - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, t: 2}. What is prob of sequence qttt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*m**5 + 61113*m**2 + 197614*m - 2 wrt m.\nAnswer: -180*m**3 + 122226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -395*a**3 + 3490625*a**2 - 7068020*a + 176700 = 0. What is a?\nAnswer: 2\/79, 2, 8835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 67 + 18 = 0. Is k bigger than 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000392081477 rounded to seven dps?\nAnswer: -0.0000392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m - 7*m - 5*h - 1 = 9*m - 27*m + 11, 6*m = -h + 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22806 and 10850769.\nAnswer: 1629","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 - 908?\nAnswer: -843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -7*a**2 + 0*a**4 - 1\/15*a**5 + 0 + 0*a**3 - a. Let l(i) = -12*i + 4*i**2 + 12*i. Determine l(x(o)).\nAnswer: 64*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25\/6 + -383\/90. What is the common denominator of j and 39\/25?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -590, -2705, -6920, -13799, -23906, -37805?\n\"Answer: -94*l**3 - 486*l**2 + l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1279 (b) -159 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -66325 - 61?\nAnswer: -66406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/116355715 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 + 148*t**2 - 288*t.\nAnswer: -2*t*(t - 72)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 2*f**2 - f + 32. What is the smallest common multiple of 9 and m(0)?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*r + 50 = 155*r for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4356.567 and -5.\nAnswer: -21782.835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2 = -0*s, 0 = 3*w + 4*s - 11. Suppose d + 5 = -2*o, -o - 3*o - 30 = -2*d. Suppose -709 = -d*k + 4*y, -2*k - w*y + 87 = -190. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 10, v: 3, g: 3, k: 2, i: 1}. What is prob of picking 2 g?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/20 and -25\/74.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/8 - (-84)\/(-16)*-1. Let c = 2 - 2.3. What is the second biggest value in i, 2\/5, c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -13. Let d = 4.1 - 0.1. Let j = -1\/46 - -97\/230. What is the nearest to u in 3, d, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 2*z + 5*f = 15, 0 = z + 3*f - 6. Let c be (-8)\/6 - -2 - (-50)\/z. Suppose 0 = -3*v - w + 3*w, 2*v = -3*w. Solve -12 = -v*q + c*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21.5 + -24. Let n = r + 2.50000048. What is n rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 90\/8 - 3\/12. Let f = 16 - d. Suppose -f*n = -0*n - 110. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 255826072?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 15*d + 8. Let o be v(4). Let y be (-3)\/12 + 27\/o + 2. Suppose u - 28 = -2*n + 36, 5*u + y*n - 338 = 0. Is u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-40)\/2)\/(-4))\/((-35)\/(-28)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 10:38 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**8\/x)\/((x\/x**(8\/7))\/x))\/((x*x**4)\/x)**(-34) assuming x is positive.\nAnswer: x**(1009\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4831 - 0.484. What is j rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11215 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/7))**(1\/21))**(-1\/28)\/(v\/(((v*v\/v**5)\/v)\/v)*v**(-3)\/v)**3 assuming v is positive.\nAnswer: v**(-12349\/2058)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 655*g + 71*g + 57 - 64.\nAnswer: 726*g + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 338 + 894 = 0. What is the highest common divisor of m and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 6:23 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3*k**2 + 0 + 3*k - 2*k**4 - 2*k + k to the form p*k**4 + o*k**2 + c + r*k + g*k**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c + 2. Let l be w(2). Suppose l*f + 9 = -7. What is the units digit of 1\/(-2) + (-34)\/f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, -4, -3\/8, -1\/3 in increasing order.\nAnswer: -4, -3\/8, -1\/3, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.054 and 1550.4.\nAnswer: 83.7216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -112117.79 to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 1386496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**2*j**2*z**2 + 3*i**2*j**2*z + 77*i**2*j**2 + 1472*i**2*j*z**2 - i**2*j - 3*i*j**2*z wrt z.\nAnswer: -2*i**2*j**2 + 2944*i**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - v**3 + 1\/2*v**2 + 1\/2*v**4 + 0*v.\nAnswer: v**2*(v - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7505 + 7886. What is the remainder when v is divided by 45?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -269 - 1 + 90 + 85 - 2*b**2 to the form n*b**2 + a*b + l and give l.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 10, h: 1, i: 8}. What is prob of sequence izhz?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -12*a. Let d(s) = -s**2 + 46752. Give d(q(u)).\nAnswer: -144*u**2 + 46752","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -390318\/79 or -4940?\nAnswer: -390318\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1547 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b. Let v(k) = 93*k. Give v(i(f)).\nAnswer: -279*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 7) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 350777 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.040031594 to three decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 363 divide 2266935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2132736795 to the nearest integer?\nAnswer: 1287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 51453 + -4?\nAnswer: 51446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(21) - sqrt(231)\/(sqrt(22)\/sqrt(2)))\/(1*sqrt(28)\/sqrt(4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 23794 (base 12) to base 8\nAnswer: 135240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1355, -2070, -2799, -3548, -4323, -5130?\n\"Answer: -k**3 - k**2 - 705*k - 648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b - 29c?\nAnswer: -281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -1046205463?\nAnswer: 1046205500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -14833?\nAnswer: -14831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/5 - (-4680)\/150. Let t = 35 - i. Solve -t*k = -k + 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15224286 divided by -692013?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1194 * -2987.\nAnswer: -3566478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/114591?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3333512120 + -45?\nAnswer: 3333512031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u - 7. Let h be v(5). Suppose -7*s = -h*s + 32. Let a(o) = -o**2 - 8*o + 4. Let x be a(s). Solve -2 = -b - x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**2 - 7*c - 12. Let z(i) = -i**2 + i + 1. Let x(g) = -h(g) - 6*z(g). Let o(l) = 6*l**2 + 2*l + 13. Give -6*o(v) + 13*x(v).\nAnswer: 3*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*(sqrt(17)*3*1 - sqrt(17)))**2 + (0 + (sqrt(2448) + -1)**2 + sqrt(2448) + sqrt(17))*4.\nAnswer: -44*sqrt(17) + 10884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**17*v*v**38 assuming v is positive.\nAnswer: v**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 756312.\nAnswer: 2, 3, 31513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*v + 2. Let c(l) = l + 2. Let a be c(4). Let f(g) = 5*g - 2 - g**2 + 5*g - a*g + v*g. Calculate f(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -7*n**3 - 318*n**2 - 182*n - 2125. Give i(-45).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 6. Suppose -5*m - 36 = 4*y, -y - i = 3*m + 4. What are the prime factors of (-1 + (-33)\/y)*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m**2 - 6*m + 7. Give g(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24574 is divided by 410?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48107915493855 + 0.7.\nAnswer: -48107915493854.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -718 - -718.557. Let r = 0.057 - q. Let b = 0.047 - 0.247. What is the closest to -2 in b, -2\/9, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -54 - -1231044335?\nAnswer: 1231044241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*b**2 + 69*b**2 + b**3 - 9 + 2*b**4 - 29*b**2 - 8*b + 6 to c*b**3 + h + x*b**4 + u*b**2 + m*b and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -24. Let h(u) = -u**3 - 10*u**2 - 11*u + 8. Is h(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1330*863\nAnswer: 1147790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -19437*q - 1. Let a(y) = y**2. Determine r(a(l)).\nAnswer: -19437*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-13 - (-4 - -1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 - 14. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085637031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/9)\/(5\/18*(-45)\/300)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -11*w + 2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 - -1 - 60\/6. Let x = i - -17. Let c(r) be the third derivative of -r**4\/6 + 2*r**3\/3 + 105*r**2 - r. Calculate c(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) -5 (b) -3\/4 (c) 309\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 156621 and -829.\nAnswer: -129838809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 911.067ug?\nAnswer: 0.000000000911067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 306\/(63\/7) - 9. Let w(s) = -7*s - 1. Let a(b) = -3*b. Let z(j) = 10*a(j) - 4*w(j). Let v be z(-3). Solve -15*m - n = -v*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*m + 1 + 134 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 8*y**2 - 5*y - 1. Suppose 7 = 5*w + 2, w - 31 = -5*x. Calculate h(x).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47656982?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifteen quarters of a tonne?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*sqrt(99)*-2)\/(sqrt(36)\/sqrt(4)*4 - sqrt(9)).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u - 41*u = -210. Let p = -1.859 + -0.041. Is u at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -71490218\/5 and -14298043 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 141296 and 96.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -461471*c - 7383563. What is w(-16)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 149358552284.134 and 4.\nAnswer: 149358552288.134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -20*t + 59. Let q be (-170)\/(-7) + (-10)\/35. Calculate the greatest common divisor of q and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2438 smaller than -2438?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b - 176?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 190*m**2 - 7617*m + 1536218. Determine f(192).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a + 0 + 2 + 4*a + 5117*a**2 + a**3.\nAnswer: a**3 + 5117*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7803.975238 rounded to the nearest integer?\nAnswer: 7804","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -8. Suppose -o*t + 39 = -4*x - t, 5*x = 5*t - 45. Let y be 3\/6*x + 10. Solve p - 3 = -y for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4112785, 4112802, 4112809, 4112800, 4112769?\nAnswer: 4112710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108327*j - 108346*j = -304 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -194.52 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 53094473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-7)*c*c**(-5)*(c*c**(1\/2))**40 assuming c is positive.\nAnswer: c**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -0*b + 200. Let i be 234\/(-10) - (-15)\/b. Let j = 29 + i. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10080 a multiple of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -3403?\nAnswer: 3400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 113*z**2 - z + 2. Is r(2) a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51\/527)\/((-9)\/(-6)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((16\/(-10))\/2)\/(-2). Let m = g - -1\/10. What is the second smallest value in 4, -3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219591617 a multiple of 251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 355.4741um to meters.\nAnswer: 0.0003554741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -51*p**2 - 90 - 97 + 73 - 62*p**2 wrt p.\nAnswer: -226*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 77005 and 140.\nAnswer: 2156140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 5*o + 9. Suppose -314 + 258 = 8*z. Give i(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s - 2*s - 6*s + s to the form q + l*s and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (1 - 8) + (-68 + -35 - -88)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57 + -57.000172. Round n to five decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8484 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52 + (-11730)\/225 - 116\/30?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89060, -89062, -89064, -89066?\nAnswer: -89068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -1 - (16 + -9 - 8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -420 + 1220. Let y = 1729 - s. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.6, -0.1, 4\/5, 3 in descending order.\nAnswer: 3, 4\/5, -0.1, -5.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*m + 6076 = 22*m for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/(-3))\/(1\/51). Suppose -4*y + 2*t = -28, 4*y - 4*t = -7*t + 28. Suppose -y*b = -b - m. List the prime factors of b.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -g + 4, g - 28 = -g + 2*d. Let f be ((-6)\/g)\/(-2 - -1). Let q(p) = p**3 - 3*p**2 + 2*p. Let w be q(2). Is f <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2267\/42 - 94\/21. Let z = 50 - w. Which is the second smallest value? (a) -6\/7 (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/(-21))\/(3\/(-21)). Suppose w - 7*m = -i*m + 18, 2*w + 2*m + 4 = 0. Calculate the greatest common factor of 22 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12175, -48932, -110203, -195994, -306311?\nAnswer: -441160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.95584 days in seconds?\nAnswer: 6908184.576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 26088\/1087*1\/(-3)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2536991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 <= 129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/10 in -5, -346818, 1\/4, -1\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 + 1168*v + 7078. Give a(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/26240 and 49\/1640.\nAnswer: 26240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**5\/60 + w**4\/12 - 4*w**2. Let b be y(-4). List the prime factors of (b\/(-20))\/(2\/25).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w**2 + 50*w - 28. Let p be r(-13). Suppose -3*i - 2 = -2*i. Let l be 2 + (i - (-36)\/(-26)). Do p and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*z**2 + 4*z**2 - z**2)*(-2*z + 2 - 2) + 2*z**3 + 6*z**3 - 3*z**3 - 3*z**3 + 0*z**3 + 2*z**3)*(1 - 4 + 1 + (-1 + 4 - 4)*(4 - 3 - 2)).\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2512041473008085\/48146 + -52175496879. Let n = 5\/3439 - l. What is the common denominator of 31\/20 and n?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12\/68531 + 411030\/890903. Factor -t*x**2 + 0*x + 8\/13 - 2\/13*x**3.\nAnswer: -2*(x - 1)*(x + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 136 and 60724.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + b**2 + b + 1. Let d = -10 - -11. Let y(c) = -5*c**3 - 2 - 1 - 6*c**2 - 2*c - 2*c. Determine d*y(n) + 4*f(n).\nAnswer: -n**3 - 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 less than -7436958?\nAnswer: -7436867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 131 + -125. Suppose 0 = 17*a + n*a - 27485. What are the prime factors of a?\nAnswer: 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160575 is divided by 62?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 397245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.031 * 1.827.\nAnswer: -0.056637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) 288 (c) -0.3 (d) -5 (e) 0.139 (f) 5 (g) 2\/9\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 9:32 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1041433 - -1300004?\nAnswer: 2341442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38 - 151*i**2 - 4*i**3 + 18 - 2*i + 20 to the form y + h*i + a*i**3 + f*i**2 and give f.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 193 minus -113?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + p**3 - p**2 - 3*p**3)*(-5 + 7 + 1).\nAnswer: -6*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*h - 11033 = 0, 71*h - 68*h - 14701 = -4*y. What is the closest to y in 4\/5, -1\/4, -2\/7?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, z: 5, y: 5, f: 3, k: 1}. What is prob of picking 1 u and 2 f?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.797202 millennia in years?\nAnswer: 797.202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -4*y**3 - 65388*y**2 - 267126300*y + 801967500 = 0.\nAnswer: -8175, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*q - 39*q + 3 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31*j*k**3*u + 5*j*k*u - 5*j*u**2 - 6*k**3*u**2 + 2*k**2*u**2 - 3*u**2 wrt k?\nAnswer: -186*j*u - 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 28d33 + -1?\nAnswer: 28d32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 4*p - 150, -3*z = z - 3*p - 120. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99363009?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, i: 2, r: 1, x: 2, p: 2}. What is prob of sequence rsx?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*c + 42*c + 1200. Let q be -175*16\/c - (-2)\/(-3). What is the greatest common factor of q and 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {q: 7, a: 3, p: 9}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 + 130?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3984 and 371840.\nAnswer: 1115520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*sqrt(441))\/(sqrt(14)\/sqrt(32)).\nAnswer: 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4.7 times 60\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 6 - 14. Find the second derivative of -16*m + c - 27*m**5 + 1 - 5 wrt m.\nAnswer: -540*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (81\/(-6))\/27*22\/(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.01 - -0.39. Let x(u) = u**2 - 1. Suppose 7 = 5*n - 3. Let t be x(n). Sort d, -2, t.\nAnswer: -2, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -u**4\/12 - 5*u**3\/6 + 4*u**2 + u. Let h = 988 - 994. Let d be f(h). Solve 4 + 0 = d*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127958 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2. Let g(p) = -4*p + 481*p**2 - 4*p - 483*p**2 - 7*p + 4*p + 73. Calculate g(j(u)).\nAnswer: -2*u**4 + 11*u**2 + 73","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a. Let r be 48\/30 - (-2)\/5. Let h(i) be the first derivative of 5*i**2 - 7*i**r + i**2 + 3. What is b(h(y))?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.99 + 1. Let n = i + -0.31. Put 3, -0.2, n in descending order.\nAnswer: 3, -0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1115 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14431171?\nAnswer: 14431171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*q**2 - 46*q**2 + 87*q**2.\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29\/(3915\/(-30)) + 87*(-40)\/135.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -18*l + 1. Suppose 4*d - 3*t = -32, 0 = -2*d + 3*t - 2*t - 14. List the prime factors of a(d).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of o**4\/4 - 10*o**3\/3 - 5*o**2 - 12*o + 2. Let z be h(11). Which is the closest to z? (a) -2\/3 (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4*s + 200 = 0, -20 - 24 = -h - 5*s. What is the remainder when h is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 19*k**2 + 3*k + 1. Let g be 7 + -8 + (-2)\/2. Is w(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 331311 (base 4) to base 15\nAnswer: 128c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.34 * -1\nAnswer: 0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 x when three letters picked without replacement from {t: 1, o: 2, x: 1, e: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 4*n + p + 1, 0 = -5*p + 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45858847 is divided by 1616?\nAnswer: 1615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.01 - -3.91. Which is greater: q or 1\/113?\nAnswer: 1\/113","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68\/6 - 7\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 36 + -42 + 56.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2805 in -5, 0, -326?\nAnswer: -326","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -5*q + 21, -3*s = -2 - 4. Suppose q*l = 6*l. Solve l = k + 5*z - 24, 4*z = -5*k + 3*z for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(1700) + sqrt(1700) + 2*sqrt(1700)) - 6*(sqrt(1700) + 3)) + 1)**2.\nAnswer: -6120*sqrt(17) + 551089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -679*f + 40 + 355*f + 322*f as w + a*f and give w.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85849 = -5*y + s + 129199, -86072 = -2*y + 7*s. Is y a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/19)*l\/((((l\/(((l\/l**(-15))\/l)\/l))\/l)\/l)\/l))\/(l*l*l**(-14)*l*l*l*l**(-2\/65)) assuming l is positive.\nAnswer: l**(32278\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45156 is divided by 4194?\nAnswer: 3216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhuu when four letters picked without replacement from {m: 5, h: 8, u: 3}?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 5)*(-4 + 3*z + 2 + 4*z).\nAnswer: 49*z - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 66090392713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1354 - -4?\nAnswer: 1402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 991342945.\nAnswer: 5, 198268589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - -19.89. Let o = a - -0.01. Let f = -5 - -5. What is the closest to f in 1\/4, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-2) + 22\/(-11). Calculate the smallest common multiple of 30\/g - (-3)\/(-1) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 268896\/13 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + -4*(sqrt(1372)*2 - sqrt(1372))**2 + ((sqrt(1372) + 0 - sqrt(1372)) + sqrt(1372) + 5)**2 + -1).\nAnswer: -4096 + 140*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -754756*h + 754761*h + 1124 = -16*i, -2*h - 8 = 0 for i.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -75, -144, -213?\n\"Answer: -69*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozoonzon. Give prob of picking 1 n and 1 z.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2500 by -15.\nAnswer: -500\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - -3. Let k = -2221 - -2239. What is the lowest common multiple of t and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -2012131133?\nAnswer: 2012131131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**2\/s**(-23\/2)*(s\/(s\/s**(-19)*s))\/(s*s\/s**(-1\/4)))**(3\/10) assuming s is positive.\nAnswer: s**(-21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*-68*24\/(-15708)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 7349952\/(-21) + 4\/(-14). Round m to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64 - 40. What is the lowest common multiple of z and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1\/2, 0.16 in descending order.\nAnswer: 1\/2, 0.4, 0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003892418 to 5 dps.\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 113255395 to the nearest integer?\nAnswer: 10642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.722671 rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -20172, -40342, -60512?\n\"Answer: -20170*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 11*k**2 + 10*k + 27. Let i be s(10). Let d = i + -23. Suppose -5*j - w - 10 = -6*w, -5*w + 10 = -3*j. Solve -d*p + 25 - 5 = j for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/60 and -121\/160.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4675.\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2948 and 627.\nAnswer: 168036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 at most as big as 293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13 + -14a2?\nAnswer: -14b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.1, -7\/3 in decreasing order.\nAnswer: 4, 0.1, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(153) + 1*sqrt(153)) - 6*sqrt(153)*-2)*-6)\/((-3*-3*sqrt(81))\/sqrt(9)*1).\nAnswer: -16*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 407718.\nAnswer: 2, 3, 22651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - q - 11 = 0, 0 = -2*a + a + 5*q + 31. What is the third derivative of 3*z**5 - 6*z**6 - 3*z**5 - 4*z**2 + 0*z**a wrt z?\nAnswer: -720*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 9, g: 4, a: 1}. What is prob of picking 1 a and 3 u?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/15)\/(2\/(-10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 484775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l - 2. Let n be w(7). Suppose 0 = -n*z - f + 156, -3*z + 6*z - 2*f - 91 = 0. Suppose -u - 4*u = -80. What is the remainder when z is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - 1. Let y = 104.8 + -49. Let z = y + -56. Is l > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -1. Let i = 9 + -13. Let o = -5 - i. What is the nearest to o in -3, z, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3501923?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142912, 286053, 429196, 572341, 715488, 858637?\nAnswer: 1001788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of v**6\/3 - 1603*v**4\/4 + 73*v**3 - v**2\/2 + 3737. Find the third derivative of x(y) wrt y.\nAnswer: 120*y**2 - 9618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9\/1624 or -1?\nAnswer: 9\/1624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 234 = -12*h. Let p be 741\/(-9)*1 - (-8)\/6. Calculate the remainder when h is divided by p\/(-2)*(-10)\/(-15).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*r**2 + 2*r**3 - r**3 + 20*r**2 to h*r + u*r**3 + i*r**2 + z and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of u**3\/6 + 10*u. Let b(d) = 17*d**2. Determine f(b(a)).\nAnswer: 17*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37463 is divided by 305.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 20 = 2. Let r(t) = t**2 - 11*t + 20. Let m be r(v). Suppose -4*p + m = -30. What is the least common multiple of p and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1953907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -343\/8 - -43. Suppose 0*t + 3*t = -4*d + 9, 0 = 4*d + t - 19. Let n = 21617 - 21612. Which is the closest to 1? (a) k (b) n (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 33 - 85. Suppose 0*h + 3*h = -5*z - 20, -3*z = -2*h - n. Which is the third biggest value? (a) 5 (b) -5 (c) h (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8279678569 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 15166960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 30 + 26. Suppose -22 = -b - 2*d, 2*d + 2*d = -3*b + j. Let h(w) = 4*w + 3. What is the remainder when h(5) is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 - -87. What is v rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16207 equal to 16357?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 7\/2*p + 4*p**2 - 1\/2*p**3 = 0.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -350 + 4?\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -64\/183 + 1\/61. Let j = -598\/5 - -120. Sort -2, j, a.\nAnswer: -2, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.9 + 3. Let l = -0.9 - f. Let s = -3.1 + 3. What is the nearest to 0.2 in s, l, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 10*s**2 - 9*s - 5. Let l be f(-11). Suppose -4*j + l = j. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*y**2 + 2*y + 10*y**2 + 15*y to k + i*y**2 + f*y and give f.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**2 + m. Let o be z(2). Suppose -v - 112 = -4*q + 56, 3*q + 2*v = 126. What is the greatest common divisor of o and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59469348 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.5 - -3. Let i = 19 + -6. Let k be (-1)\/i + 0\/(-2). What is the third smallest value in k, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2 + 1 = 0, -4*a - m = -21. Suppose -3*n = -a*h - 28, -2*n + n = -2*h - 10. Suppose n - 10 = -2*j. Solve 0 = -2*z - 2 - j for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/594 and -55\/16.\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38775 is divided by 12895.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70490412 divided by -41661.\nAnswer: -1692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.109236 rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w**(-1)*w)))**(-1\/54)*(w*w**1)\/(w\/(w**(-2\/17)\/w))*((w**2\/w)\/w)**(-17)*(w**(-2\/5)\/w*w*w)\/w**(-7) assuming w is positive.\nAnswer: w**(636\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1470187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 160 and -0.1.\nAnswer: 159.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 - -41)\/(-17) + 1 + 12 + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = g - 16, -r + 6*g - 3*g + 22 = 0. Suppose r*a + 32 = 3*a. Find the common denominator of (-7)\/(-42) - 2\/a and -61\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 14 = -0*h + 2*h, 19 = d + 5*h. Let b(u) = -3*u - 4 + 4. What is b(d)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -5*v**3 - 63*v**2 + 46*v + 263. Calculate h(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39416 and 1768.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/4 (b) -3 (c) -143 (d) 0 (e) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/10 and -41\/1015.\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 381 = 4*y. Is y\/(-3)*1\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8.26? (a) -3 (b) -1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -273049*o**5 - 120*o**2 + 989*o?\nAnswer: -16382940*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -v**6\/11 + 32*v**5\/55 - 12*v**4\/11 + 16*v**2\/11 + 19. Factor f(n).\nAnswer: -2*n*(n - 2)**3*(3*n + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkdd when four letters picked without replacement from dddddddgkdskdd.\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -1163, -2680 in decreasing order.\nAnswer: -9, -1163, -2680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -16. Let o = -20.026 - -0.026. Let r = 15 + o. What is the third biggest value in 0.3, v, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 18*z**2 + 23615*z + 45870. Calculate c(-1310).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -6 - ((-5 - -5) + -11)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.447 - 7.3. Let k = 0.047 - l. Let c = -24 - -19. What is the second smallest value in c, k, -0.4, -2\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 832\/182 - (-12)\/(-21). Suppose 0 = -f*z - 4, 1 = -2*b - z + 12. What is the least common multiple of 9 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 216042*0.085\nAnswer: 18363.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1324789 to the nearest ten thousand.\nAnswer: -1320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 15*l**2 + 2*l + 2. Suppose 6*c = 10 + 14. Suppose 6*h = c*h + 14. Is z(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, x: 6}. What is prob of picking 2 x and 2 k?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -14. What is the nearest to 2\/7 in 2\/5, 3, a?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/39)\/f**13 assuming f is positive.\nAnswer: f**(-505\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = m + 7626, -5*m + 2903 + 4741 = 3*t. What is the thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1096*t - 90615 + 36911 = 0 for t.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = 5*k + 21. Let c = k + -5. Calculate the remainder when 48 is divided by c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90557*l + 90581*l - 181082*l.\nAnswer: 56*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -110 + 109. Let t(n) = -3*n - 3. Let d(h) = -1. Give r*t(s) + 5*d(s).\nAnswer: 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2080.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 260*i + 12. Let y(v) = -108*v - 5. Let m(n) = -5*a(n) - 12*y(n). Let g(x) = 239*x. Determine g(m(u)).\nAnswer: -956*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1313?\nAnswer: 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - 3. Let k be 126\/u*48\/(-18). Suppose 2*f + f - 103 = 2*o, k = 2*f + 4*o. Is 17 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 11*l**2 - 10*l - 15. Let h be n(12). Suppose 8*z + 240 = h*z. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -183, -107, 13, 171, 361, 577, 813, 1063?\nAnswer: 1321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 5*u - 1. Let v be y(-5). Let o be (-1 + 2)*(-4)\/(-22). Which is the nearest to 1? (a) -0.2 (b) o (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-one quarters of a minute?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 653 times 4\nAnswer: 2612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 8*r**2 - 13*r + 30. Determine d(5).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7284882 divided by 7284882?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 7 + 4 = 0, -u + 4*i + 199 = 0. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 4221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z. Let t be d(-4). Suppose 0 = t*o - 0 - 4. Let m be (-4)\/(-6) + (-44)\/363. What is the smallest value in o, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 9*d**2 - 624*d + 468. Is c(-113) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 0, -23, -66, -135, -236, -375?\nAnswer: -558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j = 5*h + 108, -4*h - 80 = -0*j + 4*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 8, t: 4, b: 1}. Give prob of picking 1 t and 1 b.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and 199.5.\nAnswer: 199.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of b**6\/120 - b**5\/30 - b**4\/8 - b**3\/2 - b**2. Let o be v(3). Let q = o - -3. Solve -2*n = 3*s, 0 = -2*s + n - q*n - 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/425*(1 - (7 + -1)). What is the third biggest value in -3, b, 4, -0.031?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26024 - -26019. Which is the third biggest value? (a) i (b) 29 (c) -160\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5071*r**3 + 9442 + r**2 - 9442.\nAnswer: -5071*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 - (350\/(-60) - 10\/(-12)). Which is the biggest value? (a) v (b) -1\/2 (c) 2\/21 (d) -2 (e) -160\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/((k**(-2\/15)\/k)\/k)*k)\/k**(-3)*k*k\/(k\/(k*k**(2\/15)*k))*k\/(k**(-3\/7)*k)*k assuming k is positive.\nAnswer: k**(1333\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 183, 644, 1423, 2526, 3959?\nAnswer: 5728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -403540\/159 - -2538. Let w = 940\/1113 + j. Factor -6\/7*a + 2\/7 + w*a**2 - 2\/7*a**3.\nAnswer: -2*(a - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3012441 or 111460344\/37?\nAnswer: 111460344\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -15281*k**2 - 61126*k - 10. Determine v(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -108 - -202. Let h = -89 + s. Do h and 22\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-14\/3)*s*s)\/(s*((s**(-12)\/s)\/s)\/s))\/(s**(-1\/15))**28 assuming s is positive.\nAnswer: s**(71\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 8 = -4*f, 3*f + 20 - 22 = -5*x for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4869 divided by 7\nAnswer: -4869\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2245584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, -1, 2\/767, -4, -2\/11?\nAnswer: 2\/767","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) 6 (c) 5 (d) -3.94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 8549631?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10 + ((-8 - 13) + -1 - -6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/(-44))\/((-18)\/(-9))*(-4)\/(-12)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52\/412591 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62527019*b**3 - 65*b + 262976.\nAnswer: 375162114*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 33 + 11 = -15*k, -5*k + 4*n = 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 2612412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q**2 + 3*q + 98. Let c(m) = m**2. What is v(c(r))?\nAnswer: 4*r**4 + 3*r**2 + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**4\/3 + 7*t**3\/3 + 20*t**2. Let j be w(-2). What is the units digit of (1 - 53)*j\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4138*b**3 + 37190*b**2 - 468*b = 0. What is b?\nAnswer: -9, 0, 26\/2069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1702 + -5501?\nAnswer: -7303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 902 - 472. Suppose w = -11*b + 3598. Suppose 39*t = 41*t - b. Calculate the highest common divisor of t and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + 45 - 61 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7256 and 3100126.\nAnswer: 1814","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 3, a: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 6)*((-182)\/(-28) - 1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 989938*g**3 - 1979870*g**3 + 989934*g**3 - 2*g + 2*g.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -9*6\/(36\/(-10)). Let x be (6\/((-36)\/s))\/(2\/(-4)). Suppose -14*m + 549 = -x*m. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 433 = 14*a. Is -2\/5 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -74236 - -4544?\nAnswer: -67472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 6:57 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 39395108 to the power of 1\/3, to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -41, -14, 23, 76, 151, 254, 391?\n\"Answer: f**3 - f**2 + 23*f - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minus 383.97970701?\nAnswer: -307.97970701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -i**5\/24 - i**4\/12 + 8*i**3\/3 - 9. Let k(a) be the third derivative of m(a). Differentiate k(l) with respect to l.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/3*(-27)\/18. Suppose -2*h + 0*h - 2 = 0. Let l = h - -1. Solve -m*r + r - 6 = l for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**4\/7 - 45682947*c**3\/7 + 45682941*c**2\/7 + 45682947*c\/7 - 45682944\/7 = 0.\nAnswer: -1, 1, 15227648","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2718 + 10*-5*6\/(-75). Suppose 6*g - n = 4*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - -1)\/(9\/(-6)). Let p be q\/5*3\/6. Let z = 177041 - 177041.4. What is the nearest to 2 in z, p, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85 and 2465?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2185 and 285.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*q - 1604207 = -221177. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3118605168 to the power of 1\/4, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of s**2 - s + 1. Let t(f) be the third derivative of 0*f - 7*f**2 - 1\/12*f**4 + 0 + 1\/6*f**3. Give -6*b(z) - 5*t(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*c**4*q + 3*c**4 + 14*c**2*q**2 + 5*c*q - 25*q**2 wrt c.\nAnswer: 72*c**2*q + 36*c**2 + 28*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3218*k**2 - 8*k**6 - 375*k**6 + 104*k**6 wrt k.\nAnswer: -33480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from quuuuquuuqqqquuq. Give prob of picking 2 q.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6621376, -6621386, -6621410, -6621454, -6621524?\n\"Answer: -k**3 - k**2 - 6621374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*w + 25*w - 6*w)*(-69*w**2 + 80*w**2 + 11*w**2) in the form m + n*w + q*w**2 + v*w**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 294489 - 188962. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55.16 - 55.16. What is the nearest to 0 in -38, 1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -7 + 1 + 4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -6*g**2 - 5*g - 18. Determine v(4).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 4*t**3 + 4*t**2 - 260*t - 900 = 0.\nAnswer: -5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n. Let c(z) = 7*z**2 - 62*z - 26. Let u(p) = -15*p**2 + 112*p + 47. Let w(t) = -9*c(t) - 5*u(t). Calculate -w(h) + 3*x(h).\nAnswer: -12*h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i**2 + 352*i - 1351. Determine f(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*v = -20, 0*i + 2*i + 3*v + 9 = 0. Let n = 32 + i. List the prime factors of n.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73213889.\nAnswer: 7, 1494161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 6, -46, 4, 0.1?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**2\/2 - 9*x + 6. Let d(m) = m. Let o(b) = -d(b) - u(b). What is o(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*y = -0*d + 12, 3*d + 16 = 4*y. What is the units digit of (5 - d) + 11 + -8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/7))**26)**48*(o\/o**(1\/4))\/o*o**(-4)\/o*o**(1\/7)*o*o**(1\/12) assuming o is positive.\nAnswer: o**(14807\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((5 + -5)\/(-7))\/2. Let l(i) be the second derivative of a*i**2 + 0 + i + 3\/4*i**4 - 7\/6*i**3. Find the second derivative of l(h) wrt h.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 150\/67 or 3?\nAnswer: 150\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in nineteen quarters of a milligram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -5\/6*w**3 + 2 + 1\/2*w**2 + 0*w - 1\/12*w**4. Let t(l) be the second derivative of u(l). Calculate t(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 17*j - 2. Let c be 5\/4 - (-9)\/12. Is f(c) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 12:23 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 11*i + 22. Let h be x(-9). Determine y, given that -16\/9 + 124\/9*y**2 - 14*y**h + 2\/3*y**3 - 8\/3*y = 0.\nAnswer: -1, -2\/7, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 387517 and 862168.\nAnswer: 2293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -112 - -114. Find the common denominator of -59\/6 and (i\/(-4))\/((-384)\/(-380) + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -59*o + 2. Let a be b(-2). Suppose -3*d + a = -171. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n - 3*n - 2*n + 1 + 2*n - 1 - n + 2 - 2 + (-2*n + n + 2*n)*(-4 + 6 + 0) - n + 6*n - 2*n + 0 + 2*n + 0)*(4*n - 3 + 3) to i + k*n**2 + z*n and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.08 + -0.08. Let m = 3.5 - 3. Suppose 2*r + 2*z + 16 = 0, 1 + 19 = -5*r - z. Which is the biggest value? (a) m (b) f (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 5, -54, -4, -1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-204)\/20 - 1\/(15\/12). Sort p, -8, -2 in increasing order.\nAnswer: p, -8, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 142263 and 270.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -5 + 7, -2*o = -4*x + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.837 to one decimal place.\nAnswer: -7.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5*((sqrt(19) - sqrt(475)) + 3))**2.\nAnswer: -440*sqrt(19) + 7721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 29 = -b, 6656*s + 22 = 6657*s - 2*b for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3278\/3 + 104947\/96. Calculate the common denominator of 19\/40 and c.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000030357088 rounded to 7 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 14. Let x be (3\/6)\/(2 + -1). What is the closest to x in w, 0.3, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 4)*(g - 5*g + 5*g) - g - 6*g - 4*g + 3*g - g - 4*g - g - 5*g + g + (3*g - 4*g + 3*g)*(-3 - 2 + 3) + 2*g + 4 - 4 - 2*g + 0*g + g.\nAnswer: -22*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/((-231)\/44))\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -26. Let f(d) be the second derivative of -2\/75*d**6 + 2\/15*d**3 - d + 0 + 1\/50*d**5 + j*d**2 + 1\/6*d**4. Suppose f(v) = 0. What is v?\nAnswer: -1, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -4. Which is the nearest to q? (a) 0.1 (b) -5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -422 divided by 211\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-70)\/(-15) + -4 + (-237)\/(-9) and 51?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38*976269.\nAnswer: 37098222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 - 38. Let j(m) = m**3 - 5*m - 5. Let d(v) = -4*v - 4. What is q*d(z) + 4*j(z)?\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(2\/7))**(1\/13)\/(r**(-2)*r*(r**3*r)\/r))\/((r\/r**2*r)\/(r\/(r*r**(2\/23)))*(r**0*r*r)**(-29)) assuming r is positive.\nAnswer: r**(117233\/2093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7 + 23 + -15 + 54. Solve -76*y + 42 = -c*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1983307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1643 + -1639. Let g = -0.076 + 0.376. What is the nearest to g in r, 2\/19, 2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.4 - 12. Let j = -2.2 - -1.5. Let d = z - j. Which is the second smallest value? (a) -2 (b) -2\/9 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122768389 to the power of 1\/2, to the nearest integer?\nAnswer: 11080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, 67, -5, 4, -2, 2, 17 in decreasing order.\nAnswer: 67, 17, 4, 2, -2, -5, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -61*f*m**2 - 5736*f*m - f + 276*m**5 + m + 2 wrt m?\nAnswer: -122*f + 5520*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248*i - i**3 - 81*i - 22*i - 2.\nAnswer: -i**3 - 351*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**3\/6 + 781*t**2\/6 + 15661*t\/2 - 49335\/2 = 0?\nAnswer: -715, -69, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2\/851, 3\/2, -19, 40, 0.3 in increasing order.\nAnswer: -19, -2, -2\/851, 0.3, 3\/2, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1140ac - 4?\nAnswer: 1140a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*n + 6*n = -47*n - 120 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -a**3\/6 - 7*a**2\/2 + 2*a + 238. Let c(v) = 3*v**2. Calculate c(i(h)).\nAnswer: 3*h**2 + 42*h + 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 1264*z - 315*z - 322*z + 2 - 314*z - 316*z. Let g(a) = -a**3 - a**2 - 2*a + 6. Let u be g(0). Let h(f) = 4*f - 3. Calculate u*y(c) + 5*h(c).\nAnswer: 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -12*d + 18*d. Factor 4\/9*m + 0 - 2\/9*m**3 - 2\/9*m**d.\nAnswer: -2*m*(m - 1)*(m + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*t, 0 = -5*d - 3*t + 504 + 776. Suppose 3*y - 261 = -3*s, -5*s - 6 = 19. Let o = d - y. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/594*-11 + -5 + 280\/(-45)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-1 - -7 - 1) + (4 - 5) and 358.\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10023 and 2424281.\nAnswer: 94546959","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 - 22 + a**2 + 6*a**2 to the form f*a**2 + c + i*a and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4764 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.5, 0.2, -255?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18 + (8 - 4 - 10). Solve 7*a - 3*a = -w for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61953264184420723.00000082 + 61953263170224102. Let m = w - -1014196640. Let k = -19 + m. What is k rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 34647.7kg?\nAnswer: 34647700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 8*v**2 - v - 4. Is 13 a factor of a(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2758 + -1596. Let f = a - 282. What is f rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 1.1, -0.4, -10, -3, 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -197 + 606. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = f - 7. Let w be 2 + 7 + 2\/(-1). Let b(g) = 2*g**2 + 3. Let x(r) = -5*r**2 - 7. Let l(k) = f*x(k) + w*b(k). Let y(u) = u**2. What is l(y(o))?\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l. Let g(h) = -2. Let d(m) = m - 9. Suppose -5*n + n = -5*u + 25, 5*n - 34 = -u. Let v(x) = u*g(x) - 2*d(x). Determine q(v(b)).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 5*w**2 - 4*w + 14. What is r(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9, m: 1, p: 2, d: 3, w: 1, o: 3}. What is prob of picking 2 o?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 19*o - 4. Let i be d(-19). Let y be 8\/44 - i\/(-22). Solve y = -0*n + 4*n + 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by 2038.\nAnswer: -11\/1019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 109639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -3. Suppose -28*f + 77 = -39*f. Let r be (f\/(-21))\/(s\/3)*-15. Solve 5*i + r + 5 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*i - 17*i = -196 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 363*a**3 + 730521*a**2 - 398547*a + 54351 = 0.\nAnswer: -2013, 3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 5*q - 25. Let m(i) be the second derivative of i**3\/3 + 3*i**2 + 4*i. Let o(a) = -2*a - 5. Let r(v) = q*o(v) + 4*m(v). Give r(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*2.02\nAnswer: 8.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1, 1, -0.4 in descending order.\nAnswer: 1, -0.1, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268*j**2 - 342*j**3 - 16 - 54*j**5 - 20*j - 84*j + 209*j**4 - 425*j**4 = 0. Calculate j.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + i + 93 = 0, -3*i + 449 = 3*c + 2*c. Let l = c + -91. Sort l, -9, 1 in decreasing order.\nAnswer: 1, l, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/48 and 19\/9?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 4*l**2 - 3*l + 4. Let g(q) = 5*q**2 - 13*q + 5 + 7*q - 2*q**3 + 2*q. What is -5*a(s) + 4*g(s)?\nAnswer: -3*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000014921 rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1094391 or 0.244?\nAnswer: -1094391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 447, 444, 441, 438?\nAnswer: 435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001476306 to 7 decimal places.\nAnswer: 0.0000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1650, -3223, -4772, -6285, -7750?\n\"Answer: 2*p**3 - 1587*p - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 28 + -11 + (-14)\/1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8449.1829s in days?\nAnswer: 0.09779146875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2822 to 2 decimal places.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 47524*q**3 - 126004*q**2 - 48260*q - 4332 = 0. Calculate q.\nAnswer: -19\/109, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 4*b**2 - 97*b - 16. Let c be g(-12). Let u = -4 + 8. What is the third biggest value in 0.2, c, u, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2641 divided by -19.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*3*(sqrt(539) + 0 + -5 + (sqrt(539) + 1)*-6)*4.\nAnswer: -1260*sqrt(11) - 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42857?\nAnswer: 17, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**1*a)**(1\/5))**18\/(((a**(-9)*a)\/a)\/a**(-3\/17))**(1\/2) assuming a is positive.\nAnswer: a**(987\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 14526?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 - -1.02. Let d = k - 0.02. Let j = 0 - d. Which is the nearest to 1? (a) 2\/9 (b) -1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 105 - 148. Let w = p + 48. Suppose 3*m = -15, -63 = -3*f + w*m + 28. Calculate the lowest common multiple of 14 and f.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a hour in seconds?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -301 + -541\nAnswer: -842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 265 + -2?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kak when three letters picked without replacement from gkkgakkkz.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280*u - 851 = 852 + 537 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/11, -5, -5596, -3 in descending order.\nAnswer: -4\/11, -3, -5, -5596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -285 - -312. Suppose -m + 392 + l = 0. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 h when three letters picked without replacement from {j: 1, x: 4, w: 2, r: 3, h: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 693841, 1387675, 2081505, 2775331?\nAnswer: 3469153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0330599 rounded to 4 decimal places?\nAnswer: -0.0331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152492 divided by -1138.\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*z**3\/15 + 4*z**2 + 58*z\/15 + 4\/5.\nAnswer: 2*(z + 1)*(z + 3)*(7*z + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1876 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 4)*(33*w - 33*w - 8*w**3)*(0 + 2*w + 0).\nAnswer: 32*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 10:48 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 216\/(-27)*(-39)\/8*(-8)\/(-12). What is the closest to -0.1 in 13\/4, g, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 8) + (24 - 21)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3214 = 2*p + 3*g - 3193, 3*p = -g - 21 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2772 smaller than 2772?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31*j**2*l - 3*j**2 - 3*j*l - 94*j - 45773785*l - 1 wrt j.\nAnswer: -62*j*l - 6*j - 3*l - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4926, 347, 0, 5.\nAnswer: 0, 5, 347, 4926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279133 is divided by 599?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 0*t**2 + 53 + 17*t + t**2 - 85. Let n be r(-25). Suppose 4*c = n - 88. Solve -2*s - c = 2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 9. Suppose 4*y - 95 + f = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (63 + 71 - 52 + 49)*(0 + 3*q**2 + 0) to a*q**2 + d + k*q and give a.\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + s**2 + 24 - 24*s.\nAnswer: s**2 - 24*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43.78 - 51.68. What is the closest to -2\/5 in -0.2, y, 4, -32?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 13, i: 3, w: 1, u: 2}. Give prob of picking 1 i and 2 y.\nAnswer: 78\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -15626\/69, -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 6:35 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5172118241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 151, -4, -28, -0.07?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 10*s - 100, -5*s + 50 = -785*g + 789*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-4 + 0)*(-1 - -2). Suppose y + s = 4*x + 12, 0 = 5*x + 20. Let j(h) = -3 - 4 - 2*h**2 + 4. Let l(b) = -3*b**2 - 4. What is y*j(i) + 3*l(i)?\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, x: 4, i: 1, r: 1, p: 2, l: 1}. Give prob of sequence rs.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2844.15 - 2908. What is r rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 106\/12 + -11 + 2\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**5 - 119*i**4 + 279*i.\nAnswer: -20*i**3 - 1428*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -5*d + 43400. What is d rounded to the nearest one thousand?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 8, k: 7, m: 5}. Give prob of picking 3 m.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37 and 1195137.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2998, 3181, 3492, 3931?\nAnswer: 4498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5537090 is divided by 1773.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a centimeter in millimeters?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 10*c - 11. Calculate g(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-30)*45\/(-108)*6.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30*4\/(-168))\/((-3)\/(-6))?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6307.\nAnswer: 7, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12345160 divided by -308629.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 68 + -70. Let l be (-24)\/y*6\/24. What is the common denominator of 41\/2 and (-282)\/l*1\/(-52)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 876 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a - 2. Let l(x) = -x**2 + 30*x + 23. Let c(z) = -5*l(z) - 40*v(z). Let c(o) = 0. Calculate o.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.0016, 3\/5, -1\/6, -8?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - o + 2 = 0, 0 = -5*k + o - 5*o + 10. Solve k*i + 2 = -8 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/7 + 14412*y**2\/7 + 28816*y\/7.\nAnswer: 2*y*(y + 2)*(y + 7204)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 6. Let p be (-2)\/(-6) - 4\/q. What are the prime factors of (p + -3)\/(-2)*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29\/62 - 1\/31. Which is bigger: j or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i**2 - 18*i - 42. Let s be d(-12). Let c = -199 - s. What is the remainder when c is divided by 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 61 + -ab62e?\nAnswer: -ab5bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -0.06, 0.5, -0.5 in descending order.\nAnswer: 0.5, -0.06, -0.5, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410*g + 7*g + 10080 = -63*g for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 0 + 0*p**3 - 5*p + 0*p**2 - 3\/2*p**4 + 3\/10*p**6 + 0*p**5. Find the third derivative of c(b) wrt b.\nAnswer: 216*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/8 and ((-126)\/(-20))\/(6\/10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2960)\/1110)\/(8\/(-18))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1640297 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 287*o + 5933. Let y(g) = -837*g - 17799. Determine 35*p(x) + 12*y(x).\nAnswer: x - 5933","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a. Let m(k) = -k**2 + 6*k. Let q(b) = -b**2 + b. Let h(i) = m(i) - 6*q(i). Determine h(n(j)).\nAnswer: 20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t - 1. Let g be b(1). Let a be (4 + 2)*g + 0. Calculate the common denominator of 5\/(-2)*a\/(-8) and 137\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, 28, -17, 9 in increasing order.\nAnswer: -17, -7, 5, 9, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1512 or -104?\nAnswer: -1512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1824 divided by -48\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 433217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.009 - -3.009. What is the nearest to 0.1 in 2\/3, -0.5, m, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 1 + 1 + (11 - 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 1:01 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (28\/(-18) + 2)*30\/(-100). Which is the third smallest value? (a) 0.4 (b) -3\/2 (c) 539\/5 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/3))**(-10\/7)\/((n**(-2\/27)*n)\/(n\/((n**(2\/5)\/n)\/n))) assuming n is positive.\nAnswer: n**(1132\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -188, -0.643, 5 in descending order.\nAnswer: 5, -0.643, -1, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1637, 1640, 1645, 1652, 1661, 1672, 1685?\n\"Answer: b**2 + 1636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2059, 17205, 58307, 138343, 270291?\n\"Answer: 2163*r**3 + 5*r - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -0*b + 5*b. Let l = -0.18 - -0.1. Let i = l + -0.22. Sort -2, i, b in ascending order.\nAnswer: -2, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -152 (base 13) in base 9?\nAnswer: -282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1, 5, 13, 25, 41, 61?\n\"Answer: 2*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -66 + 12\/7*a - a**2 + 2\/21*a**3. Factor o(s).\nAnswer: 2*(s - 6)*(s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44049702 to the power of 1\/2, to the nearest integer?\nAnswer: 6637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {k: 7, a: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 1:51 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 953 + 1578. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -5 - (-10 + 5)) + -8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 + 2 + 1*6. Suppose m = b + 2 + 11, r*b = -m - 35. Let h = 33 + b. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 37 = o, y + 6*o - o = 41. What is the greatest common factor of 32 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -1\/14*m**4 + 2\/7*m**3 - 8\/7*m - 1 + 0*m**2. Determine d so that v(d) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -13011.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 7)\/4 - 2. Suppose -p + 0 = -5. Put p, 1, q in increasing order.\nAnswer: q, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/12)\/l)\/l**(1\/5) assuming l is positive.\nAnswer: l**(-77\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138956 is divided by 437.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f - 10. Let j be t(8). Suppose -3*v + v - j = 0. Let i be v\/9*2 - -2. Which is the fourth biggest value? (a) i (b) 2\/3 (c) 2\/7 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*v + 79 - 17 = -277*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153654.\nAnswer: 2, 3, 25609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/40*0)\/(2\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-52 - -2)\/(5\/(-10)). Suppose -3*a = 4*s - 199, 2*s + a - r = -a. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 - 823472463\nAnswer: -823472441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 541 - 390. Suppose 150 - l = o. Sort 3, -2, o in decreasing order.\nAnswer: 3, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - y**2 - y + 2. Calculate t(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 10223*o + 13073*o + 154*o + 17481*o + 8610*o.\nAnswer: 49541*o - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8253 = -81*s + 18*s. Calculate the remainder when s is divided by 61.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*h = 214*h + 124*h + 10033 + 2051 for h.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 3:15 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = 10*l + l. Solve 0 = h - 2*u + 4, 0 = 4*h - 3*u - 0 + l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*d**5 - 1096*d**4 + 11740*d**3 - 2304*d**2 = 0.\nAnswer: -64, 0, 1\/5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/108 and (276\/(-72) - -7) + -18.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 304, 573, 866, 1195, 1572?\nAnswer: 2009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 47*p**2 + 46*p - 81. Let z be j(-48). Let c be -7*(-356)\/42*z. Round c to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 931129, 3724476, 8380041, 14897818, 23277801, 33519984, 45624361, 59590926?\nAnswer: 75419673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o**2 - o**2 + 7*o**2)*(o**2 + 3*o**2 - 3*o**2) + (6*o**3 - 2*o**3 - 3*o**3)*(2*o + 0 + 0) as i*o**2 + v + c*o**3 + r*o + k*o**4 and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3 - 2*f + 2\/3*f**2.\nAnswer: 2*(f - 2)*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1170*z**3 + 2*z**2 - 1170*z**3 - 6*z**5 wrt z?\nAnswer: -360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 - 5*a + 7. Let o(i) = -i**2 - i + 1. Let z(u) = f(u) - 3*o(u). Let d be z(-8). What is d rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (116 + 47*v - 116)*(v - 2*v**3 + 0 - 3*v**2 + 0).\nAnswer: -94*v**4 - 141*v**3 + 47*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 181, 366, 551, 736, 921, 1106?\n\"Answer: 185*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2160537747 to the nearest integer?\nAnswer: 1293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = 5*g + 334. Let i = 76 + g. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(28\/(-8) - -5). Is -4 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1463?\nAnswer: 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9962 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 5:40 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 4, -2*x + 7*x - 31 = 4*r. Suppose -2*s - 6*l + 24 = -l, x*s + 14 = 5*l. Let o(j) = s*j + 20 - 20. Let m(y) = 5*y. Give m(o(b)).\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 h when two letters picked without replacement from {g: 1, h: 9, w: 1, a: 5}?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/8 and -4 + 5\/(-1040)*-970?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33702545 (base 8) to base 6.\nAnswer: 420352153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -142*c*p - 545042*c - 1934*p wrt p?\nAnswer: -142*c - 1934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/3 - 8656*a.\nAnswer: -2*a*(a + 12984)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (328\/(-82))\/(((-2)\/8)\/1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*2 - sqrt(45))\/(1*sqrt(81)) + (-2 + ((sqrt(60)*-1)\/sqrt(12) - sqrt(5) - sqrt(5))*4)**2.\nAnswer: 151*sqrt(5)\/3 + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 1:37 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2365920?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 20*g**3 - 3*g**2. Let y(b) = 1060*b**3 - 160*b**2. Determine 160*f(x) - 3*y(x).\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 2\/239, -4, 4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1158 + 1158. Let x(w) be the second derivative of 4\/7*w**2 + 2\/7*w**3 + 0*w**4 - 14*w - 1\/35*w**5 + p. Factor x(y).\nAnswer: -4*(y - 2)*(y + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrarmammmamam. What is prob of picking 3 a and 1 m?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4729*n**2 - 17291*n**2 + 2 - 21725*n**2 + 8237*n**2.\nAnswer: -26050*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**5 + 0*d**5 - 4*d**5 + (3 + 2*d**3 - 3)*(-2*d**2 + 3*d**2 + d**2) - 2*d**5 + 0*d**5 - 4*d**5 - 3*d**5 + 4*d**5 - 6*d**5.\nAnswer: -9*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-15))\/(21\/(-15) + 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.6 in -5, 2\/7, 3, 4, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and (-2 - (-5)\/5)\/((-6)\/276)?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**2 + 2*z**2 + 4*z**3 - 2*z**3 + (3 + 7*z - 3)*(427*z**2 + 347*z**2 - 716*z**2).\nAnswer: 408*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -5490*k - 661*k - 2751*k - 3350*k + 1926*k in the form t + g*k and give g.\nAnswer: -10326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 2 + 8. Let y(j) = -9*j**2 + 10*j**2 + 12 + j + 6*j. What is the smallest common multiple of y(-6) and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a century in years?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2766542 divided by -81\nAnswer: 2766542\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 8212 - 3190 = 0. Let q = -54 + k. Suppose 0 = 3*g - 4*f - 780, 2*g = -g + 3*f + q. List the prime factors of g.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 2*m + 124. Let l be 6*(-24)\/8 - (-7 + 1). What is d(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -5, -2, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (49\/11)\/(3051\/(-33561))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 199535 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 16. Let x(r) be the second derivative of -1\/18*r**m + 1\/45*r**6 + 0*r**2 + r + 0*r**3 + 0 + 0*r**5. Factor x(p).\nAnswer: 2*p**2*(p - 1)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 5*m**2 - 14*m + 4. What is the tens digit of i(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-8)*7\/(-21)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 2, -3, -137, 24 in increasing order.\nAnswer: -137, -3, 1\/5, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h. Let o(b) = -b. Let g(y) = -11*o(y) + 6*t(y). Let f(q) = q + 14. What is g(f(k))?\nAnswer: -k - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, -2, 41, 4, 2, 587.\nAnswer: -2, 2, 4, 41, 59, 587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 2*i**2 - i. Determine u(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -33, -2, -4 in decreasing order.\nAnswer: 4, -2, -4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 101 + -95. Let v be (-56)\/84 - (-550)\/g. Suppose -4*z - n = -v, -5*z + 88 = -z + 4*n. What is the remainder when 66 is divided by z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f**2 + 4*f + 4. Let g be y(-4). Let u be (-8)\/10*(g - -1). Suppose -u = 5*k - 150. Is 18 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-6) - 40\/(-6). Let l(p) = -2 - 2 - p + c. Let k(n) = 10*n - 1. Let d(q) = 3*q. Let b(f) = 13*d(f) - 4*k(f). Give 4*b(a) - 5*l(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g = -6*g - 25. Suppose 2*q - g*p = -p + 172, -104 = -q - 4*p. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, o: 5}. What is prob of sequence ooj?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103 (base 10) to base 15.\nAnswer: 6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 210\/(6\/3) - 0. Suppose -2*a - 88 = -i - 2*i, -o = -5*i - 5*a. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 565 + -568. Suppose 25 = -5*f - 3*k, -f + 3*f + 21 = k. Let d(o) = 11*o - 11. Let l(s) = -4*s + 4. Determine a*d(x) + f*l(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -5*j**4\/12 - 5*j**3\/2 - 5*j**2 - 18*j - 1. Factor u(t).\nAnswer: -5*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-51)\/(-3) + -4 + 6. What is the derivative of 11*u**3 + 67 + 6*u - 6*u + 3*u**4 - m*u**3 wrt u?\nAnswer: 12*u**3 - 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/3)*k**11\/k*k**(2\/45)*k\/(k\/k**(2\/67)) assuming k is positive.\nAnswer: k**(32384\/3015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f**3 - f + 1. Suppose -4*w + 5 = 1. Let n be d(w). Suppose -3*i + 27 = x, -x - n*i - 99 = -6*x. Solve -3*p + 30 = 5*z - p, z + x = 5*p for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/105 and 7\/(-14)*4 - 149\/(-120).\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - h - 2, s + 3*h = -s - 6. Suppose s = 4*j + j - 10. Suppose 6*i - 2*i = 8. Solve 0 = i*k - j - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3135120*y**3 + 11983125.\nAnswer: 9405360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qscuqucsuhqqsu. Give prob of sequence sh.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 31.461766 and 96?\nAnswer: 64.538234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uubddupuuo. Give prob of picking 1 u and 2 d.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 11. Let i be 2\/6 + 1\/(-3). Let f(u) = 0 + u**2 + i*u + 2 + 5*u. Calculate f(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 3 - 73) + -5 + (339 - 326)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*f = 679 - 232, 5*s = -f + 2187. Suppose -s = 5*j - 168. Let b = j + 107. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 2*x - 118. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 9:13 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 8*c**2 + 2*c + 15. Let k be -1*3*133\/57. Is 50 a factor of d(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/11 (b) 2\/5 (c) 14 (d) 1\/7 (e) 137\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-26))\/(174\/(-522)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5442771.\nAnswer: 3, 17, 106721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3070.9 + 3213. Let q = -104 + m. Let g = q + -38. What is the nearest to g in -1\/6, 0.1, 6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4*g = 20, 2*i + 5*g - 38 = -2*i. Suppose -27*l = -7*l + 100. Put l, 1, i in decreasing order.\nAnswer: i, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**3 - c**3 + 2*c**3)*(2523 - 2521 - 108*c - 171*c).\nAnswer: 837*c**4 - 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14569581 to the power of 1\/3, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 130 and 8?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3449982?\nAnswer: 2, 3, 19, 53, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 75072, 75066, 75048, 75012, 74952, 74862, 74736?\n\"Answer: -h**3 + h + 75072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -1. Let x(h) = h + 1. Let n(l) = 4*d(l) + x(l). Let u be n(5). Suppose 5*t = -3*k + 47, -u*t - 106 = k - 5*k. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rtt when three letters picked without replacement from tttrgrvrrttr.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -11*s + 52*s - 8*s + 12*s - 321. Calculate l(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(-4)\/12*24\/8. Solve 5*u = z - 25, -13 = -b*u - 4*z - 5 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(360)\/sqrt(6) + sqrt(60))\/sqrt(2))\/sqrt(6) + (sqrt(180) - (4 + sqrt(180) + sqrt(180) + 0)**2).\nAnswer: -733 - 88*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqslsqllsqqqqls. What is prob of picking 1 s and 1 q?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 0*w + 2*w + 10, -2*u - 5*w = 16. Suppose 5*q + 5*i = -0*q + 15, -2*i + 6 = -u*q. Let g = q - -2. Solve n + g = -2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.8 and -10394?\nAnswer: 10390.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - (-4 + -10)) + (2 - (3 + 31)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23995590 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -122 + 125. Solve 2*k - 5 = m, -3*m - 4*k = -d*k + 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k + 13. Let z(v) = -2. Let b(j) = -y(j) - 5*z(j). Let g = -13 - -1. Calculate the smallest common multiple of 6 and b(g).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21938 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5*(sqrt(180) - (-1*sqrt(180) + -4)) + (sqrt(180) + sqrt(180) + 1 + 1 - sqrt(180) - (3 + sqrt(180) + 1)) + 1 + 2)**2.\nAnswer: 2520*sqrt(5) + 18442","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j - 6493 = -6. Suppose m - 80 = 419. Is j greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.7 - -2.7. Sort b, -4\/3, 6 in descending order.\nAnswer: 6, b, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59 + 63. Let n = 8 - 11. Which is the closest to -0.1? (a) n (b) p (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*m + 109 = s, s + 4*m + 1 + 20 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, e: 4, a: 1, y: 3, x: 1}. What is prob of sequence ap?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kz when two letters picked without replacement from {k: 1, g: 1, o: 1, z: 1, n: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 562*i**3 + 23*i**2 - 635*i**3 - 23*i**2 - 5574*i**3.\nAnswer: -5647*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbiuuuuucuic. What is prob of picking 1 b, 1 c, and 2 u?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-2) - 0) + 1. Suppose -4*z = 4, -46*d - 10 = -49*d + z. Suppose -3*n - n + 12 = 0. Solve d*a = p, -i + n = 2*i + 4*a for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4118887767 to the power of 1\/5, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2047 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/(-10))\/((-5)\/26) - -3. What is the smallest value in 2\/17, c, -12.9?\nAnswer: -12.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 23, -36, -113, -214, -345, -512?\nAnswer: -721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1433*s**5 - 55*s**4 + 440667*s**2 wrt s.\nAnswer: -85980*s**2 - 1320*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 68748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -7. Let h(f) = -f**3 + 11*f**2 + 60*f - 15. Let n be h(15). Sort -5, n, r, 2 in descending order.\nAnswer: r, 2, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 3710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 5*d. Let t = -2 + 14. Suppose 2*i - t = -62. Let o be (-4)\/16 - i\/4. Calculate r(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4225 + 7653. What is the units digit of i\/22 + (-72)\/(-396)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.069, 4, -30\/11 in increasing order.\nAnswer: -30\/11, 2.069, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 646628 and 3892.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 5*n. Let m = 2739 - 2739. Let o(d) be the third derivative of -28*d**2 - 1\/12*d**4 + 0*d + m + 0*d**3. Calculate o(x(p)).\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 5 (b) 7 (c) 85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7*1)\/(5\/60*3). Calculate the greatest common factor of t and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 335589 to the power of 1\/2, to the nearest integer?\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s**2 + 17*s + 79. Let i be g(-4). Suppose -3*k + 38 = 4*x - i, 5*x = -2*k + 79. Solve -17 = 6*l - k for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -10*m**3 + 2*m**2 - m. Suppose 14*y - 3 = 11*y. Give x(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113085804 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**7\/2520 + i**6\/180 + i**5\/30 - i**4\/3 - 5*i. Let j(f) be the third derivative of z(f). Let j(g) = 0. What is g?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99481?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (417\/6)\/(1\/62). Suppose -3681 = -2*b + t. Is b\/15 - 6\/(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 2, g: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 2:52 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - -3 - (-8 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*n + 800 = 719 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffbfbbbbttbb. What is prob of sequence bb?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -16. Find the common denominator of ((-148)\/(-66) + -2)*-12 and 79\/(-6) + d\/(-54).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 4:03 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 199871353491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -7. Let g = 385 + -382.91. Let t = -0.09 + g. Which is the closest to 0? (a) -2\/7 (b) t (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -5, -2\/9, -2, 5 in ascending order.\nAnswer: -5, -2, -0.3, -2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v - 3*v - 2*v + (0*v + 3*v - v)*(-3 + 5 - 1) - 1 - v + 1 + 4 - 4 - v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - 2 + 2)*(56 + 47 + 66) + r - r + 2*r.\nAnswer: 847*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 41*d*i*t**3 - d*t**3 - 295*i*t**3 + t**3 wrt d?\nAnswer: 41*i*t**3 - t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27246 divided by 6.\nAnswer: -4541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0894 times 3987?\nAnswer: 356.4378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + -3 - 0 - 3. Let r = b + 7. Suppose -d + r = 2. Solve d*a + 2*a = -12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9006 + 9010. Let g = 2 - 2. Suppose -h - 2*b + 7*b - 1 = g, -2*b + 10 = 2*h. What is the greatest common factor of p and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23451*q**6 - 3*q**2 - 3*q - 888 wrt q?\nAnswer: -2814120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/12*(-174)\/(-464).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 1\/2 (b) -0.2 (c) 4 (d) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43.1 - 43. Let f be 10742\/66 + 1\/3. Let h = f + -163. What is the smallest value in h, b, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 8 = -4*a + 8, -4*q + 8 = 2*a. Let p(x) be the first derivative of -12 + q*x + 9\/2*x**2. Let y(f) = -f. Calculate y(p(o)).\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*x + o, -o = -x - 4*o - 5. Suppose 0*t = -2*t + x. Let z = 1 + 14. Solve -t*p - z = -5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26299?\nAnswer: 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 702126 to the power of 1\/2, to the nearest integer?\nAnswer: 838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - -41 - (-3 - -7). Let i = v - 62. Let b = -7 - i. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17b6b (base 16) to base 2.\nAnswer: -10111101101101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -105 + 104.5. Let i = -6 - -4. Let g = i + 1. Which is smaller: q or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - 0.1. Let v = 7 + -6.6. Let l = u - v. What is the closest to 1 in -2, l, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of c**4\/24 + c**3\/6 + 2*c**2 + 2*c. Let h(b) be the third derivative of b**4\/24 + b**3\/6 + 2*b**2. What is -3*f(l) + 4*h(l)?\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 34*x + 102. Let i(v) = -v - 2. Let a(r) = -2*i(r) - k(r). Does 27 divide a(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -336 + 333. Let a = 7 + -13. Sort a, -2, k in descending order.\nAnswer: -2, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357727319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 12. Let r be t(8). Suppose -r*d = 5*o - 0*o - 81, -3*o + 60 = 3*d. Suppose -s + 2*p + d = 0, 0 = -4*p + p + 12. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5768528 is divided by 43?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**5 + 3*z**5 - 2*z**5 + (0*z**4 + z**4 + z**4)*(-6 + 2*z + 6) + 488 - 488 + 65*z**5 + 4*z - 4*z + 3*z**5.\nAnswer: 74*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 1.9, 24.19, -1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 685432 is divided by 226883.\nAnswer: 4783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three sixths of a hour in minutes?\nAnswer: 230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + t**2 + 4*t - 13. Let u(m) = -m**2 + 1. Let i(q) = -b(q) - 5*u(q). Let p be (-64)\/4 + 29 + -18. Determine i(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -31 - (-110 + 79)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/3*1 + -4 - 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 743 - 369. Suppose -2*m + 2*l = -6*m + 1466, m + 3*l = g. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 5*x**2 - 2*x + 5. Let b be a(4). Solve -3*q - b = -1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 57 = -3*k. Let j = k + -28. Let h = j + 15. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 2\/8)*8. Let x = -130 - -131. Let z be x\/1*3*(-2)\/6. Put -3, k, 4, z in increasing order.\nAnswer: -3, z, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*o = 116, o = -4*v + 4*o - 225. Let s = 68 + v. Suppose 3*i - 363 = -0*i. What is the greatest common factor of i and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 113*l + 459. Let z be t(-4). Sort -3, z, 1, 287 in descending order.\nAnswer: 287, z, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 159 - 276. Let g = r - -120. Solve 6\/5*y**2 + 12\/5*y + 3\/5*y**4 - 9\/5 - 12\/5*y**g = 0 for y.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134, 441, 1408, 2773, 4542?\nAnswer: 6721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b9ca5 (base 14) to base 3.\nAnswer: 2212111110221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 v when two letters picked without replacement from {v: 1, z: 1, h: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -19*i**7\/42 - 3*i**3 - 11*i. What is the second derivative of k(u) wrt u?\nAnswer: -380*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00479659594 rounded to 4 decimal places?\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 189483 + -ca?\nAnswer: 189386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-26)\/8 - (-9 + 6). Which is the closest to 2? (a) r (b) 2 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gtxgxgvtvgvxxv. What is prob of sequence xx?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2017968741.\nAnswer: 3, 29, 401, 6427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.3 + -1.299998. Round r to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14727 - 3414.944?\nAnswer: 11312.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*h**2 - 88*h**3 + 24*h**2 - 60*h**3.\nAnswer: -148*h**3 - 76*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 2:49 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 203.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 12:55 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 1. Let b be 1 - ((-4 - -4) + 5). Let i(n) = -n**3 + 11*n**2 - 3*n + 1. Let k(m) = b*d(m) - i(m). Determine k(4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a kilogram in grams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 149 + -599\/4. What is the second biggest value in -2, u, -1\/6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 46*g - 1. Let o be s(-1). Let z = 67 + o. Let v = 11 - 7. Calculate the smallest common multiple of v and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60433861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 4\/75 (c) -200 (d) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1315.9519 to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 4 = -4*t - f, -5*f = t + 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1876073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -295293602*q**2 + 3086354*q - 16129\/2 = 0.\nAnswer: 127\/24302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + 5*s + 4, 0 = 2*j + 2*s - 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34859 a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -2. Let b = 1.3 + -9.3. Let c = 5 + b. Which is smaller: u or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/7 + 4)*-7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(-1*sqrt(65) - sqrt(65)))\/sqrt(5) + 0 + -1*sqrt(13)*-1)**2 + (sqrt(143)\/(sqrt(396) - (1*sqrt(396) - sqrt(396))) + 3)**2 + 2.\nAnswer: sqrt(13) + 23341\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -8*z**2 + 2*z + 2. Let g(n) = -9*n**2 + 3*n + 3. Let b(x) = -2*g(x) + 3*l(x). Let k = -3 + 5. Let j(i) = -k*i - i + 2*i. What is b(j(w))?\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -488 - -755. Let s(o) = -d + 35*o + 267. Let f(z) = -2*z**2. Calculate f(s(g)).\nAnswer: -2450*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 2 (c) 3 (d) 243\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.12155398 rounded to 2 dps?\nAnswer: -3.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 1 - 1)*(-2*c - 3 + 3) + 32*c**2 + 22 - 36 + 13 + (2*c - 2*c + c)*(2 + c - 2).\nAnswer: 31*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -162.1 + 162. Let j = 2.9134 + 0.0866. What is the smallest value in 2, 0.03, m, j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/23882 and 107\/22.\nAnswer: 262702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 10 = 5*h, -5*h + 326 - 296 = -5*z for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 4, -15 in descending order.\nAnswer: 4, -3, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, z: 3, o: 5}. What is prob of picking 2 z and 1 u?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 882744178 to the power of 1\/5, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 684 and 266.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1206, -2390, -3538, -4632, -5654, -6586, -7410, -8108?\n\"Answer: 3*v**3 - 1205*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-6))\/((-14)\/(-40)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 284.\nAnswer: 1988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3583 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2. Let g(s) be the third derivative of 0 + 3\/10*s**5 + 0*s**4 + 12*s**2 + 0*s**3 + 0*s. Determine g(o(v)).\nAnswer: 18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 51, 199, 443, 783?\n\"Answer: 48*c**2 + 4*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 660 + -660. Which is the third smallest value? (a) -1 (b) -46 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*n*s**2 + 7*n*s - 3795*n + s**3 wrt s?\nAnswer: 30*n*s + 7*n + 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 5, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26311679?\nAnswer: 61, 431339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**3 - 4*n**3 + 7*n**3 + 3*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2270146, 2270145, 2270144?\nAnswer: 2270143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + sqrt(147) + 0)*-5)**2 - (sqrt(48)\/(sqrt(8)\/sqrt(2)))\/(-1*(sqrt(36) + sqrt(4)) + sqrt(4)).\nAnswer: sqrt(3)\/3 + 3675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(5) - ((sqrt(5) + sqrt(5) + -1)**2 + -2))) + 4.\nAnswer: -4*sqrt(5) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -12) + -16 + (-840)\/60?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-nine sixths of a week?\nAnswer: 48720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 8*t - 3. Let m(a) be the third derivative of a**5\/60 + a**4\/24 + 253*a**2. Let i be -3*(-1 + (0 - -2)). Let z be m(i). Give c(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 + 3339854*v - 3339854*v.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and 433262402463.\nAnswer: 433262402460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 132 and 528?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 76176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 6, -13, -40, -75?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4014 - 6489 = -259*k - 2474 for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2376, 2385, 2404, 2439, 2496, 2581, 2700?\n\"Answer: p**3 - p**2 + 5*p + 2371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -3) + 1 + (0 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p = 9697 - 9837 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.486? (a) -0.3 (b) 7 (c) -1\/4 (d) -25\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**2 + 1. Let x(n) = -9*n + 6. Let a be x(6). Let g = a - -51. Suppose -4*i - 2*s = -2, -5*s = -i - g*s - 12. Give l(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -240, 1\/7, -0.11132, 0.\nAnswer: -240, -0.11132, 0, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + -1)\/(2 - 1). Let r be (((-16)\/7)\/(-4))\/((-8)\/(-28)). Solve r*a - s = -1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -3*y + 11552, -y + 2638 = -2*z - 1214. Does 85 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*j + p = -41, 5*j + 2*p = 116. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 21035.\nAnswer: 84140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 1112*x**6\/3 + x**5\/5 - 4445*x**2\/2 - 1302. What is the second derivative of m(h) wrt h?\nAnswer: 44480*h**3 + 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**5 + 395*a**4 - 32500*a**3 - 142000*a**2 + 518720*a + 2170880 = 0. Calculate a.\nAnswer: -128, -4, 4, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 17 = -w. Let z = w + -12. Find the first derivative of -z*h + 14 + 6*h + 7*h wrt h.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -7 + 0*j + 8 - j. Let z = 7 + -10. What is the remainder when 7 is divided by x(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 4:33 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -7*n + 75. Calculate p(19).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*l - m = 49*l - 1945, -3*m - 983 = -2*l. Suppose -3*h = -l - 7076. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ojvjojojvvpvvvvvjv. What is prob of picking 2 v, 1 p, and 1 o?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -5*c + 43. Give j(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = -3*y - 125. Solve 0 = 4*r + y + 7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*b + 19, 6*t - 2*t = -4*b + 40. Suppose 3*c + 0*w = -3*w + 27, -5*w - b = -c. Let s be 2\/9 + 61\/c. What is the biggest value in s, 2\/7, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -70*q**4 - 39*q**3 - 4032*q wrt q.\nAnswer: -840*q**2 - 234*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2. Let k(d) be the first derivative of -d**3\/3 - 2. What is k(g(w))?\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 520294 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 137*l**3*u*y - l**3*y*z - 125832*l**3*z + l**2*u*y + l**2*u - 4*l*u + 2*u*z - 296*y wrt l?\nAnswer: 822*u*y - 6*y*z - 754992*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 + -38. Let o(p) be the first derivative of -5 - 1\/18*p**4 + 0*p**3 + 0*p + 1\/9*p**u. Determine s, given that o(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59972 - 59971.33906. What is t rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**3\/3 - 4*v**2\/3 + 11*v\/3 - 2 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 0. Suppose n = -2*z + 5 - 15. Let t = 677\/15 - 45. What is the second biggest value in 0.3, z, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3bc7d - 2?\nAnswer: 3bc7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x. Let k be b(2). Let g(h) = -61*h - 98. Let z be g(-9). Let s = 454 - z. Solve -s - 1 = k*l, 5*a = -l - 26 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*a + 77. Suppose 27*w - 3811 = 3479. Calculate the greatest common divisor of a and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/8 and ((-396)\/3850)\/((-16)\/(-30)).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -1521*z + 1523*z - 3 - z**2 + 0. Suppose 20*m - 19*m = 2. Determine w(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194028356.3 rounded to the nearest 10000?\nAnswer: 194030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 694\/4623 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -10153967.49 to the nearest one hundred thousand.\nAnswer: -10200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16269659*u**3 - 4727*u + 105.\nAnswer: 97617954*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008) - (1*sqrt(1008))**2 - (-3*(-1 + sqrt(28)) - sqrt(28)).\nAnswer: -1011 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 467120 to the nearest integer?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 m, and 2 g when four letters picked without replacement from {g: 2, p: 10, j: 1, z: 3, m: 3}.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-130)\/(-15)*8343\/44. Let m = 1646 - c. What is the common denominator of m and -1\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000024582978668 to six decimal places.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19314074 a multiple of 962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -8 + 21 + 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 401650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3892013533?\nAnswer: 1931, 2015543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7, -1, 12, 39\/2, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*i + 0)*(-686 + 686 - 25*i).\nAnswer: 50*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -18*a + 550. Calculate the smallest common multiple of m(30) and 690.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -3\/2*q**3 + 0*q**2 + 0 + q. Let l(t) = 2516*t**2 + 2518*t**2 - 139 + 139 - 5032*t**2. Determine a(l(d)).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6353 = -52*r + 12627. Calculate the smallest common multiple of 438 and r.\nAnswer: 2190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) -2\/5 (c) -2\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 17 + 7 - 719*g - 2557*g**2.\nAnswer: -2557*g**2 - 719*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0769 minus 179008?\nAnswer: -179007.9231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1398, 1395, 1392, 1389?\n\"Answer: -3*v + 1401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**3 + 5*r**2 - r - 5. Let c(u) = u**2 - 1. Let w be 4\/(-10) + (-138)\/30. What is w*c(n) + t(n)?\nAnswer: -2*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(600))\/(sqrt(8)*-2*-5) - (sqrt(147) + ((sqrt(147) + -1 + sqrt(147))**2 - sqrt(147)) + -4 - (4 + 2*sqrt(12))).\nAnswer: -581 + 61*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 4*r - 5*w = -1, 0 = -3*r + 5*w + 27. Solve r*c - x - 1 = 0, -2*c - 5*x = -0*c + 5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, x: 2, h: 6, o: 1, r: 4, v: 1}. Give prob of picking 1 j, 1 v, and 1 r.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 3.7. Let m = -1220 + 1217. What is the closest to 2\/7 in -2\/17, m, x?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 281*p**4 - 6876 + 7173 + 35*p**4 with respect to p.\nAnswer: 1264*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 6*r**2 + 4*r + 2. Let i = -92 - -91. Let t be o(i). Suppose -3*w - 2*w = -4*l - 17, 2*w - t*l = 2. What is the remainder when 16 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.34536588 rounded to 3 decimal places?\nAnswer: 23.345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*x - 44139. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-310)\/(-868)*((-12)\/(-5))\/3\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 9339414?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/3)\/(-2))\/(26\/(-1170)*-65).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, m: 8, r: 1, h: 5, k: 2}. What is prob of picking 1 m and 1 k?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - ((-1880)\/25)\/(-8) - -7. Suppose 2 = r - 3. Which is the closest to 0.1? (a) m (b) r (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 14*n**2 - 4*n - 17. Let o be x(12). Suppose v + 0*v = o. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -198685.157 rounded to the nearest ten?\nAnswer: -198690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - (-72 + 21)) + (-14896)\/646?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**2 - o**2 - o**2)*(-106912*o**2 - 3*o + 105849*o**2 + o - 1) + (1 - 2*o - 1)*(-2*o**3 + 0*o**3 + o**3).\nAnswer: -2124*o**4 - 4*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r**2. Let o = -5 - -14. Let w(l) = -o + 9 - l. Determine k(w(j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-3\/5))\/(q*q\/q**(2\/3)))\/(q**(-3\/7)*q**(1\/6)))**(-1\/6) assuming q is positive.\nAnswer: q**(47\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19 * 690250.\nAnswer: 13114750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1478 - -1481. Let y = -11 - -7. Let t = 0.1 + -0.1. What is the closest to t in y, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -94 - -97. Suppose 0 = -n - 2*b + 620, -5*n + l*b = -3120 + 59. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (168\/(-21))\/(-1 + 3). Suppose l - 3*p - 104 = -l, -2*l + 94 = 2*p. Calculate the remainder when l is divided by j\/3*(-315)\/30.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 4*c + 11 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q**3 + 68*q**2 - 92*q - 660 = 0.\nAnswer: -5, -11\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 187 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -295 - 5931*b + 1032 - 120*b + 529 wrt b?\nAnswer: -6051","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1713394\/11 + 155822. Factor -w - 2\/11*g**2 + 72\/11*g.\nAnswer: -2*(g - 18)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77543826 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 127, 21, -0.3, -1\/2, 5 in decreasing order.\nAnswer: 127, 21, 5, -0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u + 7. Let t be b(-3). Suppose 0 = -2*o - 0*o + 10. Let r = -3 + o. Put r, 1, t in ascending order.\nAnswer: t, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43 by -206.\nAnswer: -43\/206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 649085 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 7*k - 23 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 308 = -3*i, 12*i - 3*r = 15*i + 324. Which is bigger: -142 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*b + 5 = 0, 0 = -0*s - 2*s + 3*b + 55. Suppose -3*n = -n - s. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10110100000 (base 2) to base 15\nAnswer: -660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2074*g**2*v**3 + 4*g**2*v**2 + 2*g**2 - 173*g wrt v.\nAnswer: 12444*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8309437 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -25 + (8 - (1 - 2))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2 = -2. Suppose -w*o = o. Suppose 0*b + 2*b - 30 = o. What is the remainder when 44 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (a - a + a)*(68 + 28 + 6) in the form x*a + u and give x.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7415 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18.666 - 0.034. What is d rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 20 + z**3 + 19*z - 48*z - 28*z - 43 + 26*z**2. Let r be p(-28). Let h(n) = 9*n - 3*n - 3*n + 2 - r. What is h(-6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(45) + -3 - -3*sqrt(5)*-5))**2.\nAnswer: 1800*sqrt(5) + 18225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*m**3*v - 465*m**3 - 187*m - 154139311*v wrt m?\nAnswer: -18*m**2*v - 1395*m**2 - 187","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + 11. What is the smallest common multiple of 34 and -3 + (c - (3 + -5))?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -23*s**8\/112 - s**7\/35 - 1275*s**4\/8 - s**2 - 786. What is the second derivative of l(y) wrt y?\nAnswer: -1380*y**3 - 72*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 160, 406, 896, 1714, 2944, 4670, 6976?\nAnswer: 9946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**4\/12 + m**3\/3 - 1394*m**2. Let s(o) = -o + 8. Let v be s(5). Calculate k(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 161453907?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 15, 0 = 2*f + 4*s - 124 - 222. Suppose 5*p - f = 78. Calculate the remainder when p is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*k**2*u + 11*k**2 - 2*k*u - 19*u wrt k?\nAnswer: 4*k*u + 22*k - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2548642, 5097284, 7645926?\n\"Answer: 2548642*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1279 - 29.7579. Let r = 27.8 + w. Round r to 1 dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-90)\/120)\/(6\/(-32)) + 9493. Suppose 9*t + 2639 = p. List the prime factors of t.\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of o**7\/70 - 89*o**6\/40 + 129*o**5\/10 + o**4\/2 - 172*o**3 - 1634*o**2 - o. Factor b(i).\nAnswer: 3*(i - 86)*(i - 2)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1658260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m + 23 = 59*m - 1594 for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 260 - 186. Suppose -2*t - 10 + n = 2*l, l - 5*t = 50. Suppose -5*p = -0*p - l. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 2 = -2*x. Let g be 11 + (6 - 978\/58). Which is smaller: g or x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341157 is divided by 113706?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b**2 - b**2 - 3*b**2)*(32*b - 30*b - 32*b) + (28*b**2 - 27*b**2 + 21*b**2)*(3 - 3 + 2*b) to z*b + p*b**2 + i + q*b**3 and give q.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 128*z**2 + 10*z - 1. Let m be r(-2). Suppose 199 + m = 5*p. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 59740 and 14935.\nAnswer: 59740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggqvqvqgqvgq. What is prob of sequence qgqv?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lckc when four letters picked without replacement from klkkokccfolcokkc?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5*m - 4 = -1, -4*m + 36 = -4*r. Let y be r\/(1 - 4)*-13. List the prime factors of (-1044)\/y - (-20)\/(-130).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 1838 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2684999090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -u**6\/72 + u**4\/6 + u**3\/6 + u. Let r(n) be the second derivative of b(n). What is the first derivative of r(c) wrt c?\nAnswer: -10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + sqrt(8)\/sqrt(4)) - -6*((0 + sqrt(2))*-1 + sqrt(2)).\nAnswer: -4 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or 5\/7781?\nAnswer: 5\/7781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and -4405.\nAnswer: -4402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*2\/(-3)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is e7d7 (base 15) in base 2?\nAnswer: 1011111110000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 0 + 15. Suppose h*c - 30 = 3*o, -50 = 3*o + 3*c - 8. Let m = o - -26. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15173\/10 + -1517. Let f(d) be the second derivative of 11*d - 13\/12*d**4 + 2*d**3 + 0 - 2*d**2 - 1\/30*d**6 + j*d**5. Factor f(l).\nAnswer: -(l - 2)**2*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11146)\/(-10 - (3 - 7))*-3. Let l = -3394 - s. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -9) + -6 - -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 2*g - 80. Let o = -28 - g. Let y(d) = d**3 - 11*d**2 - 9*d - 2. List the prime factors of y(o).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 2\/19 (c) 0 (d) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wqwqrrrrqwqrwrrrr. Give prob of picking 3 r.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1445*r + 79*r**2 + 724*r + 721*r.\nAnswer: 79*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1734*s**2 - 428*s**2 - 422*s**2 + 3094*s**3 - 422*s**2 - 462*s**2.\nAnswer: 3094*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 112 = 745*b - 742*b, -4*b = 5*s - 140. Solve 5*k - 20 = 0, 3*k + 0*k - s = -4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/12052 + 24083\/84364. What is the second biggest value in -4, -285, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*k + 0 + 29*k + 592*k**2 + 0.\nAnswer: 592*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4402711 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 5:36 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12629\/9 + -1401. Let c = 91\/45 - m. Let s = 0.1 - -0.2. Sort s, c, 0.5.\nAnswer: c, s, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**16*t*t*t*t*t*t\/(t\/(((t\/(t*t\/(t*(t**(-7\/4)*t)\/t)))\/t)\/t)*t) assuming t is positive.\nAnswer: t**(69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 78825 + -78877.5128. Let b = l + 0.0128. Round b to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from fkfffkfkkffffk.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 42*p**2 + 5. What is the tens digit of l(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1575 + -937. What is the tens digit of (m - 34) + 1 + -2 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28184 + 28184 + 604*c)*(-4*c**2 + 3*c**2 + 2*c**2) + 2*c**3 + 2*c - 2*c.\nAnswer: 606*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 3*r + 4. Let c be b(-3). Suppose 2*n - 18 = c. Let q be 1*2*n\/88. Which is smaller: q or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0302584 or 10.94?\nAnswer: -0.0302584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18164*g**4*v**3 + 226*g*v**3 - 108*v**3 wrt g?\nAnswer: -217968*g**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -129 + 129.57. Let j = v + 78.43. Let r = -80.13 + j. What is r rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 912388?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 + 9*o**2 + 0*o**2 + o**2)*(2*o - 2*o + 2*o**2).\nAnswer: 2*o**5 + 20*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two thirds of a year in months?\nAnswer: 208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-105)\/(-14) - (-3)\/(-6). Sort -6, 2, f in descending order.\nAnswer: f, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*sqrt(539))**2 + -5 + (sqrt(1584) + 1 + sqrt(1584))*1*-5.\nAnswer: -120*sqrt(11) + 1068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 577307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 21*k**2 - 23*k + 2. Let t be y(4). Let i = 247 - t. Sort 0, i, 5 in ascending order.\nAnswer: 0, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.941 and 3?\nAnswer: 2.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -9 + (9 - (6 + -10)) - 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 911333 divided by -163\nAnswer: -5591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyi when three letters picked without replacement from {i: 6, y: 7}.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 196043319 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.93? (a) -5 (b) -1 (c) -0.3 (d) 7 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 92485 to the power of 1\/2, to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 8*m + 13. Let t be 15 + (-8 - (2 + -6)). What is the units digit of r(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h + 7. What is w(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000001 (base 4) in base 7?\nAnswer: 14642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 340*p**3 - 3859*p**3 - 648*p**3.\nAnswer: -4167*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10340*n*x - 292890069*n + 374*x - 1 wrt x.\nAnswer: 10340*n + 374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1096 - 1099. Which is the fourth smallest value? (a) -0.3 (b) 52 (c) 0.4 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 998.6404 litres?\nAnswer: 998640.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*k**4*q - 13*k**4 - 3*k**2*q - 2*k*q - 12*q wrt k?\nAnswer: -120*k*q - 312*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -16511, -66024, -148547, -264080?\n\"Answer: -16505*v**2 + 2*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 20.4. Let z = g + 1.35. Let b be (2 + (-6)\/4)\/(5\/(-2)). Sort b, z, -3 in increasing order.\nAnswer: -3, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8 + 12)\/(-8)*-1086. Let h = w - 548. Sort 9, 2, h in decreasing order.\nAnswer: 9, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 56667 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 204, 785, 1752, 3105?\nAnswer: 4844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - ((-105)\/(-10))\/1.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8167 in 0, 14, -39, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -0.3401\nAnswer: -1.3604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 80.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 395253709?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4, -4*n - 4*q + 5 = -7. Let c = n - 6. Is 2 + c\/(12\/(-3177)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1930847*z + 1766 + 64 + 2494 = -1930659*z for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 b when two letters picked without replacement from bppbppppbbppbcbbppbb?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/(-120)*-8*(-2)\/13. Which is smaller: -0.79 or i?\nAnswer: -0.79","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.94605 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(2\/9)\/u)\/u)**(3\/5)\/(u**2)**(-11)*(u\/u**1)**32\/(u**(1\/12)*((u*u**(2\/3))\/u)\/u) assuming u is positive.\nAnswer: u**(1307\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8380 is divided by 186?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4170 - -6621. Is k a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 69*i. Let g(l) = 4*l. Give g(b(a)).\nAnswer: 276*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/73 not equal to 58090?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 661045 a multiple of 505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 0*g**2 - g**2)*(48 - 446 - 164).\nAnswer: 1686*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*b - 34*b + 2*q - 6 = 0, -b = 2*q + 2. Suppose -4*a - 18*l + 15 = -21*l, b*l = -2*a + 24. Solve 3*g - a + 9 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4660834 + -2?\nAnswer: 4660832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108751.\nAnswer: 108751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3223*c + 3055*c - 2184 = 0 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**2 + 2*m**2 + 4*m + 2*m**2 - 5. Let x be r(-5). Calculate the greatest common factor of 175 and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - t - 16. Let m(j) = j**3 + 42*j**2 + 183*j - 58. Let w be m(-37). Suppose b = 2*u - 7*u + 14, u = -b + 6. Solve t = b*g + w for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + o - 39 = 0, -3*r + 2*o + 10 + 11 = 0. Sort 4, -5, 1, r, -3 in increasing order.\nAnswer: -5, -3, 1, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -6*q - 23. Give k(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7588 = 641*m - 99*m for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 5*a - 15. Suppose -b = h + 2*b - 37, -5*b + 127 = a*h. Calculate the greatest common divisor of h and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*u**3 - 5*u**3 + 17*u**3.\nAnswer: 101*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130 divided by 4.\nAnswer: -65\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 8 = -4*f, f + 4*f + 5*v - 10 = 0. What are the prime factors of -19*(-3 - -4 - f)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 273 + 46b7c?\nAnswer: 47011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 211*o*x**2 - 220*o*x - 2*x**2 + 2*x wrt x?\nAnswer: 422*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.066 and 0.01638.\nAnswer: -0.08298108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/42)\/(-2*5\/35). Put x, -0.4, -5\/2, 2\/23 in descending order.\nAnswer: x, 2\/23, -0.4, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4615, 3, -1, 5 in increasing order.\nAnswer: -4615, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r - 22. Let w(s) = -s - 22. Let t(c) = 3*w(c) - 4*z(c). Let d(g) = g**2. What is t(d(h))?\nAnswer: h**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 193 (b) -2 (c) -0.4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven quarters of a centimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1842 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.04898 + -3.04898. What is the closest to -0.1 in -2\/19, -0.65, b?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 1 + 7 = 0. Solve 2*o - t - y = 0, -5*o + 4*o + 9 = -2*t for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 8*u**2 + 7*u - 7. Let d be b(-7). Let o = d - -10. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.348 - -2.652. Sort -8\/9, v, -1\/6 in increasing order.\nAnswer: -8\/9, -1\/6, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 775, 2267, 3759, 5251?\nAnswer: 6743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 12*a - 12. Let l(w) = 2*w - 44. Let u be l(25). What is the remainder when 83 is divided by f(u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 5802233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.2 + -6.2. Let x = -21 + 17. Which is the third biggest value? (a) -0.2 (b) n (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*r + 185 = d, 20 = 4*r - 8*r for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q**5\/6 - 114437*q**4\/6 + 190719*q**3\/2 + 343313*q**2\/6 - 972677*q\/3 + 190720 = 0. What is q?\nAnswer: -2, 1, 5, 114432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d - 7. Let z be j(5). Let i be z\/(-2) - (-5 + 3). Suppose -i*t - 9 = 0, -v + t = -4*v + 573. Does 48 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 844815460 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 299683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 - 1894*o**2 + 11418*o - 17154.\nAnswer: -2*(o - 3)**2*(o + 953)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62566\/(-82)*(-78)\/(-546).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008141568 to seven dps.\nAnswer: -0.0000814","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 5*y = 51, 71*u - 2*y - 22 = 73*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-21) - (-628)\/(-154). Which is smaller: -3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -5\/12*f**4 + 5\/2*f**3 + 1\/42*f**7 + 1\/12*f**6 + 0*f - 1 - 4*f**2 - 1\/3*f**5. Let b(p) = 0. What is p?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8335290 is divided by 1303.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 4*n - 79, -3*n - 6 = 3*q - 120. Let m = 33 - q. Solve v + 1 - 4 = m for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*p + 6. Suppose 6*k - 10 = p*k. Solve 2*w - k = -3*z - 3*w, 4*w = 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327214 is divided by 46743.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -8*i**2 - 18*i + 7. Let f(k) = -3*k**2 - 6*k + 2. Let j(h) = -4*b(h) + 11*f(h). What is j(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -25, -66, -123, -196, -285?\nAnswer: -390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + -2 + -3 + sqrt(11) + (sqrt(1584) + -2)*4 + (2*sqrt(1584) - sqrt(1584)) + 1)**2.\nAnswer: -1708*sqrt(11) + 41127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1732, -7556, -17472, -31480, -49580, -71772?\nAnswer: -98056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3999, -8002, -12025, -16068, -20131, -24214, -28317?\nAnswer: -32440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12794, -12793, -12792?\n\"Answer: h - 12795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + -4)\/(6\/(-21)). Which is smaller: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -3. Let i(z) = -z**2 - 4*z. Let r be i(-3). Let c be (12\/56)\/(r\/(-4)). Sort 2, n, c.\nAnswer: n, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 47. Let n(t) = -24*t - 6. What is n(o(z))?\nAnswer: -24*z**2 - 1134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/(-36))\/(56\/(-336))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*f*n**4 - f*n**3 + 23*f*n**2 - f + n**6 wrt n.\nAnswer: 96*f*n - 6*f + 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*o**4\/7 + 162*o**3 + 2052*o**2\/7 + 1320*o\/7 + 288\/7 = 0. Calculate o.\nAnswer: -12, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11\/30 - -2\/15. Let n = 0.078 - 6.278. Let q = n - -6. Which is the third smallest value? (a) u (b) 4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l. Let o be y(-5). Suppose 3*m - 3*v + 19 = -95, -2*v - 197 = o*m. What is the common denominator of m and -37\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -9*y + 5. Let n(a) = -13*a + 4. Let o(s) = -4*h(s) + 3*n(s). Determine o(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4*g**2 + 2*g + 1. Calculate the remainder when h(-3) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 896\/(-12) - 42042\/(-546)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1810 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of w**2\/2 + 2*w - 3. Let o(x) = -x**3 + x + 1. Let i(t) = c(t) - o(t). What is the derivative of i(n) wrt n?\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 0*a**2 + 0*a**2 + 9*a**2 - a. Let g be -1 + 0 - 2\/2. Is t(g) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*n - 20 = -89*n. Suppose -i + 4 = -2*q + 5, -3*i + n*q = -5. Does 3 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 58129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*4\/(-30) - (-8428)\/67080*13. Find r, given that -j*r**2 - 6 + 6*r = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -281, -560, -841, -1124?\nAnswer: -1409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -2 - (0 - 2). Is k - 227*(-5 + 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17082 to the power of 1\/2, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29.37, 2, -4\/15.\nAnswer: -4\/15, 2, 29.37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/5 of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 29*j**2 - 111*j + 2. Let v(u) = -2*u**2 + 4*u. Determine -l(r) - 8*v(r).\nAnswer: -13*r**2 + 79*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -88 + 51. Let x be 2\/(-7) + h\/(-7). Let n(y) = -33*y - 21. Let f(a) = -885*a - 889*a - 889*a + 3560*a + 5 - 889*a. What is x*n(o) + 21*f(o)?\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -884427 less than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4.412 (b) -1\/6 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 866456 is divided by 12397?\nAnswer: 11063","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - -20 - 11) + 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**3 - 11*j**2 - 13*j + 6. Let i(l) = l**3 + 2*l**2 + 2*l. Let d(t) = 3*i(t) + v(t). What is d(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3723*-379\nAnswer: -1411017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18738 (base 11) in base 12?\nAnswer: 13195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 26 - 22*v)*(-227*v + 1105*v - 272*v).\nAnswer: -13332*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*w**3 - 53*w**3 + 4*w**4 + w)*(-5 + 5 + w).\nAnswer: 4*w**5 + w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 649 is divided by 93.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gvgv when four letters picked without replacement from {g: 7, v: 12}.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -o**4\/2 + 5*o**3\/3 + 3*o**2 - 6*o - 21. Let v(j) = -4*j**3 + 11*j**2 + 13*j - 13. Calculate 13*c(n) - 6*v(n).\nAnswer: -2*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 123373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a + 96. Let r(v) = -v - 2. Let z be r(-6). Suppose 0*d = z*d. Let s be b(d). What is s rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 992 + -992. Solve z = -2*h - 4, 8*o - 6*o - 4*h = 18 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s - s - 661 - 3*s - 3*s**2 + 485 in the form h*s**2 + m*s + t and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*k**2 + 5*k**2 + 2*k**2)*(5 - 2 - 1)*((0 + 2 + 0)*(-1 + 0 + 2) + 0 + 1 + 1) to the form w + j*k + r*k**2 and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -5259 - 5972*r - 5255 + 10513 as j*r + w and give j.\nAnswer: -5972","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -930 divided by 1\nAnswer: -930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 9:03 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 12) to base 15.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*v - 269*v = -84 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*v - 1699 = 1467 + 698 for v.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 5*i + 0 = -35, -3*a = 2*i - 23 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -d + 5*f, 2*d + 3*f = 5*d - 132. Suppose -d = -3*x + 11. Let u = -99\/5 + x. Is u bigger than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 566 and 35375.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12175*k**3 - 2657*k**3 - 24385*k**3 - 6600*k**3.\nAnswer: -45817*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 464901?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + 369 - 381 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gglg when four letters picked without replacement from gggjggjglgsljlglgg?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26981 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2010 and 0.051.\nAnswer: 2010.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -15870 < -15872?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l + 25*l - 81 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 263787331 a multiple of 1151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 42\/5 of a meter?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*r + 236 = -62*r - 442 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 0.1, -1, 9, -3, 64 in ascending order.\nAnswer: -3, -1, -1\/7, 0.1, 9, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*a + 14*a + 91*a - 17*a - 21*a.\nAnswer: 41*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1840)\/138*(-48)\/80*(-10)\/4?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2903 + 2906. Solve -j*f + 16 = f - 4*z, 3*z = -4*f - 19 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1829628 by 27.\nAnswer: 67764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 44*q**3 - q**2 - 4*q - 4. Let w be c(-1). Let v be w\/(-12) - (4 + 34\/(-8)). Solve 4*s - 4*r + 36 = 0, v = 3*s + 3*r + 1 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 76 or 41?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2684 = 5*h - 7*h. List the prime factors of h.\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 f when two letters picked without replacement from {g: 2, f: 9}.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1126903, -2253827, -3380769, -4507729?\n\"Answer: -9*s**2 - 1126897*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118786?\nAnswer: 2, 59393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - (-36 - -1)\/1. Let m = s - 21. What is the smallest common multiple of m and 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -116 - -210. Let b(m) = -5*m**2 + x - 94 + 0*m**2. Let y(d) = d. What is b(y(z))?\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, h: 3, b: 2, t: 1, y: 1, a: 1}. Give prob of sequence tb.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1148 and 1917328?\nAnswer: 78610448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11)\/(-4) - 10\/(280\/21). Suppose -5*l + 4*k = -902, j*k + 3 + 3 = 0. List the prime factors of l.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19*c*l**3*r - 115*c*l**3*v + 3247*c*l*r*v - 3407*c*l - 2*l**3*r - 3*l*r + 2*l*v wrt v.\nAnswer: -115*c*l**3 + 3247*c*l*r + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and 3680?\nAnswer: 7360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -1244486\/3 and -414828 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - -1244341?\nAnswer: 1244332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -20*b - 1. Suppose -21*q = -18*q + 15. Let i(j) = -j**2 - j + 16. Let c be i(q). What is the tens digit of p(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-1 - (-131)\/134) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*n = -12, 4*n + 3 = 5*n. Suppose -q*a + 0*a - 13 = -5*t, 0 = t + 5*a - 25. Suppose 135 = 4*z - t. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.5 - 11.5. Let t = 5 + j. Let z = 453.7 + -454. Sort 19, z, t in ascending order.\nAnswer: t, z, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -52, -83, -146, -253, -416, -647, -958?\nAnswer: -1361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 751326529?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1508*j**4 + 870*j**4 + 858*j**4 + (-j**3 - j**3 + 3*j**3)*(-5*j + 2*j + 4*j) - 4*j**3 + 3*j**4 + 4*j**3.\nAnswer: 224*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one eighths of a tonne?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-14 + ((-5179)\/(-273) - 29\/(-377))).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1142452 (base 6) to base 2.\nAnswer: 1110101101000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 9:02 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*((d*d*d**(-1\/2))\/d)\/d*d)**(-4\/3)\/(d*d**(-1\/2))**(-9))\/((d**(-1)\/d)**(-41\/5)*d**(-2\/15)\/((d\/((d**(-4)*d)\/d*d*d))\/d)) assuming d is positive.\nAnswer: d**(-353\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -2 + (-14)\/2. Let t be z\/(-7)*3\/(-12). Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-20 + 5 + (-21 - 4 - -2)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 - 2*m - 3*m**2 - 13 + 3*m + 3*m**2. What are the prime factors of f(-6)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**3 - 82*x**2 + 31*x - 211. What is t(27)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.11, -3\/97, 2 in descending order.\nAnswer: 2, 0.11, -3\/97, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 4*o**4 - 18704*o**3 - 16*o**2 + 74816*o = 0.\nAnswer: -2, 0, 2, 4676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hq when two letters picked without replacement from {h: 1, q: 1, r: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8983792um to nanometers.\nAnswer: 898.3792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -22335704014972?\nAnswer: -22335704014969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 - 40. Suppose 0 = -z*i - 5*h - 9, i = 4*i + 2*h + 19. Let r(n) = -5*n + 9. What is the units digit of r(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, l: 9, d: 8}. Give prob of sequence dl.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 48789387, 48789405, 48789423, 48789441, 48789459?\n\"Answer: 18*w + 48789369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 2*z - 2. Calculate l(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 806 and 767?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2 = 4. Find k, given that -7*k**2 + b*k**2 - k**2 - k - k = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27154578*k**3 - 6164*k**2 - 15?\nAnswer: 162927468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 1011*s**2 + 260711*s + 1216. Determine k(1224).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -13*b - 31. Determine h(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5524015 - 4?\nAnswer: 5524011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1261\/(-20592)*-4 - (-87)\/(-319)\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4358758.\nAnswer: 2, 29, 223, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/21590 and 133\/3810?\nAnswer: 64770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -r**6\/80 + r**5\/120 + r**4\/24 + r**2 - 8. Let v(k) be the second derivative of h(k). Solve v(f) = 0 for f.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/(-6*sqrt(44)) + (-1*sqrt(13)*-5 - (-1 + sqrt(13))*5) + 1)*6.\nAnswer: -sqrt(13)\/2 + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + o = 2*l + 12, -10 = 3*l + 2*o for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-192)\/(-14) - (-12)\/42 - 2. Let q(h) = 24*h. Let t be q(-3). Let m = 102 + t. Calculate the highest common factor of j and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -53536 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7002 - 1424 = 5*y - 2*k, -4*y + 4484 = 2*k. Which is bigger: 1119 or y?\nAnswer: 1119","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3 + (1 + 3 - 5)*(3 - 1 - 3))*(-16 + 16 + 30*q) + (4*q - 5*q + 3*q)*(5 - 3 + 0).\nAnswer: -26*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -102798.19604 + 1.39604. Let n = 102796.8930238 + h. Let o = n - 0.093. What is o rounded to 6 decimal places?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 * -168.78434.\nAnswer: 3038.11812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4903.1 - -4903. What is the biggest value in 0.4, -4, 0.06, -1\/4, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*t - 3)*(-88 + 88 + 7*t**3) + (0 + 0 - t**2)*(-6*t**2 + 2*t**2 + t**2) + (2*t + 0 + 0)*(-2*t**3 - 3*t**3 + 9*t**3).\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11112221 (base 4) in base 6?\nAnswer: -245305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 5*w**3 - 4*w + 6. Suppose -q - 2*y - 2 = 3*q, 3*q = 5*y + 31. What is the tens digit of n(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8506 - 8502. Let w(o) be the first derivative of 11\/2*o**2 + 0*o + 15 + 0*o**3 - 16\/5*o**5 + 0*o**f. Find the second derivative of w(d) wrt d.\nAnswer: -192*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (2 - (4 - 1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 68*i**2 - 283*i - 348. Calculate s(72).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16 + -2 - 2) + -2. Let a(j) = 5*j**2 + j - 4. Let y(m) = -3*m + 16. Let o be y(4). Let t be a(o). Calculate the greatest common divisor of t and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -140, -176, -212, -248?\n\"Answer: -36*x - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94022 is divided by 3481.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(32\/(-126))*379\/((-76179)\/268)\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -41*-838\nAnswer: 34358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000904353 to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 155.6 + 12.4. Let p = -168.00000153 + s. What is p rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128512, 128508, 128506, 128506, 128508?\nAnswer: 128512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*m - m - 13*m - 108 = 0. Let v = -24 + 14. Let x be 64\/v - 24\/40. Which is the closest to x? (a) 0.1 (b) -5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3*j - 3 = -j, -j - 3 = 0. Let c = -0.009 + 2.909. Let o = -1.1 - c. What is the second smallest value in o, h, -0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000101 - 1000100101111001010?\nAnswer: -1000100101110000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10388127?\nAnswer: 3, 229, 15121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxnnxgggnndgbnw. Give prob of sequence dgb.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*r - 25 - 14 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 151.0449 centuries in years?\nAnswer: 15104.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 5 = -8*t, -9*p + 643*t + 655 = -12*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/4*(-60)\/21. Suppose -5*a - 5*k + s = -0*k, -a = 2*k. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3318651 (base 9) to base 3\nAnswer: 10100122201201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 166182?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19.393652 - 0.606808. Let z = -20 - t. Let x = 0 + z. What is x rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 103 + 64. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126\/24 + 1\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(200) + sqrt(200))**2*5.\nAnswer: 16000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-177)\/(-5) - 18\/45. Let p(z) = -m + 71 - z**2 - 36 - 3*z. Let j be p(-2). Solve -q + 1 = -j for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/1)\/1*1. Let w(m) be the third derivative of 2*m**5\/15 + 13*m**2. What is w(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 200445*k**2 - 271209*k wrt k?\nAnswer: 400890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/333)\/(-20)*-3?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/15 of a day?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -3 - (-2 + 3 + 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 1 + 2 = 2*y, 4 = -u + y for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-12)*(-2 + (-2742)\/(-1365)). Let q = n + -67\/546. Let c(f) = f**3 - 3*f**2 - 5*f + 5. Let d be c(4). Which is smaller: d or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40 + -1?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 5*w = 989 - 978, 0 = 3*k - w - 25 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 390\/11 + -769\/22. Let g(l) be the second derivative of 0*l**3 - 9*l - 7\/5*l**5 + 0 + v*l**2 + 0*l**4. Find the first derivative of g(z) wrt z.\nAnswer: -84*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w\/w**4)))\/((w*w**(-4)*w)\/w))**9\/((w**(2\/9))**(-18\/7)\/((w*((w\/w**1)\/w)\/w)\/(w\/(w**(3\/2)*w*w)))) assuming w is positive.\nAnswer: w**(29\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h**2 - 51*h + 68. Determine c(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + -22 + 11 - (-5 + (0 - -16)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/6)\/s**8)\/((s*s*s*s**(-10))\/s**(-2\/19)) assuming s is positive.\nAnswer: s**(-107\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-13 + 18\/(-42) + 12)\/(144\/(-42))\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a**2 + 6*a + 4. Let u be 3\/(190\/20 + -11). What is p(u)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7065?\nAnswer: 3, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 509 - -78. Let s = h + -580. Solve -2*n + 2*j + 5 + 13 = 0, s = -2*n - 3*j for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1783298347 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -87 - -36. Let y = o - -55. Suppose 56 = 4*q - 0*q - 4*s, y*q + 2*s = 38. Calculate the remainder when 31 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -50 - 46. 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: Let j(x) = 1. Let h = -91 + 55. Let c(s) = 6*s + 18. Let q(o) = h*j(o) + 2*c(o). Let z be q(1). Calculate the greatest common divisor of z and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 5*q + 6. Let k be w(5). Let x be -4 + k + -4 - -26. Solve -2*o - 6 = -2*h - 4*o, 0 = 5*h - 4*o - x for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.8 + -4. Let q = g - -0.1. Let k be 11\/2*(-3 + -1)*(-51)\/1496. Which is the closest to 1? (a) q (b) k (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 29*x - 144. Let v = 12058 - 12035. Determine n(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -43. Put -6, k, -2\/13 in decreasing order.\nAnswer: -2\/13, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132106*v - 54312 = 132690*v for v.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 d when four letters picked without replacement from {d: 6, h: 4}.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110 + 2272*y**2 - 2270*y**2 - 110.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*w = -8796 + 9096 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**3 - 45*q**2\/4 + 3*q = 0.\nAnswer: -4, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 43838579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**2 + 194*v + 127. Let z be l(-64). Let i(w) = 5*w**2 - 22 + 22 + w + 2*w**2. Calculate i(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q - 9*q**4 + q**3 + 9*q**2 - 7*q + 7*q wrt q.\nAnswer: -216*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0 (b) 0.1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pseesppbppsppeepppss. What is prob of sequence ps?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*x - 6. Suppose -t + x = -1. Suppose -2*z = z + 9, 4*z = t*k - 4. Which is smaller: k or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of 0*w**3 + 0*w - 1\/60*w**5 + 0*w**4 + 3*w**2 + 0. Let h(g) be the third derivative of g**5\/30 - g**2. What is h(k(m))?\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*h**2 - 14*h**2 - 6*h**3 + 3*h.\nAnswer: -6*h**3 + 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**5\/11 - 162126*g**4\/11 + 648612*g**3\/11 + 6161212*g**2\/11 + 9728094*g\/11 + 4377618\/11 = 0.\nAnswer: -81067, -3, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 63.16594 and 0.4.\nAnswer: 25.266376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(-3)\/(-6) - -1. Let v be 2*(-1 + (-21)\/(-6)). Let h(p) = -3 + 2 + v*p**3 - 2*p**3. Determine h(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wodu when four letters picked without replacement from ourudrw.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 10:19 AM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0) + 15 + -17?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**4\/4 + 143*h**3\/4 - 889*h**2\/4 + 745*h\/4 = 0.\nAnswer: -149, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 + 60. Let u = -46 - -70. Let g = u - c. What is the smallest value in g, 2\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(2 + -1) + 0. Let j be (-4)\/20 - 4\/10. Let q = 88 - 89. What is the closest to u in q, j, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 0, -27, -74, -147, -252, -395?\n\"Answer: -w**3 - 4*w**2 - 8*w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 176.9956 to the nearest 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24\/(-7 - 460\/(-65))?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 8*r. Let x be y(4). Let c = x - 24. Let v be -4 + c + (-3)\/1. Is v smaller than -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 8:19 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1040)\/104 + 92\/9\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 2. What is the smallest common multiple of 12 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 312, 1252, 2838, 5082, 7996, 11592, 15882, 20878?\nAnswer: 26592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 109435?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 999685783?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*w + 2. Suppose 8 = o - 2*z, -w*o + 7*z - 3*z + 28 = 0. Suppose 2*d - o = 4*d + 2*h, 5*d = 3*h + 25. Solve u = d*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 6*o**2 + 5*o - 8. Let w be h(-7). Suppose -l = -w*l + 15. Differentiate 3*s - l - s**2 + 4*s**2 - 3*s wrt s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 3*x + 14. Suppose 5*o - 9 = 6. What is the remainder when x is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 0.05, -0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1212?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10049 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*x = 8, 212*i + 4 = 208*i + x. Solve 6*h - 160 + 130 = i for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - f + 0*f)*(3*f + 0*f - 5*f)*(3 - 27 + 5)*(4 + 2 - 4).\nAnswer: -152*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does -95804\/2911 = -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00041908 to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*r**3*t**3 + 62*r**3*t**2 + 3*r*t**2 - 2*r*t + t**3 wrt r?\nAnswer: -48*r*t**3 + 372*r*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -77.7 and -3.\nAnswer: 233.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - 3*p - p)*(-7*p**3 + 5*p**3 + 6*p**3 + (-p**2 + 0*p + 0*p)*(-3*p + 5*p - p) + p**3 + 0*p**3 - 9*p**3).\nAnswer: -5*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18643*m**3 - 14736*m**2 - 2*m wrt m?\nAnswer: -111858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*o**2 + 3 - 3.\nAnswer: -152*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awa when three letters picked without replacement from {w: 1, a: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -116 + 117. Is -34 >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38647992?\nAnswer: 2, 3, 1610333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 2:02 PM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tjqj when four letters picked without replacement from tjsbjbsjsssttjqtqsu?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 234009700 divided by 42470\nAnswer: 5510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/(-75))\/(2040\/(-150)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18200 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009241 to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3590 + -2192. List the prime factors of h.\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h - 35248. Let d(z) = -2*z - 777. What is d(x(p))?\nAnswer: -6*p + 69719","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 j, and 1 u when three letters picked without replacement from {g: 1, u: 1, j: 1, l: 1, h: 2, d: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -977*u**2 - 4343*u + 2685. What is x(-5)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 156944 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, -249, -712, -1359, -2190, -3205, -4404?\nAnswer: -5787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -60*i + 1674. Determine c(28).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i - 17. Let j be m(16). Suppose 93 + j = 3*p. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 5*h**2 + 6*h + 1. Let i be a(6). Suppose -4*m = -3*z - 8, -2*z + 0*z + 23 = 3*m. Suppose k + 10 = 5*v - z, 3*k - 2*v + 3 = 0. Is i > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -42 + 0*q + 39 - 3*q. What is x(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -80 + 10*o + 80. Let w(z) be the first derivative of z**2 + 9. Give v(w(g)).\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 4*t**2 - 2*t - 5. Let p be w(-4). Suppose p*f = 6*f - 69. Is 9 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one quarters of a century?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19877*f**3 + 1223*f**2 - 14*f wrt f?\nAnswer: -119262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (85\/476)\/((-6)\/(-133)*2) and -65\/114.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbmbmbbmbbmbxxmbmmm. What is prob of picking 3 m?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 675056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 3) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21205*q - 750597 - 1094238 = 0 for q.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f - 41 = 80 - 1. Let x(w) be the second derivative of -3\/5*w**2 + 1\/10*w**4 + 10*w - 1\/15*w**3 + 0 + 1\/50*w**f. Factor x(s).\nAnswer: 2*(s - 1)*(s + 1)*(s + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24888 - 24883. Let p(t) = 9*t**2 + 5*t - 1. Let b(n) = -8*n**2 - 4*n + 2. Calculate s*p(f) + 6*b(f).\nAnswer: -3*f**2 + f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17044990?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -503*d**3 + 9*d**2 + 69*d. Let s(h) = -251*h**3 + 5*h**2 + 35*h. Let v(t) = 3*o(t) - 5*s(t). What is the second derivative of v(r) wrt r?\nAnswer: -1524*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 10. Let p = 3 - 1. Let m be p - -3 - (0 + -2). Let l be j(m). Solve 9 + 6 = l*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71275 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -156*h + 158*h + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 23035, 92164, 207371, 368650, 575995, 829400, 1128859, 1474366?\n\"Answer: -l**3 + 23045*l**2 + l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10071, -40075, -90073, -160059, -250027, -359971, -489885, -639763?\n\"Answer: g**3 - 10003*g**2 - 2*g - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -8 - (-1 - -3 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 7:01 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + (sqrt(500) - (2 + 3*sqrt(500))) + sqrt(500) - sqrt(500))**2 + sqrt(500) + (-2 + sqrt(245))**2 + -1*sqrt(180) + -4 + 5.\nAnswer: 16*sqrt(5) + 754","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a6a (base 12) to base 2.\nAnswer: -110010110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3\/3070 + 3061\/9210. Let a(w) be the second derivative of 5*w - q*w**3 + 0 - 5\/2*w**2. Determine a(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -1 + 6*p**4 + 0*p**5 + 0*p - 1\/2*p**6 + 0*p**3 - 24*p**2. Solve s(z) = 0 for z.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 - 20*i + 15.\nAnswer: 5*(i - 3)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 71567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iffb when four letters picked without replacement from figgttfbfftfgftb?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 112, 56, 1, 4 in descending order.\nAnswer: 112, 56, 5, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 = -4*a + 3*p, -7*a = -8*a + 3*p + 50. Let d(g) = -4*g + g**2 + 4*g + g + a - 48. Give d(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + -39 + (120 - 39)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -752*r**3 - 764*r**3 + 6*r + 1519*r**3.\nAnswer: 3*r**3 + 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4113, -4115, -4117?\nAnswer: -4119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, e: 2, r: 7, a: 5, m: 1}. What is prob of picking 1 a, 2 n, and 1 m?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - -20 - (4 + -2 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.91 and -1211959.\nAnswer: -1211959.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*k + 35 + 218*k**3 + 290*k**3 + 9*k + 128*k**3 - 7 wrt k.\nAnswer: 3816*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/4 and 15\/188.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3799*t**2 - 88*t**2 - 824*t**2 - 1214*t**2 + 125*t**2.\nAnswer: -5800*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*c**3 + 224*c**3 - 121*c**3.\nAnswer: 269*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23654916 and 40500.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -35*t**3 - t**2 - 2*t - 1. Let z be o(-1). Let d = z - 14. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 46517, 46528, 46539, 46550?\n\"Answer: 11*j + 46506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -51.05 and 28.\nAnswer: -23.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 4*l + 4. Let v be 4 - (l + -2 + 2). Suppose -i = -2*i + v. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.9 + 0.1. Let f = 74 + -77. Sort f, 0, b in decreasing order.\nAnswer: b, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-534)\/36 + 43\/(-258). Put 10, -7, w, -2, 3 in increasing order.\nAnswer: w, -7, -2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*p**6 - 12*p**2 + 7*p**4 - 5 - 18*p**4 - 39*p**2 - 2*p**4 - 3*p**5 wrt p?\nAnswer: -4320*p**3 - 180*p**2 - 312*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0827 - 2.0827. Which is the closest to 1\/19? (a) 1\/5 (b) 0.3 (c) n (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/((-60)\/(-28)) - 4\/(-12). Let v(d) = -17*d**3 - 2*d**2 + 4. Does 22 divide v(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 8*s = 9*s - 3102, 0 = -o - 5*s + 785. Is 25 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 512 a factor of 170496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*c**2 + 4*c**2 - 1 + 2*c - 2 - 2*c to the form z + n*c + r*c**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mlch when four letters picked without replacement from lmcacclmhmhhlmm?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**6 - 51*f**5 - f**2 - 12*f.\nAnswer: -120*f**3 - 3060*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15719\/2550 - 1\/425. Calculate the common denominator of ((-1226)\/364 - (-10)\/(-35))\/1 and w.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 5*s - 38. Let c be q(23). Suppose 0*v + 4*v = c. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 5*u**2 - 8*u - 4. Suppose 20 = 2*t - 2*z, -7*t - 2*z + 52 = -3*t. Suppose -6*l + t - 48 = 0. Give w(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p - 1 = -12*p. Let l be (2*2)\/p + 60\/(-20). Let x(q) = q**2 + q - 1. Let i(a) = -7*a**2 - 7*a + 7. Let j(v) = i(v) + 6*x(v). Calculate j(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(5 + -3*(-22)\/(-12)). Let n be 3 - (-7 - -4 - -4). Solve n*x + 4*j + 12 = o, 0*x - x = -5*j - 29 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 56*p - 55*p. What is the highest common factor of 6 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 160.689423 to 1 decimal place.\nAnswer: 160.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 - -31. What is the second derivative of 8*r + 4*r**2 + g*r - 5*r**2 wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*s + 3*u, 9*s - 2*u = 11*s + 8. Let g be s + 29 + 115\/(-23). Solve 3*c - g = c + 5*h, 2*h + 10 = 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91535343?\nAnswer: 3, 31, 89, 11059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(98) + sqrt(2)) + -1 - (-4 + 1*sqrt(1088))**2.\nAnswer: -1105 + 513*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -271, -5, 15, -63, -1 in descending order.\nAnswer: 15, 3, 1, -1, -5, -63, -271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 u when two letters picked without replacement from umtalot.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15156.09 - -15159. Which is the nearest to -5? (a) -5 (b) 0 (c) -3 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 330*u**2\/7 - 3*u\/7.\nAnswer: 3*u*(110*u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.12 (b) 73 (c) 1\/2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = z, -4*y - 1044 + 1022 = -2*z. Sort -4, -49, y, -1.\nAnswer: -49, -4, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**3\/2 + 6*u**2 + 30*u + 32 = 0. Calculate u.\nAnswer: -2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j - 54 + 0 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.05, -9\/2, -1\/7, 191\/3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 18113, 36224, 54335?\n\"Answer: 18111*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 7 - -1) + -5 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9490270913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 - 341 = -9*r. What is the highest common factor of 429 and r?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5222241576 - 0?\nAnswer: -5222241576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h + 21*h = 3*i - 27, -4*i = 5*h - 1. Solve -3*d - 2*d = -j + 7, -11 = -i*j + 3*d for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 66918, 267576, 602006, 1070208?\n\"Answer: 66886*y**2 + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - -1 - (-3 + 4). Suppose u = -3*m - 0*m + 48. Is m - (2 + 0)\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7883387 is divided by 1020?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -39153 take away 10149?\nAnswer: -49302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 460446 a multiple of 842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -482*c + 9 = n - 485*c, 2*c - 5*c = 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*k + 5504 = 17*k + 193*k for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1850 equal to -7403\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f + 8. Let u be k(0). Suppose 1 + u = 3*o. Calculate the lowest common multiple of 20 and ((2 - o) + 28)*(-2)\/(-3).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 less than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 259.16 - 259.1. What is the nearest to -1 in s, 3, -70, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*c - 2. Suppose 0 = 4*h - 4*v + v + 912, -c*v = -5*h - 1147. Let y = -68 - h. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.13+-25467084.2\nAnswer: -25467084.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -9138*b + 245. Is i(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -83*f**2*o**2 + f**2 + 6*f*o**2 - 2*o**3 - 2*o**2 - 17*o + 175 wrt o.\nAnswer: -166*f**2 + 12*f - 12*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6478, -12957, -19436, -25915?\n\"Answer: -6479*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 5:30 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + 4*l - 4*l)*(0*l + 3*l - 5*l + 1 - 1 + 2*l + (0 + 1 + 0)*(2*l - 3*l - 3*l)).\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2237, 2165, 2093?\nAnswer: 2021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -17367*z + 138927. Calculate n(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -94351, -94340, -94329, -94318?\n\"Answer: 11*o - 94362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/((l**(-6\/7)\/l)\/l)))\/(l*l\/((l**(9\/5)*l)\/l)))\/(l\/(l\/l**(11\/4))*l*l**6) assuming l is positive.\nAnswer: l**(-1793\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12607*t*w**2 + 2*t*w + t + w + 2504 wrt w?\nAnswer: -25214*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1761 + -1682.02. Let q = k + -79. Put -0.3, q, -4 in descending order.\nAnswer: q, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of 7*x**6\/24 - 16*x**3\/3 + 15*x**2. What is the first derivative of g(m) wrt m?\nAnswer: 105*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/17529 and -49\/105174?\nAnswer: 105174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-2)*(-171)\/(-114)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 346131 = -5*b, 2*s - 432673 = -3*s + 3*b. Suppose 19*g - 47625 = s. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44446, 76890, 109334?\nAnswer: 141778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 306 = -4*x + 306, 0 = -2*x + 2*n + 306. Let i = x + 16. What is the common denominator of 31\/16 and (-28)\/(-9)*i\/104?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1635 and 12338.\nAnswer: 20172630","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: -11016 (base 7) to base 3\nAnswer: -10210010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20 or -273?\nAnswer: -273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {f: 1, c: 3, q: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -198 less than or equal to -203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*t - 2*l + 24 = -25*t, -4*l - 12 = 4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1082093 (b) 5\/4 (c) 2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.2, -5, 0.2, 1\/6, 257\/2 in increasing order.\nAnswer: -5, -0.2, 1\/6, 0.2, 2, 257\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*d - 40*d - 7*d)*(-54*d**3 - 63*d**3 + 20*d**3) to m*d + w + l*d**3 + z*d**4 + x*d**2 and give z.\nAnswer: 3492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.32 times -2208849\nAnswer: 706831.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 661 (b) 0.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b**2 - 82*b - 216. Give l(-19).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -354.51383 to the nearest ten.\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 2:49 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 69064 and 6966831.\nAnswer: 55734648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i**2 + 42*i + 2. Let v be w(-14). Solve 0 = -4*g + v*g - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -6. Let q(w) = -w - 2. Let d be q(0). Let o be d*(n - 2) - -5. Let t(k) = -2*k + 3. What is t(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**3 - 8911*t**2 + 451754*t + 939160 = 0?\nAnswer: -2, 53, 8860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5821 - 153.5821. Sort 1, -3, s, -5.\nAnswer: s, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 784\/560*5*-5?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + sqrt(1584) + sqrt(1584) + -1)**2.\nAnswer: -576*sqrt(11) + 25380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3 = j + 4, 5*j + 17 = -3*x. Let t be (-15)\/(-3)*(-6)\/(-15)*x. Determine k, given that -1\/9*k**t - 4\/9*k - 4\/9 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (358 - 358 + 29*a)*(-a + 0*a + 2*a) + 2*a**2 - a**2 + a**2.\nAnswer: 31*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -7*v + 18. Suppose v*r + 3*m = r + 10, -50 = -5*r - 3*m. Let b(x) = 70*x + 21. Is b(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -9*q + 1. Let k(v) = -10*v + 1. What is -5*k(r) + 6*y(r)?\nAnswer: -4*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*2)\/(sqrt(16)\/sqrt(4)*-4 - sqrt(4)).\nAnswer: -12*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -220 and -0.4.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g + 69*g + 1590 = 0. Let p be (22\/(-6))\/((-1)\/(-6)). Let l = p - g. What is the remainder when l is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 3853?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*w - 37*w - 40*w + 173*w - 28*w - 36*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 496 (b) -48 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/2)\/((-11)\/(-66)). Let o(h) = -h**2 + 2*h + 7. Let t be o(z). Let x = -0.13 + 0.03. Which is the nearest to x? (a) t (b) -7 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*d*m*w**2 - d*m*w + d*w**2 - 32*d - 3066*m*w + 2*w**2 wrt d?\nAnswer: -5*m*w**2 - m*w + w**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.04, -0.4, -0.07, -1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 308 - 177. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1033\/3 - -365. Let r = 21 - x. Let s = -0.09 + 0.09. What is the closest to s in -3\/7, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287148?\nAnswer: 2, 3, 23929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6529?\nAnswer: 6529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -1\/11 (c) 4 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1638 + 2638. Suppose -11*g + x + 1101 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**3 + 13*i**2 - 4. Let m(x) = -4*x**2 + 1 - 3*x**3 - 2*x**3 + 4*x**3. Give 7*m(c) + 2*r(c).\nAnswer: -c**3 - 2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-126)*-7*(1 - -3). Which is the second biggest value? (a) 0 (b) g (c) -2 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05683115309 + 1843\nAnswer: 1842.94316884691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (69\/15 + -3). Let s = 24.76 - 25.76. Which is the closest to s? (a) i (b) 6 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*s - 0*s + 12, 0 = -v + 3*s - 9. Suppose -2*a + 21 + 43 = v. Let z = a - 21. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -53846991 less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjtptmpjjjptpptdttd. What is prob of picking 1 t and 1 p?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, y: 1, c: 5, r: 3}. Give prob of picking 2 c and 2 r.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-54540)\/(-144))\/101*14\/875)\/(6\/(-4))?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54729009 and 846?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*l**6 - 508704*l**3 + 26*l**2 + 3*l + 160568?\nAnswer: 2040*l**3 - 3052224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 9*m**2 + 6*m + 12. Let f be ((-6)\/6)\/((-3)\/(-18)). Let a(j) = -j**3 - 7*j**2 - 6*j - 3. Let w be a(f). What is the units digit of u(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 116 - 116. Let k(i) be the first derivative of 1\/25*i**5 + 0*i**2 - 3 + m*i**3 + 0*i**4 + 0*i. Find h such that k(h) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssbb when four letters picked without replacement from {r: 3, d: 2, y: 1, b: 2, k: 1, s: 3}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -5, -3.\nAnswer: -5, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-385320)\/3887)\/(-57))\/10.\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 42460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 862746 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (2216\/19390)\/(2\/(-14))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -14099?\nAnswer: 14097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86, -754, -1866, -3422, -5422, -7866, -10754?\nAnswer: -14086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1785 to the nearest 10.\nAnswer: -1790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 0*l - 8*l + 0*l - 7. Let c be ((-258)\/33 - -3) + (-2)\/11. Let u(n) = 7*n + 6. Give c*t(d) - 6*u(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eheehhee. What is prob of sequence eee?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 w when three letters picked without replacement from {v: 3, i: 1, w: 1, t: 2, e: 8, b: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 507 divide 1518465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16462923*d**4 - d**3 - 65740007*d + 2?\nAnswer: -197555076*d**2 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k + 508. Let m(q) = -2*q - 1268. Let g(u) = -12*f(u) - 5*m(u). Let h(a) = 4*a**2. Determine g(h(r)).\nAnswer: -8*r**2 + 244","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 0 - 3 + (-10 - 20 + 6)*(3 - 3 - 2))*(-5*d + 3*d - d + (2 - 3 + 0)*(0*d - 2*d + d)) to q + l*d and give l.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 2322689.\nAnswer: 1\/2322689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a**3\/3 + 11*a**2\/2 + 13*a. Let y be f(2). Suppose -y*o + 11*o = 356. List the prime factors of o.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5*(-2*(-1*sqrt(171) + sqrt(171) + sqrt(171)) + (2*sqrt(171) - sqrt(171)) + -1)**2 + 0)*-5.\nAnswer: -25800 - 900*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*k + 9*k**3 - 20*k - 3*k**3 + (0*k - 2*k + 4*k)*(2*k**2 + k**2 - 2*k**2).\nAnswer: 8*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-47042)\/(-12) + (-129)\/774?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -372400 divided by -80.\nAnswer: 4655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.78, 619\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 207008563?\nAnswer: -207008559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 3 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j**3*q + j**3*y**3 + 418*j**3*y**2 - 2541*j*q*y**3 - 22*j*y**3 - 205*y**2 - 3 wrt y.\nAnswer: 6*j**3 - 15246*j*q - 132*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 27 = 3*x, -36 = 5*x + k + 9. Let z(m) = -5*m + 9. Let j be z(x). Let h = -36 + j. What is the highest common factor of 198 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*h = -5*i + 8, 0 = 5*i - 2*h - 20. Factor -1\/3*b**3 + 1\/3*b + 1\/3*b**2 + 0 - 1\/3*b**i.\nAnswer: -b*(b - 1)*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44*13\/(-52) - (6 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h**2 + 13*h - 7. Let a(b) = 2*b**2 + 7*b - 4. Let m be (-348)\/(-87)*7\/(-4). Give m*a(w) + 4*p(w).\nAnswer: 2*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 995813*n**5 - 556*n**2 + 524*n wrt n.\nAnswer: 59748780*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1435.27 + -1429. Let g = 5.552 - s. Let t = g + 0.61. What is t rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319577492.\nAnswer: 2, 13, 17, 19, 53, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/6)\/(516\/(-3440))\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 428 a factor of 273920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (102\/(-56))\/(-3) - (-6)\/42.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27536335?\nAnswer: 5, 5507267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h + 14. Determine b(-16).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 (base 11) in base 16?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -434822*f**3*l**3 + f**3 - 18*f**2*l**3 - 13730861*f**2*l**2 wrt l?\nAnswer: -2608932*f**3 - 108*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w - 6. Calculate y(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*a**2 + 23*a**2 + 31*a**2 + 30*a**2.\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -255 (base 6) to base 5\nAnswer: -412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4291 - -94439\/22. Let j be (-2)\/(-6) + (-10325)\/(-90). Let g = j + -117. Calculate the common denominator of t and g.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -5. Suppose z + 3*r - 1 = -5, 3*r = -5*z + f. List the prime factors of (-1)\/z - (-11)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4488 + 189*t + 4*t**2 + 19*t**3 - 2*t**4 - 187*t + 4491 in the form f*t**4 + q*t + o + i*t**3 + v*t**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 432420010044?\nAnswer: 432420010042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b - 9. Let h(a) = 7*a + 5*a - 21*a + 11*a. Calculate i(h(q)).\nAnswer: -6*q - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 278*w**3 - 16*w**2 + 2*w.\nAnswer: 1668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000172646 rounded to seven dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2348 - 350. Let i be d\/15 - 4\/30. Let p be 112\/i - ((-58)\/18 + 3). Which is the smallest value? (a) p (b) -0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -55 less than -49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 3*p - 1820, 1860 = -0*p + 3*p - 3*o. Let u = p + -591. Calculate the remainder when 77 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39542383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 4*o**2 + 5*o - 15. Let a be f(4). Suppose 3*v - 3*d - 1039 + 337 = 0, 0 = a*v - 2*d - 1170. What is the highest common factor of v and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**1)**(2\/3))**(-29) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - s + 3 = 0, -8*w + 3*w + 1 = 4*s. Let j be w\/(-1)*(-3 + 0). Suppose i = -3*i + 12, -2*q = -j*i - 17391. Round q to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*i**3*z**3 + i**3*z - 86*i**2*z + 175*i*z**5 + 2*i*z - 2*z wrt z.\nAnswer: 162*i**3*z + 3500*i*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -17*a. Let g(j) = 12*j. Determine g(x(v)).\nAnswer: -204*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 31*c + 209. What is p(-11)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22308, -44604, -66900?\nAnswer: -89196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 5:03 PM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llddxdsmxlxdtl. Give prob of picking 1 m and 1 d.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -38*l**3 + 17*l**2 - 20*l. Let p(h) = 13*h**3 - 6*h**2 + 7*h. Suppose 5*d - 2*u = 99, 0 = -285*d + 281*d + 5*u + 103. Calculate d*p(i) + 6*z(i).\nAnswer: -7*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1603336 and 390.\nAnswer: 312650520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1304*h = -1201*h + 824 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/5 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {v: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 10*p**2 + 6*p + 68. Let x be q(-7). Let n(l) = 0*l**2 + 512*l - 3*l**2 + l**3 - 2*l**2 - x*l - 4. Calculate n(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 4553?\nAnswer: 4552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -101101111111111110001111 (base 2) in base 4?\nAnswer: -231333332033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15\/3 - 8)*64\/(-6). Let b be 8\/(t\/76) - 2\/2. Solve -b = 5*o + 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 215\/7 + (-8)\/(-28). Suppose -s + 16 + r = 0. Suppose 4*p = 1 + s. Calculate the remainder when p is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 7\/3, 2, 0.01?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**4 + 17*h**2 - h + 3*h - 6*h**2 + 0*h**4 as s*h**4 + t*h**3 + p + r*h**2 + i*h and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0419 in 2\/9, -1\/3, -1.6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 10:05 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 199 + 203 = 0. Suppose 1 = a - r. Factor -64 - 36*p**a + 62*p**3 + 124*p**2 - 224*p - 42*p**3.\nAnswer: -4*(p - 4)**2*(4*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/22)*q)\/q)**43\/((q*q\/(q*q\/(q\/(q\/((((q\/(q**(-4\/17)*q*q)*q)\/q*q)\/q)\/q)))*q))\/q**(-36)) assuming q is positive.\nAnswer: q**(-11699\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-166443)\/12725 + 4\/50?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4, 238 = 4*y + 2*f - 1002. Let w = y + -209. Which is greater: 101 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/2)*y)**(-3\/32)*(y**1)**(2\/11))\/((y\/(y\/(y*y**(-1))))**24\/((y*y**5)\/(y*y\/y**(-4)))) assuming y is positive.\nAnswer: y**(95\/704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 882 + 1862. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 10:04 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -762, 782, -3 in increasing order.\nAnswer: -762, -3, 782","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lsx when three letters picked without replacement from {i: 1, p: 1, s: 1, y: 5, l: 2, x: 6}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u - u**3 + 0*u - u**4 + 10 - 11 - u**2 as f + v*u**3 + y*u + k*u**4 + m*u**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 352 and 10862390.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 6*u + (-3 + 0 + 4)*(-61*u - 44*u + 89*u) + (5*u - 3*u - u)*(-2 - 1 + 2) - 2*u - 2*u + 6*u + 1 - 1 + 3*u + u - 2*u + 2*u.\nAnswer: -17*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*i - 1. Let m(n) = -16*n + 138. Let u be m(8). Suppose 3*w + u = -i. Which is the third smallest value? (a) 0.01 (b) -1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (26\/(-5))\/(980\/(-325) + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cac when three letters picked without replacement from {a: 2, c: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 4:29 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 92 + -23. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b + 2*b - 3*b**4 - 2*b - 3*b wrt b.\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -342539 + 105?\nAnswer: -342434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - p + 1. Suppose 6*q = 2*q + 5*v + 23, -3*q = -3*v - 21. Let s(m) = q*m**2 + 4 - 88*m + 176*m - 92*m. Calculate -s(l) + 4*w(l).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mre when three letters picked without replacement from rrrerme?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zdzu when four letters picked without replacement from {g: 4, d: 3, z: 4, u: 4}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1267 (base 14) to base 15\nAnswer: e52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8, -10, -12, -14, -16, -18?\n\"Answer: -2*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzz when four letters picked without replacement from zzzzzzzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3989836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-3)\/1*11\/33).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000000000010101111 - 1110000?\nAnswer: -1000000000100011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/(-81) - 946\/(-9). Let b = 186 - f. Is 27 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + -57253282138385?\nAnswer: -57253282138385.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b - 1. Let p be s(-2). Solve n - p - 9 = -4*h, 8 = 4*n + 4*h for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 249\/(-830) + (-469)\/(-2030).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/5, -0.13222 in decreasing order.\nAnswer: 1\/5, -0.13222, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20613902.\nAnswer: 2, 577, 17863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 552 and 24?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s + 2. Let j be i(1). Let t(g) = -3*g - 1. Let a(d) = d**2 + d + 1. Let h(q) = -2*a(q) - t(q). Let z be h(j). Which is bigger: z or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 508, 6, 5, 0, 1 in decreasing order.\nAnswer: 508, 6, 5, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(152))\/sqrt(8) + -3.\nAnswer: -sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65\/(-10))\/13*2\/(-9).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(0*f**3 - f**3 + 2*f**3) - 70*f - 10 + 76*f**3 + 67*f - 61*f**3.\nAnswer: 16*f**3 - 3*f - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 193 - -39.4\nAnswer: 232.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 153*y - 72244. Calculate x(203).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**4\/5 - 2181*x**3\/5 - 1316438*x**2\/5 - 243442812*x\/5 - 481637304\/5 = 0.\nAnswer: -1327, -426, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 37*y - 691. Give s(19).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36791 - -36795. Solve i*q + 5*p = 32, 4 + 23 = 5*q + 3*p for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllllllllltml. Give prob of sequence ltl.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 1248.\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 1060243203?\nAnswer: 1060243204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rkkrkwrkttt. Give prob of picking 3 t and 1 r.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*q - 24*q**2 - 35*q + 82*q.\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 9:25 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-98)\/(-88) + 4\/32*-6?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2*b + 3)*(0*b**2 - 2*b**3 + 0*b**2) + (-43*b**3 - 63*b**3 - 278*b**3)*(4*b - 5*b + 6*b) to w*b**4 + r + a*b**2 + f*b**3 + g*b and give w.\nAnswer: -1924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 276.\nAnswer: 2484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*k + 104*k - 1846*k**2 - 165*k in the form p*k + w*k**2 + z and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m**5\/9 + 2734*m**4\/3 - 2228986*m**3\/9 + 118278934*m**2\/9 + 4441745774*m\/3 - 3338666968\/9 = 0 for m.\nAnswer: -52, 1\/4, 227, 623","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 11:38 PM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -275 - -276. Let x = 0.4 + 6.6. Let h = x - q. Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-10))\/((-1)\/5). Suppose -4*a + 0*z + 299996 = -z, 0 = 2*a - n*z - 149992. Round a to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38)\/8)\/(11\/132)*54\/(-81)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -17*f + 5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -13365567 (base 8) to base 3\nAnswer: -12122220010020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1296 and 44964.\nAnswer: 1618704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7754 - -449825\/58. Find the common denominator of t and 51\/14.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 3*a**2\/5 + 63846*a\/5 + 339692643\/5 = 0.\nAnswer: -10641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18910.\nAnswer: 2, 5, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 5*k - 7 - 19, 16 = -u - 3*k. Put 1, u, 2 in decreasing order.\nAnswer: 2, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 - -53. Is 1 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18218 - 10111. Let j = w + -14907. What is j rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 123 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 185891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 7*y - 386. Let v(f) = 4*f**2 + 25*f - 1159. Give 7*g(q) - 2*v(q).\nAnswer: -q**2 - q - 384","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 2, n: 3, d: 2, i: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53\/3 + 18. Let l = 76 - 18. Let q = 53 - l. Which is smaller: j or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -4. Let i be (-38)\/(-60) - ((-70)\/84)\/5. Which is the second biggest value? (a) i (b) q (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -8*h - 44. Let u be j(-6). Let c(k) be the third derivative of -4\/3*k**3 + 2*k**2 - 1\/30*k**5 + 1\/3*k**u + 0*k + 0. What is w in c(w) = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6191 is divided by 508?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1215 divide 4994936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**2 + 2 - 2 + (-6*h + h - 9*h)*(4*h - 8*h + 2*h)*(-4 + 3 + 3).\nAnswer: 55*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 8. Let r = -3.5 - -2.68. Let k = -0.18 + r. Put f, 1\/2, k in increasing order.\nAnswer: f, k, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 147.3 + -147. Let v = -0.3 - -4.3. Which is the nearest to z? (a) v (b) 0.3 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 9*c + 12. Let i(j) = j + 1. Determine 5*i(t) - p(t).\nAnswer: -4*t - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 49*d - 48*d + 13 = 0, -3*u = -d - 17 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -0.39, 1\/9?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.45323l in millilitres?\nAnswer: 58453.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ette. What is prob of sequence te?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2.345226 centimeters?\nAnswer: 23.45226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 258252000 rounded to the nearest one million?\nAnswer: 258000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03331516191 to six decimal places.\nAnswer: 0.033315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 3 + 3)*(1 + 0 + 1 + 1 - 2 + 2 - 5 + 1 + 2 + (1 - 3 + 3)*(-3 + 2 + 0) + 48 + 4 + 14)*(-4*w - w + w).\nAnswer: -264*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 2)*(r - r + 3*r) - 11*r + 28 - 28 to the form k*r + h and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 11:22 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2762720158 and 10406.\nAnswer: 10406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110423988?\nAnswer: 2, 3, 41, 79, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63728784 is divided by 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9340 + -9337. Let k(t) be the first derivative of -14 - 2\/3*t**n + 0*t**4 - 7\/3*t**6 + 0*t**5 + 0*t + 0*t**2. Find the third derivative of k(v) wrt v.\nAnswer: -840*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1750528657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**7\/315 - 2*s**6\/45 + 56*s**5\/45 - 64*s**4\/9 - 111*s**2 + 5. Factor g(q).\nAnswer: -2*q*(q - 4)**2*(q + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 6*p**2. Suppose -x + 25 = 4*f - 2*x, 2*x - 6 = 0. Let o be (f - 3)\/1 - -1. Let g(q) = -3*q**2. What is o*g(v) + 2*b(v)?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -k**4\/6 - 110*k**3 - 27225*k**2 + 66*k - 51. Factor h(b).\nAnswer: -2*(b + 165)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30378 is divided by 2661.\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -179 + 181. Is 17 a factor of c\/(2\/35) - (1 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 74410 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 16326 (base 9) to base 8\nAnswer: 25702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 56*l**2 - 14*l + 2. Let u be w(-11). What is u rounded to the nearest one hundred?\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61\/3 + -259\/12. Put -0.4, -5, k in decreasing order.\nAnswer: -0.4, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1.15, 5, 0.4?\nAnswer: 1.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2017 (base 15) to base 6.\nAnswer: 51204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 40754*x**3 + 284*x**2 - 284*x. Let d(s) = 429*s**3 + 3*s**2 - 3*s. Determine 3*b(n) - 284*d(n).\nAnswer: 426*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 58, 70, 100, 154?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2825 in 2\/7, 2\/5, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 153\/13 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/(-850))\/((2\/(-2))\/(-4)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 47 = m, 9*j - 4*j + 25 = 0. Let g be m + -1 - (9 + -10). Suppose -2*x = -27 - g. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 275 = s, 5*s + 4*h = h + 1367. Let f = -186 + s. Does 22 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*f - 220423 = -218055 for f.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*w - w**4 + 13*w - 2*w**2 + 0*w**4 - w**2 + 2*w**3 to the form b + z*w**4 + j*w**3 + h*w + f*w**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195676*0.022.\nAnswer: 4304.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4206 and 2106?\nAnswer: 1476306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w - 11. Let c(v) = -2*v + 10. Let o(n) = -4*c(n) - 3*z(n). Determine o(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (2 - 4) + 300 + -300 + 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 285 = 4*o, -2*c + 0*c - 2 = 0. Let j = 147 + o. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c + 3. Let t be m(0). Let z(w) = 61*w - 362. Let q be z(6). Suppose -8 = -t*n - x + 2*x, -5*x = q*n - 36. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/2)\/((-2)\/72). Suppose 3*n + q = 6*n - 4*z, 0 = -4*n - 4*z + 52. Let m = n + -3. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18805669781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 7, -5, 511, -28?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-70)\/30)\/(434\/2790).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229*w = 226*w + 1110. Is w a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(4\/21))\/(v**(-4\/9)\/v))\/(v**15\/v**1) assuming v is positive.\nAnswer: v**(-716\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2132 - -2135. Solve 3*n + 3*c = -0*c + 6, 2*n - s*c = -21 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u + 10*u + 11686 + 34060.\nAnswer: 4*u + 45746","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 165 = -8*w. Let s(g) = -46*g + 10. What is the tens digit of s(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 - 13 + 13 + 2*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -756, -792, -834, -870, -888?\n\"Answer: 2*h**3 - 15*h**2 - 5*h - 738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1655 + 2804. What is s rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2663087706 a multiple of 497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9944, -37475, -65006, -92537?\n\"Answer: -27531*x + 17587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/2)\/(8\/112*7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/745? (a) -4\/7 (b) 5\/11 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - 0)*111\/2. Suppose -3 = 2*p - 1. Is p\/(j\/(-57) - 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00047703 to five dps.\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4439, 4437, 4435, 4433, 4431, 4429?\n\"Answer: -2*a + 4441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/2*(-144)\/120.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 - 28)*(6*u + 87*u + u + 45*u) as a + x*u and give x.\nAnswer: -3753","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1108 and 2.\nAnswer: 1108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -9926.6.\nAnswer: -9926.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 423 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10335?\nAnswer: 3, 5, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 5:54 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 741*z**2 + 2308*z - 2308*z - 124*z**2. Let r(k) = 2*k. Give j(r(v)).\nAnswer: 2468*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 319771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -99 (base 14) to base 8.\nAnswer: -207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -387841 (base 10) to base 15\nAnswer: -79db1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b\/(b**3\/b))**(-22)\/(((b\/(b**(-2\/7)\/b)*b)\/b)\/(b**(-2\/13)\/b)))**(25\/6))**(-2\/37) assuming b is positive.\nAnswer: b**(57875\/10101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1002 + -666. Let v = -237 + d. Calculate the remainder when v is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2016)\/135)\/16 + 25\/((-375)\/(-12)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3773 + 2181 = 4*z - 12478. Is 24 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, y: 6, z: 3, i: 3, m: 5}. Give prob of picking 3 y.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 18 = 4*r, -4*b + 14 = -2*r. Let l(w) = 8*w - 1. Let h be l(1). Suppose -b*p - 2*q = -p - h, -q = -1. Solve -p*x - 3 = 7 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -26, -55, -88, -125, -166, -211?\n\"Answer: -2*r**2 - 23*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112330323023 + 2?\nAnswer: 112330323031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5943 greater than -84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 23 + 61 + -96?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -89893.89 + 89886.889993. Let p = 19 - 12. Let a = p + l. Round a to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -i - 2. Suppose -10 = -z + i. Calculate the remainder when z is divided by (19 + 4\/(-4))*(-4)\/(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361 a factor of 10108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p*p\/(p**(-2\/11)\/p)))*p**3)\/(p**0)**(-2\/11))**(-39) assuming p is positive.\nAnswer: p**(-2652\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5175 and 690?\nAnswer: 10350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 86055405923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1424, -2840, -4242, -5624, -6980, -8304, -9590?\n\"Answer: u**3 + u**2 - 1426*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5613662, 5613652, 5613626, 5613578, 5613502?\nAnswer: 5613392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3593 and -68.\nAnswer: -3661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p**2 + 13*p + 8. Let a be s(-3). Let j(b) = -105 + a*b - 4*b + 122. Calculate j(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2 + 5 + 2 - 5 + (-3 + 4 - 3)*(1 + 4 - 4) + 1 - 5 + 2)*(-4*i**4 - 1 + 1).\nAnswer: 16*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2999 and -82242.\nAnswer: -79243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -16*p**2 + 1322*p - 7339. Calculate u(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26785302*j**4 - 11*j**2 - 491954*j + 1 wrt j.\nAnswer: -642847248*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*c**5 - 6280*c**4 - 68085*c**3 - 212850*c**2 - 106920*c + 259200 = 0. Calculate c.\nAnswer: -240, -6, -3, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1026249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/2 (b) -5 (c) -4822\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 d, and 1 v when three letters picked without replacement from {d: 2, v: 2, h: 1}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/10 + (-418)\/(-5). Suppose i + 24 = s - 0*i, -z = -5*s - 4*i. Let h(m) = -m. Let b be h(-6). Solve s = b*j - j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-eight fifths of a tonne?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 3*q + 6. Let g be m(-4). Suppose g*a - 3 = -9. Let p(s) = 2*s + 10. Let i be p(a). Solve t = -5 + i for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 0.825 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 1\/4*g**4 - g + 0*g**2 + 0 + 0*g**3. Let t(j) = 2*j. Let i(y) = y. Let r(s) = 4*i(s) - 3*t(s). Determine r(m(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 40 = -4*f, -39 = 3*p + 5*f - 5. What are the prime factors of 81\/3*p\/(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154075 is divided by 76576?\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/3)*y*y*y**2*y*y)**(-10\/9) assuming y is positive.\nAnswer: y**(-170\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, d: 6, p: 3, c: 1, j: 1}. Give prob of picking 2 v, 1 c, and 1 j.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(700)*1)**2 + (sqrt(700) + 1)*-3 - (3 + 1 + sqrt(700) + sqrt(700) - (-3 + -4*sqrt(700)))**2.\nAnswer: -23852 - 870*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 79627320 to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 8. Suppose y - 4*q = 33, -32*y - 158 = -36*y + 3*q. Suppose 10 = -4*g - s*r - 30, 5*g - 4*r + y = 0. Put 3, -2, g in decreasing order.\nAnswer: 3, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 + 22229*t - 3492060.\nAnswer: (t - 156)*(t + 22385)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68195 and 3680.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -47*c + 47. What are the prime factors of u(-23)?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n = -25*n + 816. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 9*v = 936. Let n = v - 103. Is 33 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-1) + 2052\/(-1045))*5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) 1 (c) -4\/5 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 934 is divided by 193?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20829689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 2*b + 4*a + 182, -3*a + 342 = -4*b. Let j = b + 582. What are the prime factors of j\/7 - (-8)\/28?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14117, -14122, -14129, -14138, -14149, -14162?\nAnswer: -14177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 990085637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1004 + -3.\nAnswer: -2.8996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-56))\/1 + 1007\/133?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/9*(-5230)\/(-6799).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 2*a - 52 = 0, -1375*y - 2*a + 4 = -1374*y for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 685 divide 833875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 750 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -66264620?\nAnswer: -1\/33132310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s - 1. Let v be u(-5). Suppose 2*o - 3*o = -v. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-2))**20)**22*((r**(2\/5))**(12\/5))**(2\/53) assuming r is positive.\nAnswer: r**(1749048\/1325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d + 2*d - d)*(5 - 2 - 4) - 5*d - d + 0*d + 2*d + 19*d + 1 - 3*d to the form k*d + h and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8025\/(-5)*(-2)\/6.\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-5))\/(33\/330)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 - -0.3. Which is the closest to -3? (a) u (b) 0 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 11*z**2 - 29*z - 4. Let u(h) = 5*h**2 - 15*h - 2. Determine 2*d(m) - 5*u(m).\nAnswer: -3*m**2 + 17*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 588 and 25044.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1747*k + 844*k = 1204*k - 2587*k - 131142 for k.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, e: 3, u: 4, h: 2}. What is prob of sequence hh?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06267 to three dps.\nAnswer: -0.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f + 1 - 1)*(-5 + 1 + 2) - 69*f + 61*f - 44*f in the form t + x*f and give x.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.198 and 48.5?\nAnswer: 9.603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + -21. Suppose -h = -6*o - 1. Let z = -243.7 - -244. Which is the nearest to o? (a) 0 (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*q + 454, 3*g + 0*g - 463 = -4*q. What is the smallest common multiple of 11 and g?\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3995 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 22 - 34 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o**3 + 100*o**2 - 105*o - 35. What is h(-26)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1533680 and 13680?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.13 + -0.07. Suppose 12 = l - 2*x, -3*x - 16 = x. Let g be (-3)\/1*l\/28. Put q, g, -2 in descending order.\nAnswer: q, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 43*c - 12 - 42 - 84*c. List the prime factors of s(-11).\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -67*j - 43. Let l be u(16). Let o = 5557\/5 + l. Suppose n - 2*g = -g + 49, -4*n - 5*g = -160. What is the common denominator of n and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18153583021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/28 or -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (-1)\/((-1)\/12). What is the remainder when 56 is divided by 2\/4 - 222\/m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.5 - -0.5. Let n = 3.2 - 3. Let k = -1.8 - n. Sort a, -2\/3, k in increasing order.\nAnswer: a, k, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2479483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2 + y + 3*y - 5*y + 2*y. Let o be p(5). What are the prime factors of 2*3 - (3 - o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 5*i**2 - 5*i - 3. Let p be q(6). Suppose -5*h = -3*h. Suppose p*f - 2 - 1 = h. Solve f - 9 = -2*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-25 - 1 - -40 - -30).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247360?\nAnswer: 2, 5, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 + x**2 - 4 + x + 6 - 1)*(-6 - 1 + 2).\nAnswer: 5*x**3 - 5*x**2 - 5*x - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -0.1, -37 in descending order.\nAnswer: 3, -0.1, -1, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-15) - (172\/(-380) - -2)\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 - 18. Let q(k) = k**3 + 21*k**2 + 19*k - 17. Suppose -102 = 18*h + 258. Let m be q(h). Solve m*a + 28 = -4*z, z + z = -3*a - g for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1232*y - 1189*y + 4720*y - 1189*y - 1189*y.\nAnswer: -79*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*b**2 - 82*b**2 + 218*b**2 - 83*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21802, 21797, 21792?\nAnswer: 21787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 26618\/5, 0.2, -222, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**4)\/j)**(-24\/5)\/((j*j\/j**(-1\/2))\/j**(-10)))**(2\/5) assuming j is positive.\nAnswer: j**(67\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4 + 4*d + 0*d**3 + d**3 - d + 7*d**2. Let r(p) = -p**2 + 6*p + 66. Let w be r(12). Give m(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -974 + 978. Suppose -h = -3*h + 6. Suppose -3*c - i + 1 = 0, -h*c - 5*i = -6 + 1. Solve c = -4*a + q for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(96))\/(sqrt(24)\/sqrt(2)*3))**2 + (sqrt(18) + sqrt(18)*-1*-6 - (sqrt(162) + 1))**2 + 2.\nAnswer: -24*sqrt(2) + 2819\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20966 divided by -33.\nAnswer: 1906\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 13*k**3 - 4*k**2 - 5*k - 5. Let h(z) = 7*z**3 - 2*z**2 - 2*z - 2. Let p(g) = -5*h(g) + 2*x(g). Find the third derivative of p(t) wrt t.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121201 + 2?\nAnswer: 121210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/20 and -29\/2280.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 8. Find the third derivative of -3*i**h + 9*i**5 - 3*i**6 - 9*i**5 wrt i.\nAnswer: -360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -290*u + 304*u - 28. What is the nearest to -2 in 3, 7\/5, u, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -12*g + 19*g - 5*g. Let o(d) = -405*d. Calculate j(o(r)).\nAnswer: -810*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-6)\/(-8) + 513\/(-756))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537972 is divided by 135.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3435527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 0 + (3 + sqrt(468) + -1)**2*-4 + (sqrt(91) - (sqrt(91) + ((sqrt(91) - sqrt(91)*-1) + sqrt(91) - sqrt(91))*1))\/sqrt(7)*6*6.\nAnswer: -1893 - 168*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 74254 * 0.04\nAnswer: 2970.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 3498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*k**2 - 63*k**2 - 110*k**2 - 3.\nAnswer: 3*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1370\/686 - (-24)\/(-12). Let t = -709\/7889 - j. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 333 - 229. Let s = -284.8 + 190. Let j = v + s. What is j rounded to 0 decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 856 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/42)\/(23*(-57)\/(-3059))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (21 + -39 - (-16 + 3 + 4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 8 = -4*u, 0 = -5*t - u - 4*u + 20. Let a = -1126 + 1134. Solve t*d - 12 = -y, 3*y + a + 0 = -d for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155219304677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 16 (b) 4\/9 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/((-1836)\/(-588)) + (2 - 3 - 2)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.581 * -1104.\nAnswer: 641.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118071498.\nAnswer: 2, 3, 31, 634793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**3 + 148*u**2 + 123*u - 426. Calculate h(-73).\nAnswer: 1253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (-9 - -21) + -15.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6274616 is divided by 5313?\nAnswer: 5276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-212 + 229 - 741)*(0*u - 5*u + 3*u)*(1 - 3 + 1)*(2*u**2 + 4*u**2 - 4*u**2) in the form i + l*u**2 + d*u + n*u**3 and give n.\nAnswer: -2896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2*sqrt(245) + sqrt(245) + (0 + sqrt(245) + 1)**2.\nAnswer: 7*sqrt(5) + 251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.155840359041+4.3\nAnswer: 4.455840359041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1624\/19 at least as big as 86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -267 + 267. Suppose 5*a - 4*q = 27449, -3*a + 3*q = -z*a - 16467. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.4 + 2.1. Let q = -13 - -9. Which is the third biggest value? (a) 0.3 (b) q (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 374*r**2 + 32*r - 4. Let o(h) = -749*h**2 - 72*h + 9. Let p(z) = -9*b(z) - 4*o(z). Let t(j) = -2*j. What is t(p(l))?\nAnswer: 740*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -47*f**2 + 2. Let n(k) be the second derivative of k**4\/4 - 18518*k. Give w(n(y)).\nAnswer: -282*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-564*g**3 - 156699 + 156699)*(4 - 4 - 2).\nAnswer: 1128*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -619254 - 0.245232?\nAnswer: -619254.245232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*m - 357*m + 180*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -324822 (base 14) in base 9?\nAnswer: -3174816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14805 - -236969\/16. What is the common denominator of p and 47\/318?\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 15 = -g + 5*f, -2*f = 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cycr when four letters picked without replacement from stssyybcsccr?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 6*q**2 - 240*q + 870. What is u(36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -27*h**3 - 3*h - 2. Let o be a(-1). Suppose 0 = -3*y - q - 3*q + o, -5*q = -20. Suppose -4*w + j = -21, y*w = 3*w - 5*j. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 148\/585 - 2\/65. Let j(h) = -3*h. Let o be j(-1). What is the nearest to g in -3, -2, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 4*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iddiiddijdj. What is prob of picking 2 j, 1 i, and 1 d?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -123 + 296. Suppose 2*a - k = 83. What is the smallest common multiple of a and 2?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gkk when three letters picked without replacement from pgpggkggggggk.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7323 is divided by 1753?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 q when four letters picked without replacement from {o: 7, q: 4, w: 1, e: 2, y: 2}.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**5\/60 + g**4\/8 - 4*g**3\/3 + 12*g**2. Is s(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76466 is divided by 805?\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68478?\nAnswer: 2, 3, 101, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8847?\nAnswer: 3, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1728, 3332, 4886, 6390, 7844?\n\"Answer: -25*f**2 + 1679*f + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 3*j**2 - 57*j - 11. What is s(-9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z + 15 = -17*z - 3*y, 1090 - 1096 = -2*z + 2*y for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*k**2*p**3*w + 4*k**2*p**2 + 3*k**2 + p**3*w - 2*p**3 + 6921*p*w + 26*p + 17 wrt w.\nAnswer: 8*k**2*p**3 + p**3 + 6921*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 + 2581522*k**2 - 5163050*k + 2581526.\nAnswer: 2*(k - 1)**2*(k + 1290763)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2415432 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -7*o - 2. Let t be u(-5). Calculate the greatest common factor of 3 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 3\/2*s**4 - 285\/2*s - 117\/2*s**2 + 21\/2*s**3 - 75 = 0.\nAnswer: -10, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 - 28.95. Let w = -0.05 + k. Let x = w - 4. Which is smaller: x or 3\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a decade in months?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10 (b) 5\/214 (c) -441\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 7:12 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 704261834?\nAnswer: 2, 9413, 37409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 143.8 + -144. Put 5, 3, j, -2\/7 in ascending order.\nAnswer: -2\/7, j, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14564 + -6744. Suppose -10459 = -9*w + k. Is w a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 4*p + p)*(4 + 2*p**2 - 4) - 3*p**3 + 0*p**3 + 5*p**3 + (-1 + 5*p + 1)*(-597*p**2 - 961*p**2 + 2262*p**2).\nAnswer: 3524*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 9*g**2 - 3*g - 10. Let v be x(-9). Suppose -4*y = o - 11 - v, -12 = -3*o. Calculate the remainder when 44 is divided by (-45)\/y*(-1 - 1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 5*r**4\/4 - r**3 - r**2 + 3*r + 5. Is 9 a factor of b(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 5*l + 5. Let v be u(4). Let x be 1 - -1 - (v + 1). Let y(d) = d**3. Let w be y(x). Solve -1 = -m - 3*r - 12, 5*m - 4*r - 21 = w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3800384 and 6664.\nAnswer: 26602688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3207657, 6415356, 9623057, 12830760, 16038465, 19246172?\nAnswer: 22453881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 7*b**2 + 5*b - 1. Let g(o) = 2*o**3 - 10*o**2 - 7*o + 1. What is 5*g(t) + 7*s(t)?\nAnswer: 3*t**3 - t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1593 is divided by 686\/9 + (-3)\/((-135)\/(-10))?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6*s. Let i(y) = 5*y. Determine 6*d(q) + 5*i(q).\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -28*(37 + (-2915)\/77)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-36)\/(-16))\/((-8)\/(3 - 8163))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -p**6\/90 + 8*p**5\/15 - 14*p**4\/3 - 3*p**3 - 5*p + 3. Let q(d) be the second derivative of r(d). Factor q(w).\nAnswer: -4*(w - 14)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/((9\/(-66))\/1). Let g be 27 + 3*(-4)\/(-12). Let z = g + m. Solve u = z*u + 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 4. Solve 3 = -4*v - l for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 28608, 57219, 85848, 114495, 143160?\n\"Answer: 9*l**2 + 28584*l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 2 - 5)*(3 - 1 - 1 + (-4 + 5 - 3)*(-1 + 3 + 0) + 3 + 0 - 2 + (0 + 0 - 2)*(-2 - 4 + 3))*(-4*m**4 + 0*m**4 + 231*m**2 - 229*m**2).\nAnswer: 304*m**4 - 152*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/832 and -71\/32832.\nAnswer: 426816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3 + -1*sqrt(1700) + 2 + sqrt(1700) + sqrt(1700)*1 + -1))**2.\nAnswer: 2000*sqrt(17) + 42900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/15, 24\/2803, 2\/5, -9, -0.4 in increasing order.\nAnswer: -9, -0.4, 24\/2803, 2\/5, 8\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38.973 - 39.2. What is g rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11923 - -11934. Calculate the remainder when (-2 - 6)*46\/(-4) is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 1\/4 (b) -10.23 (c) 5 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**2\/2 + 2803*r - 5604 = 0. Calculate r.\nAnswer: 2, 5604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -807 + 807 + 8735*f**2.\nAnswer: 8735*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124606219.\nAnswer: 124606219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000067632 rounded to six dps?\nAnswer: 0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, w: 7, p: 2}. Give prob of sequence ww.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a century in months?\nAnswer: 10080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}